Marcus bought a drill at 25% of the regular price. He paid $32.89 for the drill What was the regular price?

A veterinarian weighed a sample of 666 puppies. Here are each of their weights (in kilograms): 1, 2, 7, 7, 10, 151,2,7,7,10,151,

rjkz [21]

Answer:

The standard deviation of the weight, σ, is approximately 4.73 kg

Step-by-step explanation:

The weights of the six puppies are;

$x_i$ = 1, 2, 7, 7, 10, and 15

The number of puppies, n = 6

Therefore, we have;

The mean = μ = ∑x/n = (1 + 2 + 7 + 7 + 10 + 15)/6 = 7

The standard deviation, σ, is given as follows;

$\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{n}}$

By substituting, we have;

$\sigma =\sqrt{\dfrac{ \left (1-7 \right )^{2} + \left (2-7 \right )^{2} + \left (7-7 \right )^{2} + \left (7-7 \right )^{2} + \left (10-7 \right )^{2} + \left (15-7 \right )^{2} }{6}}$

Simplifying gives;

$\sigma =\sqrt{\dfrac{ \left (-6 \right )^{2} + \left (-5 \right )^{2} + \left (0 \right )^{2} + \left (0 \right )^{2} + \left (3 \right )^{2} + \left (8 \right )^{2} }{6}} =\sqrt{\dfrac{ 36 + 25 + 0 +0+ 9 + 64 }{6}}$

$\sigma =\sqrt{\dfrac{ 134 }{6}} = \sqrt{\dfrac{67}{3} } \approx 4.72582$

The standard deviation of the weight, σ ≈ 4.73 kg to two decimal places.

4 0

3 years ago

Read 2 more answers

IF UR GOOD IN GEOMETRY THIS QUESTION IS FOR YOU !! PLEASE HELP I SUCK AT MATH !

wlad13 [49]

It is 2 I believe :)

3 0

3 years ago

if the original recipe calls for 50 portions, 6oz each and the new recipe calls for 100 portions at 5oz each, what is the recipe

kvv77 [185]

By using multiplication and division of integers, it can be calculated that

Conversion factor of the recipe = $\frac{500}{300}$ = 1.6

What is multiplication and division of integers?

At first it is important to know about integers

Integers are those numbers which has no fractional part. Integer can be positive, negative and zero is also an integer.

Repeated addition is called multiplication. Multiplication is used to find the product of two or more integers.

What is division?

Division is the process by which value of single unit can be calculated from the value of multiple unit.

The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula for division

Divisor x Quotient + Remainder = Dividend.

This is a word problem where multiplication and division of integers is required

The original recipe calls for 50 portions, 6oz each

Required yield of the original recipe = 50 $\times$ 6 = 300 oz

The new recipe calls for 100 portions at 5oz each

Required yield of the new recipe = 100 $\times$ 5 = 500 oz

Conversion factor of the recipe = $\frac{500}{300}$ = 1.6

To learn more about multiplication and division of integers, refer to the link-

brainly.com/question/28337146

#SPJ4

5 0

1 year ago

Mona is skating at a speed of 300 feet per minute. Lina is 1000 feet behind her. What should be her speed if she wants to catch

Allisa [31]

If we translate the facts into location equations, xM=Mona's location, xL=Lina's location, then we get:

xM(t) = 300t
xL(t) = v*t - 1000
xM(10)=xL(10)

Where v is Lina's speed we have to find.

Plugging them all together gives:

300*10 = 10v - 1000

Which can be solved:

3000 + 1000 = 10v
4000 = 10v
v=400

Lina should skate at 400 feet per minute!

4 0

3 years ago

Please help me with Part A and B!

Illusion [34]

Answer:

A. When Katina has $280 in her bank account, 4 months have passed. Plug 4 months into Malorie's bank account equation:

a = 50(4) + 100

a = 200 + 100

a = $300

B. Malorie's bank account changes at a greater rate. Katina's bank account amount increases by $20 each month, whereas Malorie's bank account increases by $50.

Ex: month 5

Katina has 300, 20 more than the previous month.

Malorie has 350, 50 more than the previous month

5 0

3 years ago