Draw the graph of g(x) = 2x + 3, if x ≥ 1 g(x) = 5, if x

Find the image of (2,-7) after a reflection over the x-axis

asambeis [7]

Answer: (2, 7)

Step-by-step explanation:

To reflect something over the x-axis, simply invert the y value. Simply turn -7 into 7.

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3 0

3 years ago

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 149 millimeters,

Artemon [7]

Answer:

The probability that the sample mean would differ from the population mean by more than 0.5 millimeters is 0.2420.

Step-by-step explanation:

Let X = the diameter of the steel bolts manufactured by the steel bolts manufacturing company Thompson and Thompson.

The mean diameter of the bolts is:

μ = 149 mm.

The standard deviation of the diameter of bolts is:

σ = 5 mm.

A random sample, of size n = 49, of steel bolts are selected.

The population of the diameter of bolts is not known.

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

The mean of the sampling distribution of sample mean is:

$\mu_{\bar x}=\mu=149\ mm$

The standard deviation of the sampling distribution of sample mean is:

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{5}{\sqrt{49}}=0.7143$

Compute the probability that the sample mean would differ from the population mean by more than 0.5 millimeters as follows:

$P(\bar X>\bar x)=P(\frac{\bar X-\mu_{\bar x}}{\sigma _{\bar x}}>\frac{0.50}{0.7143})\\=P(Z>0.70)\\=1-P(Z$

*Use a z-table for the probability.

Thus, the probability that the sample mean would differ from the population mean by more than 0.5 millimeters is 0.2420.

8 0

4 years ago

Read 2 more answers

What is 3 3/4 divided by 1 1/2? a. 1 1/2 b. 2 1/2 c. 3 1/2 d. 4 1/2

Lerok [7]

Answer:

c i took the test

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

An appliance manufacturer claims to have developed a new toaster oven that consumes an average of no more than 250 W. From previ

ehidna [41]

Answer:

a. No the null hypothesis cannot be rejected at 1% level of significance as the calculated value of z= 2.222 which lies with in 2.333

b. Yes for the Type 1 Error of 2.5% we say the toaster oven consumes more than 250 W of power because the calculated value 2.22 lies outside the region for 1.96

c. The cut-off at 2.5% level of significance is 258.82 W.

d. 0.85 is the area for Type 2 error.

e. The cut-off at 1% level of significance is 260.485W.

f. 0.154 is the area for Type 2 Error

g. The Type 2 Error is increased when Type 1 Error is decreased.

h. The Type 1 Error is decreased when Type 2 Error is increased .

Step-by-step explanation:

The answer is attached.

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3 0

3 years ago

Angelica makes $15.50 per hour, while Khalil makes $12 per

VMariaS [17]

a. Angelica makes 29.16% more than Khalil.

b. Khalil makes 22.58% less than Angelica.

Step-by-step explanation:

Given,

Per hour pay of Angelica = $15.50

Per hour pay of Khalil = $12

a. Angelica makes what percent more than Khalil?

Difference = Angelica's pay - Khalil's pay

Difference = 15.50 - 12 = $3.50

Percentage = $\frac{Difference}{Khalil's\ pay}*100$

Percentage = $\frac{3.50}{12}*100$

Percentage = $\frac{350}{12}=29.16\%$

Angelica makes 29.16% more than Khalil.

b. Khalil makes what percent less than Angelica?

Difference = Khalil's pay - Angelica's pay

Difference = 12 - 15.50 = -$3.50

Negative sign indicates the decrease.

Percent decrease = $\frac{Difference}{Angelica's pay}*100$

Percent decrease = $\frac{3.50}{15.50}*100=\frac{350}{15.50}$

Percent decrease = 22.58%

Khalil makes 22.58% less than Angelica.

Keywords: percentage, division

Learn more about division at:

#LearnwithBrainly

3 0

3 years ago

Draw the graph of g(x) = 2x + 3, if x ≥ 1 g(x) = 5, if x > 1