How do you answer this question?

Answer:

The equation is

X²+2x-48 = 0

Shorter one is 6 inches

Other side= 8 inches

Step-by-step explanation:

The equation for a right angle triangle normally is

A² = B² + C²

Where A = hypotenuse

Then B and C are the order sides of the triangle.

This time

Hypotenuse= 10 inches

The shorter one is X

While the other one is X+2

The equation

10²= x² +(x+2)²

100= x² + x² + 4x +4

100 - 4 = 2x² +4x

96= 2x² +4x

48 = x² +2x

X²+2x-48 = 0

Solving for x

X² +8x-6x-48= 0

X(x+8)-6(x+8)=0

(X-6)(x+8)= 0

X= 6 or x= -8

Definitely x is posiy

So x= 6

Shorter one is 6 inches

Other side= 6+2= 8 inches

Answer:

1

 The  correct option is  A

2

 The  correct option is  C

3

 The  correct option is  C

Step-by-step explanation:

From the question we are told that

   The proportion of the winning bid from a regular bidder is  [tex]P(R) = 0.60[/tex]

   The proportion of the winning bid from a occasional bidders is  [tex]P(O) = 0.30[/tex]

     The proportion of the winning bid from a first- time bidders is  [tex]P(F) = 0.10[/tex]

    The proportion of  satisfactory jobs done by a regular bidders is [tex]P(R|S) = 0.90[/tex]

The proportion of  satisfactory jobs done by a occasional bidders is    [tex]P(O|S) = 0.80[/tex]

The proportion of  satisfactory jobs done by a first- time bidders is   [tex]P(F|S) = 0.60[/tex]

Generally the probability that a job will be done by a first-time bidder and be satisfactory is mathematically represented as

          [tex]P(F n S) = P(F) * P(S|F)[/tex]

=>        [tex]P(F n S) = 0.10 * 0.60[/tex]

=>       [tex]P(F n S) = 0.060[/tex]

Generally the probability that a job will be satisfactory is mathematically represented as

       [tex]P(S) = 0.60 * 0.90 + 0.30 *0.80+ 0.10*0.60[/tex]

=>     [tex]P(S) = 0.84 [/tex]

Generally given that a job is satisfactory, what is the probability that it was done by a regular bidder is mathematically evaluated as

              [tex]P( S | R) = \frac{0.90* 0.60}{0.60}[/tex]

               [tex]P( S | R) = 0.6429[/tex]

Answer:

375

Step-by-step explanation:

30*12.5 is equal to 15*25

15*25= 375

The total number of calories he will have burned during his workout if he spends 30 minutes on the treadmill will be 375 calories.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Elijah's workout at the gym consists of just the elliptical and treadmill. After burning 450 calories on the elliptical machine, Elijah switched to the treadmill.

The number of calories burnt will be calculated below,

30 x 12.5  

15 x 25

15 x 25= 375 calories

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Answer:

the answer is 11

Answer:

4/5

Step-by-step explanation:

There Are 5 Sections, 5 Is The Denominator For Our Answer

He Fills 4 Sections, And That Means He Filled Four-Fifths Of The Container.

Hope This Helps!

Answer:

It's all about parts.

Step-by-step explanation:

Since the container has 5 sections we can look at it as ?/5. With every section that Alvin fills, we add 1 more to the fraction. So, if he fills 1 section, we have 1/5. If he fills 2 sections, we have 2/5, and so on. I hope this helps you.

3y^-4 × (2y^-4) = 6y^-8

= 6/1/y^8

= 6/y^8

.................................................

1) When x^1 multiply with x^2, 1 will add to 2 and become 3

= x^3

2) y^-1 = 1/y

3^-2 = 1/3^2 = 1/9

5^-2 = 1/5^2 = 1/25

Answer:

[tex]x=2y+3[/tex]

Step-by-step explanation:

[tex]x-2y=3[/tex]

To get x, first, we must add 2y on both sides.

[tex]x-2y+2y=3+2y[/tex]

Now that we added, we received our answer!

[tex]x=2y+3[/tex]

Hope this helps!

Answer:

x=3+2y

Step-by-step explanation:

Add 2y to both sides of the anwser

 x-2y=3

   +2y    +2y

 x=3+2y

There you go

Answer:

C ) y = -2x

Step-by-step explanation:

(2, -4)

y = -2x

subsitute x for the value of x

y = -2(2)

-2 × 2 = -4

y = -4

so

the equation for the point (2, -4) is

y = -2x

Answer:

[tex]\frac{11}{11+15}[/tex] * 100

Step-by-step explanation:

The voters would be 11+15 and since there were 11 votes for A, that is the equation you should use.

Answer:

Smallest: 29, Middle: 53, Largest: 58

Step-by-step explanation:

We can represent the angles in this problem using an equation.

We'll use x to represent the smallest angle, and work out other ways to represent the others.

As the largest angle is twice that of the smaller angle, we can represent the largest angle as 2x as 2x is two times x.

The middle angle is 24 more than the smallest, so we can represent that one as x + 24, since it is 24 more than the smallest.

Now we have our angles all represented with x:

Smallest angle = x

Middle = x+24

Largest = 2x

We know that they all add together to 140 so our equation is:

x+2x+(x+24) = 140

Now we can solve for x!

We can remove the brackets (addition does not change the terms) and combine the terms:

x+2x+x+24=140

4x+24=140

Next we move the 24 to the other side so we can solve for x:

4x + 24 - 24 = 140 - 24

4x = 116

Finally we divide both sides by 4:

x=29

The smallest angle is 29!

Now we can use our representations to find the other angles:

Middle angle = x+24, therefore it is 29+24 = 53

Largest angle = 2x therefore it is 2*29 = 58

58+53+29=140 so we have successfully worked out our angles!

Hope this helped!

Answer:

The second side is 8.

The third side is 12.

The last side is 16.  

Step-by-step explanation:

The third side is 12 because it is 8+4. Given these facts, it is 20 feet so far. And the last side of the triangle is 16, for it is 8+8. So, 16+20 is 36. Hope thsi helped.

Hey there! I'm happy to help!

[tex]a^-^2[/tex] is the same thing as 1/a². So, [tex]5^-^2[/tex] is 1/25. This is multiplied by 3² which is 9, so this is 9/25.

In the denominator, we have [tex]5^-^1[/tex], which is 1/5. We multiply this by 3, which is 3/5.

So, we divide 9/25 by 3/5, giving us 3/5.

Now, we raise this to the power of -2, so we flip the numerator and denominator and then square both numbers, giving us 25/9.

Have a wonderful day! :D

Answer:

-(-4)(2×-4+(-4×2).

4(-8+(-8)).

4(-16).

= -64.

Answer:-64

Step-by-step explanation:

-4(2×4+4×2)

-4(8+8)

-32-32=-64

Answer:

Step-by-step explanation:

27x - 72 = 9

27x = 81

x = 3

answer is C

Answer:

A and B?

Step-by-step explanation:

Answer:

Addition Property and substitution property

Answer:

Step-by-step explanation:

Given the order of operations A set of three scores to consists of the values 6, 3, and 2, we are to evaluate the following

1) Σ2X – 2

= 2(6)+2(3)+2(2) – 2

= 12+6+4–2

= 22–2

= 20

2) Σ(2X)² = (2×6)²+(2×3)²+(2×2)²

Σ(2X)² = 12²+6²+4²

Σ(2X)² = 144+36+16

Σ(2X)² = 144+52

Σ(2X)² = 196

The results of the order of operations are: [tex]\sum 2x -2 = 16[/tex] and [tex]\sum (2x)^2 =196[/tex]

The scores are given as:

x = 6, 3 and 2

This is represented as:

[tex]\sum 2x -2[/tex]

So, we have:

[tex]\sum 2x -2 = 2 \times 6 - 2 + 2 \times 3 - 2 + 2 \times 2 - 2[/tex]

Evaluate the products

[tex]\sum 2x -2 = 12 - 2 + 6 - 2 + 4- 2[/tex]

[tex]\sum 2x -2 = 16[/tex]

This is represented as:

[tex]\sum (2x)^2[/tex]

So, we have:

[tex]\sum (2x)^2 =(2 \times 6)^2 + (2 \times 3)^2 + (2 \times 2)^2[/tex]

Evaluate the products

[tex]\sum (2x)^2 =12^2 + 6^2 + 4^2[/tex]

Evaluate the squares

[tex]\sum (2x)^2 =144 + 36 + 16[/tex]

[tex]\sum (2x)^2 =196[/tex]

Hence, the results of the order of operations are:

[tex]\sum 2x -2 = 16[/tex] and [tex]\sum (2x)^2 =196[/tex]

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Answer:

5 bags of popcorn and 6 candies.

