Here is some information about 26 houses. A,b and c are all different numbers. Number of bedrooms:1,2,3,4,5. Number of houses:7,a,b,c,8. The median number of bedrooms is 3. 5 Work out a possible set of values for a,b and c

Answer:

B.) \(6^{\frac{1}{2}}\)

Step-by-step explanation:

Use the exponent rule that states \(a^{\frac{1}{m}}=\sqrt[m]{a}\).  For this problem, let

a=6

m=2

So,

\(\sqrt6=6^{\frac{1}{2}}\)

The required numbers for the given case are 3 and 7 respectively.

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

As per the given data the problem can be solved as follows,

Suppose the first number be x and the second be y.

Now, the equations can be formed as,

x + 3y = 24             (1)

5x + 3y = 36           (2)

Solve these equations by multiplying equation (1) by 5 and then subtract from (2) as below,

5x + 3y - 5(x + 3y) = 36 - 5 × 24

3y - 15y = -84

=> -12y = -84

=> y = 7

Substitute y = 7 in equation (1) to get,

x + 3 × 7 = 24

=> x = 3

Hence, the numbers for the given problem are 3 and 7 respectively.

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Answer:

2070

Step-by-step explanation:

Multiply 230 people by 9 ferries, if each ferry is used once.

The probability that either doubles are rolled or the sum of the dice is 10 is 2/9.

What is probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of

Total possible outcomes= 36

Probability that either doubles are rolled or the sum of the dice is 10

= 6 (doubles) + 2 (sum is 10, without double (5,5))

=8

P( either doubles are rolled or the sum of the dice is 10)= 8/36

                                                                                           = 2/9

Thus, probability that either doubles are rolled or the sum of the dice is 10 is 2/9.

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The radius of the circle with given arc length and central angle is approximately 2.39 units.

To determine the radius of a circle whose arc length measures meters and central angle measures radians, we use the formula given by; Formula:

r = (Arc Length/ Central Angle)

Where r is the radius of the circle, L is the arc length and θ is the central angle.

Substituting the given values, we have:

r = L/θ = 30/4π ≈ 2.39

The radius of the circle with given arc length and central angle is approximately 2.39 units.

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Answer:

Step-by-step explanation:

Convert the given amount to the given unit.

6 yd; ft

Answer:

-5/11

Step-by-step explanation:

-2x-5=9x

-5=11x

x=-5/11

The percentage of the scores that are between 75.8 and 89 is; 95%

We are given;

Population mean; μ

Standard deviation; σ = 3.3

Thus;

z-score for a mean score of 75.8 is;

z = (75.8 - 82.4)/3.3

z = -2

z-score for a mean score of 89 is;

z = (89 - 82.4)/3.3

z = 2

From online p-value from z-score calculator, the p-value between both z-scores is;

p-value = 0.9545 = 95.45%

Approximating to the nearest percent = 95%

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Answer:

95

Step-by-step explanation:

it is

Answer:

22

Step-by-step explanation:

3!(3)^2-5

3÷9-5

37-5=22

The correct inequality that represents the given graph is "x greater-than-or-equal-to negative 53."

The inequality represented by the given graph is "x greater-than-or-equal-to negative 53."

In the graph, there is a closed circle at negative 53 on the number line. This indicates that the value -53 is included in the solution set. Additionally, everything to the right of the closed circle is shaded, indicating that all values greater than -53 are also part of the solution.

The symbol ">" represents "greater than," and the symbol "≥" represents "greater than or equal to."

Since the closed circle is at -53, which is included in the shaded region, we use the "greater than or equal to" symbol to indicate that the values greater than or equal to -53 satisfy the inequality.

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Answer:

its d

Step-by-step explanation:

Answer:

its would cost 79 dollars have a good day

Step-by-step explanation:

Answer:

Step-by-step explanation:

3.16 x 6 = 18.96

3.16 divided by 4 =0.79

18.96 + 0.79= 19.75

19.75 to buy 25 toy cars

Hope it helps!

Based on this data, for every inch in height, the arm span increases by 1.1 inches.

Here, we have,

I put the height of people on the x-axis because this is what I am trying to correlate the arm span to. I put the arm span on the y-axis because it is dependent on height.

I used point (60,61) and (70,72) to draw the line of best fit and to get the equation. First, to get the slope I would use the slope formula of m = 72-61/70-60 or 11/10 to get a slope of approximately 1.1. Then I used (60,61) to get the rest of the equation by plugging it in: y-61 = 1.1(x -60). This becomes y-61 = 1.1x - 66. Add 61 to both sides and the final equation is y = 1.1x – 5.

