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3 years ago

What is the value of the expression

Mathematics

2 answers:

podryga [215]3 years ago

6 0

The answer would be 143/30 but u might have to simplify it

charle [14.2K]3 years ago

5 0

5 5/30 is the answer to the question.

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Leila is buying a dinosaur model. The price of the model is x dollars, and she also has to pay a 7% tax. Which of the following

arlik [135]

Answer:

x + 0.07x or 1.07x

Step-by-step explanation:

To find a percent of a number, multiply the decimal form of the percent by the other number.

7% = 7/100 = 0.07

This means 7% of x is 0.07x.

This would give us the amount of tax to be added; the total amount of the same, including tax, would be

x+0.07x

We can also consider this as adding an extra 7% of the cost. This means we would have 100% of the cost with another 7% of the cost; this is

100+7 = 107% of the cost. 107% = 107/100 = 1.07; this gives us 1.07x.

3 0

3 years ago

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Beethoven wrote 9 symphonies, Mozart wrote 27 piano concertos, and Schubert wrote 15 string quartets. (i) If a university radio

Oduvanchick [21]

Answer:

This can be done in 3645 ways

Step-by-step explanation:

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

In this problem, we have that:

1 Beethoven symphony, from a set of 9.

1 Mozart concerto, from a set of 27.

1 string quartets, from a set of 15.

$P_{(9,1)}*P_{(27,1)}*P_{(15,1)} = \frac{9!}{(9-1)!}*\frac{27!}{(27-1)!}*\frac{15!}{(15-1)!} = 3645$

This can be done in 3645 ways

4 0

3 years ago

Use the figure below. Which angles are vertical angles?<br> 2

bija089 [108]

I am really sorry but you forgot to attach a File to your question.

4 0

4 years ago

A student can solve 20 problems in 30 minutes. How long would it take him to solve 50 problems? Answer fast please.

stiks02 [169]

The answer will be 60

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3 years ago

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Data were collected on the amount spent by 64 customers for lunch at a major Houston restaurant. These data are contained in the

galina1969 [7]

Answer:

a. The margin of error is 2.29.

b. 19.23 to 23.81

Step-by-step explanation:

The sample size is n=64.

We start by calculating the sample mean and standard deviation with the following formulas:

$M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}$

The sample mean is M=21.52.

The sample standard deviation is s=6.89.

We have to calculate a 99% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

$s_M=\dfrac{s}{\sqrt{N}}=\dfrac{6.89}{\sqrt{64}}=\dfrac{6.89}{8}=0.861$

The degrees of freedom for this sample size are:

$df=n-1=64-1=63$

The t-value for a 99% confidence interval and 63 degrees of freedom is t=2.656.

The margin of error (MOE) can be calculated as:

$MOE=t\cdot s_M=2.656 \cdot 0.861=2.29$

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 21.52-2.29=19.23\\\\UL=M+t \cdot s_M = 21.52+2.29=23.81

The 99% confidence interval for the mean is (19.23, 23.81).

5 0

3 years ago