3. the stem-and-leaf plot shows the cost of lamps at a department store.



(a) what is the median cost?
(b) is there a mode? if so, what is it?
(c) what is the difference between the most expensive and least expensive lamps?
(d) how many lamps cost more than $20 but less than $40?
(e) what is the ratio of lamps that cost less than $40 to lamps that cost more than $40? write the ratio in simplest form.

Answer:

Jace did not make a mistake, because the answers are the same. Jace just did the problem in a unique way.

Answer:

all you have to do is plug points into the equation m=(x1-x2)/(y1-y2) to find the slope. then choose one of the points to plug into the equation y-y1=m(x-x1).

Step-by-step explanation:

use the formulae for each question.

[tex]\text{Arc length,}\\\\s = r \theta \\\\~~=12\cdot \left(30 \times \dfrac{\pi}{180} \right)\\\\~~=12\cdot \dfrac{\pi}6\\\\~~=2\pi[/tex]

Answer:

Step-by-step explanation:

88 / 184 ≈ 0.48

96 / 184 ≈ 0.52

104 / 166 ≈ 0.63

62 / 166 ≈ 0.37

Answer:

0.0308.

Step-by-step explanation:

There are 11 months out of the year which have a 29th day except for a leap year when all 12 have it.

Required probability = number of '29th' days in 4 years / total days in 4 years

= (3*11 + 12) / (3*365 + 366)

=  45/1461

= 0.0308.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's evaluate ~

[tex]\qquad \sf  \dashrightarrow \: 5(z + 4) + 5(2 - z)[/tex]

[tex]\qquad \sf  \dashrightarrow \: (5 \cdot z) + (5\cdot4) + (5\cdot2) - (5\cdot z)[/tex]

[tex]\qquad \sf  \dashrightarrow \: 5z + 20 + 10 - 5z[/tex]

[tex]\qquad \sf  \dashrightarrow \: 5z - 5z+ 20 + 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: 30[/tex]

So, the equivalent expression is 30

Answer:

30

Step-by-step explanation:

Let us divide the whole expression by 5. Then we must multiply the whole expression by 5 to obtain the same value as before.

Thus, we get the following expression:

[tex]\implies\huge\text{[}\dfrac{5(z+4)+5(2-z)}{5}\huge\text{]} \times 5[/tex]

[tex]\implies\huge\text{[}\dfrac{(z+4)+(2-z)}{1}\huge\text{]} \times 5[/tex]

Now, open the inner-most parentheses as the expression inside the inner-most parentheses, cannot be simplified further.

[tex]\implies\huge\text{[}\dfrac{z+4+2-z}{1}\huge\text{]} \times 5[/tex]

It should be noted that any number being subtracted from the same number is equivalent to 0. Therefore, we get the following expression:

[tex]\implies\huge\text{[}\dfrac{4+2}{1}\huge\text{]} \times 5[/tex]

Simplify the expression inside the long brackets.

[tex]\implies\huge\text{[}\dfrac{6}{1}\huge\text{]} \times 5[/tex]

Now, we can open the long brackets and simplify the product of 6/1 and 5.

[tex]\implies\huge\text{[}\dfrac{6}{1}\huge\text{]} \times 5 = \dfrac{6 \times 5}{1} = \dfrac{30}{1} = 30[/tex]

Therefore, the simplified expression is 30.

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Answer:

True

Step-by-step explanation:

Straight angles are straight lines which equal 180 degrees

Answer:

true it is equals 180 for that angle

The perimeter of the picnic area is 107 yards

A triangular picnic area has the side lengths of 45, 31 and 31 yards; To the nearest yard, what amount of fencing is needed to surround the perimeter of the picnic area? 95 yards 107 yards 160 yards 190 yards

From the complete question, we have:

Shape: Triangle

Side lengths = 45 yards, 31 yards, 31 yards

The perimeter is the sum of the side lengths.

So, we have:

Perimeter = 45 + 31 + 31

Evaluate

Perimeter = 107

Hence, the perimeter of the picnic area is 107 yards

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Answer:B

Step-by-step explanation:

107 Yards

Answer:

This is incorrect because 1 meter is 100 centimeters. But then when you keep going and when you get to 4 meters, you would get 400.

For example:

1 meter - 100 centimeters

2 meters - 200 centimeters

3 meters - 300 centimeters

4 meters - 400 centimeters

Hope this helps!

