Please answer soon. (35 Points)

Answer:30 will be 2 counselors

and 45 will have 3 counselors

Step-by-step explanation:

it adding by 15

Answer:

2.16

Step-by-step explanation:

if x is seconds on the graph and y is the distance then you just look for what is y in the coordinate (6, _ ), in which the line on the graph shows it is 13

hope this helps!!

edit:

it seems i was incorrect, ahh im sorry

so you do have to divide the answer in the end, so 13/6 which is equaled to 2.16

Answer:

  8.3 ft

Step-by-step explanation:

You want the height of the top of a 13 ft ladder whose base is 10 ft from the side of a house.

The ladder represents the hypotenuse of a right triangle with legs of 10 ft and the height up the side of the house.

  a² +b² = c² . . . . . . . . Pythagorean relation

  a² +10² = 13² . . . . . . . known values filled in

  a² = 169 -100 = 69 . . . . subtract 10²

  a = √69 ≈ 8.3 . . . . . . . . . . . take the square root

The top of the ladder is about 8.3 feet from the ground.

Answer:

Below in bold.

Step-by-step explanation:

a = 16, b = 19 and c = 14.

By the Cosine Rule:

cos A = (a^2 - b^2 - c^2) / -2bc, so:

cos A  = ( 16^2  - 19^2 - 14^2) / (-2*19*14)

             =   -301 / - 532

             =  0.565789

m < A = 55.54 degrees.

Now Using the Sine Rule:

a / sin A = b / sin B

16 / sin 55.54 = 19/sin B

sin B = 19 * sin 55.54 / 16

         = 15.666 / 16

         = 0.979125

m < B = 78.27 degrees.

Finally

m < C = 180 - 55.54 - 78.27 = 46.19 degrees.

Answer:

\(\frac{30x+30}{x+7}\) is the simplified radical expression.

Step-by-step explanation:

For this one, we have fractions in the bottom of a fraction (denominator).

So, we would multiply by \(\frac{1}{x+1}\).

\(\frac{5x+5}{\frac{1}{6}x+\frac{7}{6} }\)

Then Multiply by 6.

\(\frac{30x+30}{x+7}\) is the simplified radical expression.

Using the formula for the volume of a rectangular prism, it is found that it would hold 1110 feet of shipped goods when it’s half full.

The volume of a rectangular prism with length l, width w and height h is given by:

\(V = lwh\)

In this problem, considering that 12 inches represent a feet, we have that:

Considering it would be half full, the volume is multiplied by 0.5, then:

\(V = 0.5(30)(8)(9.25) = 1110\)

It would hold 1110 feet of shipped goods when it’s half full.

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Answer:

8

Step-by-step explanation:

Answer:

a= m<SQR

Step-by-step explanation:

Answer:

In mathematics, we say that two objects are similar if they have the same shape, but not necessarily the same size If the objects also have the same size, they are congruent

Brilliant.org

Step-by-step explanation: When triangles are congruent they are the same shape as well as the same size. When triangles are similar it means they look alike but might not neccesarily have the same shape or size.

To find the probability that the mean years of education for a sample of 35 people is at least 12 years, we need to use the Central Limit Theorem (CLT) and the properties of the normal distribution.

Given:

- Mean (μ) of the population = 13.2 years

- Standard deviation (σ) of the population = 2.96 years

- Sample size (n) = 35

Using the CLT, we know that for a sufficiently large sample size (n ≥ 30), the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

To calculate the probability, we need to standardize the sample mean using the z-score formula and then find the corresponding area under the standard normal curve.

Step 1: Calculate the standard error of the mean (SE):

SE = σ / √n

SE = 2.96 / √35

SE ≈ 0.5013

Step 2: Calculate the z-score for the given mean of 12 years:

z = (x - μ) / SE

z = (12 - 13.2) / 0.5013

z ≈ -2.395

Step 3: Find the area under the standard normal curve for z ≥ -2.395:

P(z ≥ -2.395) can be obtained using a standard normal distribution table or a calculator. The corresponding area is approximately 0.9911.

Therefore, the probability that the mean years of education for a sample of 35 people is at least 12 years is approximately 0.9911, or 99.11%.

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Answer:

d

Step-by-step explanation:

because if you find out the original of the map then divide it it will become the scale of the original

Answer:

Answer is B 56,000

Step-by-step explanation:

I did the math, 280 divided by 7 is 40, 5 times 40 is 200 and 280 times 200 is 56,000.

Answer:

7.50h+0.75s        63.75       30

Step-by-step explanation:

7.50 x how many hours + 0.75 x how many sunglasses he sold

7.50 x 6 + 0.75 x 25= 63.75

7.50x8= 60    0.75x40=30               60+30=90

Based on the graph, the domain of the relation include the following: B. {−4, −2, 0, 3, 5}.

In Mathematics, a domain is the set of all real numbers for which a particular function is defined.

Additionally, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.

By critically observing the graph, we can reasonably and logically deduce the following domain:

Domain = {−4, −2, 0, 3, 5}.

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The amount of money that the person will have for a new bike by summer is $240.

From the information, the person opens a savings account and make a pact to deposit $30 a month. The person also has 8 months.

In this case, the total amount that will be in the account will be:

= Amount saved each month × Number of months

= $30 × 8

= $240

The person has $240.

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The emphasis is on the Counting and Cardinality standard in the early childhood years according to the National Council of Teachers of Mathematics.

The National Council of Teachers of Mathematics emphasizes the following standards in the early childhood years:

- Counting and Cardinality

- Operations and Algebraic Thinking

- Number and Operations in Base Ten

- Measurement and Data

- Geometry

The National Council of Teachers of Mathematics recognizes that all five math standards are important in the early childhood years. However, they place a particular emphasis on the standards related to counting and cardinality. This includes developing skills in counting, understanding numbers, and recognizing numerical relationships.

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Answer:

I believe your favorite subject maybe Science and World geography

Step-by-step explanation:

I am not sure : )

Step-by-step explanation:

the formular we're to use is the point slope formula

SLOPE = -3

and x1= -5 y1 = -6

HENCE

Y - Y1 = M (X- X1)

y-(-6) = -3( x--5)

y+ 6 = -3 (x+5 )

y+6 = -3x -15

y= -3x-15-6

y= -3x -21

Based on the given information, it is not possible to determine the p-value, decision to reject (rh0) or failure to reject (frh0) without additional data or context.

To assess whether the relaxation exercise slowed brain waves, a statistical analysis should be conducted on a sample from the population.

The analysis would involve measuring brain waves before and after the exercise and comparing the results using appropriate statistical tests such as a t-test or ANOVA. The p-value would indicate the probability of observing the data if there was no effect, and the decision to reject or fail to reject the null hypothesis would depend on the predetermined significance level.

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Answer:

8912

Step-by-step explanation:

don't use awnser plz

For the given Problem, The correct option giving Rachel's height in inches is (D) 70.

A z-score, also called standard score, can be used to measure- how much an observation or data point deviates from the mean of the distribution. By Subtracting the mean of the given distribution from the observation and after that dividing it by the standard deviation will give us the z-score for given observations.

Given:

Mean height (μ) = 65 inches

Standard deviation (σ) = 2 inches

Percentile (P) = 99%

The Z-score, commonly known as the standard score, helps in quantifying how much a data point deviates from the mean. It can be computers as:

\(Z = (X - \mu) / \sigma\)

where X is the value of the data point.

We can rearrange the equation to solve for X:

\(X = Z * \sigma + \mu\)

We may use a regular normal distribution table or a Z-table to obtain the Z-score corresponding to the 99th percentile. The Z-score for the 99th percentile is roughly 2.33.

\(X = 2.33 * 2 + 65\\\\X = 4.66 + 65\\\\X = 69.66\\\\{X}\;\approx70\; inches\)

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The expression for the length of the sail is x = 7( tan 50° ).

According to the given question.

The sail of a boat is in the shape of a right triangle.

And, the sail of a boat is a right triangle with an acute angle at the tip equal to 50 degrees and the side of the sail which is the hypotenuse to the right triangle is 7 meters long.

Now, the side that measures 7 meters would be the adjacent because its right next to the angle and its not the hypotenuse because its not the largest side

And, the side which we do not know the length to will be the opposite side because it is opposite from where the angle is.  

So, we have the the measure of the adjacent side and the angle of the tip. And we have to find the expression for the length of the sail.

Let the length of the sail be x meters.

Now, in the given right angled triangle

We can say that

tan A = Opposite side/Adjacent side

⇒ tan 50° = x/7

⇒ x = 7( tan 50° )

Hence, the expression for the length of the sail is x = 7( tan 50° ).

