Answer:
9.06
Step-by-step explanation:
Answer: 4.2 miles
Step-by-step explanation:
So she ran 6 miles in 50 minutes how long will she run in 35 minutes?
So the equation will therefore be:
6=50
x=35
Cross multiply
6 x 35 = 50x
210 = 50x
Divide both sides by 50
The answer is 4.2 miles
Answer:
0.35% of students from this school earn scores that satisfy the admission requirement.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
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.
The combined SAT scores for the students at a local high school are normally distributed with a mean of 1479 and a standard deviation of 302.
This means that 
The local college includes a minimum score of 2294 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement?
The proportion is 1 subtracted by the pvalue of Z when X = 2294. So



has a pvalue of 0.9965
1 - 0.9965 = 0.0035
0.0035*100% = 0.35%
0.35% of students from this school earn scores that satisfy the admission requirement.
Answer:
(a) A = 700×1.015^t
(b) 36.2 years
Step-by-step explanation:
(a) Each year, the account value is multiplied by (1 + 1.5%) = 1.015. Repeated multiplication is signified using an exponent. In t years, when the account has been multiplied by 1.015 t times, the account value will be ...
A = $700×1.015^t
__
(b) You want to find t when A=$1200. Logarithms are involved.
1200 = 700×1.015^t . . . . use 1200 for A
1200/700 = 1.015^t . . . . . divide by 700
log(12/7) = t×log(1.015) . . . . . take logarithms
log(12/7)/log(1.015) = t ≈ 36.2 . . . . divide by the coefficient of t
It will take about 36.2 years for the account balance to reach $1200.
Answer:
Step-by-step explanation:
<u>Given function</u>
From the table we get the function g(x), use pairs (1, 10) and (3, 14)
<u>The slope:</u>
- m = (14 - 10)/(3 - 1) = 4/2 = 2
<u>The y-intercept:</u>
- 10 = 2(1) + b
- b = 10 - 2
- b = 8
<u>The function g(x) is found as:</u>
<u>The y- intercept of f (x) is subtracted from the y-intercept of g (x):</u>