Create a system of linear and exponential functions that pass through the point 1,12

The Null hypothesis and alternative hypothesis for the given sample of cell phone spent time data of 32 randomly selected adults during lockdown and pre-pandemic times are,

                           H₀ : μd = 0 and Hₐ : μd > 0

Correct option is option (d).

To decide whether a hypothesis should be accepted or rejected, statisticians utilize formal, planned procedures known as hypothesis testing. Hypothesis testing is the process of choosing hypotheses for a specific probability distribution based on observable evidence.

Given:

A study obtained time data of 32 randomly selected young adults spent on their cell phones pre-pandemic and then during the lockdown phase of the pandemic. let us consider,

L --> time spent on cell phone by adults during lockdown

P --> time spent on cell phone by adults at pre pandemic time

and                       d = L- P

we want to perform a hypothesis testing on this sample .

The samples are dependent because same adults are being sampled before and after the lockdown.

Also, we need to test if mean time after is higher than mean time before so this is a right tailed test. Hence,

The correct hypotheses will be:

                                   H₀ : μd= 0

                                     Hₐ : μd> 0

Hence, option D is the correct option.

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The volume of a cube is given by V = s^3, where s is the edge length.

Given V = 116, we can solve for s as follows:

s^3 = 116

Taking the cube root of both sides, we get:

s = ∛116

This is the exact value of the edge of the cube in cube root notation. We can simplify it further as follows:

116 can be factored as 2 × 2 × 29. Taking the cube root of each factor, we get:

∛2 × ∛2 × ∛29

This can be simplified as:

2∛29

Therefore, the exact value of the edge of the cube in cube root notation is 2∛29 units.

Answer:

m=1/2

Step-by-step explanation:

your answer is right

There are number of 42 different types of shirts are available from this company.

We have to given that,

A shirt company had 3 designs each of which can be made with short or long sleeves.

And, There are 7 patterns available.

Hence, Total number of different types of shirts are available from this company are,

⇒ 3 × 2 × 7

⇒ 42

Thus, There are 42 different types of shirts are available from this company.

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Answer:

ill try:

18 - 7 = 11

11 - 5 = 6

6 offered math but neither chem nor bio.

16 - 7 = 9

9 - 9 = 0

0 - 5 = -5

so 0 offered bio but neither chem nor math.

Answer:

A. Beggining amount of money

Step-by-step explanation:

y=mx+b

T=75n+300

b=y-intercept

m=slope=rise/run

y-intercept is the starting amount.

where the x is 0 (0,y)

Hope this helps.

Answer:

answer is a . x²-8x+16=32

x²-8x=32-16

Answer:

it should be 1,1. nnhbnhh vfc thg there eventual

The image of the point (0,1) after a rotation of 270^ ∘ counterclockwise about the origin is (-1, 0).

Let the point be having coordinates (x,y).

Case 1: If the point is in the first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

Case 2: If the point is in the second quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

Case 3: If the point is in the third quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

For points on axes, it can take that point in any of the two surrounding quadrants. Since if the point is on the positive x-axis, then it can take as of the first quadrant or fourth quadrant.

There is no effect as we assumed rotation is concerning origin.

(0,1) ---- (-1, 0)

Hence, the image of the point (0,1) after a rotation of 270^ ∘ counterclockwise about the origin is (-1, 0).

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Answer:

length = 12 feet , area = 72 ft²

Step-by-step explanation:

the perimeter (P) is the sum of the 4 sides of the rectangle.

let w be width then length is 2w

opposite sides of a rectangle are congruent , so

P = 2(2w) + 2w = 4w + 2w = 6w

given P = 36 , then

6w = 36 ( divide both sides by 6 )

w = 6

then

length = 2w = 2 × 6 = 12 feet

the area (A) of a rectangle is calculated as

A = length × width = 12 × 6 = 72 ft²

Answer:

f(0) = 2

Step-by-step explanation:

Step 1: Define

f(x) = 2 - 3x

f(0) = x = 0

Step 2: Substitute and Evaluate

f(0) = 2 - 3(0)

f(0) = 2 - 0

f(0) = 2

As shown in the number line, The total distance of the racing road is 70 yards.

it is given that the starting location is -35 yards behind the starting line and the ending location of the race court is 35 yards in front of the starting line.

we have to draw a Number line that has -35 and +35 so the origin of that number line is the starting point of the race court.

In the above figure if we are moving forward towards the origin we find that we are moving 35 yards in the number line, after reaching the origin of the number line move forward again 35 yards then we are at the ending location of the racing court.

