Help on math please cause Im just to lazy

Based on the sample, we can estimate that about 181 Grade 8 students in the school plan to take computer science in high school.

We have,

To estimate the number of Grade 8 students in the school who plan to take computer science in high school, we can use the proportion of students in the sample who plan to take computer science.

The proportion of students who plan to take computer science in the sample.

= 15/27

= 0.5556

We can assume that this proportion is representative of the entire Grade 8 population in the school.

To estimate the number of Grade 8 students who plan to take computer science, we can multiply this proportion by the total number of Grade 8 students in the school:

= 0.5556 x 326

= 181

Therefore,

Based on the sample, we can estimate that about 181 Grade 8 students in the school plan to take computer science in high school.

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By the principle of mathematical induction, the statement cn = 32n is true for all integers n ≥ 0.

To show that the sequence cn = 32n for all integers n ≥ 0, we can use mathematical induction.

Step 1: Base case

Let's first verify the statement for the base case when n = 0.

c0 = 3 (given)

32n = 3^0 = 1

So, the statement holds true for the base case.

Step 2: Inductive hypothesis

Assume that the statement is true for some arbitrary positive integer k, i.e., ck = 32k.

Step 3: Inductive step

We need to show that the statement is true for the next integer, k + 1.

We know that ck+1 = (ck)^2.

Substituting the inductive hypothesis into the equation:

ck+1 = (32k)^2 = 32(2k).

By the laws of exponentiation, (32)^2 = 32*2 = 32^2 = 32(1+1) = 32(2).

Therefore, ck+1 = 32(2k) = 32(2) = 32(1+1) = 32^2 = 32(2).

So, the statement holds true for k + 1.

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Square root of 4 is not a polynomial. It is a quadratic function. Functions containing other operations like square root is not a polynomial.

A polynomial need not have any square root.  polynomial is a finite sequence form. it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions. Polynomial are sums and differences of polynomial terms. For an expression to be a polynomial term, any variables in the expression must have whole number powers. It should not have any square root, cube root or any negative values. Quadratic function can have square root cube roots and fraction values.

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Answer:

Let 2n = the first of three consecutive even numbers, where n is an integer.

Let 2n + 2 = the second of three consecutive even numbers, and

Let 2n + 4 = the third of three consecutive even numbers.

We're given that "sum of three consecutive even numbers is 552." We can translate this English sentence mathematically into the following equation to be solved for n:

2n + (2n + 2) + (2n + 4) = 552

Removing the parentheses, we have:

2n + 2n + 2 + 2n + 4 = 552

Now, by the Commutative Law of Addition, i.e., a + b = b + a, we have on the left side of the equation:

2n + 2n + 2n + 2 + 4 = 552

Now, collecting like-terms on the left, we get:

6n + 6 = 552

To solve for the variable n, We now begin isolating n on the left side by subtracting 6 from both sides as follows:

6n + 6 - 6 = 552 - 6

6n + 0 = 546

6n = 546

Now, divide both sides by 6 to finally solve for n:

(6n)/6 = 546/6

(6/6)n = 546/6

(1)n = 91

n = 91

Therefore, the first of three consecutive even numbers, 2n, is:

2n = 2(91)

= 182

The second of three consecutive even numbers is:

2n + 2 = 2(91) + 2

= 182 + 2

= 184

The third of three consecutive even numbers is:

2n + 4 = 2(91) + 4

= 182 + 4

= 186

CHECK:

2n + (2n + 2) + (2n + 4) = 552

182 + 184 + 186 = 552

552 = 552

Therefore, the desired and first of three consecutive even numbers is indeed 2n = 182.

The subtraction problem represented by the fraction model is given above.

Given is a figure as shown in the image.

We can write the fractional problem as -

" A rectangle is divided into eight equal rectangles. Smith colored six of these rectangles. How much percentage fraction of the image is colored."

Therefore, the subtraction problem represented by the fraction model is given above.

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Answer:

perimeter = 18 units

area = 20 square units.

Step-by-step explanation:

We know that a rectangle is defined by two measures, length L, and width W.

