B.6.40ft

C.2.33ft

D.1.40ft

Answer:
This information will be modeled using the formula

thus we shall have:

Sn=ar^n

where:

a=first term

r=common ratio

from the information:

a=30 ft

r=60/100=3/5=0.6

therefore the formula will be

Sn=30(0.6)^n

where n is the number of terms:

thus when n=5 th sum will be:

S5=30(0.6)^5

S5=30(0.6)^5

S5=2.33 ft

Answer: 2.33 ft

thus we shall have:

Sn=ar^n

where:

a=first term

r=common ratio

from the information:

a=30 ft

r=60/100=3/5=0.6

therefore the formula will be

Sn=30(0.6)^n

where n is the number of terms:

thus when n=5 th sum will be:

S5=30(0.6)^5

S5=30(0.6)^5

S5=2.33 ft

Answer: 2.33 ft

Answer:

**Answer:**

2.33

**Step-by-step explanation:**

Please answer asap.........

(c) Simplify fullyexexexf————exex fxf

The State Police are trying to crack down on speeding on a particular portion of the Massachusetts Turnpike. To aid in this pursuit, they have purchased a new radar gun that promises greater consistency and reliability. Specifically, the gun advertises ± one-mile-per-hour accuracy 75% of the time; that is, there is a 0.75 probability that the gun will detect a speeder, if the driver is actually speeding. Assume there is a 1% chance that the gun erroneously detects a speeder even when the driver is below the speed limit. Suppose that 72% of the drivers drive below the speed limit on this stretch of the Massachusetts Turnpike. a. What is the probability that the gun detects speeding and the driver was speeding? b. What is the probability that the gun detects speeding and the driver was not speeding? c. Suppose the police stop a driver because the gun detects speeding. What is the probability that the driver was actually driving below the speed limit?

A data related to air pollution in 10 U.S. cities. The dependent variable Y is the annual mean concentration of sulfur dioxide, in micrograms per cubic meter. The explanatory variable X records the number of manufacturing enterprises employing 20 or more workers. Below is Routput of the relationship between X and Y. Coefficients: Estimate Std. Error t value Pro> tl) (Intercept) 9.4764 9.6266 0.98 0.354 2.0315 0.0070 4.51 0.CO2 ** X Signif. codes: 9 ****' 0.001 ***' 0.01 **' 0.05, 0.1' '1 Residual standard error: 17.9 on 8 degrees of freedom Multiple R-squared: 0.717, Adjusted R-squared: 0.682 F-statistic: 20.3 on 1 and 8 DF, p-value: 0.00198a) Write the regression equation with parameters from the R output.b) Suppose that the number of manufacturing enterprises employing 20 or more workers in Irvine is 250, could you predict that the annual mean concentration of sulfur dioxide in Irvine?c) What is the residual if in Irvine the annual mean concentration of sulfur dioxide is 15 micrograms per cubic meter.d) What is the value of the correlation coefficient?e) Calculate a 95% confidence interval for the slope of the model.f) Based on the confidence interval, is there a linear relationship between X and Y?

Point R is on line segment QS. Given RS = 2 and QS = 10, determine the length QR

(c) Simplify fullyexexexf————exex fxf

The State Police are trying to crack down on speeding on a particular portion of the Massachusetts Turnpike. To aid in this pursuit, they have purchased a new radar gun that promises greater consistency and reliability. Specifically, the gun advertises ± one-mile-per-hour accuracy 75% of the time; that is, there is a 0.75 probability that the gun will detect a speeder, if the driver is actually speeding. Assume there is a 1% chance that the gun erroneously detects a speeder even when the driver is below the speed limit. Suppose that 72% of the drivers drive below the speed limit on this stretch of the Massachusetts Turnpike. a. What is the probability that the gun detects speeding and the driver was speeding? b. What is the probability that the gun detects speeding and the driver was not speeding? c. Suppose the police stop a driver because the gun detects speeding. What is the probability that the driver was actually driving below the speed limit?

A data related to air pollution in 10 U.S. cities. The dependent variable Y is the annual mean concentration of sulfur dioxide, in micrograms per cubic meter. The explanatory variable X records the number of manufacturing enterprises employing 20 or more workers. Below is Routput of the relationship between X and Y. Coefficients: Estimate Std. Error t value Pro> tl) (Intercept) 9.4764 9.6266 0.98 0.354 2.0315 0.0070 4.51 0.CO2 ** X Signif. codes: 9 ****' 0.001 ***' 0.01 **' 0.05, 0.1' '1 Residual standard error: 17.9 on 8 degrees of freedom Multiple R-squared: 0.717, Adjusted R-squared: 0.682 F-statistic: 20.3 on 1 and 8 DF, p-value: 0.00198a) Write the regression equation with parameters from the R output.b) Suppose that the number of manufacturing enterprises employing 20 or more workers in Irvine is 250, could you predict that the annual mean concentration of sulfur dioxide in Irvine?c) What is the residual if in Irvine the annual mean concentration of sulfur dioxide is 15 micrograms per cubic meter.d) What is the value of the correlation coefficient?e) Calculate a 95% confidence interval for the slope of the model.f) Based on the confidence interval, is there a linear relationship between X and Y?

Point R is on line segment QS. Given RS = 2 and QS = 10, determine the length QR

**Answer:**

Sample mean = 6.25 hours per night.

Population mean = 5.5 hrs of sleep each night.

**Step-by-step explanation:**

A sample mean is the mean of the sample collected. The 25 students surveyed by the student is the sample. The average sleep time derived from the sample is the sample mean.

A population mean is the mean of all the population. Here the population are college students. The population mean is the mean derived from studying the sleep duration of all the population - college students

What are the coordinates of the vertex of the parabola?

Enter your answer in the boxes.

**Answer:**

**vertex ( , ).**

**Step-by-step explanation:**

Given : The equation of a parabola is given.

y=−14x²+4x−19

To find : What are the coordinates of the vertex of the parabola.

Solution : We have given that

y = −14x²+4x−19

we will be "completing the square" .

Factor out -14 to make leading coefficient 1

y = -14 ()

Add and subtract

y = -14 ( .

Complete the square

y = -14 ( .

y = -14 (

Standard form of parabola vertex form y = a(x - h)²+ k,

Where, ( h, k) are vertex

On comparing a = -14 , h= , k =

**Therefore, vertex ( , ).**

The coordinates are 8, -3.

b. Find the probability of removing exactly 2 nickels, 2 dimes and 2 quarters.

**Answer:**

(a) 1 - (15 C 6) / (30 C 6)

(b) (5 C 2) x (10 C 2) x (15 C 2) / (30 C 2)

**Step-by-step explanation:**

Number of nickels = 5

Number of dimes = 10

Number of quarters = 15

(a) The probability of getting 6 quarters

= (15 C 6) / (30 C 6)

So, the probability of not getting 6 quarters = 1 - (15 C 6) / (30 C 6)

(b) Probability of getting 2 nickels , 2 dimes and 2 quarters

= (5 C 2) x (10 C 2) x (15 C 2) / (30 C 2)

for 16 square rooms in a

hotel. Each room will need

100 square feet of

carpet. What is the

length of 1 room?

**Answer:**

Length of a room is 10ft

**Step-by-step explanation:**

**Given**

**Required**

Determine the length of each room

**Here, we'll assume that the carpet will cover each room completely.**

**If so:**

**Take square root of both sides**

**Take positive square root**

**Hence, the length of a room is 10ft**

**Answer:**

A

C

D

**Step-by-step explanation:**

45 were type A blood.Does this suggest that the

actual percentage of type A

donations is less than40%, the percentage of the

population having type A

blood? Carry out a testof the appropriate

hypotheses using a significance

level of0.01.

**Answer:**

Null hypothesis:

Alternative hypothesis:

If we compare the p value obtained and the significance level given we see that so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that the true proportion is not significantly lower than 0.4 or 40% at 1% of significance.

**Step-by-step explanation:**

**1) Data given and notation **

n=150 represent the random sample taken

X=45 represent the people with type A blood

estimated proportion of people with type A blood

is the value that we want to test

represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

represent the p value (variable of interest)

**2) Concepts and formulas to use **

We need to conduct a hypothesis in order to test the claim that the true proportion of people type A blood is less than 0.4:

Null hypothesis:

Alternative hypothesis:

When we conduct a proportion test we need to use the z statisitc, and the is given by:

(1)

The **One-Sample Proportion Test** is used to assess whether a population proportion is significantly different from a hypothesized value .

**3) Calculate the statistic **

Since we have all the info requires we can replace in formula (1) like this:

**4) Statistical decision **

It's important to refresh the **p value method or p value approach **. "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided . The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

If we compare the p value obtained and the significance level given we see that so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that the true proportion is not significantly lower than 0.4 or 40% at 1% of significance.