Answer:
310
Step-by-step explanation:
total no.of students=1872
ratio of boys to girls=7:5
sum of ratio=total of students
12/12=1872
7/12=?
7/12*1872/1=1092which is the number of girls
1872-1092=780which is the number of boys
difference =1092-780= 310
If found the image that accompanies this problem, the central angle was 60°. Since the circumference of a circle is always 360°, the minor arc represents 60°/360° of the circle.
48 cm / (60°/360°) = 48 cm / (1/6) = 48 cm * 6/1 = 48 cm * 6 = 288 cm
The circumference of circle Z is 288 cm.
Type I error is:
" Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29 "
Type II error is:
"Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29 "
<u>What is proportion?</u>
An equation in which two ratios are made equal is called a proportion. For instance, you could write the ratio as 1: 3 (for every one boy, there are three girls), which means that 14 of the population is made up of boys and 34 of the population is made up of girls.
In Statistics, a type I error is the rejection of a true null hypothesis
and a type II error is the non-rejection of a false null hypothesis
Given that p = 0.29 is accepted
Now type I error is
C. Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29
i.e. (false positive)
and type II error here is
B. Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29.
To learn more about the proportion from the given link
brainly.com/question/19994681
#SPJ4
Solutions
We know that <span>a spinner was divided into many different color sectors. Some sectors are larger than others. The spinner was spun 300 times. The results were tallied up and were written in a table.
</span><span>Red:93
Blue:59
Green:105
Yellow:43
</span>
The spinner landed the highest on green. To find <span>the probability that the next spin will land on green we have add all the numbers and simplify them.
93 + 59 + 105 + 43 = 300
Out of 300 the spinner landed to green 105 times. We have the fraction 105/300.
105/300 can be reduced. To reduce the fraction we need to the GCF of 105 and 300. The GCF is 15.
</span>We can reduce the fraction by dividing the numerator and denominator by the GCF = 15.
105 ÷ 15 = 7
300 ÷ 15 = 20
Our new fraction is 7/20
The <span>probability that the next spin will land on green is 7/20.
</span>≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
<span>
To get the answer to part (B) we have to add the results of red and green then simplify.
93 + 105 = 198
The fraction is 198/300. </span><span>198/300 can be reduced. To reduce the fraction we need to the GCF of 105 and 300. The GCF is 6.
</span>We can reduce the fraction by dividing <span>the numerator and denominator by the GCF = 6.
</span>198 ÷ 6 = 33
300 ÷ 6 = 50<span>
The new fraction is 33/50
</span>The probability that the next spin will land on either green or red is <span>33/50.
</span>
Hope this helps