The school needs to buy new computers for four classrooms. If the school needs 20 new computers in each classroom, how many computers does it need to buy in total? Explain

Answer:

1 1/3

Step-by-step explanation:

if ashley wants to make HALF of the batch you simply divided 2 2/3 by 2 :)

Answer:

1 1/3 cups

Step-by-step explanation:

If it takes 2 2/3 cups for a whole batch and Ashely only wants half a batch you would have to multiply 2 2/3 by 1/2.

2 2/3 x 1/2= 1 1/3

Answer:

[tex]\mathbf{E(X) = \dfrac{3}{4}}[/tex]

Step-by-step explanation:

From the given data, the cumulative distribution function of a random variable can be represented as:

[tex]F_X(t) =\left\{ \begin{array}{c}0........... t <-1 \\ \dfrac{1}{2} ... -1 \leq t < 1\\ \dfrac{1}{2} ....... 1 \leq t < 2 \\ 1 .............. t \geq 2\\\end{array}\right.[/tex]

The objective is to estimate E(X), to do that, let's first evaluate the probability density function by differentiating the cumulative distribution function from above.

[tex]f_X(x) =\left \{ {{\dfrac{1}{2} .......1 \leq x \leq 2 } \atop {0..... otherwise }} \right.[/tex]

∴

[tex]f_X(t) =\left\{ \begin{array}{c} \dfrac{d}{dx}(0)=0........... <-1 \\ \dfrac{d}{dx}(\dfrac{1}{2} ) =0... -1 \leq t < 1\\ \dfrac{d}{dx}(\dfrac{1}{2}x) = \dfrac{1}{2}....... 1 \leq x < 2 \\ \dfrac{d}{dx}(1) = 0 .............. x \geq 2\\\end{array}\right.[/tex]

The expected value of x i

.e E(X) can now be estimated by taking the integral:

[tex]E(X) = \int ^{\infty}_{\infty} x f(x) \ dx[/tex]

[tex]E(X) = \int ^{1}_{- \infty} x 0 dx + \int^2_1 \ x \dfrac{1}{2}\ dx + \int ^{\infty}_2 \ x0dx[/tex]

[tex]E(X) = \int ^{2}_{1} x \dfrac{1}{2} dx[/tex]

[tex]E(X) = \dfrac{1}{2}[\dfrac{x^2}{2}]^2_1[/tex]

[tex]E(X) = \dfrac{1}{2}[\dfrac{4}{2}-\dfrac{1}{2}][/tex]

[tex]E(X) = \dfrac{1}{2} \times [\dfrac{3}{2}][/tex]

[tex]\mathbf{E(X) = \dfrac{3}{4}}[/tex]

Answer:

11.5, 20, 28.5

Step-by-step explanation:

Given AP

5th term is 37, then common difference is;

Then the 2nd, 3rd and 4th terms:

Answer:

The member can tolerate a temperature of 173° Fahrenheit for 0 minutes.

Step-by-step explanation:

By finding the y-intercept, you can conclude that the member can tolerate a temperature of 173° Fahrenheit for 0 minutes.

Answer:

the answer is A.The member can tolerate a temperature of 173° Fahrenheit for 0 minutes.

Step-by-step explanation:

on edg 2020 :)

Answer: 98

Step-by-step explanation: 53+45 = 98 subtract that from 180 you get 82 which is the other corner. the other side of the line adds up to 180 with the 82

Answer:

Step-by-step explanation:

inside the triangle

a + 53 + 45 = 180

a + 98 = 180

a = 82

x + 82 = 180

x = 98

Answer:

A - 6

Step-by-step explanation:

The lines are parallel.

Theorem: If two parallel lines are cut by a transversal, then same side interior angles are supplementary.

The angles measuring 16x + 4 and 80 are supplementary, so thjeir measures add to 180.

16x + 4 + 80 = 180

16x + 84 = 180

16x = 96

x = 6

Answer:

Hey there!

Left 2 units: (7,-2)

Down 1 unit: (7, -3)

Final answer: (7, -3)

Let me know if this helps :)

Step-by-step explanation:

92007(1)1

since one is on the tens value, always jump to the next number.

It is greater than 5 add one to the next no.

= 9201000, The rest become zeros

Answer:

- This study is an example of Experimental study

- The survival time is the dependent variable.

- The type of diet is the independent variable.

Step-by-step explanation:

I) This research study is an experimental study because it makes use of a scientific approach using 2 variables which in this case are organic diet and survival time.

II) Survival time is the dependent variable because it depends on the response of the patients to the organic diet.

III) Type of diet is the independent variable because it doesn't depend on any other factor or variable.