Answer:

2

Step-by-step explanation:

2x -4= 0

2x-4+4=0

2x=0+4

2x=4

2x/2=4/2

x=2

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ A=59\\ \theta =40 \end{cases}\implies 59=\cfrac{(40)\pi r^2}{360}\implies 59(360)=40\pi r^2 \\\\\\ \cfrac{59(360)}{40\pi }=r^2\implies \cfrac{531}{\pi }=r^2\implies \sqrt{\cfrac{531}{\pi }}=r\implies 13\approx r[/tex]

Answer:

I think its 4.9

Step-by-step explanation:

i used a calculator

Answer:

6+33/9 ≈ 9.67

Step-by-step explanation:

first you have to divide 33 by 9 getting roughly 3.67

once you have that u add 6

roughly giving you 9.67

The number of balloons on each package will be 15

From the information, Jason is a party planner. In 124 packages, he has a total of 1,860 balloons and each package has the same number.

Therefore, the number of balloons on each package will be:

= 1860 / 124

= 15

When a plane has to travel 2,800 miles at an average speed of 560 miles per hour. The number of hours used will be:

= 2800/560

= 5

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The additive inverse of the complex number -12 + 4i is 12 - 4i

The complex number is given as:

-12 + 4i

The additive inverse of a complex number a + bi is -a - bi

This means that the additive inverse of -12 + 4i is 12 - 4i

Hence, the additive inverse of the complex number -12 + 4i is 12 - 4i

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Answer:

It's C

Step-by-step explanation:

Answer:

f(3) = 2

Step-by-step explanation:

Remark

The formula starts out as

f(x)= 2x - 4        

So what is telling you is that were ever you see a variable on the right, it can from the x on the left.

If you change the variable on the left, you must also do it on the right.

f(3) = 2*3 -4

f(3) = 6-4

f(3) = 2

Answer:

Irrational

Step-by-step explanation:

If the number goes on and on it’s irrational

Hope this helps! ;-)

Answer:

It is not rational because the square root of 3 is not a fraction nor a repeating decimal.

Step-by-step explanation:

The slope formula from 2 points is:

m=(y2-y1)/(x2-x1)

So input the numbers:

m = (6 - -2) / (5 - 2)

Solve within parenthesis:

m = (8) / (3)

Then divide!
8/3 = 2 2/3

the slope of the line is 2 and 2/3

Answer:

Step-by-step explanation:

a straight line equals 180°. so if one side is 117°, the other side would have to add up to 180.

180-117=63

And you can kind on figure out what is the same as the other angles. Hope his helps

Answer:(x-4)^2+(y+2)^2=121

Step-by-step explanation:

eqaution of circle is this

(x-h)^2+(y-k)^2=r^2

(x-4)^2+(y--2)^2=r^2

and 2 negatives make positive

(x-4)^2+(y+2)^2=r^2
and r^2=121

(x-4)^2+(y+2)^2=121

Answer:

put x= 2 and y = 1

and see this inequality will holds

The length of the shorter diagonal is 5.241 units and the length of the longer diagonal is 14.371 units

An equation is an expression that shows the relationship between two or more numbers and variables.

Let p and q represent the length of the diagonals.

Hence:

[tex]p=\sqrt{9^2+6^2+2(9)(6)cos(34)}=14.371\ units\\\\q=\sqrt{9^2+6^2-2(9)(6)cos(34)}=5.241\ units[/tex]

The length of the shorter diagonal is 5.241 units and the length of the longer diagonal is 14.371 units

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If Circle K has a radius of 8 inches. The figure that is closest to the length of FA is: 14.8.

MAC=1/2×360°=180°

mΔAFC=1/2×180°=90°

Circumference angle theorem

AK=8

AC=2

AK=16

Pythagorean theorem

FA²+FC²=AC²

Substitution

FA²+6²=16²

FA²+36=256

FA²=√220

FA=14.8

Therefore the figure that is closest to the length of FA is: 14.8.

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Answer:

The answer choices are garbled.

Step-by-step explanation:

(18 pints)/(8 bottles) = (9/4) pint/bottle

2 and 1/4 pints per bottle

Answer:

C. y = -9x - 8

Step-by-step explanation:

Setting up the equation:

eight LESS (so minus sign before the 8) THAN (so 8 is being subtracted from the -9x) negative (-) nine TIMES (multiplication) a number, (variable) x.

We want to get the variable y alone, so this can be written as y = -9x - 8

Answer:

36.32 m

Step-by-step explanation:

perimeter = 2(l+b) = 2(10.5 + 7.66)

=2(18.16)= 36.32 m

Answer:

No solution or Undefine

Step-by-step explanation: