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Elina [12.6K]
2 years ago
7

Azaria took the equation: 4x + 3 = 2x - 18 and turned it into the equivalent equation: 2x + 3 = -18. Describe what she did to cr

eate her new equivalent equation
Mathematics
1 answer:
aleksley [76]2 years ago
4 0

Answer:

She subtracted both sides of the equation by 2x.

Step-by-step explanation:

Because she did that, 4x - 2x + 3 = 2x - 2x -18

When subtracting like terms, 2x + 3 = -18

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What a division problem that equals 17
Step2247 [10]

Answer: 34/2, 51/3, 68/4

4 0
3 years ago
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Find the surface area of the pyramid shown to the nearest whole number.
Snezhnost [94]

Answer:

<h3>The answer is option A</h3>

Step-by-step explanation:

Surface area of a pyramid =

area of base + area of triangular faces

Since it's a square based pyramid

It's surface area is

area of base + 4( area of one triangular face)

Since the square has equal sides

<u>For square base </u>

Area of a square = l²

where l is the length

From the question l = 5

So we have

Area of square base = 5² = 25ft²

<u>For one of the triangular face</u>

Area of a triangle = ½ × base × height

base = 5

height = 6

Area = ½ × 5 × 6 = 15ft²

So the surface area of the pyramid is

25 + 4(15)

= 25 + 60

We have the final answer as

<h3>Surface area = 85 ft²</h3>

Hope this helps you

7 0
3 years ago
The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in t
andreyandreev [35.5K]

Answer:

The test statistic is c. 2.00

The p-value is a. 0.0456

At the 5% level, you b. reject the null hypothesis

Step-by-step explanation:

We want to test to determine whether or not the mean waiting time of all customers is significantly different than 3 minutes.

This means that the mean and the alternate hypothesis are:

Null: H_{0} = 3

Alternate: H_{a} = 3

The test-statistic is given by:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

Sample of 100 customers.

This means that n = 100

3 tested at the null hypothesis

This means that \mu = 3

The average length of time it took the customers in the sample to check out was 3.1 minutes.

This means that X = 3.1

The population standard deviation is known at 0.5 minutes.

This means that \sigma = 0.5

Value of the test-statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}

z = 2

The test statistic is z = 2.

The p-value is

Mean different than 3, so the pvalue is 2 multiplied by 1 subtracted by the pvalue of Z when z = 2.

z = 2 has a pvalue of 0.9772

2*(1 - 0.9772) = 2*0.0228 = 0.0456

At the 5% level

0.0456 < 0.05, which means that the null hypothesis is rejected.

7 0
3 years ago
Change to a mixed number. 13/3
miss Akunina [59]

Answer:

4 and 1/3

Step-by-step explanation:

3 can go into 13 4 times with one left over

my rank is expert

hope this helps

5 0
3 years ago
If anyone has seen my other post this is my last one, I just really need to bring up my grade and I’ll really appreciate your an
Ganezh [65]

Answer:

55 mph

Step-by-step explanation:

First hour: 40 mph

Second, Third, Fourth hours:

180 miles / 3 hours = 60 mph

Average: 40 (hour 1) + 60 (hour 2) + 60 (hour 3) + 60 (hour 4) = 220 / 4 hours = 55 mph average

I hope this helps!

6 0
3 years ago
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