Answer:

Domain = [0, 50]

Range   = [0, 3250]

Step-by-step explanation:

A function shows the relationship between two variables (independent variable and dependent variable). The independent variable is a variable not dependent on any variable, it is the input of the function while the dependent variable is a variable dependent on other variable, it is the output of the function.

The domain of a function is the set of all input variables (independent variable) and the range of a function is the set of all output variables (dependent variables).

In the function C(p) = 65p, p is the independent variable and C(p) is the dependent variable.

Since the hall can hold a total of 50 people, the domain of the function = [0, 50]

C(0) = 65(0) = 0, C(50) = 65(50) = 3250

Hence, the range of the function = [0, 3250]

Answer: Option ( C ) Average speed in the ocean

Step-by-step explanation: This is because continuous quantitative variable is a variable whose value is obtained by measuring. The average speed is measured.

The example of a continuous quantitative variable that might be reported about each cruise ship is the average speed in the ocean so option (C) will be correct.

The procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.

In another word, reasoning is a tricky but interesting problem in mathematics that required relations of variables to solve.

The quantitative variable is a variable whose value is measurable for example weight of any object.

In the given question the average speed in the ocean is only a variable and can be measured for each ship.

Hence"The example of a continuous quantitative variable that might be reported about each cruise ship is the average speed in the ocean".

For more about reasoning,

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Answer:

30  units ^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh

The base is on the left  b = 10  

The height is perpendicular to the base = 6

A = 1/2 * 10 * 6

  = 30  units ^2

Answer:

It would cost $90.66

Step-by-step explanation:

because 180 dived by 204 equals 1.13 then times that by 80 and there's your answer

n less than 7, is represented as this:

n>7

Step-by-step explanation:

You just need to think about what the question is, if it's less than, you use the > symbol to prove one variable is smaller than the other.

i hope this helps!

Answer:

[tex]\Huge \boxed{-n+7}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

n is the variable.

n less than 7 as an expression would be:

[tex]\Longrightarrow \ \ 7-n[/tex]

Rearranging terms:

[tex]\Longrightarrow \ \ -n+7[/tex]

[tex]\rule[225]{225}{2}[/tex]

ans : A

reason : gradient = 0 and the line does not touch Y axis

i hope this helps :))

The equation of line l if the line is shifted 4 units to the right is x = 4, so option A is correct.

A simple line in Euclidean geometry. A line, according to Euclid, is the distance between two points and can stretch forever in either direction. While Euclid's initial definition is now regarded as a line segment, such an extension in both directions is now thought of as a line.

Given:

The lines y and l are given in the graph,

The equation of the line y can be written as shown below,

y = x + c

x = c  (as the y coordinate of the y-axis is zero)

The equation of the line shifted 4 units to the right can be represented as

y = mx + c

Here, the slope is 1 and the intercept is -4 so,

x = 4

Thus, the line l is x = 4.

To know more about the line:

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Answer:

4 dozen

Step-by-step explanation:

4 cups flour = 12 cookies    [1 dozen=12]

1 cup of flour= 12/4 cookies

                    =3 cookies

now,

16 cups of flour= 3*16 cookies

                        =48 cookies

                         = 4 dozens          [48/12=4    dozen]

therefore, 4 dozen cookies can be made with 16 cups of flour

Answer: 144

Step-by-step explanation:

QR = QU - RU

QR = 24 -19 = 5

QR = RS = ST = 5

QR + RS + ST = 5 + 5 + 5 = 15

TU = 24-15 = 9

SU = 5 + 9 = 14

Answer:

30.6 ounces of water

Step-by-step explanation:

Since on bottle holds 5.1 ounces, in order to find the amount of water in 6, you must take 5.1 and multiply it by 6 which gives you your final answer of 30.6 ounces. Hope this helps!

Answer:

Can u add more context pls then I'll answer

Step-by-step explanation:

Answer:

(2,9)

Step-by-step explanation:

The only point that could be included is (2, 9), since any of the other three would preclude the relationship between x and y values from being a function. Notice that 3, 4, and 7 are already connected/associated with other values in the Range of the function.

Answer:

You have 14.8 grams of fat in total.

Step-by-step explanation:

6.8 + 8 = 14.8

Answer:

coordinates for the centroid is at (-3, -4)

Step-by-step explanation:

The centroid of a triangle is simply defined as the center point which is equidistant from the three vertices.

Let's denote the centroid as O. Thus, the coordinates of O will be: (O_x, O_y).

