Benjamin bought a 3-pound bag of flour for $6.95. What is the unit price per ounce of flour? (1 pound = 16 ounces)

Answer:

The proportion of faculty that earns more than $25,250 but less than $38,750 is 0.8025.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].

In this question, we have that:

Mean of 32000, Standard deviation of 3000.

Using Chebyshev's Theorem, what is the proportion of faculty that earns more than $25,250 but less than $38,750

This is within 38,750 - 32,000 = 32,000 - 25,250 = $6,750 of the mean.

Value of k:

This is k standard deviations from the mean. k is given by:

[tex]k = \frac{6750}{3000} = 2.25[/tex]

Proportion:

The percentage is:

[tex]p = 100(1 - \frac{1}{(2.25)^{2}}) = 80.25[/tex].

So the proportion is 0.8025

Answer:

where the heck is the pic?

Step-by-step explanation:

Answer:

15.5

Step-by-step explanation:

on edguenity

Answer:

15.5

Step-by-step explanation:

trust

Step-by-step explanation:

20 miles.

what you need to do to find out is:-

just divide them

300÷15

have a good day :)

9514 1404 393

Answer:

  38.2°

Step-by-step explanation:

The law of sines tells you ...

  sin(x)/15 = sin(27°)/11

  sin(x) = (15/11)sin(27°) . . . . . multiply by 15

  x = arcsin((15/11)sin(27°)) ≈ arcsin(0.619078) ≈ 38.2488°

  x ≈ 38.2°

_____

Additional comment

In "law of sines" problems, you need to identify a side and opposite angle that you know both values of. Then, you need to identify whether you're looking for an angle or a side, and whether its opposite side or angle is known. If two angles are known, you can always figure the third from the sum of angles in a triangle.

Here, we have angle 27° opposite side 11. We are looking for an angle, and we know its opposite side. This lets us use the ratio formula directly. Since the angle is the unknown, it is useful to write the equation with sines on top and sides on the bottom.

The given angle is opposite the shorter of the given sides, so this triangle has two solutions. We assume that we want the solution that is an acute angle  (141.8° is the other solution). That assumption is based on the drawing. Usually, you're cautioned not to take the drawings at face value.

Answer: 6 sq cm

Step-by-step explanation:

Answer:

∠A = 88°

Step-by-step explanation:

= 180° - (50° + 38°)

= 180° - 88°

= 92°

∠A + 92° = 180°

∠A = 180° - 92°

∠A = 88°

The position of Q1 is the 2th number. Q1 is 3.

The position of Q2 is the 4th number. Q1 is 12.

The position of Q3 is the 6th number. Q1 is 14.

IQR is 11.

The first quartile, second quartile and the interquartile range are used to measure the variation of data. Median is a measure of central tendency. Median is the number at the center of the dataset.

Q1 = 1/4 x (n + 1)

1/4 x 8 = 2nd number = 3

Q2 = 1/2 x (n + 1)

1/2 x 8 = 4th number = 12

Q3 = 3/4 x (n + 1)

3/4 x 8 = 6th number = 14

IQR = Q3 - Q1

14 - 3 = 11

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Answer:

Step-by-step explanation:

y = mx + b

Here, m is the slope.

b is the y-intercept

x-intercept = -b/m

y = 3x -4

a) slope = 3

b) y-intercept = (-4)

c)  x -intercept = -(-4)/3 = 4/3

[tex]y = \frac{1}{5}x-3[/tex]

a) slope =  [tex]\frac{1}{5}[/tex]

b) y-intercept = (-3)

c)  x -intercept = [tex]-\frac{1}{5}[/tex]÷(-3)

                      [tex]= \frac{-1}{5}*\frac{-1}{3}\\\\=\frac{1}{15}[/tex]

Step-by-step explanation:

1. 22+5x+3=90

2.3+5x+82=180

3. 89=6x+5

4. 4x+3= 43

you can solve them luv

Answer:

it is 5 inches squared

Step-by-step explanation:

1 inches. sjwjqkqkwjhed

Answer:

3/8

divide both by 11

you get 3/8

Answer:

cant see the choices what the graph is a function

Step-by-step explanation:

Answer:

Answer: (8,12) Third option

Step-by-step explanation:

Equivalent Ratios

Nardia plotted some points showing equivalent ratios. The points shown in the graph are: (2,3), (4,6), (10,15)

The ratios of the points in the form y:x are:

[tex]\frac{3}{2}[/tex]

[tex]\frac{6}{4}=\frac{3}{2}[/tex]

[tex]\frac{15}{10}=\frac{3}{2}[/tex]

Note all the ratios are equivalent.

From the ordered pairs provided in the choices, only one of them has the same ratio y:x.

Point (12,8) has a ratio:

[tex]\frac{12}{8}=\frac{3}{2}[/tex]

Answer: (8,12) Third option

Answer:

c, a, d

Step-by-step explanation:

I think?

Answer:

4

Step-by-step explanation:

========================================

Work Shown:

(f + g)(x) = f(x) + g(x)

(f + g)(x) = x^2+x+1 + g(x) ............... plug in f(x) = x^2+x+1

(f + g)(x) = x^2+x+1 + x^2-9 ........... plug in g(x) = x^2-9

(f + g)(x) = (x^2+x^2)+x+(1-9)

(f + g)(x) = 2x^2+x-8

Answer:10%

Step-by-step explanation:

Answer:

x=39

Step-by-step explanation:

The interior angles add up to 180 degrees so you do 39+102, which is 141. Then you subtract 141 from 180 and then you get 39 degrees.

Answer:

20% of 10= 2 is the answer

hope this helps!

Answer:

a) 7 weeks b) George's

Step-by-step explanation:

Sally's score can be modeled by 10x+850.

George's score can be modeled by 50x+570.

We can set them equal to each other to see when they intersect.

10x+850=50x+570

40x=280

x=7

If George overtakes her in the 7th week, of course he'll have the higher score in 12 weeks.

The solution are, a) 7 weeks

                             b) George's

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

Sally's score can be modeled by 10x+850.

George's score can be modeled by 50x+570.

We can set them equal to each other to see when they intersect.

10x+850=50x+570

40x=280

x=7

If George overtakes her in the 7th week, of course he'll have the higher score in 12 weeks.

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Answer:

x + 6 + x + 6 + x + 6 + x + 6 + x + 6 x + 6 + x + 6 + x + 6 = 120

aka 8(6 + x) = 120

48 + 8x = 120

you want to get 8x on one side so you will subtract 48 on both sides - whatever you do to obe side you must do on the other side.

8x = 72

now you want the x by its self so to undo multiplication you need to divide, and divide on both sides.

x = 9

Solution: x = 9

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

Here it is

Step-by-step explanation:

#1. 3:4

#2. 3 to 4

#3. 3/4