The formula for the area of a rhombus is A= 1/2d1d2, where d1 and d2 are the length of the diagonals

The answer to the question is B. [tex]y=4x[/tex]

[tex]4(2)=8\\4(3)=12\\4(4)=16\\4(5)=20[/tex]

Answer:

The width of the confidence interval is going to be wider

Step-by-step explanation:

When we Increase the level of confidence without changing the sample size the width of the confidence interval is going to be affected in the following way;

The margin of error (M.E) is going to be larger or be increased. This increase is due to the fact that the critical value is going to increase. Then the increased margin of error would cause the width of the confidence interval to become wider.

This answers your question.

Answer:

The standard deviation for the number of defects per batch is 0.87.

Step-by-step explanation:

Let X denote the number of defective batteries per batch.

A company manufactures batteries in batches of n = 26.

It is provided that the rate of defects is, p = 0.03.

Each battery is defective independently of the others.

The random variable X follows a binomial distribution.

The standard deviation of a binomial distribution is:

[tex]\sigma=\sqrt{np(1-p)}[/tex]

Compute the standard deviation for the number of defects per batch as follows:

[tex]\sigma=\sqrt{np(1-p)}[/tex]

  [tex]=\sqrt{26\times 0.03\times (1-0.03)}\\\\=0.86982757\\\\\approx 0.87[/tex]

Thus, the standard deviation for the number of defects per batch is 0.87.

Answer: (compiled from google)

One radian is the measure of the central angle of a circle such that the length of the arc is equal to the radius of the circle.

A full revolution of a circle ( 360 ∘ ) equals  2 π   r a di a n s. This means that  1  radian = 180 ∘ π .  

The formula used to convert between radians and degrees is  angle in degrees = angle in radians ⋅ 180∘ π .

The radian measure of an angle is the ratio of the length of the arc to the radius of the circle  ( θ = sr ) . In other words, if  s  is the length of an arc of a circle, and  r  is the radius of the circle, then the central angle containing that arc measures radians.

Key Terms

arc: A continuous part of the circumference of a circle.

circumference: The length of a line that bounds a circle.

radian: The standard unit used to measure angles in mathematics. The measure of a central angle of a circle that intercepts an arc equal in length to the radius of that circle.

The  x – and  y -coordinates at a point on the unit circle given by an angle  

t  are defined by the functions  x = cos t  and  y = sin t .

Although the tangent function is not indicated by the unit circle, we can apply the formula  

tan  t = sin  t  cos  t  to find the tangent of any angle identified.

Using the unit circle, we are able to apply trigonometric functions to any angle, including those greater than  90 ∘ .

The unit circle demonstrates the periodicity of trigonometric functions by showing that they result in a repeated set of values at regular intervals.

Key Terms

periodicity: The quality of a function with a repeated set of values at regular intervals.

unit circle: A circle centered at the origin with radius 1.

quadrants: The four quarters of a coordinate plane, formed by the  x – and y -axes.

If this doesn't help I appologize

answer

7711.07

Step-by-step explanation:

The chef uses 7,711.03 grams each day at a restaurant.

The methodology to convert Pounds to Grams is relatively simple. To convert Pounds to Grams, you must multiply the unit by 453.59.

For example, if you have to convert 5 Pounds to Grams, you need to multiply 5 by 453.59.

A chef at a restaurant uses 17 pounds of butter each day.

We have to determine the number of grams the chef uses each day.

Since 1 pound (lb) is equal to 453.59 grams (g).

So 17 pounds = 453.59 × 17 = 7,711.03 grams

Thus, the chef uses 7,711.03 grams each day.

To learn more about the unit conversion click here:

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Answer:

30%

Step-by-step explanation:

Answer:

7.56

Step-by-step explanation:

Just multiply

20.16 times 0.375

7.56

Answer:

Hii

The answer is 7.56.

Step-by-step explanation:

you multiply the value outside of the bracket with the value inside of the bracket.

Answer:

5:9 If that's what you meant

Step-by-step explanation:

Answer:

5:9

Step-by-step explanation:

Ratio is as follows

n1 to n2 = n1:n2

Therefore,

5 footballs to 9 baseballs = 5:9

Hope this helps :)

Answer:

4 toothpicks

Step-by-step explanation:

14 / 3 = 4.66666

Tootpicks can't be rounded up so it'll just be 4

Answer: C?

