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3 years ago

15

Tom caught 4 fish and his son caught 12 fish. The number of fish that Tom’s caught was what percent of the number of fish his so

n caught? What percent of the total amount did Tom catch?

1 answer:

Sever21 [200]3 years ago

6 0

His son caught 25% of the total fish and he caught 75%

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If f(x)=-x^2-1 and g(x)=x+5 then f(g(x)) =

sammy [17]

Answer:

The composition of f(g(x)) is:

$f(g(x)) = -x^2-10x-26$

Step-by-step explanation:

Given two functions are:

$f(x) = -x^2-1\\g(x) = x+5$

we have to find the composition of f and g which can also be written as: fog(x) or f(g(x))

The method to find the composition is that we will put the function g in place of x in function f

$f(g(x)) = -(x+5)^2-1\\=-(x^2+25+10x)-1\\=-x^2-25-10x-1\\=-x^2-10x-26$

Hence,

The composition of f(g(x)) is:

$f(g(x)) = -x^2-10x-26$

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3 years ago

Write the given rate as a fraction in simplest form. 12 cups for every 39 people O 39/12 cups per person O 13/4 cups per person

Nata [24]

Answer:

4/13 cups per person

Step - by - step explanation:

Write the given rate as a fraction in simplest form. 12 cups for every 39 people

O 39/12 cups per person

O 13/4 cups per person

0 4/13 cups per person

O 12/39 cups per person

There are 39 people

12 cups are available

Determine the number of cups per person

Cups per person = 12 cups / 39 people

= 12/39 cups per person

Divide both numerator and denominator by 3

= 4/13 cups per person

Cups per person as a fraction in simplest form = 4/13 cups per person

8 0

3 years ago

Match each set of points with the slope of the line formed by the ordered pairs.

Fynjy0 [20]

1) The slope of the point (0,0) and (2,1) is 1/2.

2) The slope of the point (0,-1) and (2,-5) is -2.

3) The slope of the point (0,7) and (2,4) is -3/2.

4) The points (-1,3) and (-1,-3) has No slope.

5) The slope of the point (1,-3) and (-1,-3) is zero.

<u>Step-by-step explanation:</u>

There are five set of points given in the question.

You need to find out the slope of the line formed by the points.

The formula used to find the slope of a line is given by,

Slope = $\frac{y2-y1}{x2-x1}$

1) The given points are (0,0) and (2,1)

(x1,y1) ⇒ (0,0)

(x2,y2) ⇒ (2,1)

Slope = $\frac{1-0}{2-0}$

⇒ 1/2 is the slope.

2) The given points are (0,-1) and (2,-5)

(x1,y1) ⇒ (0,-1)

(x2,y2) ⇒ (2,-5)

Slope = $\frac{-5+1}{2-0}$

⇒ $\frac{-4}{2}$

⇒ -2 is the slope.

3) The given points are (0,7) and (2,4)

(x1,y1) ⇒ (0,7)

(x2,y2) ⇒ (2,4)

Slope = $\frac{4-7}{2-0}$

⇒ -3/2 is the slope.

4) The given points are (-1,3) and (-1,-3)

(x1,y1) ⇒ (-1,3)

(x2,y2) ⇒ (-1,-3)

Slope = $\frac{-3-3}{-1+1}$

⇒ -6/0 (No slope)

If the denominator of a fraction is zero, the expression is not a legal fraction because it's overall value is undefined.

∴ There is no slope.

5) The given points are (1,-3) and (-1,-3)

(x1,y1) ⇒ (1,-3)

(x2,y2) ⇒ (-1,-3)

Slope = $\frac{-3+3}{-1-1}$

⇒ 0/-2

∴ The slope is zero.

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3 years ago

Read 2 more answers

An ice chest at a birthday party has a variety of

timurjin [86]

Answer:

50/50 because you will most likely pull cola your first time

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3 years ago

According to a recent survey, the population distribution of number of years of education for self-employed individuals in a c

strojnjashka [21]

Answer:

a) $n=100,\,\mu_s = 14.7, \,\sigma_s=0.32$

b) $n=400,\,\mu_s = 14.7, \,\sigma_s=0.16$

c) "a.The mean of the sampling distribution stays the same, but the standard error decreases."

Step-by-step explanation:

a) We have a population with mean of 14.7 and standard deviation of 3.2.

We have to calculate the parameters of the sampling distribution (mean and standard deviation), for a sample size of n=100.

The mean for the sampling distribution is the same of the population:

$\mu_s=\mu=14.7$

The standard deviation of the sampling distribution is related to the population standard deviation by the inverse of the square of the sample size:

$\sigma_s=\sigma/\sqrt{n}=3.2/\sqrt{100}=3.2/10=0.32$

b) For a sample size of n=400, the mean is the same (14.7), but the standard deviation becomes:

$\sigma_s=\sigma/\sqrt{n}=3.2/\sqrt{400}=3.2/20=0.16$

c) "a.The mean of the sampling distribution stays the same, but the standard error decreases."

As we calculated, the standard error decreases as the sample size increases. This is because the variability of the variable is reduced as the sample size is bigger.

The mean stays the same independently of the sample size.

7 0

3 years ago