1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kherson [118]
3 years ago
12

What number is 53% of 470?

Mathematics
1 answer:
Ivahew [28]3 years ago
3 0
53% of 470 is exactly 249.10000000000002. What ever is closest to that is your answer.

You might be interested in
At silver gym membership is $25 per month ,and personal training session are $30 each. At fit factor , membership is $65 per mon
frosja888 [35]
If you are solving for x than the answer would be x=4.
8 0
3 years ago
Read 2 more answers
At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical popul
vampirchik [111]

Answer:

a) Null Hypothesis: \mu =900

Alternative hypothesis: \mu \neq 900

b) The 95% confidence interval would be given by (910.05;959.95)    

c) Since we confidence interval not ocntains the value of 900 we fail to reject the null hypothesis that the true mean is 900.

d) z=\frac{935 -900}{\frac{180}{\sqrt{200}}}=2.750

Since is a bilateral test the p value is given by:

p_v =2*P(Z>2.750)=0.0059

Step-by-step explanation:

a. State the hypotheses.

On this case we want to check the following system of hypothesis:

Null Hypothesis: \mu =900

Alternative hypothesis: \mu \neq 900

b. What is the 95% confidence interval estimate of the population mean examination  score if a sample of 200 applications provided a sample mean x¯¯¯= 935?

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=935 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=180 represent the population standard deviation

n=200 represent the sample size  

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

In order to calculate the mean and the sample deviation we can use the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n} (2)  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}} (3)  

The mean calculated for this case is \bar X=3278.222

The sample deviation calculated s=97.054

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

Now we have everything in order to replace into formula (1):

935-1.96\frac{180}{\sqrt{200}}=910.05    

935+1.96\frac{180}{\sqrt{200}}=959.95    

So on this case the 95% confidence interval would be given by (910.05;959.95)    

c. Use the confidence interval to conduct a hypothesis test. Using α= .05, what is your  conclusion?

Since we confidence interval not ocntains the value of 900 we fail to reject the null hypothesis that the true mean is 900.

d. What is the p-value?

The statistic is given by:

z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

If we replace we got:

z=\frac{935 -900}{\frac{180}{\sqrt{200}}}=2.750

Since is a bilateral test the p value is given by:

p_v =2*P(Z>2.750)=0.0059

So then since the p value is less than the significance we can reject the null hypothesis at 5% of significance.

8 0
3 years ago
you have won a lucky draw contest and are offered the option of receiving either 50000 today or 12500 at the end of the next fiv
artcher [175]
Question was not worded corrently
5 0
3 years ago
If mR = 2x2 - 7°, mS = 4x2 - 6x + 40°, and mT = 18x + 3°, what is mR?
Minchanka [31]

Answer:

its C

Step-by-step explanation:

8 0
3 years ago
Will mark Brainliest
olga55 [171]

Answer:

10

Step-by-step explanation:

This means that 12/(2x+1)=8/(x+4). Cross multiply to get 16x + 8 = 12x + 48. Subtract 12x + 8 from both sides to get 4x = 40, so x = 10.

3 0
3 years ago
Other questions:
  • Joe borrowed $2000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 5 years?
    9·2 answers
  • Help please?
    8·1 answer
  • 62 POINTS!!!
    7·2 answers
  • When they ask, for example "What is the value of √100?" are they asking what is the square root of 100?
    12·2 answers
  • This , i don't know how to do this , I don't know how to find a, would you help me ?
    15·1 answer
  • An adventure company wants to run a zip line from the top of one building that is 95 feet tall to the top of another building th
    5·1 answer
  • 8x+4(4x- 3) = 4(6x +4)-4​
    7·1 answer
  • Factorize:<br>a)x³-3x²+2x-6-xy+3y<br>b)mn-mx-n+x​
    9·2 answers
  • Identify the independent and dependent variable for the given situation. The amount of
    13·2 answers
  • What is the solution of the system of equations graphed below?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!