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3 years ago

Lex is at the mall, which is 8 miles from his house. Lex walks home at a constant rate of 2 miles an hour.

1 answer:

6 0

Y = -2x + 8 <=== this would be ur equation where x is the number of hrs and y is the total distance (in miles) from home

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I want solution 1 and 2 with the steps to know the final answer

Delicious77 [7]

Question 1:

Slope = 1/5

y = mx + c
y = 1/5 x + c
at point (5, -1)
-1 = 1/5 (5) + c
- 1= 1 + c
c = - 2

y = 1/5x - 2
5y = x - 10

Question 2:
slope = (9-5)/(3-1)
Slope = 2

y = mx + c
y = 2x + c

at point (1, 5)
5 = 2(1) + c
c = 5 - 2
c = 3

y = 2x + 3

4 0

3 years ago

A random sample of 64 bags of white cheddar popcorn weighed, on average, 5.23 ounces with a standard deviation of 0.24 ounce.

emmasim [6.3K]

Answer:

We conclude that cheddar popcorn weighed less than 5.5 ounces.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ =5.5 ounces

Sample mean, $\bar{x}$ = 5.23 ounces

Sample size, n = 64

Alpha, α = 0.05

Sample standard deviation, σ = 0.24 ounce.

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 5.5\text{ ounces}\\H_A: \mu < 5.5\text{ ounces}$

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

Formula:

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

Putting all the values, we have

$z_{stat} = \displaystyle\frac{5.23 - 5.5}{\frac{0.24}{\sqrt{64}} } = -9$

Now, $z_{critical} \text{ at 0.05 level of significance } =-1.645$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that cheddar popcorn weighed less than 5.5 ounces.

3 0

3 years ago

invent three meaningful algebatric expressions of your own from the list of variables and enter them into the table below.write

Mars2501 [29]

Answer:

Step-by-step explanation:

4 0

2 years ago

what is the total weight of the italian Sandwhich?write the amount as a fraction in simplest form,meat:0.35,vegie:0.15,sauce:0.0

Olegator [25]

The total weight of the Italian sandwich in its simplest fraction is 3/5.

meat : 0.35 in fraction 35/100
veggies : 0.15 in fraction 15/100
sauce : 0.05 in fraction 5/100
bread : 0.05 in fraction 5/100

Total weight = 35/100 + 15/100 + 5/100 + 5/100
= (35 + 15 + 5 + 5) / 100
= 60/100

To simplify the fraction:

60/100 ⇒ 60 ÷ 10 = 6 ; 100 ÷ 10 = 10 ⇒ 6/10
6/10 ⇒ 6 ÷ 2 = 3 ; 10 ÷ 2 = 5 ⇒ 3/5

7 0

2 years ago

Read 2 more answers

I traveled 3920 miles and 7 hours on an airplane how many miles do I travel in 1 hour

valentinak56 [21]

Hi , the answer is 600 , because 3920 miles divided by 420 minutes[7hours] equals to 9.33 and 9.33 times 60 minutes[1 hour] equals to 559.8 , which is an approximate of 600.

6 0

2 years ago