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3 years ago

Y = -4x + 3

Mathematics

1 answer:

VikaD [51]3 years ago

7 0

Answer:

c. parallel lines

Step-by-step explanation:

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Write an algebraic expression with the constant 7 and the variable and Y

Lapatulllka [165]

answer

y/7

step by step explanation

3 0

3 years ago

Researchers are interested in the effect of a certain nutrient on the growth rate of plant seedlings. Using a hydroponics grow p

Sergeeva-Olga [200]

Answer:

1) $\bar X \pm ME$

And the margin of error for this case is $ME= 5.4$

And the confidence interval would be:

$61.5-5.4 = 56.1$

$61.5+5.4 = 66.9$

2) For this case the best estimator for the population mean $\mu$ is given by the sample mean:

$\bar X = 61.5$

And the reason of this is beacuse is an unbiased estimator of the parameter:

$E(\bar X) = \mu$

Step-by-step explanation:

Data given:

53.1, 60.2, 60.6, 62.1, 64.4, 68.6.

We can calculate the sample mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

$\bar X= 61.5$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Part 1

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

Or equivalently:

$\bar X \pm ME$

And the margin of error for this case is $ME= 5.4$

And the confidence interval would be:

$61.5-5.4 = 56.1$

$61.5+5.4 = 66.9$

Part 2

For this case the best estimator for the population mean $\mu$ is given by the sample mean:

$\bar X = 61.5$

And the reason of this is beacuse is an unbiased estimator of the parameter:

$E(\bar X) = \mu$

4 0

4 years ago

3(6x+2)<9 solve the inequality

vladimir1956 [14]

3(6x+2) <9

Use distributive property:

18x + 6 < 9

Subtract 6 from both sides

18x < 3

Divide both sides by 18

X < 3/18

Simplify:

X < 1/6

7 0

3 years ago

Marni writes this system to determine how much of each ingredient Alyssa plans to buy. She uses x to represent

liubo4ka [24]

Answer:

Alyssa buys 4 cups of frozen fruit puree and 2 cups of yogurt.

Step-by-step explanation:

Here, x = Represent cups of frozen fruit puree

y = Represent cups of yogurt.

The given system of equations by Marni are:

x + y = 6,

2x + 3y = 14

After first step of elimination,the equations are:

-2x - 2y = -12

2x + 3y = 14

Now, ADD BOTH THE EQUATIONS to eliminate the variable x:

-2x - 2y + (2x + 3y) = -12 + 14

or, y = 2

Now, put y =2 in x + y =6, we get

x = 6 - y = 6 -2 = 4

So, x = 4 and y = 2 is the solution of the given system.

Hence, Alyssa buys 4 cups of frozen fruit puree and She buys 2 cups of yogurt.

5 0

3 years ago

Read 2 more answers

Why are there three partial products in 481x352 and only two partial products in 481x302?

Sindrei [870]

352 can be separated by 300, 50, and 2. These numbers can produce 3 partial products.

302 can only produce 2 partial products because the only numbers to consider are 300 and 2. 0 is not considered because any number multiplied by 0 is equal to 0.
481 ( 400 + 80 + 1)
<u> x352 </u> (300 + 50 + 2)
2 (2 x 1)
160 (2 x 80)
800 (2 x 400) Partial product 1 = 962
50 (50 x 1)
4000 (50 x 80)
20000 (50 x 400) Partial product 2 = 24,050
300 (300 x 1)
24000 (300 x 80)
<u> 120000 (</u>300 x 400) Partial product 3 = 144,300
169,312

3 0

3 years ago