One half times ? Equals ?

The first quartile Q1 is 84.44 which separates the bottom 25% from the top 75%.

We have to find the first quartile Q1, which separates the bottom 25% from the top 75%.We know that for a normal distribution, the z-score is given as

z = (x - μ)/σ

where x is the IQ score.

Let Q1 be the IQ score below which the bottom 25% lie.So, the area to the left of Q1 is 0.25.

Thus, the corresponding z-score is given as:

z = invNorm(0.25) = -0.6745

Now, substituting the given values in the above equation, we get:-0.6745 = (Q1 - 95.9)/16.4

Q1 = -0.6745(16.4) + 95.9

Q1 = 84.44

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Answer:

Step-by-step explanation:

y=8.25x+10

20 hours

8.25*20 is 165

165+10 is 175

Answer:

6.60

Step-by-step explanation:

1.50 x 4 = 6.00 (cost of chips for all 4)

6.00 x .10 = .60 (tax)

6.00 + .60 = 6.60 (total)

Answer:

im pretty sure its C not great at math though

Step-by-step explanation:

a. The GRP (Gross Rating Points) for the four-week media buy with a 62 reach and 3.2 frequency can be calculated by multiplying the reach by the frequency. Therefore, the GRP for this buy is 62 * 3.2 = 198.4 GRPs.

b. In the case of the similar buy with 230 GRPs and a 50% reach, we can calculate the frequency by dividing the GRPs by the reach. So the frequency is 230 / 50 = 4.6.

When you reach fewer people, you gain a higher frequency. The difference in frequency between the two buys can be calculated by subtracting the initial frequency (3.2) from the frequency in the second buy (4.6). Therefore, the gain in frequency is 4.6 - 3.2 = 1.4.

c. To determine which buy is better, we need to consider the marketing objectives and strategies. If the objective is to maximize reach and exposure to a wider audience, the first buy with a higher reach of 62 would be better. However, if the objective is to focus on repetition and frequency of message delivery to a more targeted audience, the second buy with a higher frequency of 4.6 might be more suitable. The choice depends on the specific goals and priorities of the advertising campaign.

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Answer: 14%

Step-by-step explanation:

Complete question is provided in the attachment below:

Probability that members of the junior varsity swim team wear glasses = 55%=0.55

Given: P(wear glasses) = 0.55

P(not wear glasses) = 1-0.55 = 0.45

P(member in 10th grade | not wear glasses) = 30%

Using conditional probability formula:

\(P(B|A)=\dfrac{P(A\text{ and } B)}{P(A)}\)

\(\Rightarrow\ 0.30=\dfrac{P(\text{not wear glasses and in 10th grade})}{0.45}\\\\\Rightarrow\ P(\text{not wear glasses and in 10th grade})=0.45\times0.30\\\\0.135=13.5\%\approx14\%\)

Hence, the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade = 14%.

So, the correct option is "14%".

Answer

It would be 1005

Step-by-step explanation:

because it says what is the maximum potential profit for tent sales.

Answer:

Bru just do base times hight with all the sides 4 head.

Answer:

$140.00

Step-by-step explanation:

22 students x $5.00 + $30

22 x $5.00 = $110.00

$110.00 + $30.00 = $140.00

Answer:

The answer is 140

Step-by-step explanation:

22 x 5 =110

110+30 = 140

Answer:

17/20

Step-by-step explanation:

Add 65/100 to 2/10

They collected 17/20 of cans of food altogether

The function y = 3ˣ - 5 has the following features

Given that

y = 3ˣ - 5

The function y = 3ˣ - 5 represents exponential growth because the base (3) is greater than 1

The function is defined for all real numbers since any value of x will result in a real value of y.

The range of the function is all real numbers greater than -5.

This is because 3^x is always positive

So y will always be greater than -5

To find the y-intercept, we set x = 0 in the equation:

So, we have

y = 3⁰ - 5

y = -4

In the range, we have

y will always be greater than -5

So, the asymptote is y = -5

The graph is added as an attachment

The table of values is:

x y

-2 -44/9

-1 -14/3

0 -4

1 -2

2 4

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Answer:

1.5

Step-by-step explanation:

1.5 is the outlier because if one were to include it in the average, it would make the overall average higher than it should be.

