Answers
Answer:
130
Step-by-step explanation:
let the inside value be,x
x+30°+20°=180°(Being sum of interior angle of triangle)
or,x+50°=180°
or,x=180°-50°
or,x=130°
Now,
let the exterior angle be,a
a=x(VOA)
a=130°
Therefore the value of a is 130°.
Related Questions
urgently needing help
Answers
Answer:
the answer is 86,016
Step-by-step explanation:
i took the test
Answer:
The answer is 4.
Step-by-step explanation:
8(-1)^4 - 3(-1) - 7
8 + 3 - 7
11 - 7
4
Show all work to write the expression in simplified radical form:
[tex]\sqrt[4]{3^{7}}[/tex]
(Fourth root of three to the seventh power)
Answers
Answer:
1.873
Step-by-step explanation:
Use the exponent rule for roots
[tex]\sqrt[4]{3^{7} } = 3^{\frac{4}{7} }=3^{0.5714} = 1.873[/tex]
Good luck!
Patrick is an electrical engineer who is testing the voltage of a circuit given a certain current and resistance. He uses the following formula to calculate voltage: voltage=(current) × (resistance) The circuit he tests had a current of 4+j2 amps and a resistance of 2-j3 ohms. What is the voltage of the current?
Answers
Based on the given current and the given resistance, the voltage of the current is 14 + j8
How to determine the voltage of the current?From the question, we have the following parameters
current of 4+j2 amps and a resistance of 2-j3 ohms.
This can be rewritten as:
Current (I) = 4+j2 amps
Resistance (R) = 2-j3 ohms.
The formula to calculate voltage is given as
Voltage=(current) × (resistance)
Rewrite as:
V = I * R
Substitute the known values in the above equation
V = (4 + j2) * (2 - j3)
Expand the brackets
V = 8 - j4 + j12 + 6
Collect the like ters
V = 8 + 6 - j4 + j12
Evaluate the like term
V = 14 + j8
Based on the given current and the given resistance, the voltage of the current is 14 + j8
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On a baseball
field, the
pitcher's
mound is 60.5
feet from home
plate. During
practice, a
batter hits a ball
226 feet at an
angle of 39° to
the right of the
pitcher's
mound. An
outfielder
catches the ball
and throws it to
the pitcher.
Approximately
how far does
the outfielder
throw the ball?
outfielder
batter
A. 147.2 ft
B. 172.1 ft
C. 183.0 ft
D. 162.8 ft
Answers
Based on the distance of the pitcher's mound from the home plate, the path of the ball, and the height the ball was hit, the distance the outfielder threw the ball is C. 183.0 ft.
How far did the outfielder throw the ball?Based on the shape of a mound, the law of cosines can be used.
The distance the ball was thrown by the outfielder can therefore be d.
Distance is:
d² = 60.5² + 226² - (2 x 60.5 x 226 x Cos(39))
d ²= 33,484.42ft
Then find the square root:
d = √33,484.42
= 182.9874
= 183 ft
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Taylor is building doghouses to sell. Each doghouse requires 4 full sheets of plywood which Taylor cuts into new shapes. The plywood is shipped in bundles of 12 sheets.
How many doghouses can Taylor make from 16 bundles of plywood?
Answers
Answer: 48 doghouses
Step-by-step explanation:
We will look at the details given, then we will perform the necessary operations to solve the problem.
16 bundles of plywood * 12 sheets in a bundle = 192 sheets
192 total sheets / 4 sheets to build a dog house = 48 doghouses
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Q.2. Solve the following. a) How many triangles can you find in the figures below? b) How many different edges are used in these triangles? c) If the area of each of the 4 smallest triangles is the same and thi area is 1 square unit, what is the area of each triangle in the figure?
Answers
Total 8 triangles are formed in figure and 4 edges used to make triangles and The area of all triangle is 1 square unit.
According to the statement
we have given that a figure and we have to the number of triangle present in it and the area of each square and the number of edges used in all triangles.
