A set of data is summarized by the stem and leaf plot below.

Stem Leaf
1 0 0 2 2 4 5 5 5 6 7 8 8 9 9 9 9
2 0 0 0 3 3 4 5 8 8
3 0 0 1 1 3 4 5 5 5 6 6 6 6 7 7 8 8 8 9 9
4 1 2 2 3 3 3 5 5 6 6 7 8 8 9 9


The value 52 appears _________time(s) in the data set. The value 47 _________appears time(s) in the data set.

C

have a nice day!!!!!!!!!!!!!!!!!!!!!!!

Approximately 95% of data falls within 2 standard deviations (±2) of the mean. Option D is correct.

A normal distribution is a type of continuous probability distribution for a real-valued random variable such that the values are symmetric about a mean and the curve has bell shape.

Standard deviation is the measure of the randomness of the distribution. The curve has its peak at the mean.

As standard deviation increases, the peak of the curve comes lower and the distribution becomes more and more dispersed.

In a normal distribution 68% of the values falls within 1 standard deviation

and 95% of the values falls within two standard deviations. 99% of the values falls within three standard deviations.

Hence, approximately 95% of data falls within 2 standard deviations (±2) of the mean.

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Answer:

this table is exponential

Step-by-step explanation:

the way we can tell this is because we can find a common ratio of 4. we know this because linear tables have a common difference exponential tables have a common ratio. i found this answer by dividing 32,768 and 8,192

32,768/8,192 = 4

you can find a linear function by subtracting point 1 and point 2.

Answer:

[tex]\boxed{\boxed{\pink{\sf Option \ C \ is \ correct .}}}[/tex]

Step-by-step explanation:

Given to us is , 5 ( x + 12 ) and we need to find which is its equivalent in the given options .

So,

[tex]\bf = 5 ( x + 12 ) \\\\=\bf 5x + 5\times 12 \\\\=\boxed{\red{\bf 5x + 60 }}[/tex]

Answer: r=4b/m-k

Step-by-step explanation: I think

The solution of the given formula B=1/4m(r + k) for r is r = 4(B/m) - k.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

Given the expression,

B=1/4m(r+k)

4B = m(r + k)

r + k = 4B/m

r = 4(B/m) - k

Hence "The solution of the given formula B=1/4m(r + k) for r is r = 4(B/m) - k".

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Answer:

16x-6

Step-by-step explanation:

well in order to do so

u have to multiply 2 to 8x to get 16x

and then, multiply the 2 to -3 to get -6

this is the distributive property form. and that's how u get ur answer

Answer:

$13,622.4

Step-by-step explanation:

$1,135.2(what she gets paid per month) *12 (months per year)

Answer:

m=42

Step-by-step explanation:

because all straight line equal 180, we can find angle C

180-98=82

now, all triangles add up to 180. If we add up all the values we can find x

82+6x+8+5x+2=180

92+11x=180

11x=88

x=8

Now, just plug the variable into the angle measure

5(8)+2

40+2

42

Answer:

See answers below:

Answer:

EF = 8.8 cm

Step-by-step explanation:

In the given right angled ΔDEF, DE is the hypotenuse while EF and DF are adjacent sides. So that applying the Pythagoras theorem, we have;

[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]

[tex]/DE/^{2}[/tex] = [tex]/EF/^{2}[/tex] + [tex]/DF/^{2}[/tex]

[tex]/16.2/^{2}[/tex] = [tex]/EF/^{2}[/tex] + [tex]/13.6/^{2}[/tex]

262.44 = [tex]/EF/^{2}[/tex] + 184.96

[tex]/EF/^{2}[/tex] = 262.44 - 184.96

          = 77.48

EF = [tex]\sqrt{77.48}[/tex]

     = 8.8023

EF = 8.8 cm

The length of side EF is 8.8 cm.

Answer:

The sum of the exterior angles of a regular polygon will always equal 360 degrees.

Answer:

5/8

Step-by-step explanation:

Ramona went out with her 3 sisters, they spent $58 plus 9% tax on their meal. They also left 15% tip. If they divided up the bill evenly, how much did each of them spend?

[tex] \frac{58 + 58(9\% + 15\%)}{3} [/tex]

[tex] = \frac{58 + 58(0.09 + 0.15)}{3} [/tex]

[tex] = \frac{58 + 58 \times 0.24}{3} [/tex]

[tex] = \frac{58 + 13.92}{3} [/tex]

[tex] = \frac{71.92}{3} [/tex]

[tex] = 23.97[/tex]

Each of them did spend $23.97

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Answer:

True

Step-by-step explanation:

Principle = Interest * Time

So if time doesn't change, You'll get more money when Interest is higher!

