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spin [16.1K]
3 years ago
12

Allison goes to the store with $100. She buys the same gift for 7 of her friends. She has $16 dollars left. How much did each gi

ft cost.
Mathematics
1 answer:
Virty [35]3 years ago
7 0

Answer:

$12

Step-by-step explanation:

Since she has $16 left, this means she spent $84. ($100-$16=$84)

Then, since she bought the same give for 7 of her friends, divide:

84/7=12.

This means that each gift cost $12.

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The amount of energy associated with a production of bottled water is approximately Normal with a mean of 8.7 million Joules and
aniked [119]

Answer:

At most 9.12 joules should be required for the bottom 80% of bottled water

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 8.7, \sigma = 0.5

How much energy should be required for the bottom 80% of bottled water?

At most the 80th percentile.

The 80th percentile is X when Z has a pvalue of 0.8. So it is X when Z = 0.84.

Z = \frac{X - \mu}{\sigma}

0.84 = \frac{X - 8.7}{0.5}

X - 8.7 = 0.84*0.5

X = 9.12

At most 9.12 joules should be required for the bottom 80% of bottled water

5 0
4 years ago
Which statement best describes a chord of a circle?
Ugo [173]
<span>A chord of a circle is a straight line segment whose endpoints both lie on the <span>circle
</span></span><span> The statement  that best describes a chord of a circle is 
</span>It is a segment that connects two distinct points on a circle
so the correct option is c
hope it helps
6 0
4 years ago
Write the equation of a sine function that has the following characteristics.
slava [35]

Answer:

\displaystyle y = 7\sin(9\pi(x +   {1}/{4}) )

Step-by-step explanation:

we are given

  • Amplitude:7
  • Period:9π
  • Phrase shift:¼

remember that,

\displaystyle y = A \sin(B(x + C) )+ D

where A is the Amplitude

B is the Period

C is the Phase shift

D is the vertical shift

note that, since D isn't given we'll take it 0

altogether substitute:

\displaystyle y = 7\sin(9\pi(x +   {}^{1}/_{4}) )+ 0

hence,

our equation is

\displaystyle y = 7\sin(9\pi(x +   {}^{1}/_{4}) )

and we are done!

5 0
3 years ago
Read 2 more answers
Evaluate \frac{7a+b}{b+c} if a=2,b=6,c=4
bezimeni [28]

Answer:

30

Step-by-step explanation:

1. 7 times 2 is 14 + 6 is 20

2. Add 6 + 4 is 10

2. Add 20 and 10, u get 30

Hope this helps, Good Luck!

8 0
4 years ago
Read 2 more answers
From home, Corinne travels 126 feet north, then 168 feet east. How many feet is she from home?
harina [27]

Answer:

b

Step-by-step explanation:

126+168=294 so the answer is b

3 0
3 years ago
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