Sandra received 15 twenty dollar bills. She spent 3/5 and saved 2/5 How much did she save

Answer:

0.9

Step-by-step explanation:

Given that data:

x : 7, 5, 11, 8, 14, 19, 16, 15, 13, 27

Mean = Σx / n

Using calculator :

Mean (m) = 13.5

Standard deviation (s) = 6.433

Proportion that lies in mean ± 2s

Lower = Mean - 2s

13.5 - 2(6.433) = 0. 632

Upper = Mean + 2s

13.5 + 2(6.433) = 26.376

Mean ± 2(sd) = (0.632, 26.276)

The only digit from the data which falls outside the defined range = 27

Proportion within interval = 9 / n

Proportion which falls within range = 9/10 = 0.9

Answer:

(9x+1)=10x

Step-by-step explanation:

Answer:

h(x) = x-5 . The domain of h(x) is (- infinity,3) U (3, infinity)

Step-by-step explanation: plato/edmentum

The domain of h(x) is  (-∞ , 3 ) ∪ (3,∞) .

The domain is all x-values or inputs of a function and the range is all y-values or outputs of a function. When looking at a graph, the domain is all the values of the graph from left to right. The range is all the values of the graph from down to up.

According to the question

f(x) = [tex]x^{2}[/tex] − 8x + 15

g(x) = x − 3

h(x) = f(x) ÷ g(x)

i.e,

h(x) = [tex]\frac{ x^{2} -8x + 15}{x-3}[/tex]

now,

x ≠ 3

[tex]h(x) = \frac{(x-5)(x-3)}{(x-3)}[/tex]

so,

Domain or x ∈ (-∞ , 3 ) ∪ (3,∞)

Hence, The domain of h(x) is  (-∞ , 3 ) ∪ (3,∞)

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Answer:

1.2x10^-11

You never start with a zero so you move the decimal 11 spots the right which makes it negative

Answer:

when you divide by 100 it is .1 but when you divide by 1000 it is .01 so every time you divide you move the decimal up by one

I hope this helps:

Answer:

3 1/8

Step-by-step explanation:

Add the 1 3/8 cups of walnuts to the 1 3/4 cups of raisins. You will have to make your denominators the same to add the fraction.

1 3/8. 1 3/8

+1 3/4. 3 x 2 = 6. +1 6/8

_____ 4 x 2 = 8. ______

2 9/8 reduce 3 1/8

Answer:

The number of observations in the data set expected to be below a value of 231 is of 4793.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 195

Standard deviation = 12

The normal distribution is symmetric, which means that 50% of the observations are above the mean and 50% are below.

Proportion of observations below 231:

231 = 195 + 3*12

So 231 is three standard deviations above the mean.

Of the 50% of observations below the mean, all are below 231.

Of the 50% of observations above the mean, 99.7% are between the mean of 195 and three standard deviations above the mean(231).

So, the proportion of observations below 231 is:

[tex]P = 0.5*1 + 0.5*0.997 = 0.9985[/tex]

Out of 4800:

0.9985*4800 = 4793

The number of observations in the data set expected to be below a value of 231 is of 4793.

Answer:

Step-by-step explanation:

2x - 7y = -6.  

Answer:

75%

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

You can tell since it is 11/44 as a fraction and if there are 4 11's, it will be 44 and a percent that is equal to 100 but has four "places" is 25%

Answer:

91

Step-by-step explanation:

Answer:

p + q = 13/4

Step-by-step explanation:

p² - q² = 7

p - q = 2

Use substitution.

p = 2 + q

(2 + q)² - q² = 7

Expand (2 + q)² with FOIL - first, outer, inner, last

(2 + q)(2 + q)

4 + 2q + 2q + q²

4 + 4q + q²

Subtract q².

4 + 4q + q² - q² = 7

4 + 4q = 7

Combine like-terms.

4q = 3

Divide by 4 to isolate q.

q = 3/4

Plug q into the equation to find p.

p - q = 2

p - (3/4) = 2

Add 3/4 to both sides.

p = 11/4

Add p and q.