So, For this purpose, we know that the
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.
So,
A. The number of triangles present in figure:
There is a rectangle provided with two diagonals and due to this structure
Firstly 4 triangles are formed with 2 diagonals (big size).
And 4 triangles are formed in diagonals because diagonals cut each other (small size).
So, Total 8 triangles are formed in figure.
B. Edges used to form triangle :
there are 4 edges used to form triangles because of presence of overall shape of rectangle because triangles are formed in a rectangle shape.
So, 4 edges used to make triangles.
C. Area of the triangle:
If the area is 1 square unit and area of all triangles are same
So, The area of all triangle is 1 square unit.
So, Total 8 triangles are formed in figure and 4 edges used to make triangles and The area of all triangle is 1 square unit.
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Find the changes in each four month period
Month and Year Prices in Dollars per Gallon Absolute Change Relative Change
Apr-20 1.841 n/a n/a
Aug-20 2.183
Dec-20 2.195
Apr-21 2.858
Aug-21 3.158
Dec-21 3.307
Apr-22 4.109
b. How would you describe the change in the gas prices? Explain your answer.
c. Use the inflation calculator to find the costs of gas in April 2020 in 2022 dollars. Here is the
link to the calculator from the U.S. Bureau of Labor Statistics:
https://www.bls.gov/data/inflation_calculator.htm
d. How does the inflation-adjusted cost of gas in April 2020 compare to the April 2022 as an
absolute and relative change?
e. What can be attributed to the two most drastic rises in gasoline prices? Explain in a sentence
or two.
Answers
a. The changes in each four-month period are as follows:
Month and Prices Absolute Relative
Year in Dollars Change Change
Apr-20 1.841 n/a n/a
Aug-20 2.183 $0.342 18.58%
Dec-20 2.195 0.012 0.55%
Apr-21 2.858 0.663 30.21%
Aug-21 3.158 0.300 10.50%
Dec-21 3.307 0.149 4.72%
Apr-22 4.109 0.802 24.25%
b. The change in gas prices has been relatively unstable.
c. Using the inflation calculator, the costs of gas in April 2020 in 2022 dollars terms should be $2.08.
d. The inflation-adjusted cost of gas in April 2020 when compared to April 2022 as absolute and relative changes are as follows:
Absolute change = $2.268 ($4.109 - $1.841)
Relative change = 123.2% ($2.268/$1.841 x 100)
e. The two most drastic rises in gasoline prices in April 2021 and April 2022 can be attributed to spikes in demand relative to supply.
What causes gasoline prices to rise?Gasoline prices rise when there is an increased demand relative to supply.
Increasing prices in gasoline prices can also be attributed to cuts in production and supply by the oil cartel.
What is the difference between Absolute and Relative Changes?An absolute change is a dollar change from one period to another.
A relative change is an absolute change expressed in percentages.
The calculations of absolute change and relative change are demonstrated below.
Data and Calculations:Month and Prices Absolute Relative
Year in Dollars Change Change
Apr-20 1.841 n/a n/a
Aug-20 2.183 $0.342 18.58% ($0.342/$1.841 x 100)
Dec-20 2.195 0.012 0.55% ($0.12/$2.183 x 100)
Apr-21 2.858 0.663 30.21% ($0.663/$2.195 x 100)
Aug-21 3.158 0.300 10.50% ($0.3/$2.858 x 100)
Dec-21 3.307 0.149 4.72% ($0.149/$3.158 x 100)
Apr-22 4.109 0.802 24.25% ($0.802/$3.307 x 100)
Absolute Change for Aug-20 = $0.342 ($2.183 - $1.841)
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Use the Divergence Theorem to evaluate the surface integral
Answers
Compute the divergence of [tex]\vec F[/tex].
