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2 years ago

Factorise and evaluate 25 × 6 + 25 × 4

Mathematics

2 answers:

Citrus2011 [14]2 years ago

8 0

Answer:

250

Step-by-step explanation:

25×6=150

25×4=100

100+150=250

AlekseyPX2 years ago

6 0

Answer:

250

Step-by-step explanation:

First with factorise the common factor out first, in this case, its 25.

25x6+25x4 = 25(6+4)

Now using of order of operations we will evaluate the bracket first.

25(6+4) = 25(10) = 25 x 10 = 250

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In a sample of 1000 cases, the mean of a certain test is 14 and the standard deviation is 2.5. Assume the distribution to be nor

Maslowich

Answer:

The top 20% of the students will score at least 2.1 points above the mean.

Step-by-step explanation:

When the distribution is normal, we use 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.

The mean of a certain test is 14 and the standard deviation is 2.5.

This means that $\mu = 14, \sigma = 2.5$

The top 20% of the students will score how many points above the mean

Their score is the 100 - 20 = 80th percentile, which is X when Z has a pvalue of 0.8. So X when Z = 0.84.

Their score is:

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

$0.84 = \frac{X - 14}{2.5}$

$X - 14 = 0.84*2.5$

$X = 16.1$

16.1 - 14 = 2.1

The top 20% of the students will score at least 2.1 points above the mean.

7 0

2 years ago

Witch is bigger 1/4 or 2/7

Kaylis [27]

Answer:

2/7

Step-by-step explanation:

this is because you can simply do the butterfly method and multiply 4 times 2 which is 8 for 2/7 and 7 times 1 for 1/4 which is 7 so 2/7 is greater than 1/4

3 0

2 years ago

My question is ''If this stack of magazines is about 1m tall, how much magazines do you thinkg would be in there'' please tell m

natita [175]

A meter is about 3 feet and a magazine is about 1 inch thick. so 36 inches would mean 36 magazines

5 0

3 years ago

The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 8

julsineya [31]

Good afternoon,

First side= 8cm
Third side= x
Second side= 2x-4

We know that the sume of the lenghts of any two sides must be greater than the third side, so:

$Second \,\,\,\,side+Third\,\,\,\,side>First\,\,\,\,side \\ 2x-4 + x >8 \\ 3x>12 \\ x>4
$

Answer: Third side= x ; where: x>4 or (4,+infinity)
Second side= 2x-4 ; where: x>4 or (4,+infinity)

3 0

2 years ago

Simplify 8 over negative 3 divided by negative 4 over 9 . (5 points) -8 -6 6 8

denpristay [2]

Answer:

Step-by-step explanation:

(8/3) / (-4/9)

when dividing fractions you use the acronym k.c.f (keep change flip)

keep the first fraction

change the operation (divide to multiply)

flip the other fraction

(8/-3) x (9/4)

after re-writing your expression, you want to solve

do this by multiplying both numerators by each other and same with the denominators

(-8x9) / (3x-4)

then you get a new fraction,

-72/-12

simplify,

-72/-12 = 6 (multiplying/dividing 2 negatives will always give you a positive)

3 0

2 years ago