(a) A company that makes crayons is trying to decide which colors to include in a promotional mini-box of crayons. The company can choose the mini-box colors from its collection of colors. How many mini-boxes are possible?

So,the value of the 30th percentile of the given data will be =P30=4

The cumulative distribution function of a real-valued random variable X, or simply the distribution function of X, assessed at x, is the likelihood that X will have a value less than or equal to x in probability theory and statistics.

Using the Cumulative Distribution Function to Calculate Probabilities

F(x) is a cumulative distribution function that calculates the likelihood that the random variable X is smaller than or equal to x:

To get the cumulative probability that X is less than or equal to 1, multiply P(X=0) by P(X = 0) by (P=1):

First, we will determine the value of the cumulative probability P(X<=x):

x         f(x)       P(X<=x)

1       0.02          0.02

2       0.01          0.03

3       0.2          0.23

4       0.17           0.4

5       0.39           0.79

6       0.2           0.99

7 0.01 1

30th percentile will be the x value,

below which less than or equal to 30% of the data falls.

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Answer: 30

Step-by-step explanation: just divide 300 by 10

The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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The number 2/5 is both a ratio and a fraction.

The number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.

The expression is also a ratio because it indicates the quantitative relationship between the figures.

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The domain of the function g(x) is x >= 5

The complete question is added as an attachment

From the graph, we have the smallest value of x to be 5.

And the value of x increases to the right

This means that:

x >= 5

Hence, the domain of the function g(x) is x >= 5

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Answer:

14

Step-by-step explanation:

Answer:

the answer is (-4,-18)

Answer:

The vertex is at (-4, -18).

Step-by-step explanation:

f(x) = x^2 + 8x - 2

Covert to vertex form:

f(x) = (x + 4)^2 - 16 - 2

f(x) = (x + 4)^2 - 18.

So the

vertex is (-4,18

Answer:

A≈78.54

Step-by-step explanation:

Answer:

78.5

Step-by-step explanation:

because i said so

Answer:

To rotate a point 90 degrees clockwise about another point, you can follow these steps:

1. Subtract the coordinates of the center of rotation from the coordinates of the point you want to rotate to translate the center of rotation to the origin.

A translated point A would be: (5 - 0, 4 - 1) = (5, 3)

2. Perform the rotation by swapping the x and y coordinates and negating the new x-coordinate.

The rotated point A' would be: (3, -5)

3. Add the coordinates of the original center of rotation to the rotated coordinates to translate the origin back to the center of rotation.

The final coordinates of point A' would be: (3 + 0, -5 + 1) = (3, -4)

Answer:

it's a

Step-by-step explanation:

He lost 50 lbs over a 5 moth period

Answer:

5:2

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

15:6 or 5:2

Step-by-step explanation:

The number of dogs and cats can be simplified by dividing the two values by 3.

Answer:

8 pigs

Step-by-step explanation:

Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.

Suppose all animals are chickens.

Total no. of feet = 26 chickens × 2 feet

                           = 52 feet

Difference in total no. of feet = 68 feet - 52 feet

                                                = 16 feet

Difference in no. of feet each animal has

= 4 feet (a pig) - 2 feet (a chicken)

= 2 feet

∴ No. of pigs = 16 feet ÷ 2 feet

                      = 8 pigs

Answer:

1.57ft

Step-by-step explanation:

The circumference is twice the radius times pi.

C=2πr

C=2·π·5

C=10π

C=31.4159265359

We know that KL is 18° of that (180-162).

So we get the formula

31.4159265359÷360x18=1.57

Answer:

24x

Step-by-step explanation:

Multiply  − 6  by  − 4 .

Answer:

24

Step-by-step explanation:

you multiply negative 4 by negative 6

Answer:

  a) 7 m

  b) 22 cm

Step-by-step explanation:

Given plans at a scale of 1 : 50, you want (a) the actual length corresponding to a plan length of 14 cm, and (b) the plan length corresponding to an actual length of 11 m.

The actual lengths are wanted in meters, so we can rewrite the scale to translate between plan cm and actual m.

  plan : actual = 1 cm : 50 cm

  = 1 cm : 0.5 m

  = 2 cm : 1 m

Multiplying the scale by 7, we have ...

  2 cm : 1 m = 14 cm : 7 m

The actual length is 7 meters.

Multiplying the scale by 11, we have ...

  2 cm : 1 m = 22 cm : 11 m

The plan length is 22 cm.

