Simplify 8x + 10y + 9x - 3y by identifying and combining like terms. A. 17x + 13y B.24y C.17x+7 D.17x + 7y

Answer:

Step-by-step explanation:

a) All of the arcs show point A is the center of rotation.

__

b) The angle marked at point A is 90°.

__

c) The arrows indicate the direction of rotation is counterclockwise.

Answer:

[tex] z =\frac{9.3 -9.2}{\frac{1.6}{\sqrt{49}}}= 0.4375[/tex]

And for this case we can find this probability using the normal standard table and with the complement rule we got:

[tex] P(z>0.4375) = 1-P(z<0.4375) =1-0.669 = 0.331[/tex]

Step-by-step explanation:

We have the following information given:

[tex] \mu = 9.2[/tex] represent the mean

[tex]\sigma =1.6[/tex] the population deviation

[tex] n =49[/tex] the sample size selected

We want to find the following probability:

[tex] P(\bar X> 9.3)[/tex]

And for this case we can conclude that is a Right tail probability

And in order to solve it we can use the z score formula given by:

[tex] z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

And replacing we got:

[tex] z =\frac{9.3 -9.2}{\frac{1.6}{\sqrt{49}}}= 0.4375[/tex]

And for this case we can find this probability using the normal standard table and with the complement rule we got:

[tex] P(z>0.4375) = 1-P(z<0.4375) =1-0.669 = 0.331[/tex]

Answer:

Expected value of the sampling distribution of P^:

E(p^) = p=0.8

Standard Error(SE) of the Sample Proportion:

√ (p(1-p) / n)=√ (0.8(1-0.8) / 50)=0.0693

Step-by-step explanation:

If you have a large enough sample size, you can use the normal distribution for the sampling distribution of p^.

How large is “large enough”? Use these formulas for a general guideline:

nPp^≥5

n(1-p^)≥5.

Here

50*0.8=40>5

50*(1-0.8)=10>5

Both are above 5, so we can use the normal distribution.

Expected value of the sampling distribution of P^:

E(p^) = p=0.8

Standard Error(SE) of the Sample Proportion:

√ (p(1-p) / n)=√ (0.8(1-0.8) / 50)=0.0693

Hope this will be helpful. Thank and God Bless You :)

Answer: x>-5

Step-by-step explanation:

For this problem there are 2 ways to solve for x.

Solution 1

6((x/2)+4)≥9            [distribute 6 to x/2 and 4]

3x+24≥9                 [subtract 24 on both sides]

3x≥-15                     [divide both sides by 3]

x≥-5        

-----------------------------------------------------------------------------------

Solution 2        

6((x/2)+4)≥9             [divide both sides by 6]

(x/2)+4≥1.5               [subtract 4 on both sides]

x/2≥-2.5                   [multiply 2 on both sides]

x≥-5

Answer:

Step-by-step explanation:

The 1208 km separation distance is closed in 4 hours, so the rate of closure is ...

  (1208 km)/(4 h) = 302 km/h

If s represents the speed of the slower train, then the sum of their speeds is ...

  s + (s+16) = 302

  2s = 286

  s = 143

  s+16 = 159

The slower train's rate is 143 km/h; the faster train's is 159 km/h.

Answer:

1/2

Step-by-step explanation:

There is a 50/50 chance for the coin to land either heads or tails. Convert that to probability and it is 1/2.

The only time a coin would not be 50/50 chance is if the coin is weighted.

Answer:

1/2 is probability

becoz one side is head or one is tail

Answer:

2 hours and 48 minutes

Step-by-step explanation:

Time = Distance/Speed

        = 84/30

        = 2.8 hours

To convert 2.8 hours into hours and minutes, 2.8*60 = 168 minutes. Therefore the time taken to travel 84miles is 2 hours and 48 minutes

Answer:

In hours:

Time = 2.8 hours

In minutes:

Time = 168 minutes

Step-by-step explanation:

Given:

Distance = 84 miles

Speed = 30 mph

Required:

Time = ?

Formula:

Speed = Distance/Time

Solution:

Time = Distance/Speed

Time = 84/30

In hours:

Time = 2.8 hours

In minutes:

Time = 168 minutes

Answer:

0.0004

Step-by-step explanation:

A fair die has 6 faces.

