What is the area of the shaded region

The winner of a golf tournament made five putts for birdies. The lengths of these putts are in the table shown. What is the tota

Elden [556K]

First, note that

1 yard = 3 foot,

1 feet = 12 inches.

Now add all lengths:

15 ft 4 in + 9 ft 2 in + 14 ft 7 in + 10 ft 11 in +5 ft 8 in = 53 ft 32 in.

Since 32 in = 24 in + 8 in = 2 ft 8 in, then

53 ft 32 in = 53 ft + 2 ft 8 in =55 ft 8 in.

Since 55 ft = 54 ft + 1 ft = 18 yd 1 ft, then

55 ft 8 in = 18 yd 1 ft 8 in.

Answer: correct choice C

3 0

4 years ago

A 0.1 significance level is used for a hypothesis test of the claim that when parents use a particular method of gender selecti

Andrews [41]

Answer:

(a) Null Hypothesis, $H_0$ : p = 0.50

Alternate Hypothesis, $H_A$ : p > 0.50

(b) The value of level of significance (α) given in the question is 0.10.

(c) The sampling distribution of the sample statistic is Normal distribution.

(d) This test is right-tailed.

(e) The value of z test statistics is 0.96.

(f) The P-value is 0.1685.

(g) At 0.10 significance level the z table gives critical value of 1.282 for right-tailed test.

(h) We conclude that the proportion of baby girls is equal to 0.50.

Step-by-step explanation:

We are given that a 0.1 significance level is used for a hypothesis test of the claim that when parents use a particular method of gender selection, the proportion of baby girls is greater than 0.5.

Assume that sample data consists of 78 girls in 144 births.

Let p = population proportion of baby girls

(a) So, Null Hypothesis, $H_0$ : p = 0.50 {means that the proportion of baby girls is equal to 0.50}

Alternate Hypothesis, $H_A$ : p > 0.50 {means that the proportion of baby girls is greater than 0.50}

(b) The value of level of significance (α) given in the question is 0.10.

(c) The sampling distribution of the sample statistic is Normal distribution.

(d) This test is right-tailed as in the alternative hypothesis we are concerned for proportion of baby girls that is greater than 0.50.

(e) The test statistics that would be used here One-sample z test for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of baby girls = $\frac{78}{144}$ = 0.54

n = sample of births = 144

So, the test statistics = $\frac{0.54-0.50}{\sqrt{\frac{0.54(1-0.54)}{144} } }$

= 0.96

The value of z test statistics is 0.96.

(f) The P-value of the test statistics is given by;

P-value = P(Z > 0.96) = 1 - P(Z < 0.96)

= 1 - 0.8315 = 0.1685

(g) Now, at 0.10 significance level the z table gives critical value of 1.282 for right-tailed test.

(h) Since our test statistic is less than the critical value of z as 0.96 < 1.282, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region (which was to the right of value of 1.282) due to which we fail to reject our null hypothesis.

Therefore, we conclude that the proportion of baby girls is equal to 0.50.

7 0

3 years ago

What is the x-intercept for the equation? 3x + 6y = 24 -4 4. 8 -8

lesantik [10]

Answer:8

Step-by-step explanation: plug in 0 for y then solve

8 0

3 years ago

What is the volume of the following rectangular prism 4 2 1/8

Verizon [17]

Answer: 10

Step-by-step explanation: volume of rectangular prism=length x height x width

volume of rectangular prism=8 x5x1/4

Volume of rectangular prism =10

3 0

3 years ago

Read 2 more answers

Discuss how you will use number sense to help plan a trip to your state capital. In your response, include the numbers that woul

nordsb [41]

To plan a trip to your state capital, you need the following numbers

The number of available routes
The distance
The speed limit
Time

Assume you're travelling by road, you need to highlight the number of routes between your state and the state capital.

The number of routes is a natural number (i.e. minimum of 1 e.g. 6, 8, 1). Because it is a natural number, the number of routes can never be 0.

Next is to determine the distance to the state capital through each route. In most cases, the distance between places are positive rational or irrational numbers (however, they can be approximated to natural numbers).

The speed limit on each route will also help in planning the trip. Speed limits are always represented as natural numbers. When you know the speed limit (and the distance), you can use that to predict how long (i.e. the time) the trip will take. The formula to use is:

$Speed = \frac{Distance}{Time}$

Make time the subject

$Time= \frac{Distance}{Speed }$

The value of time can be estimated/approximated as a natural number.

In addition to the previous number, you may also need the following numbers

The liters of fuel to use
The amount of fuel per liter

The essence of place value in these number (especially the numbers with decimal points) is to get an estimated value.