In quadrilateral ABCD, AD ∥ BC. What must the length of segment AD be for the quadrilateral to be a parallelogram?

90% of a number is x . What is 100% of the number? Assume x>0

mariarad [96]

Step-by-step explanation:

Let the required number be n

$\therefore \: \frac{90}{100} \times n = x \\ \\ \therefore \: \frac{9}{10} \\ \\ \therefore \:n = \frac{10}{9} x \\ \\ \therefore 100\% \: of\:n = \frac{10}{9} x \times 100\% \\ \\ = \frac{10}{9} x \times \frac{100}{100} \\ \\ = \frac{10}{9} x \\$

NOTE: A number is always 100% in itself.

3 0

3 years ago

HELP ASAP WILL MARK BRAINIEST IF YOU ARE RIGHT !Which of the following represents a function?

gregori [183]

Answer:

Option C.

Step-by-step explanation:

This is a function because all of the numbers have a partner, and none of them have more than one.

Example of Not a Function

Function Not a Function

-4 to 5 -4 to 5 <

9 to 7 -4 to 3 <

13 to 3 13 to 3 ^

-7 to 5 9 to 7 ^

-7 to 5 ^

Not a Function because of this

8 0

3 years ago

A manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly.

denpristay [2]

Answer:

We conclude that the population mean light bulb life is at least 500 hours at the significance level of 0.01.

Step-by-step explanation:

We are given that a manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly. The population standard deviation is 50 hours and the light bulb life is normally distributed.

You select a sample of 100 light bulbs and find mean bulb life is 490 hours.

Let $\mu$ = population mean light bulb life.

So, Null Hypothesis, $H_0$ : $\mu \geq$ 500 hours {means that the population mean light bulb life is at least 500 hours}

Alternate Hypothesis, $H_A$ : $\mu$ < 500 hours {means that the population mean light bulb life is below 500 hours}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean bulb life = 490 hours

σ = population standard deviation = 50 hours

n = sample of light bulbs = 100

So, the test statistics = $\frac{490-500}{\frac{50}{\sqrt{100} } }$

= -2

The value of z test statistics is -2.

Now, at 0.01 significance level the z table gives critical value of -2.33 for left-tailed test.

Since our test statistic is higher than the critical value of z as -2 > -2.33, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the population mean light bulb life is at least 500 hours.

7 0

3 years ago

Read the assignment carefully and make sure you answer each part of the question or questions.

spayn [35]

Answer:

1. 3/5=60%

2. 4 remaining in the bag

3. 2 marbles remain in the bag

4. 2/4=1/2=50%

7 0

3 years ago

The perimeter of a rectangular field that measures 2 feet by 18 inches is _________ ft. A. 40 B. 7 C. 84 D. 6

In-s [12.5K]

Answer:

It is the letter A

Step-by-step explanation:

To find the perimeter you need to add all the sides. Since the width of the rectangle is 2 feet, you need to add it to another 2 since they have two equal sides. DO the same with 18 inches which is the length.

4 0

3 years ago

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