The probability of obtaining a 2  [tex]=\dfrac{1}{6}[/tex]

The probability of a number other than 2 [tex]=\dfrac{5}{6}[/tex]

The experiment consists of tossing a fair die until 2 occurs 7 times.

Therefore, the probability that the process ends after exactly ten tosses with 2 occurring on the ninth and tenth tosses

[tex]=^{10}C_4 \times \left(\dfrac{5}{6}\right)^3 \times \left(\dfrac{1}{6}\right)^7\\\\=0.00043412701 \\ \approx 0.0004 $(correct to 4 decimal places)[/tex]

Answer:

A personality test may be given to assess individual behavior patterns. A personality test may be given to assess individual behavior patterns. This answer has been confirmed as correct and helpful.

Step-by-step explanation:

hopes this helps

Answer:

Interests, values, skill set and basic personality

Step-by-step explanation:

Personality tests are mostly used as an assessment tool be HR managers and employers during the interview process. They can provide a potential employer with information about your interests, values, skill set and even basic personality, which can be very useful to help an employer make a decision about whether you are the best fit for a position.

I hope this helped. I am sorry if you get this wrong.

Answer: Slope: 3, Y-intercept: 3/2

Step-by-step explanation:

x             y

-1         -3/2

-1/2        0

0          3/2

1/2         3

Since we are given an x,y table, we can easily spot the y-intercept. The y-intercept has the x value of 0. Therefore, the y-intercept is 3/2.

Now, we can use the formula [tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex] to find the slope.

[tex]m=\frac{\frac{3}{2} -0}{0-(-\frac{1}{2})}[/tex]

[tex]m=\frac{\frac{3}{2} }{\frac{1}{2} } =\frac{3}{2} *2=3[/tex]

Slope: 3

Y-intercept: 3/2

Answer:

Slope: 3, Y-intercept: 3/2

Step-by-step explanation:

Edge 2020

Answer:

a) Percentage of standardized test takers that scored 550 or less = 76.4%

b) Percentage of standardized test takers that scored 524 = 0.782%

Step-by-step explanation:

This is a normal distribution problem with

Mean = μ = 514

Standard deviation = σ = 50

a) Percentage of standardized test takers scored 550 or less = P(x ≤ 550)

We first normalize or standardize 550

The standardized score for any is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (550 - 514)/50 = 0.72

To determine the required probability

P(x ≤ 550) = P(z ≤ 0.72)

We'll use data from the normal distribution table for these probabilities

P(x ≤ 550) = P(z ≤ 0.72) = 0.76424 = 76.424%

The normal curve for this question and the b part are sketched in the first attached image to this solution.

b) Percentage of standardized test takers that scored 524 = P(x = 524)

On standardizing,

z = (x - μ)/σ = (524 - 514)/50 = 0.20

For this part, since it's an exact probability, we will use the normal distribution formula

P(z = Z) = [1/(σ√2π)] × e^(-z²/2)

Since z = (x - μ)/σ

It can be written properly as presented in the second attached image to this question.

Putting x = 524 or z = 0.20 in this expression, we get

P(x = 524) = P(z = 0.20) = 0.0078208539 = 0.782%

Hope this Helps!!!

Answer:-5.25x-21

Step-by-step explanation:7 * -3/4x = -5.25x

                                              7  * -3 = -21

                                                 7(-3/4x-3)= -5.25x - 21

Answer:

[tex] P(z> \frac{(69.3-64)-0}{\sqrt{2.74^2 +2.7^2}}) =P(z>1.38)[/tex]

and we can find this probability using the complement rule and we got:

[tex] P(z>1.38)=1-P(z<1.38) = 1-0.9162= 0.0838[/tex]

So then we can conclude that approximately 8.38% of the men are taller than women

Step-by-step explanation:

Let X the random variable who represent the heights of women aged 20 to 29 and the distribution is given by:

[tex] X \sim N(64, 2.74)[/tex]

And let Y the heights of men aged 20 to 29 and the distribution for Y is given by:

[tex] Y \sim N(69.3, 2.7)[/tex]

And for this case we want to find the following probability:

[tex] P(Y>X) = P(Y-X >0)[/tex]

The distribution for Y-X is given by:

[tex] Y-X \sim N (\mu_Y -\mu_X , \sqrt{\sigma^2_Y +\sigma^2_X})[/tex]

We can define the random variable Z= Y-X and the we can use the z score formula given by:

[tex] z =\frac{z -\mu_z}{\sigma_z}[/tex]

And using the z score formula we got:

[tex] P(z> \frac{(69.3-64)-0}{\sqrt{2.74^2 +2.7^2}}) =P(z>1.38)[/tex]

and we can find this probability using the complement rule and we got:

[tex] P(z>1.38)=1-P(z<1.38) = 1-0.9162= 0.0838[/tex]

So then we can conclude that approximately 8.38% of the men are taller than women

Step-by-step explanation:

We know that according to the Pythagorean Theorem, a+b>c. 12+10 is 22, ao the third side is less than 22.

The range of possible measures for the third side is between 2 to 12.

Given that,

The two sides of a triangle have measures 12 & 10.

We have to determine,

The range of possible measures for the third side.​

According to the question,

To find the range of the third side of the triangle by using the triangle inequality theorem.

Let, the third side of the triangle be x.

Then, by the triangle inequality theorem, we have the following three true statements.

[tex]x+ 12> 10\\\\x + 10 > 12\\\\10 + 12 > x[/tex]

These three statements come from the fact that the sum of any two sides of a triangle must sum to a length greater than the length of the third side of the triangle.

Solve the inequality for the value of x in all three of the inequalities.

[tex]x > -2\\\\x>2 \\\\12>x[/tex]

All three of these must be true at the same time.

That is x>2, x>−2, and x<12.

Two of these statements can be compressed into one, though. For, if x>2 and x>−2, we can just say that x>2, because that accounts for both of those inequalities.

There are 2 terms left with only two statements. x>2 and x<12, which can be written as,

[tex]2<x<12[/tex]

Hence, The range of possible measures for the third side is between 2 to 12.

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Answer:

The equation in point slope form would be D

Step-by-step explanation:

The equation in letters would be y-[tex]y_{1}[/tex]=m(x-[tex]x_{1}[/tex]). You plug it in and you will get the answer.

The equation of the line in point-slope form with a slope of 3 and contains the point (-1, 4) is y - 4 = 3(x + 1). So, option D. is the correct option.

A relation between x and y, which when plotted on a coordinate plane, gives a straight line is a linear equation.

The equation of a line with a slope m and passing through the points (x₁, y₁) is given by:

y - y₁ = m(x - x₁).

This form is the point-slope form of a linear equation.

We are informed that the line has a slope of 3 and contains the point

(-1, 4). Going by the point-slope form, we have m = 3, x₁ = -1, and y₁ = 4.

Substituting these values in the equation, we get

y - 4 = 3(x - (-1))

or, y - 4 = 3(x + 1), which is option D.

∴ The equation of the line in point-slope form is y - 4 = 3(x + 1).

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Answer:

learn by pemdas

Step-by-step explanation:

do the parathensis and then go by what pemdas says by letter and there is ur answer

Answer:

f(x) = x-3

Step-by-step explanation:

Solve for y

x-y = 3

Subtract x from each side

-y = -x+3

Multiply by -1

y = x-3

Replace y with f(x)

f(x) = x-3

Answer:

Step-by-step explanation:

To find the extremum of the function, you need to take the first derivative.[tex]f'(x) = (-x)'e^{-x/4} + (-x) (e^{-x/4})'[/tex]

[tex]= e^{-x/4}(\frac{x-4}{4} )[/tex]

This derivative = 0 if and only if x - 4 = 0, hence the extremum is at x = 4

To consider if it is local max or min, you need to consider the act of the function before and after x = 4 by making a table.

[tex]-\infty[/tex]                                        4                                       [tex]+\infty[/tex]

f(x)                 -                       0                +

                     [tex]\searrow[/tex]                                         [tex]\nearrow[/tex]

Hence x =4 is a  local min.

Answer:

60°

Step-by-step explanation:

Two angles are complementary if one of the angles is double the other angle find the two angles

Complementary angles mean that the two angles, when added together, equal 90°. Let's call the first angle x, and its second, complementary angle 2x. So, we have x + 2x = 90. ... The second angle, 2x, is just twice the first angle, so its measurement is 60°.

Answer:I believe that it is A but i am not fully sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

Consider X to be the matrix whose columns are the values for our 50 examples. The normal equation gives us the values of [tex]\theta[/tex] in the following way

[tex] \theta = (X^{T}X)^{-1}X^{T}y[/tex]

The matrix [tex]X^{T}X[/tex] however, might not be invertible when [tex]m\leq n[/tex]. So we must use the pseudo inverse to solve the problem. For a big number of features, calculating the pseudoinverse might be computational expensive. So, gradient descent should be prefered.

Answer:

His weekly exercise time goal is 168 minutes.

Step-by-step explanation:

This question can be solved using a rule of three.

42 minutes is 25% = 0.25 of the total

x minutes is 100% = 1 of the total.

Then

42 minutes - 0.25

x minutes - 1

[tex]0.25x = 42[/tex]

[tex]x = \frac{42}{0.25}[/tex]

[tex]x =  168[/tex]

His weekly exercise time goal is 168 minutes.

Answer:

The statistical test to be used is the paired t-test.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired-samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference between these two means.

We use the paired t-test if we have two measurements on the same item, person or thing. We should also use this test if we have two items that are being measured with a unique condition.

For instance, an experimenter tests the effect of a medicine on a group of patients before and after giving the doses.

Similarly, in this case a paired t-test would be used to deter whether there was any changes in the cholesterol level within each group as result of the treatment.

Thus, the statistical test to be used is the paired t-test.

Answer:

Check Explanation

Step-by-step explanation:

The volume of concrete required to build the bridge is missing and should be provided.

In its absence, let us assign a letter to it.

Let the volume of concrete required to build the bridge be V ft³.

And we further assume that the concrete is the only major material needed to build the bridge for the sake of our question.

Density = (mass/volume)

Density = 150 lb/ft³

Mass = ?

Volume = V ft³

Mass = (Density) × (Volume)

Mass of concrete required = 150 × V = (150V) lb

Cost of concrete is 0.80 per lb

1 lb of concrete costs 0.80

150V of concrete will cost 150V × 0.80 = (120V) currency amount.

Now, depending on the value of V, we can now determine if the city planning commission (cpc) can afford the bridge.

If 120V > 300,000 budget, the cpc cannot afford the bridge, but if 300,000 budget > 120V, then the cpc can afford the bridge.

Hope this Helps!!!

Answer:

5/24

Step-by-step explanation:

The graph of this probability function is a straight horizontal line.  Since the area under a probability curve must be 1.000, the magnitude of this particular probability function is 1 / (47 - 23), or 1 / 24.

Therefore, the probability that the random vehicle gets between 25 and 30 mpg is the area under this "curve" between x = 25 and x = 30:

P(between 25 and 30 mpg) = (5 mpg)(1 / 24) = 5/24, or approximately 0.208.

The probability that a random vehicle gets between 25 and 30 miles per gallon is 5/24.

Rolling a standard dice is one such instance of a uniform probability distribution. Each of the sides numbered one through six has an equal chance of being rolled, assuming the die is fair. Since there are six options, there is a 1/6 chance that a two will be rolled.

Given:

Miles per gallon of a vehicle is a random variable with a uniform distribution from 23 to 47.

This probability function's graph is a simple horizontal line.

As, the magnitude of the probability function

= 1 / (47 - 23)

= 1 / 24.

So, the probability that the random vehicle gets between 25 and 30 mpg  between x = 25 and x = 30

= (5 mpg)(1 / 24)

= 5/24

= 0.208.

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Answer:

The Answer Is A

Step-by-step explanation:

I know this because i took the test on edge and got 100%.

Answer:

A

Step-by-step explanation:

Cause I am right

Answer:  Side B'A' has a slope of 1 and is parallel to side BA.

The slope of BA and slope of B'A' are the same that is 1. So, the correct option is B). Side B'A' has a slope of 1 and is parallel to side BA and this can be determined by finding the slope of sides BA and B'A'.

