if a line is perpendicular to y=-2/3x+2, will it be perpendicular to 2x+3y=12?

Answer:

52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 387.20, \sigma = 68.50[/tex]

What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?

This is the pvalue of Z when X = 425 subtracted by the pvalue of Z when X = 325. So

X = 425

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{425 - 387.20}{68.50}[/tex]

[tex]Z = 0.55[/tex]

[tex]Z = 0.55[/tex] has a pvalue of 0.7088

X = 325

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{325 - 387.20}{68.50}[/tex]

[tex]Z = -0.91[/tex]

[tex]Z = -0.91[/tex] has a pvalue of 0.1814

0.7088 - 0.1814 = 0.5274

52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425

Answer: It is A certain.

Step-by-step explanation:

Because all the numbers on a six-sided cube is between 1 and 6 so it is certain or 100/100 that the number will land on a number between 1 and 6.

Answer:

It could fly 10,8 kilometers.

Step-by-step explanation:

The European swallow fly speed is 12 meters per second.

We have to calculate how many kilometers it could fly in 15 minutes.

This can be calculated using the equivalent factors for each of the units:

- 1 km is equivalent to 1,000 meters.

- 1 minute is equivalent to 60 seconds.

We know that the distance travelled by the fly is the product of the speed and the time, so we have:

[tex]D=v\cdot t\\\\\\D=12\,\dfrac{m}{s}\cdot15\, min\\\\\\D=12\,\dfrac{m}{s}\cdot(\dfrac{1\,km}{1,000\,m})\cdot15\, min\cdot (\dfrac{60\,s}{1\,min})\\\\\\D=\dfrac{12\cdot 15\cdot 60}{1,000}\,km=\dfrac{10,800}{1,000}\,km\\\\\\D=10,8 \,km[/tex]

Answer:

  13 slices of cheese pizza

Step-by-step explanation:

Consider grouping the slices so there are 10 pepperoni and 1 cheese in each group of 11. Then 143 slices represents 143/11 = 13 groups. Since there is 1 cheese slice in each group, ...

  13 slices of cheese pizza were sold

Answer:

24

Step-by-step explanation:

Ameeta = 12 math problems.

David =12×3=36 math problems

So 36-12=24

Answer:

12

David's

3 times longer

comparison problem

Step-by-step explanation:

got right on edge

Step-by-step explanation:

BECAUUUUSE ;

[tex]4 \div \frac{1}{5} = 20 \\ \frac{4}{1} \div \frac{1}{5} = 20 \\ \frac{4}{1} \times \frac{5}{1} = 20 \\ \frac{20}{1} = 20[/tex]

Answer:Because the divide sign change to multiplication sign, and when this happens denominator in the right hand side will become numerator,while the formal numerator will become denominator.

Step-by-step explanation:

4 ➗ 1/5

4 x 5/1=20

Answer:

cool?

who's david den

Step-by-step explanation:

Answer:

He shoud use a table or chart.

Step-by-step explanation:

I answered this question before

Answer:

C. x=2 ± √13

Explanation:

[tex] \dfrac{x}{56} = \dfrac{7}{8} \\ x = \dfrac{56 \times 7}{8} \\ x = 49[/tex]

Answer:

100°

Step-by-step explanation:

The angle between chords is the average of the intersected arc angles.

∠FKJ = ½ (84° + 76°)

∠FKJ = 80°

∠HKJ is supplementary to ∠FKJ.

∠HKJ = 180° − 80°

∠HKJ = 100°

Answer:

To convert the feet to square feet we have to multiply the length by the width. In which, we should get the answer as well.

Our length is 2ft, since it's a rectangle the other side is 2ft as well.

The width is 3ft, and the other half is 3ft.

So, basically to get the area of the hole, it'd be 3*2=

Which, it's 6sq ft.

Step-by-step explanation:The actual answer is 36. If I am wrong i am sorry ;3

Answer:

Yes

Step-by-step explanation:

6z > 15

z > 15/6

z > 2.5

So all numbers greater than 2.5 is in the solution set of the inequality 6z > 15.

Answer: (-4,-18)

Step-by-step explanation: If you use desmos you can graph the equation to find the vertex.

The vertex of the graph of function f(x) =  x² + 8x - 2 is (-4, -18)

In a quadratic function, the vertex of the graph refers to the highest or lowest possible outcome of the function. In a graph, the vertex is the highest or lowest point on the parabola,

Given that:

f(x) = x² + 8x - 2

where;

By using the vertex formula to find the x-value;

[tex]\mathbf{x = \dfrac{-b}{2a}}[/tex]

[tex]\mathbf{x = \dfrac{-8}{2(1)}}[/tex]

x = -4

So,

y = (-4)² + 8(-4) - 2

y = 16 -32 -2

y = -18

Therefore, the vertex of the graph of function f(x) =  x² + 8x - 2 is (-4, -18)

Learn more about the vertex of the graph function here:

https://brainly.com/question/1305555

#SPJ2

Answer:

Length is 3 meters and the Width is 5 meters

Step-by-step explanation:

L*W=15

L=2W-7

(2W-7)W=15

[tex]2W^{2} -7W=15\\2W^{2} -7W-15=0[/tex]

(2W+3)(W-5)=0, don't use (2W+3)=0, because it gives you a negative dimension.

