Lana's height is 2 inches tall less than her brother's height. Her brother's height her brother's height is unknown. Which expression shows Lana's height use x for her brother's height.
A. x - 2
B. x/2
C. x + 2
D. 2x

Answer:b the probabilty that it contains nuts and is white

Step-by-step explanation:im sorry if this is wrong but its the only one that makes sense to me

Conditional probability is represented by probability that the candy is blue

The concept of the conditional probability formula is one of the quintessential concepts in probability theory. The conditional probability formula gives the measure of the probability of an event, say B given that another event, say A has occurred.  

The Bayes' theorem is used to determine the conditional probability of event A, given that event B has occurred, by knowing the conditional probability of event B, given that event A has occurred, also the individual probabilities of events A and B.

: In case P(B)=0, the conditional probability of P(A | B) is undefined.  (the event B did not occur)

Given:

Some red, white, and blue candies were placed in a bowl.

Some contain nuts, and some do not

Here we are only focusing on the red candy which shows we have reduce the sample space.

Learn more about conditional probability here:

https://brainly.com/question/13044823

#SPJ5

The solution of the given quadratic equation are,

\(y = \frac{-11+\sqrt{41} }{4}, y = \frac{-11-\sqrt{41} }{4}\).

What is quadratic equation?

Any equation in algebra that can be written in standard form as where x stands for an unknown value, where a, b, and c stand for known numbers, and where a ≠ 0 is true is known as a quadratic equation.

Consider, the given equation:

2y^2 + 11y + 10 = 0

Compare this equation with \(ay^2 + by + c = 0\)

⇒  a = 2,  b = 11, c = 10

Consider, the quadratic formula

\(y = \frac{-b+-\sqrt{xb^2-4ac} }{2a}\)

Plug the values of a, b, c in the quadratic formula.

⇒

\(y = \frac{-11+-\sqrt{11^2-4(2)(10)} }{2(2)} \\y = \frac{-11+-\sqrt{121-80} }{4}\\ y = \frac{-11+-\sqrt{41} }{4} \\y = \frac{-11+\sqrt{41} }{4}, y = \frac{-11-\sqrt{41} }{4}\)

Hence, the solution of the given quadratic equation are,

\(y = \frac{-11+\sqrt{41} }{4}, y = \frac{-11-\sqrt{41} }{4}\).

To learn more about quadratic equation, click on the link

https://brainly.com/question/1214333

#SPJ1

Answer:

3/4 is equivalent to 6/7

Hey there!

Equivalent fractions have the same value. Here are some fractions that are equivalent to 6/7:

\(\frac{6}{7} =\frac{12}{14} =\frac{18}{21} =\frac{24}{28} ...\)

Hope it helps. Please let me know if you have any questions.

~An excited gal

\(MagicalNature\) here to help

The mass of the lamina is 30 and the center of mass of the lamina is (x, y) = (2, 9/5).

To find the mass and center of mass of the lamina bounded by the curves x = 0, x = 4, y = 0, and y = 3, with the indicated density δ(x, y) = y + 1, we can use double integration.

First, let's find the mass (m) of the lamina:

m = ∬R δ(x, y) dA

Where R represents the region bounded by the given curves.

Integrating δ(x, y) over the region R, we have:

m = ∫[0, 4] ∫[0, 3] (y + 1) dy dx

m = ∫[0, 4] [(y²/2 + y) |[0 to 3] dx

m = ∫[0, 4] (9/2 + 3) dx

m = ∫[0, 4] (15/2) dx

m = (15/2) [x]_[0 to 4]

m = (15/2) * 4

m = 30

Therefore, the mass of the lamina is 30.

Next, let's find the center of mass (x, y) of the lamina. The coordinates (x, y) of the center of mass can be calculated using the following formulas:

x = (1/m) * ∬R x * δ(x, y) dA

y = (1/m) * ∬R y * δ(x, y) dA

Integrating x * δ(x, y) and y * δ(x, y) over the region R, we have:

x = (1/m) * ∫[0, 4] ∫[0, 3] x * (y + 1) dy dx

y = (1/m) * ∫[0, 4] ∫[0, 3] y * (y + 1) dy dx

Evaluating these integrals, we get:

x = (1/30) * ∫[0, 4] [(x * (y²/2 + y)) |_[0 to 3] dx

y = (1/30) * ∫[0, 4] [(y²/2 + y²/2 + y) |_[0 to 3] dx

Simplifying and evaluating the integrals:

x = (1/30) * ∫[0, 4] [(3x + 9/2) - (0)] dx

y = (1/30) * ∫[0, 4] [(27/2) - (0)] dx

x = (1/30) * [(3x²/2 + (9/2)x) |_0^4]

y = (1/30) * [(27/2) * (4 - 0)]

x = (1/30) * [(3(16)/2 + (9/2)(4)) - (0)]

y = (1/30) * [(27/2) * 4]

x = (1/30) * (24 + 18)

y = (1/30) * (54/2)

x = 2

y = 9/5

Therefore, the center of mass of the lamina is (x, y) = (2, 9/5).