The probability distribution of x depends on the value of y. When y is 1, x has a higher probability of being 2, while when y is 2, x is more likely to be 8.

The given information defines the probability distributions of both x and y. The variable y is a discrete random variable with two possible outcomes, 1 and 2. The probabilities assigned to each outcome, 1/8 and 7/8, indicate the likelihood of y taking on those values. Given the value of y, the variable x is determined. When y is 1, x takes on the value of 2y, which is 2.

This occurs with a probability of 3/4. On the other hand, when y is 2, x becomes 4y, resulting in a value of 8. This happens with a probability of 1/4. We have a random variable y that can take on the values 1 and 2 with probabilities of 1/8 and 7/8, respectively. Based on the value of y, the random variable x is determined to be 2y with a probability of 3/4 and 4y with a probability of 1/4.

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The significant digits the product should have is 2

Multiplying scientific values

Scientific notations are expressed in the form A * 10^n

where

A is any real number between 1 and 10

n is any integer

When multiplying scientific notations, the final product must be to the scientific notation that has the least decimal place.

Since the least decimal place in the given measurement is 2,

hence the significant digits the product should have is 2.

Start by looking at the left side of your degrees of freedom and find your variance. Then, go upward to see the p-values. Compare the p-value to the significance level or rather, the alpha. Remember that a p-value less than 0.05 is considered statistically significant.

A test of significance is a formal procedure for comparing observed data with a claim (also called a hypothesis), the truth of which is being assessed. • The claim is a statement about a parameter, like the population proportion p or the population mean µ.

The role of significance level.

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Answer:

\( \frac{2}{ |1 - x| \times |1 - x| } = \)

\( = \frac{2}{ |1 - x|^{2} } \)

or

\( \frac{2}{ |1 - x| \times |1 - x| } = \)

\( = |1 - x| \times |1 - x| = 0\)

\( = |1 - x |^{2} = 0\)

\( = |1 - x| = 0\)

\( = 1 - x = 0\)

\( = ( - x) = ( - 1)\)

\( x = 1\)

Step-by-step explanation:

I Hope This Help

Answer:

7 times

Step-by-step explanation:

So since it rings every half hour, there should be 2 rings every hour, if not you are not on our planet. (60 mins in an hour, 30 mins = 1, so 60 mins =2)

So since it rings for 3 full hours, we get an initial step of 3 * 2 = 6 rings

Then there is another 1/2 ring because 3 and a 1/2 hours. So 6+1=7

hope i helped :) im not sure what you mean by model :(

A linear equation that is in one variable is shown by option C.

A linear equation is a mathematical equation that, when plotted on a Cartesian coordinate system, represents a straight line. It is an algebraic expression having variables raised to the power of 1, constants, and coefficients.

In many disciplines, including physics, economics, engineering, and more, interactions between variables are modeled using linear equations, which are fundamental to mathematics. They offer a clear and uncomplicated method for representing and analyzing linear connections and making predictions based on the available data.

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Answer:

Step-by-step explanation:

Total for football: 9 +7

Total for figure skating: 12 +7

NEW Total for football: 16

NEW Total for figure skating: 19

The question says that 9 people like football

The question says that 12 people like to watch figure skating

The question also says that 7 people like to watch both, and because of that, you should add 7 to both 9 and 12, but keep the new numbers separated from each other. So once we know the sum of 9 +7 is 16, and 12 + 7 is 19, we can subtract the two numbers, and get 3 as the answer. Because you are counting the number of times that you have to travel up or down to the other number, and so if you are on a set of stairs that go up to the 16 level and you are on the 14th level, you need to travel up 2 sets of stairs to get to level 16.

Hope that example helps and can help in the future with other problems!

Answer:

x > 17

Step-by-step explanation:

x - 5 > 12 ( isolate x by adding 5 to both sides )

x > 17

-------------- from your comment

x - (- 5) > 12 , that is

x + 5 > 12 ( subtract 5 from both sides )

x > 7

The perimeter of the square is 52 units.

