Which values are solutions to 90 < –30p + 15? Check all that apply. p = –10 p = 0 p = –2.5 p = 3 p = –5 p = 7.6

Step-by-step explanation:

Can you please attach the picture of the prism.

Answer: A=2x²+18x+30

Step-by-step explanation:

To find the area, we multiply the length and the width. We can do that with the picture provided.

A=(5+x)(6+2x)                    [use FOIL method to distribute/multiply]

A=30+10x+6x+2x²             [combine like terms]

A=30+18x+2x²

Answer:

First Option

Step-by-step explanation:

When we graph the expression, we should see that an infinite amount of y-values work. Since the domain comprises of all working x-values, we have (negative infinity, positive infinity) or all real numbers as our range, since we have an infinite amount of y-value outputs.

Answer:

a. [tex] \\ \mu = 0[/tex] and [tex] \\ \sigma = 1[/tex]

b. A bell-shaped curve (see the below graph).

c. [tex] \\ P(Z<1.2) = 0.88493[/tex]

d. [tex] \\ P(Z<-1.64) = 0.05050[/tex]

e. [tex] \\ P(Z>-1.39) = 0.91774[/tex]

f. [tex] \\ P(-0.45< Z <1.96) = 0.64864[/tex]

g. [tex] \\ P(Z<1.015 = 0.845)[/tex], c = 1.015.

h. [tex] \\ P(Z>-1.015 = 0.845)[/tex], c = -1.015.

i. [tex] \\ P(-1.422 < Z < 1.422) = 0.845[/tex]

Step-by-step explanation:

Z is a random variable and is a standardized value or a z-score. The formula for it is as follows:

[tex] \\ Z = \frac{X - \mu}{\sigma}[/tex] [1] (represented as a random variable)

[tex] \\ z = \frac{x - \mu}{\sigma}[/tex]  [2] (represented as realizations of the random variables or values taken by the random variable Z.)

Where

Z follows a standard normal distribution (see formula [3]), which is a normal or Gaussian distribution with [tex] \\ \mu = 0[/tex] and [tex] \\ \sigma = 1[/tex]. It is symmetrical at

[tex] \\ Z \sim N(0,1)[/tex] [3]  

Finding probabilities using the standard normal table

We can use the standard normal distribution to find all probabilities related to Z, and there exists the standard normal table, available in any Statistics books or on the Internet.

We need to consult the standard normal table, use the first two values for Z, that is, in the case of 1.64, we use 1.6 as an entry. We find this value in its first column, and then, using the first row of the table, we localize the remaining 0.04. The intersection of these two values "gives us" the cumulative probability from [tex] \\ -\infty[/tex] to the value z = 1.64.

Notice that negative values for z-scores are below the mean, whereas positive values represent z-scores above [tex] \\ \mu[/tex].

Answering the questions

a. What is the mean and standard deviation for Z?

As we discuss before, the mean and the standard deviation are, respectively, [tex] \\ \mu = 0[/tex] and [tex] \\ \sigma = 1[/tex].

b. Sketch the distribution.

We can sketch it as a normal or Gaussian distribution, that is, a bell-shaped curve, symmetrical at [tex] \\ \mu =0[/tex], with most values near the mean and less at each end of the distribution. See the below graph.

c. Find P(Z <1.2)

Following the explained procedure above, we can obtain the cumulative probability for [tex] \\ P(Z<1.2)[/tex]:

In the first column, we localize z = 1.2. At the first row, we localize the value 0.00 (since z = 1.2 = 1.20). Notice that this value is above the mean (positive).

