Logan thinks he can bring the baseball bat home in his suitcase. Is he correct? Use your understanding of the Pythagorean Theorem to explain your answer.

[tex]y = 1.38x + 12.60[/tex]

Step-by-step explanation:

6 = 1/4(-8) +b

6 = -2 +b

8 = b

The equation of this line having slope 1/4 and points (-8,6) is y = (1/4)x + 8.

Slope is the rate of change.It can also be thought of as rise over run.

According to the given question slope(m) is 1/4 and point is (-8,6).

We know equation of a line in slope intercept form is y = mx + b, where b is the y intercept.

∴ 6 = (-8)1/4 + b.

  6 = - 2 + b.

  b = 8.

Now the equation of this line in slope intercept from can be written as

y = (1/4)x + 8.

learn more about equation of a line here :

https://brainly.com/question/2564656

#SPJ2

Answer:

a. ∠U

b. ∠D

c. WX

d. ST

Step-by-step explanation:

Answer: 5573

Step-by-step explanation:

Answer:

15 hamburgers were sold and 30 hotdogs were sold.

The systems of equations are x + y = 45 and 4x + 5y = 195.

Step-by-step explanation:

Let's make two equations.

x + y = 45

This represents the total of hotdogs and hamburgers sold

4x + 5y = 195

This represents the amount of money made for each food.

These are systems of equations, when you use 2 equations to solve a problem. I will use the strategy, Elimination for the following systems of equations. Anyways the goal is to multiply a number to x + y = 45 to cancel out one of the variables in 4x + 5y = 195. In other words, when we add these equations, the sum of the xs or ys will equal 0.

Let's multiply -5 to both x and y.

Now we have -5x -5y = -225 + 4x + 5y= 195

We will end up with -x = -30. This means that x = 30.

Now that we know x = 30, we can plug in 30 as x in one of the equations. I will plug in 30 into x + y = 45. 30 + y = 45.

Solve for y in 30 + y = 45, so y=15.

This means 15 hamburgers were sold and 30 hotdogs were sold.

Answer:

The 5-ounce can if divided by five to how to cost for 1-ounce would be $0.18. Then you divide the 12-ounce by 12 for 1-ounce which is $0.2. So the 5-ounce is better.

Step-by-step explanation:

Hope this helped!

Answer:

114.666666667

Step-by-step explanation:

Step 1:

6/86 = 8/x        Equation

Step 2:

6x = 688        Multiply

Step 3:

x = 688 ÷ 6    Divide

Answer:

x = 114.666666667

Hope This Helps :)

Answer:

11. 6

12. The last option, A=1/4, B=7/16, C=5/8, D=3/4

Step-by-step explanation:

11. look at the denominators, and what do you see? I see that 11 is 88 divided by 8. So, let's divide the numerator by 8 as well! 48/8=6

12. 1/4 is half of 1/2, so it would be between 0 and 1/2, or A

     Same thing with 3/4 but this time in the middle of 1/2 and 1, or D

     5/8 is a little over 4/8, or 1/2, so C

     The last one left is 7/16, B

Answer:

a

    [tex]P(M  \  n \  J ) = 0.0802 [/tex]

b

  Yes

Step-by-step explanation:

From the question we are told that

    The  probability that a random  selected person of age 40  years or older  is a jogger is [tex]P(J) =  0.274[/tex]

    The  probability that a random  selected person of age 40  years or older  is a male given that he/she jogs  is  [tex]P(M |J) = 0.293[/tex]

Generally the probability that a randomly selected person age 40 years or older is male and jogs

    [tex]P(M  \  n \  J ) = P(M|J) *  P(J)[/tex]

    [tex]P(M  \  n \  J ) = 0.293 * 0.274 [/tex]

     [tex]P(M  \  n \  J ) = 0.0802 [/tex]

Generally it would  be unusual  because the probability that a randomly selected person age 40 years or older is male and jogs is  greater than 0.05[border line for statistical  significance]

Answer:

The test statistics is  [tex]z =  -1.56 [/tex]  

The p-value is   [tex]p-value =  0.05938 [/tex]

Step-by-step explanation:

From the question we are told  

   The West side sample  size is [tex]n_1  =  578[/tex]

    The  number of residents on the West side with income below poverty level is [tex]k  = 76[/tex]

    The East side sample size  [tex]n_2=688[/tex]

  The  number of residents on the East side with income below poverty level is [tex]u  = 112[/tex]

   The null hypothesis is  [tex]H_o  :  p_1 = p_2[/tex]

    The alternative hypothesis is  [tex]H_a :  p_1 <  p_2[/tex]

Generally the sample proportion of  West side is  

     [tex]\^{p} _1 = \frac{k}{n_1}[/tex]

=>   [tex]\^{p} _1 = \frac{76}{578}[/tex]

=>   [tex]\^{p} _1 =  0.1315 [/tex]

Generally the sample proportion of  West side is  

     [tex]\^{p} _2 = \frac{u}{n_2}[/tex]

=>   [tex]\^{p} _2 = \frac{112}{688}[/tex]

=>   [tex]\^{p} _2 =  0.1628 [/tex]

 Generally the pooled sample proportion is mathematically represented as

    [tex]p = \frac{k + u}{ n_1 + n_2 }[/tex]

=>  [tex]p = \frac{76 + 112}{ 578 + 688 }[/tex]

=>  [tex]p =0.1485[/tex]

