The scores of eighth-grade students in a math test are normally distributed with a mean of 57.5 and a standard deviation of 6.5. From this data, we can conclude that 68% of the students received scores between

the answer to Y/8=5 Y=40

Answer:

y=40

Step-by-step explanation:

Answer:

3 cups of pancake mix and 2 cups of water

Step-by-step explanation:

For the family of 6 to have 3 pancakes each, Arjun must make at least 18 pancakes. If 1 cup of pancake mix makes at least 6 pancakes, Arjun would need three cupes of pancake mix to make at least 18 pancakes.

Now if each cup of pancake mix requires 2/3 cups of water, the amount of water needed for 3 cups of pancake mix would be

3 x 2/3 = 2 cups of water

Answer:

3 cups of pancake mix and 2 cups of water

Step-by-step explanation:

We are given that a box of pancake mix requires 1 cup of mix and 2/3 cups of water which makes at least 6 cupcakes.

If each person in Arjun's family of 6 wants to have 3 pancakes, it means that he needs to make 18 cupcakes.

To make 18 cupcakes, we need [tex]1 \times 3 =[/tex] 3 cups of pancake mix and [tex]3 \times \frac{2}{3} =[/tex] 2 cups of water.

Answer:   a) -240

Step-by-step explanation:

[tex]2\sqrt{-32}\cdot 5\sqrt{-18}\\\\=2\cdot 5\sqrt{-32\cdot -18}\\\\=10\sqrt{-1\cdot 2\cdot 2\cdot 2\cdot 2\cdot 2\cdot -1\cdot 2\cdot 3\cdot 3}\\\\\\=10(-1\cdot 2\cdot 2\cdot 2\cdot 3)\\\\=10(-24)\\\\=\boxed{-240}[/tex]

Answer:

The answer is -2/3.

Answer:

[tex]p(x)=\sqrt[3]{2-x}[/tex]

Step-by-step explanation:

we know that

The parent function of the graph is equal to

[tex]f(x)=\sqrt[3]{-x}[/tex]

The rule of the translation is equal to

[tex](x,y)-----> (x+2,y)[/tex]

The translation is 2 units to the right

so

applying the transformation

f(x)------> p(x)

The function of the graph is equal to

[tex]p(x)=\sqrt[3]{-(x-2)}[/tex]

[tex]p(x)=\sqrt[3]{2-x}[/tex]

Answer:

false

Step-by-step explanation:

Answer:

B 6x - 4y = 2

Step-by-step explanation:

Stand form of a linear equation is

Ax + By =C

8 - 4(x-y) = 2x+6

Distribute the -4

8 -4x +4y = 2x+6

Subtract 2x from each side

8 -4x-2x +4y = 2x-2x+6

8 -6x +4y = 6

Subtract 8 from each side

8-8-6x+4y = 6-8

-6x+4y = -2

We like to have x with a positive coefficient

Multiply by -1

6x -4y = 2

Its dollar per square foot

The unit for the coefficient 'k' in the equation 'C= kiw', given that 'C' is the cost in dollars and 'i' and 'w' are the dimensions of the home in an area-unit such as feet or meters, should be dollars per square foot or dollars per square meter.

The question is asking to find the unit for the coefficient k in the equation 'C= kiw' where 'C' represents the cost of a single-story home, 'i' is the length of the home, and 'w' is the width of the home. In this equation, the cost 'C' is in dollars, and the length 'i' and width 'w' are likely in feet or meters (units of length).

Therefore, the coefficient 'k' must have the units that make the equation dimensionally consistent. In other words, the units of 'k' must be such that when multiplied by area ('iw' is an area), the result is cost. So, the unit for 'k' in this context would be dollars per square foot or dollars per square meter, depending on the units used for 'i' and 'w'.

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Answer:

94.97.

Step-by-step explanation:

What is your gender

Are you married

What is your gender?

Are you married?

Final answer:

The probability of getting a 2 and then a 1, given that the first number rolled was 2, is 1/5 or 0.2 (20%).

Explanation:

The probability of getting a 2 and then a 1, given that the first number rolled was 2, can be calculated using the concept of conditional probability.

Since we know that the first number rolled was a 2, the sample space is reduced to {2, 3, 4, 5, 6}. The probability of rolling a 2 from this reduced sample space is 1/5.

Now, since we want to find the probability of rolling a 1 after rolling a 2, the reduced sample space is further reduced to {1}. The probability of rolling a 1 from this reduced sample space is 1/1, since there is only one outcome.

Therefore, the probability of getting a 2 and then a 1, given that the first number rolled was 2, is 1/5 * 1/1 = 1/5 or 0.2 (20%).

The probability of rolling a 2 and then a 1 on a six-sided number cube, given that the first number rolled was a 2, is [tex]\(\frac{1}{6}\)[/tex].

To solve this problem, we need to consider the probability of each event separately and then combine them, keeping in mind that the outcome of the first roll affects the probability of the second roll.

