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wariber [46]
4 years ago
9

Write at least 2 numerical expressions for each written phrase below. Then, solve.

Mathematics
1 answer:
zloy xaker [14]4 years ago
7 0

Answer:

a. \frac{3}{5}(7)\text{ or }\frac{3\times 7}{5}

b. \frac{1}{6}(4\times 8)\text{ or }\frac{4\times 8}{6}

Step-by-step explanation:

In numerical expressions we write numbers with the mathematical symbols (  i.e. '+', '-' etc )

a. Given phrase,

Three fifths of seven,

\frac{3}{5}(7)

=\frac{3\times 7}{5}

=\frac{21}{5}

=4\frac{1}{5}

b. One sixth the product of four and eight,

\frac{1}{6}(4\times 8)

=\frac{4\times 8}{6}

=\frac{32}{6}

=5\frac{1}{3}

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Last year, 46% of business owners gave a holiday gift to their employees. A survey of business owners indicated that 20% plan to
alisha [4.7K]

Answer:

Part a: So the number  of business owners giving holiday gift to their employees from survey is 12.

Part b: p-value is 0.00003

Part c: value of p is less that a we reject the null hypothesis.

Step-by-step explanation:

Part a

number of business owners=20%  x n

number of business owners= 0.2x 60

number of business owners=12

Part b

H0: p=0.46

H1: p<0.46

Here

n=60, \hat{p}=0.2, p=0.46

So test statistics is given as

                        z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}\\z=\frac{0.20-0.46}{\sqrt{\frac{0.46(1-0.46)}{60}}}\\z=\frac{-0.26}{0.064}\\z=-4.04

p-value is P(z<-4.04)= 0.00003

Part c

As value of p is less that a we reject the null hypothesis.

4 0
3 years ago
Evaluate each permutation 7p3
enot [183]
If you have a graphing calculator, you could use it to solve this question.

If you have a TI-84, go to <em>MATH</em> then <em>PROB</em> then <em>3: nPr</em>

From there, all you have to do is type in 7 and 3 in their correct spots to get 210 as your answer.
3 0
4 years ago
Decide whether the function is an exponential growth or exponential decay function, and find the constant percentage rate of gro
Rasek [7]

Answer:

Exponential decay function; -0.94%

Step-by-step explanation:

We are given an exponential function and we are supposed to find whether the given function increases or decreases and also the percentage of increase or decrease.

Th given function is f(x) = 2060\times (0.9906)^{x}

Here x denotes the number of years.

At the start the value was 2060. In the next year it was multiplied by 0.9906.

This means that the value becomes 0.9906 times after each year.

Hence the value decreases by 0.0094 times its original value.

Converting to percentage it becomes 0.94% decrease after each year.

7 0
3 years ago
Five times the difference of twice a number and nine is negative five. Find the number.
Ilya [14]

Answer:

x = 4

Step-by-step explanation:

Step 1: Write out the expression

5(2x - 9) = -5

Step 2: Solve for <em>x</em>

10x - 45 = -5

10x = 40

x = 4

4 0
3 years ago
Read 2 more answers
Work out the area of Triangle ABC
Tema [17]

The main idea is using the Pythagorean formula to find the length of line segment DB.

Alr so you use the formula A^2 + B^2 = C^2

C^2 is already given and is 2\sqrt{5}

and A^2 is 3\sqrt{2}

So using algebraic rules you'll get B as:

\sqrt{2}

Now using the formula: \frac{1}{2} b * h, you can find the area of tri ABD and CBD which would be 3 and 1 so add them up and you get 4!

5 0
3 years ago
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