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4 years ago

9 to 2

Mathematics

1 answer:

Arlecino [84]4 years ago

5 0

Answer:

$\frac { 4 } { 5 }$

Step-by-step explanation:

We are given the following two points and we are to find the slope of the line which passes through these points:

$(3.-1)$ and $(-2,-5)$

The formula of the slope is given by:

Slope = $\frac { y _ 2 - y _ 1 } { x _ 2 - x _ 1 }$

Substituting the given coordinates in the above formula:

Slope = $\frac { - 5 - ( - 1 ) } { - 2 - 3 } = \frac { 4 } { 5 }$

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A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 404 gram setting. It

Nezavi [6.7K]

Answer:

There is no sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

We are given;

n = 27 bags

Sample mean;X = 402 gram

Population mean;μ = 404 gram

Variance = 676

We know that, standard deviation(σ) = √variance

Thus;

σ = √676

σ = 26

The hypotheses are;

Null hypothesis; H0: μ = 404

Alternative hypothesis; HA: μ < 404

Let's find the z-score from the formula;

z = (X - μ)/(√σ/n)

z = (402 - 404)/√(26/27)

z = -2.04

From the z-distribution table attached, we have a p-value of 0.02068

This is less than the significance value of 0.01 and thus we will reject the null hypothesis and conclude that there is no sufficient evidence to support the claim that the bags are underfilled

6 0

4 years ago

One side of a rectangle is 10 feet shorter than twice another side. Find the length of the shorter side if we also know the peri

seropon [69]

Answer:

6 feet

Step-by-step explanation:

Let x represent the length of "another side." Then "one side" is ...

2x -10 . . . . . . 10 feet shorter than twice another side

The sum of these two side lengths is half the perimeter, so is ...

x + (2x -10) = 14 . . . . . two sides are half the perimeter

3x = 24 . . . . . . . . . . . . add 10, collect terms

x = 8 . . . . . . . . . . . . . . .divide by the coefficient of x

(2x -10) = 2·8 -10 = 6 . . . . find "one side"

We have found "one side" to be 6 feet long, and "another side" to be 8 feet long. The shorter side is 6 feet.

8 0

3 years ago

Pls say the answer :( pls say it

Aleksandr [31]

Refer to the pic ...(◕ᴗ◕✿)✌️✌️

4 0

3 years ago

Solve. 10 · w = 90 w = ______

Ratling [72]

Answer:

Step-by-step explanation:

10- w = 90

w = 90 -10

w = 80

5 0

3 years ago

Read 2 more answers

Omar has decided to purchase an $11,000 car. He plans on putting 20% down toward the purchase, and financing the rest at 4.8% in

Solnce55 [7]

Answer:

The monthly payment is $262.95

Step-by-step explanation:

* Lets explain how to solve the problem

- Omar has decided to purchase an $11,000 car

- He plans on putting 20% down toward the purchase

* Lets find the value of the 20%

∵ The principal value is $11000

∴ the value of the 20% = 20/100 × 11000 = 2200

∴ He will put $2200 down

* Lets find the balance to be paid off on installments

∴ The balance = 11000 - 2200 = 8800

- He financing the rest at 4.8% interest rate for 3 years

* Lets find the rule of the monthly payment

∵ $pmt=\frac{\frac{r}{n}[P(1+\frac{r}{n})^{nt}]}{(1+\frac{r}{n})^{nt}-1}$ , where

- pmt is the monthly payment

- P = the investment amount

- r = the annual interest rate (decimal)

- n = the number of times that interest is compounded per unit t

- t = the time the money is invested or borrowed for

∵ P = 8800

∵ r = 4.8/100 = 0.048

∵ n = 12

∵ t = 3

∴ $pmt=\frac{\frac{0.048}{12}[8800(1+\frac{0.048}{12})^{3(12)}]}{(1+\frac{0.048}{12})^{3(12)}-1}$

∴ $pmt=\frac{0.004[8800(1.004)^{36}]}{(1.004)^{36}-1}=262.95$

* The monthly payment is $262.95

8 0

3 years ago