Such that the perimeter is given by:

P = 2*(L + W)

and the area is given by:

A = L*W

Here we know that the vertices of or rectangle are:

(-1, 6)

(-1, 2)

(4, 2)

(4, 6)

Here you can see that we have just two different values of x (-1 and 4) and two different values of y (6 and 2)

So we can define the length L as the difference between the two different values of x:

L = 4 - (-1) = 4 + 1 = 5 units

And the width as the difference between the two different values of y:

W = 6 - 2 = 4 units

A graph of the rectangle can be seen below, to see why I choose to define the length and width in this way.

Now that we know the measures of our rectangle, and using the above formulas for perimeter and area, we get:

P = 2*(W + L) = 2*(5 + 4) = 18 units

A = W*L = 5*4 = 20 square units

Answer:

1/8

Step-by-step explanation:

Half of the numbers are even on a dice.

The probability of even number is 1/2 for each roll.

For 3 rolls the probability is:

Answer:

Step-by-step explanation:

rate of Bumblebee=38/14=19/7=1 5/7 flowers /min

rate of Butterfly=21/7=3 flowers/min

so Butterfly is visiting the flowers at a faster rate.

Answer:

33

Step-by-step explanation:

[(3+5)⋅2−5]⋅3

[8·2−5]⋅3

[16−5]⋅3

11⋅3

33

Answer:

33

Step-by-step explanation:

Lets break it down. Remember PEMDAS

[(3+5)⋅2−5]⋅3

[(8)⋅2-5]⋅3 start with the parenthisis

[16-5]⋅3 multiply

[11]⋅3

33

hope this helps :)

Answer:

5.33π or 16.76(if π=3.142)

Step-by-step explanation:

when the diameter is rotated it forms a hemisphere,

so,volume =2/3πr^3

= 2/3 *2^3π=2/3*8π

=16/3π

=5.33π=16.76

hope this helps

Answer:

1 : 2

Step-by-step explanation:

The original ratio would be 3 : 6, so now you need to simplify it.

To simplify ratios, you divide the number on each side by their greatest common factor. The GCF(greatest common factor) for 3 and 6 would be 3, so divide 3 by 3 =1 and divide 6 by 3 =2, so then your simplified ratio of circles to triangles would be 1 : 2

Hope this helps! :)

35 because you can not multiply both numbers by the same number to get a smaller Greatest common multiple

Answer:

$27

Cost = 20 + 1x = 20 + x

Step-by-step explanation:

Membership fee is $20 per month. This amount has to be paid whether he buys pizzas or not that month

If x is the number of pizzas, the total cost for 7 pizzas at discounted price of $1 is  20 + 7 x 1 = $27

For  x pizzas, the equation is

Cost = 20 + x

The optimal point (x, y) can be found by solving the simultaneous equations. The slack for constraint (1) is the difference between the right-hand side and the left-hand side of the inequality, representing the unused capacity in the constraint.

The optimal point (x, y) can be found using the simultaneous equations method. From the given constraints:

2X + 3Y ≤ 240 ...(1)

2X + Y ≤ 120 ...(2)

X, Y ≥ 0

To find the optimal point, we need to solve these two equations simultaneously. By solving equations (1) and (2), we can find the values of X and Y that satisfy both constraints. Once we have the values of X and Y, we can substitute them into the objective function (profit function) to determine the maximum profit.

To find the slack for constraint (1), we need to evaluate the difference between the left-hand side (LHS) and the right-hand side (RHS) of the inequality. In this case, the slack for constraint (1) is calculated as:

Slack for constraint (1) = RHS - LHS = 240 - (2X + 3Y)

The slack represents the amount of unused resources or capacity in the constraint. It tells us how much "slack" or leeway we have in the constraint before it becomes binding. If the slack is positive, it means that the constraint is not fully utilized and there is room for improvement. If the slack is zero, it indicates that the constraint is exactly satisfied. If the slack is negative, it implies that the constraint is violated and adjustments need to be made.

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Given:

The equation is

\(4(x-3)+5=17\)

To find:

The solution of given equation.

