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3 years ago

The arrow on the spinner is to be spun once. What is the probability that the arrow will stop on 2? A.1/2 B.1/3 C.1/4 D.1/6

Mathematics

1 answer:

lara31 [8.8K]3 years ago

8 0

How many numbers are on there? And how many times does 2 appear on the spinner?

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I need the answer please I don't know it

Vlad1618 [11]

Basically the question is asking you for the area of the triangle.
The formula to find the area of a triangle is base x height divided by 2.
So in this case you would do 27 x 15.5 = 418.5
Now you divide by 2 (209.25)
So the answer is D. Hope this helps!!

6 0

3 years ago

Clare had $48.00 on a gift card for a clothing store. She used it to buy a skirt that cost $27.00. How much is left on the gift

ladessa [460]

Answer: 21.00

Step-by-step explanation: 48-27 = 21

3 0

3 years ago

A population of values has a normal distribution with μ = 202.1 and σ = 24 . You intend to draw a random sample of size n = 64 .

n200080 [17]

Answer: p= 0.0532

Step-by-step explanation: from the question

u= population mean = 202.1

σ= population standard deviation = 24

n = sample size = 64.

Since the sample size is greater than 30 and the population standard deviation is known, then the z score is the appropriate to get the probabilistic value.

Z = (x - u) /(σ/√n)

Where x = sample mean.

At x = 204.5, we have the z score as

Z = 204.5 - 202.1/ (24/√64)

Z = 2.4/ (24/8)

Z = 2.4/ 3

Z = 0.8

At x = 205.1, we have the z score as

Z = 205.1 - 202.1/ (24/√64)

Z = 3/ (24/8)

Z = 3/3

Z = 1.

Since the distribution is normal, we compute the probability value attached to the z score using the z table.

Graphical illustration as attachment in the answer.

Note the area under the z score is the probability value of the z score.

As we can see, the area to the left of the shaded area is a, the shaded area is b and the area to the right of the shaded area is c

We have that

a + b + c = 1

Note, the table I'm using only gives area to the left of the distribution.

Area a

To get area a, we use a z score table whose area is to the left of the distribution.

At 0.8, according to the table the area left of 0.8 is 0.78814.

Area c

Area c is right of the distribution and our table is left of the distribution, but 1 - area to the left = area to the right ( since area to left + area to right =1).

Hence area to the left of 1.0 = 0.84134

Area c = 1 - 0.84134 = 0.15866.

Thus, a = 0.78814, c = 0.15866

a + b + c = 1

0.78814 + b + 0.15866 = 1

0.9468 + b = 1

b = 1 - 0.9468

b = 0.0532.

Hence the probability of random variable between 204.5 & 205.1 is 0.0532

6 0

3 years ago

EVERY BLANKSHALLL BE ANWSERED

Alenkinab [10]

Answer:

0.8

Step-by-step explanation:

9(0.5y+0.4)=590.1y+1.3)+0.3

4.5y+3.6=0.5y+6.5+0.3

4.5y+3.6=0.5y+6.8

4.5y-0.5y=6.8-3.6

4y=3.2

y=0.8

7 0

2 years ago

Use mathematical induction to prove that the statement is true for every positive integer n. 8 + 16 + 24 + . . . + 8n = 4n(n + 1

mezya [45]

First show the statement holds for $n=1$ . The left hand side is just 8, and the right hand side is $4(1)(1+1)=8$ , so it's true.

Assume the statement holds for $n=k$ , i.e.

$8+16+\cdots+8(k-1)+8k=4k(k+1)$

and use this to show it holds for $n=k+1$ , i.e.

$8+16+\cdots+8(k-1)+8k+8(k+1)=4(k+1)(k+2)$

By the assumption above, you have

$\underbrace{8+16+\cdots+8(k-1)+8k}_{n=k}+8(k+1)=4k(k+1)+8(k+1)=4(k+1)(k+2)$

so the statement is true for all $n\ge1$ .

3 0

3 years ago