How many apples could you buy if you went to the store with five dollars? *

The z-scores for a deta seller making $13 and $17 an hour will be [tex]Z_{13}=0.5 \ \ \ Z_{17}=2.5[/tex]

The z-scores give us information about how many standard deviations from the mean the data are. This difference can be negative, if the data are n deviations to the left of the mean, or it can be positive if the data are n deviations to the right of the mean.

To calculate the Z scores, we calculate the difference between the value of the data and the mean and then divide this difference by the standard deviation.

[tex]Z=\dfrac{X-\mu}{\sigma}[/tex]

Where x is the value of the data, μ is the mean and σ is the standard deviation

In this case :

μ = 12 $/h

[tex]\sigma[/tex] = 2 $/h

We need to calculate the Z-scores for x=17 and x=13

[tex]Z_{13}=\dfrac{13-12}{2}=0.5[/tex]

[tex]Z_{17}=\dfrac{17-12}{2}=2.5[/tex]

Thus the z-scores for a deta seller making $13 and $17 an hour will be [tex]Z_{13}=0.5 \ \ \ Z_{17}=2.5[/tex]

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The kind of food that will finish and get used up first is the boxes of granola.

Word problem in mathematics is the use of critical understanding of the problem which then employs basic arithmetic operations, fractions, ratios, algebraic expression, etc to solve real-life problems.

From the parameters given:

The time at which the 65 tubs of yogurt will finish:

= 65/4

= 16th rounds with a remainder of 1 tub

The time at which 16 boxes of granola will finish:

= 16/4

= 4th round

A tub of yogurt is roughly 17 ounces while a box of granola is 1 ounce.

Therefore, we can conclude that the kind of food that will finish and get used up first is the boxes of granola.

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Answer:

0.18

Step-by-step explanation:

Maths big brain

Answer: True

Step-by-step explanation:

Let the point (7, 1) be Point A

Let the perpendicular bisector of the line joining (2,4) and (4,6) be Line PQ; P(2, 4) and Q(4, 6)

If A (7,1) lies on perpendicular bisector of P(2,4) and Q (4, – 6), then AP=AQ

[tex]\begin{aligned}\therefore \quad A P &=\sqrt{\left(2-7\right)^2+\left(4-1\right)^2}\:\\&=\sqrt{5^2+3^2}\\&=\sqrt{25+9}=\sqrt{34} \\\mathrm{and} \ \ \ A &=\sqrt{\left(4-7\right)^2+\left(6-1\right)^2}\: \\&=\sqrt{3^2+5^2} \\&=\sqrt{9+25}=\sqrt{34}\end{aligned}[/tex]

Therefore, (7, 1) does lie on the perpendicular bisector of the line joining (2,4) and (4,6)​

Answer:

The correct one is B)

Step-by-step explanation:

Dividing with the same base subtracts the power

The distance between Samir and Ayisha is 2 ft.

Samir and Ayisha are on one side of a river. Since they are on the same side, they may likely be close to each other.

Katia is on the other side of the river. It is likely Katia is far from Samir and Ayisha.

The distance between Samir and Katia is 82 ft. Therefore, the distance between Ayisha and Katia is 80 ft.

The distance between Samir and Ayisha = 82 ft - 80 ft

The distance between Samir and Ayisha = 2 ft

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Answer:

s = 4, t = 1.2.

Step-by-step explanation:

y = k/x   (Inverse variation, k is some constant)

Substituting:

2 = k/3

k = 2*3 = 6

So the relation is y = 6/x.

So 1.5 = 6/s

s = 6/1.5 = 4.

t = 6/5 = 1.2.

The intersect method involves spliting an equation to a system of equations

The solutions to the equation are (-1, 3) and (3,-5)

The equation is given as:

-2x + 1 = -x^2 + 4

Using the intersect method, we have the following equations

y = -2x + 1

y = -x^2 + 4

Next, we plot the graph of both equations

From the graph (see attachment), we have the following points of intersection

(x,y) = (-1, 3) and (3,-5)

Hence, the solutions to the equation are (-1, 3) and (3,-5)

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Answer:

she ate 4 slices

Step-by-step explanation:

Answer:

1/4 × 16

=4

therefore she ate 4 slices

-15/-21 -14/x

-15x = -21 * -14

x = -19.6

answer -14c = -19.6 or about -20

answer 3c = .6 or about 1

formula would be

y= 1.2x -3

partial variation means the line doesn't go through (0,0)

Answer:

163.3m²

Step-by-step explanation:

area = Pi(r²)

r = d / 2

r = 12

12² = 144

144 x 3.14 = 452.16

diameter of bigger circle = 24 + 4 (2 on each side)

28 / 2 = 14

14² = 196

196 x 3.14 = 615.44

sidewalk = bigger - smaller

sidewalk = 615.44 - 452.16

sidewalk = 163.3

Answer:

$645.89

Step-by-step explanation:

Answer:

1 - 50

5 - 90

10 - 140

50 - 540

Step-by-step explanation:

The rate of change is 10/1, while the Y-intercept is 40. The equation would be Y=10x+40

x^2 + x

---Both of these terms both contain an x, which means we can factor out one x.

x(x + 1)

Simplified: x(x + 1)

Hope this helps!