Generally the test statistics is mathematically represented as

[tex]z = \frac{\^ {p}_1 - \^{p}_2}{\sqrt{p(1- p) [\frac{1}{n_1 } + \frac{1}{n_2}  ]}  }[/tex]

=> [tex]z = \frac{ 0.1315  - 0.1628 }{\sqrt{0.1485(1-0.1485) [\frac{1}{578} + \frac{1}{688}  ]}  }[/tex]  

=> [tex]z =  -1.56 [/tex]  

Generally the p-value  is mathematically represented as

          [tex]p-value =  P(z <  -1.56 )[/tex]

From z-table  

         [tex]P(z <  -1.56 ) =  0.05938[/tex]

So

     [tex]p-value =  0.05938 [/tex]

Answer:

y=[tex]\frac{1}{4}[/tex]h+2

Step-by-step explanation:

Answer:

Step-by-step explanation:

The slope is achieved through (5-3)/((0-(-1)) which is 2. The y-intercept is just where x=0 on the equation so (0,5). 3. Put it all together in y=mx+b to get 2x+5. Hope that helps!

Answer

1.4 miles

Step-by-step explanation:

2.8÷2=1.4

Answer:

c is correct

Step-by-step explanation:

Brainly Crown Pls

Answer:

first option

Step-by-step explanation:

Answer:

A. The total distance the car travels in miles between hours 3 and 7.

Step-by-step explanation:

I took the test!

Answer:

-9r+3.2s+4

Step-by-step explanation:

- (9r – 3.2s) + 4

Distribute the minus sign

-9r - -3.2s+4

Subtracting a negative is like adding

-9r+3.2s+4

Answer:

ur welcome

Step-by-step explanation:

x is first so -2 and -1 and 0 and 1 and 2 all cancel each other out so no worries there then on to the other side you add it all and boom you done

Answer:

The answer would be 150,000 to 249,999

Answer: Is D 69.08

Formula:C=Pi(d)

C=22 times 3.14 equals 69.08

Circumference=69.08

Hope this helps :)!

Answer:

your answer would be 0.052

Answer:

14

Step-by-step explanation:

Let x be the missing number

3x + 7 = 49   [Given equation]

3x = 42   [Subtract 7 from both sides of the equal sign]

x = 14   [Simplify]

Hope this helps! I apologize if I get this incorrect.

    Answer:14

Step-by-step explanation: I hope this helps plz tell me if its wrong so i can fix it :)

Answer:

y = -2/3x + 3

Step-by-step explanation:

3y = -2x + 9

y = (-2x + 9)/3

y = -2/3x + 3

well,

2/3x is the slope, and b is the y-intercept, y is the y coordinate

it can only be one of the last 2

It is the LAST one

x=6

y=-5

-5 = 2/3(6)-9

-5 = 4-9

-5 = -5

the answer is the last one

Answer:

Step-by-step explanation:

part d

y=2/3x-9

Answer:

132.2

Step-by-step explanation:

you just add the percentage of its calories

Answer:-1

Step-by-step explanation:-18-6n = 6 + 18n

-6n=6

divide

n=-1

Answer:

-1

Step-by-step explanation:

First, divide by 6

-18/6- 6n/6=6/6(1+3n)

-3-n= 1+3n

Then move the variable to one side

-3-n+n= 1+3n+n

-3=1+4n

Then isolate the variable

-3-1=1-1+4n

-4=4n

Isolate more

-4/4=4n

-1=n

Answer:

To multiply mixed numbers:

Step-by-step explanation:

1. convert to improper fractions

2. top * top

3. bottom * bottom

4. convert back into a mixed number

Answer:

Hi!

In these questions you're being asked to multiply mixed numbers. The easiest way to do this is to convert the mixed numbers to improper fractions, and then multiply them in that form.

For the first question:

[tex]1\frac{3}{5} = \frac{8}{5} ; 1\frac{2}{5} =\frac{7}{5} \\[/tex]  To convert the mixed numbers to improper fractions, you just     multiply the denominator by the whole number, and then add it to the current  numerator, forming the new numerator. The denominator stays the same.

[tex]\frac{8}{5} *\frac{7}{5} = \frac{56}{25}[/tex]       Next, multiply together the numerators, and then multiply together the denominators.

[tex]\frac{56}{25} = 2\frac{6}{25}[/tex]

Answer:

a) 0.0228

b) 94.6

Step-by-step explanation:

The formula for calculating a z-score when you are given a random.number of samples is z = (x-μ)/σ/√n

where x is the raw score

μ is the population mean

σ is the population standard deviation

n = random number of samples

Given a normal distribution with u = 75 and o = 40, if you select a sample of n = 16,

a) what is the probability that the sample mean is above 95? (4 d.p.) b)

= x = 95

Hence:

z = 95 - 75/40/√16

= 20/40/4

= 20/10

= 2

Probability value from Z-Table:

P(x<95) = 0.97725

P(x>95) = 1 - P(x<95) = 0.02275

The probability that the sample mean is above 95 to 4 decimal places = 0.0228

b) What is the value, of which there is 97.5% chance that a sample mean is less than that value?

97.5% chance = z score for the confidence interval = 1.96

Hence:

z = (x-μ)/σ/√n

1.96 = x - 75/40/√16

1.96 = x - 75/ 40/4

1.96 = x - 75/10

Cross Multiply

1.96 × 10 = x - 75

19.6 = x - 75

x = 19.6 + 75

x = 94.6

The value, of which there is 97.5% chance that a sample mean is less than that value is 94.6