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tatyana61 [14]
2 years ago
8

What is equivalent to 1/4 x 12.

Mathematics
2 answers:
erastovalidia [21]2 years ago
8 0

Answer:

3 is the answer.

Step-by step explanation:

1/4 x 12

=> 1 x 3

=> 3

Therefore, 3 is the answer.

Hoped this helped.

pochemuha2 years ago
8 0

\dfrac 14 \times 12 \\\\\\=\dfrac{12}{4}\\\\\\=\dfrac{3 \times 4}4\\\\=3

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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
The larger of two numbers is 7 times the smaller number. Three times the larger number is 7 more than 4 times the smaller number
Juliette [100K]

Let the smaller number be x.

Given, the larger number is 7 times the smaller number.

So, the larger number = 7x.

Given, 3 times the larger number is 7 more than 4 times the smaller number.

So we can write the equation as,

3(7x) = 4(x)+7

3(7x) = 4x+7

21x = 4x+7

Now we have to move 4x to the left side by subtracting 4x from both sides.

21x-4x = 4x-4x+7

21x-4x = 7

17x = 7

To get x, we will divide both sides by 17. We will get,

\frac{17x}{17} = \frac{7}{17}

x = \frac{7}{17}

So the smaller number = \frac{7}{17}

The larger number = 7(\frac{7}{17} ) = \frac{49}{17}

So we have got the required numbers.

Smaller number = \frac{7}{17} and larger number = \frac{49}{17}.

4 0
3 years ago
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Answer:

A,D

Step-by-step explantion

A,d

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3 years ago
Linear equations assignment:
Daniel [21]

Answer:

20 laps

Step-by-step explanation:

2 times = +1 dollars for Paula, +0.50 dollars for Jacki

Try multiplying it the least amount of times to Paula can have more and so 20 times and Paula will have 20 dollar sand Jacki will have 19.75, therefore she needs to do 20 laps.

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3 years ago
What is the greatest common factor of 62 and 82? Use prime factorization solve.
Kobotan [32]
62=2×31
82=2×41
so the answer is 2
8 0
3 years ago
Read 2 more answers
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