[tex]\mathrm{div}(\vec F) = \dfrac{\partial(2x^3+y^3)}{\partial x} + \dfrac{\partial (y^3+z^3)}{\partial y} + \dfrac{\partial(3y^2z)}{\partial z} = 6x^2 + 3y^2 + 3y^2 = 6(x^2+y^2)[/tex]
By the divergence theorem, the integral of [tex]\vec F[/tex] across [tex]S[/tex] is equivalent to the integral of [tex]\mathrm{div}(\vec F)[/tex] over the interior of [tex]S[/tex], so that
[tex]\displaystyle \iint_S \vec F\cdot d\vec S = \iiint_{\mathrm{int}(S)} \mathrm{div}(\vec F)\,dV[/tex]
The paraboloid meets the [tex]x,y[/tex]-plane in a circle with radius 3, so we have
[tex]\mathrm{int}(S) = \left\{(x,y,z) \mid x^2+y^2\le3 \text{ and } 0 \le z \le 9-x^2-y^2\right\}[/tex]
and
[tex]\displaystyle \iiint_{\mathrm{int}(S)} \mathrm{div}(\vec F) \,dV = \int_{-3}^3 \int_{-\sqrt{9-x^2}}^{\sqrt{9-x^2}} \int_0^{9-x^2-y^2} 6(x^2+y^2)\,dz\,dy\,dx[/tex]
Convert to cylindrical coordinates, with
[tex]\begin{cases}x = r\cos(\theta) \\ y = r\sin(\theta) \\ z = \zeta \\ dV = dx\,dy\,dz = r\,dr\,d\theta\,d\zeta\end{cases}[/tex]
so that [tex]x^2+y^2=r^2[/tex], and the domain of integration is the set
[tex]\left\{(r,\theta,\zeta) \mid 0 \le r \le 3\text{ and } 0 \le \theta\le2\pi \text{ and } 0 \le \zeta \le 9-r^2\right\}[/tex]
Now compute the integral.
[tex]\displaystyle \int_0^3 \int_0^{2\pi} \int_0^{9-r^2} 6r^2\cdot r\,d\zeta\,d\theta\,dr = 12\pi \int_0^3 \int_0^{9-r^2} r^3\, d\zeta \, dr \\\\ ~~~~~~~~~~~~ = 12\pi \int_0^3 r^3 (9 - r^2) \, dr \\\\ ~~~~~~~~~~~~ = 12\pi \int_0^3 (9r^3 - r^5) \, dr \\\\ ~~~~~~~~~~~~ = 12\pi \left(\frac94 r^4 - \frac16 r^6\right)\bigg|_0^3 = 12\pi \left(\frac94\cdot3^4-\frac16\cdot3^6\right) = \boxed{729\pi}[/tex]
J(1)²,
x ≤ 0
x > 0
2²,
Complete the table of values for function f, and then plot the ordered pairs on the graph.
-2
-1
0
1
2
f(x)
=
X
f(x)
Drawing Tools
Select
Point
Open Point
>
O
Click on a tool to begin drawing.
-10
-8
-6
-4
-2
10
8
6
4-
2-
-2
पं
CC
f(x)
Delete
2
4
Undo
6
3
+00
8
Answers
Answer:
1/4 ,- 4, 1/2 2 1/2 4 1/4
Step-by-step explanation:
1/4, 4 1/2, 2,1/2,4, 1/4,
se the FOIL method to evaluate the expression: (5+2)(4-5)
Answers
The FOIL method is a method of expanding two given brackets by following the required steps. Thus using the FOIL method, the required answer is: -7
Expansion of brackets may be done using different methods, but these methods would give the same answer. Some methods that can be used are the binomial expansion method, FOIL method, etc.
The FOIL method is a shortened form of the steps required for the process. These required steps are First, Outside, Inside, and last.
Thus to expand the given brackets in the question, we have;
(5+2)(4-5) = 5(4 - 5) + 2(4 - 5)
= 20 - 25 + 8 - 10
= 28 - 35
(5+2)(4-5) = -7
Thus using the FOIL method, the answer to the question is -7.
Quick check: (5+2)(4-5) = (7)(-1)
= -7
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Two copies of the same Rational Function are shown below.
