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3 years ago

Evaluate -4a+8z if a=8 and z=3

Mathematics

2 answers:

Kipish [7]3 years ago

5 0

Answer:

-8

Step-by-step explanation:

a = 8

z = 3

-4(8) + 8(3) = -32 + 24 = -8

Ksivusya [100]3 years ago

4 0

Answer:

- 8

Step-by-step explanation:

Given

= 4a + 8z ← substitute a = 8 and z = 3 into the expression

= - 4(8) + 8(3)

= - 32 + 24

= - 8

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Find the perimeter of the triangle whose vertices are the following specified points in the plane. (4,−7),(−10,−4) and (3,−7)

polet [3.4K]

Answer:

√205 +√178 +1 ≈ 28.6595

Step-by-step explanation:

The distance formula tells you the distance between points (x1, y1) and (x2, y2) is ...

d = √((x2 -x1)^2 +(y2-y1)^2)

Taken pairwise, the distances between the given points are ...

d1 = √((-10-4)^2 +(-4-(-7))^2) = √(196+9) = √205

d2 = √((3-(-10))^2 +(-7-(-4))^2) = √(169+9) = √178

d3 = √((4-3)^2 +(-7-(-7))^2) = √1 = 1

Then the sum of the distances gives the perimeter:

P = d1 +d2 +d3 = √205 +√178 +1 ≈ 28.6595

_____

In the attached figure, the distance "a" is the sum of the two long sides of the triangle.

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3 years ago

Adam narrowed money to buy a new car. The bank now has a lien on the car. What could happen if Adam doesn't make his payments on

evablogger [386]

The bank will claim the lien. A.K.A, collateral

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3 years ago

A state insurance commission estimates that 13% of all motorists in its state areuninsured. Suppose this proportion is valid. Fi

umka21 [38]

Answer:

79.95% probability that in a randomsample of 50 motorists, at least 5 will be uninsured.

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be 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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .