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2 years ago

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Mathematics

1 answer:

TiliK225 [7]2 years ago

5 0

Answer:

Step-by-step explanation:

First, you want to do inverse operations like I said on the last equation

Just divide -4 with 64

You have to flip the inequality sign because you divided by a negative

Answer: g ≥ -16

Now what is greater than or equal to -16?

Answer =

-16

-11

-6

-13

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Solve for x. 3x - 13 = 2 (SHOW YOUR WORK)

Eddi Din [679]

3x-13=2

move -13 to the other side

sign changes from -13 to +13

3x-13+13=2+13

3x=2+13

3x=15

divide both sides by 3 to get x by itself

3x/3=15/3

cross out 3 and 3, divide by 3 and then becomes 1*1*x=x

x=15/3

x=5

answer:

x=5

7 0

3 years ago

A marina is in the shape of a coordinate grid. Boat A is docked at (3.1, −1) and Boat B is docked at (−4.1, −1). The boats are _

kirill115 [55]

Answer:

d = 7.2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra II

Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Boat A(3.1, -1)

Boat B(-4.1, -1)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

Substitute [DF]: $d = \sqrt{(-4.1-3.1)^2+(-1+1)^2}$
Subtract/Add: $d = \sqrt{(-7.2)^2+(0)^2}$
Exponents: $d = \sqrt{51.84}$
Evaluate: $d = 7.2$

8 0

2 years ago

Read 2 more answers

#10 - Alvin ate 1/3 of a pizza for dinner and took 1/6 of eight for lunch the next day. How much of the pizza does he have left?

Delvig [45]

He has 1/2 of the pizza left.

8 0

2 years ago

Consider the probability that no less than 96 out of 145 people will not get the flu this winter. Assume the probability that a

dsp73

Answer:

0.1324 = 13.24% probability that no less than 96 out of 145 people will not get the flu this winter.

Step-by-step explanation:

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 $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .