Abby has 4 packages of granola bars
and will give each of her friends of
a package of granola bars. How many
friends will Abby give granola bars to?
A. 2
B. 4
C. 8
D. 16

Answer:

6 to the -4th is 7.716 x 10^-4

Step-by-step explanation:

To find the area of the combined rectangles, we need the dimensions (length and width) of each rectangle. However, the provided text and numbers do not seem to correspond to a clear description of the rectangles or their dimensions. Could you please provide more specific information or clarify the question?

Answer:

D) 48

Step-by-step explanation:

Let s = Scott

Let j - James

s = 5

s + 43 = j  Substitute 5 for s

5 + 43 = j

48 = j

Using the z-distribution, as we have the population standard deviation, it is found that a sample of 96 people must be taken.

It is given by:

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which:

In this problem, we have a 99% confidence level, hence\(\alpha = 0.99\), z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.

Additionally, we have that \(\sigma = 38, M = 10\), hence we solve for n to find the minimum sample size needed.

\(M = z\frac{\sigma}{\sqrt{n}}\)

\(10 = 2.575\frac{38}{\sqrt{n}}\)

\(10\sqrt{n} = 38 \times 2.575\)

\(\sqrt{n} = 3.8 \times 2.575\)

\((\sqrt{n})^2 = (3.8 \times 2.575)^2\)

n = 95.7

Rounding up, a sample of 96 people must be taken.

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Answer:

i) AUB={1,2,3,4,5,6}

ii) BUC={1,2,3,4,5,6,7}

iii)(AUB)UC={1,2,3,4,5,6,7}

iv) {1,2,3,4}

v) {4}

vi){1,2,3,4,5,6,7}

Step-by-step explanation

AUB means all the elements belongs to a and b

AnB means elements common to both sets

Answer:

1

Step-by-step explanation:

becouse is the best awser on there

Answer:

60 miles

Step-by-step explanation:

120/2=60 or 60x2=120

Answer:60 miles

Step-by-step explanation:

120/2=60

Answer:

Melody, think about this as below

Step-by-step explanation:

when does tank 1 = tank 2  when there is 6 gpm

tank 1 = 1540

tank2 = 236

1540-6x = 236 +6 x

1304 = 12x

108 \(\frac{2}{3}\) = x

6*108 \(\frac{2}{3}\) = 652 gallons

236+652=888

1504-652=888

in 108 \(\frac{2}{3}\)  minutes the tanks become equal with 888 gallons each :)

From the given situation, we have that:

A) The linear equation is R(t) = 1970 - 24t.

B) 12 years from now, the total oil reserves will be 1682 billions of barrels.

C) Approximately 82.08 years from now.

A linear function is modeled by:

y = mx + b

In which:

For this problem, the parameters are given as follows:

b = 1970, m = -24.

Hence the linear function is:

R(t) = 1970 - 24t.

For item b, the amount is of R(12), hence:

R(12) = 1970 - 24(12) = 1682.

12 years from now, the total oil reserves will be 1682 billions of barrels.

For item c, we have to solve for t when R(t) = 0, hence:

1970 - 24t = 0

24t = 1970

t = 1970/24

t = 82.08.

Approximately 82.08 years from now.

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Answer:

\(92.05^{\circ}\)

Step-by-step explanation:

By the exterior angle theorem, the answer is \(m\angle Y+m\angle Z=92.05^{\circ}\).

Answer:

A

Step-by-step explanation:

exterior angle = sum of the other two angles

63.25 + 28.8

92.05°

Given the frequency and number of possible outcomes, the number of days that must pass before it becomes probable that Janice will have had to pick up lunch at least once is 8.

Note that the probability of any of the staff at the office picking the food is 1/8.

Even if She does not pick up lunch on her first day or second, the number of days that must pass to make sure that Janice picks up lunch AT LEAST once is 1 in 8 days.

The formula to compute the probability of an event is equivalent to the ratio of favorable outputs to the total number of outputs. It is to be noted that probabilities always range between 0 and 1.

