A triangle has sides 12cm, 9cm and 15cm. Is the triangle right-angled? Justify your answer

Answer: Correlation

Step-by-step explanation:

The statistics that should be used to determine if scores on these two surveys are related to each other is referred to as correlation.

Correlation indicates the degree by which the variables that are given are linearly related. Correlation is used in the testing and determination of the strength of association that can be found between two variables.

In this case, since the student wants to determine if degree of introversion or extroversion s associated satisfaction with life, the correlation will be appropriate to use.

Answer:

The answer is y=-1x+8 or you can write it this way y=-x+8 either way will work fine.

Step-by-step explanation:

y=mx+b

m=-1

y-y=m(x-x¹)

y-1=-1(x-7)

y-1=-1x+7

+1 +1

y=-x+8

I hope this helps:)

Answer:

8 bowls

Step-by-step explanation:

10=40/4

1 1/4=5/4

40/4 divided by 5/4=160/20

160/20=8/1

Answer: the answer is 8

Step-by-step explanation:

Answer:

$1,105.08.

Step-by-step explanation:

Given that Alice invests $ 1000 at 2% interest compounded monthly over a 5 year period, assuming no other money is deposited or withdrawn, to determine what is the total amount of money in her account after 5 years, the following calculation must be performed:

X = 1,000 (1 + 0.02 / 12) ^ 5x12

X = 1,105.08

Thus, the amount of money in her account after 5 years would be $ 1,105.08.

Answer:

Answer A

Step-by-step explanation:

As the value of x increases by 2 the value of y increases by 4

Answer:

Step-by-step explanation:

Use the Pythagorean Theorem.

h² = 5² - 3² = 4²

h = 4 in

Answer:

The mass of the larger hummingbird is 7 1/2 or 15/2.

Step-by-step explanation:

Bee hummingbird = 1 1/4g

Larger hummingbird = 6x that

So,

1 1/4 x 6 = 7.5

7.5 as fraction = 7 1/2 or 15/2

Answer: The account that compounds daily.

Step-by-step explanation: If you reinvest your money more frequently, then you will also be able to earn interest on the interest that you earned the previous day and so on.

Answer:

See Below.

Step-by-step explanation:

We want to verify the trigonometric identity:

[tex]\cos^2(5x)-\sin^2(5x)=\cos(10x)[/tex]

For simplicity, we can let u = 5x. Therefore, by substitution, we acquire:

[tex]\cos^2(u)-\sin^2(u)[/tex]

Recall the double-angle identity formula(s) for cosine:

[tex]\displaystyle \begin{aligned} \cos(2x)&=\cos^2(x)-\sin^2(x)\\&=2\cos^2(x)-1\\&=1-2\sin^2(x)\end{aligned}[/tex]

Therefore, our identity becomes:

[tex]=\cos(2u)[/tex]

Back-substitute:

[tex]=\cos(2(5x))=\cos(10x)\stackrel{\checkmark}{=}\cos(10x)[/tex]

Hence proven.

cos²A - sin²A = cos2A, this is a general indentity where A can have any random value x/2, y/3, 1/8, 8, 9 etc.

Replacing A with 5x:

=> cos²(5x) - sin²(5x) = cos²(10x)

Moreover,

cos(A + B) = cosAcosB - sinAsinB.

When A = B,

cos(A + A) = cosAcosA - sinAsinA

cos2A = cos²A - sin²A

You can do the same with 5x.

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

cos(10x) = cos(5x)cos(5x) - sin(5x)sin(5x)

cos(10x) = cos²(5x) - sin²(5x)

Answer:

21 is 84% to 25, so there would be 25 total questions on the test

Answer:

[tex]P(X \le 4) = 0.7373[/tex]

[tex]P(x \le 15) = 0.0173[/tex]

[tex]P(x > 20) = 0.4207[/tex]

[tex]P(20\ge x \le 24)= 0.6129[/tex]

[tex]P(x = 24) = 0.0236[/tex]

[tex]P(x = 15) = 1.18\%[/tex]

Step-by-step explanation:

Given

[tex]p = 80\% = 0.8[/tex]

The question illustrates binomial distribution and will be solved using:

[tex]P(X = x) = ^nC_xp^x(1 - p)^{n-x}[/tex]

Solving (a):

Given

[tex]n =5[/tex]

Required

[tex]P(X\ge 4)[/tex]

This is calculated using

[tex]P(X \le 4) = P(x = 4) +P(x=5)[/tex]

This gives:

[tex]P(X \le 4) = ^5C_4 * (0.8)^4*(1 - 0.8)^{5-4} + ^5C_5*0.8^5*(1 - 0.8)^{5-5}[/tex]

[tex]P(X \le 4) = 5 * (0.8)^4*(0.2)^1 + 1*0.8^5*(0.2)^0[/tex]

[tex]P(X \le 4) = 0.4096 + 0.32768[/tex]

[tex]P(X \le 4) = 0.73728[/tex]

[tex]P(X \le 4) = 0.7373[/tex] --- approximated

Solving (b):

Given

[tex]n =25[/tex]

i)

Required

[tex]P(X\le 15)[/tex]

This is calculated as:

[tex]P(X\le 15) = 1 - P(x>15)[/tex] --- Complement rule

[tex]P(x>15) = P(x=16) + P(x=17) + P(x =18) + P(x = 19) + P(x = 20) + P(x = 21) + P(x = 22) + P(x = 23) + P(x = 24) + P(x = 25)[/tex]

[tex]P(x > 15) = {25}^C_{16} * p^{16}*(1-p)^{25-16} +{25}^C_{17} * p^{17}*(1-p)^{25-17} +{25}^C_{18} * p^{18}*(1-p)^{25-18} +{25}^C_{19} * p^{19}*(1-p)^{25-19} +{25}^C_{20} * p^{20}*(1-p)^{25-20} +{25}^C_{21} * p^{21}*(1-p)^{25-21} +{25}^C_{22} * p^{22}*(1-p)^{25-22} +{25}^C_{23} * p^{23}*(1-p)^{25-23} +{25}^C_{24} * p^{24}*(1-p)^{25-24} +{25}^C_{25} * p^{25}*(1-p)^{25-25}[/tex]

[tex]P(x > 15) = 2042975 * 0.8^{16}*0.2^9 +1081575* 0.8^{17}*0.2^8 +480700 * 0.8^{18}*0.2^7 +177100 * 0.8^{19}*0.2^6 +53130 * 0.8^{20}*0.2^5 +12650 * 0.8^{21}*0.2^4 +2300 * 0.8^{22}*0.2^3 +300 * 0.8^{23}*0.2^2 +25* 0.8^{24}*0.2^1 +1 * 0.8^{25}*0.2^0[/tex]  

[tex]P(x > 15) = 0.98266813045[/tex]

So:

[tex]P(X\le 15) = 1 - P(x>15)[/tex]

[tex]P(x \le 15) = 1 - 0.98266813045[/tex]

[tex]P(x \le 15) = 0.01733186955[/tex]

[tex]P(x \le 15) = 0.0173[/tex]

ii)

[tex]P(x>20)[/tex]

This is calculated as:

[tex]P(x>20) = P(x = 21) + P(x = 22) + P(x = 23) + P(x = 24) + P(x = 25)[/tex]

[tex]P(x > 20) = 12650 * 0.8^{21}*0.2^4 +2300 * 0.8^{22}*0.2^3 +300 * 0.8^{23}*0.2^2 +25* 0.8^{24}*0.2^1 +1 * 0.8^{25}*0.2^0[/tex]

[tex]P(x > 20) = 0.42067430925[/tex]

[tex]P(x > 20) = 0.4207[/tex]

iii)

[tex]P(20\ge x \le 24)[/tex]

This is calculated as:

[tex]P(20\ge x \le 24) = P(x = 20) + P(x = 21) + P(x = 22) + P(x =23) + P(x = 24)[/tex]

[tex]P(20\ge x \le 24)= 53130 * 0.8^{20}*0.2^5 +12650 * 0.8^{21}*0.2^4 +2300 * 0.8^{22}*0.2^3 +300 * 0.8^{23}*0.2^2 +25* 0.8^{24}*0.2^1[/tex]

[tex]P(20\ge x \le 24)= 0.61291151859[/tex]

[tex]P(20\ge x \le 24)= 0.6129[/tex]

iv)

[tex]P(x = 24)[/tex]

This is calculated as:

[tex]P(x = 24) = 25* 0.8^{24}*0.2^1[/tex]

[tex]P(x = 24) = 0.0236[/tex]

Solving (c):

[tex]P(x = 15)[/tex]

This is calculated as:

[tex]P(x = 15) = {25}^C_{15} * 0.8^{15} * 0.2^{10}[/tex]

[tex]P(x = 15) = 3268760 * 0.8^{15} * 0.2^{10}[/tex]

[tex]P(x = 15) = 0.01177694905[/tex]

[tex]P(x = 15) = 0.0118[/tex]

Express as percentage

[tex]P(x = 15) = 1.18\%[/tex]

The calculated probability (1.18%) is way less than the advocate's claim.

Hence, we do not believe the claim.

Answer:

3 feet

Step-by-step explanation:

If the length is 4 feet, there are two lengths so you get 8

14-8= 6

Because there are two widths, you do 6 divided 2 and you get 3 feet

Answer:

-2, 1, 4

Step-by-step explanation:

Answer:

b = 3

Step-by-step explanation:

Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other:

First, distribute 3 to all terms within the parenthesis:

3(3x + 1) =

3 * 3x = 9x

3 * 1 =  3

9x + b = 9x + 3

Isolate the variable, b. Subtract 9x from both sides:

9x (-9x) + b = 9x (-9x) + 3

b = 3

3 is your value for b.

~

Answer:

353,249 feet cubed

Step-by-step explanation:

V=(4/3)[tex]\pi (3.14)rx^{3}[/tex]/2 times 0.05

Answer:

58 units

Step-by-step explanation:

I decided that one side is 37 units and another is 2 units, since that would make the area 37 units. (you can also use 74 units and 1 unit)

Then I multiplied 37 by 5/4, which equals a new length of 46.25 units, and I also multiplied 2 by 5/4, which equals a new length of 2.5 units.

Finally, I solve for the area of the triangle:

1/2(46.25 x 2.5) ≈ 58 units (rounded to the nearest whole number)

Answer:

16x^10+16x^8+4x^6

The expanded and simplified form of [tex](2x^3 + 4x^5)^2[/tex] is  [tex]4x^6 + 16x^8 + 16x^10[/tex].

when we combine all the like terms.

To expand and combine like terms for the expression [tex](2x^3 + 4x^5)^2,[/tex] we need to square each term inside the parentheses and then combine like terms.

Using the FOIL method (First, Outer, Inner, Last) to multiply the terms, we have:

[tex](2x^3 + 4x^5)^2 = (2x^3)^2 + 2(2x^3)(4x^5) + (4x^5)^2[/tex]

Simplifying each term:

[tex](2x^3)^2 = 4x^6\\2(2x^3)(4x^5) = 16x^8\\(4x^5)^2 = 16x^10[/tex]

Combining like terms, we have:

[tex](2x^3 + 4x^5)^2 = 4x^6 + 16x^8 + 16x^10[/tex]

Therefore, the expanded and simplified form of [tex](2x^3 + 4x^5)^2[/tex] is [tex]4x^6 + 16x^8 + 16x^10.[/tex]

To know more about  "expression."  here

https://brainly.com/question/1859113

#SPJ2

Full Question

Expand and combine like terms: (2x^3+4x^5)^2 by simplication.

(No graph needed)

Answer:

1 is 64

2 is 85

3 is 56 hope this helps  

Step-by-step explanation:

also how give brainly i want to give u brainly

Answer:

The correct answer is B.

Step-by-step explanation:

Since Chandler, Jamal, Allison, and Qi are given the following problem: "In 1982, Wayne Gretsky set a record for the greatest number of hockey goals in one season with 92 goals. If a player has scored 60 goals this season and averages 2 goals per game, how many additional games must he play to break the record? ", And each student writes an inequality to represent the situation:

Chandler wrote 60 + 2g ≥ 92

Jamal wrote 60 + 2g> 92

Allison wrote 60 + 2g <92

Qi wrote 60 + 2g ≤ 92

To determine whose inequality is correct, the following calculation must be performed:

92 - 60 = 32

32/2 = 16

Chandler: 60 + 2x16 ≥ 92

Thus, Chandler wrote the correct option.

Answer:

452.39

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

ESPERO TE A YDUE :)

Answer:

A=30  B=90  C=60

Step-by-step explanation:

A=30 C=60  B=90

Answer:

1/5

Step-by-step explanation:

because u divied

Answer:

6 is hoing to be your answer

Answer:

6in

Step-by-step explanation:

Answer:

Franklin Delano Roosevelt, often referred to by his initials FDR, was an American politician who served as the 32nd president of the United States from 1933 until his death in 1945. A member of the Democratic Party, he won a record four presidential elections and became a central figure in world events during the first half of the 20th century. Roosevelt directed the federal government during most of the Great Depression, implementing his New Deal domestic agenda in response to the worst economic crisis in U.S. history. As a dominant leader of his party, he built the New Deal Coalition, which defined modern liberalism in the United States throughout the middle third of the 20th century. His third and fourth terms were dominated by World War II, which ended shortly after he died in office.

Step-by-step explanation:

to this ‘Great Man Theory’ it can be said that Franklin Delano Roosevelt upheld his victorious and highly regarded government through means of social, economic and political reforms, as well as ambitious personal and strategic decisions that have successfully remained influential to American society today and maintained his image as a prominent historic leader.

Answer:

A

Step-by-step explanation:

first num is 15

ratio is 0.2

formula is a.r^n-1

Answer:

its sas side angle side plz mark me branliest