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raketka [301]
2 years ago
7

Determine if the inequality is true or false: 3q < 18 if q = 6

Mathematics
1 answer:
kap26 [50]2 years ago
3 0

Answer:

false

Step-by-step explanation:

it is because 3(6) which q=6 gives the answer of 18, so 18 can not be bigger than 18

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How to solve it because i have no idea
Angelina_Jolie [31]
First you chang top fractions into decimal add and divide that by 4 which is equal to 0.375 hope it helps.

5 0
3 years ago
The mean points obtained in an aptitude examination is 159 points with a standard deviation of 13 points. What is the probabilit
Korolek [52]

Answer:

0.4514 = 45.14% probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 159, \sigma = 13, n = 60, s = \frac{13}{\sqrt{60}} = 1.68

What is the probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled?

This is the pvalue of Z when X = 159+1 = 160 subtracted by the pvalue of Z when X = 159-1 = 158. So

X = 160

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{160 - 159}{1.68}

Z = 0.6

Z = 0.6 has a pvalue of 0.7257

X = 150

Z = \frac{X - \mu}{s}

Z = \frac{158 - 159}{1.68}

Z = -0.6

Z = -0.6 has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

0.4514 = 45.14% probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled

7 0
3 years ago
A chemist has a solution of 65% pure acid and another solution of 30% pure acid. How many gallons of each will make 350 gallons
AysviL [449]

Answer:

250 of 65% acid

100 gallons of 30% acid

Really sorry if this is incorrect, I had this question on my Lesson 16 test, and I don't know if it's correct or not...

8 0
2 years ago
Read 2 more answers
The area of a piece of land that is in the shape of a triangle is 1/12 square mile. One dimension of this piec of land is 4/21.
Arisa [49]

Answer:

D2=21/24 mile

Step-by-step explanation:

Her it is not specified if it is base or height, it only talks about dimensions, so let's work with dimensions

A=1/12 mile^{2}

D1=4/21mile, D2=?

Area of a triangle A=\frac{b.h}{2}

A=((D1*D2)/2) → 2A=D1*D2 → D2=2A/D1 so D2=(2*1/12)/(4/21) =(1/6)/(4/21) = (1*21)/(6*4)=21/24 mile

7 0
3 years ago
-x+ y = 12<br> x-2y=3<br><br> Please help
grigory [225]

Answer:

x=-27, y=-15

Step-by-step explanation:

In the attached file

7 0
3 years ago
Read 2 more answers
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