The slope represents the rate of change arm span based on height. The y intercept is the arm span.

Using points (66,68) and points (70,72) I plug each into the equation y=1.1x-5 to figure each out based on the difference from the actual points and get .4 for (66,68) and 0 for point (70,72) so I would say, based on .4 and 0 for these two points that this is a good line of best fit.

Based on this data, for every inch in height, the arm span increases by 1.1 inches.

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complete question:

There are many measurements of the human body that are positively correlated. For example, the length of one's forearm (measured from elbow to wrist) is approximately the same length as the foot (measured from heel to toe). They are positively correlated because, as one measurement increases, so does the other measurement.

Answer:

234556678

Step-by-step explanation:

Answer:

C - 7315

Step-by-step explanation:

Using the combination formula.

22! / (4!(22-4)!) = 7315

Combination is like saying I want meat-cheese-lettuce-tomato and this is the same as cheese-meat-tomato-lettuce. (same toppings, different order)

Answer:

The actual answer is C

Step-by-step explanation:

The object distance is 0, which implies that the object is at the focus of the concave mirror.

For a concave mirror, the magnification is given by the formula:

m = -di/do

where m is the magnification, di is the image distance, and do is the object distance. Since we are given that the magnification is -2.0, we can write:

-2.0 = -di/do

Simplifying this expression, we get:

di = 2do

We can also use the mirror formula for a concave mirror:

1/f = 1/do + 1/di

where f is the focal length of the mirror. Substituting di = 2do and f = -16 cm (since the mirror is concave), we get:

1/-16 = 1/do + 1/(2do)

Multiplying both sides by -16do, we get:

do - 2f = -32

Substituting f = -16 cm, we get:

do - (-32) = -32 + 32

do = 0

This means that the object distance is 0, which implies that the object is at the focus of the concave mirror. This is a valid result, since a concave mirror can form a real, inverted image for an object placed at a distance equal to its focal length. In this case, the magnification would be -1, not -2. So, it is not possible to have a magnification of -2 for an object distance in front of a concave mirror with a focal length of 16 cm.

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Sample space is the total number of possible outcomes from a given set.

The sample space S for this event is

S = {ABC, ABD, ACD, BCD}

Option A is the correct answer.

It is the total number of possible outcomes from a given set.

We have,

Ariana, Boris, Cecile, and Diego are students in the service club.

Three of the four students will be chosen to attend a conference.

Now,

The number of combinations can be found using the combination formula.

\(^4C_3\) = 4

Now,

ABCD

= (ABC) (ABD) (ACD) (BCD)

Thus,

The sample space S for this event is

S = {ABC, ABD, ACD, BCD}

Option A is the correct answer.

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Answer:

its A

Step-by-step explanation:

I did it on edge 2023 and got it right

Answer:

B. 34 1/5

Step-by-step explanation:

have a good day!

Answer: (a) The equation 2x^2 + 4x + 3 = k has real roots if and only if its discriminant, which is 4^2 - 4(2)(3), is nonnegative. The discriminant is equal to 0, so the equation has real roots if and only if k = 3.

(b) For the equation f(x) = kx^2 + kx + 1 to have real roots, its discriminant, which is 1 - 4k, must be nonnegative. This gives us k >= 1/4. The range of values of k for which the equation has real roots is k >= 1/4.

(c) When k = -2, the equation f(x) = -2x^2 - 2x + 1 = 0. Solving this equation using the quadratic formula, we get x = (-1 ± √(1 + 8))/4. So, the roots are x = (-1 ± √(9))/4 = (-1 ± 3)/4 = 1/2, -2.

Answer:

(-4/5)x= -26-2

(-4/5)x= -28

x= -28/1÷ -4/5

x= -28/1 ×5/-4

x= -7/5 or -1.7

a. The probability that a male spent less than $229 online before deciding to visit a store is approximately 1.5%.

b. The probability that a male spent between $298 and $320 online before deciding to visit a store is approximately 6.6%.

c. 80% of the amounts spent online by a male before deciding to visit a store are less than approximately $285.598.

We have,

a. To find the probability that a male spent less than $229 online before deciding to visit a store, we need to calculate the cumulative probability.

Using the normal distribution with a mean of $270 and a standard deviation of $19, we can calculate:

P(X < $229) = P(Z < (229 - 270) / 19) = P(Z < -2.158) ≈ 0.015

Therefore, the probability that a male spent less than $229 online before deciding to visit a store is approximately 0.015, or 1.5%.

b. To find the probability that a male spent between $298 and $320 online before deciding to visit a store, we can calculate the difference between the cumulative probabilities for each value.

