Simplify. 7²+2² A9 B53 C81 D94

Answer:

Statistics.

Step-by-step explanation:

Statistics is the branch of exact sciences that has the objective of collecting data from reality from taking samples of a specific group of society or a particular situation, thing or event, and comparing the differences between these samples to obtain a general sample of a certain common characteristic.

Thus, statistics seeks through comparison to establish parameters on which the other sciences are based in order to develop theories, relying on the repetition of characteristics common to the groups analyzed.

Answer:

1 ; 1.25 ; 0.25 ; - 0.75 ; - 1.25 ;- 0.5

Step-by-step explanation:

Given the sample observations : 15, 16, 12, 8, 6, 9

Zscore for each sample Observation :

Zscore = (x - mean) / standard deviation

(15 + 16 + 12 + 8 + 6 + 9) / 6 = 11

Mean value (m) = 11

Standard deviation (s) = 5

Sqrt[(x - m)^2 / (n - 1)]

[(15-11)^2 + (16-11)^2 + (12-11)^2 + (8-11)^2 + (6-11)^2 + (9-11)^2] / (6 - 1)

= 80/5 = 16

Sqrt(16) = 4

Zscore = (x - mean) / standard deviation

x = 15

Zscore = (15 - 11) / 4 = 1

x = 16

Zscore = (16 - 11) / 4 = 1.25

x = 12

Zscore = (12 - 11) / 4 = 0.25

x = 8

Zscore = (8 - 11) / 4 = - 0.75

x = 6

Zscore = (6 - 11) / 4 = - 1.25

x = 9

Zscore = (9 - 11) / 4 = - 0.5

Answer:

y-intercept = (0, 8)

axis of symmetry= -b/2a

Step-by-step explanation:

Also when you want something to be squared use this symbol ^

Answer:

use a calculator.

Step-by-step explanation:

Answer:

2. 17.624

3. 9.72

4. 14.3

5. 2.11

8. 5,105.16

10. 124.7

Step-by-step explanation:

Answer:

Here,

f(x)=2x+3(x-3)

if f(x)=11

we know that,

or,11=2x+3(x-3)

or,11=2x+3x-9

or,11+9=5x

or,20=5x

Therefore,x=4

Answer:

x = 4

Step-by-step explanation:

2x + 3x - 9 = 11

5x = 11+9

5x = 20

x = 4

Feel free to mark it as brainliest :D

Answer: Your real answer is D

Step-by-step explanation:

The start is 7 to the right of 2

Answer:

the answer is 0

Step-by-step explanation:

Answer:

6.5

Step-by-step explanation:

Answer: It's 11.5

Explanation ( took so long)

[tex]C = \sqrt{a^{2} + b^{2} }\\14 = \sqrt{8^{2} + b^{2} }\\14 = \sqrt{64 + b^{2} }\\14^{2} = 64 + b^{2} \\196 = 64 + b^{2} \\64 +b^{2} = 196\\b^{2} = 196 - 64\\b^{2} =132\\b = \sqrt{132} \\b = 11.48[/tex]

Answer:

Y= -1/4x -1  3/4

or Y= -0.25x -1.75

Step-by-step explanation:

I got this by finding the distance between the points.

The distance is 8x and -2y

Divide that by 2 and you get 4 and -1 or -4/1

Then knowing that the slope is -0.25, you know that for each square the line goes down .25  That is how I found the y intercept.

In conclusion Y= -0.25x -1.75

Answer: the probability that exactly 5 of the 8 cherry tomatoes weigh less than 4 oz is 0.05

Step-by-step explanation:

Given that;

X has normal distribution has mean µ = 3

standard deviation σ = 2  

now

P( x< 4) = P( (x-µ)/σ /(3-4)/5)

= P( z < -0.5 )

= 0.3085  {from the z-table}

X has binomial distribution with n = 8 and p = 0.3085

so P(x=5)

P(x=5) = 8C₅(0.3085)⁵ (1 - 0.3085)⁸⁻⁵

= 0.0517  ≈ 0.05

Therefore the probability that exactly 5 of the 8 cherry tomatoes weigh less than 4 oz is 0.05

Answer: there's no solution

Step-by-step explanation:

first, we remove the parenthesis.

-12x + 3 = -12x - 18

then, we cancel equal terms.

3 = -18

that doesn't work, so it makes a false statement.

no solution.

Answer:

$9.13

Step-by-step explanation:

Hi there! :)

[tex]\large\boxed{\text{B. 11 cm.}}[/tex]

Begin by using Pythagorean theorem to solve for the length of the diagonal of the base:

a² + b² = c²

Use the length and width in the equation:

8² + 3² = c²

64 + 9 = c²

73 = c²

c ≈ 8.54 cm

Now, we can find the length of the diagonal of the prism using our calculated diagonal of the base and the height. Use the same equation:

(8.54)² + 7² = c²

73 + 49 = c²

122 = c²

√122 = c

c = 11.05 ≈ 11 cm. The correct answer is B.

Given:

[tex]\dfrac{1+\sin \theta}{\cos \theta}+\dfrac{\cos \theta}{1+\sin \theta}=2\sec \theta [/tex]

To prove:

The given statement.

Proof:

We have,

[tex]\dfrac{1+\sin \theta}{\cos \theta}+\dfrac{\cos \theta}{1+\sin \theta}=2\sec \theta[/tex]

Taking LHS, we get

[tex]\text{LHS}=\dfrac{1+\sin \theta}{\cos \theta}+\dfrac{\cos \theta}{1+\sin \theta}[/tex]

Taking LCM, we get

[tex]\text{LHS}=\dfrac{(1+\sin \theta)^2+cos^2\theta }{\cos \theta(1+\sin \theta)}[/tex]

[tex]\text{LHS}=\dfrac{(1)^2+2\sin \theta +\sin^2 \theta+cos^2\theta }{\cos \theta(1+\sin \theta)}[/tex]    [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]

[tex]\text{LHS}=\dfrac{1+2\sin \theta +1}{\cos \theta(1+\sin \theta)}[/tex]    [tex][\because \sin^2 \theta+cos^2\theta =1][/tex]

[tex]\text{LHS}=\dfrac{2+2\sin \theta}{\cos \theta(1+\sin \theta)}[/tex]

[tex]\text{LHS}=\dfrac{2(1+\sin \theta)}{\cos \theta(1+\sin \theta)}[/tex]

[tex]\text{LHS}=\dfrac{2}{\cos \theta}[/tex]

[tex]\text{LHS}=2\sec \theta[/tex]         [tex][\because \sec\theta=\dfrac{1}{\cos \theta}][/tex]

[tex]\text{LHS}=\text{RHS}[/tex]

Hence proved.

Answer:

The Chi-square test of independence

Step-by-step explanation:

The answer to this question is the Chi-square test of independence because it is what is used to determine the existence of an association between nominal/categorical variables. This test is non parametric in nature and it can also be called the chi square test of association.

The data is tabulated. each row is a representation of the category for one of the variables and each column is for the other variable.

Answer:5.25

Step-by-step explanation:

3(1/7 + 1/x) = 1

3([x + 7]/7x) = 1

3x + 21 = 7x

4x = 21

x = 21/4 OR 5.25

It will take wendy 5.25hrs to clean the house by herself.

In order to get the time it take wendy to clean the house by herself, we will use the expression:

1/a = 1/x + 1/y

1/3 = 1/7 + 1/y

1/y = 1/3 - 1/7

1/y = 7-3/21

1/y = 4/21

y =  21/4

y =  5.25hrs

Hence it will take wendy 5.25hrs to clean the house by herself.

Learn more on fractions here: https://brainly.com/question/5474474

Answer:

p=3m

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

greater than

Step-by-step explanation:

The standard deviation of a distribution σ = [tex]\sqrt{sum(x - mean)^2/ n}[/tex]

where x is the score of each student

Adding 5 to 10 student scores would be = x+5 - mean

increasing the scores of the 10 students by 5, which in turn increases the standard deviation of the distribution.

Answer:

The answer would be

Negative

Answer:

Negative

Step-by-step explanation: If there are a odd number of negative sigs, the answer is negative. If there are a even amount of negative symbols, the answer is positive and there are 3 negative symbols, so the answer is NEGATIVE

Answer:

5c - 2b

Step-by-step explanation:

3c + 2c +2b -4b

5c - 2b

hope it helps :)

if it helps plzzzz mark me brainliest

Answer:

16

Step-by-step explanation:

divide by 5

Answer:

$76

Step-by-step explanation:

5% of $80 is $4

$80-$4= $76

Answer:

4

Step-by-step explanation:

the different planes are either negitive or positive. since one goes to positive and negative, for example, 5 is greater that -9.

Answer:

Just substitute

Answers in order of questions

Hope this helped. Please mark as brainliest!

Answer:

lol whyd you delete my answer

Step-by-step explanation:

Answer: 2.70

Step-by-step explanation: 5-2.30=2.70

Answer:

$2.70

Step-by-step explanation:

alright dig this

5-2.3=2.7

my source? a calculator

also im going to assume that sales tax doesn't exist in this problem heehoo

Answer:

I believe the answer is 84 centimeters.

Step-by-step explanation:

If the wheel is 5.6 centimeters in diameter, the car is traveling 5.6 centimeters per spin of the wheels. Therefore, you do the equation, 5.6 * 15 and get 84.

Answer:

41

Step-by-step explanation:

i rounded the 40.5 to 41.