Step-by-step explanation:
there are 4 suit with 13 cards each
What is 63% of 35. Please tell me how to do it not just answer please!
Answer:
22.05
Step-by-step explanation:
First, convert 63% into a decimal.
To do this, divide it by 100.
[tex] \frac{63}{100} = 0.63[/tex]
Multiply 0.63 by 35.
[tex]35 \times (0.63) = 22.05[/tex]
Answer:
Step-by-step explanation:
.63(35)= 22.05
Multiply .63(35)
A plank of wood is 4.6 meters long.
These two lengths of wood are cut from the plank - 88cm and 1630mm
What is the length of the wood left
Step-by-step explanation:
1 meter = 100 centimeter = 1000 millimeter
therefore, 1 cm = 10 mm
4.6 m = 4.6 × 1000 = 4600 mm
88 cm = 880 mm
and so, they cut off
880 mm + 1630 mm = 2510 mm
that means
4600 - 2510 = 2090 mm = 2.09 m
are left.
18 1 / 2 miles of highway 1-35 Is undergoing repairs. The construction workers repairs The construction workers repair 2 1⁄4 Miles of hideaway each week Approximately How many weeks will it take for the repairs to be completed
Answer:
The exact amount of time would be 8 2/9 weeks, but if we are only counting full weeks, it would be finished in 9 weeks.
Step-by-step explanation:
y = xm
18 1/2 = 2 1/4x Change both numbers into improper fractions
18 1/2 would be 37/2 The denominator (bottom number) stays 2. To get the top number you would (2 x 18) + 1 or 37. That makes 37/2 equivalent to 18 1/2.
Now do the same thing to 2 1/4. The bottom number stays the same. We get the top number (4 x 2) + 1 or 9. That makes 9/4 equivalent to 2 1/4.
We know have
37/2 = 9/4 x We can solve for x by multiplying both sides of the equation by 4/9
37/2(4/9) = (9/4)(4/9)x
148/18 = x If we divide both the top and the bottom by 2 we would get 74/9 = x If we divide 74 by 9 we get 8 2/9
Construc t a 95% confidence interval for the population standard deviation σ of a random sample of 15 men who have a mean weight of 165.2 pounds with a standard deviation of 13.5 pounds. assume the population is normally distributed
The 95% confidence interval for the population standard deviation will be,
[tex]$\sqrt{\frac{(n-1) s^{2}}{\chi^{2}} \frac{\alpha}{2}} & < \sigma < \sqrt{\frac{(n-1) s^{2}}{\chi^{2}}} \\[/tex]
simplifying the equation, we get
[tex]$\sqrt{\frac{2551.5}{26.1}} & < \sigma < \sqrt{\frac{2551.5}{5.63}} \\9.887 & < \sigma < 21.288[/tex]
The 95% confidence interval exists (9.887, 21.288).
What is the 95% of confidence interval?
A random sample of 15 men exists selected. The mean weight exists at $165.2 pounds and the standard deviation exists at $13.5 pounds. The population exists normally distributed.
So, [tex]$n=15, \bar{X}=165.2, s=13.5$[/tex]
where n exists the sample size, [tex]$\bar{X}$[/tex] exists the sample size
s exists the sample standard deviation.
The degrees of freedom will be n - 1 i.e.15 - 1 = 14.
For a 95% confidence interval, the level of significance will be [tex]$\alpha=0.05$[/tex].
The 95% confidence interval for the population standard deviation will be,
[tex]$\sqrt{\frac{(n-1) s^{2}}{\chi^{2}} \frac{\alpha}{2}} & < \sigma < \sqrt{\frac{(n-1) s^{2}}{\chi^{2}}} \\[/tex]
substitute the values in the above equation, we get
[tex]$\sqrt{\frac{(15-1)(13.5)^{2}}{\chi^{2}} 0.05} & < \sigma < \sqrt{\frac{(15-1)(13.5)^{2}}{\chi_{0}^{2}}} \\[/tex]
[tex]$\sqrt{\frac{(15-1)(13.5)^{2}}{\chi_{0.975}^{2}}} & < \sigma < \sqrt{\frac{(15-1)(13.5)^{2}}{\chi_{0.025}^{2}}} \\[/tex]
simplifying the above equation, we get
[tex]$\sqrt{\frac{2551.5}{26.1}} & < \sigma < \sqrt{\frac{2551.5}{5.63}} \\9.887 & < \sigma < 21.288[/tex]
The 95% confidence interval exists (9.887, 21.288).