Using the normal distribution, we have:

P($298 < X < $320) = P(X < $320) - P(X < $298)

= P(Z < (320 - 270) / 19) - P(Z < (298 - 270) / 19)

= P(Z < 2.632) - P(Z < 1.474)

≈ 0.995 - 0.929

≈ 0.066

Therefore, the probability that a male spent between $298 and $320 online before deciding to visit a store is approximately 0.066, or 6.6%.

c. To find the value below which 80% of the amounts spent online by a male before deciding to visit a store fall, we can use the inverse cumulative distribution function (also known as the Z-score).

We need to find the Z-score corresponding to the cumulative probability of 0.8:

Z = invNorm(0.8) ≈ 0.842

Now, we can use the Z-score formula to find the corresponding value:

X = mean + Z x standard deviation

= $270 + 0.842 * $19

≈ $285.598

Therefore, 80% of the amounts spent online by a male before deciding to visit a store is less than approximately $285.598.

Thus,

a. The probability that a male spent less than $229 online before deciding to visit a store is approximately 1.5%.

b. The probability that a male spent between $298 and $320 online before deciding to visit a store is approximately 6.6%.

c. 80% of the amounts spent online by a male before deciding to visit a store are less than approximately $285.598.

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Answer:

Step-by-step explanation:

1/2x - y = 8

1/2x = 8 + y

2(1/2x = 8 + y)

x = 16 + 2y

Algebraic notation is a method for recording and describing the moves in a game of chess. It is based on a system of coordinates to uniquely identify each square on the chessboard.

When x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

In the given question, we have to find what is remainder when x^3+2x^2+x+1 is divided by (x+1).

To find the remainder there are two ways. First we divide the x^3+2x^2+x+1 by (x+1). Second we find the value of from (x+1) by equating (x+1) equal to zero. The put the value of x in the expression x^3+2x^2+x+1.

In this we ca easily find the remainder.

Now we firstly find the value of x;

(x+1) = 0

Subtract 1 on both side we get;

x= −1

Now put x= -1 in the expression x^3+2x^2+x+1.

x^3+2x^2+x+1 = (−1)^3+2(−1)^2+(−1)+1

x^3+2x^2+x+1 = −1+2−1+1

x^3+2x^2+x+1 = 1

Hence, when x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

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The right question is:

What is remainder when x^3+2x^2+x+1 is divided by (x+1)?

In the given graph, the independent variables represent those factors that are manipulated by the researcher. On the other hand, the dependent variable represents the effect of the independent variable(s).Let's first understand the given graph - it shows data from the light-colored soil enclosure.

There is one dependent variable and more than one independent variable on the graph. Based on this information, it can be concluded that the graph represents the result of an experiment where multiple factors were tested to observe their impact on the dependent variable. Now, coming to the question, we need to identify the independent variables from the graph. Unfortunately, the graph is not available here to analyze and provide an accurate answer. Suppose the experiment aimed to study the effect of different factors on the growth of plants in light-colored soil. Some independent variables that could be manipulated by the researcher are:

Amount of water provided to the plants Type of fertilizer used for the soil Temperature of the enclosure Humidity level inside the enclosure Intensity and duration of light exposure. Amount of water provided to the plants, type of fertilizer used for the soil, temperature of the enclosure, humidity level inside the enclosure, intensity, and duration of light exposure.

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Answer:

Step-by-step explanation:

w is the independent

b is the dependent

Think of it this way: the number of birdhouses depends on the amount of wood available.

We are given matrices A, B, and C and asked to find the result of the expression 2A - 3BC. The result will be of 2A - 3BC is the matrix: | -4 7|.

To find the result of 2A - 3BC, we first need to perform matrix multiplication. Let's calculate each component of the resulting matrix step by step.

First, we calculate 2A by multiplying each element of matrix A by 2.

2A = 2 * |1 2 3| = |2 4 6|
|0 -2 1| |0 -4 2|

Next, we calculate BC by multiplying matrix B and matrix C.

BC = | 2 1 -1| * |-2 1|
| 0 4 1| | 0 2|
| 4 -1 0| |-2 1|

Performing the matrix multiplication, we get:

BC = | 2 -1|
| -8 6|
| 6 -1|

Finally, we can subtract 3 times the BC matrix from 2A.

2A - 3BC = |2 4 6| - 3 * | 2 -1| = | -4 7|
|0 -4 2| | 32 -9|
| | | 0 1|

Therefore, the result of 2A - 3BC is the matrix: | -4 7|
| 32 -9|
| 0 1|

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Answer:

D

Step-by-step explanation: