A plastic boulder was launched from a second-floor window, using a catapult. The function below represents the height of the
plastic boulder from the ground, h(t), in feet, over time, t, in seconds.
h(t) = -2x² + 2x + 40
How many seconds did it take for the plastic boulder to hit the ground?

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Highest speed measured = 71.3 Mbps

Mean speed (x) = 18.29 Mbps

Standard deviation (s) = 20.59

a.) What is the difference between​ carrier's highest data speed and the mean of all 50 data​ speeds?

(71.3 - 18.29) Mbps = 53.01 Mbps

b. How many standard deviations is that​ [the difference found in part​ (a)]?

53.01 / 20.59 = 2.57

c. Convert the​ carrier's highest data speed to a z score.

Zscore = (score - mean) / standard deviation

Zscore = (71.3 - 18.29) / 20.59

Zscore = 2.57

d. If we consider data speeds that convert to z scores between -2 and 2 to be neither significantly low nor significantly​ high, is the​ carrier's highest data speed​ significant?

Yes, this highest speed is significant as it's Zscore is higher than 2 (2.57).

Answer:

e. obtaining data with a small p-value.

Step-by-step explanation:

In the null hypothesis, we test if the mean respects certain condition, and on the alternate hypothesis, we test the opposite of the null hypothesis.

The decision depends on the pvalue:

If the pvalue is smaller than the level of significance, that is, the pvalue has small values, the null hypothesis is rejected, that is, it is strong evidence against the null hypothesis. Large pvalues do not give evidence against the null hypothesis.

So the correct answer is given by option e.

Answer:

10m×1.5m=15m squared total area of the wall

15×100=1500

1500÷200=7.5 bricks would be needed for that wall.

Answer:

Step-by-step explanation:

15% of 20 is 3

Answer: It is a reflection of Reflections of You (second location) in the x-axis.

Step-by-step explanation: Based on the given information, the relationship between the new location (The Gridiron) and the previous locations can be determined.

The correct answer is:

   It is a reflection of Reflections of You (second location) in the x-axis.

The coordinates of the first three checkpoints of The Gridiron (A''(0,−5), B''(9,−5), and C''(4,−5)) indicate that they have the same y-coordinate (-5) as the corresponding checkpoints in the second location, Reflections of You. However, there is no indication of a reflection in the y-axis or any transformation related to the first location, Transformation Fitness Studios. Therefore, the correct answer is that The Gridiron is a reflection of Reflections of You in the x-axis.

g(x) = -2√x + 8 is the function that has the same range as f(x) = -2√(x - 3) + 8. Both functions have the range of y ≤ 8

The function that has the same range as f(x) = -2√(x - 3) + 8 is g(x) = -2√x + 8. Both functions have the range of y ≤ 8.There are a few steps involved in determining which function has the same range as f(x) = -2√(x - 3) + 8. The range of a function refers to all the possible output values that the function can produce.Let's begin by examining the original function:f(x) = -2√(x - 3) + 8The square root symbol (√) implies that x-3 must be greater than or equal to 0. If x-3 is negative, then the function would produce an imaginary result.

Let's solve for x when f(x) = 0:0 = -2√(x - 3) + 8-8 = -2√(x - 3)4 = √(x - 3)16 = x - 3x = 19This tells us that the x-value that produces an output of 0 is x = 19. To determine the range, we need to find the maximum and minimum output values. We can use a graphing calculator or sketch a graph to determine the shape of the function and the range.The shape of the function suggests that the range is y ≤ 8, which means that the maximum value of the function is 8. This tells us that any function with the same maximum output value of 8 will have the same range as f(x).

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Answer:

B. )The graph of g(x) is a translation of the graph of f(x) right 6 units.

Step-by-step explanation:

When a positive number is directly added to an "x" variable (usually inside of parentheses), the graph is shifted to the left that many units.

When a negative number is directly added to an "x" variable, the graph is shifted to the right that many units.

A graph shifts up or down when a positive or negative number is added to the overall function. For example, if the -6 were outside of the parentheses, the graph would be translated 6 units downwards.

Answer: yes because each pair has two identical triangles which makes it congruent.

Step-by-step explanation:

hope this helps

Answer:

Pair 1

Pair 2

Pair 3

Answer:

  (x, y) = (4, -9)

Step-by-step explanation:

You want to solve this system of equations by elimination:

The coefficients of x are not integer multiples of each other, but the coefficient of y in the first equation is 4 times the coefficient in the second equation. To eliminate y, we can multiply the second equation by -4 and add the result to the first equation:

  (-8x -4y) -4(-5x -y) = (4) -4(-11)

  12x = 48

  x = 4

Using the second equation to find y, we have ...

  -5x +11 = y

  -5(4) +11 = -9 = y

The solution is (x, y) = (4, -9).

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Unbiased estimators are statistical estimators that give an estimate of a population parameter that is equal to the true population parameter on average, regardless of the sample size.

The analysis suggests that the process Î 3 is more efficient than Î 1 and Î 2 when considered separately. However, when combined, the processes Î 1/2 and Î 2/2 are less efficient.

(a) To find out if Î 3=Î 1+Î 22 is unbiased, we must compute its anticipated value and contrast it with Î.

If Î 1 and Î 2 are unrelated and unbiased, E(Î 3) = E(Î 1 + Î 22) = E(Î 1) + E(Î 22) = Î + Î = 2Î

E(Î3) is biased as it does not equal Î.

(b) The formula for the variance of a linear combination of random variables can be used to assess if Î3 is more effective than Î1 and Î2.

Var(Î 3) is equal to Var(Î 1) plus 2Cov(Î 1, Î 2) plus Var(Î 2)/4.

Var(Î 1) = Var(Î 2) and Cov(Î 1, Î 2) = 0 result in:

Var(^θ3) = 5/4

Var(^θ1)

Var(Î 1) > 4/5Var(Î ), meaning that Î 3 is more effective than Î 1 and Î 2. If not, Î1 is more effective.

(c) If Var(Î1|Î2|Î3] Var(Î1|Î3]), then Î2 is more effective than Î1. Assume that Î1 and Î2 are equal and that Var(Î1) Var(Î2) independent. To calculate the variance of Î3, we can use the following formula for the variance of a linear combination of random variables:

As Î1 and Î2 are independent, Var(Î 3) = Var(Î 1) + 2Cov(Î1, Î2) + Var(Î2)/4 = Var(Î1) + 0 + Var(Î2)/4.

Var(Î 1) + Var(Î 2) = 4 and (Var(Î 1) + Var(Î 2)) = 2

As a result, Ï 3 is more effective than Î 1 and Î 2 taken separately, but not as effective as Î 2/2 and Î 1/2 taken together.

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Given the equation

Step 1

Open brackets by multiplying the terms in the brackets by the outer factors.

Step 2

Collect like terms.

Step 3

Multiply both sides by 5, to remove the fraction.

Step 4

Divide both sides by the coefficient of x.

Hence, the solution to the equation is

Answer:

y = 1.33x

Step-by-step explanation:

the cost of any quantity will be 1.33 times the quantity bought x , then

y = 1.33x ← y is the total cost for any quantity

The requried hours spent babysitting and tutoring are 5 and 8 hours respectively.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let the hours spent babysitting and tutoring be x and y respectively,
According to the quesiton,

Mark gets paid $6 per hour for babysitting and $15 an hour for tutoring. He makes $150 in one week.
6x + 15y = 150 - - - -(1)

John Makes $10 an hour babysitting and $8 an hour tutoring and gets paid a total of $114.
10x + 8y = 114 - - - - -(2)

Solving above equations 1 and 2 by elimination method we get x = 5 and y = 8

Thus, the requried hours spent for babysitting and tutoring are 5 and 8 hours respectively.

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Answer:

c

Step-by-step explanation:

166% is also equal to 1.66 as a decimal. 1 2/3 as a decimal is 1.6666 repeating. It can't be 166% because they are equal.

7/3 is equal to 2 1/3. Without converting it to a decimal, you already know 2 is bigger than 1, so option c is your answer.

Answer:

C.

Step-by-step explanation:

7/3 = 2.3 > 1 2/3

Answer:

I think the answer is 2

x=1

Step-by-step explanation:

2x=2x

divide

x=1

plug it in

1×2

Answer:

Step-by-step explanation:

option (d) 4hrs 40mins

Answer:

-71

Step-by-step explanation:

Answer:

r=-71

Step-by-step explanation:

Answer:

Distributive property says that:

(A + B)*C = A*C + B*C

Now let's try to use it in our expression:

3 + 5*c*(2 + 6*c)

Here we can take the two terms inside the parentheses as A and B, and the term that multiplies them as C, then distributing we get:

3 + (5*c)*2 + (5*c)*(6*c)

Now remember that the multiplications are associative and commutative, then we can write this as:

3 + (2*5)*c + (5*6)*(c*c)

3 + 10*c + 30*c^2

And we can't simplify it anymore.

The fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

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Answer:

i believe the answer is A

Step-by-step explanation:

Answer:  It is the ratio of the amounts y and x: k = y/x. Put another way: y = kx. Example: you are paid $20 an hour. The constant of proportionality is 20 because: Pay = 20 × Hours worked.

The given options, the only value greater than 1 is 1.003. Therefore 0.886, which is less than 1 and makes the inequality true.

The given number sentence is 5.3 × > 5.3, where we need to find the scaling factor that makes the inequality true. To do this, we can divide both sides of the inequality by 5.3. This gives us:

5.3 × x > 5.3 ÷ 5.3 × k

We need to find the value of k that makes the inequality true. Simplifying the right-hand side of the equation, we get:

5.3 ÷ 5.3 × k = k × 1 = k

Substituting this into our equation, we get:

5.3 × x > k

We know that 5.3 × 1 = 5.3, which means that k must be greater than 1 to satisfy the inequality. Among the given options, the only value greater than 1 is 1.003. However, this value would make the inequality too large, so it is not the correct answer.

The correct answer is therefore 0.886, which is less than 1 and makes the inequality true.

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The distance the ball drops in the next 8 seconds is 320 meters.

Direct proportion is when two variables move in the same direction. If one variable increases, the other variable increases.

The equation that is used to represent direct proportion is: D = kt²

Where: k is the constant of variation

80 = k4²

80 = 16k

k = 80 / 16

k = 5

Distance the ball drops in the next 8 seconds : 5 x 8²

= 64 x 5 = 320 meters

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Answer:

300-20w=?

150+10w=?

Step-by-step explanation:

Answer:

Step-by-step explanation:

320

Given:

u and v are parallel lines.

To find:

The value of x.

Solution:

If a transversal line intersect the two parallel lines, then

(1) Corresponding angles are congruent.

(2) Same sides interior angles are supplementary angles and their sum is 180 degrees.

15.

\(23x-2=90\)           (Corresponding angles)

\(23x=90+2\)

\(x=\dfrac{92}{23}\)

\(x=4\)

Therefore, the value of x is 4.

16.

\((x+106)+(x+86)=180\)         (Same sided interior angles)

\(2x+192=180\)

\(2x=180-192\)

\(2x=-12\)

Divide both sides by 2.

\(x=\dfrac{-12}{2}\)

\(x=-6\)

Therefore, the value of x is -6.

Step-by-step explanation:

Given: To make smallest 3-digit number of 825.

To find: The smallest 3-digit number of 825.

Solution: We can make the smallest 3-digit number of 825 by separating the numbers and arranging it to ascending order. The given number is 825. ...

Final answer: The smallest 3-digit number of 825 is 258.

hope it helps

Answer:

258

Step-by-step explanation:

We are given 3 numbers:

8 2 5

And we are asked to find the smallest 3 digit number using those 3 digits above.

To make the smallest number, place the numbers in value from least to greatest:

2 5 8

This is your 3 digit number: 258.

Hope this helps! :)

The correct ratio to represent the ratio of cars to airplanes is 3:2

The correct ratio to represent the ratio of cars to airplanes in Alex's collection is 12:8.

To determine the ratio, we compare the number of cars to the number of airplanes. Since there are 12 model cars and 8 model airplanes, we express this ratio as 12:8.

The ratio of 12:8 can be simplified by dividing both numbers by their greatest common divisor, which is 4. Dividing 12 by 4 gives us 3, and dividing 8 by 4 gives us 2.

Therefore, the simplified ratio of cars to airplanes is 3:2.

Hence, the correct ratio to represent the ratio of cars to airplanes is 3:2.

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f(x) = 3/x+2 - √x - 3

f(3) = 3/3 + 2 - √3 - 3

f(3) = 3/3 + 2 - √0

f(3) = 3/5 - 0

f(3) = 3/5

You can let x be any value of your choice.

Answer:

9 hours

Steps:

3x + 20 = 47

3x = 27

x = 9

Step-by-step explanation:

The starting temperature is 20°F, and it rises 3° every hour.

We know in x hours, the temperature will be 47°F.

So our equation is 3x + 20 = 47

Since the temperature is already 20°, we will subtract 20 from 47, leaving us with 27.

What number, multiplied by 3, is 27?

9.

Therefore, we know in 9 hours, the temperature will be 47°F.

Hope this helped :)