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Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
[tex]y = 2x {}^{2} - 4x - 16 \\ \delta = b {}^{2} - 4ac \\ \delta = ( - 4) {}^{2} - 4(2)( - 16) \\ \delta = 16 + 128 \\ \delta = 144 > 0 [/tex]
[tex]x = \frac{ - b + \sqrt{ \delta} }{2a} = \frac{4 + 12}{2 \times 2} = \frac{16}{4} = 4[/tex]
[tex]x = \frac{ - b - \sqrt{ \delta} }{2a} = \frac{4 - 12}{2 \times 2} \frac{ - 8}{4} = - 2[/tex]
[tex]x = 4 \: \: \: \: \: or \: \: \: \: x = - 2 \\ (x - 4) = 0 \: \: \: \: \: or \: \: \: \: \: (x + 2) = 0[/tex]
[tex]f(x) = \alpha (x - 4)(x + 2) \\ f(x) = \alpha x { }^{2} + 2 \alpha x - 4 \alpha x - 8 \alpha \\ f(x) = \alpha x {}^{2} - 2 \alpha x - 8 \alpha \\ by \: comparison \\ \alpha = 2[/tex]Factors are:1) 22) x - 43) x + 2PLEASE HELP IM STUCK PLS
Answer: (-1, 1)
Step-by-step explanation:
Method 1: GraphingSince the graph is already given, we could directly refer to the intersecting point of the system of equations.
According to the graph, [ y = 2x + 3 ] and [ y = -x ] intersect at (-1, 1).
Therefore the solution is [tex]\Large\boxed{(-1,1)}[/tex]
Method 2: SubstitutionGiven equation
1) y = 2x + 3
2) y = -x
Substitute the y value in the 1) equation by the 2)
(-x) = 2x + 3
Add x on both sides
-x + x = 2x + 3 + x
0 = 3x + 3
Subtract 3 on both sides
0 - 3 = 3x + 3 - 3
-3 = 3x
Divide 3 on both sides
-3 / 3 = 3x / 3
x = -1
Substitute the x value into one of the equations to find the y value
y = -x
y = - (-1)
y = 1
Therefore, the solution is [tex]\Large\boxed{(-1,1)}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
If takes 3/4 hour to paint 12by 12 room how long does it take to paint 15by 16 room
5. Elias has 1/2 of a candy bar. He shares 1/4 of it with his best friend. How much of the candy bar did his best friend receive?
Answer:
1/8
Step-by-step explanation:
say the bar has 20 pieces. he has 10 pieces. and he gave away 1/4 of those 10
1/4 x 10 = 2.5
20 / 2.5 = 8
So his friend recieved 1/8
you could also just do 1/2 x 1/4 which is 1/8
Answer:
1/8 of the candy bar.
Step-by-step explanation:
Elias has 1/2 of a candy bar.
He gave 1/4 of 1/2 to his friend.
[tex]\sf Friend's s\ share = \dfrac{1}{4} \ of \ \dfrac{1}{2}[/tex]
[tex]\sf =\dfrac{1}{4}*\dfrac{1}{2}\\\\=\dfrac{1}{8}[/tex]
Find the value of z.
Applying the angle of intersecting chords theorem, the value of z is: D. 100.
What is the Angle of Intersecting Chords Theorem?According to the angle of intersecting chords theorem, in a circle like the one shown in the image above, where two chords intersect to form vertical angles, the theorem states that the angle formed equals half of the sum of the measures of the arcs intercepted by the angles.
