Which scenario can be modeled using the graph below? A temperature range is within 5 degrees of 60 degrees Fahrenheit. A scientist uses more than 55 and less than 65 mL of water in an experiment. A commuter train takes less than 55 minutes or more than 65 minutes to complete one route. A worker makes greater than $55 per day but less than $65 per day.

Answer:

LCM stands for Least Common Multiple

To calculate LCM you need to divide the no.s given by smallest divisor going to the greatest until the no.s can be divided no more

Answer:

A. Margin of error = 128.79

B. The 99% confidence interval for the population mean is (7661.21, 7918.79).

Step-by-step explanation:

We have to calculate a 99% confidence interval for the mean.

The population standard deviation is know and is σ=500.

The sample mean is M=7790.

The sample size is N=100.

As σ is known, the standard error of the mean (σM) is calculated as:

[tex]\sigma_M=\dfrac{\sigma}{\sqrt{N}}=\dfrac{500}{\sqrt{100}}=\dfrac{500}{10}=50[/tex]

The z-value for a 99% confidence interval is z=2.576.

The margin of error (MOE) can be calculated as:

[tex]MOE=z\cdot \sigma_M=2.576 \cdot 50=128.79[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=M-t \cdot s_M = 7790-128.79=7661.21\\\\UL=M+t \cdot s_M = 7790+128.79=7918.79[/tex]

The 99% confidence interval for the population mean is (7661.21, 7918.79).

Answer:

Parallel!

Step-by-step explanation:

If you put these points on a graph and connect the dots to be two lines, they are perfectly side to side :)

Answer:

[tex]\boxed{y = 2x+4}[/tex]

Step-by-step explanation:

Gradient = m = 2

Y-intercept = b = 4 (Because here x = 0 as in the point (0,4))

So, the equation becomes

=> [tex]y = mx+b[/tex]

=> [tex]y = 2x+4[/tex]

Answer:

(12, 2) is the original point on the graph of [tex]y=f(x)[/tex].

Step-by-step explanation:

Given:

[tex]y= 5f(2(x+3))-4[/tex] has a point (3, 6) on its graph.

To find:

Original point on graph [tex]y=f(x)[/tex] = ?.

Solution:

We are given that The point (3, 6) is on the graph of [tex]y= 5f(2(x+3))-4[/tex]

If we put x = 3 and y = 6 in [tex]y= 5f(2(x+3))-4[/tex], it will satisfy the equation.

Let us the put the values and observe:

[tex]6= 5f(2(3+3))-4\\\Rightarrow 6= 5f(2(6))-4\\\Rightarrow 6= 5f(12)-4\\\Rightarrow 6+4=5f(12)\\\Rightarrow 5f(12)= 6+4\\\Rightarrow 5f(12)= 10\\\Rightarrow f(12)= \dfrac{10}{5}\\\Rightarrow f(12)= 2\\OR\\\Rightarrow 2=f(12)[/tex]

Now, let us compare the above with the following:

[tex]y=f(x)[/tex]

we get y = 2 and x = 12

So, the original point on graph of [tex]y=f(x)[/tex] is (12, 2).

The price of an item with a 15% discount would be 85% of the original price, so if the original price was x, the discounted price would be: [tex]\frac{85x}{100}[/tex]

Answer:

Step-by-step explanation:

in x²+y²+2gx+2fy+c=0

center=(-g,-f)

radius=√((-g)²+(-f)²-c)

if center is not changed ,then c will change .

Here only coefficients of  E will change.

Answer:

$261

Step-by-step explanation:

Simple equation to remember.

I = PRT

In this case, "I" means investment, "P" means principal, a fancy term for saying the starting money, "R" means rate in decimal form (just move the decimal two places to the left to convert the percent to decimal), and "T" means time, which is usually in years.

All you do is just plug in 290 as P, 0.06 as R, and 15 as the T, and then you multiply that all together to get.

However, this is only the simple investment equation, there are other equations such as the compound equation used for interest. I'm assuming you're only using the normal interest equation.

Answer: (6,0)

Step-by-step explanation: To find the x-intercept, we plug a 0 in for y.

So we have 2x - 3(0) = 12.

Simplifying from here, we have 2x = 12.

Now divide both sides by 2 and we get x = 6.

So our x-intercept is 6.

This means that our line crosses the x-axis 6

units to the right of the origin or at the point (6,0).

Answer:

(6,0)

Step-by-step explanation:

The x intercept is where the graph crosses the x axis

Answer:

The above statement is written as

[tex]x + 1 \times \frac{1}{2} of \: x[/tex]

of means multiplication

So the final answer is

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

Hope this helps you.

