A set of math tests is normally distributed

A) Calculate an estimate for the mean height of the students. 129.3 cm

Sedbober [7]

Answer:

(a) Y = 129.3x (b) It is an estimate as it may not be a true reflection of a student's height

Step-by-step explanation:

(a) Estimate of the mean height is the sum of the heights of all the students divided by the total number of students.

The question however needs more information for its estimation as 129.3cm is representative and may be the mean height but it was not stated.

However, assuming it is the mean height,

Let the total number of students be x

while Y is the sum of all individual student heights

Mathematically, mean = Y/x

Therefore 129.3 = Y/ x

implying that Y = 129.3x

(b) It is an estimate because computation of the mean gives an average which may not be an exact value. For example, the mean here is 129.3 whereas there will be many heights greater than that and some lesser than that and obviously, there may be no student with height of 129.3 hence it is an estimate.

8 0

3 years ago

1 5/7÷4/9 = what's the answer and how to write the problem out

balu736 [363]

The solution to given expression $1\frac{5}{7} \div \frac{4}{9}$ is $\frac{27}{7}$ or 3.8571

Solution:

Given expression is:

$1\frac{5}{7} \div \frac{4}{9}$

First let us convert the mixed fraction to improper fraction

Multiply the whole number by the denominator.

Add the answer from Step 1 to the numerator.

Write answer from Step 2 over the denominator.

Thus we get,

$1\frac{5}{7} = \frac{1 \times 7 + 5}{7} = \frac{12}{7}$

Now the given expression becomes,

$1\frac{5}{7} \div \frac{4}{9} = \frac{12}{7} \div \frac{4}{9}$

Convert the problem to multiplication by changing the division sign to multiplication and inverting the fraction to the right of the sign

$\frac{12}{7} \div \frac{4}{9} = \frac{12}{7} \times \frac{9}{4}$

Multiply the numerators, multiply the denominators, and leave the product in factored form

$\frac{12}{7} \times \frac{9}{4} = \frac{27}{7}$

In decimal form we get,

$\frac{27}{7} = 3.8571$

Thus the solution to given expression is $\frac{27}{7}$ or 3.8571

4 0

3 years ago

How do you find y-intercept with only slope and on point plz explain too 1,4;slope=-2

Zielflug [23.3K]

Answer:

y= -2x+6

Step-by-step explanation:

use point slope form ----> y-y,=m(x-x,)

(the commas serve as ones)

y-4= -2(x-1)

use distributive property

y-4= -2x+2

add 4 to each side

y= -2x+6

8 0

3 years ago

A package of modeling clay was shaped like a cone with a radius of 24 cm and a height of 6 cm. Miriam used all the clay to make

Darina [25.2K]

Given:
Cone shape: radius = 24 cm ; height = 6cm
Cylinder: radius = 16cm

We need to find the volume of each shape.

Volume of a cone = π r² h/3 = 3.14 * 24² * 6/3 = 3.14 * 576 * 2 = 3,617.28

Volume of a cylinder = π r² h
3,617.28 = 3.14 * 16² * h
3,617.28 = 3.14 * 256 * h
3,617.28 = 803.84 h
3,617.28 / 803.84 = 803.84h/803.84
4.5 = h

The height of the cylinder is 4.5cm

7 0

4 years ago

Sara loves to go hiking. This week she hiked 3 miles on Monday, 4 miles on Tuesday, and 3 miles on Thursday. Last week Sara hike

yKpoI14uk [10]

For the answer to the question above, it is just simple and easy. I will the answers directly and the answer is Sara hiked 2 more miles this week than last week.

I hope my answer helped you. Have a nice day!

6 0

3 years ago