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Nitella [24]
2 years ago
9

F

Mathematics
1 answer:
Burka [1]2 years ago
6 0

Answer:

12

Step-by-step explanation:

F \alpha \frac{1}{d^{2} }

F = \frac{K}{d^{2} }

When F = 18; d = 2

18 = \frac{K}{2^{2} }

18 = \frac{K}{4}

Cross multiply;

18 x 4 = K

72 = K

There the equation connecting F and d^{2} is

F = \frac{72}{d}

Now, Find F when d = 6

All you do is to substitute d = 6 in to F = \frac{72}{d}

F = \frac{72}{6}

Therefore;

F = 12

Please mark me brainiest if correct.

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A basketball team has five players how many different teams can be formed from 15 people if position doesn't matter
luda_lava [24]

Answer: 15•5= 75

Step-by-step explanation:

8 0
3 years ago
You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. You sample 30 nigh
kirill [66]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean GPA of night students and μ2 be the mean GPA of day students.

The random variable is μ1 - μ2 = difference in the mean GPA of night students and the mean GPA of day students.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 ≠ μ2 H1 : μ1 - μ2 ≠ 0

This is a two tailed test.

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 2.35

μ2 = 2.58

s1 = 0.46

s2 = 0.47

n1 = 30

n2 = 25

t = (2.35 - 2.58)/√(0.46²/30 + 0.47²/25)

t = - 1.8246

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [0.46²/30 + 0.47²/25]²/[(1/30 - 1)(0.46²/30)² + (1/25 - 1)(0.47²/25)²] = 0.00025247091/0.00000496862

df = 51

We would determine the probability value from the t test calculator. It becomes

p value = 0.0746

Since alpha, 0.05 < than the p value, 0.0746, then we would fail to reject the null hypothesis.

3 0
3 years ago
Which is the same? please help​
defon

Answer: The answer is D

Step-by-step explanation: BRAINLIEST PLS

3 0
3 years ago
The circumference of a dime is 56.52 mm find the diameter
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Circumference= pi × d
So
d= circumference/pi
So to find out the diameter, just do 56.52/pi= 17.99mm (2 d.p.)
3 0
3 years ago
Read 2 more answers
An education firm measures the high school dropout rate as the percentage of 16 to 24 year olds who are not enrolled in school a
posledela

Answer:

The value of the test statistic z = -0.6606

Step-by-step explanation:

From the question we are told that

      The high dropout rate is \mu  = 6.1%  = 0.061

      The  sample size is  n = 1000

       The  number of dropouts x = 56

       The probability of having a dropout in 1000 people  \= x  = \frac{56}{1000}  =  0.056

Now setting up Test Hypothesis

 Null  H_o :  p = 0.061

 Alternative  H_a : p < 0.061        

The Test statistics is mathematically represented as

                 z = \frac{\= x - p}{\sqrt{\frac{p(1 -p)}{n} } }

substituting values

               z = \frac{0.056 - 0.061}{\sqrt{\frac{0.061(1 -0.061)}{1000} } }

               z = -0.6606

6 0
2 years ago
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