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3 years ago

Write 4.48 as a mixed number in simplest form.

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

6 0

Answer:

4 12/25

Step-by-step explanation:

4.48 can be written as 4 48/100

Simplify

4 24/50

Simplify some more.

4 12/25

Hope this helped :)

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A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given b

Olegator [25]

Answer:

Number of ovens must be manufactured in a given week to generate a profit of $1610 is 70

Step-by-step explanation:

We are given

A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given by the formula

$P=\frac{1}{10}x(300-x)$

provided that 0 ≤ x ≤ 200

We are given

profit is $1610

so, we can set P=1610

and then we can solve for x

$1610=\frac{1}{10}x(300-x)$

Multiply both sides by 10

$1610\cdot \:10=\frac{1}{10}x\left(300-x\right)\cdot \:10$

$16100=x\left(300-x\right)$

$16100=300x-x^2$

$-x^2+300x-16100=0$

now, we can factor it

$(x-70)(x-230)=0$

we can solve for x

and we get

$x=70,x=230$

Since, x=230 does not lie on 0 ≤ x ≤ 200

So, we will consider only x=70

So,

Number of ovens must be manufactured in a given week to generate a profit of $1610 is 70

7 0

3 years ago

Suppose that six individuals are interested in taking part in a study relating BMI to a number of health outcomes. The following

posledela

Answer:

a) Mean = 27.65

Median = 27.645

b) Relative Frequency = 33.33%

Step-by-step explanation:

We are given the following data set:

25.78, 21.06, 36.54, 29.51, 18.96, 34.05

a) Mean and Median

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{165.9}{6} = 27.65$

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

Sorted data: 18.96, 21.06, 25.78, 29.51, 34.05, 36.54

$\text{Median} = \displaystyle\frac{25.78 +29.51}{2} = 27.645$

b) BMI above 30 is considered obese

Frequency of obese in the given sample = 2

Relative Frequency =

$\displaystyle\frac{\text{Frequency of obese}}{\text{Total number}} = \frac{2}{6} = 0.3333 = 33.33\%$

5 0

3 years ago

Stan borrows $5,500 at a rate of 12% interest per year. What is the amount due at the end of 5 years if the interest is compound

kolbaska11 [484]

<span>Without compound interest, Stan would earn only $8,800.00. This means that thanks to the power of compound interest Stan will earn an additional $1,191.83 in interest at the end of the 5-year-term.</span>

7 0

3 years ago

Round 7,670 to the nearest hundred.

olga2289 [7]

Answer:

7,700

Step-by-step explanation:

5 or more, raise the score

4 or less, let it rest

4 0

3 years ago

1) Use the factor theorem to determine if 3x-4 is a factor of f(x)=3x^2+2x-8

valina [46]

Step-by-step explanation:

put f(4/3)= 3(4/3)^(2) +2(4/3)-8 =0

so 3x-4 is a factor

similarly, k=35

4 0

3 years ago