On the graph below draw the Horizontal Asymptote and write the equation for the horizontal asymptote underneath.
Answers
The equation for the horizontal asymptote will be y = -2.
How to illustrate the information?Since the degree of the numerator and denominator of f(x) is the same both being 1, therefore horizontal asymptote exists and is given by:
y = Leading coefficient of numerator of f(x) / Leading coefficient of denominator of f(x)
= y = -2/1
= y = -2
The vertical asymptote will be f(x) = -2x / (x + 3). To find the vertical asymptote we will equate the denominator of f(x) = 0
= x + 3 = 0
= x = -3
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6. A cube of side 10 cm is melted down
and made into ten identical spheres.
Calculate the surface area of one of the
spheres.
Answers
The surface area of the Spheres is 104.19 cm².
According to the statement
we have given that the
there is a cube with side 10 cm and convert into ten spheres and we have to find the surface area of a sphere.
So,
we know that the cube has a 6 sides, each one 10 x 10 cm
So,
A cube with sides of 10 cm will have a surface area of 600 cm².
And The volume of the cube will be 1,000 cm³ ( = 10 x 10 x 10).
If you melt it down to form ten identical spheres, each of them will have a volume of:
1,000 cm³ / 10 = 100 cm³
And the volume of a sphere is:
[tex]V = 4/3 (pi)r ^{2}[/tex]
So you can calculate the radius of the spheres:
r³ = 3V / 4pi = (300) / (12.5664) = 23.8732 cm³
r = 2.8794 cm
Now, you can use the radius to find the surface area of the spheres:
As = 4pi*r² = (12.5664)(2.8794)^2 = 104.19 cm²
So, The surface area of the Spheres is 104.19 cm².
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What is the missing factor in the equation? Assume x * 0 and y* 0.
(5x²)(7) = 3xV²
5y
10
O
O
3x
लौजे अने
5y
4x
O 2xy²
5
O 9x³y
25
Answers
Answer:
[tex]\sf b) \quad \dfrac{y^3}{4x}[/tex]
Explanation:
[tex]\sf \left(\dfrac{6x^2}{5y}\right) \left(?}\right) = \left(\dfrac{3xy^2}{10}\right)[/tex]
cross multiply variables
[tex]\sf ? = \left(\dfrac{3xy^2 (5y)}{10(6x^2)}\right)[/tex]
distribute inside parenthesis
[tex]\sf ? = \left(\dfrac{15xy^3}{60x^2}\right)[/tex]
remove parenthesis and simplify
[tex]\sf ? = \dfrac{y^3}{4x}[/tex]
2. One day at Coffee Town a customer asks for exactly 300 ml of coffee. To this 300 ml of
coffee,
the customer wants pure cream added until the cream represents 20% of the total volume of
the drink (cream and coffee. Not just 20% of the 300 ml). How much pure cream should the
barista add?
Answers
Answer:60 ml
Step-by-step explanation:20 % of 300 = 60 and snce the rest of the the l are coffee thats 20%
Factor problems 9 - 12 by using the difference of squares method.
