Evaluate. 43−4÷2⋅5 20 40 54 150

33 is not a answer choice

Answer:

I don't see anything post a picture of it

Answer:

30 feet

Step-by-step explanation:

The scale factor is 1 inch = 3 feet

So 10 inches = 10 x 3 feet= 30 feet

Height of the lighthouse is 30 feet

Answer:

4 hours

Step-by-step explanation:

3.6 / .8

Answer:

Step-by-step explanation:

Compact cars:

24 divided by 4 = 6

6 cars for 24 people

SUV's:

24 divided by 6 = 4

4 SUV's for 24 people

Answer:

\(4x+6y=24\)

See below for graph.

Step-by-step explanation:

A total of 24 people need to be transported.

Let x represent the number of Uber compact cars.

And let y represent the number of SUVs.

So, the number of people that can be picked up by x compact cars is 4x.

And the number of people that can be picked up by y SUVs is 6y.

And the total is 24 people. So, the two terms must total 24. So, we can write:

\(4x+6y=24\)

We can convert this to slope-intercept form. First, we can divide everything by  2:

\(2x+3y=12\)

Subtracting 2x from both sides yields:

\(3x=-2x+12\)

Finally, dividing both sides by 3 yields our linear equation:

\(\displaystyle y=-\frac{2}{3}x+4\)

Please refer to the below attachment for the graph.

*Note that we should restrain our graph to only QI. This is because we cannot use negative compact cars of SUVs. Also, only integer points on the line will work, as we cannot have, say, 2.5 compact cars.

**Also, the x- and y-intercepts tell us the maximum of each type needed. Either we need 6 compact cars and 0 SUVs, (6, 0); 4 SUVs and 0 compact cars (0, 4); or a combination of them.

Given, Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph.Both Jada and Elena start walking along a walking trail at the same time.

Let us determine the distance covered by both of them.Distance travelled by Jada in 3 hours is:Distance = Speed × Time= 3 mph × 3 hours= 9 miles Distance travelled by Elena in 3 hours is:Distance = Speed × Time= 2.8 mph × 3 hours= 8.4 miles Thus, Jada will walk 0.6 miles farther than Elena after 3 hours.

To determine how far Jada will walk after 3 hours, we need to calculate the distance traveled based on her speed.

Jada walks at a speed of 3 miles per hour (mph), so we can calculate her distance using the formula:

Distance = Speed × Time

Plugging in the values, we have:

Distance = 3 mph × 3 hours

Distance = 9 miles

Therefore, Jada will walk a distance of 9 miles after 3 hours.

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The given information is as follows:

Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph. If they both begin walking along a walking trail at the same time.

Therefore, Jada will walk 9 miles after 3 hours.

The distance covered by Jada after 3 hours can be calculated as follows:

Distance = Speed x Time

Since Jada walks at a speed of 3 mph, the distance covered by her in 3 hours can be calculated as:

Distance covered by Jada = 3 mph x 3 hours

= 9 miles.

Therefore, Jada will walk 9 miles after 3 hours.

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Answer:

2:7

Step-by-step explanation:

The probability of seeing exactly 5 hearts out of 10 cards is\((13/52)^5 × (39/52)^5.\)

The probability of seeing exactly 5 hearts out of 10 cards can be calculated as follows: The total number of cards in a deck is 52. The number of hearts in a deck is 13. Since no card has been removed from the deck, the probability of seeing a heart is 13/52. The probability of seeing a non-heart is 39/52. Since we are looking at 10 cards, the probability of seeing exactly 5 hearts,

p(h)= 13/52

p(nh) = 39/52

hence, \((13/52)^5 × (39/52)^5\)

This means that the probability of seeing exactly 5 hearts out of 10 cards is \((13/52)^5 × (39/52)^5.\)

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The probability that a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red is 0.517.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Let A be the event in which coin chosen from box B is red.

Let B be the event in  which blue poker chip transferred.