Step-by-step explanation:

Because reflecting means like think of a mirror it’s reflecting you so the opposite side would be the bottom right quadrant please tell me if I’m right?

Answer:

I think it's 3

Step-by-step explanation:

If 2 is c than subtract  it and it's 3?

Answer:

300

Step-by-step explanation:

Answer:

17.28

Step-by-step explanation:

Multiply 72 by .24, .24 being 24% because it is 24 out of 100.

Answer:

x=50/3y

y=50/3x

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

So... for problem 15. im gonna help you and maybe you'll understand how to do it:) So the X axis is the horizontal line and the Y axis is the vertical line.

So when it says X -4

                          Y 5

Then the point would be at -4 on the horizontal line and 5 positive points on the Y axis (vertical line)

Step-by-step explanation:

I really hope this helps you its hard to describe over type:(

Good luck:))

Answer:B

Step-by-step explanation: 1/3*5=5/3*2/9=10/27

Answer:

10000010

Step-by-step explanation:

10^7 is 10000000 plus 9 plus 1^3 which is 1.

10000000+9+1=10000010

Answer:

10000010

Step-by-step explanation:

Lets break down this problem. 10^7 is equal to 10000000 because the exponent is 7 so we add 7 zeros at the end of 1. 1^3 is equal to 1 because any 1 to the power of a positive integer is 1. So, the equation becomes 10000000+9+1 which is equal to 10000010.  

Answer:

it would techically be a 50/50 chance of getting either an A or a 2

Answer:

33 1/3

Step-by-step explanation:

Answer:   I think its c sorry if im whrong

Answer:

Step-by-step explanation:

Step-by-step explanation:

Since, after making the diagram of this situation,

We get two triangles ABC and CED,

In which AB = 90 feet, BC = 36 feet and CE = 100 feet,

Now,

       ( Vertically opposite angles )

        ( Right angles )

By AA similarity postulate,

By the property of similar triangles,

Since, point D represents the lighthouse.

Hence, the distance from point E to the lighthouse = 250 feet

Answer:

Jacki did not subtract 12 from 8 correctly i believe

Answer:

(1)Hoops shadow would be 6 ft (2) model would be 3 cms

Step-by-step explanation:

9 / 3 = 3   3 x 2 = 6 ft

15 / 5 =3    3 x 1 = 3 cm

9514 1404 393

Answer:

  $28.40

Step-by-step explanation:

Using the given information, we can write three equations relating the three item prices. Let c, b, and j represent the cost of 1 item each of cake, bread, and juice.

  3c +4b = 18.60

  2c +2j = 12.34

  c = 2b

Multiplying the third equation by 2 gives an expression for 4b that we can substitute into the first equation.

  2c = 4b

  3c +2c = 18.60

  c = 18.60/5 = 3.72

Doubling the second equation almost gives us the purchase we want.

  2(2c +2j) = 2(12.34)

  4c +4j = 24.68

Adding one more cake to this give the desired purchase:

  (4c +4j) +c = 24.68 +3.72

  5c +4j = 28.40

The total cost of 5 pieces of cake and 4 glasses of juice is $28.40.

Answer:

Step-by-step explanation:

I dont know if you meant to punch in a c into the equation but if you didnt mean to i have both answers

Answer:

29,30,31

this is basically like counting just add 1

Answer:

-3

Step-by-step explanation:

7-1=6

6-8=-2

A line connects the points (8, 1) and (6, 7). The angle is -3.

Therefore,

Slope (m) = ΔY/ΔX

= 3/-1

= -3

The slope =  -3

θ = arctan(ΔY/ΔX) + 180°

=1 08.43494882292°

ΔX = 6 – 8 = -2

ΔY = 7 – 1 = 6

Distance (d) = √ΔX2 + ΔY2 = √40 = 6.3245553203368

Equation of the line:

y = -3x + 25

When x = 0, y = 25

When y = 0, x = 8.3333333333333

Hence,  A line connects the points (8, 1) and (6, 7). The angle is -3.

To learn more about slope, refer to:

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Answer: z=-w+4y

Step-by-step explanation:

W-4y+z=0

Calculate product

w-4y+z+0

Move variables to the right