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RSB [31]
3 years ago
12

Write the expression in terms of cosine.please help.

Mathematics
1 answer:
Aleks04 [339]3 years ago
4 0

Answer:

cos13°

Step-by-step explanation:

Using the cofunction identity

sinx° = cos(90 - x)°

sin77° = cos(90 - 77)° = cos13°

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There are 100 pennies in a dollar. What fraction of a dollar is 61 pennies? Write it as a fraction, as a decimal,and in word for
Solnce55 [7]

Answer:

61/100 .61 sixty one cents

Step-by-step explanation:

8 0
3 years ago
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When you buy an item on which sales tax is charged,the total cost is calculated by the formula T=P+s/100p where T is the total c
Gennadij [26K]

Given:

The formula for total cost is

T=p+\dfrac{s}{100}p

where, p is the price of item and s is the sales tax rate (as a percent).

You pay $14.77 for an item priced at $14.

To find:

The the tax rate.

Solution:

You pay $14.77 for an item priced at $14. So,

Total cost (T) = $14.77

Price of item (p) = $14

Putting T=14.77 and p=14 in given formula, we get

14.77=14+\dfrac{s}{100}(14)

14.77-14=\dfrac{s}{100}(14)

0.77=\dfrac{s}{100}(14)

Multiply both sides by 100.

77=14s

Divide both sides by 14.

\dfrac{77}{14}=s

5.5=s

Therefore, the tax rate is 5.5%.

7 0
3 years ago
What is 5.756565x 344
qaws [65]
1980.25836 is the answer
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3 years ago
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Bobby read a total of 20 books over 2 months. If Bobby has read 90 books so far, how many months has he been with his book club?
tatuchka [14]

Step 1

From the question;

\begin{gathered} Bobby\text{ reads 20 books in 2 months} \\  \end{gathered}

We are required to find how many months it will take him to read 90 books

Step 2

We will use the ratio below to solve the problem.

\begin{gathered} \frac{20\text{ books}}{90\text{ books}}=\frac{2months}{x} \\ x=months\text{ to read 90books} \\ x=\frac{90\times2}{20} \\ x=9\text{ months} \end{gathered}

Answer; It will take Bobby 9months to read 90 booj

9\text{ months}

8 0
11 months ago
Consider the population of all 1-gallon cans of dusty rose paint manufactured by a particular paint company. Suppose that a norm
Artemon [7]

Answer:

a) 0.5.

b) 0.8413

c) 0.8413

d) 0.6826

e) 0.9332

f) 1

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 = 6, \sigma = 0.2

(a) P(x > 6) =

This is 1 subtracted by the pvalue of Z when X = 6. So

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

Z = \frac{6-6}{0.2}

Z = 0

Z = 0 has a pvalue of 0.5.

1 - 0.5 = 0.5.

(b) P(x < 6.2)=

This is the pvalue of Z when X = 6.2. So

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

Z = \frac{6.2-6}{0.2}

Z = 1

Z = 1 has a pvalue of 0.8413

(c) P(x ≤ 6.2) =

In the normal distribution, the probability of an exact value, for example, P(X = 6.2), is always zero, which means that P(x ≤ 6.2) = P(x < 6.2) = 0.8413.

(d) P(5.8 < x < 6.2) =

This is the pvalue of Z when X = 6.2 subtracted by the pvalue of Z when X  5.8.

X = 6.2

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

Z = \frac{6.2-6}{0.2}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 5.8

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

Z = \frac{5.8-6}{0.2}

Z = -1

Z = -1 has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

(e) P(x > 5.7) =

This is 1 subtracted by the pvalue of Z when X = 5.7.

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

Z = \frac{5.8-6}{0.2}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

1 - 0.0668 = 0.9332

(f) P(x > 5) =

This is 1 subtracted by the pvalue of Z when X = 5.

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

Z = \frac{5-6}{0.2}

Z = -5

Z = -5 has a pvalue of 0.

1 - 0 = 1

5 0
3 years ago
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