if the standard deviation of the values in a sample is 14 what is the variance of the data values

Answer:

(a) The difference between Kate's IQ and the mean is 21

(b) The z score is 1.4

Step-by-step explanation:

Here is the complete question:

IQ scores have a mean of 100 and a standard deviation of 15. Kate has an IQ of 121. (a) What is the difference between Kate's IQ and the mean (b) Convert Kate's IQ score to a z score.

Step-by-step explanation:

(a) To determine the difference between Kate's IQ and the mean, this can be done by subtracting the mean from Kate's IQ.

Mean = 100

Kate's IQ = 121

Difference between Kate's IQ and the mean = 121 - 100 = 21

Hence, the difference between Kate's IQ and the mean is 21.

(b) To convert Kate's IQ score to a z score,

z score is given by the formula

[tex]z =\frac{x - \mu}{\sigma}[/tex]

Where [tex]x[/tex] is the score

[tex]\mu[/tex] is the mean

and [tex]\sigma[/tex] is the standard deviation

From the question,

[tex]x[/tex] = 121

[tex]\mu[/tex] = 100

[tex]\sigma[/tex] = 15

Then, the z score is

[tex]z =\frac{x - \mu}{\sigma}[/tex]

[tex]z =\frac{121 - 100}{15}[/tex]

[tex]z =\frac{21}{15}[/tex]

[tex]z =\frac{7}{5}[/tex]

z = 1.4

Hence, the z score is 1.4.

Answer:

The least common denominator would be 30.

Step-by-step explanation:

5- 5, 10, 15, 20, 25, 30, 35, 40

6- 6, 12, 18, 24, 30, 36 42, 48

Answer:

If she rounds 88 to the nearest hundred and 12 to the nearest ten, her estimate will be 1,000 because if you take 88x12, your answer is 1056. so knowing that the closest answer to 1056 is 1000 not 900.

Hope it helped!

Answer:

If she rounds 88 to the nearest hundred and 12 to the nearest ten, her estimate will be 1,000.

Step-by-step explanation:

Answer:

Since this is a proportional relationship,

We know that the number which are proportional are a multiple of each other

the number which we can multiply one of the numbers to get the other number is the constant of proportionality

we could check for proportionality by using the following formula:

p1 / s1 = p2/s2 = p3/s3 = p4/s4  if they were equal, we can say that the relation is proportional

The value of any of the above values, p1/s1 , p2/s2 , p3/s3 , p4/s4 is the constant of proportionality

Therefore, the constant of proportionality = 20 / 5 = 4

Answer: Cost of  a giant cookies = $1.39

Cost of a cake= $6.95

Cost of a pie= $4.95

Step-by-step explanation:

Let price of a giant cookie = x

Then,

price of a cake = 5x

Price of a pie = 5x-2

Cost of  30 cakes, 40 pies, and 200 giant cookies = 30 (5x)+40(5x-2)+200x

= 150x+200x-80+200x   [By distributive property a(b+c)=ab+ac]

= 550x-80

Given cost = $684.50

[tex]\Rightarrow\ 550x-80=684.50\\\\\Rightarrow\ 550x= 684.50+80[/tex]

[tex]\Rightarrow\ 550x=764.50\\\\\Rightarrow\ x=\dfrac{764.50}{550}\\\\\Rightarrow\ x=1.39[/tex]

Cost of  a giant cookies = $1.39

Cost of a cake = 5 x $1.39  = $6.95

Cost of a pie = $6.95 -  $2 = $4.95

Answer:

.079 is the smallest

Answer:

.079 would be smaller than .12.

Step-by-step explanation:

Since the tenths place in .079 has a zero and tenths place in .12 has a 1, .12 would be larger.

Answer:

[tex]\large\boxed{\mathtt{x=-1}}[/tex]

Step-by-step explanation:

[tex]\textsf{For this problem, we are asked to solve the equation for x.}[/tex]

[tex]\textsf{Note that there are lines in between both expressions, this is asking for the \underline{Absolute Value}.}[/tex]

[tex]\large\underline{\textsf{What is Absolute Value?}}[/tex]

[tex]\textsf{Absolute Value is exactly how it sounds like, it's the real value of a term.}[/tex]

[tex]\textsf{Absolute Value turns negative numbers into positive numbers.}[/tex]

[tex]\textsf{*A Negative Value isn't really the real value of a number. A Positive Value is.}[/tex]

[tex]\underline{\textsf{Example;}}[/tex]

[tex]\tt {Change \ from \ Negative \ to \ Positive.} \atop \boxed{{|-5| \rightarrow 5.}}[/tex]

[tex]\large\underline{\textsf{Keep the Absolute Values!}}[/tex]

[tex]\textsf{We shouldn't try to find the absolute value of the expressions first.}[/tex]

[tex]\textsf{Instead, identify 2 possible equations using Absolute Value.}[/tex]

[tex]\textsf{There could be 2 possible solutions for x.}[/tex]

[tex]\tt x-2=4+x[/tex]

[tex]\underline{\textsf{Or;}}[/tex]

[tex]\tt x-2=-(4+x)[/tex]

[tex]\large\underline{\textsf{Solve the First equation;}}[/tex]

[tex]\tt x-2=4+x[/tex]

[tex]\underline{\textsf{Add 2 to both sides of the equation;}}[/tex]

[tex]\tt x=6+x[/tex]

[tex]\textsf{There is \underline{no} solution for this equation. We should look at the second equation.}[/tex]

