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3 years ago

7

If Dana makes 18 calls in 6 hours how many how many calls does she make in 1 hour

2 answers:

balu736 [363]3 years ago

7 0

She can make 3 calls because if u divide 18 by 6 you get a whole number and that is 3 to check the work u can do 6 by 3 and get a whole number,18

alekssr [168]3 years ago

7 0

Answer:

Dana gets 3calls per hour

Step-by-step explanation: divide 18 by 6 because 18 is how many calls and six is how many hours so 18Divided by six equals three that means three calls per hour

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What is the least common denominator for the fractions 5/6 and 4/5 ?

laila [671]

C.30 because if u multiply the denominators you get 30 not the other numbers

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3 years ago

A normal distribution has a standard deviation equal to 39. What is the mean of this normal distribution if the probability of s

Naily [24]

Answer:

The mean is $\mu = 131$

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:

$\sigma = 39$

What is the mean of this normal distribution if the probability of scoring above x = 209 is 0.0228?

This means that when X = 209, Z has a pvalue of 1-0.0228 = 0.9772. So when X = 209, Z = 2.

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

$2 = \frac{209 - \mu}{39}$

$209 - \mu = 2*39$

$\mu = 209 - 78$

$\mu = 131$

The mean is $\mu = 131$

7 0

3 years ago

Simplify and write the trigonometric expression in terms of sine and cosine:

kicyunya [14]

Answer:

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Step-by-step explanation:

(2+tan^2x/sec^2x) -1 =(f(x))^2

=(( 1 + sec^2x)/sec^2x) -1

= 1 / sec^2x + 1 - 1

= 1 / sec^2x

= cos^2x

(f(x))^2 = cos^2x

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3 years ago

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dangina [55]

Answer:

Step-by-step explanation:

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dy/dx = 5x^4(1 + y²)^(3/2)

First, separate the variables

dy/(1 + y²)^(3/2) = 5x^4 dx

Now, integrate both sides

To integrate dy/(1 + y²)^(3/2), use the substitution y = tan(u)

dy = (1/cos²u)du

So,

dy/(1 + y²)^(3/2) = [(1/cos²u)/(1 + tan²u)^(3/2)]du

= (1/cos²u)/(1 + (sin²u/cos²u))^(3/2)

Because cos²u + sin²u = 1 (Trigonometric identity),

The equation becomes

[1/(1/cos²u)^(3/2) × 1/cos²u] du

= cos³u/cos²u

= cosu

Integral of cosu = sinu

But y = tanu

Therefore u = arctany

We then have

cos(arctany) = y/√(1 + y²)

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Is

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5 0

3 years ago

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Lana71 [14]

Answer:

$h(x)=\dfrac{x}{2}+5$

Step-by-step explanation:

You are given the function $f(x)=2x-10$ . To find the inverse function $f^{-1}(x)$ do such steps:

1. Rewrite the function f(x) as

$y=2x-10$

2. Express x in terms of y:

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3. Change x into y and y into x:

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Now, the inverse function is

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7 0

4 years ago

Read 2 more answers