Step-by-step explanation:

(5 * $5.50) + ($3.5*6) = $48.5

Answer:

[tex]\boxed{\bold{\huge{\boxed{\sf x = 252}}}}[/tex]

Step-by-step explanation:

The ratio is 9 : 7

The first number is 324

Let's build the proportion for it.

9 : 7 = 324 :  x     [We've to find x]

=> 9 * x = 324 * 7

=> 9x = 2268

Dividing both sides by 9

=> x = 252

So, The other number is 252.

Answer:

Mode

Step-by-step explanation:

I took the test and got it correct!

Answer:

d

Step-by-step explanation:

Which ordered pair comes from the table?

Answer:

100%

Step-by-step explanation:

there are no speckled or yellow rocks so you have a 100% chance of not drawing them

100%

Since there aren't any speckled or yellow rocks it isn't possible to draw them.

Answer:

Step-by-step explanation:

complex roots always occur in pairs and are conjugate of each other.

second root=5-6i

Answer:

a). f(0) = 7

b). f([tex]\frac{1}{3}[/tex]) = 6

c). f(-5) = 22

d). x = 9

Step-by-step explanation:

The given function is f(x) = -3x + 7

a). For x = 0

   f(0) = -3(0) + 7

         = 0 + 7

         = 7

b). For x = [tex]\frac{1}{3}[/tex]

    f([tex]\frac{1}{3}[/tex]) = [tex](-3)(\frac{1}{3})+7[/tex]

          = -1 + 7

          = 6

c). For x = (-5)

   f(-5) = -3(-5) + 7

          = 15 + 7

          = 22

d). For f(x) = (-20)

    -20 = -3x + 7

     3x = 20 + 7

     3x = 27

       x = 9            

Answer:

Step-by-step explanation:

$2,662.50

a)The child falls into the most extreme 5% group, we need to compare the z-score of 1.59 to the critical value for the 5th percentile.

b)The information to make assumptions about the skewness, symmetry, or the number of heights is not provided.

A z-score of 1.59 means that the child's height is 1.59 standard deviations above the mean height for 2-year-olds. To decide if the child falls into the most extreme 5% group, we need to find the critical value for the 5th percentile. The critical value corresponds to the z-score that separates the lowest 5% of the distribution from the rest.

b) To find the answer to part a we need to assume certain properties about the heights of 2-year-olds:

A. The distribution of heights is skewed -  Skewness is not mentioned in the problem, so we cannot assume the distribution is skewed or not skewed based on the given information.

B. The heights are independent - The heights of 2-year-olds are independent in the sense that one child's height does not influence or depend on another child's height. This is a reasonable assumption in most cases.

C. The distribution of heights is symmetric - The given z-score doesn't tell us directly about the symmetry of the distribution, so we cannot assume the distribution is symmetric based on this information alone.

D. The number of heights is very large - The  information about the size of the population is not provided, so we cannot assume that the number of heights is very large.

E. The distribution of heights is unimodal - We do not have information about the number of modes (peaks) in the height distribution. The z-score doesn't give us any insight into whether the distribution is unimodal or multimodal.

Thus, the result of the following questions will be:

a) The child falls into the most extreme 5% group, we need to compare the z-score of 1.59 to the critical value for the 5th percentile.

b)The information to make assumptions about the skewness, symmetry, or the number of heights is not provided.

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Answer:

The answer is

Step-by-step explanation:

First of all convert the mixed number to an improper fraction

We have

So we have

Since they have the same denominator we can subtract them directly

We have

Reduce the fraction with 2

We have the final answer as

Hope this helps you