Probability of choosing a red coin:

a) when a red coin is chosen from box A = \(\frac{7}{10}\) × \(\frac{4}{9}\)

b)  when a blue coin is chosen from box A =  \(\frac{6}{10}\) × \(\frac{5}{9}\)

∴ P(A) = \(\frac{7}{10}\) × \(\frac{4}{9}\) + \(\frac{6}{10}\) × \(\frac{5}{9}\)  = 0.6444

When blue chip is transferred and red coin chosen:

Probability =  \(\frac{6}{10}\) × \(\frac{5}{9}\)

∴ P(A∩B) =  \(\frac{6}{10}\) × \(\frac{5}{9}\) = 0.33

Now, the probability that a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red is:

P(B|A) = P(A∩B)/P(A) = 0.33/0.644 = 0.517

Thus,  the probability that a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red is 0.517.

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A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.

To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:

Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.

Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.

Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:

t = (sample mean - population mean) / (sample standard deviation / √(sample size))

Given:

Population mean (μ) = 93 minutes

Sample mean (\(\bar x\)) = 86.8 minutes

Sample standard deviation (s) = 14.6 minutes

Sample size (n) = 18

Significance level (α) = 0.10

Calculating the test statistic:

t = (86.8 - 93) / (14.6 / sqrt(18))

t = -6.2 / (14.6 / 4.24264)

t ≈ -2.677

The degrees of freedom for this test is n - 1 = 18 - 1 = 17.

Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.

Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.

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Answer:

Value of n:

Since the first three terms in the binomial expansion are 1 + kx - x^2, we can compare this with the general binomial expansion formula:

(1 + bx)^n = 1 + n(bx) + (n(n-1)/2)(bx)^2 + ...

Comparing the terms, we see that n(bx) = kx, which means n = k.

Value of k:

From the given expression, we have 1 + kx - x^2. Since the coefficient of x is k, we can conclude that k = 1.

Therefore, the value of n is 1 and the value of k is 1.

Step-by-step explanation:

hope this helps :)

Answer:

Multiply the numerator by the reciprocal of the denominator. Multiply x x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=1x f - 1 ( x ) = 1 x is the inverse of f(x)=1x f ( x ) = 1 x .

Step-by-step explanation:

:)

Vector is to scalar as displacement is to distance.

A vector quantity has both magnitude and direction. A scalar quantity has only magnitude and no direction. Displacement is the measure of distance between initial and final points in a particular direction. Distance is length between initial and final points no matter the direction.

here, we have,

Displacement is to distance is as vector is to scalar because displacement is a vector quantity and and distance is scalar version of displacement. Of the other options speed is a scalar quantity and velocity is a vector quantity and none of them arranged in the form of vector is to scalar.

Therefore, Vector is to scalar as displacement is to distance.

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The new standard deviation of the distribution of X + 4 is also 14, for the given mean of 47 and standard deviation of 14.

Given:

Mean = 47

Standard deviation = 14

Adding 4 to each score, we get the new set of scores.

Let X be a random variable which represents the scores.

So the new set of scores will be X + 4.

Now,

Mean of X + 4 = Mean of X + Mean of 4

Therefore,

Mean of X + 4

= 47 + 4

= 51

So, the new mean of the distribution of X + 4 is 51.

Now, we will find the new standard deviation.

Standard deviation of X + 4 = Standard deviation of X

Since we have only added a constant 4 to each score, the shape of the distribution remains the same.

Hence the standard deviation will remain the same.

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Answer:

Although i am not sure, I believe the answer is 56.

Step-by-step explanation:

A right angle is 90 degrees.

90 - 28 = 62

by the looks of it, the angle on to of the place of the 62 looks identical, so i will assume it is also 62 degrees.

62 + 62 = 124

180 - 124 = 56

So that is why I believe it is 56.

(I may either be completly right or completely wrong. If it has answer choices, look at them and see if it is an option)

Hope it helped anyways!

Answer:

y=-4

Step-by-step explanation:

The answer is going to be -4 as when y=-16 x=8.

The eigenvalues of matrix A are λ1 = 2 and λ2 = 4, and bases for the corresponding eigenspaces are {[1, 1]} and {[1, -1]}, respectively.

To find the eigenvalues of matrix A, we first need to solve for the characteristic equation:

det(A - λI) = 0

where I is the identity matrix.

So, we have:

det( [3-λ 1; -1 3-λ] ) = 0

Expanding this determinant, we get:

(3-λ)(3-λ) - (-1)(1) = 0

Simplifying and factoring, we get:

(λ - 2)(λ - 4) = 0

So, the eigenvalues of matrix A are λ1 = 2 and λ2 = 4.

Next, we need to find the eigenvectors corresponding to each eigenvalue.

For λ1 = 2, we solve the system of linear equations:

(A - 2I)x = 0

where I is the 2x2 identity matrix.

So, we have:

[1 1; -1 1]x = 0

Simplifying, we get:

x1 + x2 = 0

-x1 + x2 = 0

Solving this system, we get:

x1 = x2

So, any vector of the form [a, a] is an eigenvector corresponding to λ1 = 2. A basis for the eigenspace corresponding to λ1 is {[1, 1]}.

For λ2 = 4, we solve the system of linear equations:

(A - 4I)x = 0

where I is the 2x2 identity matrix.

So, we have:

[-1 1; -1 -1]x = 0

Simplifying, we get:

-x1 + x2 = 0

-x1 - x2 = 0

Solving this system, we get:

x1 = -x2

So, any vector of the form [a, -a] is an eigenvector corresponding to λ2 = 4. A basis for the eigenspace corresponding to λ2 is {[1, -1]}.

Therefore, the eigenvalues of matrix A are λ1 = 2 and λ2 = 4, and bases for the corresponding eigenspaces are {[1, 1]} and {[1, -1]}, respectively.

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Answer:

6/15=y

Step-by-step explanation:

cuz

The angle of elevation of a wheelchair ramp with a slope of 1:12 is approximately 4.8 degrees.

The slope of a ramp is typically expressed as a ratio of the vertical rise to the horizontal run. In this case, the ratio is 1:12, which means that for every 1 unit of vertical rise, there is 12 units of horizontal run.

To find the angle of elevation, we can use trigonometry. The tangent of an angle is equal to the ratio of the opposite side (vertical rise) to the adjacent side (horizontal run). In this case, the tangent of the angle of elevation is 1/12.

To determine the angle, we can take the inverse tangent (arctan) of this ratio. Using a calculator or trigonometric tables, we find that arctan(1/12) is approximately 4.8 degrees.

Therefore, the angle of elevation of a ramp with a slope of 1:12 is approximately 4.8 degrees when rounded to the nearest tenth.

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Answer:

I don't know if you can solve it without the table since we have to do the calculations with the table. If you put up the table that should help alot.

If you buy 3 sodas, the probability that two will be sprite and one will be a root beer is approximately 0.070, or 7%.

To calculate the probability of getting two cans of Sprite and one can of root beer, we'll use the formula for probability:

Probability = (Number of favorable outcomes) / (Total possible outcomes)

First, let's calculate the total number of ways to select 3 sodas from 31 available sodas (14 Cokes, 10 Sprites, and 7 root beers). We'll use combinations for this:

C(n, r) = n! / (r!(n-r)!)

Total outcomes = C(31, 3) = 31! / (3! * (31-3)!)
Total outcomes = 31! / (3! * 28!) = 4495

Now, let's calculate the number of favorable outcomes. This means selecting two Sprites and one root beer:

Favorable outcomes = C(10, 2) * C(7, 1) = (10! / (2! * 8!)) * (7! / (1! * 6!))
Favorable outcomes = (45) * (7) = 315

Finally, we'll divide the number of favorable outcomes by the total number of possible outcomes:

Probability = 315 / 4495 ≈ 0.070

So, the probability of getting two Sprites and one root beer is approximately 0.070, or 7%, rounded to three decimal places.

