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Sholpan [36]
2 years ago
11

A total of 60 children signed up for hockey. There were 3 boys for every 1 girl who signed up. How many of the children who sign

ed up for hockey were girls?
Mathematics
2 answers:
timurjin [86]2 years ago
5 0
60÷(3+1)=15 1*15 = 15 girls 3*15 = 45 boys
nikitadnepr [17]2 years ago
3 0

Answer: The answer is 15.

Step-by-step explanation:  Given that there are a total of 60 students who signed up for hockey, where there were 3 boys for every 1 girl who signed up. We are to find the number of girls who signed up.

The ratio of the number of boys to the number of girls will be 3 : 1.

Let '3x' and 'x' be the number of boys and number of girls respectively who signed up.

Therefore, we have

3x+x=60\\\\\Rightarrow 4x=60\\\\\Rightarrow x=15.

Thus, the number of girls is 15.

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Two triangles are similar. The sides of one are three times as long as the sides of the other. What is the ratio of the areas of
Setler [38]

Answer:

1 : 9

Step-by-step explanation:

Given 2 similar figures with sides in ratio a : b , then

ratio of areas = a² : b²

Here the ratio of sides = 1 : 3 , thus

ratio of areas = 1² : 3² = 1 : 9

4 0
3 years ago
What is the outlier for the data set?<br><br> A. There is none<br> B. 5<br> C. 10<br> D. 9
zmey [24]
The outlier in the data set is 5
8 0
2 years ago
HELP PLEASE! DUE IN 5 HRS
Ghella [55]

Answer: D. 3 2/3 - 2

Step-by-step explanation: If you add up all of the boxes, you get 3 4/6, which is simplified to 3 2/3. Then, subtract the marked boxes (which equal 1 2/3) from 3 2/3 and you get 2. Hence, your answer: 3 2/3 - 2 (= 1 2/3)

4 0
3 years ago
The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of 16
dusya [7]

Answer:

F=\frac{s^2_2}{s^2_1}=\frac{5.5}{2.5}=2.2

Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have n_2 -1 =16-1=15 and for the denominator we have n_1 -1 =16-1=15 and the F statistic have 15 degrees of freedom for the numerator and 15 for the denominator. And the P value is given by:

p_v =2*P(F_{15,15}>2.2)=0.138

For this case the p value is highert than the significance level so we haev enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviations are not significantly different

Step-by-step explanation:

Information given

n_1 = 16 represent the sampe size 1

n_2 =16 represent the sample 2

s^2_1 = 2.5 represent the sample deviation for 1

s^2_2 = 5.5 represent the sample variance for 2

\alpha=0.10 represent the significance level provided

The statistic is given by:

F=\frac{s^2_2}{s^2_1}

Hypothesis to test

We want to test if the variations in terms of the variance are equal, so the system of hypothesis are:

H0: \sigma^2_1 = \sigma^2_2

H1: \sigma^2_1 \neq \sigma^2_2

The statistic is given by:

F=\frac{s^2_2}{s^2_1}=\frac{5.5}{2.5}=2.2

Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have n_2 -1 =16-1=15 and for the denominator we have n_1 -1 =16-1=15 and the F statistic have 15 degrees of freedom for the numerator and 15 for the denominator. And the P value is given by:

p_v =2*P(F_{15,15}>2.2)=0.138

For this case the p value is highert than the significance level so we haev enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviations are not significantly different

5 0
3 years ago
Tommy stands on a diving board that is 4 fee above the pools surface. He dives and touches the bottom of the pool, which is 12 f
vladimir1956 [14]
12*4=48 that is because you have to times 12*4 
8 0
3 years ago
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