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OleMash [197]
3 years ago
15

What is the value of x?

Mathematics
1 answer:
Alex777 [14]3 years ago
7 0

Answer:

D. 30°

Step-by-step explanation:

By exterior angle theorem:

x° + 70° = 100°

x° = 100° - 70°

x° = 30°

x = 30

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In the rectangular prism above, BF = 20 units, EF = 11 units, and BC = 9 units. If the rectangular prism is divided into two par
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The right answer for the question that is being asked and shown above is that: "D. a rectangle with a length of 20 units and a width of 11 units." This is the statement that <span>best describes the resulting cross-section of the prism</span>
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3 years ago
Can someone please help me with this its urgent I don’t get it
Varvara68 [4.7K]

Answer:

$1,221

Step-by-step explanation:

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Simplify (5x^-6)^3 leave your answer as a fraction in index form
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Answer: 125/x^18

Step-by-step explanation: this should be the answer

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What is the equation of the line passing through the point (-2,-1) and perpendicular to the line y = 1/2x+5?
uranmaximum [27]

Step-by-step explanation:

the slope of a line is always the factor of x.

here : 1/2

it is the ratio y/x indicating how many units y changes, when x changes a certain angina amount of units when going from one point to another.

a perpendicular slope puts x and y upside-down and flips the sign.

here : -2/1 = -2

so, the equation looks like

y = -2x + b

b is the y-intercept, and we get this by putting the x and y coordinates of the given point into this equation and solve for b :

-1 = -2×-2 + b

-1 = 4 + b

b = -5

the full equation is therefore

y = -2x - 5

3 0
2 years ago
A news report states that the 99% confidence interval for the mean number of daily calories consumed by participants in a medica
expeople1 [14]

Answer:

The sample mean is of 1925 calories.

The margin of error is of 75 calories.

The sample standard deviation is of 109.7992 calories.

Step-by-step explanation:

Sample mean:

The sample mean is the mean value of the two bounds of the confidence interval. So

M = \frac{1850 + 2000}{2} = 1925

The sample mean is of 1925 calories.

The margin of error

Difference between the bounds and the sample mean. So

2000 - 1925 = 1925 - 1850 = 75 calories.

The margin of error is of 75 calories.

Sample standard deviation:

Here, I am going to expand on the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.898

The margin of error is:

M = T\frac{s}{\sqrt{n}}

In which s is the standard deviation of the sample and n is the size of the sample.

Since M = 75, T = 2.898, n = 18

M = T\frac{s}{\sqrt{n}}

75 = 2.898\frac{s}{\sqrt{18}}

s = \frac{75\sqrt{18}}{2.898}

s = 109.7992

The sample standard deviation is of 109.7992 calories.

6 0
2 years ago
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