Each of ten tickets is marked with a different number from 1 to 10 and put in a box. if you draw a ticket from the box, what is the probability that you will draw a number greater than 3?

Answer:

Isosceles

Step-by-step explanation:

An Isosceles triangle has an acute angle (less than 45°), and this photo shows a triangle with two matching sides with one side being longer.

A right triangle would have a 90° angle which this photo doesn't have

An Equilateral triangle has all 60° sides, since it doesn't have all matching sides, it cannot be the answer.

A Scalene triangle is similar to this photo except it has 30° 60° and 90° angles, which this photo doesn't have.

I hope this helps!

The point of intersection of the two lines is at (1,-1)

The given system of expression is shown below

x - 2y = 3

5x + 3y = 2

The solution to the system of equation is the point of intersection

From equation 1

x = 3 + 2y

Substitute into 2

5(3+2y) + 3y = 2

15 +10y + 3y = 2

13y = -13

y = -1

Substitute y = -1 into 3

x = 3 + 2y

x = 3+(-2)

x = 1

Hence the point of intersection of the two lines is at (1,-1)

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Using proportions, the missing side length in the image below is of 20.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

In this problem, the side lengths are proportional, being related by the rule of three given as follows:

x/10 = 14/7

Applying cross multiplication:

7x = 14 x 10

7x = 140

x = 140/7

x = 20.

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Answer:

2:3

Step-by-step explanation:

ratio = 4:7

4 parts = 48

1 part = 12

Mary has 48

Anne has 84

Mary will have 56

56:84 = 2:3

Answer:

[tex]3.5 - 2 \times 100 \div 2[/tex]

Answer:

The percentage increase in the puppy's weight is 75%.

Step-by-step explanation:

We can find the percentage increase using the following formula:

[tex]\boxed{\% \space\ \mathrm {increase = \frac{final \space\ - \space\ initial}{initial} \times 100}}[/tex].

In this case,

• initial = 2 kg

• final = 3.5 kg

Substituting these values into the formula:

[tex]{\% \space\ \mathrm {increase = \frac{3.5 \space\ - \space\ 2}{2} \times 100}}[/tex]

                ⇒ [tex]\frac{1.5}{2} \times 100[/tex]

                ⇒ [tex]0.75 \times 100[/tex]

                ⇒ 75%

Answer:

Step-by-step explanation: The earth rotates 34 km every 32 seconds. We can simplify this by dividing both sides by 32. Now, we have 34/32 km every 32 seconds. Now, to further simplify this, we need to convert 34/32 to a mixed number 34/32 = 1 2/32 which then can be simplified to 1 1/16. So, near the equator, the speed of Earth's rotation is 1 1/16 km per second.

Answer:

25.12 rounded.

Step-by-step explanation:

C = 2[tex]\pi[/tex]r

C=[tex]\pi[/tex]d

C = [tex]\pi[/tex](8)

C = 25.12 rounded.

Answer:

25 and 1/7 mm

Step-by-step explanation:

Diameter = circunference / π

π = 3.1416    aprox.

Then:

8 = citcunference / 3.1416

8 * 3.1416 = circunference

25.1428 = circunference

1/7 = 0.1428

Then:

25.1428 = 25 + 1/7

= 25 1/7

The cost of each jersey is $8 dollar and that of shorts is $5

This are expression that contain unknown equation and two or more equation.

According to the question, a soccer team ordered 12 jerseys and 12 pairs of shorts, for a total of $156. Later, they had to order 4 more jerseys and 6 more pairs of shorts, for a total of $62.

The system of equation that represent the expression is given as;

12x + 12y = 156

4x + 6y = 62

____________
6x + 6y = 78

4x + 6y = 62

Subtract

6x-4x = 78 - 62

2x = 16

x = 8

since 4x + 6y = 62

2x+3y = 31

2(8) + 3y = 31

3y = 31-16

3y = 15

y = 5

Therefore the cost of each jersey is $8 dollar and that of shorts is $5

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Answer:

6 Meters

Step-by-step explanation:

If the car is driving at a constant velocity of 36 m/s and accelerates at -6.0 m/s ^2 to a stop, then the distance of the car decelerates to a stop in 6 seconds.

a=v/t ->>> 6= 36/t

The function increased at the highest rate in the interval [1/8, 1/2], as can be seen from the function value and its interval values.

