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VashaNatasha [74]
2 years ago
8

6. Two more than 16 times a number is the same as 2 less than the product of -7 and the number.

Mathematics
1 answer:
ryzh [129]2 years ago
8 0

Answer:

2+16*x=-7*x-2

Step-by-step explanation:

1. The phrase "two more" means add two to whatever comes next.

2. "16 times a number" means 16 is multiplied by an unknown number represented by a variable.

3. "two less than" means subtract two from the number(s) that come next.

4. "product of -7 and the number" means multiply -7 times the same variable previously used.

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12 ounces of juice mix         1 ounce of juice mix
__________________ = __________________
36 ounces of water             3 ounces of water

For every ounce of juice mix, there are 3 ounces of water. 

Hopefully, this answers your question.
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3 years ago
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A phone manufacturer wants to compete in the touch screen phone market. He understands that the lead product has a battery life
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Answer:

a)

The null hypothesis is H_0: \mu \leq 10

The alternative hypothesis is H_1: \mu > 10

b-1) The value of the test statistic is t = 1.86.

b-2) The p-value is of 0.0348.

Step-by-step explanation:

Question a:

Test if the battery life is more than twice of 5 hours:

Twice of 5 hours = 5*2 = 10 hours.

At the null hypothesis, we test if the battery life is of 10 hours or less, than is:

H_0: \mu \leq 10

At the alternative hypothesis, we test if the battery life is of more than 10 hours, that is:

H_1: \mu > 10

b-1. Calculate the value of the test statistic.

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used to solve this question

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

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

10 is tested at the null hypothesis:

This means that \mu = 10

In order to test the claim, a researcher samples 45 units of the new phone and finds that the sample battery life averages 10.5 hours with a sample standard deviation of 1.8 hours.

This means that n = 45, X = 10.5, s = 1.8

Then

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{10.5 - 10}{\frac{1.8}{\sqrt{45}}}

t = 1.86

The value of the test statistic is t = 1.86.

b-2. Find the p-value.

Testing if the mean is more than a value, so a right-tailed test.

Sample of 45, so 45 - 1 = 44 degrees of freedom.

Test statistic t = 1.86.

Using a t-distribution calculator, the p-value is of 0.0348.

5 0
2 years ago
Which expression shows a way to find 2,813 x 7?
sergey [27]

Answer: C)14,000 + 5,600 + 70 + 21

Step-by-step explanation:

2813=2000+800+10+3

2000*7=14000

800*7=5600

10*7=70

3*7=21

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8 0
2 years ago
Graph the following pair of quadratic functions and describe any similarities/differences observed in the graphs.
horsena [70]

Answer:

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2 years ago
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What is the area of this figure? Please help.
Ad libitum [116K]

The area of the composite figure can be found by summing the whole area that made up the figure. Therefore, the area of the figure is 213.5m²

<h3>Area of a composite figure</h3>

The area of the composite figure is the sum of the area of the whole figure.

Therefore, the composite figure can be divided into 2 triangles and two rectangles.

Hence,

area of triangle1 = 1 / 2 × 10 × 13 = 65 m²

area of the triangle2 = 1 / 2 × 15 × 7 = 52.5 m²

area of the rectangle1 = 8 × 3 = 24 m²

area of rectangle2 = 7 × 6 = 42 m²

area of rectangle3 = 5 × 6 = 30 m²

Therefore,

area of the composite figure = 65 + 52.5 + 24 + 42 + 30 = 213.5 meters squared

learn more on area here: brainly.com/question/27744042

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1 year ago
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