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Katena32 [7]
3 years ago
15

Pens cost $2.70. What is the cost per pen?

Mathematics
1 answer:
muminat3 years ago
5 0

Answer:

1.70$

Step-by-step explanation:

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Use the standard norml distribution or the t-distribution to construct a 99% confidence interval for the population mean. Justif
dalvyx [7]

Answer:

E) we will use t- distribution because is un-known,n<30

the confidence interval is (0.0338,0.0392)

Step-by-step explanation:

<u>Step:-1</u>

Given sample size is n = 23<30 mortgage institutions

The mean interest rate 'x' = 0.0365

The standard deviation 'S' = 0.0046

the degree of freedom = n-1 = 23-1=22

99% of confidence intervals t_{0.01} =2.82  (from tabulated value).

The mean value = 0.0365

x±t_{0.01} \frac{S}{\sqrt{n-1} }

0.0365±2.82 \frac{0.0046}{\sqrt{23-1} }

0.0365±2.82 \frac{0.0046}{\sqrt{22} }

0.0365±2.82 \frac{0.0046}{4.690 }

using calculator

0.0365±0.00276

Confidence interval is

(0.0365-0.00276,0.0365+0.00276)

(0.0338,0.0392)

the mean value is lies between in this confidence interval

(0.0338,0.0392).

<u>Answer:-</u>

<u>using t- distribution because is unknown,n<30,and the interest rates are not normally distributed.</u>

4 0
3 years ago
Find the area of this parallelogram, top= 14 left= 11 right = 10
Kamila [148]

Answer:

140 cm^2

Step-by-step explanation:

Formula for area of a Parallelogram: base*height

14 cm * 10cm = 140 cm^{2}

4 0
3 years ago
A bag contains 5 red, 6 green, 7 yellow, and 8 blue jelly beans. A jelly bean is selected at random. What is the probability tha
Slav-nsk [51]

Answer:

4/13 is the probability does a blue Jelly Bean is selected

Step-by-step explanation:

sample space = sum of all the jelly beans in the bag

sample space =5+6+7+8

sample space =26

probability = Jelly Bean selected / sample space

probability =8/26

probability =4/13

4 0
3 years ago
ABCD is a quadrilateral inscribed in a circle, as shown below:
german

Answer:

  • A. (x + 16) + (6x − 4) = 180

Step-by-step explanation:

Inscribed quadrilateral has opposite angles supplementary.

<u>So</u>

  • m∠A + m∠C = 180°

or

  • m∠B + m∠D = 180°.

<u>Since</u>

  • m∠A = x + 16,
  • m∠B = x,
  • m∠C = 6x - 4,
  • m∠D = 2x + 16

we can use either pair of angle measures to work out the value of x and then find the value of each angle.

<u>We can verify the first option is the only correct one.</u>

  • m∠A + m∠C = 180°
  • (x + 16) + (6x − 4) = 180
3 0
3 years ago
(50 pts) Find the odds in favor of rolling two consecutive odd numbers when a pair of dice is rolled.
Verdich [7]

Answer:

<h3>1/4</h3>

Step-by-step explanation:

Rolling two consecutive odd numbers when a pair of dice is rolled.

There are 3/6 (1, 3, 5) odd numbers on a fair dice.

3/6 = 1/2

The dice is rolled twice.

1/2 × 1/2 = 1/4

3 0
3 years ago
Read 2 more answers
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