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Answer:

1

Step-by-step explanation:

5-4 = 1

4.5-4 = 0.5

2.5-4 = -1.5 but use absolute value which is +1.5

add all three values together:

1 + 0.5 + 1.5 = 3

3÷3 = 1

Answer:

100 degrees

Step-by-step explanation:

Answer:

Where is the graph of this question?

A random variable (denoted as X) is a numerical measure of the outcome of a probability experiment, where the value is determined by chance.

Yes, a random variable is a numerical measure of the outcome to a probability experiment, and its value is determined by chance. Random variables are used to represent the possible outcomes of an experiment and can be discrete or continuous. They are typically denoted using capital letters such as X.

The probability of a random variable taking on a certain value can be calculated using probability theory and statistical methods. In this context, "measure" refers to the quantification of an outcome, "probability" indicates the likelihood of that outcome occurring, and "experiment" represents the process through which the outcome is observed.

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The line integral is 2π/3 (in appropriate units).

a) The curve C is formed by the union of C1 and C2, as shown below:

          C2: z >= 0, y = 0, x^2 + z^2 = 1

            ______________

           /              /

          /              /

         /              /

        /______________/

 C1: z = 0, y >= 0, x^2 + y^2 = 1

We choose the orientation of C to be counterclockwise when viewed from the positive z-axis, as indicated by the arrows in the picture.

b) To apply Stokes's theorem, we need to compute the curl of F:

curl F = (∂Q/∂y - ∂P/∂z, ∂R/∂z - ∂Q/∂x, ∂P/∂x - ∂R/∂y)

= (-4x - 6y, -2, 2 - 2y)

Using the orientation of C we chose, the normal vector to C is (0, 0, 1) on C1 and (0, 1, 0) on C2. Therefore, by Stokes's theorem,

∫∫S curl F · dS = ∫C F · dr

where S is the surface bounded by C, which consists of the top half of the unit sphere. We can use spherical coordinates to parametrize S:

x = sin θ cos φ, y = sin θ sin φ, z = cos θ

where 0 ≤ θ ≤ π/2 and 0 ≤ φ ≤ π. We have

∂(x,y,z)/∂(θ,φ) = (cos θ cos φ, cos θ sin φ, -sin θ)

and

curl F · (∂(x,y,z)/∂(θ,φ)) = (-4 sin θ cos φ - 6 sin θ sin φ, -2 cos θ, 2 cos θ - 2 sin θ sin φ)

The surface element is

dS = ||∂(x,y,z)/∂(θ,φ)|| dθ dφ = cos θ dθ dφ

Therefore, the line integral becomes

∫C F · dr = ∫∫S curl F · dS

= ∫0π/2 ∫0π (-4 sin θ cos φ - 6 sin θ sin φ, -2 cos θ, 2 cos θ - 2 sin θ sin φ) · (cos θ, cos θ, -sin θ) dθ dφ

= ∫0π/2 ∫0π (2 cos2 θ - 2 sin2 θ sin φ) dθ dφ

= ∫0π/2 2π (cos2 θ - sin2 θ) dθ

= 2π/3

Therefore, the line integral is 2π/3 (in appropriate units).

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Answer:

1/4

Step-by-step explanation:

Answer:

7/32

(btw thats the simplified version....look at the bottom for non-simplified if you didnt need it simplified)

Step-by-step explanation:

first count how many squares there are in total

its 8 by 8 so in total there are 64!

now there is the green triangle.....

count all the whole squares in it = 10

now count all the half squares (little triangles in it)= 8

Now if you put those little triangles together it would make one small unit square so it is 4 of all

10 + 4 = 14

So there is a Total of 14 unit squares in the green triangle

Fraction Time......

now lets take 14/64 and simplify it

that would be 7/32

We cant make it any more simplified now if you werent looking for the simplified version the your answser would be 14/64

Answer:

Step-by-step explanation:

It is not a function

The 4 in the domain is used more than once

The probability that a test taker chosen at random takes 9 minutes or more to read the article is 0.38. Rounded to four decimal places, this is 0.3800.

To find the probability that a test taker chosen at random takes 9 minutes or more to read the article, we need to calculate the integral of the probability density function f(t) from 9 to 10 (since t is between 0 and 10).
∫(9 to 10) 0.012t^2 − 0.0012t^3 dt
Using the power rule of integration, we get:
[0.004t^3 - 0.0003t^4] from 9 to 10
Substituting the limits, we get:
[0.004(10)^3 - 0.0003(10)^4] - [0.004(9)^3 - 0.0003(9)^4]
Simplifying, we get:
0.38

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