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.
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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
A LEVER
Its a lever because both sides can be controlled by eachother :)
The ratio of the sides are the same. So 6/24=x/56. This leads to x being 14.
Answer:
D
Step-by-step explanation:
Yes it's D. Answered by Gauthmath
Given:
arithmetic progression
a₁ = 3
a₂ = x
a₃ = y
a₄ = 18
Solution:
The arithmetic progression has general formula to determine nth term
a₁ + d(n - 1) = an
a₁ represents first term, d represents difference, n represents number of terms, an represents nth term
First we should find out the value of d, by submitting a₄ to the formula
a₁ + d(n - 1) = an
a₁ + d(4 - 1) = a₄
3 + d(3) = 18
3 + 3d = 18
3d = 15
d = 5
The difference of the sequence is 5
Second, determine x and y
x = a₂
x = a₁ + d(2 - 1)
x = 3 + 5(1)
x = 8
y = a₃
y = a₁ + d(3 - 1)
y = 3 + 5(2)
y = 13
The value of x is 8, the value of y is 13
