Write a real-world problem that corresponds to the equation <br> 14x−2=17x−11

The amounts of sugar (grams of sugar per gram of cereal) and calories (per gram of cereal) were recorded for a sample of 16 diff

tigry1 [53]

Answer:

The best predicted calorie count for a cereal with a measured sugar amount of 0.40 g is 3.864

Step-by-step explanation:

Consider the provided information.

he linear correlation coefficient is r= 0.765 and the regression equation is $\hat y= 3.46 + 1.01\times x$

The mean of the 16 amounts of sugar is 0.295 grams and the mean of the 16 calorie counts is 3.76.We need to find the best predicted calorie count for a cereal with a measured sugar amount of 0.40 g

Substitute x = 0.40 in the given equation.

$\hat y= 3.46 + 1.01\times 0.40$

$\hat y= 3.46 + 0.404$

$\hat y= 3.864$

Hence, the best predicted calorie count for a cereal with a measured sugar amount of 0.40 g is 3.864

6 0

3 years ago

What is AE ? <br><br><br> ___ units

sattari [20]

We can form two ratios to help us solve this:

(2x+6):10 = (x+6):8

(2x+6) (x+6)
--------- = --------
10 8

Cross multiply:
8(2x+6) = 10(x+6)

Foil:
16x + 48 = 10x + 60

Move like variables to the same side:
16x - 10x = 60 - 48
6x = 12
x = 2

Line AE = 2x+6
Plug 2 for x into the equation: 2(2) + 6 = 10

Hope this helps, and May the Force Be With You!

-Jabba

6 0

3 years ago

A population of beetles are growing according to a linear growth model. The initial population (week 0) is P0=9, and the populat

Marat540 [252]

Answer:

y = 4x + 9

week 21

Step-by-step explanation:

first I did 37-9 and got 28 I divide that by 7 ( seven weeks) and got 4 so I know the slope is 4.

so to find how many weeks till 93 I did; 93 = 4x + 9. We have to get x by its self so I minus 9 by both sides and got 84 = 4x. So now we divid both sides by 4 to get x by its self and we end up with 21 = x

5 0

3 years ago

If the expected value (the mean) of successes in a binomial experiment of 100 trials is 55. Which of the following are not true?

Elis [28]

Answer:

All of the statements are true

Step-by-step explanation:

Given that :

Number of trials (n) = 100

Expected number of successes = 55

The number of successes of the 100 trials :

Number of successes / number of trials = 55 / 100 = expected number of successes / n = 55/ 100 = 0.55

Using Normal approximation :

Standard deviation (σ) = √(npq) ; q = 1 - p = 1 - 0.55 = 0.45

σ = √(100 * 0.55 * 0.45) = √24.75 = 4.975

The probability distribution of x = B(n, p) = x = B(100, 0.55)

Using approximation ; N(p, σ) = N(55, 4.97)

Hence, All of the statements are true

7 0

3 years ago

Describe in words how to graph the line y=-2/3 + 2

ehidna [41]

Answer:

Hi there!

Your answer is:

Based off the problem we can tell that the slope is -2/3 and the y intercept is 2. This means we must start our line at the point (0,2). Since slope is in the form rise/run, we know that we must go UP 2 units for every 3 units we go LEFT! We know to go left (As x goes to positive infinity, y goes to negative infinity. ) because the slope is negative!

Hope this helps

7 0

3 years ago

Write a real-world problem that corresponds to the equation 14x−2=17x−11