1. The probability of rolling a 2 on the first roll is [tex]\(\frac{1}{6}\)[/tex], since there is only one '2' on a six-sided die and there are six possible outcomes.

2. Given that the first roll is a 2, the probability of rolling a 1 on the second roll is still [tex]\(\frac{1}{6}\)[/tex]. This is because the die has no memory, and each roll is independent of the previous one. The fact that a 2 was rolled first does not change the probability of rolling a 1 on the second roll.

3. Since the rolls are independent events, we multiply the probabilities of the two events to find the combined probability:

[tex]\[ P(\text{2 and then 1} | \text{first roll is 2}) = P(\text{first roll is 2}) \times P(\text{second roll is 1}) \][/tex]

4. Substituting the probabilities we found:

[tex]\[ P(\text{2 and then 1} | \text{first roll is 2}) = \frac{1}{6} \times \frac{1}{6} \][/tex]

5. Multiplying these probabilities:

[tex]\[ P(\text{2 and then 1} | \text{first roll is 2}) = \frac{1}{36} \][/tex]

However, since we are given that the first number rolled was a 2, we do not need to consider the probability of rolling a 2 on the first roll. We only need to consider the probability of rolling a 1 on the second roll, which is [tex]\(\frac{1}{6}\)[/tex].

Therefore, the probability of getting a 2 and then a 1, given that the first number rolled was a 2, is [tex]\(\frac{1}{6}\)[/tex].

here are the answers to this question

Answer:

The zeroes are {-4, 13}

Step-by-step explanation:

Your best bet here is to determine the zeros using the quadratic formula or "completing the square."

Completing the square,

y = x² - 17x                         +52, or

y = (x - 17/2)² - (17/2)²         +52, or

y = (x - 17/2)² - 289/4          +208/4, or

y = (x - 17/2)²  - 81/4

We set this = to 0, as we want the zeros.  Then:

(x - 17/2)²  - 81/4 = 0, or

x - 17/2 = ±9/2, after having taken the square root of both sides.

Thus, one root is x = 17/2 + 9/2, or 26/2, or 13, and the other is

                             x = 1/2 - 9/2, or -8/2, or -4.

The zeroes are {-4, 13}.

Answer:

1

Step-by-step explanation:

any thing with a 0 over it is equal to 1

5*1=5 the answer is five. Hope That helped will appreciate a Brainly

➷ Divide the total weight of sugar by the number of boxes:

23.18 / 57 = 0.406666

There would be approximately 0.407 pounds of sugar per box

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Answer:

23.18 / 57 = 0.406666

0.407 (to 3 decimal places) pounds of sugar per box

Step-by-step explanation:

100%-15%=85% -- 0.85

A. doesn't work because it is increasing

B. works because your finding 85 percent since you decrease by 15 percent

C. doesn't work because you are not taking 15 percent from value of t

D. doesn't work because finging 15 percent of t and them subtracting from one won't give you the right answer

E.doesnt work because all you have to do is find 85 percent not subtract that from the original value

F.works because subtracting 15 percent from one and multiply by t would give the equation from B

So the answers are B and F

Answer: her price is 70%

Step-by-step explanation:

80% of the number 64 is 51.2

[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{0}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-(-6)}{-3-0}\implies \cfrac{0+6}{-3}\implies -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-6)=-2(x-0) \\\\\\ y+6=-2x\implies y=-2x-6[/tex]

Answer:

8 square inches

Step-by-step explanation:

The area is the number of square inches a shape covers. To find the area of a triangle use the formula A = 1/2 b*h. Here b = 4 and h = 4.

So the area is A = 1/2 4*4 = 8 square inches  

Answer:

[tex]\large\boxed{X=\sqrt{12}\ in=2\sqrt3\ in}[/tex]

Step-by-step explanation:

ΔADC and ΔCBD are similar. Therefore the corresponding sides are in proportion:

[tex]\dfrac{AD}{CD}=\dfrac{CD}{DB}[/tex]

We have

AD = 2, CD = X, DB = 6.

Substitute:

[tex]\dfrac{2}{X}=\dfrac{X}{6}[/tex]             cross multiply

[tex]X^2=(2)(6)\\\\X^2=12\to X+\sqrt{12}[/tex]

[tex]\sqrt{12}=\sqrt{4\cdot3}=\sqrt4\cdot\sqrt3=2\sqrt3[/tex]

Answer:

That's right!

Step-by-step explanation:

All of the points are in the right places! :P

Answer:

All four points are in the right place.

Step-by-step explanation:

Here's what you need to check.

The coordinate of each point is a set of two number in a round bracket.

Taking point A (9, 7) as an example.

Repeat these steps for the rest of the four points. See if every single point is in their place.

Answer:

The angular velocity is 10π rad/s or 600 rad/min.