Answer:

  f(x) = –x^2 – 12x – 36

Step-by-step explanation:

The parent function, x^2, touches the x-axis at x=0. Translating it 6 units left replaces x with x-(-6) = x+6, so the function is ...

  f(x) = (x+6)^2 = x^2 +12x +36

Reflecting the graph across the x-axis doesn't change the x-intercept, so Heather could be writing ...

  f(x) = -x^2 -12x -36

It's D.

I have to have at least 20 characters.

Answer:

no solutions

Step-by-step explanation:

y = − 3 x + 9

3 y = − 9 x + 9

Multiply the first equation  by -3

-3(y )=-3( − 3 x + 9)

-3y = 9x -27

3 y = − 9 x + 9

-------------------------

0 = 0 -18

0 = -18

This is never true so there are no solutions

Answer:

for kahn academy -- b -- ( no solutions)

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

=> 1 ticket = $7

=> 1 bag = $3

Expression # 1:

=> 4($7+$3)

Expression # 2:

=> 4($7)+4($3)

Solving it:

=> $28+$12

=> $40

Answer:

4(7+3)=28+12=40, 4(3)+4(7)

Answer: A and C

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

First, notice that we can cancel out an x in the second term. Thus:

[tex]\displaystyle \frac{3x^2}{x^2+x} =\frac{3x^2}{x(x+1)} =\frac{3x}{x+1}[/tex]

As with the last question, change the sign to multiplication and "flip" the second term:

[tex]\displaystyle \frac{2x-1}{x+1}\cdot \frac{x+1}{3x}[/tex]

Multiply straight across:

[tex]\displaystyle =\frac{(2x-1)(x+1)}{(x+1)(3x)}[/tex]

We can cancel the (x + 1) term:

[tex]\displaystyle =\frac{2x-1}{3x}[/tex]

This cannot be simplified further. Hence, our answer is B.

Answer:

It is B)

Step-by-step explanation:

Ap3x Approved

Answer:

23.14

Step-by-step explanation:

Solve for the area of the figure by dividing it up into parts.  You can divide into a half-circle and a triangle

Half-Circle

The diameter is 6.  This means that the radius is 3.  Use the formula for area of a circle.  Divide the answer by two since you only have a half-circle.

A = πr²

A = π(3)²

A = 9π

A = 28.274

28.274/2 = 14.137

Triangle

The base is 3 and the height 6.  Use the formula for area of a triangle.

A = 1/2bh

A = 1/2(6)(3)

A = 3(3)

A = 9

Add the two areas together.

14.137 + 9 = 23.137 ≈ 23.14

The area is 23.14.

Answer:

Step-by-step explanation:

The figure consists of a semi circle and a triangle

Area of the figure = Area of semi circle + Area of triangle

Area of semi circle is 1/2πr²

where r is the radius

radius = diameter/2

radius = 6/2 = 3

Area of semi circle is

1/2π(3)²

1/2×9π

14.14 sq. units

Area of a triangle is 1/2×b×h

h is the height

b is the base

h is 6

b is 3

Area of triangle is

1/2×3×6

9 sq. units

Area of figure is

14.14 + 9

= 23.14

Which is 23 sq. units to the nearest hundredth

Hope this helps you.

Answer:

C. 2,589.25

Step-by-step explanation:

Salary=$3500

Less:

Federal income withheld

15% of $3500

=15/100×$3500

=$525

Social security tax of 6.2%

6.2% of $3500

=6.2/100 × $3500

=$217

Medicare tax of 1.45%

1.45% of $3500

1.45/100 × $3500

=$50.75

Health insurance premium=$48

Savings plan of 2%

2% of $3500

=2/100 × $3500

=$70

Total less:= $525 + $217 + $50.75 + $48 + $70

Eric's net pay =$3500 - $910.75

=$2,589.25

Answer:

c

Step-by-step explanation:

Answer:

5/7

Step-by-step explanation:

We are given two points so we can find the slope by using

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

    = (15-5)/(21-7)

    =10/14

   5/7

Answer:

P (7, 28)

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

The probability of the 10th roll will be 6 is 1 out 6 because there's only one side with 6 (we spouse the dice is not biased) so the probability of the roll not to be 6 is 5/6

Answer: A right triangle with acute angles measuring 45° and 45°

Step-by-step explanation:

This question is related to the criteria of congruence for triangles.

The criteria are:

SSS (you know the 3 sides)

SAS (you know two sides, and the angle between those two sides)

ASA (you know two angles, and the side between those two angles)

AAS (you know two angles, and one side).

So for the given examples, the only one that does not reach any of those criteria is the last option, where we only have the angles:

45°, 45° and 90°.

This means that we can craft multiple triangles with this data:

this is a triangle rectangle where the length of the cathetus is the same, that is the only restriction.

