What is the area of the trapezoid below?

Answer:

14.76 ft

Step-by-step explanation:

L²= 13² + 7²

L² = 169 + 49 = 218

L = √218 = 14.76 ft

Answer:

14.8

Step-by-step explanation:

We use the Pythagoras theorem because the string and the pole are making a right angle triangle

7^2+13^2=c^2

49+169=c^2

218=c^2

14.8=c

Answer:

The butcher made $101.50

Step-by-step explanation:

2 for 7.00

1 steak would be 7.00 divided by 2

7 divided by 2 is 3.5

1 steak is 3.50 dollars

29 steaks in total

29 multiplied by 3.50 is 101.5

Answer:

the cost each of one cherry pie and one lemon meringue pie is 9 and $12 respectively

Step-by-step explanation:

The computation of the cost of one cherry pie and the lemon meringue pie is shown below:

Let us assume the cherry pie be x

And, the lemon meringue pie be y

So according to the question

x + 5y = $69

5x + 7y = $129

Now multiply by 5 in the equation 1

5x + 25y = $345

5x + 7y = $129

18y = $216

y = $12

And, x would be

x + 5($12) = $69

x = $9

Hence, the cost each of one cherry pie and one lemon meringue pie is 9 and $12 respectively

Answer:

A

Step-by-step explanation:

A translation of 5 units up means adding 5 to the y- coordinate

Then

D (- 3, - 5 ) → D' (- 3, - 5 + 5 ) → D' (- 3, 0 ) → A

Complete question :

Suppose you know that the prices paid for cars are normally distributed with a MEAN or $17,000 and a STANDARD DEVIATION of $500. Use the EMPIRICAL RULE to find the percentage of buyers who paid between 15500 and 17000

Answer:

49.85%

Step-by-step explanation:

Mean = 17000

Standard deviation = 500

Obtain the Z score, which is the number of standard deviations from the mean :

((17000 - 17000) / 500) = 0

((15500 - 17000) / 500) = - 3

-3 to 3 = (3 standard deviations)

However,

The value here is (-3 to 0) ; which is only 3 standard deviations to the left.

3 standard deviation = 99.7% (empirical rule)

Since it is only (-3 to 0) ; which is only 3 standard deviations to the left. ; the percentage will be halved

99.7% / 2 = 49.85%

Hence, percentage of buyers who paid between 15500 and 17000 is 49.85%

Answer:

Each piece of cloth is (1/12) of a yard long.

Step-by-step explanation:

Carlus cut 5/12 of a yard of cloth into 5 pieces of equal length.

To find the length of each piece of cloth, we need to find the quotient between the length of the piece of cloth, and the number of pieces in which we divide it.

This is:

length = [tex]\frac{(5/12)yd}{5} = \frac{5yd}{12*5} = \frac{1yd}{12} \frac{5}{5} = \frac{1 }{12} yd[/tex]

This means that the length of each piece of cloth is (1/12) of a yard long.

Answer:

1/12 trust,

because yes. >3

2022 / 2023

Answer:

108 inches

Step-by-step explanation:

6X6X3

Answer:

27/28

Step-by-step explanation:

2/7 - x =5/4

-2/7      -2/7

    x=27/28

Answer:

24 will be your answer.

Step-by-step explanation:

Answer:

135

Step-by-step explanation:

So, our first term is 459.

Lets find what our change in terms is. To do this, lets subtract the frist term by the second:

459-450

This will get you 9.

Now that we know our change per term, lets find our 37th term.

All we need to do, is take our first term, and subtract it by our change in terms times the amount of terms.(Note that we already know are 1st term, so we are multiplying the change in terms by 36, not 37. )

So this is what we can use to solve for this:

459-(9x37)

This equals

135.

Hope this helps!

Step-by-step explanation:

first term = a = 459

common difference = d = 450 - 459 = -9

nth term = an

n = -9

an = a + (n-1)d

= 459 +(37-1)-9

= 459 + (36)-9

= 459 -324

= 135

37 th term = 135

plz mark my answer as brainlist if you find it useful for you. hope this will be helpful to you .

Answer:

a= 10 b= -13 c= -3

Step-by-step explanation:

First, you multiply 5x+1 and 2x-3

You then end up with 10x^2-13x-3 which is in ax^2+bx+c form

So, a would be 10, b would be -13, and c would be -3.

Answer:

a B and c because there the shape of the big triangles

Answer:

The answer is b

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

Answer:

y=4(x-3)

Step-by-step explanation:

if x=3, subtract 3 from each side to get x-3=0

point (4, 4). That is, when x=4, y=4.

Plug those in and solve for a.  

y=a(x-3)

4=a(4-3)

4=a(1)

4=a

 Thus,  

y=4(x-3)

Answer:

C.

y= −5/4x

Step-by-step explanation:

Write an equation of the direct variation that includes the given point. (-8, 10)

1

first divide y by x to find the constant

2

Then write the equation using that constant. The constant can be written as a fraction or a decimal.

RESULT

Answer:

B. Between x 2 and x 3

Step-by-step explanation:

Answer: I think the answer is B

Step-by-step explanation: My reasoning is that since some houses are expensive, and some houses are very cheap, the average house is in the middle, and that is the median.

