During trimester 2 the math team gave 4 product assignments. The 4 scores were a 50, 90, 62, and 63.
What was the median score of the product assignments?
What was the average score of the product assignments?

Answer:

The length that separates the bottom 5% is of 4.87 centimeters.

The length that separates the top 5% is of 5.03 centimeters.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 4.95 centimeters and a standard deviation of 0.05 centimeters.

This means that [tex]\mu = 4.95, \sigma = 0.05[/tex]

Bottom 5%:

The 5th percentile, which is X when Z has a pvalue of 0.05. So X when Z = -1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.645 = \frac{X - 4.95}{0.05}[/tex]

[tex]X - 4.95 = -1.645*0.05[/tex]

[tex]X = 4.87[/tex]

The length that separates the bottom 5% is of 4.87 centimeters.

Top 5%:

The 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.645 = \frac{X - 4.95}{0.05}[/tex]

[tex]X - 4.95 = 1.645*0.05[/tex]

[tex]X = 5.03[/tex]

The length that separates the top 5% is of 5.03 centimeters.

Answer:

[tex]A=745.06[/tex]

[tex]C=96.76[/tex]

Answer:

2y + 367

Step-by-step explanation:

8(2y - 1) - 14y + 375

16y - 8 - 14y + 375

2y + 367

Answer:

8 Dozen eggs would mean, 8 X 12 = 96 eggs

Step-by-step explanation:

Answer:

[tex]\frac{2}{3}[/tex]

or

0.67

Step-by-step explanation:

a dozen is 12

12/4 = 3

8/4 = 2

8 is 2/3 of a dozen(12)

2/ 3 = 0.66666666666667 which is about 0.67

Answer:

Decreases, decreases, increases

Just took the test

Step-by-step explanation:

The linear relationship is proportional

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

Unit rate = Cost of banana/Number of banans

substitute the known values in the above equation, so, we have the following representation

Unit rate = 9/1

Evaluate

Unit rate = 9 cent per banana

This means that the linear relationship is proportional

Read more about proportional relationship at

https://brainly.com/question/28651666

#SPJ1

Answer:

33-21=9

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Probability of getting an odd number on a die = 3/6 = 1/2

Probability of getting tails on a coin = 1/2

Now you multiply both probabilities since the question says "and". If it says "or", then you add the probabilities.

1/2 × 1/2 = 1/4

Answer:

4 2 5 6

Ones : 6

Tens : 5

Hundreds : 2

Thousands : 4

Step-by-step explanation:

hope I'm right

Answer:

C

Step-by-step explanation:

What you do on one side of the equation, you do to the other. She added 10x on the right side and subtracted 10x on the left when she should have added 10x on both sides.

Answer:

15 using the Pythagorean theorem.

hope it helps, plz mark me as brainliest.

Answer:

15 units is the answer.

Step-by-step explanation:

points are (-3,-4) and (6,8)

Pythagorean theorem can be written as,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(6-(-3))^2 + (8-(-4))^2}\\\\d=\sqrt{(9)^2+(12)^2} \\\\d=\sqrt{81+144} \\\\d=\sqrt{225} \\\\d=15[/tex]

∴ d = 15 units is the distance between the points.

Answer:

Black Fur: 100%    White Fur: 0%

Step-by-step explanation:

    B     B

b  Bb  Bb              (all dominant)

b  Bb  Bb

Black Fur: 100%  White Fur: 0%

Answer:

B B

______

b | Bb | Bb |

b | Bb | Bb |

_____

Phenotype Probability (%):

Black Fur: 100%

White Fur: 0%

_____________________

Answer:

C. =

Step-by-step explanation:

Two ways to think about this problem:

1st way: 100% and 1 are all a whole, therefore, they are equal.

