A normal distribution has a mean of 10 and a standard deviation of 1. What is the probability of selecting a number that is at most 10

9514 1404 393

Answer:

  2/5

Step-by-step explanation:

After paying 1/3 in tax, 2/3 of Sally's paycheck remains.

After paying 2/5 of that, 3/5 of that 2/3 remains. The remaining fraction is ...

  (3/5)(2/3) = 2/5

After the indicated payments, 2/5 of Sally's paycheck remains.

Answer:

2/5

Step-by-step explanation:

3/5 * 2/3 = 2/5

Answer:

the common ratio is

1/3

because

9*1/3=3

3*1/3=1

1*1/3=1/3

...

The common ratio is 1/3.

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

The given sequence is

27, 9, 3,  1, 1/3, 1/9 and so on....

Since we know that

Common ratio (r) = Second term/First term

Therefore,

                          r = 9/27 = 3/9 ....

So, The answer will be 1/3.

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Answer:

1)

a. $6

b.$10

c. 2x

d. $3

e. $9

f. 2y

g. $22

h. $21.5

i. 2x + 1.5y

2)

a. 2x + 1.5y = 22

b. You could buy 2 tickets and 12 snacks

Step-by-step explanation:

Answer: 40

60÷15=4

10×4=40

I hope this is good enough:

Answer: Pearson correlation statistic

Step-by-step explanation:

The Pearson Correlation statistic is used to measure linear association. It simply measures the statistical relationship that exists between two variables that are continuous. Information about both the magnitude and the direction are being provided by the Pearson Correlation statistic.

Since both the SAT scores and the high school GPA has to do with numbers, we are going to use Pearson correlation statistic. Spearman correlation are used for ranking.

Answer:

Try A

Step-by-step explanation:

I did it myself, and the first one I did, which was A, all had the same slope, so I think it is A.

Answer:

substitution

Step-by-step explanation:

Answer:

c=2pi times r

c= 2 times pi times 4

c=25.1327

c= 25.13

Answer:

case a) y=1/3x+8

case b) y=-3x+28

Step-by-step explanation:

case a)

parallel lines has the same slope, then, the searched line has the form:

[tex]y=\frac{1}{3} x +b[/tex]

Now, in order to find b, we must use the given point (6,10). By substituying this point into the last equation, one has

[tex]10=\frac{1}{3} 6+b\\10=\frac{6}{3} +b\\10=2+b\\b=10-2\\b=8[/tex]

Then, the line equation is y=1/3x+8

case b)

the slope of a perpendicular line is the "negative reciprocal" of the slope of the original line, that is

[tex]m=-\frac{1}{\frac{1}{3} } \\m=-3[/tex]

Hence, the searched line has the form y=-3x + b. Now, in order to find the y-intercept b, we must use the given point (6,10). Therefore,

[tex]10=-3(6)+b\\10=-18+b\\b=10+18\\b=28[/tex]

Hence, the searced equation is y=-3x+28

Answer:

y = -3x - 1

Step-by-step explanation:

it is the only line that passes through the point (-1, -4)

Answer:

1)Coefficient

2)Dividend

3) Quotient  

Step-by-step explanation:

Answer:

Step-by-step explanation:

5.23x+3.76-3.67x+6.39

x(5.23-3.67) +(3.76+6.39)

1.56x + 10.15

Answer:

1.56x + 10.15

Step-by-step explanation:

(5.23x + 3.76) – (3.67x – 6.39)

(a + b) – (c – d) = a + b – c + d

Remove the parentheses and change the signs as needed:

5.23x + 3.76 – 3.67x + 6.39.

Group the like terms and simplify:

5.23x – 3.67x + 3.76 + 6.39

1.56x +10.15.

Answer:

E

Step-by-step explanation:

RSM proves correct

The value of a given function is required.

So, the answer is (E)83.

The given function [tex]f(x)[/tex] is the sum of all prime numbers less than [tex]x[/tex].

The required function is [tex]f(86)-f(82)[/tex]

[tex]f(86)=2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79+83[/tex]

[tex]f(83)=2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79[/tex]

[tex]f(86)-f(83)=2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79+83-(2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79)=83[/tex]

All numbers become get subtracted except for 83.

So, the answer is (E)83.

Learn more:

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Answer:

130$

Step-by-step explanation:

put 4 instead of the h

50+4.20

50+80

130

Answer:

0.9864

Step-by-step explanation:

The average sample mean is 295, and the standard deviation is:

σ = 15 / √17

σ = 3.64

The z-scores are:

z = (x − μ) / σ

z₁ = (-9) / 3.64

z₁ = -2.47

z₂ = (9) / 3.64

z₂ = 2.47

So the probability is:

P(-2.47 < Z < 2.47) = P(Z < 2.47) − P(Z < -2.47)

P(-2.47 < Z < 2.47) = 0.9932 − 0.0068

P(-2.47 < Z < 2.47) = 0.9864

Using the normal distribution and the central limit theorem, it is found that there is a 0.9864 = 98.64% probability that a random sample of 17 pregnancies has a mean gestation period within 9 days of the mean.

In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Gestation period within 9 days of the mean is between 286 and 304 days, and the probability is the p-value of Z when X = 304 subtracted by the p-value of Z when X = 286.

X = 304:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{304 - 295}{\frac{15}{\sqrt{17}}}[/tex]

[tex]Z = 2.47[/tex]

[tex]Z = 2.47[/tex] has a p-value of 0.9932

X = 286:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{286 - 295}{\frac{15}{\sqrt{17}}}[/tex]

[tex]Z = -2.47[/tex]

[tex]Z = -2.47[/tex] has a p-value of 0.0068

0.9932 - 0.0068 = 0.9864.

