A square and rectangle the same perimeter. Each side of the square measures 4x+4 units. The rectangle measures x and 2x+13 units on opposite sides. Find the value of x and the perimeter of the figure?

Answer:

The slope is y=-2x.

If solving the equation for the line it is y=-2x-1

The axis of symmetry of the equation f(x) = - 3x ^ 2 + 13x + 10 is

The axis of symmetry is calculated

= -b / 2a

The quadratic equation is an equation of the form

ax^2 + bx + c

Comparing the given equation f(x) = - 3x^2 + 13x + 10 with ax^2 + bx + c the values of the axis of symmetry is

x = -b / 2a

x = -13 / 2(-3)

x = -13 / -6

x = 13/6

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The missing step was 2x-6+10x= 15+5x, the step where was applied the distributive property.

Applying the distributive property, the given radical expression can be represented by 15.

The properties of multiplication are:

For answering the question, you should solve the given expression step by step. After that, you should identify the missing step from the information given for the question.

The question gives:  2(x-3) + 10x = 5(3 + x), from the distributive property. you have

2x-6+10x= 15+5x     (step 1)

2x -5x +10x = 15+6  (step 2)

7x=21                       (step 3)

x=3                          (step 4)

See that step 1 (2x-6+10x= 15+5x ) is not shown in the question.

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Answer:

B. Falls

Step-by-step explanation:

Answer: -2

Step-by-step explanation:

(x - 5) (x + 2) = 0

(x - 5) = 0

(x - 2) = 0

Add 5 to both sides, then simplify. After that, you will subtract 2 from both sides. Simplify again, and the solution is -2.

The amount of ham Ms.D  has left is [tex]6\frac{3}{4}[/tex] pounds.

Ms.D bought [tex]8\frac{1}{2}[/tex] pounds of ham from Excellente Hambaked Shop.  She gave [tex]1\frac{3}{4}[/tex] pounds of ham to Mr.Chavir. The number of pounds of ham she has left can be calculated as follows:

Hence, the amount of hams in pounds she has left is the difference between what she had and the amount of pounds of hams she gave to Mr Chavir.

Therefore,

Amount bought by Ms.D  = [tex]8\frac{1}{2}[/tex] pounds

Amount given to Mr.Chavir.  = [tex]1\frac{3}{4}[/tex] pounds

Therefore,

Amount of she has left = [tex]8\frac{1}{2}[/tex] - [tex]1\frac{3}{4}[/tex]

Amount of she has left = [tex]\frac{17}{2} - \frac{7}{4}[/tex]

Amount of she has left = [tex]\frac{34-7}{4}[/tex]

Amount of she has left = [tex]\frac{27}{4}[/tex]

Amount of she has left = [tex]6\frac{3}{4}[/tex] pounds

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the probability that a randomly selected set of 2 will include 1 a and 1 b is 35/66

The probability is equal to the variety of possible outcomes. the total number of outcomes that could occur. For instance, there is only one way to get a head and there are a total of two possible outcomes, so the probability of flipping a coin and getting heads is 1 in 2. Writing P(heads) = 12

Classical

Empirical

Subjective.

Axiomatic

There are 66 equally likely outcomes, or C(5+7,2) =C(12,2)=66 possible outcomes. Only C(5,1)*C(7,1)=35 of these contain 1A and 1B. thus, the likelihood is 35/66.

The value of the solution is 35/66

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Yes, if Trapezoid abcd has vertices a(2, 4), b(5, 4), c(7, 1), and d(0, 1) , ABCD is an isosceles trapezoid.

Since, If in a trapezoid two opposite nonparallel sides are equal then it is called isosceles trapezoid.

In trapezoid ABCD sides are AB, BC, CD and DA.

According to the question,  A≡(2,4) B≡(5,4) C≡(7,1) and D≡(0,1)

After making the diagram of ABCD, we found that DA and BC are nonparallel sides.

And, by the distance formula BC = √((7 - 5)² + (1 - 4)²) =

⇒ BC =√(4 + 9)

⇒BC = √13 unit.

Similarly, DA = √((0 - 2)² + (1 - 4)²)

DA  = √(4 + 9)

⇒ DA  = √13 unit.

Thus, In trapezoid ABCD, two non parallel sides BC and DA are equal.

Therefore, trapezoid ABCD is a isosceles trapezoid.