2nd way: 1=1/1. Multiply the denominator and the numerator by 100, 1/1=100/100=100%

Answer:

Step-by-step explanation:

Answer:

do you want to me to find it for all or just 1

Answer:

88 [tex]m^{2}[/tex]

Step-by-step explanation:

The surface are is the total area of all the faces

Opposite faces have the same area

Label each side either l, h or w

SA of a cuboid = 2lw + 2lh + 2hw

(2 x 4 x 6) + (2 x 4 x 2) + (2 x 6 x 2) = 8

Answer:

a. IH and JK

b. IK and HJ

c. HK

Step-by-step explanation:

IH and JK are the minor arcs because the other arcs (IJ and HK) are major arcs. They (IH and JK) are minor arcs because they are acute angle and the other arcs are Obtuse.

IK and HJ are semicircles because they are two points that is forming a line between the circle. two points that are connected, is already a semicircle.

HK is a major arc because it's central angle is obtuse.

Answer:

1: 14z+2

2: 7z/4 + 5x

3: y²/3z

Answer:

16

Step-by-step explanation:

Edit: Lol I learned this a while ago but imagine a ladder 5 or more goes up for sure 4 or less let it rest. Meaning anything over 5 goes up to the next digit and anything lower like 4 stays on that number

Answer:

16.

15.74 is closer to 16 than 15

Answer:

bowl a: 11/8 pounds of chili

bowl b: 11/24 pounds of chili

bowl c: 33/48

Answer:

H₀ should be rejected at CI 95% .

Then the proportion of adults with 95 % CI is bigger than the proportion of teen

Step-by-step explanation:

From adult sample:

n₂ = 2323

x₂ = 1601

p₂ = 1601 / 2323         p₂  = 0,689       or    p₂ = 68,9%

From teen sample:

n₁ = 875

x₁ = 555

p₁ = 555/ 875           p₁  = 0,634          or    p₁  = 63,4

Values of p₁  and  p₂   suggest that the proportion of adults consuming at least one meat free meal per week is bigger than teen proportion.

To either prove or reject the above statement we have to develop a difference of proportion test according to:

Hypothesis test:

Null Hypothesis                   H₀             p₁  =  p₂

Alternative Hypothesis       Hₐ             p₂  > p₁

So is a one-tail test to the right

We can establish a confidence interval of 95 % then  α = 5 %

or    α = 0,05

As the samples are big enough we will develop a z test

Then  z(c)  for α = 0,05   from z table is     z(c) = 1,64

To calculate z(s)

z(s) = ( p₂  -  p₁ ) / √p*q* ( 1/n₁  + 1/n₂ )

where p = ( x₁ + x₂ ) / n₁ + n₂       p = 555 + 1601 / 875 + 2323

p = 2156/3198       p = 0,674

and   q = 1 - 0,674        q = 0,326

z(s) = ( 0,689 - 0,634 ) / √0,674*0,326 ( 1/875 + 1 / 2323

z(s) = 0,055/ √ 0,2197 ( 0,00114 + 0,00043)

z(s) = 0,055/ √0,2197* 0,00157

z(s) = 0,055/ √ 3,45*10⁻⁴

z(s) = 0,055 / 1,85*10⁻²

z(s) = 5,5/1,85

z(s) = 2,97

Comparing  z(s) and z(c)     z(s) > z(c)

Then z(s) is in the rejection region we reject H₀.

We can claim that the proportion of adult eating at least one meat-free meal is bigger than the proportion of teen

Answer:

$86.75 i think

Step-by-step explanation:

Answer:

Definitions of gravitational force. (physics) the force of attraction between all masses in the universe; especially the attraction of the earth's mass for bodies near its surface. synonyms: gravitation, gravitational attraction, gravity.

Answer:

The answer is A

Step-by-step explanation:

A: ay=sin(x +c)+d  I got a 100 on the test

Answer:

84 miles

Step-by-step explanation:

Distance between the two cities on the drawing = 1½ in.

Scale of drawing = ¼ inches is to 14 miles

Actual distance between the two cities using proportion:

(14*1½)/¼

Actual distance = 84 miles

Answer:

.42

Step-by-step explanation:

Step-by-step explanation:

Divide 8.40 by 20, use a calculator. Make sure to put $ in your answer.

Answer:

11 cups

Step-by-step explanation:

Answer:

11 us cups are in 5 1/2 pints

Step-by-step explanation:

hope this helps

Answer:

3.14

Step-by-step explanation:

The answer is going to be 3.14

Hope it helps!