Answer:

90 months

Step-by-step explanation:

Let x = number of months

Let y = total cost of deal

Big City Nissan

   y = 3000 + 420x - 840

⇒ y = 2160 + 420x

Rye Town

y = 3960 + 400x

Equate the equations and solve for x

   2160 + 420x = 3960 + 400x

⇒ 420x - 400 x= 3960 - 2160

⇒ 20x = 1800

⇒ x = 90

Answer:

x = 2

Step-by-step explanation:

mean = sum of data / number of data

3 = 2 + 5 + x + 2 + 4 + 3 / 6

3 = 16 + x / 6

18 = 16 + x

2 = x

The missing value of data is 2.

The simplest and most popular way to measure a mean or average is the arithmetic mean. It simply entails adding up a collection of numbers, then dividing that total by the total number of numbers in the series.

We have,

Data: 2,5, X, 2, 4, 3

Mean= 3

So, Mean

3 = Sum of data/ Total number of data

3 = (2 + 5 +x + 2 + 4 +3)/ 6

18 = 16 + x

x = 18 - 16

x= 2

So, the missing value of data is 2.

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Step-by-step explanation:

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Answer:

a)  5, -3, -4, 0

b)  Curve B

Step-by-step explanation:

Given equation:

[tex]y=x^2-4x[/tex]

Inputting the values of x into the equation to find the missing values of y:

[tex]x=-1 \implies y=(-1)^2-4(-1)=5[/tex]

[tex]x=1 \implies y=(1)^2-4(1)=-3[/tex]

[tex]x=2 \implies y=(2)^2-4(2)=-4[/tex]

[tex]x=4 \implies y=(4)^2-4(4)=0[/tex]

[tex]\large\begin{array}{| c | c | c | c | c | c | c | c |}\cline{1-8} x & -1 & 0 & 1 & 2 & 3 & 4 & 5\\\cline{1-8} y & 5 & 0 & -3 & -4 & -3 & 0& 5\\\cline{1-8}\end{array}[/tex]

According to the table:

Therefore, Curve B matches the graph of [tex]y=x^2-4x[/tex]

Answer:

c

Step-by-step explanation:

40 cubic units

divide the shape into 2 pieces first.

4 × 4 ×2 = 32

4×2 = 8

32 + 8 = 40

the idea being that, each cube in the stack, is a 1x1x1 = 1 unit³, now if that's so, then, Check the picture below.

Answer

20.5

Step-by-step explanation:

You multiply 5.4 and 3 to get 16.2. Then you add 16.2 and 4.3 to get 20.5.

Answer:

a = m+30

Step-by-step explanation:

malik is always 30 points under alexia  so in order for malik to be equal to alexia he would have to add an additional 30. i hope this helps :)

So that is how it goes hope this helps

Answer: I think the answer is 25 nickels? Im sorry if I get it wrong

Step-by-step explanation:

Answer: 58 1/3 in^3.

Step-by-step explanation: To find the volume of a pyramid, you need to multiply the length, width, and height and divide it by 3.  The length and width are both 5 and the height is 7, so the equation is 5 x 5 x 7.  The answer to that is 175.  Now, you have to divide 175 by 3, which is 58.33, or 58 1/3, which is your answer.

Let me know if this is right! :)

Answer:

√13

Step-by-step explanation:

Let,

( x1, y1 ) = ( 1, 1 )

Here,

x1 = y1 = 1

( x2, y2 ) = ( 3, 4 )

Here,

x2 = 3

y2 = 4

Formula : -

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

( Distance )² = ( 3 - 1 )² + ( 4 - 1 )²

                    = 2² + 3²

                    = 4 + 9

( Distance )² = 13

Distance = √13

Answer:

3.61

Step-by-step explanation:

length=[tex]\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1} )^{2} )}[/tex]

          =[tex]\sqrt{(3_{}-1_{} )^{2}+(4_{}-1_{} )^{2} )}[/tex]

          = 3.61

Answer:

B and D    

Step-by-step explanation:

in D 15x+9=15x+9

in B x=0

Answer:

Bottom Right = (2 x 10^-3) x (4 x 10^4) = 8 x 10^1

Step-by-step explanation:

because after the exponents it devides

Answer:

6a^2 + ab - 2b^2

Step-by-step explanation:

[insert something smart]

Answer:

x=1/6

Step-by-step explanation:

3x+4=9x+3

isolate x

1=6x

1/6=x

[tex]======================================[/tex]

First, let's move all the x's to the left:

3x+4=9x+3

3x-9x+4=3

Now, move 4 to the right:

3x-9x=3-4

Combine Like Terms:

-6x=-1

Divide both sides by -6:

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

[tex]=========================================[/tex]

[tex]\mathcal{Diamond}[/tex] ([tex]\boxed{An~Emotional~Helper}[/tex])