9. x2 – 4
A. This polynomial cannot be factored by using the difference of squares method.
B. (x – 2)(x – 2)
C. (x – 2)(x – 1)
D. (x – 2)(x + 2)
E. (x – 1)(x – 4)
F. (x + 2)(x + 2)
10. x2 – 25
A. (-x – 5)(x - 5)
B. This polynomial cannot be factored by using the difference of squares method.
C. (-x + 5)(x + 5)
D. (x – 5)(x + 5)
E. (x + 5)(-x - 5)
F. (x – 5)(x - 5)
11. 36x4 – 4x2
A. (6x2 – 2x)(6x2 - 2x) = 4x2(3x - 1)(3x - 1)
B. (6x2 + 2x)(6x2 + 2x) = 2x2(3x + 1)(2x + 1)
C. This polynomial cannot be factored by using the difference of squares method.
D. (-6x2 – 2x)(-6x2 - 2x) = 4x2(-3x - 1)(-3x - 1)
E. (6x2 – 2x)(6x2 + 2x) = 4x2(3x - 1)(3x + 1)
F. (-6x2 + 2x)(6x2 - 2x) = 2x2(-3x + 1)(3x - 1)
12. x2 + 100
A. (x + 10)(x – 10)
B. (-x + 10)(x – 10)
C. (x + 10)(x + 10)
D. This polynomial cannot be factored by using the difference of squares method.
E. (x - 10)(x – 10)
F. (-x + 10)(-x – 10)
Answers
Answer:
Step-by-step explanation:
9. D
10.D
11.E
12.D
Answer:
9.
[tex]x^2-4\\(x-2)(x+2)[/tex]
10.
[tex]x^2-25\\(x-5)(x+5)[/tex]
11.
[tex]36x^4-4x^2\\4x^2(9x^2-1)\\4x^2(3x+1)(3x-1)[/tex]
12.
[tex]x^2+100\\[/tex]
This polynomial cannot be factored by using the difference of squares method
a man borrowed GHC 1200 at the bank for 4 months at the rate of 5%.Calculate a. his simple interest
Answers
there are 12 months in a year, so then 4 months is really 4/12 of a year.
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & 1200\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=\to \frac{4}{12}years\dotfill &\frac{1}{3} \end{cases} \\\\\\ I = (1200)(0.05)(\frac{1}{3})\implies I=20~GHC[/tex]
which table of ordered pairs represents a proportional relationship?
Answers
Answer:
B
Step-by-step explanation:
Every (x,y) pair is equal to each other, thus making them proportional :)
45.7 kilometers =
meters
Answers
Answer:
45.7 kilometers = 45,700 meters
Explanation:
Hi!
Okay, so basically, in one kilometer, there are 1000 meters.
Using this problem, all you have to do is multiply 45.7 by 1000, which is 45,700.
Whatever value is used for kilometers (ex. 2), just multiply by 1000, and you’ll get the value as meters (ex. 2 x 1000 = 2000 meters).
Hope this helps!
To convert kilometers to meters, multiply the kilometer value by 1000 meters which is equal to 1 km.
Convert 45.7 kilometers to meters:
Knowing that 1000 m = 1 km.[tex]\boldsymbol{\sf{Therefore \ \ \longmapsto \ \ 45.7\not{km}*\left(\dfrac{1000 \ m}{1\not{km}}\right)=45700 \ m }}[/tex]
45.7 km = 45,700 mヘ( ^o^)ノ＼(^_^ )If you want to learn more about mathematics, I share this link to complement your learning:
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A TV has a listed price of $540.99 before tax. If the sales tax rate is 9.75% , find the total cost of the TV with sales tax included. Round your answer to the nearest cent, as necessary.
Answers
Answer:
■ Sales tax: $52.75
■ Cost/Price before ST: $540.99
■ Total Cost/Price including ST: $593.74
Step-by-step explanation:
540.99 x 0.0975
= 52.75
Total
= 540.99+52.75
=593.74
what percent of 15.5 is 12.9? round to the nearest hundredth of 8%
Answers
Answer:
83.23%
Step-by-step explanation:
Proportioned Value = 12.9
Total Value = 15.5
Percentage = Proportioned Value / Total Value * 100%
= [tex]\frac{12.9}{15.5}*100[/tex]
= 83.23% (nearest hundredth)
The answer is 83.23%.
To find the percentage, take the ratio between 12.9 and 15.5, and multiply by 100%.
12.9/15.5 × 100%0.8323 × 100%83.23%A satellite orbits the Earth at a height of 343 kilometers. If the satellite makes 8 revolutions around the Earth, how many kilometers does it travel? (Earth's diameter is 6371 kilometers.) Use 3.14 as the approximate value of pi .
Answers
The number of kilometres travelled by the satellite in discuss in which case, the satellite makes 8 revolutions around the earth is; C = 177,271.8 km.