Learn more about Mass here

https://brainly.com/question/32673368

#SPJ4

find the mass m and center of mass (x, y) of the lamina bounded by the given curves and with the indicated density.

1. x = 0, x = 4, y = 0, y = 3; δ(x, y) = y + 1

For a 95% confidence interval, number of blocks that must be sampled is 139, and for a 99% confidence interval, number of blocks that must be sampled is 238.

We will use the formula for the sample size in a confidence interval estimation:
n = (Z * σ / E)²

Where n is the sample size, Z is the Z-score corresponding to the desired confidence level, σ is the standard deviation, and E is the margin of error.

a. For a 95% confidence interval, the Z-score is 1.96. The standard deviation is 0.6 kg, and the margin of error is ±0.1 kg. Plugging these values into the formula:

n = (1.96 * 0.6 / 0.1)²
n ≈ 138.3

Since we need to round up the final answer to the nearest integer, the number of blocks that must be sampled for a 95% confidence interval is 139.

b. For a 99% confidence interval, the Z-score is 2.576. Using the same formula with this new Z-score:

n = (2.576 * 0.6 / 0.1)²
n ≈ 237.8

Again, rounding up the final answer to the nearest integer, the number of blocks that must be sampled for a 99% confidence interval is 238.

In summary, for a 95% confidence interval, 139 blocks must be sampled, and for a 99% confidence interval, 238 blocks must be sampled.

Learn more about : Statistics - https://brainly.com/question/31426757

#SPJ11

(a) Product of disjoint cycles f = (1)(2 4 6 7 5), g = (1 7)(2)(3 4 6 5), (b) f∘g = (5 1)(2 4 6)(3 7), g∘f = (7 2)(3 6 5)(1 4), f∘f = (1)(2 4 6)(3 7 5), (c) f^(-1) = (1)(5 7 6 4 2), (d) g is an odd.

(a) To express f and g as a product of disjoint cycles, we can observe the cycles by tracing the numbers in f and g:

For f: f(1) = 1, f(2) = 4, f(4) = 6, f(6) = 2, f(7) = 5, f(5) = 7, f(3) = 3. We can write f as a product of disjoint cycles: f = (1)(2 4 6 7 5).

For g: g(1) = 7, g(7) = 1, g(2) = 2, g(4) = 6, g(6) = 5, g(5) = 3, g(3) = 4. We can write g as a product of disjoint cycles: g = (1 7)(2)(3 4 6 5).

(b) We can compute the composition of f and g:

f∘g: f(g(1)) = f(7) = 5, f(g(7)) = f(1) = 1, f(g(2)) = f(2) = 4, f(g(4)) = f(6) = 2, f(g(6)) = f(5) = 7, f(g(5)) = f(3) = 3, f(g(3)) = f(4) = 6.

g∘f: g(f(1)) = g(1) = 7, g(f(2)) = g(4) = 6, g(f(4)) = g(6) = 5, g(f(6)) = g(2) = 2, g(f(7)) = g(5) = 3, g(f(5)) = g(7) = 1, g(f(3)) = g(3) = 4.

We also compute f∘f:

f∘f: f(f(1)) = f(1) = 1, f(f(2)) = f(4) = 6, f(f(4)) = f(6) = 2, f(f(6)) = f(2) = 4, f(f(7)) = f(5) = 7, f(f(5)) = f(7) = 5, f(f(3)) = f(3) = 3.

(c) To find f^(-1), we reverse the order of the cycles in f: f^(-1) = (1)(5 7 6 4 2).

(d) To express g as a product of transpositions, we can write:

g = (1 7)(2)(3 4 6 5). We have two transpositions: (1 7) and (3 4 6 5). Since g has an odd number of transpositions, it is an odd permutation.

LEARN MORE ABOUT disjoint cycles here: brainly.com/question/30507242

#SPJ11

Answer:yes 1 =-1

Step-by-step explanation:

Gray gob you are correct

Answer:

7 miles

Step-by-step explanation:

Let x be the number  of hours he rides away from home at 28 mph.

Then, since the speed of the automobile is 7 times his walking speed, the number of hours he spends walking is 7x.