So,

35 yards + 35 yards = 70 yards

The total racing area of the cars is = 70 yards.

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Answer:

NULL ; TRUE

Step-by-step explanation:

The sampling distribution is on the assumption that the null hypothesis is true .

The null hypothesis is a general statement that states that there

is no relationship between two phenomenon's under

consideration or that there is no association between two groups.

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The sampling distribution is based on the assumption that the null hypothesis is TRUE.  

A null hypothesis is a general statement that something is. There is no relationship between the two phenomena under or consider that there is no relationship between the two groups.  

The sampling distribution is based on the assumption that the null hypothesis is TRUE.

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Answer:

---

Step-by-step explanation:

1. x-5=18

For this one, we add 5 to both sides, therefore canceling it out.

x-5=18

+5  +5

x=23

2. x+2=-1.4

Now for number 2, we subtract 2 from both sides.

x+2=-1.4

 -2   -2

x=-3.4

3. x-5.5=-8.2

     +5.5 +5.5

x=-2.7

4. 3.4-x=1.88

   -3.4    -3.4

-x=-1.52

Now this gets a bit weird. The x is negative, but we can fix that. There was a secret 1 there all along.

-1x=-1.52

Just divide -1.

-1x=-1.52

/-1    /-1

x=1.52

---

hope it helps

Answer:

A) No solution

Step-by-step explanation:

Both linear equations have the same slope of 3, but different y-intercepts. Therefore, there will be no solutions because the lines will never intersect each other.

Point A is three units left and three units up from the origin, so its coordinates are (-3, 3). Therefore, the correct answer is option 2) (-3, 3).

The topic of coordinate geometry involves the use of the Cartesian plane, also known as the coordinate plane or xy-plane, to graph and analyze relationships between points, lines, and shapes. The plane consists of two perpendicular number lines called the x-axis and the y-axis.

The origin, denoted by the point (0, 0), is the point where the two axes intersect. Points on the plane are represented by ordered pairs of numbers (x, y), where x is the distance from the y-axis and y is the distance from the x-axis. Lines on the plane can be represented by their slope and y-intercept, while shapes like circles, rectangles, and triangles can be graphed and analyzed using their respective formulas.

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Answer: (−3, −3)

Step-by-step explanation:

The perimeter of triangle is 66.24 units.

What is triangle?

In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane

Main body:

according to question :

c = 28

let the vertices be A,B,C

∠A= 30°

by using trigonometric ratios,

BC/ AB = sin30°

AB = C = 28

BC/28 = sin30°

BC = 28*sin30°

BC= 28*(1/2)

BC = 14

similarly

AB /CA = cos 30°

28/CA = √3/2

CA = 28*√3/2

CA = 14/√3

CA = 24.24

Hence , perimeter = AB +BC +CA = 28+14+24.24

                              =66.24 units

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(a-1) The value of the population mean is unknown.

(a-2) The best estimate of the population mean is the sample mean, which is 20 eggs.

(c) The value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.

(d) the 95% confidence interval for the population mean is approximately (17.902, 22.098).

(e-1) It would not be reasonable to conclude that the population mean is 17 eggs.

(e-2) It would be reasonable to conclude that the population mean is 18 eggs.

(a-1) The given information provides the sample mean (20 eggs) and the sample standard deviation (5 eggs), but it does not directly provide the population mean.

(a-2) In the absence of other information, the sample mean is a reasonable estimate of the population mean.

(c) For a 95% confidence interval, the value of t can be determined using the t-distribution with n-1 degrees of freedom, where n is the sample size. In this case, the sample size is 18, so the degrees of freedom is 18 - 1 = 17.

Using a t-distribution table or a statistical software, the value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.

(d) To determine the 95% confidence interval for the population mean, we can use the formula: Confidence interval = sample mean ± (t * standard error), where the standard error is the sample standard deviation divided by the square root of the sample size.

In this case, the sample mean is 20, the standard deviation is 5, the sample size is 18, and the value of t is 2.110. Plugging in these values, the confidence interval is 20 ± (2.110 * (5 / √18)), which evaluates to approximately 20 ± 2.098.

(e-1) The 95% confidence interval calculated in part (d) does not include 17 eggs, indicating that it is unlikely for the population mean to be 17 eggs.

(e-2) The 95% confidence interval calculated in part (d) includes 18 eggs, suggesting that it is plausible for the population mean to be 18 eggs.

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Answer:

$480

Step-by-step explanation:

400 × .20 = 80

the retailer got an extra 20% or $80 for the machine.