In this question,

the points (1, -2) and (-4, 10) are adjacent vertices of a square.

We need to find the perimeter of the square

The side length of a square is the distance between given two points.

Let a be the side length of the square.

\(a=\sqrt{(-4-1)^2+(10-(-2)^2)}\\\\ a=\sqrt{25+144}\\\\ a=\sqrt{169}\\\\ a=13\)

The side length of the square is 13 units.

so, the perimeter of a square would be,

P = 4a

P = 4 × 13

P = 52 units

Therefore, the perimeter of the square is 52 units.

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A 3x3 matrix that represents a rotation in two-dimensional space of 60 degrees is:

| cos(60°)  -sin(60°)  0 |

| sin(60°)   cos(60°)  0 |

|    0           0            1 |

To represent a rotation in two-dimensional space using a matrix, we can use the concept of homogeneous coordinates, where we extend the two-dimensional space to three dimensions by adding a third coordinate. This allows us to represent the rotation as a 3x3 matrix.

In the given matrix, the rotation is 60 degrees. To determine the entries of the matrix, we use the trigonometric functions cosine (cos) and sine (sin) of the rotation angle.

The top-left entry, cos(60°), represents the cosine of 60 degrees, which is 1/2. The top-right entry, -sin(60°), represents the negative sine of 60 degrees, which is -√3/2. The middle-left entry, sin(60°), represents the sine of 60 degrees, which is √3/2. The middle-right entry, cos(60°), represents the cosine of 60 degrees, which is 1/2. The bottom-left and bottom-right entries are both zeros, as they represent the z-coordinate in the extended three-dimensional space.

This matrix can be used to multiply with a vector representing a point in two-dimensional space to achieve the rotation of 60 degrees. The multiplication operation would result in a new vector representing the rotated point.

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Answer:

a) 28 units

b) 0.0262 seconds

c) Minimum height of the nail = 1.923 units

Step-by-step explanation:

a) From the given equation, f(x) = -14×cos(720(t - 10)) + 14 comparing with the equation for periodic function, y = d + a·cos(bx - c)

Where:

d = The mid line

a = The amplitude

The period  = 2π/b

c/b = The shift

Therefore, since the length of the mid line and the amplitude are equal, the diameter of the bike maximum f(x) = -14×-1 + 14 = 28

b) Given that three revolution = 6×π, we have;

At t = 0

cos(720(t-10) = cos(720(0-10))  = cos(7200) = 1

Therefore, for three revolutions, we have

720(t - 10) = 720t - 7200

b = 720

The period = 2π/b = 6·π/720 = 0.0262 seconds

c) The minimum height of the nail is given by the height of the wheel at t = 0, as follows;

f(x) = -14×cos(720(t - 10)) + 14

At t = 0 gives;

f(x) = -14×cos(720(0 - 10)) + 14

Minimum height of the nail = -14×cos(-7200) + 14 = -14×0.863+14 =1.923

Minimum height of the nail = 1.923

The probability of getting exactly 2 tails in 7 flips of a coin with a probability of tails being 3/4 is 189/16384 or approximately 0.0115.

We can use the binomial distribution formula to solve this problem. Let X be the number of tails that come up in 7 flips of the coin. Then X follows a binomial distribution with n = 7 and p = 3/4 (since the probability of tails is 3/4).

The probability of getting exactly 2 tails is given by:

P(X = 2) = (7 choose 2) * (3/4)^2 * (1/4)^5

= (21 * 9/16 * 1/1024)

= 189/16384

So the probability that George flips exactly 2 tails is 189/16384, or approximately 0.0115.

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Answer:

\((dimond):13/52=1/4\)

\((spade):13/52=1/4\)

\((\frac{1}{4} )(\frac{1}{4} )=\frac{1}{16} \hookleftarrow\)

OAmalOHopeO

Answer:

G-10

Step-by-step explanation:

because i dont have time to expalin

Answer:

(3,-4)

Step-by-step explanation:

Point (0,7) moves 2 left to -2, and 2 down to 5. So (5,-2) left 2 and down 2 gets (3,-4).. Right?

Answer:

Girl what is the answer

Step-by-step explanation: