Bo's sister Anna is 3/4 his age minus 1 year(s). She is 11 years old.

Answer:

$214

Step-by-step explanation:

200*0.07 = 14, 200 + 14 = 214

Answer:

 y  = 72x

324miles

Step-by-step explanation:

Given parameters:

      Speed of the car = 72miles/hr

       distance  = y

        time  = xhrs

Unknown:

Write a direct variation equation for the distance=  ?

Distance covered in 4.5hrs =?

Solution:

A. Write a direct variation equation for the distance;

    A direct variation is a linear equation.

   It often takes the form y = kx

For this problem;

      Distance  = speed x time

input the parameters;

      y  = 72x

The direct variation equation is  y  = 72x

B. Distance traveled in 4.5hrs

   y  = 72x

  x is the time taken;

  So;

        y  = 72 x 4.5  = 324miles

Answer:

6 is the answer pls mark me branilest

Answer:

y≤-7 or y≥-7

Step-by-step explanation:

It will depend on the shading of the graph but this graph is not shaded so either one of them will be your answer.

Answer:

x=100

Step-by-step explanation:

23+.10x=19+.14x

God bless!

Answer:

the squirrel needs to dig 12 holes.

Step-by-step explanation:

11 x 4 = 44, plus an extra hole for the one acorn left over.

Answer:

h(9)=15

Step-by-step explanation:

Given h(x)=2x-3, find h(9)

We are given the value of x which is 9.

Substitute 9 for x in the equation.

2(9)-3

Multiply 2 and 9 to get 18.

18-3

Subtract 3 from 18 to get 15.

have a nice day!

A study is designed to examine effect of exercise on knee pain, with measurements taken at 1, 3 and 6 weeks. The appropriate design would be C. two-way analysis of variance with one repeated measure.

A two-way mixed-design ANOVA with one repeated measure would be the best choice. This is so because exercise and time are the two variables being investigated. Exercise becomes a between-subjects factor when individuals are randomly assigned to circumstances that involve exercise or no exercise. The repetitive measure is due to the fact that each participant's measurements are collected after 1, 3, and 6 weeks, respectively.

The two-way ANOVA examines the primary impacts of time and exercise as well as their interactions. When there are both within-subjects and between-subjects variables, the mixed-design ANOVA is used. Because it combines autonomous and repetitive measures, it is known as a "mixed" measure. In this situation, leisure is the within-subjects component and exercise is the between-subjects factor.

Complete Question:

A study is designed to examine the effect of exercise (against no exercise) on knee pain, with measurements taken at 1 week, 3 weeks, and 6 weeks. Participants are randomly assigned to one of the exercise conditions. The appropriate design would be?

A. one-way repeated measures analysis of variance.

B. two-way analysis of variance.

C. two-way analysis of variance with one repeated measure.

D. one-way analysis of variance.

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ai) The trinomial that the algebra tiles represent is 2x² + 5x + 3.

aii) A sketch of an arrangement of the tiles to form a rectangle is shown below.

aiii) A factor of the trinomial is (2x + 3)(x + 1).

bi) The trinomial that the algebra tiles represent is 3x² + 10x + 8.

bii) A sketch of an arrangement of the tiles to form a rectangle is shown below.

biii) A factor of the trinomial is (3x + 4)(x + 2).

In this scenario and exercise, we can logically deduce that each of the yellow squares represent "x²" while the yellow vertical tiles represent "x" and the small yellow squares represent a constant term.

Part ai

2 yellow squares = 2x²

5 yellow vertical tiles = 5x

3 small yellow squares = 3

Therefore, the trinomial is 2x² + 5x + 3.

Part aii

Next, we would arrange the tiles based on the yellow squares and yellow vertical tiles as shown in the image below.

Part aiii

2x² + 5x + 3

2x² + 2x + 3x + 3

2x(x + 1) + 3(x + 1)

(2x + 3)(x + 1)

Part bi

3 yellow squares = 3x²

10 yellow vertical tiles = 10x

8 small yellow squares = 8

Therefore, the trinomial is 3x² + 10x + 8.

Part bii

Next, we would arrange the tiles based on the yellow squares and yellow vertical tiles as shown in the image below.

Part aiii

3x² + 10x + 8

3x² + 6x + 4x + 8

3x(x + 2) + 4(x + 2)

(3x + 4)(x + 2)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The given function is f(x) = (4-x)/29. We need to find the x-values where f is not continuous and determine whether the discontinuities are removable or nonremovable.

For this function, there are no nonremovable discontinuities. The only type of discontinuity that could occur is a removable discontinuity. This occurs when a point is undefined, but the limit exists and is finite. In other words, the function can be made continuous by redefining it at that point.

To find any possible removable discontinuities, we need to find the values of x for which the denominator becomes zero, because division by zero is undefined. The denominator is always 29, which is never zero, so there are no values of x for which the denominator is zero. Therefore, there are no removable discontinuities.

In conclusion, the function f(x) = (4-x)/29 is continuous for all values of x, and there are no removable or nonremovable discontinuities.

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The required probability is p(xS 2) =F(2).

Given that,

90% of the time, a novel surgical technique is deemed to be successful. Imagine that the technique is carried out five times. Count on the outcomes of each procedure being distinct from one another. in this application of the binomial distribution

BINOMDIST (2,5,90%, TRUE) is used to find the probability of 2 or fewer

to get 0.00856 because x =2 and n= 5 and TRUE indicates the cumulative

and the required probability is p(xS 2) =F(2)

Therefore, the required probability is p(xS 2) =F(2).

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Thus, m∠F =  33º for the corresponding angle measures for each similar triangle ΔABC and ΔDEF.

To start, we know that similar triangles have corresponding angles that are congruent. Therefore, we can set up the following proportion:

m∠BAC/m∠EDF = m∠BCA/m∠DFE

Substituting the given angle measures, we get:
(x² - 5x)/(4x + 36) = (4x - 5)/m∠F

To solve for m∠F, we need to isolate it on one side of the equation. First, we can cross-multiply to get:
(4x - 5)(4x + 36) = (x² - 5x)m∠F

Expanding the left side, we get:
16x² + 116x - 180 = (x² - 5x)m∠F

Next, we can divide both sides by (x² - 5x):
(16x² + 116x - 180)/(x² - 5x) = m∠F

Simplifying the left side, we get:
(4x + 29)/(x - 5) = m∠F

Therefore, m∠F = (4x + 29)/(x - 5).

To check our answer, we can plug in a value for x and find the corresponding angle measures for each triangle. For example, if x = 6:

m∠BAC = (6² - 5(6))º = 16º
m∠BCA = (4(6) - 5)º = 19º
m∠EDF = (4(6) + 36)º = 60º

Using our formula for m∠F, we get:
m∠F = (4(6) + 29)/(6 - 5) = 33º

We can see that this satisfies the proportion and therefore our answer is correct.

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Answer:

You have an obtuse, scalene triangle, so no :)

Step-by-step explanation:

Side a = 4

Side b = 9

Side c = 7

Angle ∠A = 25.209° = 25°12'32" = 0.43998 rad

Angle ∠B = 106.602° = 106°36'6" = 1.86055 rad

Angle ∠C = 48.19° = 48°11'23" = 0.84107 rad

Answer:

Triangle ABC is not a right-angle triangle.

Step-by-step explanation:

perimeter of the triangle: 20cm

AB=7cm and BC=4cm.

We can do the third length (AC) by subtracting the known lengths from the perimeter: 20 - 7 - 4 = 9

Therefore, the length AC is 9.If

ABC were a right angle triangle, we'd be able to use Pythagoras's Theorem to work out the length AC.

AC is the hypotenuse of the triangle because it is the longest length.

a2 + b2 = c242 + 72 = 16 + 49 = 65

Where AC = c, c2 = 65 If c = 9, then c2 = 81, however when using Pythagoras, c2 = 65.

I hope this helps. I am sorry if you get this wrong.

Using conversion from fraction to decimal and rational numbers, we have that:

7. The fraction that has a corresponding decimal greater than 1 is 4/3.

8. One rational number between 7 and 8 is given by option a, which is 7.83838383...

A fraction is converted to decimal dividing the numerator by the denominator.

In item 7, we consider fraction 4/3, for which:

Hence the corresponding decimal is given as follows:

4/3 = 1.333, which is the result of the division of 4 by 3, and is greater than 1.

The set of rational numbers is composed by all numbers that can be represented by fractions, such as integer, terminating decimals and repeating decimals.

In item 8, option a, we have the number 7.83, with the bar at 83. This means that 83 is the repeating decimal part, that is, the rational number is 7.83838383...

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Answer:

Step-by-step explanation:

The correct graph for the given scenario is shown in image.

