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tino4ka555 [31]
1 year ago
14

A large party balloon is being filled with helium at a constant rate. After 8 seconds, there is 2.5L of helium in the balloon.

Mathematics
1 answer:
raketka [301]1 year ago
7 0

Answer:

32 seconds

Step-by-step explanation:

first 8 secknds gives us the value of set 2.5l

2.5L to make 10 =

10÷2.5=4

That said 2.5L fills 1pL by 4 giving us;

4×2.5= 10L

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Kisachek [45]
The correct answer is a) $382.50.

He works 3 events and averages 150 pretzels; this is 3(150) = 450 pretzels.  Since his cost is $0.85 each, we have
450(0.85) = 382.50
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3 years ago
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(7-15-3+5-7)×1 step by step​
Tresset [83]

Answer:

-13

Step-by-step explanation:

(7−15−3+5−7)⋅1

Subtract 15 from 7 to get −8.

(−8−3+5−7)×1

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6 0
2 years ago
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PLEASE HELP!! Identify the minium value of the function
timama [110]
Because this is a positive parabola, it opens upwards, like a cup, and the vertex dictates what the minimum value of the function is.  In order to determine the vertex, I recommend completing the square.  Do that by first setting the function equal to 0 and then moving the 9 to the other side by subtraction.  So far: x^2+6x=-9.  Now, to complete the square, take half the linear term, square it, and add that number to both sides.  Our linear term is 6.  Half of 6 is 3 and 3 squared is 9.  So add 9 to both sides. x^2+6x+9=-9+9.  The right side reduces to 0, and the left side simplifies to the perfect square binomial we created while completing this process.  (x+3)^2=0.  Move the 0 back over and the vertex is clear now.  It is (-3, 0).  Therefore, 0 is the minimum point on your graph.  The first choice above is the one you want.
3 0
3 years ago
48. Reading Rates The reading speed of sixth-grade students is approximately normal, with a mean speed of 125 words per minute a
son4ous [18]

Answer:

The reading speed of a sixth-grader whose reading speed is at the 90th percentile is 155.72 words per minute.

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 = 125, \sigma = 24

What is the reading speed of a sixth-grader whose reading speed is at the 90th percentile

This is the value of X when Z has a pvalue of 0.9. So it is X when Z = 1.28.

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

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alukav5142 [94]
The answers are:
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