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Lelu [443]
3 years ago
13

on a shopping trip, peter spent 1/3 of his money for a jacket and $5 for a hat. If peter still had half of his money left, how m

uch did he have originally?
Mathematics
1 answer:
Leni [432]3 years ago
6 0

Let x represent the money he originally had

\frac{1}{2}x = \frac{1}{3}x + 5

\frac{1}{2}x - \frac{1}{3}x = 5

\frac{3}{6}x - \frac{2}{6}x = 5

\frac{1}{6}x = 5

x = 30

Answer: $30

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Suppose a researcher is testing the hypothesis Upper H 0​: pequals0.4 versus Upper H 1​: pless than0.4 and she finds the​ P-valu
andre [41]

Answer:

D. If the​ P-value for a particular test statistic is 0.33​, she expects results at least as extreme as the test statistic in exactly 33 of 100 samples if the null hypothesis is true.

D. Since this event is not​ unusual, she will not reject the null hypothesis.

Step-by-step explanation:

Hello!

You have the following hypothesis:

H₀: ρ = 0.4

H₁: ρ < 0.4

Calculated p-value: 0.33

Remember: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).

In this case, you have a 33% chance of getting a value as extreme as the statistic value if the null hypothesis is true. In other words, you would expect results as extreme as the calculated statistic in 33 about 100 samples if the null hypothesis is true.

You didn't exactly specify a level of significance for the test, so, I'll use the most common one to make a decision: α: 0.05

Remember:

If p-value ≤ α, then you reject the null hypothesis.

If p-value > α, then you do not reject the null hypothesis.

Since 0.33 > 0.05 then I'll support the null hypothesis.

I hope it helps!

3 0
3 years ago
What is the LCM of 3,5,7
Lubov Fominskaja [6]

Answer:

The least common multiple would be 105.

Step-by-step explanation:

You would do list out the multiples for each. Or multiply

Since 3 x 30 is 90, and 3 x 5  is 15, This is 105

And since 5 x 20 is 100, and 5 x 1 is 5, This is 105 as well

Also, since 7 x 10 is 70, and 7 x 5 is 35, This is 105.

The LCM is 105

Have a great Day!

4 0
3 years ago
Three times the sum of a number and six<br> 3(x=6)<br> 3(x-6)<br> 3(x+6)<br> 3x+6
Stels [109]

Answer:

3(x+6)

Step-by-step explanation:

Parenthesis after a number typically means multiply, so 3 times the sum of an unspecified number (x), plus 6 would be 3 (x+6)

3 0
2 years ago
Can i please get this answer ​ if i get it i can send maths sa1 question paper for 8 th class
vodka [1.7K]

Answer:

なた方やタハアはワタは真綿は他和定や6

Step-by-step explanation:

15-x2/3627

5 0
2 years ago
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