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2 years ago

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What is the area of this quadrilateral? 2 ft 3 ft 8 ft 8 ft 3 ft 2 ft

1 answer:

Alekssandra [29.7K]2 years ago

3 0

Check the picture below.

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Suppose a simple random sample of size nequals81 is obtained from a population with mu equals 79 and sigma equals 18. (a) Descr

Daniel [21]

Answer:

(a) The sampling distribution of $\overline{X}$ = Population mean = 79

(b) P ( $\overline{X}$ greater than 81.2 ) = 0.1357

(c) P ( $\overline{X}$ less than or equals 74.4 ) = .0107

(d) P (77.6 less than $\overline{X}$ less than 83.2 ) = .7401

Step-by-step explanation:

Given -

Sample size ( n ) = 81

Population mean $(\nu)$ = 79

Standard deviation $(\sigma )$ = 18

(a) Describe the sampling distribution of $\overline{X}$

For large sample using central limit theorem

the sampling distribution of $\overline{X}$ = Population mean = 79

(b) What is Upper P ( $\overline{X}$ greater than 81.2 ) =

$P(\overline{X}> 81.2)$ = $P(\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}}> \frac{81.2 - 79}{\frac{18}{\sqrt{81}}})$

= $P(Z> 1.1)$

= $1 - P(Z< 1.1)$

= 1 - .8643 =

= 0.1357

(c) What is Upper P ( $\overline{X}$ less than or equals 74.4 ) =

$P(\overline{X}\leq 74.4)$ = $P(\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}}\leq \frac{74.4- 79}{\frac{18}{\sqrt{81}}})$

= $P(Z\leq -2.3)$

= .0107

(d) What is Upper P (77.6 less than $\overline{X}$ less than 83.2 ) =

$P(77.6< \overline{X}< 83.2)$ = $P(\frac{77.6- 79}{\frac{18}{\sqrt{81}}})< P(\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}}\leq \frac{83.2- 79}{\frac{18}{\sqrt{81}}})$

= $P(- 0.7< Z< 2.1)$

= $(Z< 2.1) - (Z< -0.7)$

= 0.9821 - .2420

= 0.7401

3 0

3 years ago

A dressmaker needs to cut 18-inch pieces of ribbon from rolls of ribbon that are 6 feet in length. How many 18-inch pieces can t

TiliK225 [7]

Answer: 20 pieces, 72 inches of ribbon

Step-by-step explanation: 6/1.5=4 4x5=20 6x12= 72 inches

4 0

1 year ago

Evaluate the expression for x = 1.7. Enter your answer in the box.<br> x2 + 3x

S_A_V [24]

Answer: 6

Step-by-step explanation:

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2 years ago

Winnona took five chapter tests. The table shows her scores. Test 1 2 3 4 5 Score 95 85 96 97 74 If Winnona retakes Test 5, what

mestny [16]

Answer:

The answer is A.

Step-by-step explanation:

Given that Winnona took 5 tests and retake Test 5. So the mean score for this question is Total number of scores divide by Total number of tests is equals to 87 :

Let Test 5's score be x,

Let mean score be 87,

$\frac{95 + 85 + 96 + 97 + x}{5} = 87$

Next you have to solve the value of x :

$373 + x = 87 \times 5 \\ 373 + x = 435 \\ 373 + x - 373 = 435 - 373 \\ x = 62 \: \: \: scores$

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2 years ago

What is the value of the x variable in the solution to the following system of equations?

Mazyrski [523]

Correct answer is A.

$3x + 2y = 8
\\2x + 3y = 2 
\\
\\9x+6y=24
\\-4x-6y=-4
\\
\\5x=20
\\x=4$

5 0

3 years ago

Read 2 more answers