A function's maxima and minima are its highest and lowest values, respectively, either on the entire domain or inside a certain range. They are referred to as the function's extrema collectively. The plural forms of maximum and minimum for a function are respectively known as maxima and minima.

The extreme values of a function—their maximum and minimum values—are referred to by the words maxima and minima. Maximum refers to the maximum value or amount that is feasible. A function's biggest value within its range is known as its absolute maximum.

f(x)=6log2x-3

For the interval x ∈[2, 6]

f(x) ∈ [-0.678, 3]

For the interval x ∈ [1/8, 1/2]

f(x) ∈ [ -9.96, -5.32]

For the interval x ∈ [1, 2]

f(x) ∈ [-3, -0.67]

For the interval x∈ [1/2, 1]

f(x) ∈ [-5.32, -3]

The function increased at the highest rate in the interval [1/8, 1/2], as can be seen from the function value and its interval values.

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The sinusoidal equation will be Y=4.25 sin[(π/26)(t-11)]+12.25

The following can be deduced:

Function Y=Asin(wt-Φ)+β

Amplitude A=(16.5-8)/2=4.25 hours

Vertical shift  β= (16.5+8)/2=12.25

Period is 52 weeks, thus 52=2π/ω→ω=2π/52=π/26

The phase shift Φ can be gotten if we divide the whole year in 4 sub-intervals each interval would be :

[0,13], [13,26],[26,39],[39,52]

The summer solstice occurs at the end of week 24.

The winter solstice occurs at the end of week 51.

The maximum of sine function happens at the end of the first sub-interval [0,13]

Here, Φ is 11, thus, the function would be

Y=4.25 sin[(π/26)(t-11)]+12.25.

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Answer:

∠JKL = 98

Step-by-step explanation:

the two small vertical lines on JK & KL means that

JK & KL are the same length which means that

same length means same degrees

∠KJL & ∠KLJ are the same degrees

∠KJL & ∠KLJ are both 41 degrees

triangles are 180

41 + 41 = 82

180 - 82 = 98

The general equation for a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex], where [tex](h,k)[/tex] is the centre of the circle and [tex]r[/tex] is the radius.

First, we can determine the centre of the circle.

( _ , _ )

The point directly on top is (4,7). Because it lies on the same vertical line as the centre, they have the same x-coordinate.

(4, _ )

The point directly to the right of it is (7,4). Because it lies on the same horizontal line as the centre, they have the same y-coordinate.

(4,4)

Therefore, the centre of the circle is (4,4). Plug this into the general equation:

[tex](x-h)^2+(y-k)^2=r^2\\(x-4)^2+(y-4)^2=r^2[/tex]

Now, we can determine the radius of the circle.

To do this, we can calculate the distance between the centre of the circle and one of the given points that lie on the circumference.

The centre is (4,4), and one of the points is (4,7). Because they only have a difference of 3 units in the y-direction (and none in the x-direction), this means that the radius is 3 units. Plug this into the general equation:

[tex](x-4)^2+(y-4)^2=r^2\\(x-4)^2+(y-4)^2=3^2\\(x-4)^2+(y-4)^2=9[/tex]

[tex](x-4)^2+(y-4)^2=9[/tex]

Answer:

Step-by-step explanation:

Hello!

apply distributive law

[tex]a(b - c) = ab - ac[/tex]

2(3-8y)=2.3-2.8y

=6-16y

Hope it helps!

