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laila [671]
2 years ago
9

Simplify the ratio : 35 minutes to 45 seconds ​

Mathematics
1 answer:
IceJOKER [234]2 years ago
6 0

Answer:

7:9

Step-by-step explanation:

Just divide 35 and 45 by 5.

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According to the U.S. Department of Agriculture, the average American consumed 54.3 pounds (ap- proximately seven gallons) of sa
sladkih [1.3K]

Answer:

a) 0.11%

b) 55.99%

c) 0.25%

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of 54.3 pounds and a standard deviation of 14.5 pounds.

This means that \mu = 54.3, \sigma = 14.5

1. What percentage of Americans' annual salad and cooking oil consumption is less than 10 pounds?

The proportion is the pvalue of Z when X = 10. So

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

Z = \frac{10 - 54.3}{14.5}

Z = -3.06

Z = -3.06 has a pvalue of 0.0011

0.0011*100% = 0.11%.

2. What percentage of Americans' annual salad and cooking oil consumption is between 35 and 60?

The proportion is the value of Z when X = 60 subtracted by the pvalue of Z when X = 35.

X = 60

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

Z = \frac{60 - 54.3}{14.5}

Z = 0.39

Z = 0.39 has a pvalue of 0.6517

X = 35

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

Z = \frac{35 - 54.3}{14.5}

Z = -1.33

Z = -1.33 has a pvalue of 0.0918

0.6517 - 0.0918 = 0.5599

0.5599*100% = 55.99%

3. What percentage of Americans' annual salad and cooking oil consumption is more than 95 pounds?

The proportion is 1 subtracted by the pvalue of Z when X = 95.

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

Z = \frac{95 - 54.3}{14.5}

Z = 2.81

Z = 2.81 has a pvalue of 0.9975

1 - 0.9975 = 0.0025

0.0025*100% = 0.25%

8 0
2 years ago
What is the area of the figure
Tomtit [17]
A²+b²=c²
a=b because it has 2 45° angles and one 90 so it is isosceles right triangle

∴ a² + a² = c²
2a²=24²
2a²=576
a²=288
a=√288
a=16.97056275

Therefore. With A=1/2bh
A=(1/2) * 16.97056275 * 16.97056275
   = (1/2) * 288
   = 144

144 ft²
4 0
2 years ago
Solve for t.<br><br>3/4t = 1/4
Vlad1618 [11]
I hope this helps you

3 0
3 years ago
Serena’s average speed during her training run was 8 kilometers per hour over the 2 hours that she ran. What was the total dista
kogti [31]
D=rt
d= 8 x 2
d = 16 km

<span>D. 16 km</span>
7 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!! A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line?
Evgesh-ka [11]

Answer:

A, y = 3x/2 - 12

Step-by-step explanation:

Use the equation y = mx + b.

m = 3/2

b = -12

y = 3x/2 - 12

7 0
2 years ago
Read 2 more answers
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