Now, the formula to calculate the centroid of a triangle with coordinates (O_x, O_y) is given by;

For x - coordinate;

O_x = (A_x + B_x + C_x)/3

For y - coordinate;

O_y = (A_y + B_y + C_y)/3

From the question,

A_x = 1

B_x = -10

C_x = 0

A_y = 0

B_y = -6

C_y = -6

Thus;

O_x = (1 - 10 + 0)/3

O_x = -9/3

O_x = -3

Also,

O_y = (0 - 6 - 6)/3

O_y = - 12/3

O_y = - 4

Thus, coordinates for the centroid is at (-3, -4)

Answer and Step-by-step explanation:

Let f(x) = x4 + x3 + x2 +x + 1 Є Z2[x]. Prove that f(x) is irreducible over Z2[x] or not?

Proof:-  

Let f(x) = x4 + x3 + x2+ x+1 Є Z2[X].  

Then f (0) = 1 = f(1), so f(x) has no roots,  By Factor theorem, which states that polynomial f(x) has a factor(x-a) if and only if f(a)=0.                                                                                                                                      Hence, f(x) has no linear factor.                                                                                                                                                 If f(x) is reducible, it must have factors of degree 2 and degree 3. But f(x) has no degree 2 factors.

We know that only irreducible quadratic in Z2[X] is x2  + x +1. When we divide f(x) by x2  + x +1 we get a remainder of 1, so x2  + x +1 is not a factor of f(x) therefore f(x) is irreducible.

Answer:

Because sin 0 and csc 0 establish a relationship where one is reciprocated to the other.

Step-by-step explanation:

Sin 0 is found according to the mathematical expression Sin 0 = y / r.

The csc 0, in turn, is found through the mathematical expression Csc 0 = 1 / sin 0, which is equivalent to y / r.

In both expressions the letter "r" will always be represented by a positive value. This makes Csc 0 and sin 0 have a strong reciprocity and assume the same sign, regardless of the number that represents the "Y". This is because if "y" has a positive value, both sin 0 and csc 0 will have a positive sign, if "Y" will take a negative value, both sin 0 and csc 0 will take negative signs.

Answer:

b≠0 means b is not equal to zero.

Hope I helped!

Best regards!

Answer:

The special symbol ≠ It is used to show that one value is not equal to another. a ≠ b says that a is not equal to b. Example: 4 ≠ 9 shows that 4 is not equal to 9.

Step-by-step explanation:

Answer:

Height after 9 weeks=19

Height after w weeks=1w+10

Step-by-step explanation:

Height after 9 weeks: 1(9)+10=19

Height after w weeks: 1w+10

Answer:

Null hypothesis:

[tex]\mathtt{H_o : \mu = 21.21}[/tex]

Alternative hypothesis

[tex]\mathtt{H_1 : \mu \geq 21.21}[/tex]

t = -0.080

Decision Rule: To  reject the null hypothesis if t > 1.340 at t

Since t = -0.080, this implies that t < 1.340 that means the t statistics value did not fall into the rejection region. Hence, we fail to reject the null hypothesis at the level of significance 0.10

Conclusion: We conclude that there is insufficient evidence to support the claim that the mean nickel diameter drawn by children in the low-income group is greater than 21.21 mm.

Step-by-step explanation:

Given that:

the sample mean [tex]\overline x[/tex] = 21.15

the standard deviation [tex]\sigma[/tex] = 4.7512

sample size N = 40

The objective is to test the claim that the mean nickel diameter drawn by children in the low-income group is greater than 21.21 mm.

At the level of significance of 0.1

The null hypothesis and the alternative hypothesis for this study can be computed as follows:

Null hypothesis:

[tex]\mathtt{H_o : \mu = 21.21}[/tex]

Alternative hypothesis

[tex]\mathtt{H_1 : \mu \geq 21.21}[/tex]

This test signifies a one-tailed test since the alternative is greater than or equal to 21.21

The t-test statistics can be computed by using the formula:

[tex]t= \dfrac{\overline x - \mu }{\dfrac{\sigma}{\sqrt{n}}}[/tex]

[tex]t = \dfrac{21.15- 21.21 }{\dfrac{4.7152}{\sqrt{40}}}[/tex]

[tex]t = \dfrac{-0.06 }{\dfrac{4.7152}{6.3246}}[/tex]

t = -0.080

degree of freedom = n - 1

degree of freedom =  40 - 1

degree of freedom = 39

From the t statistical tables,

at the level of significance ∝ = 0.1 and degree of freedom df = 39, the critical value of [tex]\mathtt{{T_{39,0.10} = 1.304}}[/tex]

Decision Rule: To  reject the null hypothesis if t > 1.340 at t

Since t = -0.080, this implies that t < 1.340 that means the t statistics value did not fall into the rejection region. Hence, we fail to reject the null hypothesis at the level of significance 0.10

Conclusion: We conclude that there is insufficient evidence to support the claim that the mean nickel diameter drawn by children in the low-income group is greater than 21.21 mm.

Answer" -9/8

by-step explanation:

-5/8 - 1/2 = -9/8

Simplify: -9/8= 1  1/8