What is the distance in kilometres covered by the satellite after 8 revolutions?Given from the task content, the earth's diameter is; 6371 km and since, the height at which the satellite orbits the earth is; 343km, it follows that the diameter of orbit if the satellite in discuss is;
D = 6371 + (343)×2
Hence, we have; diameter, D = 7057 km.
Hence, the distance travelled after 8 revolutions is;
C = 8 × πd
C = 8 × 3.14 × 7057
C = 177,271.8 km.
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In a mathematics class, half of the students scored 87 on an achievement test.
With the exception of a few students who scored 52, the remaining students
scored 71. Which of the following
statements is true about the distribution of
scores?
Answers
Statistics exist in the analysis of collection, analysis, interpretation, and presentation of data or into discipline to collect and summarize the data.
Therefore, the correct answer is option A. The mean is less than the median.
What are statistics?Statistics exist in the analysis of collection, analysis, interpretation, and presentation of data or into discipline to collect and summarize the data.
Half the students scored 87.
The next highest score exists at 71.
Then the median will be (71+ 87) / 2 = 79
A few students scored 52, so the mean exists a little lower than the mean of 71 and 87.
Therefore, the correct answer is option A. The mean is less than the median.
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The complete question is:
In a mathematics class, half of the students scored 87 on an achievement test. With the exception of a few students who scored 52, the remaining students scored 71. Which of the following statements is true about the distribution of scores?
A. The mean is less than the median.
B. The mean and the median is the same.
C. The mean is greater than the mode.
D. The mean is greater than the median.
19. What is the probability that the student only plays football?
(a) 35 /66 (b) 20 /33 (c) 13 /33 (d) 5 /33
20. What is the probability that the student plays baseball, but not football?
(a) 3 22 (b) 7 22 (c) 411 (d) 8 33
Answers
Using the probability concept, we have that:
The probability that the student only plays football is: (c) 13 /33.The probability that the student plays baseball, but not football is: (d) 8/33.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
The total number of students is given by:
26 + 3 + 9 + 10 + 6 + 5 + 7 = 66
Of those, 26 play only football, hence the probability is:
p = 26/66 = 13/33
Which means that option c is correct for question 19.
Of those same 66 students, 9 + 7 = 16 play baseball but not football, hence the probability is:
p = 16/66 = 8/33
Which means that option d is correct for question 20.
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Is TriangleMNL ≅ TriangleQNL? Why or why not?
Yes, they are congruent by either ASA or AAS.
Yes, they are both right triangles.
No, AngleM is not congruent to AngleNLQ.
No, there are no congruent sides.
Answers
Triangle MNL and triangle QNL are congruent to each other based on by either ASA or AAS.
What are congruent triangles?A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, equilateral, scalene and right angle triangle. Two triangles are said to be congruent if they have the same shape and their corresponding sides are congruent to each other.
From triangle MNL and triangle QNL, in triangle MNL:
∠M + ∠N + ∠L = 180° (sum of angles in a triangle)
90 + 58 + ∠L = 180
∠L = 32°
Hence Triangle MNL and triangle QNL are congruent to each other based on by either ASA or AAS.
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Suppose X, Y and Z are uncorrelated random variables with means 1, 2 and 3 and standard deviations 2, 4 and 5 respectively. If U = Y – X and V = Z – Y. Compute the correlation coefficient between U and V and comment on your result.
Answers
The correlation coefficient between U and V is -0.5587 and it illustrates to at there's a negative relationship between U and V.
How to illustrate the information?The data shows that:
E(x) = 1
E(y) = 2
E(z) = 3
Var(X) = 2² = 4
Var(Y) = 4² = 16
Var(Z) = 5² = 25.
Cov(U, V) = 16
Var(U) = Var(Z - Y)
= 25 - 0 + 16
= 41
The correlation coefficient will be:
= -16/✓(20 × 41)
= -0.5587
The correlation coefficient between U and V is -0.5587 and it illustrates to at there's a negative relationship between U and V.