For example we can have lengths:

1, 1 and √2

or 2, 2 and √(2^2 + 2^2) = √8

Answer:

A right triangle with acute angles measuring 45° and 45°

Step-by-step explanation:

Answer:

The cost of 9 peaches will be 9/50 th of the price of 50 peaches. Therefore, the answer is 9/50 * 78.95 ≈ $14.21.

Answer:

14.21

Step-by-step explanation:

To find the cost of 9 peaches, you would need to find the cost of one peach. To do this, you would need to divide 78.95 by 50. This comes out to 1.579 per  peach. To find the cost of nine peaches, you would multiply this number by 9 to get 14.211. We are not done yet since you have to round to the nearest hundredth. When rounded, you get 14.21.

Hence,

the cost of nine peaches is 14.21 dollars.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

j = -37

Step-by-step explanation:

First find the slope of 2x + 3y = 21

Solve for y

Subtract 2x from each side

2x-2x + 3y =-2x+ 21

3y = -2x+21

Divide by 3

3y/3 = -2x /3 + 21/3

y = -2/3 x +7

This is in slope intercept form y = mx+b where m is the slope and b is the y intercept

m = -2/3

The slope of parallel lines are equal

Using the two points

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

-2/3 = (17 - -9)/(j-2)

-2/3 = (17 +9)/(j-2)

Using cross products

-2(j-2) = 3 ( 17+9)

-2j +4 = 26*3

-2j +4 = 78

Subtract 4 each side

-2j = 78-4

-2j = 74

Divide by -2

-2j/-2 = 74/-2

j = -37

Answer:

log (3)           log (x)  

---------    +      ---------

    2                     2

Step-by-step explanation:

a. distribute to get → log (3)           log (x)  

                                  ---------    +      ---------

                                     2                     2

Hope this helped! :)

log√(3x) can be written in the expanded form as [tex]\frac{1}{2}[/tex] [log (3) + log (x)].

A logarithm is simply the opposite function of the exponentiation.

It is the exponent to which a number or value is raised to get some other number.

That is, if c = aˣ, then we can write it as x =logₐ c.

We know that,

√a can be written as (a) ^(1/2).

Similarly,

log√(3x) = log (3x)^(1/2)

Now, we have a rule for logarithms that, log aᵇ = b log a.

So,

log√(3x) = log (3x)^(1/2)

              = [tex]\frac{1}{2}[/tex] log (3x)

Using the multiplication rule of logarithms, log (ab) = log (a) + log(b),

              = [tex]\frac{1}{2}[/tex] [log (3) + log (x)]

Hence the expanded form is [tex]\frac{1}{2}[/tex] [log (3) + log (x)].

Learn more about Logarithms here :

https://brainly.com/question/29291192

#SPJ2

Responda:

13 gramas

Explicação passo a passo:

Answer:

5 5/12

Step-by-step explanation:

you find the common denominator which is 12

2 6/12

8/12

2 3/12

now u add them all

hope this helps

Answer:

5 5/12 cups

Step-by-step explanation:

Answer: its B 888 cm

Step-by-step explanation: hope this helps let me know if wrong ill fix it

Answer:

-45 is the answer

Step-by-step explanation:

PLZZ MARK BRAINLIEST

Answer:

x = 6 and y = 2

Step-by-step explanation:

2x + 3y = 18 .......... Eqn 1

3x - 3y = 12 ........... Eqn 2

Add both Equations to eliminate y

we have

2x + 3x + 3y - 3y = 18 + 12

5x = 30

Divide both sides by 5

5x / 5 = 30/5

x = 6

Substitute x = 6 into any of the Equations

Using equation 1

we have

2(6) + 3y = 18

3y = 18 - 12

3y = 6

Divide both sides by 3

That's

3y/3 = 6/3

y = 2

Therefore x = 6 and y = 2

Hope this helps

The value is 44.977

Feel pleasure to help u

Answer:

44.977

Step-by-step explanation:

Answer:

60-|||

61-

62-||

62

64-|||

65

66

67-|

68-|||

69-|

70-||

71

72-||

73

74-||

75

76-||

77

78-|

This is a stem and leaf plot.

mean is 138.2/20=6.91

median of 20 is half way between 10th and 11th or an ordered plot. The 10th and the 11th are both 6.8, so that is the median.

6.4 and 6.8 are modes, but they are so minimal I would say there isn't a clear mode.

The range is 1.8, the largest-the smallest

This is not a normal distribution.

z=(x-mean) sd

a.(72-70.5)/1.5=1 so z>1 is the probability or 0.1587.

b.shorter than 67.5 inches is (67.5-70.5)/1.5 or z < = -2, and probability is 0.0228.

c.Between 69 and 72 inches is +/- 1 sd or 0.6826.

95% is 1.96 sd s on either side or +/- 1.96*1.5=+/- 2.94 interval on either side of 70.5

(67.56, 73.44)units in inches

Step-by-step explanation: