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Alchen [17]
3 years ago
13

T (10 x k) solve if t=2 and k=6 show work please

Mathematics
1 answer:
grigory [225]3 years ago
5 0

Answer:

120

Step-by-step explanation:

If t=2 and k=6 then this is what you do:

- 2(10*6)

- 10*6=60

- 2*60=120

HOPE THIS HELPS!

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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 jar has 6 red marbles and 4 blue marbles. If 2 marbles are chosen, one at a time without replacement, what is the probability
Juliette [100K]

1/3 Probability both are red

red picked first:

6/10

red picked second:

5/9 (9 as first red marble not replaced so 5 red marbles remaining and 4 blue marbles still)

6/10 * 5/10 = 1/3

Hope that helps!!

7 0
3 years ago
By looking at the calculation below, write down a multiplication fact using the same numbers.
IrinaVladis [17]

Answer:

98 x 3 = 294 or 3 x 98 = 294

Step-by-step explanation:

Since 294 divided by 3 is 98, that means 294 is 3 times 98. So, we can say:

3 x 98 = 294

We can also say that 98 x 3 = 294 since it doesn't matter in which order you multiply.

7 0
2 years ago
Read 2 more answers
What is the value of the digit 4 in this number? Write your answer in number form. 283,234,853,023
sertanlavr [38]

Answer:

4,000,000

Or you can also say 4 million

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Sadie has mangos and watermelons in a ratio of 91:11. How many mangos does she have if she has 66 watermelons?
snow_lady [41]

Answer:

546 manogoes

Step-by-step explanation:

Sadie has mangos and watermelons in a ratio of 91:11.

We need to find the number of mangoes if she has 66 watermelons.

It means that,

11x = 66

x = 6

So,

Mangoes = 91x

= 91(6)

= 546

Hence, there are 546 mangoes.

3 0
3 years ago
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