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PIT_PIT [208]
2 years ago
11

If darren wants to get 65 balloons, how many yards of string will he need

Mathematics
1 answer:
Setler [38]2 years ago
5 0
How long are the yards of string though
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Question in picture please help!
EleoNora [17]

Answer:

part a is A and E

Step-by-step explanation:

I had token the test

3 0
2 years ago
Use a calculator to find the square for 7.6​
natita [175]

Answer:

Using a calcuator, 7.6^{2} =57.76

6 0
2 years ago
Read 2 more answers
If B is the midpoint of AC and AB = 4x + 14 and BC = x + 20, determine how long AC is.
Serhud [2]

Answer:

44 units

Step-by-step explanation:

Since B is the mid-point of AC

AB=BC

or,4x+14=x+20

or, 4x-x=20-14

or 3x=6

or,x=6/3=2

AC=AB+BC

= 4x+14+x+20

= 4(2) + 14 +2 +20

= 8+14+22

=44 units

5 0
3 years ago
Read 2 more answers
Pumps A, B, and C operate at their respective constant rates. Pumps A and B, operating simultaneously, can fill a certain tank i
jeka94

Let a,b,c be the time it takes for pumps A, B, and C (respectively) to fill 1 tank. Then

\begin{cases}\dfrac1a+\dfrac1b=\dfrac1{\frac65}=\dfrac56\\\\\dfrac1a+\dfrac1c=\dfrac1{\frac32}=\dfrac23\\\\\dfrac1b+\dfrac1c=\dfrac12\end{cases}

Now,

\left(\dfrac1a+\dfrac1b\right)-\left(\dfrac1a+\dfrac1c\right)=\dfrac56-\dfrac23\implies\dfrac1b-\dfrac1c=\dfrac16

Then

\left(\dfrac1b+\dfrac1c\right)+\left(\dfrac1b-\dfrac1c\right)=\dfrac12+\dfrac16\implies\dfrac2b=\dfrac23\implies b=3

This means

\dfrac1a+\dfrac13=\dfrac56\implies\dfrac1a=\dfrac12\implies a=2

and

\dfrac13+\dfrac1c=\dfrac12\implies\dfrac1c=\dfrac16\implies c=6

Working together, all 3 pumps would operate at a rate of

\dfrac1a+\dfrac1b+\dfrac1c=1

or 1 tank in 1 hour, so the answer is D.

8 0
3 years ago
Scores on an exam follow an approximately Normal distribution with a mean of 76.4 and a standard deviation of 6.1 points. What p
klasskru [66]

Answer:

99.89% of students scored below 95 points.

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 problem, we have that:

\mu = 76.4, \sigma = 6.1

What percent of students scored below 95 points?

This is the pvalue of Z when X = 95. So

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

Z = \frac{95 - 76.4}{6.1}

Z = 3.05

Z = 3.05 has a pvalue of 0.9989.

99.89% of students scored below 95 points.

5 0
3 years ago
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