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4 years ago

Please answer this correctly

Mathematics

1 answer:

strojnjashka [21]4 years ago

4 0

Answer:

Step-by-step explanation:

look at the laptop so there was 1 gal and 1 qt it's 0.75 gallons and 3 quarts

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What is the greatest common factor of x^4 and x^3<br> X<br> X^2<br> X^3<br> X^4

choli [55]

Answer:

The correct option would be x^3

Step-by-step explanation:

The amount that you can take away from both of the numbers would be the correct answer.

The answer would basically be the lowest number that is there

Say you have x^7 and x^4

The GCF would be x^4

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3 years ago

I need help on math (polz dont give helpless answer)

o-na [289]

Answer:

free points cuz this was five days ago!! LETS GOOOOOO

Step-by-step explanation:

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3 years ago

A population has mean 187 and standard deviation 32. If a random sample of 64 observations is selected at random from this popul

Zina [86]

Answer:

11.51% probability that the sample average will be less than 182

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:

$\mu = 187, \sigma = 32, n = 64, s = \frac{32}{\sqrt{64}} = 4$

What is the probability that the sample average will be less than 182

This is the pvalue of Z when X = 182. So

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

By the Central Limit Theorem

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

$Z = \frac{182 - 187}{4}$

$Z = -1.2$

$Z = -1.2$ has a pvalue of 0.1151

11.51% probability that the sample average will be less than 182

8 0

3 years ago

X¾(√y/x)y⅝=x^my^n, find n^m

Blababa [14]

Hooke's law says that the force produced by a spring is proportional to the displacement (linear amount of stretching or compressing) of that spring:

F = -kx

where k is called the force constant or spring constant of the spring. Each spring has its own force constant.

The diagram defines all of the important dimensions and terms for a coil spring. For each mass hung on it (the mass could be zero), a spring has some natural length, at which it is neither compressed (shortened) or extended (lengthened). At that point, the upward force produced by the spring is exactly balancing the gravitational force on the mass and spring (remember that the spring itself has mass).

We define the coordinate x so that it is negative when the spring is compressed, zero at the natural length and positive when the spring is extended. The minus sign in F = -kx is there by convention; we think of F as the restoring force. When the spring is compressed, a positive force is required to extend it, and when it is extended, a negative force is required to shorten it, or restore it to its natural length.

If the spring is strong or stiff, k will be large, and k will be small for a weak spring.

Hooke's law is applicable not only to coil springs like the one shown here, but also to the bending of metal and some other materials, the stretching of wires like guitar strings, the stretching of rubber bands, and the stretching and compressing of chemical bonds.

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3 years ago

If f(x)=3x^2 +1 and g(x)=1-x, what is the value of (f-g)(2)

liraira [26]

$(f-g)(x)=3x^2+1-(1-x)=3x^2+1-1+x=3x^2+x\\\\ (f-g)(2)=3\cdot2^2+2=14$

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3 years ago