Given :

Evaluate the slope of BA and B'A' in order to determine which statement is correct.

The slope of BA is given by:

[tex]\rm m_1 = \dfrac{y_2-y_1}{x_2-x_1}\\[/tex]

Now, put the values of [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above equation.

[tex]\rm m_1 = \dfrac{5-3}{3-1}[/tex]

[tex]\rm m_1 = 1[/tex]

After the rotation of [tex]180^\circ[/tex] point (x,y) becomes (-x,-y). So, point A(3,5) becomes A'(-3,-5) and point B(1,3) becomes B'(-1,-3).

The slope of B'A' is given by:

[tex]\rm m_2 = \dfrac{y_2-y_1}{x_2-x_1}\\[/tex]

Now, put the values of [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above equation.

[tex]\rm m_2 = \dfrac{-5+3}{-3+1}[/tex]

[tex]\rm m_2 = 1[/tex]

Therefore, the slope of BA and slope of B'A' are the same that is 1. So, the correct option is B). Side B'A' has a slope of 1 and is parallel to side BA.

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Answer:

4/5, or 0.8.

Step-by-step explanation:

Since sin is equal to opposite over hypotenuse, and the opposite of side A is BC which equals 4 and the hypotenuse is 5, we then get BC/AB, which is thus, 4/5.

Answer:

25%

I cannot really describe how I did it but I am pretty sure it is correct.

Answer:

a) The p-value obtained from the one-proportion applet is more valid because a z-test statistic shouldn't have been used for the other obtained p-value. Check Explanation for more Explanation.

b) No, there isn't enough evidence to suggest that a spun penny will land heads more that 20% of the time in the long run.

Step-by-step explanation:

The p-value for this problem was obtained from a one proportion simulation applet and another obtained using a one proportion z-test p-value.

But one of the conditions for the use of the z-test or the z-distribution in obtaining the p-value is that information on the population mean and standard deviation should be known or the sample size should be large enough such that the properties of the sample should approximate the properties of the the population distribution.

But for this question and hypothesis test, the sample that the we are working with is only of sample size 12 with no information on the population standard deviation provided, hence, the p-value obtained from the z-test statistic one proportion test is not a valid enough one due to this reason.

Plus, on calculating this p-value manually, it was obtained to be 0.078, to justify this explanation as it is very close to.the value obtained using the simulation applet.

Manual way of calculating

t = (x - μ)/σₓ

x = 5/12 = 0.41667

μ = p₀ = 0.20

σₓ = standard error = √[p(1-p)/n]

where n = Sample size = 12

σₓ = √[0.4167×0.5833/12] = 0.1423

t = (0.4167 - 0.20) ÷ 0.1423

t = 1.52

checking the tables for the p-value of this t-statistic

Degree of freedom = df = n - 1 = 12 - 1 = 11

Significance level = 0.05 (This is used when no significance level is provided in the question)

The hypothesis test uses a one-tailed condition because we're testing only in one direction.

p-value (for t = 1.52, at 0.05 significance level, df = 11, with a one tailed condition) = 0.07836

b) To know which conclusion to draw, we need to first define the null and alternative hypothesis.

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

For this question, the null hypothesis is that there isn't enough evidence to suggest that a spun penny will land heads more that 20% of the time in the long run.

And the alternative hypothesis is that there is enough evidence to suggest that a spun penny will land heads more that 20% of the time in the long run.

Mathematically, if p is the proportion of times the spun penny will turn up heads in the long run,

The null hypothesis is represented as

H₀: p ≤ 0.20

The alternative hypothesis is represented as

Hₐ: p > 0.20

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.05 (usually used when the significance level for the test isn't specified)

p-value = 0.0770

0.0770 > 0.05

Hence,

p-value > significance level

This means that we fail to reject the null hypothesis & say there isn't enough evidence to suggest that a spun penny will land heads more that 20% of the time in the long run.

Hope this Helps!!!

Step-by-step explanation:

we can use o as the center of the circle

OB=13

EB=12

OE=?

OE^2 +EB^2=OB^2

OE^2+12^2=13^2

OE^2=169-144

OE=

√25

OE=5

OC=OE+EC

EC =13-5

EC=8