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3 years ago

What number do we use to replace the (a) a-(-19)= -12

Mathematics

1 answer:

Lena [83]3 years ago

7 0

Answer:

-31

Step-by-step explanation:

We write the equation out

$a-(-19)=-12$

Distribute the -1

$a+19=-12$

Subtract the 19 on both sides

$a=-31$

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Automobile racing, high-performance driving schools, and driver education programs run by automobile clubs continue to grow in p

yuradex [85]

Answer:

Step-by-step explanation:

Hello!

Given the variables

X₁: Weight of a safety helmet for racers

X₂: Price of a safety helmet for racers

Note, there is n= 17 observed values for each variable so for all calculations I'll use this number and disregard the 18 mentioned in the text.

a) Scatterplot in attachment.

b) If you look at the diagram it seems that there is a negative linear regression between the price and the weight of the helmets, meaning, the higher the helmet weights, the less it costs.

c) The estimated regression equation is ^Yi= a + bXi

n= 17; ∑Y= 6466; ∑Y²= 3063392; ∑X= 1008; ∑X²= 60294; ∑XY= 367536

Y[bar]= 380.35; X[bar]= 59.29

$b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} } = \frac{367536-\frac{1008*6466}{17} }{60294-\frac{(1008)^2}{17} } = -30.18$

$a= Y[bar]- bX[bar]= 380.35-(-30.18)*59.29= 2169.77$

The estimated regression equation for the price of the helmets as a function of their weight is:

^Yi= 2169.77 -30.18Xi

I hope it helps!

8 0

3 years ago

Sandy plans on making 100 cookies that are the same size from 212.7 ounces of dough. How many ounces of dough should make up eac

Hitman42 [59]

Answer: 2.127

Step-by-step explanation:

For this problem, we have to divide the number 212.7 by 100 cookies.

212.7 ÷ 100 = 2.127

So, each cookie will require 2.127 ounces of dough.

5 0

3 years ago

Read 2 more answers

Find the measure of angle C of a triangle ABC, if: m∠A = ∝, m∠B = 2∝

Effectus [21]

Answer:

The measure of ∠ C is 180°-3∝

Step-by-step explanation:

We are given a ΔABC

∠A = ∝

∠B = 2∝

Angle sum property of triangle : The sum of all angles of triangle is 180° is called angle sum property of triangle

So, ∠A+∠B+∠C=180°

∝+2∝+∠C=180°

3∝+∠C=180°

∠C=180°-3∝

Hence the measure of ∠ C is 180°-3∝

5 0

3 years ago

alo had the third highest grade oint avwrage (GPA) of a group of five. His GPA was 79, amd ir was 12 points lower thank the high

soldier1979 [14.2K]

The fourth highest GPA is 6

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3 years ago

Or the past 100 years, the average high temperature on october 1 is 78° with a standard deviation of 5°. what is the probability

valina [46]

Answer:

The probability is 0.683

Step-by-step explanation:

To calculate this, we shall be needing to calculate the z-scores of both temperatures

mathematically;

z-score = (x-mean)/SD

From the question mean = 78 and SD = 5

For 73

z-score = (73-78)/5 = -5/5 = -1

For 83

z-score = (83-78)/5 = 5/5 = 1

So the probability we want to calculate is within the following range of z-scores;

P(-1 <z <1 )

Mathematically, this is same as ;

P(z<1) - P(z<-1)

Using the normal distribution table;

P(-1<z<1) = 0.68269 which is approximately 0.683

3 0

4 years ago