Then, the asked probability is [tex] \\ P(Z<1.2) = 0.88493[/tex].

d. Find P(Z < −1.64)

The values less than z = -1.64 are below the mean, and we have for the first column z = -1.6 and for the first row -0.04. Then

[tex] \\ P(Z<-1.64) = 0.05050[/tex]

e. Find P(Z > −1.39)

In this case, we need to recall that

[tex] \\ P(Z<a) + P(Z>a) = 1[/tex]

For any positive or negative value of a. Then

[tex] \\ P(Z<-1.39) + P(Z>-1.39) = 1[/tex]

Thus

[tex] \\ P(Z>-1.39) = 1 - P(Z<-1.39)[/tex]

[tex] \\ P(Z>-1.39) = 1 - 0.08226[/tex]

[tex] \\ P(Z>-1.39) = 0.91774[/tex]

f. Find P(−0.45 < Z <1.96)

In this case, we need to find [tex] \\ P(Z<1.96) - P(Z<-0.45)[/tex]. Then

[tex] \\ P(Z<1.96) = 0.97500[/tex]

[tex] \\ P(Z<-0.45) = 0.32636[/tex]

Therefore

[tex] \\ 0.97500 - 0.32636[/tex]

[tex] \\ 0.64864[/tex]

Then, [tex] \\ P(-0.45< Z <1.96) = 0.64864[/tex].

g. Find c such that P(Z < c) = 0.845

In this case, find the cumulative probability, 0.845, and the corresponding value for z.

This value is between z-scores (z = 1.01 and z = 1.02). The standard normal table cannot give us values for z with more than two decimal digits for z. We can overcome this using interpolation or technology, and this value will have a third digit for z. This value is approximately:

[tex] \\ P(Z<1.015 = 0.845)[/tex], c = 1.015.

h. Find c such that P(Z > c) = 0.845

Because of the symmetry of the normal distribution:

[tex] \\ P(z<-a) = P(z>a)[/tex] or

[tex] \\ P(z>-a) = P(z<a)[/tex]

From the previous result (part g):

[tex] \\ P(Z<1.015 = 0.845)[/tex]

Then

[tex] \\ P(Z>-1.015 = 0.845)[/tex], c = -1.015.

i. Find c such that P(−c < Z < c) = 0.845

We can overcome using the symmetry of the normal distribution again, and we know that 0.845 is a value between -c and c. At both extremes of the distribution we have symmetrically the following probabilities:

[tex] \\ \frac{1 - 0.845}{2}[/tex]

[tex] \\ \frac{0.155}{2}[/tex]

[tex] \\ 0.07750[/tex]

Then, we use

[tex] \\ P(z<-a) = P(z>a)[/tex]

[tex] \\ P(z<-1.42) = P(z>1.42)[/tex]

Then, approximately, c = 1.42 and -c = -1.42 or [tex] \\ P(-1.42 < Z < 1.42) = 0.845[/tex]. Using linear interpolation or technology, we can have a value of c = 1.422 and -c = -1.422.  

Answer:

5.36

Step-by-step explanation:

Given that:

<BAD = <CAE, therefore, BD = EC

Let's take x to be the length of BD = EC

BD + DE + EC = BC

BC = 20,

BD = EC = x

DE ≈ 9.28

Thus,

x + 9.28 + x = 20

x + x + 9.28 = 20

2x + 9.28 = 20

Subtract 9.28 from both sides

2x + 9.28 - 9.28 = 20 - 9.28

2x = 10.72

Divided both sides by 2 to solve for x

[tex] \frac{2x}{2} = \frac{10.72}{2} [/tex]

[tex] x = \frac{10.72}{2} [/tex]

[tex] x = 5.36 [/tex]

BD ≈ 5.36

Answer: B. Similar - AA

Step-by-step explanation:

The AA or Angle-Angle postulate states that if two corresponding angles are congruent, then the triangles are congruent.

Answer:

1. 5 3/4 - 2 1/4 = 3 1/12          2. 7 2/3 + 2 1/5 = 9 13/15

Step-by-step explanation:

1. 5 3/4 - 2 1/4

subtract the numbers on the side 5-2=3

subtract the fraction 3/4-1/4=2/4

reduce 2/4=1/2

add them together 3+1/2=3 1/2

2. 7 2/3 + 2 1/5

subtract the numbers on the side 7+2=9

find LCD of 2/3 and 1/5=

10/15+3/15=13/15

add them together 9+13/15=9 13/15

Answer:   [tex]a)\ 3\dfrac{1}{2}[/tex]

                [tex]b)\ 9\dfrac{13}{15}[/tex]

Step-by-step explanation:

a)