0.9864 = 98.64% probability that a random sample of 17 pregnancies has a mean gestation period within 9 days of the mean.

A similar problem is given at https://brainly.com/question/24663213

Answer:

(x − π)⁷ / 5040

(x − 1)³ / 16

Step-by-step explanation:

Taylor series expansion of a function is:

f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(x₀) / n! (x − x₀)ⁿ

where f⁽ⁿ⁾(x₀) is the nth derivative evaluated at x₀.

For the first problem, f(x) = sin x and x₀ = π.  We want the seventh degree term, so n = 7.

The seventh degree term is therefore: f⁽⁷⁾(π) / 7! (x − π)⁷

Find the seventh derivative of sin x:

f(x) = sin x

f⁽¹⁾(x) = cos x

f⁽²⁾(x) = -sin x

f⁽³⁾(x) = -cos x

f⁽⁴⁾(x) = sin x

f⁽⁵⁾(x) = cos x

f⁽⁶⁾(x) = -sin x

f⁽⁷⁾(x) = -cos x

Evaluated at π, f⁽⁷⁾(x) = 1.  So the seventh degree term is (x − π)⁷ / 5040.

For the second problem, f(x) = √x and x₀ = 1.  We want the third degree term,  so n = 3.

The third degree term is therefore: f⁽³⁾(1) / 3! (x − 1)³

Find the third derivative of √x:

f(x) = √x

f⁽¹⁾(x) = ½ x^-½

f⁽²⁾(x) = -¼ x^-³/₂

f⁽³⁾(x) = ⅜ x^-⁵/₂

Evaluated at 1, f⁽³⁾(x) = ⅜.  So the third degree term is (x − 1)³ / 16.

Given:

A sofa regularly sells for $710.

The sale price is $553.80.

To find:

The percent decrease of the sale price from the regular price.

Solution:

We have,

[tex]Decrease\%=\dfrac{\text{Regular price - Sale price}}{\text{Regular price}}\times 100[/tex]

[tex]Decrease\%=\dfrac{710-553.80}{710}\times 100[/tex]

[tex]Decrease\%=\dfrac{156.2}{710}\times 100[/tex]

[tex]Decrease\%=0.22 \times 100[/tex]

[tex]Decrease\%=22\%[/tex]

Therefore, the percent decrease of the sale price from the regular price is 22%.

Answer:

Answer is C.

Step-by-step explanation:

Please like and mark brainliest, thanks :)

Exponential functions are functions that increases geometrically. The correct graph that model the investment is the Graph C

Exponential functions are functions that increases geometrically. The standard exponential function is expressed as  y = ab^x

The correct graph must represents a curve that increases steadily. From the given graph, the correct graph that model the investment is the Graph C

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Answer: C. The graph is positive on the intervals (-∞,-8) and (-4,3)

Step-by-step explanation: I guessed on my test and got it right. PLATO

Answer:

1000x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let

'x' the price of the meal

15% of x or 0.15x is the tip

x + 0.15x = 20.70

1.15x = 20.70 divide both sides by 1.15

x = 20.70/1.15

x = $18

0.15*18 = $2.70

The price of the meal without the tip is $18.

The tip was $2.70.

Answer:

Larger number:

16

Smaller number

3

Step-by-step explanation:

Larger number: 16

Smaller number: 3

Explanation:

Suppose the larger number is

a

and the smaller number is

b

.

You solve the following system of equations:

a⋅b=48

a−13=b

Since b is a −13, you can plug that into a⋅b=48, so...a⋅(a−13)=48

a 2−13a=48

a2−13a−48=0

Factor the polynomial:

(a−16)(a+3)=0

a=16 or a=−3a is positive so a=16.

We can now solve for b by plugging in a, so...16−13=b3=b We have a=16 and b=3, meaning that the larger number is 16 and the smaller number is 3.

Answer:

If it is $10,570 then the answer is 1510, but if you made a typo and meant 105,700, then the answer is 15100.

Answer:

Step-by-step explanation:

I divided 105.70 by 7 and got 15.1. So your answer is 15.10 cents I believe

Hope it helps :p

Answer:

27

Step-by-step explanation:

3*9=27

hope this helps :3

if it did pls mark brainliest

Answer:

He will have played 27 tennis matches

Step-by-step explanation:

I know he will have played 27 tennis matches because 3 tennis matches every week for 9 weeks that's 3x9 which equals 27.

Answer:its a or b

Step-by-step explanatio

Answer:

The answer is (2)

Step-by-step explanation:

We know that to the distance between two numbers on a number line, we subtract the smaller number from the larger number. For instance, the difference between [tex]5[/tex] and [tex]3[/tex] is simply [tex]5-3[/tex], which is [tex]2[/tex]. With that being said, variables such as [tex]p[/tex] or [tex]q[/tex] differ from a question to another. Sometimes, the [tex]p[/tex] is larger, but sometimes the [tex]q[/tex] is. If we don’t know which one is which, we can subtract them in any order and take the absolute value of that result. If the result of subtraction is positive, great! The absolute value of that is still positive ([tex]5-3=2\\|5-3|=2[/tex]) If it’s not, now it is! (e.g., [tex]|3-5|=2[/tex]! Therefore, the answer is (2) [tex]|p-q|[/tex].

Answer:

A)12 F.

Step-by-step explanation:

Answer: x=8

for every 5 there is 2

so for x=8

there are four 5's in 20

I hope this is good enough:

Answer:

x = 8

Step-by-step explanation:

I can confirm this is right I took test