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3 years ago

I am so confused, can someone help

Mathematics

2 answers:

aniked [119]3 years ago

8 0

Answer:

Well for A, move all terms that don't contain the valiable 'y' to the right side and solve.

Y = 9 − x/2

Y = 9 − $\frac{x}{2}$

For B, it's really similar to A, just isolate the variable 'h' by dividing each side by factors that don't contain the variable 'h', you get the answer,

H = 2a/b

$H = \frac{2a}{b}$

For C, it's exactly the same with B. Isolate the variable 'X' by dividing each side by factors that don't contain the variable 'X', the answer you have is,

X = y/4 - 3/4

X = $\frac{y}{4}$ − $\frac{3}{4}$

marta [7]3 years ago

6 0

Answer:

Step-by-step explanation:

a. To solve for "y" you want to isolate the variable. What this means is you want to keep "y" on its own. To do this first we will subtract 2x from the equation making 4y = 36 - 2x. Next, we will get rid of 4 to do this divide 4 from both sides. y = (36 - 2x)/4

*I have to go in a bit so sry for no explenation*

b. h = 2a/b

c. x = 1/4y + -3/4

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Write an equation for the line parallel to the line 24x+8y=7 through the point (-5, -8).

nikdorinn [45]

Paralelll ines have same slope
in form
ax+by=c
slope=-a/b

point slope form
the equtaiotn of a line that passes through the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)
so
find slope

24x+8y=7
slope=-24/8=-3

a point is (-5,-8)

m=-3

y-(-8)=-3(x-(-5))
y+8=-3(x+5)
y+8=-3x-15
y=-3x-23

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3 years ago

A safety officer wants to prove that μ = the average speed of cars driven by a school is less than 25 mph. Suppose that a random

melomori [17]

Answer:

$t=\frac{24-25}{\frac{2.2}{\sqrt{14}}}=-1.70$

$p_v =P(t_{(13)}$

If we compare the p value and the significance level given $\alpha=0.05$ and we can see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can't conclude that the true average speed is lower than 25 mph at 5% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=24$ represent the sample mean

$s=2.2$ represent the sample standard deviation

$n=14$ sample size

$\mu_o =25$ represent the value that we want to test

$\alpha=0.05$ 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 true mean for the average speed is lower than 25 mph, the system of hypothesis would be:

Null hypothesis: $\mu \geq 25$

Alternative hypothesis: $\mu < 25$

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)

Calculate the statistic

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

$t=\frac{24-25}{\frac{2.2}{\sqrt{14}}}=-1.70$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=14-1=13$

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

$p_v =P(t_{(13)}$

Conclusion

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3 years ago

Draw a number line to represent the inequality<br> y≤20

Elena-2011 [213]

Step-by-step explanation:

the filled in circle represents y possibly being = to 20 and the arrow represents it possibly being less

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Anestetic [448]

Step-by-step explanation:

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3 years ago

Patrick has assets that total $9,500. his liabilities total $1,900. which expression will find patrick’s net worth? 9,500 dollar

Aleksandr-060686 [28]

An expression has numbers, variables, and mathematical operations. Patrick's net worth is represented by the expression $9,500-$1,900.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As it is given that the value of the assets with Patrick is $9,500, while the liabilities are $1,900. Thus, his net worth will be the difference between his assets and his liabilities.

Thus, Patrick's net worth of Patrick can be written as,

$\rm Net\ worth = Assets-Liabilities$

$= \$9,500-\$1,900$

Thus, Patrick's net worth is represented by the expression $9,500-$1,900.

Learn more about Expression:

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2 years ago