Bill hikes 8 miles in 3 hours. At this rate. how many miles will he hike after 2 hours?

0.137606 the standard error of the average amount of coffee a stat 107 student drinks per day is greater than 12.7 oz.

Data dispersion in regard to the mean is quantified by a standard deviation, or "σ". Statisticians can assess if the data fits into a normal distribution or another mathematical connection using the standard deviation. The average, or mean, data point will be within one standard deviation of 68% of the data points if the data follow a normal curve.

Given that,

Standard deviation (σ) = 5.2 oz

mean (μ) = 10 oz

Number of students (n) = 120

As we know,

P ( z > 12.7 oz.) = P (z > [{x(avg.) - μ\(\sqrt{n}\)}/σ])

                        = P (z > [{12.7 - 10\(\sqrt{120}\)}/5.2])

                        = P (z > 1.86)

                        = 1 - P ( z < 1.86)

                        = 1 - 0.862394

                        = 0.137606

Thus, P( z > 12.7 oz.) = 0.137606

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Answer:

Step-by-step explanation:

-3≤ x = graph 6

-3 > x = graph 3

x≥ 3 = graph 2

x ≤ 3 = graph 4

3 > x = graph 1

x > 3 = graph 5

the closed circles means greater/less than or equal to

the open circle means greater/less than

the direction of the arrow tells you if the number is greater than x or less than x

Richard initially had 1 pound of grapes. Consequently, he ate 5/8 pound of grapes and kept 3/8 pound for himself.

Richard initially had a certain amount of grapes. After consuming 5/8 pound of grapes, he had 1 1/8 pounds left. To determine the amount of grapes he ate, we can subtract what he kept from the total amount he started with.

Let's denote the total weight of grapes Richard had as "x" pounds.Richard ate 5/8 pound of grapes, so the remaining amount he kept is (1 - 5/8) pounds, which simplifies to 3/8 pound. This means 3/8 pound is equal to 1 1/8 pounds.

To find out how many pounds of grapes Richard started with, we can set up a proportion

(3/8) pounds is to (1 1/8) pounds as x pounds is to the total weight of grapes

Simplifying the proportion, we get:

3/8 = 9/8 / x

Cross-multiplying gives us:

3x = 9/8

Multiplying both sides by 8/3 gives:

x = 3/8 * 8/3 = 1

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Answer: A

Step-by-step explanation: Pic is attached. Hope this helps.

Answer: one year = $17, 150

Four year = $68, 600

Amelia extimated expenses for one year to attend a four year university is given below

Tuition fee = $8, 500

Room and Board = $6, 700

Books and Supplies = $1, 250

Misc. Expenses = $700

Total estimate for a year = Tuition fee + Room and Board + Books and supplies + Misc. Expenses

Total Estimate expenses for a year = $8,500 + $6, 700 + $1, 250 + $700

Total estimate for a year = $ 17, 150

If total estimate for a year is $ 17, 150, therefore, the total estimate for four year is

Total estimate for four year = 4 x $17, 150

Total estimate for four years = $ 68, 600

The probability of selecting no Republicans is approximately 0.2102, or about 21.02%.

What is probability?

Probability is a measure of the likelihood of an event occurring.

There are a total of 22 members in the group, consisting of 10 Democrats, 9 Republicans, and 3 Independents.

To find the probability of selecting no Republicans, we need to consider the possible ways in which two members can be selected without any Republicans being chosen.

There are two cases to consider:

The first person selected is not a Republican, and the second person selected is also not a Republican.

The first person selected is a Republican, and the second person selected is not a Republican.