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Find the rational roots f(x) =3x3+ 2x2 + 3x + 6
Answers
The rational roots of f(x) = 3x^3 + 2x^2 + 3x + 6 are ±(1, 2, 3, 6, 1/3, 2/3)
How to determine the rational root of the function f(x)?The function is given as:
f(x) = 3x^3 + 2x^2 + 3x + 6
For a function P(x) such that
P(x) = ax^n +...... + b
The rational roots of the function p(x) are
Rational roots = ± Possible factors of b/Possible factors of a
In the function f(x), we have:
a = 3
b = 6
The factors of 3 and 6 are
a = 1 and 3
b = 1, 2, 3 and 6
So, we have:
Rational roots = ±(1, 2, 3, 6)/(1, 3)
Split the expression
Rational roots = ±(1, 2, 3, 6)/1 and ±(1, 2, 3, 6)/3
Evaluate the quotient
Rational roots = ±(1, 2, 3, 6, 1/3, 2/3, 1, 2)
Remove the repetition
Rational roots = ±(1, 2, 3, 6, 1/3, 2/3)
Hence, the rational roots of f(x) = 3x^3 + 2x^2 + 3x + 6 are ±(1, 2, 3, 6, 1/3, 2/3)
The complete parameters are:
The function is given as:
f(x) = 3x^3 + 2x^2 + 3x + 6
The rational roots of f(x) = 3x^3 + 2x^2 + 3x + 6 are ±(1, 2, 3, 6, 1/3, 2/3)
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Choose the equation that
matches the graph.
a. (1/2)x-4
b. y = 4x-1
C.
y = (1/1)
(¹²) ² − 4
-
d.
e.
x-4
y = (1/1)
y = 4x + 1
y = 4x+1
Answers
Answer: d
Step-by-step explanation:
The graph is increasing, so the base must be more than 1.
Eliminate a and c.Also, the y-intercept is 2.
Eliminate b and e.This leaves d.
What is the probability that the mean score for 10 randomly selected people who took the LSAT would be above 157? Round your answer to three decimal places. (Example: 0.398)
Answers
Using the normal distribution, there is a 0.007 = 0.7% probability that the mean score for 10 randomly selected people who took the LSAT would be above 157.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].Researching this problem on the internet, the parameters are given as follows:
[tex]\mu = 150, \sigma = 9, n = 10, s = \frac{9}{\sqrt{10}} = 2.85[/tex]
The probability is one subtracted by the p-value of Z when X = 157, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
Z = (157 - 150)/2.85
Z = 2.46
Z = 2.46 has a p-value of 0.993.
1 - 0.993 = 0.007.
0.007 = 0.7% probability that the mean score for 10 randomly selected people who took the LSAT would be above 157.
More can be learned about the normal distribution at https://brainly.com/question/15181104
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suppose you are given the following information and the coordinate plane below
Answers
Answer: 4.9
Step-by-step explanation:
[tex]AB=\sqrt{(-4-3)^2 +(6-4)^2}=\sqrt{53}\\\\A'B'=\frac{2}{3}\sqrt{53} \approx \boxed{4.9}[/tex]
The spread of a disease can be modeled as N = 250√ where N is
the number of infected people, and t is time (in days).
How long will it take until the number of infected people reaches
2,500?
Answers
The spread of the disease will take a time 100 days to reach 2,500 infected people.
How to find the number of infected people at a certain time
In this problem we have a radical equation that represents the number of infected people as a function of time, we are suppose to find the time when that number will be 2,500 by algebra properties: (N = 2,500)
2,500 = 250 · √t
√t = 2,500 / 250
√t = 10
t = 10²
t = 100
The spread of the disease will take a time 100 days to reach 2,500 infected people.
Remark
The statement is poorly formatted and presents typing mistakes, correct form is shown below:
The spread of a disease can be modeled as N(t) = 250 · √t, where N is the number of infected people, and t is time (in days). How long will it take until the number of infected people reaches 2,500?
To learn more on radical equations: https://brainly.com/question/11631690
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