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Answer:

a. T is not one-to-one. A counterexample is T(4) = {1, 2, 4} and T(6) = {1, 2, 3, 6}. Although 4 and 6 are distinct positive integers, they have the same set of positive divisors, which means that T is not one-to-one.

b. T is not onto. A counterexample is the empty set, which is not in the range of T. There is no positive integer n that has an empty set as its set of positive divisors, which means that T is not onto.

Step-by-step explanation:

The transformation T, which maps integers to their sets of positive divisors, is not one-to-one, as it can create different sets from different integers. However, T is onto because it can generate all possible finite subsets of positive integers.

In this task, let D be the set of all finite subsets of positive integers, and define T: Z+ → D by the rule: For all integers n, T (n) = the set of all of the positive divisors of n.

a. T is not one-to-one. For illustration, consider the integers 4 and 6. We have T(4) = {1, 2, 4} and T(6) = {1, 2, 3, 6}. As the divisors are different sets, T(n) is not identical for distinct integers, n.

b. T is onto. All possible combinations of finite subsets of positive integers can be attained by constellating the divisors of an integer. Hence, every subset in D can be reached from Z+ by the transformation T, proving that T is an onto function.

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Answer:

y = x^2 - 4.

Step-by-step explanation:

This graph is the reslt of translating y = x^2 down by 4 nits

9514 1404 393

Answer:

Step-by-step explanation:

The midpoint formula is useful here. For midpoint M, we have ...

  M = (C + D)/2

  2M = C + D

  2(10, 10) = (15, s) +(t, 3)

  (20, 20) = (15+t, s+3)

  t = 20 -15 = 5

  s = 20 -3 = 17

__

Check

  (C +D)/2 = ((15, 17) +(5, 3))/2 = (20, 20)/2 = (10, 10) . . . checks OK

This matches the placement of 10, 15, and 20 and hence the standard deviation will be the same in the two cases.

What is the standard deviation?

The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values are close to the set's mean, whereas a high standard deviation indicates that the values are spread out over a wider range.

Standard deviation determines how far numbers deviate from the mean. The Standard deviation of the two sets will be the same if the numbers from the respective means are placed in the same order.

This is what 10, 15, and 20 will be on a number line

10_ _ _ _15 _ _ _ _20

(15 is the mean and 10 and 20 are 5 steps away from the mean)

i) Z - X = 10

This is what Z and X will be on the number line

X _ _ _ _ _ Z

ii) Z - Y = 5

This is what Z and Y will on the number line.

Y_ _ _ _ _ Z

Together, their relative placement on the number line:

X _ _ _ _ _  Y  _ _ _ _ _  Z

This matches the placement of 10, 15, and 20 and hence the standard deviation will be the same in the two cases.

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Answer:

4.

Independent variable: Number of cans

Dependent variable: Soda

The amount of soda is dependent on the number of cans

y = 12x

5.

Independent variable: Number of biscuits

Dependent variable: Number of tricks

The number of biscuits is dependent on the number of tricks

y = 20 - 3x

Answer: BRAINLIEST PLEASE

first question welcome to brainly tha world of trolls thanks for the free pionts ............ hehehe im kidding here is the real answer. The first one

Step-by-step explanation:

i took the test

Answer:

B. The second choice.

Step-by-step explanation:

A function cannot have two points with the same x-coordinate.

If you graph two different points that have the same x-coordinate, they will both lie on the same vertical line. Therefore, if in a relation, more than one point lie on the same vertical line, then the relation is not a function.

Answer:

100°

Step-by-step explanation:

40+100=140.

140+120=260.

There is 360° in a quadrilateral, so

360-260=100.

so, the last angle is 100°.