Case 1: The probability of selecting a non-Republican member on the first draw is (10 + 3)/22, since there are 10 Democrats and 3 Independents out of 22 members. After the first member is selected, there are 21 members left, including 9 Republicans. The probability of selecting another non-Republican member on the second draw is (10 + 3 - 1)/(22 - 1), since there is one fewer member in the group after the first draw. Therefore, the probability of selecting no Republicans in this case is:

(10 + 3)/22 * (10 + 3 - 1)/(22 - 1) = 13/77

Case 2: The probability of selecting a Republican member on the first draw is 9/22, since there are 9 Republicans out of 22 members. After the first member is selected, there are 21 members left, including 10 Democrats and 3 Independents. The probability of selecting a non-Republican member on the second draw is (10 + 3)/(22 - 1), since there is one fewer member in the group after the first draw and we cannot select the Republican member again. Therefore, the probability of selecting no Republicans in this case is:

9/22 * (10 + 3)/(22 - 1) = 27/418

The total probability of selecting no Republicans is the sum of the probabilities in the two cases:

13/77 + 27/418 = 0.2102 (rounded to four decimal places)

Therefore, the probability of selecting no Republicans is approximately 0.2102, or about 21.02%.

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Answer:

Yes, Uncle Sonny is correct.

Step-by-step explanation:

If two figures are related by a dilation, then corresponding lines or line segments in the figures will be congruent. In a dilation, the ratio of the lengths of corresponding lines or line segments remains constant, which means they will have the same length. Therefore, they are congruent.

Here is the answer

\(\\ \sf\longmapsto 8888+888+88+88+8+8+8+8+8+8\)

Similar Question .

Write 1000 using 8

Answer:-

888+88+8+8+8

Answer:

One of the options comes from this:

It means 10000 contains 1250 of 8's:

The 8's to make 10000 are:

Answer:

  we can use two ways to write 180° along with the inscribed angle theorem to obtain the desired relation

Step-by-step explanation:

Given ∆ABC inscribed in a circle O where E is the midpoint of arc BC and ED is a diameter, you want to prove ∠DEA = 1/2(∠B -∠C).

We can add add arcs to make 180° in two different ways, then equate the sums.

  arc EB +arc BA +arc AD = 180°

  arc EC +arc CA -arc AD = 180°

Equating these expressions for 180°, we have ...

  arc EB +arc BA +arc AD = arc EC +arc CA -arc AD

Recognizing that arc EB = arc EC, we can subtract (arc EB +arc BA -arc AD) from both sides to get ...

  2·arc AD = arc CA -arc BA

The inscribed angle theorem tells us ...

Making these substitutions into the above equation, we have ...

  4∠DEA = 2∠B -2∠C

Dividing by 4 gives the relation we're trying to prove:

  ∠DEA = 1/2(∠B -∠C)

The correct option is- A: (-1/2 , -√3/2) are the coordinates found using the terminal points t = 10pi/3.

On the unit circle, the terminal point. To find any terminal point on the unit circle which start at (1, 0), and determine the angle in degree or radian on the circle that travel counter clockwise whereas if angle is positive as well as clockwise if the angle is negative. The terminal point is the coordinate of the endpoint.

Given values:

t = 10pi/3

convert to degrees

t = 10*pi/3

t = 10*180/3

t = 600 degrees

Find quadrant of 600 degrees.

600 = 360+240

240 comes in III quadrant

Thus,  x-coordinate and y-coordinate are negative

Now,

240° = 180°+ 60°

60° is the angle for which terminal point are to be find.

Let ∅=60°

Consider unit circle

radius r = 1 units

Then,

x = -r*cos ∅

x = -cos 60

x = -(1/2)

And,

y = -r*sin ∅

y = -sin 60

y = -(√3)/2

Thus, the coordinates of the terminal point are found as  (-1/2 , -√3/2) by

t = 10pi/3.

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9514 1404 393

Answer:

  (0, 2, 6, 7)

Step-by-step explanation:

The range is the list of 2nd numbers in the ordered pairs:

  (0, 2, 6, 7)

The total area of all six sides that will be painted on the wooden cube is 96 square centimeters.

First, we need to understand that each cube has six faces or sides, which are all squares of the same size. When we paint the cube, we will be painting all six sides of it. Therefore, we need to find the total area of all six sides that will be painted.

To calculate the area of each side, we need to know the length of the side. You mentioned that the wooden blocks are cubes, so each side will have the same length. Let's say the length of each side is 4 cm.