11/4 + 3/4

= 13/4

Answer:

When s=2, A=24

Step-by-step explanation:

We are given the formula [tex]A = 6s^2[/tex]

We need to solve and find value of A , when s=2

So, putting value of s in the given formula we can find value of A

The formula given is:

[tex]A=6s^2\\Put\:s=2\\A=6(2)^2\\A=6(4)\\A=24[/tex]

So, by putting s= 2, We get A=24

Answer:

42.5

Step-by-step explanation:

calculatour

Answer:

17.38*10^8

Step-by-step explanation:

Step one:

given data

The  dividend is 2.26*10^8 (i rewrote the given data, i hope it was mearnt to be so)

divisor is 0.013.

Step two:

Hence the quotient is the whole number gotten when the dividend is divided by the divisor

quotient= 2.26*10^8/0.013.

quotient= 17.38*10^8

Answer:

[tex]a=\sqrt{63}[/tex]

Step-by-step explanation:

When we solve for this we should always remember this formula [tex]a^2+b^2=c^2[/tex] and since we already know b and c we can plug that in tho find out what a could be but we won't actually solve it.

[tex]a^2+b^2=c^2\\a^2+9^2=12^2\\a^2+81=144\\a^2=63\\\sqrt{a^2}=\sqrt{63}[/tex]

So a would equal whatever the square root of 63 is.

Answer:

Equation: y = 15.5x

Step-by-step explanation:

Given that:

Time earns $31 for 2 hours

$46.5 for 3 hours

$62 for 4 hours

We will find unit rate first.

Unit rate = [tex]\frac{31}{2}[/tex] = $15.5 per hour

Now,

Let,

x be the number of hours

y be the total money earned by Tim

Total earning = Per hour rate * Number of hours

y = 15.5x

Hence,

Equation: y = 15.5x

Answer:

3.2 ounces.

Step-by-step explanation:

Divide 5 percent by One Hundred,

5/100 = 0.05

Multiply 0.05 by 64

0.05x64= 3.2

Answer:

3.2

Step-by-step explanation:

Find 5% of 64

10% = 6.4 (64 divided by 10)

5% = 6.4÷2= 3.2

Answer: 3 mph.

Because....

3/4 of a mile is 0.75 miles.

0.75 miles = 15 minutes

X = 15 * 1 / 0.75

X = 20 minutes takes a mile to travel

20 minutes = 1 mile

60 minutes = X

Clearing X would give:

X = 60/20

X = 3 miles per hour.

Luis rides 3 miles per hour.

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Answer:

Step-by-step explanation:

Line B passes through (3.75, 0) and (0, negative 5) represents the line -3y = 15 – 4x. the slope of the line is = 4/3 and the y-intercept is -5.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.

A line can be defined by the shortest distance between two points is called as a line.

Given the expression of the line,
–3y = 15 – 4x

Now by putting every given point of the lines given with their passing points in –3y = 15 – 4x , it is found that point (3.75, 0) and (0, -5) lies on the line.

Hence, the expression –3y = 15 – 4x represents line B.

Now, the slope and y-intercept of the equation.
Rearrange the equation into standard form,
y = 4/3 x - 5
Now compare the above equation with the standard form line
y = mx +c

m = 4/3 and c = -5

Thus, line B passes through (3.75, 0) and (0, negative 5) represents the line -3y = 15 – 4x. the slope of the line is = 4/3 and the y-intercept is -5.

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Answer:

321

Step-by-step explanation:

2247÷7=321

Answer:

321

Step-by-step explanation:

Shown in picture attached.

Answer:

3

Step-by-step explanation

So, you need to find 10% of 30

10/100 (fraction form of 10%) x 30

of = multiply

10/100 x 30 = 300/100 = 3

9514 1404 393

Answer:

  A∪B = (-7, -2)

Step-by-step explanation:

It can be helpful to draw a picture. It shows that set B is completely contained within set A, so the union of the two sets is simply set A.

  A∪B = (-7, -2)