The roots of the equation f(x) = x^2 - 93987 are x = √93987 and x = -√93987

Quadratic equations are equations that have a second degree and have the standard form of ax^2 + bx + c = 0, where a, b and c are constants and the variable a does not equal 0

The equation of the function is given as:

f(x) = x^2 - 93987

The above equation is a quadratic equation

Express the equation as a difference of two squares

f(x) = (x - √93987)(x + √93987)

Set the equation of the function to 0

(x - √93987)(x + √93987) = 0

Split the factors of the above function equation as follows

x - √93987 = 0 and x + √93987 = 0

Solve for x in the above equations

x = √93987 and x = -√93987

Hence, the roots of the equation f(x) = x^2 - 93987 are x = √93987 and x = -√93987

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Check the picture below.

Answer:

Below in bold.

Step-by-step explanation:

Minimum 24

Lower quartile 29

Median  43

Upper quartile = (49 + 51) / 2 =  50

Maximum = 56

Interquartile range =  50-29 = 21.

The graph which represents Charlies distance from her car at different times is indicated as attached. The schedule of her movement is also attached.  This type of graph is called Distance Time Graph.

A distance-time graph can show the distance traveled while an item moves in a straight line.

The gradient of the line in a distance-time graph is equal to the object's speed. The item is travelling more quickly the steeper the line and the larger the gradient.

See the attached for Charlies Distance - Time movements visualized in a graph.

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[tex] \sqrt{112x {}^{6}y {}^{3} {z}^{5} } \\ \sqrt{(2 {}^{4} \times 7 )x {}^{6}y {}^{2}yz {}^{4} z } \\ 2 {}^{2}x {}^{3} yz {}^{2} \sqrt{7yz} [/tex]

Answer:

  ∠1 = 36°

Step-by-step explanation:

All angles of a regular polygon are congruent, as are the sides. A regular decagon will have 10 congruent angles.

The sum of the measures of the exterior angles of a convex polygon is always 360°. This decagon has 10 congruent exterior angles, so the measure of each is given by ...

  10(∠1) = 360°

  ∠1 = 36° . . . . . . . . divide by 10

Answer:   36°

Step-by-step explanation:   Trust Me!

Answer is correct on Edge.  Good Luck! :)

In the regular decagon shown, what is the measure of angle 1?

360° is always the sum of all measures of all exterior angles of a convex polygon. A decagon have 10 sides.

Since ∠1 = 36°, then each other angle should measure the same, 36°.

In order to know whether the sum of all the angles equal 360°,
we need to multiply:  36° x 10.

36° x 10= 360°.

And sure enough the answer is correct.

The volume of a vase with a radius of 1 m and height of 7 m is 22000 L

An equation is an expression that shows the relationship between two or more variables and numbers.

Cylinder is solid geometrical figure with straight parallel sides and a circular or oval cross section

Let us assume that the vase has a base with radius of 1 m and height of 7 m, hence:

Volume of vase = π * radius² * height

Volume of vase = π * (1)² * 7 = 22 m³ = 22000 L

The volume of a vase with a radius of 1 m and height of 7 m is 22000 L

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f(x) = -1/ 3x and f(x) = -z/xy are both examples of inverse variations. Option B

Inverse variation can be defined as the relationships between variables represented in the form of y = k/x

where;

From the options given, we can see that;

f(x) = -1/ 3x

f(x) = -z/xy

Both take the form of inverse variations

Thus, f(x) = -1/ 3x and f(x) = -z/xy are both examples of inverse variations. Option B

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Daniel’s  answer was  wrong because he used  square root instead of the cubed root.

From the expression , which is [tex]t = 5.825 \sqrt[3]{3590/p}[/tex]

Then we can perform some operations to Solve for the value of  p.

Then we can make division on the  both sides of the equation  using 5.825 , then we have

2.304 = [tex]} (3590/p)^{\frac{1}{3}[/tex]

We can cube the both side of the equation to will eliminate the radical and  we will have

12.174 = 3590/p

then ,  p = 294.89  which implies that Natasha’s answer is correct.

Therefore , Daniel’s  answer was  wrong because he used  square root instead of the cubed root.

