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
Answer:
TSA = 175.84 ft²
Step-by-step explanation:
We are given;
Lateral surface area; A_L = 75.36 ft²
Area of base; A_b = 50.24 ft²
Height of cylinder; h = 3ft
Formula for total surface area of Cylinder is;
TSA = 2πr² + 2πrh
Now, lateral surface area is given by the formula; A_L = 2πrh
Area of base is given by the formula;
A_b = πr²
Thus, let's apply these 2 formulas to the formula for total surface area;
TSA = 2(Area of base) + Lateral surface area
TSA = (2 * 50.24) + 75.36
TSA = 175.84 ft²
Answer:
3
Step-by-step explanation:
j(2) means that x equals 2...
the first inequality in the function says that x is greater than or equal to 2
the second inequality states that x is greater than 2(not equal to) and is less than or equal to 5
the third one states that x is greater than 5
x applies to the first inequality since we know that x can be equal to 2
Now, to the number before the if
there is a 3 before the if in the first inequality
This means that if x is greater than or equal to 2 the y or the function would equal 3
therefore, j(2) would equal 3
I hope this helps!!!
Answer:
-11xy
Step-by-step explanation:
Subtracting a negative means adding.
-14xy - (-3xy) = -14xy + 3xy = -11xy
