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3 years ago

Which lists all the integer solutions of the equations |x| = 10?

Mathematics

1 answer:

Ratling [72]3 years ago

7 0

Answer:

D -10 and 10

Step-by-step explanation:

so what ever you put in x has to equal 10

so if you put in -10 the absolute value of -10 is 10 and 10 is = to 10

same thing with 10

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Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.5 feet and a standard deviation o

Hitman42 [59]

Answer:

0.0668 = 6.68% probability that an individual man’s step length is less than 1.9 feet.

Step-by-step explanation:

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.

Normally distributed with a mean of 2.5 feet and a standard deviation of 0.4 feet.

This means that $\mu = 2.5, \sigma = 0.4$

Find the probability that an individual man’s step length is less than 1.9 feet.

This is the p-value of Z when X = 1.9. So

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

$Z = \frac{1.9 - 2.5}{0.4}$

$Z = -1.5$

$Z = -1.5$ has a p-value of 0.0668

0.0668 = 6.68% probability that an individual man’s step length is less than 1.9 feet.

3 0

3 years ago

HELP ME PLEASE IM DUMB

dolphi86 [110]

Answer: sorry

Step-by-step explanation:

8 0

3 years ago

Multiply. (-5 5/8) • (-2 1/3) What is the product?

lions [1.4K]

Answer:

105/8 = 13 1/8 = 13.125

Step-by-step explanation:

The first step is to turn the (-5 5/8) into a mixed number. The mixed number you should be getting is - 45/8. The second step is to convert the (-2 1/3) into a mixed number as well, your second mixed number should be -7/3. Next multiply the two fractions, - 45/8 x (-7/3) = 315/24.

We can simplify 315/24 by dividing by 3, so you'll divide 315 divided by 3 and 24 divided by 3 and you should get ... 105/8. So 105/ 8 is equal to

13 1/8. If you need this fraction in decimal form it is 13.125.

6 0

1 year ago

Express the sum of 3x³ - 7x² +2 and -x³ +9x² - 5<br> as a trinomial

saw5 [17]

2x³ + 2x² - 3 is the cubic trinomial that is expressed as the sum of 3x³ - 7x² +2 and -x³ +9x² - 5.

Given: To express the sum 3x³ - 7x² +2 and -x³ +9x² - 5 of as a trinomial.

What are algebraic equations?

Algebraic equations are a sequence or combination of characters containing variables, alphabets, numbers, symbols, etc. which are equated to some value.

What are polynomials?

Polynomials are algebraic expressions that consist of variables, coefficients, and operators. A polynomial is usually depicted as the sum of m terms for some unknown variable x, raised to the power of n with some constants.

For example: Let us consider p(x) to be a polynomial of degree n. The p(x) can be represented as

p(x) = Cₙ xⁿ + Cₙ₋₁xⁿ⁻¹ . . . . . . . + m terms . . . . . + K (where K is some constant and C's are coefficients of x)

What are trinomials?

Trinomials are algebraic expressions that consist of three non-zero terms or monomials.

For example: f(x) = x + y + z is a linear trinomial of 3 variables x, y, and z.

f(x) = x² + 4x + 1 is a quadratic trinomial of 1 variable x and so on.

Let's solve the problem:

Consider f(x) = 3x³ - 7x² +2 and g(x) = -x³ +9x² - 5

We have to express it as a sum of trinomials.

We can see both f(x) and g(x) are Cubic trinomials of one variable x and the lower degrees of x are the same.

So f(x) + g(x) will also given a cubic trinomial of one variable x

f(x) + g(x) = (3x³ - 7x² +2) + (-x³ +9x² - 5)

Grouping similar terms

f(x) + g(x) = (3x³ - x³) + (-7x² + 9x²) + (2 - 5)

f(x) + g(x) = 2x³ + 2x² - 3

Therefore, the required trinomial is 2x³ + 2x² - 3.

Hence 2x³ + 2x² - 3 is the cubic trinomial that is expressed as the sum of 3x³ - 7x² +2 and -x³ +9x² - 5.

Know more about "trinomials" here: brainly.com/question/16347049

#SPJ9

6 0

2 years ago

A zebra ran at a speed of 20 feet per second.what operation should you use to find the distance the zebra ran i 10 seconds?

Nookie1986 [14]

The operation you should use is division

4 0

4 years ago

Read 2 more answers