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Rzqust [24]
3 years ago
15

A bag contains:

Mathematics
1 answer:
masya89 [10]3 years ago
5 0

Answer: 2 out of 20=2/20 but simplified 1/10 for trying to get a green marble.

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Is the value X = -3 a solution to the inequality -2x + 5 > 13? Justify your response.
Musya8 [376]

Answer:

Step-by-step explanation:

Replacing X with -3 ves you -2(-3) + 5 > 13. -2(-3) is 10 + 5 > 13.  10 + 5 gives you 15, which is greater than 13.

7 0
3 years ago
Assume that both populations are normally distributed. ​a) Test whether mu 1 not equals mu 2 at the alpha equals 0.05 level of s
Radda [10]

Answer:

(16.2-14.1) -2.03 \sqrt{\frac{4.5^2}{19} +\frac{3.1^2}{19}} = -0.445

(16.2-14.1) +2.03 \sqrt{\frac{4.5^2}{19} +\frac{3.1^2}{19}} = 4.645

Step-by-step explanation:

Previous concepts

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".

n_1 = 19 sample size 1

n_2 = 19 sample size 2

\\bar X_1 = 16.2 sample mean for group 1

\\bar X_2 = 14.2 sample mean for group 2

s_1 = 4.5 sample deviation for group 1

s_2 = 3.1 sample deviation for group 2

Solution to the problem

For this case the confidence interval is given by:

(\bar X_1 -\bar X_2) \pm t_{\alpha/2} \sqrt{\frac{s^2_1}{n_1} +\frac{s^2_2}{n_2}}

And the degrees of freedom are given by:

df = n_1 +n_2 -2 = 19+19 -2= 36

We want a 95% of confidence o then the significance level is 1-0.95 =0.05 and \alpha/2 = 0.025 if we find a critical value in the t distribution with 36 degrees of freedom we got:

t_{cric} =2.03

And replacing we got:

(16.2-14.1) -2.03 \sqrt{\frac{4.5^2}{19} +\frac{3.1^2}{19}} = -0.445

(16.2-14.1) +2.03 \sqrt{\frac{4.5^2}{19} +\frac{3.1^2}{19}} = 4.645

5 0
3 years ago
What is the value of x?
svlad2 [7]

Answer:

you need a d/protector to do this

Step-by-step explanation:

4 0
3 years ago
HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP
balu736 [363]

Answer:

ok, so two to the 19th power is 524,288, 2 to the 5th power is 32. 524,228 x 32=16,775,296.

2 to the 12th power is 4096, 3 to the 3rd power is 8, 4096 x 8=32,768.

16,775,296/32,768

after that just simplify.

hopefully my answ helps, i think i did it correctly, my brain is ded

4 0
3 years ago
Read 2 more answers
The sum of three consecutive even numbers is 114 what's the smallest of these numbers​
laila [671]

Answer:

36

Step-by-step explanation:

consecutive even numbers are 2,4, 6...

Let the smallest of the 3 numbers be x.

2nd number= x+2

3rd number

=x+2+2

= x+4

sum of the 3 numbers= x +x+2 +x+4

114= 3x+6

3x= 114 -6 (-3 on both sides)

3x= 108 (simplify)

x= 108 ÷3

x= 36

Thus, the smallest number is 36.

Let's check!

36+38+40= 114 ✓

8 0
3 years ago
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