The expression is given as:

P (E) = f/O; where

P(E) is the Probability of an event E happening;

f =  The number of possible outcomes for an event (frequency)

n = Total number of outputs that are likely

Hence,

P(E) = 1/8

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Answer:

a/. x>or= 2

b/. Domain = R (all real numbers)

Step-by-step explanation:

the range for formula under the squer root is all the numbers that dosen't make the result under the squer root (-)

Answer:

  a. domain: (-∞, -2] ∪ [2, ∞); range: [0, ∞)

  b. domain: (-∞, ∞); range: [2, ∞)

Step-by-step explanation:

In each case, the domain is the set of x-values for which the function is defined. A square root function will be defined where its argument is non-negative.

The range of the function is the set of values it can produce as output. A square root function cannot produce negative values. The minimum value it can produce will depend on the argument.

__

a. The function is defined where ...

  x² -4 ≥ 0

  x² ≥ 4

  |x| ≥ 2 . . . . take the square root

  x ≤ -2 ∪ 2 ≤ x . . . . . the domain of the function

The value of x² -4 can be any non-negative number, so ...

  0 ≤ y < ∞ . . . . . the range of the function

__

b. The function is defined where ...

  x² +4 ≥ 0

True for all values of x.

  -∞ < x < ∞ . . . . . the domain of the function

The value of x² +4 cannot be less than 4, so the function value cannot be less than √4 = 2.

  2 ≤ x < ∞ . . . . . the range of the function

Answer:

Estimation and Confidence Intervals

Step-by-step explanation:

Just found it on a math website basically.

Answer:5

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

The first step to be performed in the following mathematical expression, Σx² is; Square each score

In statistic, we know that;

Mean = Σx/n

where

Σx is sum of all data

n is the sample size of the data

Now, there are other expressions such as mean deviation, variation, standard deviation e.t.c

However, when we see the expression Σx², it means the sum of the square of each score. Thus, the first step to get it is to square all the scores.

Thus, we conclude that the first step to be performed in the following mathematical expression, Σx² is; Square the scores

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Allison feeds 11 horses in a day.

Horses are herbivores and, as such, they need a very specific diet. They must consume lots of fiber to keep their extremely long and sensitive digestive tract working and they must eat little and often, almost all day long.

A horse's feed should consist primarily of grass or roughage. However, hay is insufficient to provide a complete nutritional profile. Important minerals and nutrients will be added by adding grains and concentrates, but calories will also be added. Roughage, feeds, and concentration types are listed below, from least to most "complete."

Given,

Allison feeds 2 quarter horses and 3 paint horses the same amount each day.

Therefore, she feeds 2*4+3 = 11 horses in a day.

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The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.

First, the rate of change

= (483 - 210) / (23 - 10)

= 273 / 13

= 21

So, the equation for the relationship between the number of bracelets made and the number of beads used.

(y - 210) = 21 (x-  10)

y - 210 = 21x - 210

y = 21x

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The missing term of the factorization equation is A = ( -15x - 1 ) ( x + 2 )

Given data ,

Let the equation be represented as A

Now , the value of A is

A = -15x² - 31x - 2

On simplifying , we get

The expanded form of the expression ( -15x - 1 ) ( x + 2 ) can be calculated using the distributive property of multiplication over addition

So , on factorizing , we get

A = ( -15x - 1 ) ( x + 2 )

Hence , the factorized equation is A = ( -15x - 1 ) ( x + 2 )

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The complete question is attached below :

Fill in the missing terms to complete the factorization. 15x² + x - 2 = (? -1) (? + 2)

a- 3x, 5x

b- x, 15x

c- 5x, 3x

d- 15x, x

The equation for the line is y=x+7.

The points where the lines representing the intersection of two linear equations intersect are referred to as the solution of a linear equation.

In other words, the set of all feasible values for the variables that satisfy the specified linear equation constitutes the solution set of the system of linear equations.

