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Anna007 [38]
3 years ago
7

Which equation has infinitely many solutions?

Mathematics
1 answer:
SpyIntel [72]3 years ago
5 0
The answer is b the second one
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1. The national mean (μ) IQ score from an IQ test is 100 with a standard deviation (s) of 15. The dean of a college wants to kno
Nat2105 [25]

Answer:

We conclude that the mean IQ of her students is different from the national average.

Step-by-step explanation:

We are given that the national mean (μ) IQ score from an IQ test is 100 with a standard deviation (s) of 15.

The dean of a college want to test whether the mean IQ of her students is different from the national average. For this, she administers IQ tests to her 144 students and calculates a mean score of 113

Let, Null Hypothesis, H_0 : \mu = 100 {means that the mean IQ of her students is same as of national average}

Alternate Hypothesis, H_1 : \mu\neq 100  {means that the mean IQ of her students is different from the national average}

(a) The test statistics that will be used here is One sample z-test statistics;

               T.S. = \frac{Xbar-\mu}{\frac{s}{\sqrt{n} } } ~ N(0,1)

where, Xbar = sample mean score = 113

              s = population standard deviation = 15

             n = sample of students = 144

So, test statistics = \frac{113-100}{\frac{15}{\sqrt{144} } }

                             = 10.4

Now, at 0.05 significance level, the z table gives critical value of 1.96. Since our test statistics is more than the critical value of z which means our test statistics will fall in the rejection region and we have sufficient evidence to reject our null hypothesis.

Therefore, we conclude that the mean IQ of her students is different from the national average.

3 0
3 years ago
Find the slope between the<br> following points:<br> (-1,19) and (11,16)
patriot [66]

Answer:

Slope =-1/4

Step-by-step explanation:

y=mx+n

Slope=m=(y2-y1)/(x2-x1)

A(-1,19).... x1 =-1, y1=19

B(11,16)..... x2=11, y2=16

Slope=(16-19)/(11-(-1))=(-3)/(11+1)=-3/12=-1/4

4 0
3 years ago
Read 2 more answers
6/(x+1)-5/2=6/(3x+3)
jolli1 [7]
If you would like to calculate 6/(x+1)-5/2=6/(3x+3), you can do this using the following steps:

6/(x+1)-5/2=6/(3x+3)
6/(x+1)-5/2=6/(3(x+1))      /*(x+1)
6 - 5/2 * (x+1) = 6/3
6 - 2 = 5/2 * (x+1)
4 = 5/2 * (x+1)     /*2/5
4 * 2/5 = x + 1
8/5 - 1 = x
x = 8/5 - 5/5 = 3/5

The correct result would be 3/5.
6 0
3 years ago
I need help on this equation i need to pass the test
emmasim [6.3K]

Answers: x=2 and x=-3

6 0
3 years ago
Bert can paddle his kayak at a maximum speed of 270metersperminute. If he paddles across a lake at one-third of his top speed fo
nikdorinn [45]

Answer:

4

Step-by-step explanation:

8 0
2 years ago
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