For the following set of data, find the percentage of data within 2
population standard deviations of the mean, to the nearest percent.
58, 77, 31, 54, 58, 54, 56, 58, 56

Answer:

It is not a solution

Step-by-step explanation:

Plug the point into the equations and check to see if they are true

y=3x - 3

3 = 3(6) -3

3 = 18-3

3 = 15

False

We do not need to check the other equation since this is false

Answer:

x = 3/2

The axis of symmetry is located at the vertex,

which is the also the highest point in this problem...

the x component of the vertex can be calculated as -b/2a = -48/-32 = 24/16 = 6/4 = 3/2

x = 3/2

Step-by-step explanation:

Answer:

[tex]\text{C. }\pm \frac{1}{2}[/tex]

Step-by-step explanation:

Start by moving the 2 to the right (so we can multiply both sides by the denominator):

[tex]\frac{1}{2x^2-1}=-2[/tex]

Multiply both sides by [tex]2x^2-1[/tex]:

[tex]1=-2(2x^2-1),\\1=-4x^2+2[/tex]

Move everything to one side:

[tex]4x^2-2+1=0,\\4x^2-1=0,\\4x^2=1,\\x^2=\frac{1}{4},\\x=\boxed{\pm\frac{1}{2}}[/tex]

Answer:

the answer for this is C.

Answer:

24

Step-by-step explanation:

Based on the number of flowers and teachers left, the other ways Helena can distribute the other flowers is in 24 combinations.

This can be found as:

= (4 flowers left x 3 flowers after 4th teacher given x 2 flowers x 1 flower for last teacher)

Solving gives:

= 4 x 3 x 2 x 1

= 24 combinations

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Answer:

168 cm²

Step-by-step explanation:

altura = 3/7 × 28 = 12 cm

area = ½×28×12 = 168 cm²

Answer:

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

⏩ 107° angle will be an obtuse angle because its measurement is more than 90° but less than 180°.

⁺˚*･༓☾✧.* ☽༓･*˚⁺‧

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Answer:

An obtuse angle

Step-by-step explanation:

Angles are classified by how large their degree measure is. Here is a list of the basic classifications of an angle,

acute: degree measure between (0) and (90) degrees

right: exactly (90) degrees,

obtuse: degree measure between (90) and (180) degrees

reflex: degree measure between (180) and (360) degrees

Answer:

2y +6x=4

Step-by-step explanation:

2y=4-6x

y =(4-6x)÷2

Answer:

15

Step-by-step explanation:

u add up that then u get the answet

Answer:

x = 6 m

Step-by-step explanation:

x = 16sin22°

x = 6.0 m

Answer:

Step-by-step explanation:

Answer:

12 units

Step-by-step explanation:

the perimeter = 3 + 4 + 5 = 12 units

The perimeter of a triangle is 12 cm.

To find the perimeter of the triangle.

What is triangle?

A triangle has three sides, three vertices, and three angles. The sum of the three interior angles of a triangle is always 180°.

Use the distance formula to find the length between point A and B, B and C, C and A. Then add all three lengths together to get the perimeter.

 Distance = √ ( (x2 - x1)2 + (y2 - y1)2 )

Points A and B:

d = √(-3 +3)2 + (2 - 5)2

d = √ 0 + 9

d = √9

d = 3

Points B and C:

d = √ (1+ 3)2 + (2 -2)2

d = √ 16 + 0

d = √ 16

d = 4

Points C and A:

d = √ (-3 - 1)2 + (2 -5)2

d = √ 16 + 9

d = √ 25

d = 5

Perimeter=  3 + 5 + 4 = 12

So,  the perimeter of a triangle is 12 cm.

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Step-by-step explanation:

answer is in photo above

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is constant.

The graph of the line y +2 = 1/2 (x + 2), can be drawn as shown below. Therefore, the line will be a straight line passing through (0,-1) on the y-axis, and (2,0) on the x-axis.

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The fraction of  42 that is 6 is mathematically given as

42*1/7

Generally, the equation for the statement is mathematically given as

42/x=6

Therefore

x=42/5

x=7

In conclusion, The fraction of  42 that is 6  is

42*1/7

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Given:

Principal = $54,000

Time = 9 years

Rate of compound interest = 12% per annum.​

To find:

The compound interest.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is the rate of interest in decimal, n is the number of time interest compounded and t is the number of years.

The interest is compounded annually, so [tex]n=1[/tex].

Substituting [tex]P=54000,\ t=9,\ n=1,\ r=0.12[/tex] in the above formula, we get

[tex]A=54000\left(1+\dfrac{0.12}{1}\right)^{1(9)}[/tex]

[tex]A=54000\left(1.12\right)^{9}[/tex]

[tex]A=149746.252902[/tex]

[tex]A\approx 149746.25[/tex]

The amount after 9 years is $149746.25.

Now, the compound interest is:

[tex]C.I.=A-P[/tex]

Where, C.I. is compound interest, A is amount and P is principal.

[tex]C.I.=149746.25-54000[/tex]

[tex]C.I.=95746.25[/tex]

Therefore, the compound interest is $95746.25.