Given, the line's points are (2,9), (3,10), (4,11), and (5,12). (6,13)

Assuming that the line's equation is y=x+7, adding the points to the equation results in

(2,9) 9=2+7

(3,10) 10=3+7

The equation is also valid for every point on the graph.

Hence, The line's equation is y=x+7.

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Complete Question -

Answer:

10. x ≈ 15,9

11. x ≈ 17,5

Step-by-step explanation:

10. Use the Pythagorean theorem:

\( {x}^{2} = {17}^{2} - {6}^{2} = 289 - 36 = 253\)

\(x > 0\)

\(x = \sqrt{253} ≈15.9\)

11.

\( {x}^{2} = {9}^{2} + {15}^{2} = 81 + 225 = 306\)

\(x > 0\)

\(x = \sqrt{306} ≈17.5\)

Answer:

Step-by-step explanation:

each movie costs $2.75

there are 24 movies

24 x 2.75

=66

total cost=$66

Answer:

$66.

Step-by-step explanation:

All you need to do is $2.75 x 24 which equals to $66.00.

You can work this out by doing a long-multiplication method on paper or use a calculator.

Hope that helps. x

Answer:

2. = 24

3. = 6

4. = 30

5. = 15

6. = 8

7. = 40

8. = 14

9. = 60

10. = 9

11. = 40

Where the above relations are given, note that Options A,  D, and E are the relations that represents a function. The others are just relations.

To distinguish a function from a relation, look to see if any of the x values are repeated; if not, the relationship is a function. If some x values are repeated but the accompanying y values differ, we have a relation rather than a function.

Note that where you are given domain and range, only the range is represented on the x-axis.

Some of the x values may be seen repeated in B, and C.

How is this so?

B) In a coordinate system, values are represented as (x, y). so

In relations, B 2 is repeated twice to in connection with -5, and -6. That is:

(2, -5) , (2, -6)

Since two is x, then its repetition nullified the relation as a function.

C) On table indicated on C, it is much easier to identify the x and y values. As is seen, -3 is repeated twice in connection with 4 and 2. Thus, its repetition nullified the relation as a function.

As a result, Options A,  D, and E are the relations that represent a function.

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Answer:

Test statistic = 1.664

Step-by-step explanation:

The hypothesis :

H0 : μ = 47.2

H1 : μ ≠ 47.2

Given that :

Sample mean, xbar = 47

Sample size, n = 250

Standard deviation, σ = 1.9

The test statistic :

(xbar - μ) ÷ (σ/√(n))

T = (47 - 47.2) ÷ (1.9/√(250))

T = (0.2 / 0.1201665)

Test statistic = 1.664

The cost of each shirt is $6 and the cost of each pant for the given condition is $9.

The elimination approach involves taking one variable out of the system of linear equations by utilising addition or subtraction together with multiplication or division of the variable coefficients.

Let us suppose the cost of shirt = x.

Let us suppose the cost of pant = y.

Given that 3 shirts and 3 pants cost $45, this is represented as:

3x + 3y = 45 (equation 1)

1 shirt and 2 pants cost $24, this is represented as:

x + 2y = 24 (equation 2)

Using the elimination method to solve:

Multiply the second equation with 3 and change the signs of all the variables.

(x + 2y = 24) (3)

-3x - 6y = -72 (equation 3)

3x + 3y = 45

Comparing equation 1 and equation 3, the x term is cancelled, and the remaining equation after subtracting both equations is:

- 3y = -27

y = 9

Substitute the value of y in equation 2.

x + 2y = 24

x + 2(9) = 24

x + 18 = 24

x = 24 -18

x = 6

Hence, the cost of each shirt is $6 and the cost of each pant is $9.

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Answer:

LCM of 30 and 45 is 90

They will leave together after 90 minutes, which is 8:30 am

Answer:

emily gets 21 marbles and the other child gets 7 marbles

Step-by-step explanation:

3+1=4

28/4=7

7*3=21

7*1=7

so the ratio between them is 21:7