We are multiplying a vector by a scalar and determining which quadrant the new vector belongs to:

A = z

B = -z

Since,  z is in the second quadrant ( x is negative and y is positive)

when we multiply by -1,   B is found by multiplying z by negative 1

The first coordinate of B, the x coordinate, is a negative value times a negative value which is positive.

The second coordinate of B, which is the y value, is a negative value times a positive value which is negative.

B is in the 4th quadrant ( x is positive, y is negative)

Therefore, This is the only graph that meets that requirement.

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Given:

Ratio of 40 centimeters to 2 metre.

To find:

The ratio in its simplest form.

Solution:

We know that,

1 m = 100 cm

2 m = 200 cm

We have, ratio of 40 centimeters to 2 metre.

\(Ratio=\dfrac{40\ cm}{2\ m}\)

\(Ratio=\dfrac{40\ cm}{200\ cm}\)

\(Ratio=\dfrac{40}{200}\)

\(Ratio=\dfrac{1}{5}\)

\(Ratio=1:5\)

Therefore, the required ratio in the simplified form is 1:5.

This expression will give you the probability of drawing exactly two blue marbles.

To find the probability that she draws exactly two blue marbles, we need to consider the probability of drawing two blue marbles and one red marble in any order.

Let's assume the probability of drawing a blue marble is denoted by "P(B)" and the probability of drawing a red marble is denoted by "P(R)". Since she replaces only the blue marbles, the probability of drawing a blue marble remains the same for each draw.

To calculate the probability of drawing exactly two blue marbles, we can use the binomial probability formula:

P(2 blue marbles) = C(3, 2) * (P(B))^2 * (P(R))^1

Where C(3, 2) is the number of ways to choose 2 items out of 3, given by the combination formula:

C(3, 2) = 3! / (2! * (3 - 2)!) = 3

Since the probability of drawing a blue marble remains the same for each draw, we can simplify the formula:

P(2 blue marbles) = 3 * (P(B))^2 * (P(R))^1

Now, substitute the actual values of P(B) and P(R) into the formula. For example, if the probability of drawing a blue marble is 0.4 and the probability of drawing a red marble is 0.6, the calculation would be:

P(2 blue marbles) = 3 * (0.4)^2 * (0.6)^1

Simplifying this expression will give you the probability of drawing exactly two blue marbles.

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Answer: x

=

7

y

z

+

1

2

y

+

−

1

4

Step-by-step explanation:

The 90% confidence interval is: (2.51, 3.22)

It is a boundary of values which is eventually to comprise a population value with a certain degree of confidence. It is usually shown as a percentage whereby a population means lies within the upper and lower limit of the provided confidence interval.

We have the following information :

The level of significance is calculated as:

\(\alpha =1-c\\\\\alpha =1-0.90\\\\\alpha =0.10\)

The degrees of freedom for the case is:

df = n - 1

df = 15 - 1

df = 14

The 90% confidence interval is calculated as:

=x(bar) ±\(t_\frac{\alpha }{2}\), df \(\frac{s}{\sqrt{n} }\)

= 2.86 ±\(t_\frac{0.10 }{2}\), 14 \(\frac{0.78}{\sqrt{15} }\)

= 2.86 ± 1.761 × \(\frac{0.78}{\sqrt{15} }\)

= 2.86 ± 0.3547

= (2.51, 3.22)

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Using proportions, it is found that the possible amounts that he will spend on candy are represented by the inequality \(c \leq 54\).

A proportion is a fraction of a total amount.

In this problem, each pound of candy costs $6, and he will buy at most 9 pounds, hence the maximum amount he will spend is given by:

M = $6 x 9 = $54.

Hence, the possible amounts that he will spend on candy are represented by the inequality \(c \leq 54\).

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Answer:im confused

im still confused

This is not a question do not post random things

The type directions that lie in the (110) plane are Crystal planes are equivalent planes that represent a group of crystal planes with a common set of atomic indexes.

Crystallographers use Miller indices to identify crystallographic planes. A crystal is a three-dimensional structure with a repeating pattern of atoms or ions.In a crystal, planes of atoms, ions, or molecules are stacked in a consistent, repeating pattern. Miller indices are a mathematical way of representing these crystal planes.

Miller indices are the inverses of the fractional intercepts of a crystal plane on the three axes of a Cartesian coordinate system.Let us now determine which of the type directions lie in the (110) plane.[101] is not in the (110) plane because it has an x-intercept of 1, a y-intercept of 0, and a z-intercept of 1. So, this direction does not lie in the (110) plane.[110] is in the (110) plane since it has an x-intercept of 1, a y-intercept of 1, and a z-intercept of 0.