Then, the total time, which is 2 hours, is equal to x plus 7x, or 8x.

8x=2-->x=1/4

So the amount of time he spends in the automobile is x=1/4 hour.

The distance he travels in 1/4 hour at 28 mph is 7 miles.

Avg speed of the round trip= 2*28*4/(28+4)= 7 mi/hr

RT=7*2=14 miles

--> 7 miles each way.

False. The number in front of the "E" in E notation must always contain a decimal point to accurately represent the value.

b. False. When using E notation (also known as scientific notation), the number in front of the "E" must contain a decimal point.

E notation is a way to express very large or very small numbers in a compact form. It consists of two parts: the significand (or mantissa) and the exponent. The significand represents the main digits of the number, and the exponent indicates the power of 10 by which the significand should be multiplied.

It is crucial to include a decimal point in the significand to accurately represent the number in E notation. Omitting the decimal point can lead to a misunderstanding or incorrect interpretation of the value.

Learn more about exponent here: https://brainly.com/question/30066987

#SPJ11

The equation for the given pattern will be y = -2x + 0.

A linear function can be used to depict a straight line on the coordinate plane.

The slope of a linear function is fixed and constant.

A linear function has the formula f(x) = ax + b, where a and b are real numbers.

As per the given table of values for a linear function.

Let's suppose the linear function is as

y = -2x + c

Put (1,-2)

-2 = -2 x 1 + c

c = 0

Thus, it will be y = -2x + 0

Hence "y = -2x + 0 will be the equation for the given pattern".

For more about the linear function,

brainly.com/question/21107621

#SPJ1

Linear Regression, It ranks among the most used machine learning regression algorithms. The output variables are predicted by a significant variable from the data set (future values)

Regression is a statistical technique used in the fields of finance, investing, and other disciplines that aims to establish the nature and strength of the relationship between a single dependent variable (often represented by Y) and a number of independent variables (known as independent variables).

The most popular variation of this method is linear regression, which is also known as simple regression or ordinary least squares (OLS). Based on a line of best fit, linear regression determines the linear relationship between two variables.

The slope of a straight line used to represent linear regression thus indicates how changing one variable affects changing another.

In a linear regression connection, the value of one variable when the value of the other is zero is represented by the y-intercept. Regression without linearity.

Hence, Linear Regression, It ranks among the most used machine learning regression algorithms. The output variables are predicted by a significant variable from the data set (future values).

learn more about regression click here:

https://brainly.com/question/28178214

#SPJ4

Step-by-step explanation:

as you wrote correctly, proportional relationships are in the form

y = mx

that means the line has to go through the origin (0, 0). otherwise it is in the form

y = mx + b

which is still linear but not proportional.

1a.

the rate of change is between 2 points A and B

(Yb - Ya)/(b - a)

in our case e.g. (4, 5.52) and (8, 11.04)

(11.04 - 5.52)/(8 - 4) = 5.52 / 4 = 1.38

when we use other points we get the same result. we see e.g. that when we double x (pounds), then also y (cost) is doubled.

the rate of change is 1.38.

this is also called the slope of the line.

b.

as mentioned in a., when we multiply x by a factor, then y is multiplied by the same factor. it also means that the function contains (0, 0) : for 0 pounds we pay $0.

c.

y = 1.38x

2a.

the slope is (as it is the same as the rate of change) the ratio of (y coordinate change / x coordinate change) when going from one point on the line to another.

we try to find points with integer coordinates to do that.

I see e.g. (3, 4) and (6, 8).

x changes by +3 (from 3 to 6).

y changes by +4 (from 4 to 8).

so, the slope is +4/+3 = 4/3.

b.

the simplest indicator is that the line goes through the origin (0, 0), which it does.

c.

y = (4/3)x

The equation (x-h)^(2)+(y-k)^(2)=r^(2) represents a circle with center C(h,k) and radius r. The correct choice that illustrates the center and radius is option b: C(h,k); radius is r.

The general equation of a circle is given by (x-h)^(2)+(y-k)^(2)=r^(2), where (h,k) represents the center of the circle, and r represents the radius.

In option a, the radius is stated as -r, which is incorrect since the radius of a circle cannot be negative.In option c, the order of the variables is reversed, with C(k,h), which is incorrect. The center coordinates should be in the form C(h,k).

In option d, the radius is stated as -r^(2), which is also incorrect as the radius cannot be negative and squared. Therefore, the correct choice is option b: C(h,k); radius is r. This indicates that the center of the circle is at coordinates (h,k) and the radius of the circle is r.

