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Mandarinka [93]
3 years ago
11

Is angle CAT possible?​

Mathematics
1 answer:
quester [9]3 years ago
6 0

Answer:yes

Step-by-step explanation:

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Assume the population has a normal distribution. A sample of 25 randomly selected students Has a mean test score of 81.5 With a
Natasha_Volkova [10]

Answer:

The 90% confidence interval for the mean test score is between 77.29 and 85.71.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 25 - 1 = 24

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 2.064

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.064\frac{10.2}{\sqrt{25}} = 4.21

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 81.5 - 4.21 = 77.29

The upper end of the interval is the sample mean added to M. So it is 81.5 + 4.21 = 85.71.

The 90% confidence interval for the mean test score is between 77.29 and 85.71.

6 0
2 years ago
if I have 40 buckets and need to fill 64/100 with soap and the rest with water how many do I fill with water?
Bas_tet [7]
36 100ths with water obviously
5 0
2 years ago
Read 2 more answers
8x-11+5x+2x+6=180 what is the measurement for x.
Verizon [17]

I assume you're looking for the value of x?

Combine like terms: 8x+5x+2x-11+6=180 -> 15x-5=180

Add 5 to both sides: 15x=185

Divide both sides by 15: x=12 1/3

So x is 12 1/3 or 37/3

Hope this helped!

6 0
3 years ago
Write 12241.025 how do u read this
charle [14.2K]

Answer:

12241.025

Step-by-step explanation:

Twelve thousand, two hundred and forty one point zero, two, five

6 0
2 years ago
Find the solution set.2x^2+3x=2 separate the two values with a comma.
inna [77]

Answer:

x = -2, 1/2

Step-by-step explanation:

Step 1: Isolate everything to 1 side

2x² + 3x - 2 = 0

Step 2: Factor

(2x - 1)(x + 2) = 0

Step 3: Find roots

2x - 1 = 0

2x = 1

x = 1/2

x + 2 = 0

x = -2

5 0
3 years ago
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