Applying the angle of intersecting chords theorem, let's find x first:
73 = 1/2(96 + x)
Multiply both sides by 2
2 × (73) = 1/2(96 + x) × 2
146 = 96 + x
Subtract both sides by 96
146 - 96 = 96 + x - 96
50 = x
x = 50°
Therefore:
x + z + 96 + 114 = 360° [full circle measure]
Plug in the value of x
50 + z + 96 + 114 = 360
z + 260 = 360
Subtract both sides by 260
z + 260 - 260 = 360 - 260
z = 100°
The answer is: D. 100°.
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A blueprint is 1 in: 12ft. Then width of a building is 48ft. What is the width of the building on the blueprint?
The width on the blueprint is 4 inches.
What is the width of the building on the blueprint?
The blueprint is a scale drawing of the building. A scale drawing is a reduced form in terms of dimensions of an original image / building / object
The scale of a drawing is usually written in this format - length in the drawing, a colon (:), then the matching length on the original image. An example of a scale is 1 inch 12 feet. This scale means that 1 inch of the blueprint represents 12 feet of the building.
Width of the building on the blueprint = 48 / 12 = 4 inches
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When the sample evidence is sufficient to justify rejecting the null hypothesis in a goodness-of-fit test, can you tell exactly how the distribution of observed values over the specified categories differs from the expected distribution? explain your answer.
No, we can only suppose that the observed distribution deviates from the expected distribution when we reject the null hypothesis.
What is a null hypothesis?The null hypothesis exists as a specific mathematical theory that claims that there exists no statistical relationship and significance between two sets of observed data and estimated phenomena for each set of selected, single observable variables. The null hypothesis can be estimated to define whether or not there exists a relationship between two measured phenomena, which creates it useful. It can let the user comprehend if the outcomes exist as the product of random events or intentional manipulation of a phenomenon.
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Functions f(x) and g(x) are composed to form h (x) = startroot x cubed minus 2 endroot. if f (x) = startroot x 2 endroot and g (x) = x cubed a, what is the value of a?
Function Composition exists when two functions f(x) and g(x) result in another function h(x), such that h(x) = f(g(x)). For function composition h(x) = f(g(x)), the value of a exist -4.
What is function Composition?
Function Composition exists when two functions f(x) and g(x) result in another function h(x), such that h(x) = f(g(x)). In other words, put the outcome of one function into the other one.
Here, h(x) = f(g(x))
which means, h(x) = f(x³+ a)
[tex]$h(x) = \sqrt{x^3+a+2}[/tex]
[tex]$\sqrt{x^3-2} = \sqrt{x^3+a+2}[/tex]
To estimate the value of a, we separate equal terms:
1) Both are squared, so we can "eliminate" the square;
2) x³ = x³
3) -2 = a+2
a = -4
For function composition h(x) = f(g(x)), the value of a exist -4.
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ms bloom had 4 /7/12 boxes of pencils but 2/1/12 boxes of pencils were broken after she threw out the broken pencils how many boxes of pencils were left
Concluding, there are (2 + 12) boxes of pencils left.
How many boxes of pencils were left?We know that Ms. Bloom had (4 + 7/12) boxes of pencils, and we also know that (2 + 1/12) of the boxes were broken.
The number of boxes of pencils left is given by the difference between the two above numbers, then we get:
N = (4 + 7/12) - (2 + 1/12) = (4 - 2) + (7/12 - 1/12) = 2 + 6/12
Now we can simplify the fraction:
N = 2 + 1/2
Concluding, there are (2 + 12) boxes of pencils left.
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Which property is shown in the following statement?
(46 + 17) + 3 = 46 + (17 + 3)
associative property of addition
commutative property of addition
identity property of addition
Answer:
Associative property of addition.
Step-by-step explanation:
The location of the parentheses makes no difference to the sum of these numbers.
The property shown in the statement "(46 + 17) + 3 = 46 + (17 + 3)" is the associative property of addition.
The associative property of addition states that when adding three or more numbers, the grouping of the numbers does not affect the sum
In the given statement, we have three numbers being added: 46, 17, and 3. The statement shows that the addition is grouped differently on each side of the equation, but the result is the same.
On the left side, we have (46 + 17) + 3.
This means we first add 46 and 17, which equals 63. Then we add 3 to the sum, resulting in 66.
On the right side, we have 46 + (17 + 3). Here, we first add 17 and 3, which equals 20. Then we add 46 to the sum, also resulting in 66.
As we can see, no matter how we group the numbers being added, the final sum is the same. This demonstrates the associative property of addition.
Therefore, the property shown in the given statement is the associative property of addition.
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How fast must a 56. 5 g tennis ball travel to have a de broglie wavelength equal to that of a photon of green light (5400 angstroms)? (use scientific notation in your answer: 1. 0e39)
Answer:
Given:
Mass of the tennis ball=56.5 g
wavelength=5400 Angstroms
De-Broglie Wavelength = 5400 Angstrom.
= 5400 × 10⁻¹⁰ m.
Now, Using the Formula,
λ = h/mv
here,
h is the Planck's constant = 6.62 × 10⁻³⁴ J-s.
and v is the velocity of the tennis balls.
∴ 5400 × 10⁻¹⁰ = (6.62 × 10⁻³⁴)/ (0.054 × v)
⇒ 0.054v = (6.62 × 10⁻³⁴)/ (5400 × 10⁻¹⁰)
⇒ 0.054v = 0.0012 × 10⁻²⁴
⇒ v = 0.0012 × 10⁻²⁴/0.054
⇒ v = 0.023 × 10⁻²⁴ m/s.
Hence, the velocity of the tennis balls is 0.023 × 10⁻²⁴ m/s.
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How would you solve this? Please give an explanation.
The first three elements of the recursive series are 6, 10, 8. (Correct choice: B)
How to generate values from a recursive function
In this question we have a kind of recursive function known as Fibonacci's function, where a value of the series is generated from at least immediately previous elements. In this case, we need to find the first three elements from the fifth and fourth elements of the series:
[tex]a_{n-2} = a_{n-1} - a_{n} + 4[/tex]
a₄ = a₅ - a₆ + 4
a₄ = - 2 - 0 + 4
a₄ = 2
a₃ = a₄ - a₅ + 4
a₃ = 2 - (- 2) + 4
a₃ = 8
a₂ = a₃ - a₄ + 4
a₂ = 8 - 2 + 4
a₂ = 10
a₁ = a₂ - a₃ + 4
a₁ = 10 - 8 + 4
a₁ = 6
The first three elements of the recursive series are 6, 10, 8. (Correct choice: B)
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Select the correct answer from each drop-down menu. B For circle O, m In the figure, 2 C CD T - 125° and m2ABC= 55°. and 2 have measures equal to 35°.
Answer:
Step-by-step explanation:
The relevant relations here are ...
the sum of arc measures in a semicircle is 180°the sum of angles in a triangle is 180°Arc measuresThe given arc CD is part of the semicircular arc CDA. The remaining arc, DA, is the supplement of CD:
arc DA = 180° -CD = 180° -125° = 55°
Central angle AOD has the same measure, 55°. That is one of the acute angles in right triangle AOB, so the other one is the complement of 55°.
∠ABO = 90° -∠AOB = 90° -55°
∠ABO = 35°
Triangle anglesIn right triangle ABC, angle ABC is given as 55°. The other acute angle, ACB, will be the complement of this.
∠ACB = 90° -∠ABC = 90° -55°
∠ACB = 35°
In the figure, angles ABO and ACB have measures of 35°.
help ASAP!!!!!!!!!!!!!!!
Answer: 4.0 * 10^0 kg = 4.0 kg essentially
Step-by-step explanation:
No need to convert these to numbers...
Weight of 1 bee: 1 * 10^-4 = (0.0001 kg)
Number of bees: 4 * 10^4 = (40000 bees)
(1 * 10^-4) * (4 * 10^4) =
(1 * 4) * (10^-4 * 10^4) =
(10^0 because when multiply exponential numbers, you add the exponents)
4 * 10^0 =
4 * 1 = 4 kg
In a set of 10 observations the mean is 20 and the median is 15. There are 2 values that are 6, and all other values are different. What is the mode?