Learn more about equation here:

https://brainly.com/question/29288238

#SPJ11

Answer:

1.1875

Step-by-step explanation:

19.00/16 is =1.1875

Answer:

45 people are members at the tennis club

Step-by-step explanation:

Let the number of people in the tennis club be denoted as "x".

Since each of them donated $12.45, then total donated = 12.45x

Since they had $50.25 left over after paying the cost of $510 for the ball, then;

12.45x - 510 = 50.25

12.45x = 510 + 50.25

12.45x = 560.25

x = 560.25/12.45

x = 45

The correct answer is A. The standard error of the sample proportion will become larger as the sample size increases.

The standard error is a measure of the variability or uncertainty associated with an estimate. In the case of the sample proportion, it measures the spread or variability in the proportion of successes observed in the sample compared to the true population proportion.

As the sample size increases, the standard error decreases, indicating greater precision in estimating the true population proportion. This is because a larger sample provides more information and reduces the impact of sampling variability.

On the other hand, options B, C, and D are incorrect. The standard error is not affected by the population proportion itself but rather by the sample size. The population proportion approaching 0.50, 1.00, or 0 does not directly impact the standard error, although it may affect other measures such as the margin of error or confidence intervals. The primary factor influencing the standard error is the sample size, with larger samples leading to smaller standard errors.

To know more about standard error, refer here:

https://brainly.com/question/32854773#

#SPJ11

Answer:

Step-by-step explanation:

7b=63

b=9

We are given that Mike has $36, if he spends 1/3 of this amount, the amount spent is the product of 36 and 1/3, that is:

Therefore, he spends $12 on the movie.

Now we are told that he spends 2/9 of the money, therefore, he spent:

In total, he spent $8 on the sandwich.

The money he has left is:

Therefore, he can't buy an $18 dollars book.

Answer: about 2 times greater

Step-by-step explanation:

Answer:

what's the question though??

Answer:

5600

Step-by-step explanation:

70 x 80.

( i just assumed u wanted to know the cost of all the 80 tickets if each costed 70 dollars)

To answer this problem we have to remember that the break even point occur where the revenue function and the cost function have the same value.

Then, this happens when

Pluggin the expressions of our functions and solving for x we have:

Therefore the break even point occurs when x=74000. In this points both functions have value

The conclusion after conducting one sample z-test for z value 5.7 is not possible the correct answer is option c. None of the above.

To determine the conclusion of a one-sample Z test based on the Z-value,

We need to compare the Z-value with the critical value of Z at the chosen level of significance (alpha) and with the corresponding p-value.

If the Z-value is greater than the critical value of Z or if the p-value is less than the chosen level of significance (alpha).

Then we reject the null hypothesis.

Otherwise, we fail to reject the null hypothesis.

Without knowing the level of significance and the corresponding critical value.

We cannot determine the conclusion of the test based solely on the Z-value of 5.7.

However, if we assume a standard significance level of 0.05.

We can use a Z-table or statistical software to find the corresponding critical value of Z, which is 1.96 for a two-tailed test.

If the Z-value of 5.7 is greater than the critical value of Z of 1.96, then we reject the null hypothesis.

Otherwise, we fail to reject the null hypothesis.

Therefore, for the one-sample Z test with given information it is not possible to conclude the correct answer is option c. none of the above.

learn more about Z test here

brainly.com/question/15937859

#SPJ4

Answer:

B = (4, 3)

D = (8,6)

Step-by-step explanation:

Go along the X axis until you find the line that fits with B, same with D.

(a) The interval on which f is increasing: (0, ∞)

The interval on which f is decreasing: (0, 1)

(b) Local minimum: At x = 1, f(x) has a local minimum value of -1.

There is no local maximum value.

(c) Inflection point: At x ≈ 0.293, f(x) has an inflection point.

The function f(x) = x^2 - x - ln(x) is a quadratic function combined with a logarithmic function.

To find the interval on which f is increasing, we need to determine where the derivative of f(x) is positive. Taking the derivative of f(x), we get f'(x) = 2x - 1 - 1/x. Setting f'(x) > 0, we solve the inequality 2x - 1 - 1/x > 0. Simplifying it further, we obtain x > 1. Therefore, the interval on which f is increasing is (0, ∞).

To find the interval on which f is decreasing, we need to determine where the derivative of f(x) is negative. Solving the inequality 2x - 1 - 1/x < 0, we get 0 < x < 1. Thus, the interval on which f is decreasing is (0, 1).

The local minimum is found by locating the critical point where f'(x) changes from negative to positive. In this case, it occurs at x = 1. Evaluating f(1), we find that the local minimum value is -1.

