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patriot [66]
3 years ago
14

7(m+5) = 21 What is it?​

Mathematics
2 answers:
pav-90 [236]3 years ago
7 0

Answer:

m = -2

Step-by-step explanation:

Look at the attached image. First, we divide both sides by 7 to get m + 5 = 3. Now, we subtract 5 from both sides to get m = -2. Now, we substitute m for -2. As we can see, it checks out.

son4ous [18]3 years ago
6 0
M= -2 because you divide both side by 7 to get m+5=3 then subtract 5 from both sides to get m=-2
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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
Which of the following numbers is a rational but not a integer
Temka [501]
Rational numbers are numbers that can be turned into a fraction. They can be negative or positive.
Integers are whole numbers. They can be negative or positive. 

Numbers such as 0.10 are rational because they can be turned into a fraction
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8 0
3 years ago
A cyclist rides his bike at a rate of 21 miles per hour. What is this rate in miles per minute? How many miles will the cyclist
Citrus2011 [14]
5 days ago, hope this still helps though! 

Alright 21 miles per hour. We know that there are 60 minutes in an hour. So this is basically saying 21 miles per 60 minutes. To find the rate for miles per minute, you divide 21 by 60 which is 0.35. 

In one minute the cyclist rides 0.35 miles
In two minutes the cyclist rides 0.7 miles
5 0
3 years ago
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GaryK [48]
As a group they were paid $1000 after putting in 4+6+5+5 = 20 worker-hours.
$1000/(20 worker-hours) = $50/(worker-hour)
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Kassa and Tegitu each received 5*$50 = $250
6 0
3 years ago
A 4​-ft vertical post casts a 12​-in shadow at the same time a nearby cell phone tower casts a 122​-ft shadow. How tall is the c
zepelin [54]

Answer:

the cell phone tower is 488 ft

Step-by-step explanation:


change 12 in = 1ft

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------------------- =   ----------------

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using cross products

4 * 122 = 1 * x

488 = x

3 0
3 years ago
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