Step-by-step explanation:

angular velocity = angle/time

0.5 revolution = 0.5 × 2π = π rad

ω = θ/t = π rad/0.1 s = 10π rad/s

Convert time to minutes

ω = 10π rad/1 s × (60 s/1 min) = 600π rad/min

Answer: B) Banana

Step-by-step explanation:

Add the amount of people who voted for each fruit to get the total amount of people. 35+30+15+25+40+5 = 150.

Now, just find 10% of 150 by multiplying 150 by .10

10% of 150 is 15, 15 people that were surveyed chose banana. :)

The Banana fruit represents 10% of the fruit for the people surveyed.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

The data presented in the bar graph.

There are total 150 fruits for the people surveyed.

To find the percent:

Use the percentage formula,

10% of 150,

= 15

Therefore, the fruit is Banana.

To learn more about the percentage;

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➷ Use the multiplier version:

40% ==> 0.4

Multiply it by the multiplier:

55 x 0.4 = 22

The answer is 22.

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A cylinder can be cut parallel to the base, the result will give the set of parallel cross-sections that are congruent circles.

A sphere is a three-dimensional shape analouge of a circle.

The sphere is a round shape that has no vertex.

The cross-section is generally a two-dimensional plane figure.

If the cone is cut parallel to the base, the result would be the base of the cone, which in cross-section, is just a circle.

A cylinder can be cut parallel to the base, the result will give the set of parallel cross-sections that are congruent circles.

Learn more about shapes;

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Final answer:

Among a sphere, cylinder, and cone, the cylinder is the only shape that possesses a set of parallel cross sections that are congruent circles, as the cross-sections made perpendicular to its base are identical in shape and size.

Explanation:

The question asks which shape among a sphere, cylinder, and cone possesses a set of parallel cross sections that are congruent circles. The cylinder is the shape that fits this description. When you make parallel cuts perpendicular to the base of a cylinder, each of the resulting cross-sections is a circle.

Moreover, these circles are congruent, meaning they are identical in shape and size. In contrast, a sphere's parallel cross-sections vary in size (getting smaller as you move towards the poles), and a cone's parallel cross-sections also vary in size (getting smaller as you move from the base to the point).

The possible outcomes of tossing a coin 4 times with 2 or 3 heads can be represented using a tree diagram.

The possible outcomes of tossing a coin 4 times can be represented using a tree diagram. Each toss has 2 possible outcomes, either a head (H) or a tail (T). Starting with the first toss, there are 2 branches representing each possible outcome. For the second toss, each branch splits into 2 more branches representing the possible outcomes of the second toss, and so on. To find the outcomes with 2 or 3 heads, we need to count the paths on the tree diagram where there are 2 or 3 branches labeled as heads (H).

Let's label the paths as follows:

Y: HHTT
Z: HTHT
W: HTTH
X: TTHH

These are the possible outcomes with 2 or 3 heads. Therefore, the answer is option B. Z.

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Answer:

18π in²

Step-by-step explanation:

We need to find the circumference of the edge of the cylinder.  The formula for circumference is C = 2πr, where r is the radius.

Here, the circumference is 2π(3 in) = 6π in.

To find the surface area covered by the label, multiply this circumference by the can height, 3 in:

V = (6π in)(3 in) = 18π in²

Approximately 18.85 square inches of paper is used for the label that covers the Lateral surface area of the soup can.

Let's find the amount of paper used for the label that covers the lateral (side) surface area of the soup can, you can calculate the lateral surface area of the cylinder.

The formula for the lateral surface area of a cylinder is:

Lateral Surface Area = 2πrh

Where:

π (pi) is approximately 3.14159

r is the radius of the cylinder

h is the height of the cylinder

In this case, the radius (r) of the soup can is 1 inch, and the height (h) is 3 inches. Plug these values into the formula:

Lateral Surface Area = 2π(1 inch)(3 inches)

Lateral Surface Area = 2π(3 square inches)

Lateral Surface Area = 6π square inches

Now, you can calculate the approximate value:

Lateral Surface Area ≈ [tex]6 \times 3.14159[/tex] square inches

Lateral Surface Area ≈ 18.84954 square inches

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Answer: [tex]\frac{x+5}{x+3}[/tex]

Step-by-step explanation:

The problem gives you the following expression:

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

Therefore, to add the fractions with equal denominator, you must rewrite the denominator (x+3) and add the numerators of each one of the fractions.

Then, keeping the above on mind, you obtain the sum shown below (You must remember to add the like terms):

[tex]\frac{x+3+2}{x+3}=\frac{x+5}{x+3}[/tex]

Answer:

The correct answer is (x + 5)/(x + 3)

Step-by-step explanation:

It is given an expression,

x/x+3 + 3/x+3 + 2/x+3

From the above expression we can see that, sum of three fractions

To find the sum

The above expression is sum of three fraction. The denominators are same which is (x + 3)

So we can add numerators

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

Therefore the correct answer is (x + 5)/(x + 3)