Suppose a population is known to be approximately normal and you are finding a 98% confidence interval with a sample size of 32. Identify the critical value you will use if you are using a

Answer:

192

Step-by-step explanation:

multiply by each side to find the answer. 4x2 is 8 and 8 x 24 is 192. Which ever order you multiply the numbers in you will always get 192. Hope this helps ^^

The price of the watch before the discount is calculated to be £24.44.

As the total price of the watch and a pair of trainers is £53. 55 and the price of the trainer before the discount was £38, we first calculate the price of the trainers after the discount as follows;

discount on a pair of trainers = 15/100 × 38 =  £5.7

cost of trainers after discount =  £38 - 5.7 =  £32.3

Now the price of the watch after the discount can be calculated by subtraction as follows;

price of watch after discount = total price - price of trainers after discount

price of watch after discount =  £53. 55 - £32.3

price of watch after discount = £21.25

Now the price of the watch before the discount can be calculated as follows;

price of watch before discount = £21.25 × 15/100

price of watch before discount = £21.25 + £3.1875

price of watch before discount = £24.44

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find dy/dx

x= t sin(t); (Given in the question)

y= t²+8t; (Given in the question)

then, x= t sin(t)

dx/dt = sin t + t cos t ;

y= t²+8t

dy/dt = 2t + 8;

then, dy/dx = dy/dt x dx/dt

dy/dx = (2t+8)/(sin t + t cos t)

dy/dx = 2(t+4)/(sin t + t cos t)

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The scientific notation is  \(1.45*10^{11}\)

Scientific notation is a way to present extremely large or extremely small numbers in a more understandable way. We are aware that full numbers can go on forever, but we are unable to write such enormous figures on paper. Additionally, a simpler method of representation was required for the numbers that appear at the millions place after the decimal. This makes it challenging to represent a small number of integers in their enlarged form. We, therefore, employ scientific notations.

We need to move the decimal point 11 places to the left therefore the exponent for the 10s term will be positive:

\(145,000,000,000=145,000,000,000.0=1.45*10^{11}\)

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Answer:

Step-by-step explanation:

Let rose bush = x, shrub = y

Equations:

Solve the system by elimination, multiply the second equation by 2 and subtract the first equation:

Find the value of y:

The exponential function between (-1, 2/5) and (3, 250) is as follows:

\(f(x) = 2 * 5^x\)

By combining the fourth roots from both sides, we arrive at:

b = 5

When we use the expression we discovered for a and this value of b, we get:

a = (2/5) * 5 = 2

As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:

\(f(x) = 2 * 5^x\)

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

from the question:

This is the shape of the exponential function:

f(x) = a *\(b^x\)

where a represents the starting point and b represents the exponential function's base.

We must solve the system of equations to determine the values of a and b that meet the requirements:

a * \(b^(-1)\) = 2/5 (equation 1) 

a *\(b^3\)= 250 (equation 2) 

We can solve for an in equation 1 by multiplying both sides by b:

a = (2/5) * b

Substituting this expression into equation 2, we get:

(2/5) * b *\(b^3\) = 250

Simplifying, we get:

\(b^4 = 3125\)

By combining the fourth roots from both sides, we arrive at:

b = 5

When we use the expression we discovered for a and this value of b, we get:

a = (2/5) * 5 = 2

As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:

\(f(x) = 2 * 5^x\)

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Answer:

(x-2)^2 (x+2)

Step-by-step explanation:

took the quiz

The point with coordinates (-2, 2) is symmetric to point H (2, -2) with respect to the origin (0, 0).

When a point is symmetric to another point with respect to the origin, the x-coordinate and y-coordinate are flipped.

In this case, point H has coordinates (2, -2). To find its symmetric point with respect to the origin, we need to flip the signs of both the x-coordinate and y-coordinate.

So, the x-coordinate of the symmetric point will be -2 (opposite sign of 2), and the y-coordinate will be 2 (opposite sign of -2).

Therefore, the point with coordinates (-2, 2) is symmetric to point H (2, -2) with respect to the origin (0, 0). Both points are equidistant from the x-axis and y-axis, and they lie on opposite sides of the origin.

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SOLUTION:

Case: Interpreting slopes from linear equations

Method:

V(x) = 20.6 + 2.2x

Compared to

y = mx + b

Where m is the slope and it is being interpreted as the rise for every single run on the line graph.

As it applies,

V(x) = 20.6 + 2.2x

m = 2.2 thousand ie. 2200

It is interpreted as the amount the value increases by each month.

Final answer:

The value of this investment is increasing at a rate of $2200 each month

According to the given statement of the Nolan bought 5 pounds of turnips.

To find out how many pounds of turnips Nolan bought, we need to calculate the weight of the turnips. We are given that the bag of parsnips weighed 2 1/2 pounds.
The weight of the turnips is 5 times the weight of the parsnips. To find the weight of the turnips, we can multiply the weight of the parsnips by 5.
2 1/2 pounds can be written as 2 + 1/2 pounds.
To multiply a whole number by a fraction, we multiply the whole number by the numerator and divide by the denominator.
So, 2 * (1/2) = 2/2 = 1
Therefore, the parsnips weigh 1 pound.
Now, we can calculate the weight of the turnips by multiplying the weight of the parsnips (1 pound) by 5.
1 pound * 5 = 5 pounds.
Therefore, Nolan bought 5 pounds of turnips.

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The weight of the parsnips that Nolan bought is 2 1/2 pounds. To find out how many pounds of turnips Nolan bought, we need to multiply the weight of the parsnips by 5, since the turnips weigh 5 times as much as the parsnips. Nolan bought 12 1/2 pounds of turnips.

First, we need to convert the mixed number 2 1/2 to an improper fraction. To do this, we multiply the whole number (2) by the denominator (2) and add the numerator (1). This gives us 5 as the numerator, and the denominator remains the same (2). So, 2 1/2 is equal to 5/2.

Now, let's multiply the weight of the parsnips (5/2 pounds) by 5 to find the weight of the turnips. When we multiply a fraction by a whole number, we multiply the numerator by the whole number and keep the denominator the same.

So, 5/2 multiplied by 5 is (5 * 5) / (2 * 1) = 25/2 = 12 1/2 pounds.

Therefore, Nolan bought 12 1/2 pounds of turnips.

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The given region is the part of the paraboloid y = x^2 + 5z^2 that lies between the planes y = 6 and y = 10 in the first octant.

The limits of integration for x, y, and z will be as follows:

The paraboloid intersects the plane y = 6 at the following values of x and z:

6 = x^2 + 5z^2

x^2 + 5z^2 - 6 = 0

Using the quadratic formula, we get:

x^2 = -5z^2 + 6

x = ±sqrt(-5z^2 + 6)

Since we are only considering the first octant, we will take the positive square root, i.e., x = sqrt(-5z^2 + 6).

The paraboloid intersects the plane y = 10 at the following values of x and z:

10 = x^2 + 5z^2

x^2 + 5z^2 - 10 = 0

Using the quadratic formula, we get:

x^2 = -5z^2 + 10

x = ±sqrt(-5z^2 + 10)

Again, we will take the positive square root, i.e., x = sqrt(-5z^2 + 10).

Since we are in the first octant, we have the following limits for z:

0 ≤ z ≤ sqrt(2/5)

For each value of z, we have the following limits for x:

sqrt(-5z^2 + 6) ≤ x ≤ sqrt(-5z^2 + 10)

Finally, we have the following limits for y:

6 ≤ y ≤ 10

Thus, the limits of integration are:

lx = sqrt(-5z^2 + 6)

ux = sqrt(-5z^2 + 10)

ly = 6

uy = 10

lz = 0

uz = sqrt(2/5)

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Given the equation:

-39 = 4w + 7(w-3)

Let's solve the equation for w.

To solve take the following steps.

• Step 1.

Apply distributive property

• Step 2.

Combine like terms

• Step 3.

Add 21 to both sides

Step 4.

Divide both sides by 11

ANSWER:

w = -1.63

Answer: 1: 34 units    2: 24.5

Step-by-step explanation:

For figure 1, just split the area into squares and triangles and find the area of each. If you split figure 1 into 1 square and 3 triangles you get...

4x4= 16

(4x3)/2= 6

(4x4)/2= 8

(4x2)/2= 3

16+6+8+3 = 34

You do the same for figure 2, but use 4 triangles and 1 tiny square

1x1= 1

(4x3)/2= 6

(3x3)/2= 4.5

(4x4)/2= 8

(5x5)/2= 5

1+6+4.5+8+5= 24.5

You shouldn't need to worry about negative numbers because you are looking at the area

If the cost for 10 ounce of organic blueberry is $2. 70, the cost of 30 ounce of organic blueberry is represented by the equation x = 20y + 2.70 where y is the cost in dollars for one ounce of organic blueberry.

As x is the cost in dollar for 30 ounce of organic blueberry. For y is the cost in dollars for one ounce of organic blueberry, then

x = 30y + c

where c is the fixed cost

We know for 10 ounce of organic blueberry it costs $2.70. That is

2.70 = 10y + c

c = 2.70 - 10y

So x = 30y + 2.70 - 10y

x = 20y + 2.70

-- The question is incomplete, the complete question is as follows--

"The cost for 10 ounce of organic blueberry is $2. 70 which equation can be used to determine x the cost in dollars, for 30 ounces of organic blueberries.?"

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Answer:

C) 150

Step-by-step explanation:

Answer:

b = (a - 6)^2

Step-by-step explanation:

Solve for b:

a = sqrt(b) + 6

a = sqrt(b) + 6 is equivalent to sqrt(b) + 6 = a:

sqrt(b) + 6 = a

Subtract 6 from both sides:

sqrt(b) = a - 6

Raise both sides to the power of two:

Answer: b = (a - 6)^2

The formula is simplified as the equation b = a² - 6

Given data:

To make "b" the subject of the formula "a = √(b + 6)", we need to isolate "b" on one side of the equation.

Here are the steps to rearrange the equation and solve for "b":

Start with the equation: a = √(b + 6).

Square both sides of the equation to eliminate the square root:

(a)² = (√(b + 6))².

Simplify the right side of the equation:

a² = b + 6.

Subtract 6 from both sides of the equation to isolate "b":

a² - 6 = b.

So, the equation "a = √(b + 6)" can be rearranged as "b = a² - 6". This new equation allows us to calculate the value of "b" based on a given value of "a".

Hence, the equation is b = a^2 - 6.

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Answer:

true,true,false,false

Step-by-step explanation:

true it's the amount of decimal places

true: same with this true

false: if it was 10^5 then yes but it's not

false: there is one too many 10s

Answer:a rule that describes the relationship between the inputs and the outputs.

Step-by-step explanation:

Total 4 dummy variables would be needed to include this categorical variable in a regression model.

A regression analysis serves as the foundation for many types of forecasting and determining the effects on target variables. When you hear about studies in the news about fuel efficiency, pollution causes, or the effects of screen time on learning, a regression model is frequently used to back up their claims.

A dummy variable (also known as an indicator variable or simply dummy) in regression analysis is one that takes the values 0 or 1 to indicate the absence or presence of some classification impact that may be predicted to shift the result.

Total 4 dummy variables would be needed to include this categorical variable in a regression model.

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If the value of the car is depreciates 20% at the end of the first year and 12% at the end of every year after the first year, the value of the car after 3 years will be $15488

The cost of the car = $25000

The percentage of depreciate at the end of the first year = 20%

Then the new cost  will be

= 25000 - (25000×20/100)

= 25000 - 5000

= $20000

For the next two years the value will depreciates by 12%

Then the final value = \(20000(1-\frac{12}{100})^2\)

= 20000 × 0.7744

= $15488

Hence, the value of the car at the end of the third year is $15488

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Answer:

It will be 57-2.5h=32

This is because you're starting with 57 degrees. 2.5 is constant so that is why you need a variable for it.

Answer:

I would say 57 - 2.5h = 32

Step-by-step explanation:

Because the temperatures is dropping so that why we are subtracting and we don't no how many hours are theirs every time it drops for 2.5 that why we put the h with the 2.5

0.688 will be the probability of getting a nickel from the jar.

Given,

Probability;-

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The number of fortunate situations divided by the total number of coins would be the product between the probability of each occurrence and the likelihood of each event.

Therefore,

P(nickel) = 19/69

P(penny) = 17/68

That is,

P = 19/69 × 17/68

P = 323/4692

P = 0.0688

That is,

The probability of getting nickel from the jar is 0.06888

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Answer:

Step-by-step explanation:

Finding the answer to the second box is easy. Just look at where the line hits the y axis. That point is (0,5). Put a 5 in the second box.

-2

Now pick two points How about (0,5) and (2,1)

Givens

y2 = 5

y1 = 1

x2 = 0

x1 = 2

Formula

m = (y2 - y1) / (x2 - x1)

m = (5 - 1)/(0 - 2)

m = 4 / - 2

m = - 2

Answer

So the first box contains - 2

Answer:

90 cookies in each box

Step-by-step explanation:

360  : 4 = 90

To find the coefficients of the parabola that passes through the given points, we need to solve for a, b, and c using a system of equations.

First, let's substitute the coordinates of the points into the equation of the parabola:

y = ax²+ bx + c

When x=0, y=2:
2 =  a(0)²+ b(0) + c
2 = c

When x=1, y=8:
8 =  a(1)²+ b(1) + c
8 = a + b + c

When x=2, y=16:
16 = a(2)² + b(2) + c
16 = 4a + 2b + c

Now we have a system of three equations with three unknowns:

2 = c
8 = a + b + c
16 = 4a + 2b + c

Substituting c=2 into the second equation:

8 = a + b + 2
a + b = 6

Subtracting the second equation from the third equation:

16 - 8 = 4a + 2b + c - (a + b + c)
8 = 3a + b

Now we have two equations with two unknowns:

a + b = 6
3a + b = 8

Solving this system of equations gives us:

a = 3
b = 1
c = 2

Therefore, the correct answer is A: a=3, b=1, c=2.

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Answer:

Fourth choice, 19/30

Step-by-step explanation:

Add 38 and 22 together, it's 60

Out of 60 times, he flipped heads 38 times, so it's 38/60

Simplify 38/60 with 2, 19/30