Caleb bought groceries and paid $1.60 in sales tax. The sales tax rate is 2.5%

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everyth

Ad libitum [116K]

Answer:

y>3x+2

Step-by-step explanation:

1. use y2-y1/x2-x1 to find the slope (3)

2. since the y-intercept is already give as (0,2) we have the equation y=3x+2

3. finally since the left side is shaded, that would mean everything greater than that equation can equal y therefore y>3x+2

8 0

2 years ago

Which of the following equations will yield the volume of a triangular prism?

Flura [38]

Answer:

V = Bh

Step-by-step explanation:

The equations will yield the volume of a triangular prism is V = Bh.

Where,

V = Volume

B = Base

h = Height

Here are an example :

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Kavinsky

5 0

2 years ago

5x + 3x - 2 = 22 Number only please.

sattari [20]

x=3

5x+3x-2=22

8x-2=22

8x=24

x=3

7 0

2 years ago

Read 2 more answers

A carpenter has a rectangular wooden board. The diagonal of the board is 18 inches long and one side of the board is 12 inches l

BaLLatris [955]

In this question, it is given that the diagonal of the board is 18 inches long and one side of the board is 12 inches long.

Let the other side is of length b inches .

Now we use pythagorean identity, which is

$a^2 + b ^2 = c^2$

Here, a = 12 and c=18

Substituting these values, we will get

$12^2 + b^2 = 18^2 \\ 144 + b ^2 = 324 \\ b^2 = 324-144 \\ b^2 = 180 \\ b= \sqrt{180} \\ b = 13.4164 inches$

And the formula of perimeter is

$Perimeter = 2(Sum\ of \ legs)$

Substituting the values of the two legs, we will get

$Perimeter = 2(12+13.4164) = 50.83 inches$

3 0

2 years ago

Read 2 more answers

The number of entrees purchased in a single order at a Noodles & Company restaurant has had an historical average of 1.35 en

trasher [3.6K]

Answer:

a) 0.3571

b) The p-value is 0.362007.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 1.35

Sample mean, $\bar{x}$ = 1.4

Sample size, n = 26

Alpha, α = 0.01

Sample standard deviation, s = 0.7

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 1.35\text{ entrees per order}\\H_A: \mu > 1.35\text{ entrees per order}$

We use One-tailed t test to perform this hypothesis.

a) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n-1}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{1.4 - 1.35}{\frac{0.7}{\sqrt{25}} } = 0.3571$

b) The p-value at t-statistic 0.3571 and degree of freedom 25 is 0.362007.

4 0

3 years ago