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3 years ago

13

The overnight low temperature in Cassidy City was -27 Fahrenheit. The overnight low temperature in Shakerville was -6 Fahrenheit

. How much warmer was shakerville than Cassidy City?

1 answer:

koban [17]3 years ago

6 0

Answer:

Shakerville 21° warmer

Step-by-step explanation:

-27 + -6 = 21

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Can someone plz help me

Pie

Answer:

41 degrees

Step-by-step explanation:

All three angles in a triangle must add up to 180 degrees. The picture already tells you that B is 63 degrees. This means A and C should both add up 117 degrees. If A is 2x+8 and B is x+7, then A+B is 3x+15. This means that 3x+15 is equal to 117 degrees.

3x + 15 = 117
3x = 117 - 15
3x = 102
x = 102/3
x = 34

Now that we know that x is 34, we plug it in. X + 7 becomes 34 + 7 degrees which is equal to 41 degrees.

7 0

2 years ago

Find the quotient. Simplify if possible -6/10 + (-5/7)

Zepler [3.9K]

Answer: The correct answer is $\frac{21}{25}$

Step-by-step explanation:

To find a quotient, we need to divide the two numbers. The equation given to us is :

$\frac{-6}{10}\div \frac{-5}{7}$

To Simplify the above equation and finding out the quotient, we need to divide the above equation, we get:

$\Rightarrow \left(\frac{\frac{-6}{10}}{\frac{-5}{7}}\right)$

Taking the reciprocal of the denominator and multiplying it with the numerator, we get:

$\Rightarrow \frac{-6}{10}\times \frac{7}{-5}\\\\\Rightarrow \frac{42}{50}\\\\\Rightarrow \frac{21}{25}$

Hence, the correct answer is $\frac{21}{25}$

5 0

2 years ago

one bus leaves a stop every 12 minutes. a second bus leaves the same stop every 18 minutes. if they both leave at 3:20 at what t

Murljashka [212]

3:56 is the time they will leave together again

8 0

3 years ago

Find the exact value of the trigonometric expression given that sin(u) = − 3 5 , where 3π/2 < u < 2π, and cos(v) = 15 17 ,

statuscvo [17]

Answer:

-13/84

Step-by-step explanation:

Calculation to Find the exact value of the trigonometric expression

First step is to find tan(u)

Based on the information given we were told that sin(u) = -3/5 which means if will have -3/5 in the 4th quadrant would have triangle 3-4-5

Hence:

tan(u)=-3/4

Second step is to calculate tan(v)

In a situation where cos(v) is 15/17 which means that we would have triangle 8-15-17

Hence:

tan(v) = 8/15

Now Find the exact value of the trigonometric expression using this formula

tan(u+v) = (tan(u) + tan(v))/(1-tan(u)tan(v)

Where,

tan(u)=-3/4

tan(v)=8/15

Let plug in the formula

tan(u+v)=(-3/4)+(8/15)÷[1-(-3/4)(8/15]

tan(u+v)=(-45+32)÷(60-24)

tan(u+v)=-13/84

Therefore exact value of the trigonometric expression will be -13/84

8 0

2 years ago

Suppose a large consignment of cell phones contained 19% defectives. If a sample of size 399 is selected, what is the probabilit

deff fn [24]

Answer:

0.88% probability that the sample proportion will differ from the population proportion by more than 5%

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.

For proportions p in a sample of size n, we have that $\mu = p, \sigma = \sqrt{\frac{p(1-p)}{n}}$

In this problem:

$\mu = 0.19, \sigma = \sqrt{\frac{0.19*0.81}{399}} = 0.0191$

What is the probability that the sample proportion will differ from the population proportion by more than 5%?

Less than 0.19 - 0.05 = 0.14 or greater than 0.19 + 0.04 = 0.24. Since the normal distribution is symmetric these probabilities are equal, which means that we can find one of them and multiply by 2. So

Probability of being less than 0.14.

pvalue of Z when X = 0.14. So

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

$Z = \frac{0.14 - 0.19}{0.0191}$

$Z = -2.62$

$Z = -2.62$ has a pvalue of 0.0044

2*0.0044 = 0.0088

0.88% probability that the sample proportion will differ from the population proportion by more than 5%

3 0

2 years ago