Now, we can calculate the area of one side of the cube by squaring the length of the side. In this case, the area of one side will be:

Area of one side = (length of side)²

= (4 cm)²

= 16 cm²

Since there are six sides to each cube, we can find the total area of all six sides by multiplying the area of one side by six:

Total painted area = 6 x Area of one side

= 6 x 16 cm²

= 96 cm²

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The interest rate on the loan if, The borrowed or principal amount, P = $4200, The time, t = 5 years, and The simple interest, SI = $78.4 is 2.4%, so option B is correct.

When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.

Given:

The borrowed or principal amount, P = $4200,

The time, t = 5 year,

The simple interest, SI = $78.4 monthly, for 5 years = 78.4 × 60 = $4704,

Calculate the rate of interest as shown below,

SI = \(P\times r\times t / 100\)

4704 = 4200 × r × 5 / 100

21000 × r / 100 = 4704

r / 100 = 4704 / 21000

r = 0.224 × 100

r = 2.4%

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Answer:

Step-by-step explanation:

Question

N

m

4

5

4

U

-

3-

Cu v

-5-4-3-2-1

2

-2

1 w

60

r

2345x

What is the domain of the function on the graph?

O all real numbers

O all real numbers greater than or equal to-2

O all real numbers greater than or equal to-5

O all real numbers greater than or equal to 0

Help please

Answer:

25

Step-by-step explanation:

25 goes into 100 4 times, 25 goes into 25 once  i think not sure

Answer:

5 × 2= 10

5 × 4=20

5 × 5=25

5 × 10=50

5+5+5+5=20

there your answer

Step-by-step explanation:

you slow -_-

Answer : 5 x 4 (Option C)

Step-by-step explanation :  5 + 5 + 5 + 5 = 20

                                            By trial & error method, we get

                    5 x 2 = 10 ≠ 20

                    5 x 4 = 20

                    5 x 5 = 25 ≠ 20

                    5 x 10 = 50 ≠ 20

Hence 5 x 4 is the right answer

You can either follow the trial & error method or the following method !!

5 + 5 + 5 + 5 has ' 4 ' fives

Hence, 5 + 5 + 5 + 5 = 5 (since it is the no) x 4 (since it is the no of times 5 is repeating)

Hence 5 x 4 is the right answer

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The entire area is under the standard normal distribution curve, which is 1 by definition.

In other words, a typical normal random variable has a 100% chance of landing anywhere within its range of potential values (-∞ to +∞).

This makes sense since the area under the standard normal distribution curve, which is a continuous probability distribution, shows the likelihood that the random variable will take on any value within its range. Since the entire area under the curve is 1, the likelihood that any potential value for the random variable will occur is 1, or 100%.

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Answer:

the answer is 11

A. True.

In a two-column proof, the left column consists of statements, which are the facts or assumptions that lead to the proof of the theorem, while the right column consists of the reasons or justifications that explain how each statement logically follows from the previous one. Therefore, the left column states your reasons is a true statement.

The answer to the student's question is True. In a two-column proof, the left column contains the statements (steps) and the right column contains the corresponding reasons (justifications).

The answer to the question, 'True or false? In a two-column proof, the left column states your reasons', is A. True.

A two-column proof is organized into two columns. The left column contains the 'Statements' and the right column contains the corresponding 'Reasons'. The 'Statements' are the steps that lead to the conclusion of the proof, while the 'Reasons' justify each of those steps according to rules or laws of mathematics.

For example, if we want to prove that the opposite angles of a parallelogram are equal. The left column (Statements) could contain the first step 'ABCD is a parallelogram' and the right column (Reasons) would give the explanation 'Given'. Therefore, in a two-column proof, the left column does represent statements, not reasons.

