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2 years ago

Simplify the following expression.

Mathematics

2 answers:

Ymorist [56]2 years ago

4 0

Answer:

The answer would be A. -42

Dimas [21]2 years ago

3 0

Answer:

À.-42

Step-by-step explanation:

hey mate hope its help you......

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1. At a speed of 80km/h, it takes 10hrs to travel between Abuja and Lagos. How long will it takes to cover the same distance at

Softa [21]

Answer:

1. 8 hours 2. 12 pumps

Step-by-step explanation:

1. 80 ×10=800

there are 800 miles between abuja and lagos

800÷100=8

it will take 8 hours

2. with 3 pumps it takes 36 hours. you need to be 4 times quicker so you need 4 times more pumps.

4×3=12 pumps

3 0

3 years ago

Read 2 more answers

3/7 x 28/9 x 15/17 ... how do I use cancellation? my answer was 15/17 but thats not the right answer, can someone explain this a

Ne4ueva [31]

First you cancel 7 and 28, and 3 and 9, so that leaves you with 4/3 x 15/17, then you cancel 3 and 15 so you get 4x5/17 which should give you 20/17!

4 0

2 years ago

Graph the equation y = x2 + 8x + 12 on the accompanying set of axes. You must

UkoKoshka [18]

Answer:

Step-by-step explanation:

Roots: set y = x^2 + 8x + 12 = 0 and solve for x: x + 6 = 0, so x = -6 is one root. The other is x = -2. The corresponding points are (-6, 0) and (-2, 0).

y-intercept: Let x = 0. Then y = 12. The y-intercept is (0, 12).

Axis of symmetry: x = -b / (2a) => x = -8/(2*1) = -4: x = -4

Vertex y-value: evaluate y at x = - 4: (-4)^2 + 8(-4) + 12 = -4: (-4, -4)

Arbitrarily chosen x value: x = 1 => 1^2 + 8(1) + 12 = 21: (1, 21)

The five points are: (-6, 0) and (-2, 0), (0, 12), (-4, -4), (1, 21). The vertex is (-4, -4). The parabolic graph opens UP.

8 0

3 years ago

A distribution of values is normal with a mean of 220 and a standard deviation of 13. From this distribution, you are drawing sa

Paraphin [41]

Answer:

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

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 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 normally distributied random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$