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Answer:

x = -7

Step-by-step explanation:

4x + 16 = -12   Subtract 16 from both sides

4x = -28  Divide both sides by 4

x = -7

Answer:

x = -7

Step-by-step explanation:

1. Subtract 16 from both sides

4x + 16 = -12

4x + 16 - 16 = -12 -16

2. Simplify

Subtract the numbers:

4x + 16 - 16 = -12 - 16

4x = -12 - 16

Subtract the numbers:

4x = -12 - 16

4x = -28

3. Divide both sides by the same factor

4x = -28

[tex]\frac{4x}{4}[/tex] = [tex]\frac{-28}{4}[/tex]

4. Simplify

Cancel terms that are in both the numerator and denominator:

[tex]\frac{4x}{4}[/tex] = [tex]\frac{-28}{4}[/tex]

x = [tex]\frac{-28}{4}[/tex]

Divide the numbers:

x = [tex]\frac{-28}{4}[/tex]

x = -7

Solution:

x = -7

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Answer: 195/22 or 8[tex]\frac{19}{22}[/tex]

Step-by-step explanation:

The probability that the marksman hits the target at most 13 times is 11.57.

Define binomial probability.

The likelihood of precisely x successes on n further trials in an experiment with two possible outcomes is known as a binomial probability (commonly called a binomial experiment). A random variable's binomial probability is indicated by the notation X B(n, p) (where the prefix stands for "has distribution..."). The distribution's parameters are known as n and p.

The binomial probability is nCx⋅px⋅(1−p)n−x when the probability of success on a given trial is p. In this case, nCx denotes the number of various combinations of x objects chosen from a set of n objects.

Solution Explained:

Given,
P(HT) = 0.89

so if we multiply the chances of hitting he target with 13, we get

P(H13) = 0.89 X 13 = 11.57

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A. There is enough data to conclude that the average one-time gift giving exceeds $75. with a 5% loss

B. The probability of receiving a sample mean one-time gift donation of $80 or more is the p-value.

What is a p-value?

The p-value, under the assumption that the null hypothesis is true, is the likelihood of receiving findings from a statistical hypothesis test that are at least as severe as the observed results. The p-value provides the minimal level of significance at which the null hypothesis would be rejected as an alternative to rejection points. The alternative hypothesis is more likely to be supported by greater evidence when the p-value is lower.

P-value is frequently utilized by government organizations to increase the credibility of their research or reports. The United States Census Bureau, for instance, mandates that any analysis with a p-value higher than 0.10 be accompanied by a statement stating that the difference is not statistically significant from zero.

A)

One wants to determine whether there is any proof that the average one-time gift giving exceeds $75.

The right response is thus E, i.e. E. H0:75 Vs H1:>75

Track down the test statistic.

n=54(sample size) (sample size)

Observed mean: 80

Observed standard deviation: 12

valid value=75

test statistic = (12[tex]\sqrt54[/tex])/(80-75)=3.06

Get the p-value by using the R-command shown below:

Lower. Tail=FALSE, p norm (3.06, 0, 1)

There is a 0.001 p-value.

What is the result of this experiment?

At a 5% threshold of significance, we reject H0 since the p-value is less than 0.05. (Los).

A. Dismiss the null theory. There is enough data to conclude that the average one-time gift giving exceeds $75. with a 5% loss

B)

In this situation, explain what the p-value means.

Take into account that the sample mean (Xbar) has a mean of 75 and a standard deviation of 12[tex]\sqrt54[/tex].

The chance that (Xbar) is larger than 80 is then equal to the p-value that was determined before.

The probability of receiving a sample mean one-time gift donation of $80 or more, given that the population mean one-time gift donation is $75, is represented by the p-value, which is B.

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The test statistic is  3.10

Hypothesis :

In statistics, hypothesis testing is used to identify the variance in the group of data that results from genuine variation. Based on the presumptions, the sample data are taken from the population parameter. The hypothesis can be divided into many categories. A hypothesis is described in statistics as a formal statement that explains the relationship between two or more variables belonging to the specified population. It aids the researcher in converting the stated issue into an understandable justification for the study's findings. It provides examples of various experimental designs and guides the investigation of the research procedure.

Complete question:

In this scenario what is the test statistic? • The digital marketing specialist would like to test the claim that the percent of customers who use online coupons when making an online purchase is different than 75% Sample size = 80 online customers • Sample proportion = 0.90 Calculate the test statistic using the formula: P-Po where • p = sample proportion, n sample size, and po - population proportion under the null hypothesis Round your answer to 2 decimal places. Provide your answer below:

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Answer: 50 sides

Step-by-step explanation:

a decagon has 10 sides and 2 decagons have 20 sides total

a hexagon has 6 sides and 5 hexagons have 30 total

20 + 30 = 50

Therefore the answer is 50 sides

The required confidence interval for the difference of means is (-18.52, -13.48).

Statisticians use  confidence intervals to gauge vulnerability in an example variable. For instance, a scientist chooses various examples haphazardly from a similar populace and registers a certainty span so that each example might be able to perceive how it might address the genuine worth of the populace variable. The subsequent datasets are different where a few stretches incorporate the genuine populace boundary and others don't.