Solution:

We have,

\(4(x-3)+5=17\)

Using distributive property, we get

\(4(x)+4(-3)+5=17\)

\(4x-12+5=17\)

\(4x-7=17\)

Adding 7 on both sides, we get

\(4x-7+7=17+7\)

\(4x=24\)

Divide both sides by 4.

\(x=\dfrac{24}{4}\)

\(x=6\)

Therefore, the value of x is 6.

Answer:

8/12,4/6

Step-by-step explanation:

Answer:

8/12, 4/6 are equal to 2/3

Answer:

We know that the equation for the speed is:

Speed = Distance/time.

First, we know that he walks 2 miles in 15 minutes.

distance = 2miles

time = 15 minutes

Then his speed in that interval is:

Speed = (2 mi)/(15 min) = (2/15) miles per minute.

Now, at this same speed, he wants to walk 3 more miles. And we want to find the equation that represents how much time she needs to walk 5 miles (the 2 first miles plus the other 3 miles)

We use again the equation:

Speed = Distance/Time

But we isolate Time, to get:

Time = Distance/Speed

Where:

Distance = 5 miles

Speed = (2/15) miles per min

Time = (5 miles)/((2/15) miles per min) = 37.5 minutes

She needs 37.5 minutes to walk the 5 miles.

Answer:

This graph does represent a function because when you do the vertical line test, none of the x-values intercept more than once.

Step-by-step explanation:

Hope this helps!

Answer:

The general equation of a slope-intercept form is as below;

\(y = mx + c\)

m » slope / gradient

c » y - intercept

x » x - intercept

Since our equation is 5x + 2y = -6, make y the subject:

\(5x + 2y = - 6 \)

subtract 5x from either sides:

\((5x + 2y) - 5x = - 6 - 5x \\ 2y = - 5x - 6\)

apply the division rule of equality:

\( \frac{2y}{2} = \frac{ - 5x}{2} - \frac{6}{2} \\ \\ { \boxed{ \boxed{answer : \: y = - \frac{5}{2} x - 3}}}\)

slope » -5/2

y - intetcept » -3

\(2 - 3csc(x) > 8 \\ 2 - \frac{3}{sin(x)} > 8 \\ - 6 > \frac{3}{sin(x)} \\ - 2 > \frac{1}{sin(x)} \\ \frac{ - 1}{2} < sin(x) \: \: or \: \: \: sin(x) > \frac{ - 1}{2} \\ \\ \)

\(sin( \frac{ - \pi}{6} ) = \frac{ - 1}{2} \)

\(x \: in \: \: [0, \frac{7\pi}{6}[U] \frac{11 \pi }{6} ,2\pi] + 2k\pi\)

Answer:

D. pi<x<7pi/6 and 11pi/6<x<2

Step-by-step explanation:

Took the test and this is the correct answer

Dilation involves changing the size of a figure.

Isaiah's claim is not true because the \(\mathbf{\angle BCD}\) is larger than \(\mathbf{\angle B'C'D'}\)

Dilation is not a rigid transformation, however it does not change the angles of the figures it dilates.

The above statement implies that,

The measure of \(\mathbf{\angle BCD}\) and \(\mathbf{\angle B'C'D'}\) should be the same

However, we can see that;

\(\mathbf{\angle BCD}\) and \(\mathbf{\angle B'C'D'}\) are not equal.

In fact,

\(\mathbf{\angle BCD}\) is larger than \(\mathbf{\angle B'C'D'}\)

Hence, Isaiah's claim is not true

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a) The (9,009, 10,585) range represents the 99% confidence interval for the mean number of steps taken on an average workday for all New York City employees who wear activity trackers. No, we are unable to determine the likelihood of specific values using the confidence interval. Only inferences about the population mean can be drawn from it.

A 99% confidence interval for the mean needs to be calculated.

Since the population standard deviation is unknown, we must infer it from the sample standard deviation in order to get the critical number using a t-students distribution.

Sample Mean(M) = 9,797

Sample Standard Deviation(s) = 2,313.

Sample Size(N) = 61

When σ is unknown, an estimation of σM is made by dividing s by the square root of N:

S = s/√n

S = 2313/√61

S = 2313/7.8102

S = 296.1512

These sample size's degrees of freedom are:

df = n - 1

df = 61 - 1

df = 60

With 61 degrees of freedom and a 99% confidence interval, the t-value is 2.66.

The Margin of Error calculated as:

MOE = t × S

MOE = 2.66 × 296.1512

MOE = 787.7622

The confidence interval's lower and upper bounds are as follows:

Lower Bound = M - MOE

Lower Bound = 9797 - 787.7622

Lower Bound = 9,009.2378

Lower Bound = 9,009(approx)

Upper Bound = M + MOE

Upper Bound = 9797 + 787.7622

Upper Bound = 10,584.7622

Upper Bound = 10,585(approx)

We have a 95% confidence interval between 9,009 and 10,585 steps as the mean number of steps taken on a normal workday for all New York City employees using activity trackers.

b) The value of 8,500 steps is outside the confidence interval, which indicates that it is a high figure for the average number of steps taken by all New Yorkers using activity trackers.

The confidence interval cannot be used to calculate the likelihood of specific values.

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The complete question is:

Activity trackers are electronic devices that people wear to record physical activity. Researchers wanted to estimate the mean number of steps taken on a typical workday for people working in New York City who wear such trackers. A random sample of 61 people working in New York City who wear an activity tracker was selected. The number of steps taken on a typical workday for each person in the sample was recorded. The mean was 9,797 steps and the standard deviation was 2,313 steps.

a. Construct and interpret a 99 percent confidence interval for the mean number of steps taken on a typical workday for all people working in New York City who wear an activity tracker.

b. A wellness director at a company in New York City wants to investigate whether it is unusual for one person working in the city who wears an activity tracker to record approximately 8,500 steps on a typical workday. Is it appropriate to use the confidence interval found in part (a) to conduct the investigation.

The equation of the sine curve is y = sin(7.59x)

The complete question is added as an attachment.

The sine function is given as:

y = sin(bx)

And the value of b is given as:

b = 2π/T

Where T = 0.828

Substitute T = 0.828 in b = 2π/T

b = 2π/0.828

Evaluate

b = 7.59

Substitute b = 7.59 in y = sin(bx)

y = sin(7.59x)

Hence, the equation of the sine curve is y = sin(7.59x)

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Answer:

you have to isolate the variable

Step-by-step explanation:

7k-14=42

+14    +14

7k=56

7k/7+56/7

k=8

: )

Hello There! :)

3 Negative numbers that are less than -1:

And it goes on and on for ever. Hope it helps you! :)

Do ask me if you have any question.

~An excited gal

\(MagicalNature\) here to help

Answer:

-4,-9,-10

Step-by-step explanation:

The distance of chord GH is \(x = 10$.\)

What is meant by chord?

In geometry, a chord is a line segment that joins two points on the circumference of a circle. The two endpoints of a chord lie on the circle, and the chord itself may or may not pass through the center of the circle.

Since G, H, J, K are collinear, we can use the power of a point theorem to set up an equation:

\($$(GH)(HJ) = (KJ)(MJ)$$\)

Substituting the given values, we get:

\($$(x+8)(8) = (6)(18+6)$$\)

Expanding and simplifying, we get:

\($$8x + 64 = 144$$\)

Subtracting 64 from both sides, we get:

\($$8x = 80$$\)

Dividing both sides by 8, we get:

\($$x = 10$$\)

Therefore, the distance between G and H is \(x = 10$.\)

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Answer:

The answer would be A.

Step-by-step explanation:

You would take 9 x 10^5 = 900000 and divide that by 16 to get 56250.

After that, you move the decimal over by 4 to make it a number with only one number above zero in front of the decimal to make 5.625 (negate the 0 bc it does not mean anything after you moved the decimal over)

Since you moved it over by four places, the exponent next to the 10 will be 4, making the final answer 5.625 x 10^4

Good luck and hope this helps!!