Ask question

Ask question

All categories

2 years ago

8

Explain in words what mistake you made and how will correct it. in a group of 20 children,there were 8 girls. which is the ratio

of girls to boys in simplest form?

1 answer:

Nataly_w [17]2 years ago

7 0

Well first do 20 children minus 8 girls to find how many boys there are:
20-8=16
So there are 16 boys. Therefore we can write the ratio of girls to boys as:
8/16
Then we can simplify this ratio by dividing it by 8 to get:
1/2
So the answer is the ratio of girls to boys in the group in simplest form is 1/2.

You might be interested in

Solve using systems of equations. -3x-4y=-8 <br> 3x+3y=9

anzhelika [568]

Sure thing!

$-3x-4y=-8\\
 3x+3y=9\\
----------\\
0x-1y=1\\
y=-1\\

$

since y = -1 we can just plug it into the first equation
$-3x-4(-1)=-8\\
-3x+4=-8\\
-3x=-12\\
x=4$

8 0

3 years ago

Simplify the expression. (Use the Distributive Property) <br> 4(2c - 2)

Ket [755]

Answer:

4(2-2c)

Step-by-step explanation:

because you switch it around

5 0

2 years ago

Read 2 more answers

The yard behind the Cindy’s house is rectangular in shape and has a perimeter of 72 feet. If the length l of the yard is 18 feet

PtichkaEL [24]

Let
L----------> <span>the length of the yard
W--------> </span><span>the width l of the yard

we know that
the perimeter is equal to
</span> $P=2*[W+L]$
$72=2*[W+L] \\ 36=W+L$ --------> equation 1
$L=W+18$ ------> equation 2
<span>substitute equation 2 in equation 1
</span> $36=W+18+W \\ 36=2W+18 \\ W=(36-18)/2$
$W=9 ft$
$L=W+18 \\ L=9+18 \\ L=27 ft$
<span>
we know that
Area of the rectangular yard is equal to
</span> $A=L*W \\ A=27*9 \\ A=243 ft^{2}$ <span>

</span>

4 0

3 years ago

Read 2 more answers

A manufacturer of paper coffee cups would like to estimate the proportion of cups that are defective (tears, broken seems, etc.)

Maksim231197 [3]

Answer:

a

The 95% confidence interval is $0.0503 < p < 0.1297$

b

The sample proportion is $\r p = 0.09$

c

The critical value is $Z_{\frac{\alpha }{2} } = 1.96$

d

The standard error is $SE =0.020$

Step-by-step explanation:

From the question we are told that

The sample size is n = 200

The number of defective is k = 18

The null hypothesis is $H_o : p = 0.08$

The alternative hypothesis is $H_a : p > 0.08$

Generally the sample proportion is mathematically evaluated as

$\r p = \frac{18}{200}$

$\r p = 0.09$

Given that the confidence level is 95% then the level of significance is mathematically evaluated as

$\alpha = 100 - 95$

$\alpha = 5\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the standard of error is mathematically represented as

$SE = \sqrt{\frac{\r p (1 - \r p)}{n} }$

substituting values

$SE = \sqrt{\frac{0.09 (1 - 0.09)}{200} }$

$SE =0.020$

The margin of error is

$E = Z_{\frac{ \alpha }{2} } * SE$

=> $E = 1.96 * 0.020$

=> $E = 0.0397$

The 95% confidence interval is mathematically represented as

$\r p - E < \mu < p < \r p + E$

=> $0.09 - 0.0397 < \mu < p < 0.09 + 0.0397$

=> $0.0503 < p < 0.1297$

7 0

3 years ago

HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

horrorfan [7]

Answer:

12

Step-by-step explanation:

10 - 1/2 x = 12-4/3x

60 - 3x = 72-2x

-12 = - x

3 0

2 years ago