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2 years ago

Fill in the blank: Some of the most common symbols used in formulas include

Mathematics

1 answer:

Luda [366]2 years ago

7 0

These symbols are called operators.

Mathematics is the science that relates everyday practices and nature to human reasoning and numerical logic.

<h3>Math Operations</h3>

The four basic math operations are present in your day-to-day life, for example: when you pay your bills. The math operations are:

addition - represented by symbol "+"
subtraction - represented by symbol "-"
multiplication - represented by symbol "x"
division - represented by symbol "÷"

These symbols, also, are known as arithmetic operators.

Note that in math expressions, it is necessary to apply the rule of operations: parentheses, exponents, multiplication/division, and addition/subtraction.

Learn more about math operations here:

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Find the equation of the linear function represented by the table below in slope-

pav-90 [236]

Answer: $y=-3x-2$

Step-by-step explanation:

Using the values $x=-2, y=4$ and $x=1, y=-5$ , the slope is $\frac{-5-4}{1-(-2)}=-3$ .

So, the equation is:

$y-4=-3(x+2)\\\\y-4=-3x-6\\\\y=-3x-2$

3 0

1 year ago

If r = 9, b = 5, and g= −6, what does (r + b − g)(b + g) equal?

r-ruslan [8.4K]

Answer:

-20

Step-by-step explanation:

(r + b − g)(b + g)

we have fom statement:

r = 9

b = 5

g= −6

so we have:

(r + b − g)(b + g)= (9+5-(-6))*(5+(-6))

(r + b − g)(b + g)= (14+6)*(-1)

(r + b − g)(b + g)= -20

8 0

3 years ago

Figure ABCD is similar to figure MNKL. Write a proportion that contains BC and KL.

joja [24]

B/C = K/L because they are similar

7 0

3 years ago

In doing so, you collect a random sample of 50 salespersons employed by his company, which is thought to be representative of sa

Deffense [45]

Answer:

$z=\frac{0.36 -0.45}{\sqrt{\frac{0.45(1-0.45)}{50}}}=-1.279$

$p_v =P(z$

And we can use the following code to find it "=NORM.DIST(-1.279,0,1,TRUE)"

Step-by-step explanation:

Assuming this complete problem: "The CEO of a software company is committed to expanding the proportion of highly qualified women in the organization's staff of salespersons. He believes that the proportion of women in similar sales positions across the country is less than 45%. Hoping to find support for his belief, he directs you to test

H0: p .45 vs H1: p < .45.

In doing so, you collect a random sample of 50 salespersons employed by his company, which is thought to be representative of sales staffs of competing organizations in the industry. The collected random sample of size 50 showed that only 18 were women.

Compute the p-value associated with this test. Place your answer, rounded to 4 decimal places, in the blank. For example, 0.3456 would be a legitimate entry."

1) Data given and notation

n=50 represent the random sample taken

X=18 represent the number of women in the sample selected

$\hat p=\frac{18}{50}=0.36$ estimated proportion of women in the sample

$p_o=0.45$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the proportion of women is less than 0.45:

Null hypothesis: $p\geq 0.45$

Alternative hypothesis: $p < 0.45$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.36 -0.45}{\sqrt{\frac{0.45(1-0.45)}{50}}}=-1.279$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

Since is a left tailed test the p value would be:

$p_v =P(z$

And we can use the following code to find it "=NORM.DIST(-1.279,0,1,TRUE)"

4 0

3 years ago

What is the simplified form of the quantity x over 3 plus y over 4 all over the quantity x over 4 minus y over 3? the quantity 4

STatiana [176]

Answer:

Option A) $\frac{4x+3y}{3x-4y}$

Step-by-step explanation:

The given expression is:

$\frac{\frac{x}{3}+\frac{y}{4}}{\frac{x}{4}-\frac{y}{3}}$

Taking LCM in upper and lower fractions, we get:

$\frac{\frac{x}{3}+\frac{y}{4}}{\frac{x}{4}-\frac{y}{3}}\\\\ =\frac{\frac{4x+3y}{12}}{\frac{3x-4y}{12}}\\\\\text{Cancelling out the common factor 12, we get:}\\\\ =\frac{4x+3y}{3x-4y}$

Therefore, the option A gives the correct answer.

6 0

3 years ago