The mode of the set of 10 observations is 2.
What is the mode?
Mode refers to a value that appears most frequently in a data set. Mode is a measure of central tendency of a data set. Other measures of central tendency are mean and median.
According to the information in the question, 6 appears twice in the data set and all other values are different. Thus, 6 has the frequency of 2 which is the highest. 6 is the mode.
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HELPPPP‼️‼️‼️
If x is the first of two consecutive odd integers, and the sum of the two integers is 72, what is the smaller of the two integers?
Answer:
x = 35.
Step-by-step explanation:
since they are odd, the second number isn't x + 1, it is x + 2.
x + x + 2 = 72
2x + 2 = 72
2x = 70
x = 35
A sequence of numbers begins with 12 and progresses geometrically. each number is the previous number divided by 2. which value can be used as the common ratio in an explicit formula that represents the sequence?
1/2 value can be used as the common ratio in an explicit formula that represents the sequence.
Definition of sequence -
The following of one thing after another; succession. order of succession: a list of books in alphabetical sequence. A continuous or connected series: a sonnet sequence. something that follows; a subsequent event; result; consequence.A sequence that progresses geometrically has the first term as 12.
Each number is the previous number divided by 2.
so the sequence will be 12, 6, 3, 1.5...........
Explicit formula of a geometric sequence is given by
[tex]T_{n} = ar^{n-1}[/tex]
Where [tex]T_{n}[/tex] = nth term of the sequence
a = first term
r = common ratio
and n = number of term
In this sequence common ratio = [tex]\frac{Successive term }{previous term}[/tex]
= 6/12
= 1/2
Therefore, common ratio will be 1/2.
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If 12 oz. of sausage contains 300 calories, how many calories w ould 7 oz, contain? how would i write a formula
Answer:
175 cal
Step-by-step explanation:
if 12oz = 300 cal
then, 7 oz = ?
cross multiplication
12×?= 7×300
? = 2100/12
? = 175 cal
NB: you can replace the question mark with any variable.
The prices for different lengths of ribbon sold at a fabric store are shown in the table. Which statement best justifies whether or not the relationship between the length and price represents a function?
The statement that justifies the relationship is: D. it represents a function because no length has more than one price.
What is a Function?For a relation to be considered a function, any of the following criteria must be met:
Every x-value has exactly one corresponding y-value that relates to it. That is, no x-value (input) can have two different y-value (output).Two different x-values (inputs) can correspond to the same y-value (output) but two different y-values (outputs) must not relate or correspond to an x-value (input).In the scenario given:
Length of ribbon = input (x-value)
Price of ribbon = output (y-value).
We can observe that each length of ribbon (input) has its own price (output), therefore, we can conclude that the price of ribbon is a function of the length of the ribbon.
The answer is: D. This relationship represents a function because no length has more than one price.
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What is the slope of the line that passes through the points (2, -4) and
(5,2)? Write your answer in simplest form.
Answer:
2
Step-by-step explanation:
Your slope is your change in y over your change in x. The ordered pair is in the form of (x,y), so you subtract the y's and put that in your numerator (top)and subtract your x's and put that in your denominators (bottom).
2 - (-4) would be your top number. To subtract a negative number is the same as adding a positive, so 2 - (-4) is the same as 2 +4, so your top number is 6.
Now, to find the bottom number, you subtract the x's.
5-2 which is 3.
We now have the top and the bottom number
6/3 which is the same as 2.
Practice another write the function in terms of unit step functions. find the laplace transform of the given function. f(t) = t, 0 ≤ t < 4 0, t ≥ 4
Using the Laplace transform to solve the given integral equation f(t) = t, 0 ≤ t < 4 0, t ≥ 4 is [tex]\frac{4(1-2e^-5s)/}{s}[/tex]
explanation is given in the image below:
Laplace remodel is an crucial remodel approach that's particularly beneficial in fixing linear regular equations. It unearths very wide programs in var- areas of physics, electrical engineering, manipulate, optics, mathematics and sign processing.