W=5, L=3

Answer:6.25

Step-by-step explanation:

Answer:

  3. L(15055) is the number of pages ...

  4. true

Step-by-step explanation:

3. The problem tells you that L( ) is a function of the number of words. (That means the number in parentheses in L( ) is a word count.) The first two answer choices describe the function as being of a number of pages, so are incorrect. The last answer choice matches the description of the function.

__

4. Compound interest represents a growth function. Account values in later years will be more than values in earlier years. So ...

  D(2) < D(7) is TRUE

Answer:

Step-by-step explanation:

1.225km is equal to each laps

Step-by-step explanation:

Since Kristy total distance traveled = 29.6km

And Kristy ran 24 laps and later walk 0.2km. it simply implies that

Total distance traveled = distance covered running + distance covered walking

Since we know that

Total distance traveled = 29.6km

distance covered running = 24 laps

distance covered walking = 0.2km

Distance covered running in km = total distance traveled - distance covered walking

Distance covered running in km = 29.6km - 0.2km = 29.4km.

To now find the distance for each lap.

Since we have:

Distance covered running in km = 29.4km.

Distance covered running in lap = 24 laps

i.e

24 laps = 29.4km

1 lap = x

Use cross-multiple

24 laps * x = 29.4km × 1 lap

x = 29.4km / 24

x = 1.225km

Therefore

1.225km is equal to each laps.

Answer:1.225km is equal to each laps

Step-by-step explanation:

Answer:191.4 cm

Step-by-step explanation:

Circumference=601 cm

π=3.14

Diameter=circumference ➗ π

Diameter=601 ➗ 3.14

Diameter=191.4 cm

Answer:

A.

Step-by-step explanation:

tan x= 6/8

usually tan θ = perpendicular / base

So,

we get perpendicular = 6, base = 8

Now using Pythagorean Theorem to find hypotenuse

hyp² = base² + Perp²

hyp² = 8² + 6²

hyp²= 64 + 36

hyp²=100

Taking sq root on both sides

hypotenuse = 10

Now

sin θ = Perpendicular / Hyp

sin x = 6 / 10

Now

cos θ = base / Hyp

cos x = 8 / 10

Answer:

1.5x+4

Step-by-step explanation:

Step-by-step explanation:

Step 1:  Distribute

[tex]2(3x - 1.75) - 3(1.5x - 2.5)[/tex]

[tex](2 * 3x) + (2 * -1.75) + (-3 * 1.5x) + (-3 * -2.5)[/tex]

[tex](6x) + (-3.5) + (-4.5x) + (7.5)[/tex]

Step 2:  Combine like terms

[tex](6x - 4.5x) + (7.5 - 3.5)[/tex]

[tex]1.5x + 4[/tex]

Answer:  [tex]1.5x + 4[/tex]

Answer: The first one is of even multiplicity and the second one is of odd multiplicity.

Answer:

even

odd

Step-by-step explanation:

Answer:

  D.  (2, 0)

Step-by-step explanation:

The solutions are the two points of intersection of the graphs:

  (-2, -4) and (2, 0)

The latter of these corresponds to choice D, the one you have marked.

Answer:

A. 2

Step-by-step explanation:

[tex] y = 16x^2 - 8x + 1[/tex] is a quadratic function, hence on solving it will give two zeros, therefore graph of the function will intersect x axis in two points.

Answer:

1.8

is the median

Answer: 1.8

Step-by-step explanation: 1.8 is the median

Answer:

The answer to this question can be described as follows:

Step-by-step explanation:

Please find the attachment

Answer:11(4h-3)

Step-by-step explanation:

44h-33

11(4h-3)

First one (on the left) is 2) associative property because we are regrouping terms or re-associating them based on the parenthesis. Think of the parenthesis like a tent or a house that separates off the stuff outside. First 27 and 36 are grouped, then we move the parenthesis so that 52 and 27 are grouped now.

Second one (on the right) is 1) commutative. The commutative multiplication property says we can multiply two numbers in any order. For example, 4*9 = 36 and 9*4 = 36. The 4 and 9 swap places. In this problem, the 3 and 4x swap places. The use of parenthesis isn't necessary, though it is sometimes used to imply multiplication.

Answer:

1) Associative property

2) Commutative property

Let x represent number of bicycles and y represent number of tricycles.

We know that a bicycle has 2 pedals and a tricycle has 32 pedals as well.

We have been given that when the owner counted the total number of pedals of the cycles, he got 50. We can represent this information in an equation as:

[tex]2x+2y=50...(1)[/tex]

[tex]2x=50-2y...(1)[/tex]

We know that a bicycle has 2 wheels and a tricycle has 3 wheels.

We have been given that when the owner counted the total number of wheels of the cycles, he got 64. We can represent this information in an equation as:

[tex]2x+3y=64...(2)[/tex]

Upon substituting equation (1) in equation (2), we will get:

[tex]50-2y+3y=64[/tex]

[tex]50+y=64[/tex]

[tex]50-50+y=64-50[/tex]

[tex]y=14[/tex]

Therefore, 14 tricycles were offered in the sale.