[tex].\quad 5\dfrac{3}{4}\\-\\.\quad\underline{ 2\dfrac{1}{4}}\\\\.\quad 3\dfrac{2}{4}\div\dfrac{2}{2}\quad =\quad \large\boxed{3\dfrac{1}{2}}[/tex]

b)

[tex].\quad 7\dfrac{2}{3}\times \dfrac{5}{5}=7\dfrac{10}{15}\\+\\.\quad 2\dfrac{1}{5}\times \dfrac{3}{3}=\underline{2\dfrac{3}{15}}\\\\.\qquad \qquad \quad \ \large\boxed{9\dfrac{13}{15}}[/tex]

Answer:

D = 0

Step-by-step explanation:

Given

x-intercept = -3

Required

What does the discriminant represent?

The discriminant of a quadratic function can take any 3 values; these are as follows;

Which translates to

The question says that x-intercept = -3 is the only value;

This means that: x = -3 or x = -3

Analyzing the roots

This means they satisfy condition number 3;

Hence, D = 0

Answer:

5(4) + 5(8)

Step-by-step explanation:

Answer:

m^2+m+1

Step-by-step explanation:

HCF= m^2+m+1 which is the factor of all three polynomials

Answer:

65

Step-by-step explanation:

Answer:

1 1/3 statues so only 1 whole statue.

Step-by-step explanation:

This would be 2/3 divided by 1/2

= 2/3 * 2

= 4/3 or 1 1/3 statues.

Answer:

Step-by-step explanation:

The student have 2/3 liter remaining and want to paint more statues khowing that each one require 1/2 liter .

this way :

                        = 4/3

Answer:

B.

Step-by-step explanation:

When written as proportions, the ratios of oranges to cups of juice are always equal.

Answer:

Simply by using a protractor.

Step-by-step explanation:

Place the center of the protractor on the origin of the angle. The distance between the two lines is the angle in degrees. Read it on the protractor. You can also do basic arithmetics if other angles are given. For instance 180 degrees- 30 degrees = 150 degrees.

Hope it helped pls mark as brainliest.

Answer: Vertical line x = 1

Step-by-step explanation:

(1, 1) (1, 2) (1, 3) (1, 4)

Notice that the x-value for each coordinate is 1.

The line is a vertical line (up & down) through x = 1

Answer:

it's not an up and down line, the graph is a group dots (4 ones) that they are located on a vertical line

Answer:

5

Step-by-step explanation:

6 - (-4) - 5 =

= 6 + 4 - 5

= 10 - 5

= 5

Answer:

Slope =  [tex]\frac{-3}{4}[/tex]

Step-by-step explanation:

(5 , -2)   ; (-3, 4)

[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{4-[-2]}{-3-5}\\\\=\frac{4+2}{-3-5}\\\\=\frac{6}{-8}\\\\=\frac{-3}{4}\\\\[/tex]

Answer:

1 / (x² + 6x + 8)

Step-by-step explanation:

(x + 4) / (x² + 5x + 6) * (x + 3) / (x² - 16)

= (x + 4) / (x + 2)(x + 3) * (x + 3) / (x + 4)(x - 4)

               ↑ factor x² + 5x + 6    ↑ factor x² - 16 using difference of squares

= 1 / (x + 2) * 1 / (x - 4)    ← x + 4 and x + 3 cancel

= 1 / (x + 2) * (x + 4) ← multiply

= 1 / (x² + 6x + 8) ← expand

Answer:

CI = 28 ± 3.09

Step-by-step explanation:

The sample size, n = 25

The sample mean, m = 28

Standard deviation, s = 7.5

Confidence interval is given as:

CI = Sample mean ± margin of error

We want to find 95% confidence level:

First, let us find the margin of error:

Margin of error = Critical value * standard error

To find the critical value, we need some parameters:

Standard error = [tex]s / \sqrt{n}[/tex]

=> [tex]SE = 7.5 / \sqrt{25}= 7.5 = 5 = 1.5[/tex]

The alpha value, ∝ = 1 - (confidence level / 100) = 1 - 95/100 = 1 - 0.95 = 0.05

Critical probability, p, is given as:

p = 1 - ∝/2 = 1 - 0.05/2 = 1 - 0.025 = 0.975

Now we need the degree of freedom:

df = n - 1 = 25 - 1 = 24

Therefore, the critical value is 2.06 (you can use an online t value calculator).

