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d1i1m1o1n [39]
3 years ago
6

5

Mathematics
2 answers:
Vera_Pavlovna [14]3 years ago
7 0
24 because the ratio is 5:8 and you have to multiply 5 by 3 to get 15
so you have to do the same thing to 8 and multiply it by 3 to get 24
natta225 [31]3 years ago
5 0
5 drops of red paint for 8 drops of yellow paint therefore
5*3=15 drops of red paint
8*3= 24 drops of yellow paint
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the table shows the types of popcorn buckets sold at a concession station for one day. what percent of the buttered popcorn buck
vlada-n [284]
Hi there! The answer is about 23%

First we need to find the total amount of buttered popcorn sold. This is 182 + 140 + 97 = 419 buckets.

To find the percentage of the buttered popcorn buckets that were large, we use the following formula:
\frac{part}{total} \times 100\%

Filling in this formula brings us to our answer:
\frac{97}{419} \times 100\% = 23.15
Hence, the answer is about 23%
7 0
3 years ago
You have a die with two red faces, two blue faces, and two white faces. What is the probability the die is tossed and shows eith
elena-s [515]

Answer:

1/3??? im probably wrong but i would answer it like this.

Step-by-step explanation:

5 0
2 years ago
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If all guitar players are musicians, then all musicians are guitar players.
IrinaVladis [17]

Answer:

This does not make sense.

Step-by-step explanation:

Just because you are a musician does not mean you play the guitar.

You can play the piano and a trumpet, but not be able to play a guitar!

5 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
Angle of depression from point a to point c
Arisa [49]

Answer:

32°

Step-by-step explanation:

90 - 58 = 32

4 0
3 years ago
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