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Answer:

c=82

Step-by-step explanation:

Answer:

The answer is 82!

Step-by-step explanation:

(18)^2 + (80)^2 is 6724, which has a square root of 82.

It is more likely that the distance across a circular field is the diameter rather than the circumference.

To determine whether the distance across a circular field is the diameter or the circumference, we can use some formulas that relate these parts of a circle. The formulas are:

Circumference = π * diameter

Diameter = 2 * radius

Radius = diameter / 2

If we plug in the given distance of 98.638 meters into these formulas, we can see which one gives a reasonable value for the other parts of the circle. For example, if we assume that the distance is the diameter, then we can find the radius and circumference as follows:

Radius = diameter / 2

Radius = 98.638 / 2

Radius = 49.319 meters

Circumference = π * diameter

Circumference = π * 98.638

Circumference ≈ 310.05 meters

These values seem reasonable for a circular field. However, if we assume that the distance is the circumference, then we can find the diameter and radius as follows:

Diameter = circumference / π

Diameter = 98.638 / π

Diameter ≈ 31.39 meters

Radius = diameter / 2

Radius = 31.39 / 2

Radius ≈ 15.695 meters

These values seem too small for a circular field. Therefore, it is more likely that the distance across a circular field is the diameter rather than the circumference.

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Complete question:

The distance across a circular field is 98.638 meters. Is it a diameter, a radius or a circumference?

1024 are different ways can she use the pens for the week  by probability.

What does "probability" mean in mathematics?

From the given condition,

     total number of  different ways  = 4⁵   ⇒ 1024

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Question:

Zach tries to solve an equation step by step;

\(\frac{3}{4} = z - \frac{1}{2}\)

Step 1:

\(\frac{3}{4} + \frac{1}{2} = z - \frac{1}{2} + \frac{1}{2}\)

Step 2:

\(\frac{3}{4} + \frac{1}{2} = z\)

\(\frac{5}{4} = z\)

Find Zach's mistake;

Answer:

Zach didn't make any mistake

Step-by-step explanation:

Given: the steps above

At step 1, he applied addition property of equality by adding \(\frac{1}{2}\) to both sides of the equation

Step 2 is a result of step 1 and he rightly added the fractions

Further Explanation;

\(\frac{3}{4} = z - \frac{1}{2}\)

Add \(\frac{1}{2}\) to both sides

\(\frac{3}{4} + \frac{1}{2} = z - \frac{1}{2} + \frac{1}{2}\)

\(\frac{3}{4} + \frac{1}{2} = z\)

Take LCM of fractions at the left hand side

\(\frac{3 + 2}{4} = z\)

\(\frac{5}{4} = z\)

Reorder

\(z = \frac{5}{4}\)

Analyzing the steps one after the other, we can conclude that Zach didn't make any mistake;

Answer:

C: Zach did not make a mistake

Step-by-step explanation:

SO IT NOT CONFUSING

+

GOT IT ON KHAN

(p.s. can u give me brainliest?)

The condition mentioned in the question is that 3% of the 167 people surveyed expressed dissatisfaction with the salesperson.

To assess customer experiences with auto dealers, a consumer group surveyed 167 people who recently bought new cars. Out of the 167 respondents, 3% expressed dissatisfaction with the salesperson. This condition tells us the proportion of dissatisfied customers in the sample.

To calculate the actual number of dissatisfied customers, we can multiply the sample size (167) by the proportion (3% or 0.03):

Number of dissatisfied customers = 167 * 0.03 = 5.01 (rounded to 5)

Therefore, based on the survey results, there were approximately 5 people who expressed dissatisfaction with the salesperson out of the 167 surveyed.

According to the survey of 167 people who recently bought new cars, approximately 3% (or 5 people) expressed dissatisfaction with the salesperson. This information provides insight into the customer experiences with auto dealers and highlights the need for further analysis and improvement in salesperson-customer interactions.

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Answer 200 for 9 and 125 for 7

Step-by-step explanation:

Answer:$17,000 invested into the 8% fund

$8,000 invested into the 8.5% fund

Step-by-step explanation:

Step-by-step explanation:

First, find the slope from the first 2 points, then use the value of the slope and either one of the first 2 points to find y in the 3rd point.

m = (8 - 4)/(3 - 1) = 4/2 = 2

2 = (y - 4)/(6 - 1)