[tex]n_{a}[/tex] = 18 represent the sample of A

[tex]n_{b}[/tex] = 18 represent the sample of B

μₐ = 39 represent the mean sample  for A

μᵇ =  represent the mean sample for B  

σ = 9 represent the sample deviation for A

σ = 6 represent the sample deviation for B

α = 0.01 represent the significance level

Confidence =99% or 0.99

confidence interval for the difference of means is given by the following formula,

μₐ - μᵇ± [tex]t_{\frac{α}{2}}[/tex][tex]\sqrt{\frac{S_{a}}{n_{a}} +\frac{S_{b}}{n_{b}} }[/tex]

39 - 55 ± 2.756[tex]\sqrt{\frac{9}{18} +\frac{6}{18} }[/tex]

-16 - 2.756(0.912) =  -18.52

-16 + 2.756(0.912) = -13.48

Thus, required confidence interval is (-18.52, -13.48).

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Answer:

5x^2-1x-3

Step-by-step explanation:

First bring the like terms together:

= 3x^2+2x^2+2x-3x-4+1

then solve it

Ans =5x^2-1x-3

I hope its useful

There are 201376 ways can a group of 5 lucky students be selected to sit in the front of the classroom.

What are combinations?

Combinations are mathematical operations that count the variety of configurations that can be made from a set of objects, where the order of the selection is irrelevant. You can choose any combination of the things in any order.

Permutations and combinations are often mistaken. The chosen components' order is crucial in permutations, though. For instance, whereas permutations treat the arrangements differently, combinations treat the arrangements ab and ba equally (as one arrangement).

Use the combinations formula:

n = 32, r=5

[tex]^{n}C_{r}=\frac{n!}{(n-r)! r!}[/tex]

[tex]^{32}C_{5}=\frac{32!}{(32-5)! 5!}[/tex]

       = (32*31*30*29*28*27!)/(5!*27!)

       = (32*31*30*29*28)/ (5*4*3*2*1)

       = 201376

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x= 7 and x=11 are two solutions of equation  x²+7x-11=0

Two or more expressions with an Equal sign is called as Equation.

The given equation is x²+7x-11=0

x square plus seven times of x minus eleven

Add 11 on both sides

x²+7x=11

x(x+7)=11

x=11

and x+7=11

Now subtract 7 on both sides

x=7

Hence, x= 7 and x=11 are two solutions of equation  x²+7x-11=0.

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the alternative hypothesis will state that the proportion is not significantly different than 0.75.

This should be researched with a hypothesis test on the proportion of tourists visiting Rock City.

The claim that want to be tested is if the proportion has increased from the past proportion (π=0.75).

Then, the alternative hypothesis will state that the proportion is significantly higher than 0.75.

On the contrary, the alternative hypothesis will state that the proportion is not significantly different than 0.75.

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Answer:      Y=-x+2

Step-by-step explanation:

The greatest possible error for her actual measurement 0.5 pounds

What is a mistake, exactly?

A mistake is an inaccurate or incorrect action (the Latin word error, which means "wandering"). Sometimes the terms "mistake" and "error" are used synonymously. The Latin word "errare," which means "to stray," is the source of the etymology.

Given:

Beatriz calculated the error range to be 23.5 to 24.5 pounds.

How much room did she have for error in her actual measurement?

Solution:

We initially locate the median of the supplied numbers before calculating the margin of error.

23.5 and 24.5 as the median

[tex]M=\frac{23.5+34.5}{2}= \frac{48}{2}=24[/tex]

Therefore, the largest inaccuracy is 24.5-24 = 0.5 pounds.

As a result, 0.5 pounds is accurate.

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The likelihood that a player will score more than 24 points in a randomly chosen game is 0.0013 or 0.13%.

To compute the probability for the a data point, we must first get the value's z-score.

Mean = μ = 15 points

SD = σ = 3 points

When calculating the likelihood that a score will be higher than 24, the z-score for 24 is:

z-score = (x-μ)/σ

z = (24-15)/3

z = 9/3

z = 3

The chance of z3 must now be determined using the z-score table, and it will be deducted from 1 to determine the likelihood of z>3.

P(z < 3) = 0.9987

P(z > 3) = 1 - P(z < 3)

P(z > 3) = 1 - 0.9987

P(z > 3) = 0.0013 = 13%

Thus, the probability that a player will score more than 24 points in a randomly chosen game is 0.0013 or 0.13%.

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Answer:

they could've walked 4 miles east to make the trip quicker. Would look alot nicer if i had grid paper

Step-by-step explanation:

_ _ _ _

| |

_ _ _ | |

The point that must be on the graph of y=f(2x+1)+3 is (-6, 0)

An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses.