Answer:

it's second option

[tex]5 \times \frac{2}{5} [/tex]

Step-by-step explanation:

for this change them to points so it be easier to solve

[tex] \frac{2.25}{x} = \frac{1.5}{3.6} \\ \\ x = \frac{3.6 \times 2.25}{1.5} = 5.4[/tex]

and then 5.4 equals 5(2/5)

Here,

BC = 12

CD+BD=12

2x-9+x-9 =12

3x-18 12

3x =12+18

x =30/3

x =10

Now,

CD = 2x-9

= 2×10-9

= 20-9

= 11

Therefore,CD = 11

Hope this solution may help you!!☺

The value of the segment CD is 11 units for the given line segment.

A line segment is a fundamental geometric object that represents a portion of a straight line with defined endpoints. It is a finite portion of a line that connects two distinct points. The endpoints of a line segment are specific points that mark its boundaries.

From the given image the value of x will be calculated as,

CD + DE = 12

(2x - 9 ) + ( x - 9 ) = 12

3x - 18 = 12

3x = 30

x = 10

The measure of the segment CD is,

CD = 2x - 9

CD = 2(10) - 9

CD = 20 - 19

CD = 11

Therefore, the value of the segment is 11.

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Answer:

A

Step-by-step explanation:

Lines are parallel...

Answer:

-3 is the gradient.

BONUS: y-interspet is -1

Step-by-step explanation:

The gradient is what you mean by slope I am guessing?

well, the line that contains those points will more or less look  like the one in the picture below, and we can use any two points from that set to get its slope, say hmmmmm let's use (-5,7) and (1,-2)

[tex](\stackrel{x_1}{-5}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{7}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{(-5)}}}\implies \cfrac{-9}{1+5}\implies \cfrac{-9}{6}\implies -\cfrac{3}{2}[/tex]

Answer:

The correct answer is B. Long-term.

Step-by-step explanation:

Since Zach has bought a car for $ 20,000 paying a down payment of $ 5,000 and monthly payments of $ 450 per month for 5 years, he will be paying a total of $ 32,000 for that car (5,000 + 450 x 12 x 5). Thus, the responsibility that Zach has incurred forces him to maintain his monthly payment obligation for 5 years, thus becoming a long term liability.

Answer:

[tex]mode = l _{1} + ( \frac{d _{1} }{d _{1} + d _{2}} ) \times c \\ \\ = 6.5 + (\frac{50}{50 + 88} ) \times 3 \\ = 7.59[/tex]

Answer:

16

Step-by-step explanation:

they got 16 all together in total

Answer:

$10x

Step-by-step explanation:

We know that Krystal got $10 from his father but we don't know how much Krystal got from his mother because there's just x for the amount. So, we can just write that Krystal got $10x altogether.

Hope this helps

Answer:

5/6 hours

Step-by-step explanation:

Create a proportion where x is the number of hours it will take to walk 1/6 of a mile:

[tex]\frac{1/5}{1}[/tex] = [tex]\frac{1/6}{x}[/tex]

Cross multiply and solve for x:

1/5x = 1/6

x = 5/6

So, it will take the tortoise 5/6 hours to walk 1/6 of a mile

Answer:

Step-by-step explanation:

rather than doing all of the sums, you should just learn the formula (for the pattern)

it is n(highest + lowest) where n is number of numbers

             2

for example 2+3+4+5+6 = 20

5(6+2) =  20

  2

~~~~~~~~~~~~~~~~~~~~

1+2+3+4+5+6+7+8 = 36

8(9) = 72/2= 36

2

Bread is usually fine to eat if you don't see any mold.

Once refrigerated, it will retain its freshness for three to four days before becoming stale. If you want to extend its shelf life, packaged bread will stay fresh for at least three months in the freezer. If you do see mold, however, throw the bread out.

Answer:

(x + (2), y - (4))

Step-by-step explanation:

An easy way to figure out how a shape has undergone a ridge transformation (meaning a transformation only in location and not size) is to compare corresponding points on the figure.

In this figure, use point (C) to describe the transformation. Point (C) is located at (-2, 4). However, its corresponding point (C') is located at (0,0). To go from (-2, 4) to (0,0) one has to add (2) units to the (x-coordinate) and subtract (4) units from the (y-coordinate). Therefore, the transformation can be described as the following,

(x + (2), y - (4))

Answer:

493.29[tex]cm^2[/tex]

Step-by-step explanation:

Multiply all values (6.72, 5.78, and 12.7) together, then round to the nearest tenth.

Answer:

10 cm

Step-by-step explanation:

In a right triangle, there are three sides, A, B, and C.

A and B are the short sides, while C is the long side.

So we know that A = 6 cm, and B = 8 cm.

We can then use the Pythagorean theorem which states that

[tex]C=\sqrt{(A^2)+(B^2)[/tex]

Once we plug in the numbers we get

[tex]C=\sqrt{6^2+8^2}[/tex]

[tex]C=\sqrt{36+64}[/tex]

[tex]C=\sqrt{100}[/tex]

C=10 cm

Answer:

2x + 5

ok.. slightly silly question...

you will eventually learn that this formula is the

formula for the "derivative" in calculus....

A[tex]x^{b}[/tex] becomes (a*b)  [tex]x^{b-1}[/tex]

2x + 5

Step-by-step explanation:

Answer:

3x² + 8x + 1

Step-by-step explanation:

Given

4(x² - 1) - (x² - 8x - 5) ← distribute both parenthesis

= 4x² - 4 - x² + 8x + 5 ← collect like terms

= 3x² + 8x + 1