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sertanlavr [38]
3 years ago
5

5x2 – 15x – 20. factorise

Mathematics
1 answer:
hoa [83]3 years ago
7 0

Answer:

5(x−1)(x+4)? i think

Step-by-step explanation:

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if any one can help me that would be awesome 1. − 8 = 5 b − 3 b 2. k − 8 + 6 k = 20 3. 723. 4. 6 ( 3 + 3 x ) = 72 364. 5 ( m + 4
Morgarella [4.7K]

Answer:

1)b=-4

2)k=4

3)can u explain what #3 and 4 say

4)?

5)0/ no solution

Step-by-step explanation:

5 0
3 years ago
Multiply the two fractions. Simplify your answer. 1/2 x 4/7
Margarita [4]

Answer:

2/7

Step-by-step explanation:

1x4=4

2x7=14

4/14 divided by 2 is 2/7 (simplified)

8 0
2 years ago
Read 2 more answers
The Office of Student Services at a large western state university maintains information on the study habits of its full-time st
Vera_Pavlovna [14]

Answer:

0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours

Step-by-step explanation:

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

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, 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 normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 20 hours, standard deviation of 6:

This means that \mu = 20, \sigma = 6

Sample of 150:

This means that n = 150, s = \frac{6}{\sqrt{150}}

What is the probability that the mean of this sample is between 19.25 hours and 21.0 hours?

This is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19.5. So

X = 21

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

By the Central Limit Theorem

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

Z = \frac{21 - 20}{\frac{6}{\sqrt{150}}}

Z = 2.04

Z = 2.04 has a p-value of 0.9793

X = 19.5

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

Z = \frac{19.5 - 20}{\frac{6}{\sqrt{150}}}

Z = -1.02

Z = -1.02 has a p-value of 0.1539

0.9793 - 0.1539 = 0.8254

0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours

3 0
3 years ago
The mass of the parasitic wasp Caraphractus cintus can be as small as 5.00
arsen [322]

Answer:

(c) micrograms (µg)

Step-by-step explanation:

Download docx
3 0
2 years ago
Let a and b be positive integers. 23^a x 23^b
Ket [755]

Answer:

23 ^ ( a+b)

Step-by-step explanation:

23^a *23^b

Since the bases are the same, we can add the exponents

23 ^ ( a+b)

6 0
3 years ago
Read 2 more answers
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