Given that, (-2,3) is on the graph of y=f(x), we need to find a point that must be graphed of y=f(2x+1)+3

3 = f(2X(-3)+1) + 3

0 = f(-6)

Hence, the point on the graph is (-6, 0)

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Answer:

11. (-4, 5)

12. (0, 2)

Step-by-step explanation:

The solution from the graph is to determine the point of intersection of the two rays. And find the x and y values corresponding to that point.

In 11, the point of intersection is at x = -4, y =5

In 12, the point of intersection is at x = 0, y = 2

I am not clear on what they want you to do for checking the solution. You could mathematically solve for the set of equations.

I think what they mean is to check if your reading of the point coordinates from the graph is correct.
In which case just plug in the values of x and y into both equations in each problem and find if they are consistent

Let's take Problem 12 which has a solution of x = 0, y = 2

Plug in these values into each of the equations:

For 2x - y = -2, with x = 0, y = 2
2(0) - 2 = 0 - 2 = -2 so consistent

For 2x + 4y = 8
2(0) + 4(2) = 0 + 8 = 8

So both equations are consistent with the values read off the graph.

Use the same technique for the others

Hope that helps

Answer:

B is in the 1st quadrant

J is slightly in the 2nd quadrant

T is in the 3rd quadrant

P is in the 4th quadrant

Positions:

B.) 4, 3

J.) 0, 7

T.) -4, -4

P.) 4, -6

When you are looking at an axis graph, picture a big "C" over it, the tip of the "C" is the 1st quadrant, as you go down the "C" it symbolizes each quadrant. When the point is only on one line or axis (depending on which axis), then it is, for example, (0, 3) or (3, 0).

It is true that in a one-way ANOVA situation, if the overall F value is statistically significant, then you know that all of the means are significantly different from one another.

ANOVA, which represents the analysis of variance, is a statistical test used to examine the distinction between the means of more than two groups.

One independent variable is used in a one-way ANOVA, while two independent variables are used in a two-way ANOVA.

In a one-way ANOVA scenario, the overall F value must be statistically significant for more than two of the means to be significantly different.

thus we can say that the given statement is true.

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Randomly generating 8 of these numbers in succession, the probability we get exactly 5 numbers that meet our criteria is 0.13875.

Fundamental Principle of Counting, also called the counting rule, is the method to count how many ways multiple independent events can occur.

Thus, by Fundamental Principle of Counting, the number of possible even integers that start with 2 odd digits is 13875.

= (5 x 5 x 5) + (5 x 5 x 10 x 5) + (5 x 5 x 10 x 10 x 5)

= 125 + 1250 + 12500

= 13875

Probability is defined as the likeliness of an event to occur. The probability of any event to occur ranges from 0 to 1, and the sum of all the probabilities of all the events happening is 1.

probability = desired outcome / total outcomes

probability = 13875/100000

probability = 0.13875

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The airplane with 17 gallons will weight 746.3 pounds.

With the unitary method, you first determine the value of a single unit before determining the value of the necessary quantity of units. What can values and units be?

Consider going to the store to buy 6 apples. You are informed by the merchant that 10 apples are available for Rs 100. In this scenario, the units are apples and the value is their cost. It's crucial to understand the units and values while using the unitary technique to solve a problem.

Airplane weight with 50 gallons = 2195 pounds

So, airplane weight with 1 gallons = 2195 / 50

                                                        = 43.9 pounds

Hence,

Airplane with 17 gallons = 17 * 43.9 pounds

                                        = 746.3 pounds

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The second root is in the form [tex]a+\sqrt{b}[/tex].

Polynomial roots are the solutions to any given polynomial for which the value of the unknown variable must be determined. We can evaluate the value of polynomial to zero if we know the roots. A polynomial of degree 'n' in variable x is an expression of the form [tex]a^nx^n + a^{n-1}x^{n-1} +....+ a^1x^1 + a^0[/tex], where each variable has a constant accompanying it as its coefficient. The term refers to each variable in the expression that is separated by an addition or subtraction symbol. The degree of a polynomial is defined as the maximum power of a polynomial variable.

Given,

one root of polynomial is [tex]a-\sqrt{b}[/tex]

If a given root is complex, its conjugate is the other root. As a result, if a+ib is a root, a-ib is another a root.

If the root given is a surd of the form [tex]a+\sqrt{b}[/tex], then [tex]a-\sqrt{b}[/tex] is another root as well.

If the given root is rational, we can apply the product of the roots rule.

Thus, The polynomial's second root will be [tex]a+\sqrt{b}[/tex].

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