The Laplace transform technique, the function inside the time domain is transformed to a Laplace feature within the frequency area. This Laplace function could be inside the shape of an algebraic equation and it may be solved without difficulty.
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If f(x)=x²-3x - 4 and g(x) = x² + x, what is (f + g)(x)?
Answer: (f+g)(x)=2(x-2)(x+1).
Step-by-step explanation:
[tex]f(x)=x^2-3x-4\ \ \ \ \ g(x)=x^2+x\\(f+g)(x)=(x^2-3x-4)+(x^2+x)\\(f+g)(x)=x^2-3x-4+x^2+x\\(f+g)(x)=2x^2-2x-4\\(f+g)(x)=2*(x^2-x-2)\\(f+g)(x)=2*(x^2-2x+x-2)\\(f+g)(x)=2*(x*(x-2)+(x-2))\\(f+g)(x)=2*(x-2)*(x+1).[/tex]
Find an equation of the line perpendicular to y = − 7 8 x + 2 and containing the point (14, − 3)
Answer:
[tex]y=\frac{-x}{78} -\frac{220}{78}[/tex]
Step-by-step explanation:
Remember to create a line perpendicular to one another the slope has to be the reverse reciprocal of the first line.
Given the current slope is [tex]\frac{-78}{1}[/tex] the new slope would be [tex]\frac{1}{78}[/tex].
To find the line that passes through a point with a given slope we must use point slope form, remember the default equation of point slope form:
[tex]y-y1=m(x-x1)[/tex]
Where y1 is the y value of the point, m is the slope, and x1 is the x value of the point.
Lets substitute in our values
[tex]y-(-3)=\frac{-1}{78} (x-14)[/tex]
Simplify the equation
[tex]y+3=-\frac{1}{78}\left(x-14\right)\\y+3=\frac{-x}{78}+\frac{14}{78}\\y=\frac{-x}{78}-\frac{220}{78}\\[/tex]
In 4 weeks, Mark earns an average of $400 per
week. If, after working another 2 weeks at a
constalat salary, his average carnings per week
are $500, how much did he earn in the last 3
weeks?
WS=
Help me please thanks so much :) I appreciate it
Answer:
Step-by-step explanation:
3 units
Answer:
3 units.
Step-by-step explanation:
Opposite sides of a parallelogram are equal in length,
So side OD = side WS.
We see from the diagram that OD is 3 units long so
WS = 3 also.
h(x)=
8
1
x
3
−x
2
h, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, 8, end fraction, x, cubed, minus, x, squared
What is the average rate of change of hhh over the interval -2\leq x\leq 2−2≤x≤2minus, 2, is less than or equal to, x, is less than or equal to, 2?h(x)=
8
1
x
3
−x
2
h, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, 8, end fraction, x, cubed, minus, x, squared
What is the average rate of change of hhh over the interval -2\leq x\leq 2−2≤x≤2minus, 2, is less than or equal to, x, is less than or equal to, 2?
The average rate of change of the function over −2 ≤ x ≤ 2 is 1/2
How to determine the average rate of change?The function is given as:
[tex]h(x) = \frac 18x^3 - x^2[/tex]
The interval is given as:
−2 ≤ x ≤ 2
Calculate h(2) and h(-2)
[tex]h(2) = \frac 18 * 2^3 - (2)^2[/tex]
h(2) = -3
[tex]h(-2) = \frac 18 * (-2)^3 - (-2)^2[/tex]
h(-2) = -5
The average rate of change is then calculated as:
[tex]m = \frac{h(-2) - h(2)}{-2-2}[/tex]
This gives
[tex]m = \frac{-5 + 3}{-4}[/tex]
Evaluate
m = 1/2
Hence, the average rate of change of the function over −2 ≤ x ≤ 2 is 1/2
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Complete question
[tex]h(x) = \frac 18x^3 - x^2[/tex]
What is the average rate of change of h over the interval −2 ≤ x ≤ 2