The total number of coins is 35

From the question, we have the following parameters that can be used in our computation:

Number of coins in the box = 7

Proportion of coins in the box = 20%

These parameters mean that

Number of coins in the box = Proportion of coins in the box * Total number of coins

Substitute the known values in the above equation, so, we have the following representation

7 = 20% * Total number of coins

Divide both sides by 18%

Total number of coins = 35

Hence, the total number of coins is 35

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Using the concept of binomial probability, the probability of making exactly 11 throws is \(6.073 \times 10^{-15} \)

Recall :

The probability of making exactly 11 throws can be defined thus :

Using a binomial probability calculator :

P(X = 11) = \(6.073 \times 10^{-15} \)

Therefore, the probability is \(6.073 \times 10^{-15} \)

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Answer:

Step-by-step explanation:

true

if angle BCA is 90° and angle EFD is 90°

and if C to A is 14, half of that is 7 which is what F to D is

Answer:

y-intercept:  (0, -2)

Step-by-step explanation:

Determine by how much x (the run) and y (the rise) change as you go from (-4, -6) to (3, 1):  The change in x is 7 and that in y is also 7.  Thus, the slope is

m = 7/7, or m = 1.

Using the point-slope form and the point (3, 1), we get:

y - 1 = 1(x - 3), or y = 1 + x - 3, or y = x - 2

Comparing this to y = mx + b, we see that the y-intercept is -2.

Answer:

Area = 104

Step-by-step explanation:

The equation to find the area of a triangle is A = 1/2 BH

so if we plug in to numbers into the equation we get

A = 1/2 13*16 no we can multi plier 13*16 and we get 208

and last we can multiply 1/2 to 208 and our final answer is 104

High Hopes^^

Barry-

Answer:

C. x is y less than z

Step-by-step explanation:

x+y=z

by using transposition

x = z-y

whatever x is, it is equal to the value of y taken from z

Using the probability of adults of having tattoo, critical value is 1.76 and margin of error is 0.0353 and a 95% confidence interval for the proportion of all adults that have a tattoo is (0.2347, 0.3053)

In the given question,

In a poll of 489 adults, 132 of then said they have a tattoo.

We have to find critical value and margin of error, and then construct a 95% confidence interval for the proportion of all adults that have a tattoo.

From the question

Total number of adults = 489

The adults that have tattoo = 132

So the proportion in the sample is

p = 132/489

p = 0.269

p ≈ 0.27

Now finding the proportion of adults not having tattoo.

q = 1−p

q = 1−0.27

q = 0.73

Now finding the critical value(z).

The value of z from the standard table for 95% confidence interval.

We can write 95% as 0.95

Z = \(z_{\alpha /2}\)

Z = \(z_{0.95 /2}\)

Z = \(z_{0.475}\)

From the standard table of z

Z = 1.96.

Now finding the margin error.

Margin Error(E) = \(Z\times\sqrt{\frac{pq}{n}}\)

As we know that Z = 1.96, p = 0.27, q = 0.73, n = 489

Now putting the value

E = \(1.76\times\sqrt{\frac{0.27\times0.73}{489}}\)

Simplifying

E = \(1.76\times\sqrt{\frac{0.1971}{489}}\)

E = \(1.76\times\sqrt{0.000403}\)

E = 1.76×0.0201

E = 0.0353

Now finding a 95% confidence interval for the proportion of all adults that have a tattoo.

Confidence Interval = p−E< P < p+E

Confidence Interval = 0.27−0.0353< P < 0.27+0.0353

Confidence Interval = 0.2347< P < 0.3053

Hence, critical value is 1.76 and margin of error is 0.0353 and a 95% confidence interval for the proportion of all adults that have a tattoo is (0.2347, 0.3053)

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Answer:

The probability of getting a 2, 4, or 6 when a dice is rolled is 1/2, or 50%. This is because there are six possible outcomes when a dice is rolled, and three of them are favorable outcomes (2, 4, or 6). Therefore, the probability of getting a 2, 4, or 6 is 3/6, which simplifies to 1/2 or 50%.

The value of the quadratic equation given as x^2 = 25 is 5

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

The quadratic equation is given as

x2 = 25

Rewrite the equation properly

So, we have

x^2 = 25

Take the square roots of both sides

x = 5

Hence, the solution of the equation is 5

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Answer:

According to the picture you have AD AND BC

Step-by-step explanation:

Answer: 21

Step-by-step explanation:  im not guessing im a certified expert at calculus and have a masters degree in mathmatics so yeah

Answer:

21

Step-by-step explanation:

I did the test

Hope this helps :)

Step-by-step explanation:

please attach a picture for us to see the choices

Answer:

276 square inches

Step-by-step explanation:

The area can be decomposed as a square of side length 14 in, having a surface of area of \(14^2 = 196 in^2\), and a triangle of base 14 and height 12, giving an area of \(\frac12\times 12\times14 =84 in^2\). Added them together we get a grand total of \(196+84=280 in^2\)

Answer:

280 in²

Step-by-step explanation:

This is a composite figure composed of a triangle and a square. Let's find the area of each and add them up.

The area of the square is 196 square inches. The area of the triangle is 84 square inches. Add those two together, and you have 280 square inches.

Answer: 42/9

Step-by-step explanation: 7/9 x 6/1 = 42/9

Answer:

The answer is 4.66666666667

Step-by-step explanation: