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Sergeu [11.5K]
3 years ago
8

At a football game there are 4 children for every 14 adults. If there are 1584 total people at the game, how many of them are ch

ildren?
Mathematics
1 answer:
Alex777 [14]3 years ago
8 0

Answer:

Step-by-step explanation:

This was $14 less than twice what she spent for a blouse . ... If it is a solution of equations, then plug your solution into the equations you are working on to ... If a mathematical problem is expressed in words, then first try to express all the ... of Brian, Brian is three times older than Charles and the sum of their ages is 44 years.

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The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April,
Karolina [17]

Answer:

a)Null hypothesis:\mu = 24.57  

Alternative hypothesis:\mu \neq 24.57  

b) df=n-1=30-1=29  

Since is a two sided test the p value would be:  

p_v =2*P(t_{(29)}  

c)  If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the true mean is different from 24.57 at 5% of signficance.

d)  For this case since we have a two tailed test we need to find two critical values and we need 0.025 of the area on each tail of the t distribution with 29 degrees of freedom. The critical values are given by:

t_{crit}=\pm 2.045

And the rejection zone would be given by:

(-\infty , -2.045) U(2.045,\infty)

Since pur calculated value is not on the rejection zone we Fail to reject the null hypothesis.

Step-by-step explanation:

The mean hourly wage for employees in goods-producing industries is currently $24.57. Suppose we take a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries.

a. State the null and alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.

We need to conduct a hypothesis in order to check if the mean is equal to 24.57 or not, the system of hypothesis would be:  

Null hypothesis:\mu = 24.57  

Alternative hypothesis:\mu \neq 24.57  

b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value.

\bar X=23.89 represent the sample mean  

s=2.4 represent the sample standard deviation

n=30 sample size  

\mu_o =24.57 represent the value that we want to test

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

If we analyze the size for the sample is = 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{23.89-24.57}{\frac{2.4}{\sqrt{30}}}=-1.552    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=30-1=29  

Since is a two sided test the p value would be:  

p_v =2*P(t_{(29)}  

c. With  α = 0.05  as the level of significance, what is your conclusion?

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the true mean is different from 24.57 at 5% of signficance.

d. Repeat the preceding hypothesis test using the critical value approach.

For this case since we have a two tailed test we need to find two critical values and we need 0.025 of the area on each tail of the t distribution with 29 degrees of freedom. The critical values are given by:

t_{crit}=\pm 2.045

And the rejection zone would be given by:

(-\infty , -2.045) U(2.045,\infty)

Since pur calculated value is not on the rejection zone we Fail to reject the null hypothesis.

4 0
3 years ago
You notice a hot air balloon descending. The elevation h (in feet) of the balloon is modeled by the function h(x)=−6x+330, where
Anastasy [175]

Answer:

<h3>55 secs</h3>

Step-by-step explanation:

Given the elevation h (in feet) of the balloon modeled by the function h(x)=−6x+330, we can calculate the time it takes the balloon to reach the ground. The hot air balloon hits the ground at h(x) = 0.

Substitute h(x) = 0 into the modeled expression and find x as shown;

h(x)=−6x+330

0 = −6x+330

6x = 330

Divide both sides by 6

6x/6 = 330/6

x = 55 seconds

Hence the hot air balloon hits the ground after 55 seconds

4 0
2 years ago
What is the volume of a cone when the radius is 6 and the height is 13
lidiya [134]

Answer:

<h2>489.84 units³</h2>

Step-by-step explanation:

Given,

Radius ( r ) = 6

Height ( h ) = 13

Volume of cone = ?

Now, Let's find the volume of cone:

= \pi \:  {r}^{2}  \frac{h}{3}

plug the values

= 3.14 \times  {6}^{2}  \times  \frac{13}{3}

Evaluate the power

= 3.14 \times 36 \times  \frac{13}{3}

Calculate

489.84 units³

Hope this helps..

Best regards!!

6 0
3 years ago
Write an equation in slope-intercept form for the line that passes through (2,-2) and is perpendicular to x + 5y =6
Oksana_A [137]
X + 5y = 6
5y = -x + 6
y = -1/5x + 6/5....the slope here is -1/5. A perpendicular line will have a negative reciprocal slope. All that means is flip the original slope and change the sign. So we flip -1/5 and make is -5/1....and we change the sign...making it 5/1 or just 5. So our perpendicular line will have a slope of 5.

y = mx + b
slope(m) = 5
(2,-2)...x = 2 and y = -2
sub and find b, the y int
-2 = 5(2) + b
-2 = 10 + b
-2 - 10 = b
-12 = b

so ur perpendicular equation is : y = 5x - 12 <=
3 0
3 years ago
The measure of two angles in a triangle are shown in the diagram what equation can be used to find the value of x
earnstyle [38]

Answer:

Step-by-step explanation:

5 0
3 years ago
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