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3 years ago

Your friends borrowed 5 different movies from the library. In how many different orders can they watch the movies?

1 answer:

8 0

Imagine there are 5 slots A through E

Slot A can be filled with 5 choices
Slot B can be filled with 4 choices (once you pick a movie you can't pick it again)
Slot C has 3 choices
Slot D has 2 choices
Slot E has 1 choice

In total, there are 5*4*3*2*1 = 120 different ways to order the movies

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A random sample of 23 items is drawn from a population whose standard deviation is unknown. The sample mean is x⎯⎯ = 770 and the

zhannawk [14.2K]

Answer:

For α=0.01 and two-tailed test: t=2.8188

For α=0.025 and two-tailed test: t=2.4055

For α=0.05 and two-tailed test: t=2.0739

For α=0.10 and two-tailed test: t=1.7171

Step-by-step explanation:

In this problem, we have to estimate the value of the statistic "t" of a sample of size n=23 (22 degrees of freedom), in which the sample mean is M=770 and the sample standard deviation is s=25.

The estimated standard deviation is

$s_M=s/\sqrt{N}=25/\sqrt{23} =5.21$

The critical values of the statistic t depends on the significance level:

The degree of freedom is known: df=22.

For α=0.01 and two-tailed test: t=2.8188

For α=0.025 and two-tailed test: t=2.4055

For α=0.05 and two-tailed test: t=2.0739

For α=0.10 and two-tailed test: t=1.7171

8 0

3 years ago

Pls help I need a good grade

choli [55]

Answer:

-8

Step-by-step explanation:

-40/5=-8

6 0

3 years ago

A blackboard has an area of 28 and a perimeter of 22 ft. What are the dimensions of the board?

Alex787 [66]

Answer:

the ancer is c

Step-by-step explanation:

Answer:

Option (c) is correct.

Dimension of board is 4 ft by 7 ft.

Step-by-step explanation:

Given : A blackboard has an area of 28 feet squared and a perimeter of 22 ft.

We have to find the dimension of blackboard and choose the correct option from given options.

Since blackboard is in shape of rectangle thus,

Area of blackboard is 28 feet²

That is, Area of rectangle = 28 feet²

We know Area of rectangle = length × Breadth

substitute, we get,

28 = length × Breadth ......(1)

Also, Perimeter of blackboard is 22 feet.

That is, Perimeter of rectangle = 22 feet

We know, Perimeter of rectangle = 2 (length + Breadth)

substitute, we get,

22 = 2 (length + Breadth)

11 = (length + breadth) ........(2)

Let length be l and breadth be b

Solving (1) and (2) ,

from (2)

b = 11 - l ..(3)

put (3) in (1) , we get,

28 = L (11 - L)

Multiply, we get,

Solving above quadratic equation using middle term split method, we get,

Solving, e get,

Using zero product property, we get,

and

We get ,

and

Thus, length can be 4ft or 7 ft

Substitute, L in (3) , we get,

b = 11 - 4 = 7 ft

b = 11 - 7 = 4 ft

Thus, Dimension of board is 4 ft by 7 ft.

Option (c) is correct. hope it helped <3

5 0

4 years ago

Read 2 more answers

How long does it take for the speed of light to get from the sun to mars

Dimas [21]

Answer:

Step-by-step explanation:

The planet Mars is about 141.6 million miles away from the Sun. The speed of light is about 186,000 miles per second. It would take approximately 761 seconds (or 12 minutes and 41 seconds) for light to get from the Sun to Mars.

4 0

3 years ago

Read 2 more answers

Alexis bought 2 bags of apples for the fruit salad for her party. Each bag contained 13 apples. If she cuts each apple into 8 pi

Lerok [7]

Answer:

13*8=104

104*2=

Step-by-step explanation:

4 0

3 years ago