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The volume of the cylinder and the cone is equal

The formula for calculating the volume of a cylinder is expressed as:

V = πr²h

where

r is the radius

h is the height

For the cylinder

r = 8/2 = 4 in

h = 5

Substitute

V = π(4)²*5
V = 80π cubic inches

For the cone

r = 4 in

h = 15in

Substitute

V = 1/3πr^2h

V = 1/3(π)(4)^2 * 15

V = 80π cubic inches

Hence the volume of the cylinder and the cone is equal

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The speed of the wave is 0.83 m/s.

According to the statement

we have given that the equation and we have to find the speed of the wave.

So, For this purpose, we know that the

The given equation is y(x,t) = (9. 13 mm) sin [(6. 65 m^-1)x - (5. 52 s^-1)t]

Then we have to find the speed of the wave

So, Comparing y(x,t) = (9. 13 mm) sin[(6. 65 m-1)x - (5. 52 s-1)t]

to the general expression y(x,t)=y m sin(kx−ωt),

Because the general expression is y(x,t)=y m sin(kx−ωt)

we see that k= 6.65 m −1 and ω= 5.52 rad/s.

The speed of the wave is

v=ω/k=(5.52 rad/s)/(6.65 m )= 0.83 m/s

So, The speed of the wave is 0.83 m/s.

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The midpoint of the given line in coordinate form (x, y) is -0.5, 0)

The midpoint of a line is the middle of the given line. Given the coordinate points (x1, y1) and (x2, y2), the midpoint of the line is given as:

M(x, y) = {x1+x2/2, y1+y2/2}

Given the coordinate points on the line (-2, 1) and (1, -1)

Substitute the given coordinate points into the formula to have:

M(x, y) = {-2+ 1/2, 1-1/2}

M(x, y) = {-1/2, 0/2}
M(x, y) =(-0.5, 0)

Hence the midpoint of the given line in coordinate form (x, y) is (-0.5, 0)

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225/0.88*100%

255.68*100

25,568 pounds in pantry

The conversion of 9.204 to a mixed number will be 9 51/250.

It should be noted that converting decimal to mixed numbers simply means changing them to whole numbers and fractions.

Therefore, 9.204 will be:

= 9 204/1000

= 9 51/250

The percentage equivalent of 3 7/8 will be:

= (3 × 100) + (7/8 × 100)

= 300 + 87.5

= 387.5%

Dividing 72 in the ratio 2:3:4 will be:

= 2/9 × 72 = 16

= 3/9 × 72 = 24

= 4/9 × 72 = 32

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The events are not mutually exclusive because P(A or B) is not equal to P(A) + P(B)

The probability values are given as:

P(A) = 0.3

P(B) = 0.6

P(A or B) = 0.8

For mutually exclusive events, we have:

P(A or B) = P(A) + P(B)

Substitute the known values in the above equation

P(A or B) = 0.3 + 0.6

Evaluate the sum

P(A or B) = 0.9

From the given parameters, we have

P(A or B) = 0.8

Hence, the events are not mutually exclusive because P(A or B) is not equal to P(A) + P(B)

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Answer:

D

Step-by-step explanation:

edge 2023

The sum of P(A) and P(B) is not equal to P(A or B).

DPU is the number of defects in a sample divided by the number of opportunities while DPMO is the number of defects divided by the number of units tested within a sample. Option B

Defects per unit (DPU) can be defined as the number of defects divided by the number of opportunities

It is also seen as the universal measure of quality.

For example, if there are 100 defects in 1,000 units produced, then the defects per unit will be 0.01.

Defects per million opportunities can be defined as a mathematical calculation of the estimated quality of a process

From this information, we can conclude that DPU and DPMO are measure of defects in a sample.

Thus, DPU is the number of defects in a sample divided by the number of opportunities while DPMO is the number of defects divided by the number of units tested within a sample. Option B

Complete question is;

________ is the number of defects in a sample divided by the number of opportunities while ________ is the number of defects divided by the number of units tested within a sample.

a. DPMO, DPU

b. DPU, DPMO

c. RTY, FTY

d. FTY, RTY

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