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Kruka [31]
3 years ago
11

What are the solutions of the equation (2x + 3)+ 8(2x + 3) + 11 = 0? Use u substitution and the quadratic formula to

Mathematics
1 answer:
zavuch27 [327]3 years ago
5 0

Answer:

x=-7+/5 /2

Step-by-step explanation:

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The data represents the number of runs allowed by 8 college softball pitchers. {18, 49, 38, 41, 33, 44, 42, 22}
lawyer [7]

This Question is incomplete

Complete Question:

The data represents the number of runs allowed by 8 college softball pitchers. {18, 49, 38, 41, 33, 44, 42, 22}

What is the five number summary:

a) Minimum

b) Q₁

c) Median

d) Q₃

e) Maximum

Answer:

a) Minimum = 18

b) Q₁ = 27.5

c) Median = 39.5

d) Q₃ = 43

e) Maximum = 49

Step-by-step explanation:

From the above diagram, we were given the following set of data.

{18, 49, 38, 41, 33, 44, 42, 22}

Before answering any of the questions, we have to rearrange the data from the lowest to the highest (ascending order). Hence, we have:

{18, 22, 33, 38, 41, 42, 44, 49}

a) Minimum

{18, 22, 33, 38, 41, 42, 44, 49}

Looking at this set of arranged data, the minimum number is the least or lowest number.

This number is 18

b) Q₁

{18, 22, 33, 38, 41, 42, 44, 49}

Q₁ means First Quartile. The formula is = ¼(n + 1)th value

n = Number of terms in the data set = 8

= ¼(8 + 1)th value

= ¼(9)th value

= 2 1/4 value

= 2.25 value

In the above Question, the 2.25 value is the value between the second and third number.

Hence:

22+33/2 = 55/2 = 27.5

Therefore, Q₁ = 27.5

c) Median

{18, 22, 33, 38, 41, 42, 44, 49}

The median of the number is the number in the middle

For this data, we have 8 number, Hence the median is the sum of the 4th and 5th term divided by 2

4th term = 38

5th term = 41

= 38 + 41/ 2 = 79/2

= 39.5

Hence, the median = 39.5

d) Q₃

{18, 22, 33, 38, 41, 42, 44, 49}

Q₃ means Third Quartile. The formula is = ¾(n + 1)th value

n = Number of terms in the data set = 8

= ¾(8 + 1)th value

= ¾(9)th value

= 6 3/4 value

= 6.75 value

In the above Question, the 6.75 value is the value between the sixth and seventh number.

Hence:

42+44/2 = 86/2 = 43

Therefore, Q₃ = 43

e) Maximum

{18, 22, 33, 38, 41, 42, 44, 49}

Looking at this set of arranged data, the Maximum number is the highest number.

This number is 49

6 0
3 years ago
the bottom of a ladder must be placed 10 feet from a building. The ladder is 26 feet. How far above the ground does the ladder t
Sauron [17]

Answer:

<em>The ladder touches the wall at 24 feet from the ground.</em>

Step-by-step explanation:

The wall of the building, the ground, and the ladder form a right triangle, whose longer side is the length of the ladder.

In any right triangle, we can apply Pythagora's theorem to find any missing side length.

The ladder is 26 feet in length, the distance from the bottom of the ladder and the building is 10 feet. Calling H to the distance above the ground where the ladder touches the wall, then:

26^2=10^2+H^2

Calculating:

676=100+H^2

Solving:

H^2=676-100

H^2=576

H=\sqrt{576}

H=24 feet

The ladder touches the wall at 24 feet from the ground.

8 0
3 years ago
Statistical Tests? Indicate whether the following analysis involves a statistical test. If it does involve a statistical test, s
pashok25 [27]

Answer:

Yes, the given analysis involves a statistical test. Population parameter of interest = '% of community people living in mobile homes' (MH)

  • H0 : MH = 0.09
  • H1 : MH > 0.09

Step-by-step explanation:

Hypothesis testing is a statistical test, of testing an assumption (statement) about population parameter.

Null Hypothesis  [H0] is a neutral statement of 'no difference' about a population parameter; stating variable is no different than its mean.

Alternate hypothesis [H1] is the 'specific difference' stating hypothesis about a population parameter; contrary to the null hypothesis.

To determine if there is evidence for the claim that the percentage of people in the community living in a mobile home is greater than 9% :

This analysis can be done by using statistical test : one sided 't' test. The population parameter of interest would be '% of community people living in mobile homes' (MH)

  • H0 : MH = 9% → MH = 0.09
  • H1 : MH > 9% → MH > 0.09
4 0
3 years ago
What is the solution to this system of equations?
soldier1979 [14.2K]

Answer:

The solution is where the two lines intersept. Therefore, the answer is (4,2).

Step-by-step explanation:

I hope this helps.

3 0
3 years ago
Read 2 more answers
The Convention Society Brought and planted 45 cherry trees.Each Tree Cost $367.Which was the total cost of planting the trees?
IceJOKER [234]
$16,515

367×45= 16, 515
7 0
3 years ago
Read 2 more answers
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