Answer:

c bc he should use the median cause it is in the affect the mean

Step-by-step explanation:

Answer: -4096

Step-by-step explanation:

Answer:

y = 36

Step-by-step explanation:

Given y varies directly as z and inversely as x then the equation relating them is

y = [tex]\frac{kz}{x}[/tex] ← k is the constant of variation

To find k use the condition y = - 18, z = 3 when x = 6 , then

- 18 = [tex]\frac{3k}{6}[/tex] ( multiply both sides by 6 )

- 108 = 3k ( divide both sides by 3 )

- 36 = k

y = [tex]\frac{-36z}{x}[/tex] ← equation of variation

When x = 5 and z = - 5, then

y = [tex]\frac{-36(-5)}{5}[/tex] = [tex]\frac{180}{5}[/tex] = 36

Answer:

Hi! The answer to your question is H. [tex]4\sqrt{5}[/tex]

Step-by-step explanation:

[tex]Y1 = 6[/tex]

[tex]Y2 = -2[/tex]

[tex]X1 = 4[/tex]

[tex]X2 = 8[/tex]

[tex]AB = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

[tex]AB = \sqrt{(8-4)^2+(-2-6)^2}[/tex]

[tex]AB =\sqrt{(4)^2+(-8)^2}[/tex]

[tex]AB = \sqrt{16+64}[/tex]

[tex]AB = 4\sqrt{5}[/tex]

☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Check Attached Photos. Sorry, it didn't let me submit it through text because of "inappropriate language," despite me not having any in my answer.

For the plant which manufactures bars of steel, the conclusions are as follows;

A.  The scatter graph is shown.

B.  The equation is y = 2.204 + 1.007x

C.  Null hypotheses (H₀); β = 0

     Alternative hypotheses (Hₐ); β ≠ 0

D.  P-value (0.0001) is less than the significance level (α = 0.05).

In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

At a plant that manufactures bars of steel, a machine is used to cut the bars to specific lengths.

The machine has a dial that sets the length of the bars to be cut.

The dial is currently out of alignment and the plant manager is collecting data to assess the situation.

The following table shows 8 trials at different dial settings along with the actual output length of the bars that were cut.

All measurements are in millimeters.

Dail setting    Output length

     75                     78

     77                     79

     79                     82

     80                     83

     81                      85

     82                     83

     83                     86

     85                     88

A. The scatter plot is shown below.

Based on the scatter plot, a linear model seems appropriate to the model relationships between the dial setting of the machine and the output length of the steel bar.

The scatter plot shows the strong (r = 0.965), positive, linear association. There do not appear to be any outliners.

B.  From the data to construct a least-squares regression line to predict output length from dial setting. Then

y = (a + bx)

Let x be the dial setting machine and y be the output length of steel bars (in mm).

y = 2.204 + 1.007 x

C.  All conditions for inference are met. Indicate the hypotheses appropriate to test whether there is a linear relationship between output length and dial setting.

Let β be the true slope of the population regression line relating the dial setting of the machine (x) and the output length of the steel bars (y) at the manufacturing plant.

Null hypotheses (H₀) ; β = 0

Alternative hypotheses (Hₐ) ; β ≠ 0

Appropriate test = slope of regression line t-test.

D.  The test statistic for the appropriate test is t = 9.018 with 6 degrees of freedom (7 - 1)

The normal curve is shown;

Using calculator command t-CDF, with the alternative hypotheses as β≠0, then P-value = 0.0001.

In probability notation;

P(b≥0.017) = P(t≥9.018) = 0.00005

P-value = (2) × (0.00005) = 0.0001

P-value = 0.0001

Assume α = 0.05

Since our P-value (0.0001) is less than the significance level (α = 0.05), we do not convince statistical evidence that there is a linear relationship between output length and dial setting.

As the dial setting (x) increases, the output length of the steel bar (y) increases as well.

More about the null hypotheses and alternative hypotheses link is given below.

https://brainly.com/question/9504281

Answer:

-8

Step-by-step explanation:

-7+-3+4+1+-2+-8+7=-8divided by7=-1

Answer:

A

Step-by-step explanation:

To keep things short, use the distance formula to find the distance from each point from (0,0)

log3 ( x ) + log3 ( x - 2 ) = log3 ( x + 10 )

log3 ( x )( x - 2 ) = log3( x + 10 )

log3 ( x^2 - 2x ) = log3( x + 10 )

x^2 - 2x = x + 10

x^2 - 3x - 10 = 0

( x - 5 )( x + 2 ) = 0 ==》x = 5 Or x = - 2

Answer:

The width of the frame must be 12 inches (15in by 12in)

Step-by-step explanation:

Given

See attachment for painting and frame

Required

Determine the dimension of the frame

To do this, we make use of the following scale ratio.

[tex]Scale = Length : Width[/tex]

For the painting,

[tex]Scale = 20: 16[/tex]

For the frame,

[tex]Scale = 15: w[/tex]

Since she wants to maintain the same ratio; both scale must be the same.

i.e.

[tex]15 : w = 20 : 16[/tex]

Express as fraction

[tex]\frac{w}{15} = \frac{16}{20}[/tex]

[tex]\frac{w}{15} = 0.8[/tex]

Make w the subject

[tex]w = 15 * 0.8[/tex]

[tex]w = 12[/tex]

The width of the frame must be 12 inches i.e. 15in by 12in frame

Answer:

10

Step-by-step explanation:

If Jamie scored 3, and sarah scored twice that much, multiple 3 by two

3x2=6

Sarah also scored 4 more points then twice of his points.

6+4=10

Your answer is ten points

Answer:

Area of sector of circle = 7.6302 inches (Approx.)

Step-by-step explanation:

Given:

Angle of section = 35°

Radius of circle = 5 inch

Find:

Area of shaded section

Computation:

Area of shaded section  = Area of sector of circle

Area of sector of circle = [θ/360][πr²]

Area of sector of circle = [35/360][(22/7)(5)²]

Area of sector of circle = [0.0972][(3.14)(25)]

Area of sector of circle = [0.0972][78.5]

Area of sector of circle = 7.6302 inches (Approx.)