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guajiro [1.7K]
2 years ago
12

Fred jumped into a lake from a rock 7 feet above the surface of the water. He sank five feet into the water and continued to swi

m down two additional feet.
•Sophie stated that the total distance would be 0 because the heights were additive inverses of each other.
•Jake disagrees and thinks that Fred covered 14 feet. He found his answer using a number line.
Do you agree with Sophie or Jake?
Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
3 0

Answer:

Sophie

Step-by-step explanation:

Jake is wrong because when he jump he was out of the water and you're supposed to count what he swam in the water so Sophie is correct.

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Help please.
Veseljchak [2.6K]
1) multiply price per pound by number of pounds.

1.73/lb * 2.6 pounds= $4.498= $4.50

ANSWER: C) $4.50


2) set up a proportion. 494 is what % out of 520 as x is what out of 100.

$494/$520= x/100
cross multiply
(494*100)= (520*x)
49400= 520x
divide both sides by 520
95%= x

ANSWER: D) 95%

Hope this helps! :)
5 0
3 years ago
A fabric manufacturer believes that the proportion of orders for raw material arriving late isp= 0.6. If a random sample of 10 o
ryzh [129]

Answer:

a) the probability of committing a type I error if the true proportion is p = 0.6 is 0.0548

b)

- the probability of committing a type II error for the alternative hypotheses p = 0.3 is 0.3504

- the probability of committing a type II error for the alternative hypotheses p = 0.4 is 0.6177

- the probability of committing a type II error for the alternative hypotheses p = 0.5 is 0.8281

Step-by-step explanation:

Given the data in the question;

proportion p = 0.6

sample size n = 10

binomial distribution

let x rep number of orders for raw materials arriving late in the sample.

(a) probability of committing a type I error if the true proportion is  p = 0.6;

∝ = P( type I error )

= P( reject null hypothesis when p = 0.6 )

= ³∑_{x=0 b( x, n, p )

= ³∑_{x=0 b( x, 10, 0.6 )

= ³∑_{x=0 \left[\begin{array}{ccc}10\\x\\\end{array}\right](0.6)^x( 1 - 0.6 )^{10-x

∝ = 0.0548

Therefore, the probability of committing a type I error if the true proportion is p = 0.6 is 0.0548

b)

the probability of committing a type II error for the alternative hypotheses p = 0.3

β = P( type II error )

= P( accept the null hypothesis when p = 0.3 )

= ¹⁰∑_{x=4 b( x, n, p )

= ¹⁰∑_{x=4 b( x, 10, 0.3 )

= ¹⁰∑_{x=4 \left[\begin{array}{ccc}10\\x\\\end{array}\right](0.3)^x( 1 - 0.3 )^{10-x

= 1 - ³∑_{x=0 \left[\begin{array}{ccc}10\\x\\\end{array}\right](0.3)^x( 1 - 0.3 )^{10-x

= 1 - 0.6496

= 0.3504

Therefore, the probability of committing a type II error for the alternative hypotheses p = 0.3 is 0.3504

the probability of committing a type II error for the alternative hypotheses p = 0.4

β = P( type II error )

= P( accept the null hypothesis when p = 0.4 )

= ¹⁰∑_{x=4 b( x, n, p )

= ¹⁰∑_{x=4 b( x, 10, 0.4 )

= ¹⁰∑_{x=4 \left[\begin{array}{ccc}10\\x\\\end{array}\right](0.4)^x( 1 - 0.4 )^{10-x

= 1 - ³∑_{x=0 \left[\begin{array}{ccc}10\\x\\\end{array}\right](0.4)^x( 1 - 0.4 )^{10-x

= 1 - 0.3823

= 0.6177

Therefore, the probability of committing a type II error for the alternative hypotheses p = 0.4 is 0.6177

the probability of committing a type II error for the alternative hypotheses p = 0.5

β = P( type II error )

= P( accept the null hypothesis when p = 0.5 )

= ¹⁰∑_{x=4 b( x, n, p )

= ¹⁰∑_{x=4 b( x, 10, 0.5 )

= ¹⁰∑_{x=4 \left[\begin{array}{ccc}10\\x\\\end{array}\right](0.5)^x( 1 - 0.5 )^{10-x

= 1 - ³∑_{x=0 \left[\begin{array}{ccc}10\\x\\\end{array}\right](0.5)^x( 1 - 0.5 )^{10-x

= 1 - 0.1719

= 0.8281

Therefore, the probability of committing a type II error for the alternative hypotheses p = 0.5 is 0.8281

3 0
2 years ago
Can somebody please help I would appreciate it very much
diamong [38]

Answer is

Step-by-step explanation:

in y =mx+b form its y=2/5x + the y

3 0
3 years ago
Answer number 4,6,7,8
Neko [114]

4. 0.15(with a bar on 15)

6. B,D

7. ...haha...refer to the attachment plzz..:P I don't wanna type too much...

12. 1331

13. 2.56

3 0
2 years ago
Can u help me w this
Law Incorporation [45]

Answer:

a) 15, b) 36

Step-by-step explanation:

5 0
3 years ago
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