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Answer:

-8

Step-by-step explanation:

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

            = ( f-4) / (-8 - -6)      =  6

                  (f-4) / -2    = 6

                    f-4 = -12

                     f = - 8

Answer:

f = -8

Explanation:

Find slope:

\(\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points\)

Here given:

Inserting into slope formula:

\(\sf \rightarrow \dfrac{4-f}{-6-(-8) } = 6\)

\(\sf \rightarrow \dfrac{4-f}{2 } = 6\)

\(\sf \rightarrow 4-f = 12\)

\(\sf \rightarrow -f = 12-4\)

\(\sf \rightarrow -f =8\)

\(\sf \rightarrow f =-8\)

Answer: x=45

Equation: 4.5x + 155=357.5

Step-by-step explanation: …

The Vertex is : (-6, -30)

The X-intercepts are : Approximately (-10.89, 0) and (-1.11, 0)

The Y-intercept is : (0, 6)

The Axis of symmetry is : x = -6

The functions Domain: is All real numbers

The Range is : All real numbers greater than or equal to -30.

To sketch the graph of the quadratic function \(f(x) = x^2 + 12x + 6,\) we can start by identifying the vertex, x-intercepts, y-intercept, axis of symmetry, domain, and range.

To find the vertex, we can use the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic equation in standard form\((ax^2 + bx + c).\)

In this case, a = 1, b = 12, and c = 6.

Applying the formula, we get x = -12/(2 \(\times\) 1) = -6.

To find the y-coordinate of the vertex, we substitute this x-value into the equation:\(f(-6) = (-6)^2 + 12(-6) + 6 = 36 - 72 + 6 = -30.\)

So, the vertex is (-6, -30).

To determine the x-intercepts, we set f(x) = 0 and solve for x. In this case, we need to solve the quadratic equation \(x^2 + 12x + 6 = 0.\)

Using factoring, completing the square, or the quadratic formula, we find that the solutions are not rational.

Let's approximate them using decimal values: x ≈ -10.89 and x ≈ -1.11. Therefore, the x-intercepts are approximately (-10.89, 0) and (-1.11, 0).

The y-intercept is obtained by substituting x = 0 into the equation: \(f(0) = 0^2 + 12(0) + 6 = 6.\)

Thus, the y-intercept is (0, 6).

The axis of symmetry is the vertical line that passes through the vertex. In this case, it is the line x = -6.

The domain of the function is all real numbers since there are no restrictions on the possible input values of x.

To determine the range, we can observe that the coefficient of the \(x^2\) term is positive (1), indicating that the parabola opens upward.

Therefore, the minimum point of the parabola occurs at the vertex, (-6, -30).

As a result, the range of the function is all real numbers greater than or equal to -30.

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Answer:

2.388,16

Step-by-step explanation:

Answer:

f(- 10) = 150

Step-by-step explanation:

f(- 10) with t = - 10 corresponds to t ≤ - 10 with f(t) = t² - 5t , then

f(- 10) = (- 10)² - 5(- 10) = 100 + 50 = 150

for t=-10

So

f(-10)

9514 1404 393

Answer:

  b.  255.5 to 499.5

Step-by-step explanation:

The middle 50% is the range between the first and third quartiles. In this group of 9 numbers, the first quartile is the average of numbers 2 and 3 when the numbers are listed from smallest to largest.

  first quartile = (230 +281)/2 = 255.5 . . . . . . matches answer choice B

The third quartile is the average of numbers 7 and 8:

  third quartile = (468 +531)/2 = 499.5 . . . . .  also matches answer choice B

The middle 50% is 255.5 to 499.5.

_____

When I put the numbers in order, I get ...

  198 230 ^ 281 246 376 426 468 ^ 531 540

^ indicates that the quartile here is the average of the adjacent numbers

bold indicates the median (2nd quartile)

The expression can be completed as 4 × (4 + 3)

A mathematical expression is a combination of numbers, symbols, and operations that represent a mathematical relationship or calculation.

Mathematical expressions can be used to represent a wide range of concepts, including algebraic equations, geometric formulas, and statistical models.

Looking at the pages:

On page 2, we have 4 stickers per row while on page 3 we have 3 stickers per row. Also, both page 2 and page 3 have 4 rows each. Thus, we can complete the expression as follows:

4 × (4 + 3)

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It's A I'm 100% suee

Answer:

The pair of complementary angles is A (BEA and CEB)

Step-by-step explanation:

Complementary angles are two angles beside each other that add up to 90 degrees. Basically, a 90 degree angle is split in 2.