=> Margin of error = 2.06 * 1.5 = 3.09

Therefore, the confidence interval for the population mean is:

CI = 28 ± 3.09

Answer:

0.

Step-by-step explanation:

Fair dice are dice that have 6 sides, and the probability of rolling a side is the same as rolling another.

Since each die has 6 sides, the most you can get from the two dice are 6 + 6 = 12. Therefore, getting a 13 is impossible. So, there is a probability of 0.

Hope this helps!

Answer:  300 in3

Step-by-step explanation: To find the volume you multiply the base area by the height. 30 x 10 = 300. Did this for my exam and got the question correct.

The volume of the prototype is 300in^3.

Since The designer uses octagons with a base area of 30 in2 and rectangles with a length of 10 in to create a prototype for the new package.

So here the volume is

= 30(10)

= 300

Therefore, The volume of the prototype is 300in^3.

Learn more about volume here: https://brainly.com/question/17481620

Answer:

7∠82°

Step-by-step explanation:

Well angle 6 and 7 are complementary angles, meaning they both add up to 180°.

So we do 180 - 98 which is 82°.

Answer: The measure of angle 7 is 82 degrees.

Step-by-step explanation:

Angle  6 and 7  lies on a straight line so they will add up to 180 degrees.

So if Angle 6 is 98 degrees then an a number plus 98 has to equal 180.

so we could generate an equation as x + 98 = 180  

x + 98 = 180 solve for x

 -98      -98

x= 82  

Answer:

A.quadratic

Step-by-step explanation:

3x+x^2+4

Put in order from largest to smallest power of x

x^2 +3x+4

The highest power is 2

A.quadratic   highest power 2

B. quartic   highest power 4

C. linear  highest power 1

D. cubic highest power 3

Answer:

C.) (1/2, 4)

Step-by-step explanation:

The solution is where the two lines intersect

The lines intersect at x = .5 and y =4

Answer:

C.) (1/2, 4)

Step-by-step explanation:

Step-by-step explanation:

Since your question is incomplete, I have given you two different options based on your incomplete question.

Hope you understand this.

HAVE A GOOD DAY!

It will take her 49.15 seconds to knit the scarf.

Since in 2004, the world's fastest knitter was able to knit 225 stitches in 3 min, to determine how long would she take to knit a scarf that was 20 cm wide and 1.2 m long, if she used yarn that resulted in 1.6 stitches per centimeter, the following calculation must be performed:

Therefore, it will take her 49.15 seconds to knit the scarf.

Learn more about maths in https://brainly.com/question/9230316

Answer:

The measurement for x is 80°

Step-by-step explanation:

In the picture, we see two parallel lines cut by a transversal line. Since the lines are cut by a transversal, then there are a few things we should know that can help us find the value of x.

Now that we know these things, we can use this information to find the measurement of ∠CBA. We do this by subtracting 100 from 180 because ∠CBA and ∠CBD are a linear pair. Once we know the measurement of this angle, then it will be much easier to find the value of x.

180 - 100 = 80

So, the measurement of ∠CBA is 80°. Now, ∠CBA and ∠x are corresponding angles so this means that they have the same measurements. If the measurement of ∠CBA is 80°, then the measurement of ∠x is also 80°

x = 80°

Answer:

  18x +16y +4

Step-by-step explanation:

The area is the product of length and width, so the length is ...

  A = LW

  L = A/W = (72xy +18x)/(9x) = 8y +2

The perimeter is double the sum of length and width:

  P = 2(L +W) = 2(8y +2 +9x)

  P = 18x +16y +4 . . . . the perimeter of the sandbox

Answer:

[tex]x=\frac{139}{27}[/tex]

Step-by-step explanation:

-23(x+12)+23x=-54x+2

-23x-276+26x=-54+2

-276=-54x+2

54x=2+276

54x=278

[tex]x=\frac{139}{27}[/tex]

Answer:

Use mathaway <3

Step-by-step explanation: