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statuscvo [17]
3 years ago
6

A survey asked people which kind of pet they owned. The results are shown in the table below. Of the women who were surveyed, wh

at is the relative frequency that owned cats?
Male Female Total
Own cat 26 35 61
Own dog 75 60 135
Own other 60 45 105
Own no pet 122 112 234
Total 283 252 535
Mathematics
2 answers:
bagirrra123 [75]3 years ago
5 0
The answer is 0.139
hope this helps
aliya0001 [1]3 years ago
4 0

Answer: 0.139

Step-by-step explanation:

From  the given table, the total number of females = 252

The number of females that owned cats = 35

Therefore , the relative frequency of women that owned cats is given by :-

\frac{\text{Number of females that own cats}}{\text{Number of females}}\\\\=\frac{35}{252}=0.138888888889\approx0.139

Hence, the relative frequency of women that owned cats is 0.139.

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3)

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6 0
2 years ago
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balu736 [363]
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4 0
3 years ago
A metallurgist needs to make 12.4 lb. of an 10) alloy containing 50% gold. He is going to melt and combine one metal that is 60%
sergeinik [125]
Now, let's say, we add "x" lbs of the 60% gold alloy, so..  how much gold is in it?  well, is just 60%, so (60/100) * x, or 0.6x.

likewise, if we use "y" lbs of the 40% alloy, how much gold is in it?  well, 40% of y, or (40/100) * y, or 0.4y.

now, whatever "x" and "y" are, their sum must be 12.4 lbs.

we also know that the gold amount in each added up, must equal that of the 50% resulting alloy.

\bf \begin{array}{lccclll}
&\stackrel{lbs}{amount}&\stackrel{gold~\%}{quantity}&\stackrel{gold}{quantity}\\
&------&------&------\\
\textit{60\% alloy}&x&0.6&0.6x\\
\textit{40\% alloy}&y&0.4&0.4y\\
------&------&------&------\\
\textit{50\% alloy}&12.4&0.50&6.2
\end{array}

\bf \begin{cases}
x+y=12.4\implies \boxed{y}=12.4-x\\
0.6x+0.4y=6.2\\
-------------\\
0.6x+0.4\left( \boxed{12.4-x} \right)=6.2
\end{cases}
\\\\\\
0.6x-0.4x+4.96=6.2\implies 0.2x=1.24\implies x=\cfrac{1.24}{0.2}
\\\\\\
x=\stackrel{lbs}{6.2}

how much of the 40% alloy?  well, y = 12.4 - x.
5 0
3 years ago
What is an equation of a line that has a slope of 4 and a y intercept of -6
svlad2 [7]

Answer:

y = 4x -6

Step-by-step explanation:

The equation of a line is given by

y = mx +b where m is the slope and b is the y intercept

y = 4x -6

3 0
3 years ago
Read 2 more answers
Two mechanics worked on a car. The first mechanic worked for 15
nevsk [136]

Answer: For the sum of 130

First: $90

Second: $40

Step-by-step explanation:

We write equations for each part of this situation.

<u>The Total Charge</u>

Together they charged 1550. This means 1550 is made up of the first mechanics rate for 15 hours and the second's rate for 5 hours. Lets call the first's rate a, so he charges 15a. The second's let's call b. He charges 5b. We add them together 15a+5b=1550.

<u>The Sum of the Rates</u>

Since the first's rate is a and the second is b, we can write a+b=130 since their sum is 130.

We solve for a and b by substituting one equation into another. Solve for the variable. Then substitute the value into the equation to find the other variable.

For a+b=130, rearrange to b=130-a and substitute into 15a+5b=1550.

15a + 5 (130-a)=1550

15a+650-5a=1550

10a+650-650=1550-650

10a=900

a=$90 was charged by the first mechanic.

We substitute to find the second mechanic's rate.

90+b=130

90-90+b=130-90

b= $40 was charged by the second mechanic

5 0
3 years ago
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