There is no local maximum in this function since the derivative does not change from positive to negative.

The inflection point is the point where the concavity of the function changes. To find it, we need to determine where the second derivative of f(x) changes sign. Taking the second derivative, we get f''(x) = 2 + 1/x^2. Setting f''(x) = 0, we find x = 0. Taking the sign of f''(x) for values less than and greater than x = 0, we observe that the concavity changes at x ≈ 0.293. Therefore, this is the inflection point of the function.

Visit here to learn more about Inflection point:

brainly.com/question/30763521

#SPJ11

The phasor form of a sinusoid represents the amplitude and phase angle of the sinusoid in complex number notation. In this case, the phasor form of \(8 sin(20t 57)\) would be 8 ∠57°. The amplitude, 8, is the magnitude of the complex number, and the phase angle, 57°, is the angle of the complex number in the complex plane.

In terms of amplitude and phase angle, a sinusoidal waveform is mathematically represented in phasor form. Electrical engineering frequently employs it to depict AC (alternating current) circuits and signals. A complex number that depicts the magnitude and phase of a sinusoidal waveform is called a phasor. The phase angle is represented by the imaginary component of the phasor, whereas the real part of the phasor represents the waveform's amplitude. Complex algebra can be used to analyse AC circuits using the phasor form, which makes computations simpler and makes it simpler to see how the circuit behaves.

Learn more about phasor here:
https://brainly.com/question/22970717

#SPJ11

To prove that there must exist an integer m such that any collection of m integers will either contain a pair whose sum is divisible by 10 or contain a pair whose difference is divisible by 10, we can use the Pigeonhole Principle.

The Pigeonhole Principle states that if we distribute more than n objects into n pigeonholes, then at least one pigeonhole must contain more than one object.

In our case, the objects are the integers, and the pigeonholes are the possible remainders when dividing an integer by 10. Since there are only 10 possible remainders (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9), we can distribute the integers into these 10 pigeonholes based on their remainders when divided by 10.

Now, consider a collection of m integers. We need to show that if m is large enough, there will always be either a pair whose sum is divisible by 10 or a pair whose difference is divisible by 10.

Let's consider the 10 possible remainders when dividing an integer by 10. If any of these remainders have more than one integer assigned to them (pigeonhole contains more than one object), we can easily find a pair that satisfies either condition.

Case 1: Pigeonhole contains more than one integer with a remainder of 0 when divided by 10.

In this case, we have at least two integers x and y such that x ≡ 0 (mod 10) and y ≡ 0 (mod 10). Therefore, their sum x + y is divisible by 10, and we have found a pair whose sum is divisible by 10.

Case 2: Pigeonhole contains more than one integer with a remainder between 1 and 9 (inclusive) when divided by 10.

In this case, we have at least two integers x and y such that x ≡ r (mod 10) and y ≡ r (mod 10), where r is a remainder between 1 and 9. Therefore, their difference x - y is divisible by 10, and we have found a pair whose difference is divisible by 10.

In both cases, we have shown that for any collection of m integers, if m is large enough, there will always be either a pair whose sum is divisible by 10 or a pair whose difference is divisible by 10.

To compute the smallest such integer m, we need to find the smallest value of m for which the Pigeonhole Principle guarantees the existence of the desired pair.

In this case, we have 10 possible pigeonholes (remainders) and the minimum number of integers required to guarantee the existence of a pair is one more than the number of pigeonholes.

Therefore, the smallest integer m is 10 + 1 = 11.

Hence, for any collection of 11 integers, there must exist a pair whose sum is divisible by 10 or a pair whose difference is divisible by 10.

To know more about integer refer here:

https://brainly.com/question/490943#

#SPJ11

The equation that models the total amount of money is a linear equation

The equation that models the total amount of money that Madison spends on fruit is 0.6b + 1.74p = 10.38

The given parameters are:

Total amount = $10.38

Total amount on b bananas = 0.60b

Total amount on p pears = 1.74p

So, the equation is:

Banana + Pears = Total amount

This gives

0.6b + 1.74p = 10.38

Hence, the equation that models the total amount of money that Madison spends on fruit is 0.6b + 1.74p = 10.38

Read more about linear equations at:

https://brainly.com/question/15602982

Answer:

Answer is Below (Steps)

Step-by-step explanation:

(5 x 0.79) + (2 x 1.19) =

= 5 x 0.79 + 2 x 1.19

= 3.95 + 2 x 1.19

= 2 x 1.19 = 2.38

= 3.95 + 2.38 = 6.33

Answer is 6.33

Hopes this Helps :D

Choose me as Brainiest Please : )