[tex]\large\underline{\textsf{Solve the Second equation;}}[/tex]

[tex]\tt x-2=-4-x[/tex]

[tex]\underline{\textsf{Add 4 to both sides of the equation;}}[/tex]

[tex]\tt x=-x-2[/tex]

[tex]\underline{\textsf{Add x to both sides of the equation;}}[/tex]

[tex]\tt 2x=-2[/tex]

[tex]\underline{\textsf{Divide each side by 2;}}[/tex]

[tex]\large\boxed{\mathtt{x=-1}}[/tex]

[tex]\textsf{Using Absolute Value, x = -1.}[/tex]

[tex] \frac{7}{b + 5} = \frac{10}{5} \\ [/tex]

[tex] \frac{7}{b + 5} = 2 \\ [/tex]

Multiply the sides of the equation by ( b + 5 ) :

[tex]7 =2 \times (b + 5)[/tex]

[tex]7 = 2b + 10[/tex]

Subtract the sides of the equation minus 10 :

[tex]7 - 10 = 2b[/tex]

[tex] - 3 = 2b[/tex]

Divided the sides of the equation by 2 :

[tex]b = - \frac{3}{2} \\ [/tex]

____________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

 the answer is 154 count by 4's

Step-by-step explanation:

14,18,22,26,30,34,38,42,46,50,54,58,62,66,70,74,78,82,86,90,94,98,102,106,110,114,118,122,126,130,134,138,142,146,150,154,158,162

Answer:

the answer is 154

Step-by-step explanation:

you add 4 every time

Answer:

10:4

35:14

55:22

Answer:

7 bottles

$10

Step-by-step explanation:

multiply

1/6×42= 7 bottles

5/9×18= $10

Answer:

83.85%

Step-by-step explanation:

The formula for confidence interval

= Mean ±( z × Standard deviation/√n)

Confidence Interval = Mean ± Margin of Error

Mean = 4.20mm

n = 87

Standard deviation = 0.10mm

z = ????

Hence:

Confidence Interval = Mean ± Margin of Error

Step 1

We find the Margin of Error

(4.185, 4.215) = 4.20 ± Margin of Error

4.20 - 4.185 = 0.015

4.215 - 4.20 = 0.015

Hence, Margin of Error = ± 0.015

Step 2

We find the z score

Margin of Error = z × Standard deviation/√n

±0.015 = z × 0.10/√87

± 0.015 = 0.0107211253z

z = ±0.015/0.0107211253

z = 1.39910686428

z score ≈ 1.4

Step 3

We find the confidence interval that corresponds to 1.4

Using the z table to find the Probability

P(z = 1.4) = 83.85%

Therefore, the level of the confidence interval (4.185, 4.215) is 83.85%

Answer:

[4.1mm to 4.3mm]

Step-by-step explanation:

Sample size = 87 glass sheets

Sample mean = 4.2mm

Sample standard deviation = 0.1mm

Confidence interval or level = the range from lower limit of sample mean to upper limit of sample mean

[4.2 - 0.1] to [4.2 + 0.1]  = [4.1mm to 4.3mm]

Answer:

12

Step-by-step explanation:

You would be facing Northeast.

Answer:

-2 times 8\3

Step-by-step explanation:

the answer is -48

Answer: -5 1/3

Step-by-step explanation: First, convert -2 into a fraction by putting a 1 under the -2. So, you should have -2/1. Since, you‘re multiplying a negative times a positive, you’re answer should be negative. Next, multiply -2/1 x 8/3 by cross multiplying. You should end up with an answer of -5 1/3.

Answer:

Of what grade this is question

Answer:

9

Step-by-step explanation:

The absolute value of any number is just its distance from 0.

-4 is 4 away from 0, so its absolute value is 4.

-5 is 5 away from 0, so its absolute value is 5.

Therefore, the equation is basically just asking what is 4 + 5, which is 9 :D.

Answer:

9

Step-by-step explanation:

The bars around the two numbers imply that it wants you to find the absolute value. Absolute value is the distance a number is from zero since distance is always positive to find the answer just make the number positive. Following this rule l-4l=4 and l-5l=5. Then add them together 4+5=9.

Answer:

4x - 5 > 7 = [3,∞)

Step-by-step explanation:

Move all terms not containing x to the right side of the inequality.

4x > 12

Divide each term by 4 and simplify.

x > 3

Convert the inequality to interval notation.

[3,∞)

I hope this helps

if you could, feel free to mark me Brainliest it would be much appreciated :D

Answer:

3w+2w= 10

5w= 10

w = 10/5

w = 2

Answer:

w = 2

Step-by-step explanation:

3w+2w= 10

Combine like terms

5w = 10

Divide each side by 5

5w/5 = 10/5

w = 2

Answer:

2300

Step-by-step explanation:

Answer:

I think its b

Step-by-step explanation:

by moving it 5 units down, A' will become (-4,-4), and a 180° would make A'' (4,4). (I haven't taken geometry in a few years, so if im wrong, I'm sorry)

Answer:

B

Step-by-step explanation:

I took the test

Answer:

y = -7/3x + 5

Step-by-step explanation:

7x + 3y = 15

- subtract 7x from both sides

3y = -7x + 15

- divide both sides by 3

y = -7/3x + 5

Answer:

c

Step-by-step explanation:

Answer: Option C

(C) or Taable 3

Step-by-step explanation:

Answer:

12 hours

Step-by-step explanation:

15/2=7.5

90/7.5 = 12