If she gave all the kids in her class 1 piece of candy, and she had 7 left over, the equation is 97 - 7 = 90. There are 90 kids in her class.
Answer:
$3456
Step-by-step explanation:
We are given;
- Money deposited (principle) as $2,700
- Rate of interest is 3.5%
- Time is 8 years
We are required to determine the amount that will remain after 8 years
- We first need to determine the interest earned after eight years using the simple interest formula.
Simple interest = (Principle × rate × interest periods) ÷ 100
Therefore;
Interest = ($2,700 × 3.5% × 8 yrs)÷ 100
= $756
Then determine the amount after 8 years
Amount = Principle + Interest
Therefore;
Amount = $2700 + $756
= $3,456
Therefore, the money in the account after 8 years is $3456
Answer:
The z-score for a data value of 121 is -2.29.
Step-by-step explanation:
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Find the z-score for a data value of 121.
This is Z when X = 121. So
The z-score for a data value of 121 is -2.29.
Solution:
<u>It should be noted:</u>
- Opposite sides of a rhombus are always equal.
- Opposite angles of a rhombus are always equal.
<u>Thus:</u>
- (-y - 10) = 90°
- 3z - 3 = 90°
- 4x - 2 = 90°
<u>Finding x:</u>
- 4x - 2 = 90°
- => 4x = 90 + 2
- => 4x = 92
- => x = 23
<u>Finding y:</u>
- (-y - 10) = 90°
- => -y - 10 = 90°
- => -y = 100
- => y = -100
<u>Finding z:</u>
- 3z - 3 = 90°
- => 3z = 90 + 3
- => 3z = 93
- => z = 31
