Answer:
c
Step-by-step explanation:
hope u have a blessed christmas and a happy new year
Answer:
Step-by-step explanation:
<u>Let's check his work by simplifying the given expression.</u>
- 2(x - 2) - 2(3)
- => 2x - 4 - 6
- => 2x - 10
When I compare Marty's result and this result, they are un-equal. Hence, Marty is incorrect.
<u>Marty's mistake</u>
- Marty must've got the problem wrong because of not understanding the distributive property.
- He probably forgot to multiply -2 by 2. Instead, he only subtracted 2 when he should've subtracted 4 from 2x.
Deposited money:
March: 120
April: 120+(120×20)/100=120+24=144
May: 144+(144×20)/100=144+18,8=162,8
June: 162,8+(162.8×20)/100=162,8+32.56=195.36
July: 195.36+(195.36×20)/100=195.36+23.87=219.23
August: 219.23+(219.23×20)/100=219.23+43.85=263.08
120+144+162.8+195.36+219.23+263.08=1105.19
So the answer is no.
-2y-4=4(y-1)
Always remove the pararentheses as your first step.
-2y-4 = 4y - 4
Combine like terms.
-2y - 4y = 4 - 4
-6y = 0
Divide both sides by -6 to find y.
-6y/-6 = 0/-6
y = 0
Done
Answer:
47.06% of the population has an IQ between 85 and 105.
Step-by-step explanation:
Problems of normally distributed samples are 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.
In this problem, we have that:

What percent of the population has an IQ between 85 and 105?
This is the pvalue of Z when X = 105 subtracted by the pvalue of Z when X = 85. So
X = 105



has a pvalue of 0.6293.
X = 85



has a pvalue of 0.1587
So 0.6293 - 0.1587 = 0.4706 = 47.06% of the population has an IQ between 85 and 105.