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BARSIC [14]
3 years ago
12

Amy spent $90 at the store. She spent 1/3 of her money on food, 1/6 of her money on school supplies, and 1/9 of her money on sod

a. How much did she spend on school supplies?
Mathematics
1 answer:
Ket [755]3 years ago
5 0

Given:

Amy spent $90 at the store.

She spent \dfrac{1}{3} of her money on food, \dfrac{1}{6} of her money on school supplies, and \dfrac{1}{9} of her money on soda.

To find:

How much did she spend on school supplies?

Solution:

According to the given information, Amy spend \dfrac{1}{6} of her money on school supplies.

Amy spent $90 at the store. So,

Money spend on school supplies = \dfrac{1}{6}\times 90

                                                        = 15

Therefore, Amy spend $15 on school supplies.

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A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a ne
Leto [7]

Answer:

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.

This means that n = 533, \pi = \frac{351}{533} = 0.6585

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 - 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6247

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 + 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6923

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

6 0
3 years ago
The probability that Carmen will get an A on her math test is 80%, and the probability that she will get an A on her science tes
VLD [36.1K]

Answer:

70%

Step-by-step explanation:

60+80=140

140/2=70

8 0
3 years ago
four friends attended a painting class together. They each paid for a ticket and $15 for food. At the end of the night, the tota
tigry1 [53]

Answer:

The answer is $36.25

Step-by-step explanation:

First minus $15 from $160

=145

second divide by the amount of friends which is four

so 145 divided by 4 equals 36.25

each ticket cost $36.25

6 0
2 years ago
Thanks in advance for the help
lora16 [44]
The answer to this question is D
8 0
3 years ago
Read 2 more answers
How to get 75 using the numbers 7,5,6,and 3 only once
Arte-miy333 [17]
To get 75 using 7, 5, 6, and 3 only once:

= (7+5) * 6 + 3
parentheses first

= 12 * 6 + 3
multiplication before addition

= 72 + 3
= 75

Without being given any constraints, I'm assuming multiplication and addition were allowed.

Hope this helps! :)
3 0
3 years ago
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