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3 years ago

What is the value of x?

Mathematics

2 answers:

Andre45 [30]3 years ago

8 0

Answer:

Step-by-step explanation:

5x and 128 are adjacent angles and sum to 180° , then

5x + 128 = 180 ( subtract 128 from both sides )

5x = 52 ( divide both sides by 5 )

x = 10.4 → A

lozanna [386]3 years ago

7 0

These angles are what we call supplementary angles, which means that the sum of each angle should amount to the measure of a straight angle, 180°

So, we can form an equation.

128+5x=180

Solve using the normal steps.

128-128+5x=180-128

5x=52

x=10.4

Therefore, x=10.4

If you want to check, substitute x in 5x for 10.4.

5(10.4)=52

So, the angles each measure 52° and 128°.

Add them to see if they are 180° together.

52+128=180°

Therefore, x=10.4

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You want to estimate the mean weight loss of people one year after using a popular weight-loss program being advertised on TV. H

maria [59]

Answer:

At least 6907 people.

Step-by-step explanation:

Population std deviation = sigma= 10.6

Since population std deviation is known, we can use normal probability table to get sample size from confidence interval.

The sample mean weight loss is within 0.25 lb of the true population mean.

Hence margin of error < 0.25

Margin of error = z critical (std dev/n) where n = sample size

Z critical for 95% = 1.96

Hence 0.25 >1.96(10.6)/sq rt n

Simplify to get

sq rt n > 1.96(10.6)/0.25 = 83.104

Square both the sides to get

n > 83.104 square = 6906.27

i.e. sample size should be atleast 6907.

3 0

3 years ago

On the unit circle, an angle terminates at the coordinate (x,y). What is the relationship between the x and y components of the

Ivahew [28]

The unit circle is represented below:

As can be observed in the figure above, for an angle (t), the relation between the trigonometric functions and x and y components is:

x = cos(t)

y = sen(t)

x is positive in the first and in the fourth quadrant. Thus, cos (t) will be positive for angles in the first and fourth quadrant.

y is positive in the first and in the second quadrant. Thus, sin (t) will be positive for angles in the first and second quadrant.

6 0

2 years ago

Enter the number of complex zeros for the polynomial function in the box. f(x)=x3−96x2+400

ioda

Solution:

There is no (zero) complex zeros for the given polynomial.

Explanation:

We apply Descartes' rule of sign to identify the number of complex roots.

The given polynomial is $f(x)=x^3-96x^2+400$

Let us see the number of sign changes in f(x)

+,-,+

There are 2 sign changes in f(x). One from plus to minus and second from plus to minus. Hence, there 2 or 0 positive roots.

Now, let us see the number of sign changes in f(-x)

$f(-x)=-x^3-96x^2+400$

-,-,+

There are only one sign change. Hence, there will be 1 negative roots.

The degree of the polynomial is 3. Hence, there will be exactly 3 zeros.

Therefore, the possible numbers of zeros are

2 positive, 1 negative and 0 complex

0 positive, 1 negative and 2 complex.

Hence, possible number of complex zeros are 0 and 2.

Now, we graph the function in xy plane and see that the graph cuts the x axis at three points. It means all the zeros are real , which is the case of first possibility (2 positive, 1 negative and 0 complex).

Hence, the number of complex zeros for the given polynomial is zero.

5 0

4 years ago

Read 2 more answers

I literally forgot how to do this plz help ASAP

tekilochka [14]

Answer:

3/8

Step-by-step explanation:

3/10 ÷ 4/5

Copy dot flip

3/10 * 5/4

Rewriting

3 /4 * 5/10

3/4 *1/2

3/8

3 0

3 years ago

Read 2 more answers

A web-based company has a goal of processing 95 percent of its orders on the same day they are received. If 485 out of the next

HACTEHA [7]

Answer:

The null hypothesis was rejected.

Conclusion: The proportions of orders completed on the day of receiving is more than 95%.

Step-by-step explanation:

The hypothesis can be defined as:

H₀: The proportions of orders completed on the day of receiving is not more than 95%, i.e. p ≤ 0.95.

Hₐ: The proportions of orders completed on the day of receiving is more than 95%, i.e. p > 0.95.

The significance level of the test is α = 0.025.

The sample size is, n = 500.

As the sample size is large, the sampling distribution of sample proportion can be approximated by the Normal distribution.

The mean and standard deviation of this distribution are:

$\mu=p\\\sigma=\sqrt{\frac{p(1-p)}{n}}$

The test statistic is:

$z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}} }$

The sample proportion is:

$\hat p=\frac{X}{n}=\frac{485}{500}=0.97$

Compute the test statistic as follows:

$z=\frac{0.97-0.95}{\sqrt{\frac{0.95(1-0.95)}{500}} }=2.05$

The decision rule is:

If the p-value is less than the significance level α then the null hypothesis is rejected.

Compute the p-value as follows:

$p-value=P(Z>2.05)\\=1-P(Z$

*Use a z-table.

The p-value = 0.0202 < α = 0.025.

The null hypothesis will be rejected.

Conclusion:

As the null hypothesis was rejected at 2.5% level of significance, it can be concluded that the proportions of orders completed on the day of receiving is more than 95%.

3 0

3 years ago

Read 2 more answers