Answer:

8-(-7)=

8(7)=

8+7=15

Step-by-step explanation:

prove me wrong

Answer:

The answert is "$0.007 / bottle".

Step-by-step explanation:

Please find the complete question in the attachment file.

[tex]\to R(x) =7.5x^{0.7}[/tex]

The  average income:

[tex]\to A(x) = \frac{R(x)}{x} =7.5 x^{-0.3}[/tex]

The change rate on the average revenue:

[tex]\to A'(x) =7.5(-0.3)x^{-1.3}[/tex]

when 81 bottles were produced , then the rate of change in average revenue

[tex]\to =A'(81)\\\\\to -0.007 \ / \ bottle[/tex]

The average income  is decreasing at rate = $0.007 / bottle

Answer: The answer is -9

Step-by-step explanation:-8 - 1 = -9

Answer:

I can't read the words the picture is to grainy

Answer:

10% would be 6

Step-by-step explanation:

First you want to find the 100 percent amount  to turn 40 into 100 you need to multiply it by 2.5 so you want to take 24 and multiply by 2.5 which equal 60 and 60 divided by 10  is 6

Answer:

$1.03

Step-by-step explanation:

7/8 = 0.875

then

43 7/8 = 43.875%

43.875/100 = 0.43875

2.35 * 0,43875 = 1.031

Round to the neares cent:

1.03

Step-by-step explanation:

[tex]43 \frac{7}{8} \% \: of \: 2.35 \\ \frac{351}{8} \% \: of \: 2.35 \\ \frac{351}{8 \times 100} \times 2.35 \\ \frac{824.85}{800} = \boxed{\$1.0310625}[/tex]

Answer:

Step-by-step explanation:

1. isosceles

2. right scalene

3. obtuse scalene

4. equilateral

5. right isosceles

6. acute scalene

7. equilateral

8. isosceles

the answer will be 10 just multiply the numbers

Answer:

6y + 6x

Step-by-step explanation:

the expanded form would be 6 multiplied to each item in the parenthesis

this gets you 6x + 6y

Given:

In [tex]\Delta ABC, \overline{CA}=\overline{CB}[/tex].

[tex]\overline{CD}[/tex] is an altitude drawn from C to [tex]\overline{AB}[/tex].

To prove:

[tex]\overline{CD}[/tex] bisects [tex]\overline{AB}[/tex].

Proof:

In [tex]\Delta ABC[/tex], [tex]\overline{CD}[/tex] is an altitude drawn from C to [tex]\overline{AB}[/tex].

It means, [tex]\Delta ACD\text{ and }\Delta BCD[/tex] are right angle triangles.

In [tex]\Delta ACD\text{ and }\Delta BCD[/tex],

Hypotenuse : [tex]\overline{CA}=\overline{CB}[/tex]       [Given]

Leg : [tex]\overline{CD}=\overline{CD}[/tex]       [Common]

If the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then by HL postulate both triangles are congruent.

[tex]\Delta ACD\cong \Delta BCD[/tex]        [HL postulate]

[tex]\overline{AD}\cong \overline{BD}[/tex]       [CPCTC]

[tex]\overline{AD}=\overline{BD}[/tex]

It means, point D is the midpoint of [tex]\overline{AB}[/tex].

So, [tex]\overline{CD}[/tex] bisects [tex]\overline{AB}[/tex].

Hence proved.

Answer:

369 m²

Step-by-step explanation:

Area of Triangle (sides): 1/2bh

=1/2(bh)

=1/2 (9•16)

=1/2 (144)

=72

There are four sides of the prism:

72•4=288

Area of Square (base): l•w

=9•9

=81

Surface Area = 288+81=369 m²

Answer:

369 m²

Step-by-step explanation:

The average rate of change of h(t) = -16t ² + 40t + 4 between t = 0 and t = 2 is

(h (2) - h (0)) / (2 - 0) = ((-16×2² + 40×2 + 4) - (-16×0² + 40×0 + 4)) / 2

… = ((-64 + 80 + 4) - 4) / 2

… = 16 / 2

… = 8

h(t) is measured in feet, so the average rate of change is measured in feet per second, so it's 8 feet per second.

Answer:

yasssssss queen/king

Step-by-step explanation:

Answer:

Step-by-step explanation: Do rise and run