$400 + $80 = $480

The customer paid $480 for the washing machine.

Answer:

$25 and 8 cents more

Step-by-step explanation:

55.50 - 30.50 = 25

18 - 10 = 8

Answer:

Rectangle 1: 84 ft^2   Rectangle 2: 8 ft^2

Step-by-step explanation:

Split the figure into two rectangles

Rectangle 1:

Width of rectangle 1 can be found by subtracting 8 ft from 15 ft

15-8=7 ft (width)

length is already given as 12 ft

So,

A = L x W

A = 12ft x 7 ft

A = 84 ft^2

Length is already given of one of the rectangles

Rectangle 2:

Finding the width of Rectangle 2 can be found by subtracting 11 ft from 12 ft to find the length of that dashed line or the width of rectangle 2.

12 ft - 11 ft = 1ft (width)

Length: 8 ft

Width: 1ft

A=l x w

A=8 x 1

A=8 ft^2

Answer:

just divide

Step-by-step explanation:

and just use the formula

Use FOIL (First, Outer, Inner, Last) to compute (a-4)(b-4)

(a-4)(b-4) =
ab - 4a - 4b + 16

The divergence of the vector field D = xyi + yzj + xz²k is given by ∇ · D = y + z + 2xz (Option C).

The divergence of a vector field is a scalar quantity that represents the net outward flux of the vector field from an infinitesimal volume element. Mathematically, the divergence of a vector field F = Fi + Fj + F k is defined as the sum of the partial derivatives of its components with respect to their respective variables.

In this case, we have D = xyi + yzj + xz²k. Taking the partial derivatives, we find:

∂/∂x (xy) = y

∂/∂y (yz) = z

∂/∂z (xz²) = 2xz

Adding these partial derivatives together, we get y + z + 2xz. Therefore, the divergence of the vector field D is y + z + 2xz (Option C).

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the number of students who use none of the three browsers is the difference between the total number of students in the class (85) and the number of students who use at least one of the three browsers: 85 - 100 = 10.

From the given information, we know that 20 students use only Chrome, 15 students use only Safari, and 15 students use only Internet Explorer. Since none of the students use all three browsers, the number of students using only one browser is 20 + 15 + 15 = 50.

Now, let's calculate the number of students who use multiple browsers. The total number of students using Chrome is 45, and 20 of them use only Chrome. Therefore, the number of students using Chrome along with other browsers is 45 - 20 = 25. Similarly, the number of students using Safari or Internet Explorer along with other browsers is also 25.

To find the number of students who use at least one of the three browsers we will use principle of inclusion-exclusion formula, we add the number of students using only one browser and the number of students using multiple browsers: 50 + 25 + 25 = 100.

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True, an iterative algorithm will usually run faster than an equivalent recursive algorithm. This is because iterative algorithms use loops to repeat a set of instructions, whereas recursive algorithms call themselves repeatedly until they reach a base case.

An iterative algorithm will usually run faster than an equivalent recursive algorithm. This is because recursive algorithms often involve function calls, which have overhead costs such as saving and restoring the call stack. In contrast, iterative algorithms use loops and do not require the same overhead, making them more efficient in terms of both time and memory usage.

However, it's important to note that some problems may be more elegantly or intuitively solved using recursion, even if it's less efficient. The repeated function calls in a recursive algorithm can lead to slower performance and higher memory usage compared to the more direct approach of an iterative algorithm.

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Answer:

480 minutes

Step-by-step explanation:

One hour is 60 minutes, so 8*60 will give you your answer.

Answer:

Step-by-step explanation:

Theres 60 minutes in 1 hour, and you are trying to find how many in 8 hours, so you would multiply 60 by 8. The answer would be 480 minutes

Given:

Fraction of cake left = ¾

Let's find the number of 3/16 size portions of the remaining cake he can share with his family.

To find the amount of 3/16 size portions he can share, divide the remainder by 3/16.

Thus, we have;

To divide the fractions, change the division symbol to multiplication and flip the fraction on the right.

We have:

Therefore, he can share 4 portions of 3/16

ANSWER:

4

Answer:

100 square meters

Step-by-step explanation:

\( {x}^{2} + 6x + 8x = 240\)

\( {x}^{2} + 14x = 240\)

\( {x}^{2} + 14x - 240 = 0\)

\((x - 10)(x + 24) = 0\)

\(x = 10\)

x = -24 will not work (it is extraneous).

\( {x}^{2} = 100\)

So the area of the square region is 100 square meters.