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e-lub [12.9K]
3 years ago
13

Henry has 12 diamonds of the same shape and size in a bowl.how many diamonds represent 3/4 of the bowl

Mathematics
1 answer:
zhuklara [117]3 years ago
7 0

Answer:

9

Step-by-step explanation:

12 divided by 4=3 3X3=9

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A sample of 114 mortgages approved during the current year showed that 36 were issued to a single-earner family or individual. T
kodGreya [7K]

Answer:

a-1) Reject H0 if zcalc > 1.645

a-2) z=\frac{0.316 -0.28}{\sqrt{\frac{0.28(1-0.28)}{114}}}=0.8561  

a-3) ii. False

b) ii. No

c) iii. n π > 10 and n(1 − π ) > 10

Step-by-step explanation:

1) Data given and notation

n=114 represent the random sample taken

X=36 represent the people that were issued to a single-earner family or individual

\hat p=\frac{36}{114}=0.316 estimated proportion of people that were issued to a single-earner family or individual

p_o=0.28 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

(a-1) H0: π ≤ .28 versus H1: π > .28. Choose the right option. Reject H0 if zcalc > 1.645 Reject H0 if zcalc < 1.645 a b

We need to conduct a hypothesis in order to test the claim that the true proportion is less than 0.28.:  

Null hypothesis:p\geq 0.28  

Alternative hypothesis:p < 0.28  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

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

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

The rejection zone would be on this case :

Reject H0 if zcalc > 1.645

Since is a right tailed test

(a-2) Calculate the test statistic. (Round intermediate calculations to 2 decimal places. Round your answer to 4 decimal places.) Test statistic

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.316 -0.28}{\sqrt{\frac{0.28(1-0.28)}{114}}}=0.8561  

(a-3) The null hypothesis should be rejected.

False, since our calculated value is less than our critical value we Fails to reject the null hypothesis

(b) Is this a close decision?

False the calculated value is significantly less than the critical value so we FAIL to reject the null hypothesis with enough confidence.

(c) State any assumptions that are required.

In order to satisfy the conditions we need the following two requirements:

iii. n π > 10 and n(1 − π ) > 10

And are satisfied:

114*0.28=31.92>10

114(1-0.28)=82,08>10

7 0
3 years ago
What is 5z^3+5z^2-6z-6
DochEvi [55]

Answer: (z + 1) (5z2  -6)

4 0
3 years ago
SERIOUSLY HELPPPPPPPP
AlekseyPX

9514 1404 393

Answer:

  B.

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  • as x decreases,f(x) decreases

Step-by-step explanation:

The function is of even degree with a negative leading coefficient. f(x) will tend toward negative infinity as x gets larger or smaller. That is ...

  • as x increases, f(x) decreases;
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_____

<em>Even degree</em> means the end behaviors are the same for both large and small x. <em>Negative leading coefficient</em> means the function value decreases for larger x.

8 0
3 years ago
Solve: x/3+1/4 =1/3 . Explain your work.
mojhsa [17]

Steps to solve:

x/3 + 1/4 = 1/3

~Subtract 1/4 to both sides

x/3 = 1/12

~Multiply 3 to both sides

x = 1/4

Best of Luck!

5 0
2 years ago
Jhon can solve 6 math problems in 20 minutes while another student, Juaqine, can solve the same 6 math problems at a rate of 1 p
ASHA 777 [7]

Answer:

  Jhon

Step-by-step explanation:

At the rate of 4 minutes per problem, it take Juaqine ...

  (4 min/prob)×(6 prob) = 24 min

to solve the problems.

That is more time than it takes Jhon, so Jhon is faster.

3 0
3 years ago
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