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3 years ago

Which part of the algebraic expression 7a - 4 is the constant?

Mathematics

2 answers:

alexira [117]3 years ago

5 0

The answer is 3. 4 because 4 doesn’t have a variable :)

____ [38]3 years ago

3 0

Answer:

Step-by-step explanation:

The answer is 3. 4 because 4 doesn’t have a variable

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Two of the vertices of a rectangle are (1, -6) and ( -8, -6 ) if the rectangle has a perimeter of 26 units what are the coordina

Murrr4er [49]

Answer:

(1, -2)

(-8, -2)

Step-by-step explanation:

(1 , -6) and (-8 , -6)

1 - (-8) = 9

we know that the length of the side that we know the vertices is 9

from there we make an equation with the sum of the sides equal to the perimeter

we will have 2 times 9 and 2 times x beacause it is a rectangle

x + x + 9 +9 = 26

2x + 18 = 26

2x = 26 - 18

2x = 8

x = 8/2

x = 4

Now that we know the missing side we just have to add or subtract this value to the coordinate in and of the vertices we have and we will obtain the missing vertices

(1, -6 + 4)

(1, -2)

( -8, -6+4 )

(-8, -2)

5 0

3 years ago

A battery company produces 12,000 batteries per day. Each day they randomly select 50 to test. If they find that 1 is dead, how

alexgriva [62]

Using the binomial distribution, it is found that they would expect to find 240 dead batteries among the entire 12,000.

For each battery, there are only two possible outcomes, either it was dead or it was not. The probability of a battery being dead is independent of any other battery, hence the binomial distribution is used to solve this question.

<h3>What is the binomial probability distribution?</h3>

It is the <u>probability of exactly x successes on n repeated trials, with p probability</u> of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem, we have that:

One in 50 batteries are dead, hence p = 1/50 = 0.02.

There is a total of 12,000 batteries, hence n = 12000.

Then:

E(X) = np = 12000(0.2) = 240

They would expect to find 240 dead batteries among the entire 12,000.

You can learn more about the binomial distribution at brainly.com/question/24863377

5 0

2 years ago

A pair of perpendicular lines intersect at the point (5,9). Write

maw [93]

Answer:

The equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18

Step-by-step explanation:

The coordinates of the point of intersection of the two lines = (5, 9)

The coordinates of a point on one of the two lines, line 1 = (-4, 4)

The slope of a line perpendicular to another line with slope, m = -1/m

Therefore, we have;

The slope, m₁, of the line 1 with the known point = (9 - 4)/(5 - (-4)) = 5/9

Therefore, the slope, m₂, of the line 2 perpendicular to the line that passes through the point (-4, 4) = -9/5

The equation of the line 2 is given as follows;

y - 9 = -9/5×(x - 5)

y - 9 = -9·x/5 + 9

y = -9·x/5 + 9 + 9

y = -9·x/5 + 18

Therefore, the equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18.

6 0

3 years ago

The manufacturer of an airport baggage scanning machine claims it can handle an average of530 bags per hour.(a-1) At α = .05 in

-Dominant- [34]

Answer:

b. H0: μ < 530. Reject H0 if tcalc > -1.753

Step-by-step explanation:

1) Data given and notation

$\bar X=507$ represent the sample mean

$s=47$ represent the sample standard deviation

$n=16$ sample size

$\mu_o =530$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

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

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is less than 530 (left tailed tes), the system of hypothesis would be:

Null hypothesis: $\mu \geq 530$

Alternative hypothesis: $\mu < 530$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{507-530}{\frac{47}{\sqrt{16}}}=-1.957$

Critical value

Since we are conducting a left tailed test we need to first find the degrees of freedom for the statistic given by:

$df=n-1=16-1=15$

Now we need to look on the t distribution with 15 degrees of freedom that accumulates 0.05 of the area on the left area. And on this case the critical value would be $t_{\alpha}=-1/753$ .

And we can use the following excel code to find it: "=T.INV(0.05,15)"

So then the correct rejection zone for H0 would be: Reject H0 if $t_{calc}$

P-value

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

$p_v =P(t_{(15)}$

Conclusion

If we compare the p value and the significance level for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean is significantly lower than 530 at 5% of significance.

6 0

3 years ago

Simplify each expression. (unit 3<br><br>1. (2x + 3 2/5) + (5x - 4/5)

AysviL [449]

Answer:

7x+28/5

Step-by-step explanation:

7 0

3 years ago