what is the point slope equation of the line with slope -1/3 that goes through the point (4, -5)​

Answer:

0.9332

Step-by-step explanation:

Using the normal distribution, it is found that the area under the standard normal curve to the left of z = 1.5 is of 0.9332.

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In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

Looking at the standard normal table:

Thus, the area under the standard normal curve to the left of z = 1.5 is of 0.9332.

A similar problem is given at https://brainly.com/question/6316394

Answer:

2 x 5

Step-by-step explanation:

When we add matrices, the dimensions of the matrices being added must be the same

A and B are 2 x 5 matrices so they are both 2 x 5 matrices

The output or the sum is also a 2 x 5 matrix

Answer:

See Explanation Below

Step-by-step explanation:

Given

[tex]-3(-3 + 2) - 6[/tex]

Required

Drag the steps

Note that not all steps in the given diagram will be used;

Step 1: Perform Multiplication; 9 + -6 - 6

Step 2: Simplify: -3

Further Explanation:

Step 1 is gotten by opening the bracket;

[tex]-3(-3 + 2) - 6[/tex]

[tex]9 +-6 - 6[/tex]

Step 2 is gotten by solving step 1 further

[tex]9 +-6 - 6[/tex]

[tex]9 - 6 - 6[/tex]

[tex]9 - 12[/tex]

[tex]-3[/tex]

Answer:

  see below

Step-by-step explanation:

When the letters are replaced and mixed between draws, the draws are independent. In that case, the probability of a sequence is the product of the probabilities of the individual letters in the sequence.

The individual probabilities are ...

  D  -  1/4

  E  -  2/4

  R  -  1/4

__

So, the probability for a sequence like DD is ...

  p(D)·p(D) = (1/4)(1/4) = 1/16

Of course, to convert to a percentage, multiply by 100%:

  1/16 × 100% = 6.25%

The attachment shows the rest of them.

Answer:

15%

Step-by-step explanation:

200,000-170,000=30,000

30,000/200,000=0.15, or 15%

Answer:

5/6 miles

Step-by-step explanation:

If they can pave 15 miles in 18 hours, they will pave and 18 of the miles in an 18 of the time, as 1/18 is an eighteenth. This means they will pave 15/18 miles, which simplifies to 5/6 miles.

Answer:

24 square feet

Step-by-step explanation:

The purple part is 2 feet wide and 12 feet long. 2*12=24

Answer: kindly check Explanation

Step-by-step explanation:

The balance on card = $2000

Interest rate = 12.5%

Therefore, monthly rate = 12.5% / 12 = 0.0104167

Paying $75 of monthly balance :

Interest amount on 2000 = 0.0104167 × 2000 = $20.83

Therefore,

Principal amount payed = 75 - 20.83 = 54.17

Balance = ($2000 + $20.83) - $75 = 1945.83

Interest on balance = 0.0104167 × 1945.83 = $20.2691

Paying $100 of monthly balance :

Interest amount on 2000 = 0.0104167 × 2000 = $20.83

Therefore,

Repayment = 100 - 20. 83 = $79.17

Balance = ($2000 + $20.83) - $100 = 1920.83

Interest on balance = 0.0104167 × 1920.83 = $20.0087

Interest saved by paying $100 instead of $75

$20.27 - $20.00 = $0.27 = 27 cent

Answer:

$101

Step-by-step explanation:

Check link answer.

Answer: 7

Step-by-step explanation:

You are given that Bill bought 38 1/2 feet of wire. Convert the mixed fraction into improper fraction.

The length L1 = 77/2

You are given that he cut the wire into several pieces, each one measuring 5 1/2 feet. Convert it too to improper fraction.

The length L2 = 11/2

To know how many number of pieces of wire he have after making the cuts, divide length L1 by length L2. That is,

L1/L2 = 77/2 ÷ 11/2

Change the division to multiplication by reciprocating 11/2 to 2/11

77/2 × 2/11 = 77/11 = 7

Therefore, he had 7 pieces of wires after making the cuts.

Answer:

4/5 = k (4)

Step-by-step explanation:

y=kx

4/5 = k (4)

Answer:

P(X≤57) = 84%

P(X≥57) = 16%

P(47≤X≤57) = 68%

P(X≤47) = 16%

P(X≥47) = 84%

Step-by-step explanation:

We know P(X≤52) = 50%, but this includes the mean as a maximum.

We know P(52≤X≤57) = 34%, but this includes the mean as a minimum.

But if we combine them, we get P(X≤57) = 84%.

We could also say P(X≥57) = 16%.

Since normal distributions are symmetrical, we can also show that P(47≤X≤52) = 34%.  So P(47≤X≤57) = 68%, P(X≤47) = 16%, and P(X≥47) = 84%.

Answer:

C. 46.5

Step-by-step explanation:

The formula for circumfrence is:

C= 2*pi*r

You know that the radius is 7.4 so all you need to do is plug it into the formula and you should get approximately 46.49 or 46.5.

Answer:

A=bh=21·13=273

Step-by-step explanation:

using this formula A=bh

place base in b, and the height or hypotenuse in A

Answer: A~267.96

Step-by-step explanation: Draw a height down from the top of the arrow to the base. USE the formula for the Area of a parallelogram A=bh (base x heght) find height using trig 13sin79 . Then multiply 21 x 12.76

Answer: 5.2

Step-by-step explanation:

This is known as the heart beat method. Search it up for a better explinations.

Basically you putting 3/x = x/9 and simplifying to get sqrt27.

Search this up and watch the video for a better explination

heartbeat method geometry

Answer:

Yes

Step-by-step explanation:

For 2 figures to be similar, the ratio of their corresponding must be the same, as well as their proportion. The simplification of their ratio gives us the scale factor of their corresponding sides. Also, their corresponding angles are congruent.

Looking at polygon LMNO and WXYZ, let's set the ratio of their corresponding side against each other to see if they would be equal to each other.

Thus, we have:

LM/XY = ON/WZ = MN/WZ = LO/ZY

35/10 = 35/10 = 63/18 = 63/18

It would give us a scale factor of 3.5

They are similar.

The answer is:

YES

LMNO ~ WXYZ

Scale factor = 3.5

Answer:

53

Step-by-step explanation:

When subtracting 97-56=41+12=53. The answer is 53. Consider using a calculator or mental math next time rather than asking it as a question.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

53

Step-by-step explanation:

97-56=41

41+12=53

Answer: x=3

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Given

y = x² - 6x + 2

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 6x

y = x² + 2(- 3)x + 9 - 9 + 2

  = (x - 3)² - 7 ← in vertex form

with vertex = (3, - 7 ) and a = 1

Since a > 0 then vertex is a minimum

Answer:

The vertex is a minimum.

Answer:

24

Step-by-step explanation:

Each side from triangle AHM to triangle DPL is divided by 2

32/2 = 16

40/2 = 20

Therefore, 48 / 2 = 24

Answer:

x = 24 (Answer B)

Step-by-step explanation:

Notice that the side lengths of the first (larger) triangle are twice (2x) the corresponding sides of the second (smaller) triangle.

Thus the length of x is half of the corresponding side in the larger triangle, that is:  x = half of 48, or x = 24 (Answer B)

Answer:

4*5*5*2=200 numbers

Step-by-step explanation:

this is because 2,4,6,8 can be the first digit.

2,4,6,8,0 can be the second same for the third.

2 digits can be divisible by 5 which are 5, 0. If it has a 0 at the end it is divisible by 10 which means it is divisible by 5.

Answer:

100 numbers

Step-by-step explanation:

Since there are four digits, the answer will be the product of four numbers. The first digit has to be either 2,4,6, or 8 because it is a four digit number with all even digits. Same for the next two numbers, but zero is also a possibility. The question asks for a number divisible by 5, so the last digit must be a 0 in order to qualify as an even number. So the answer would be 4*5*5*1 (number of possible digits) which is 100.

Answer:

It is [tex]4^{5}[/tex]

Step-by-step explanation:

the four is multiplied 5 times

Answer:

it will be 4^5

Step-by-step explanation:

add the # of 4s and u will get ur exponent

Answer:

a) DE ≅ GF

Step-by-step explanation:

In the picture attached, the diagram is shown.

An isosceles trapezoid is a trapezoid in which the base angles are equal and therefore the left and right side lengths are also equal. In this case, the left and right side lengths are DE and GF, respectively; then they are congruent.

Answer:

Step-by-step explanation:

Given sequence is -5, -1, -5, -25,..

In any arithmetic series  nth term is given by  a + (n-1)d

where a is the first term

and d is the common difference.

 d = nth term - (n-1)th term

For the given  series

a = -5

lets take nth term as 2nd term and 1st term as (n-1)th term

d = -1-(-5)= -1+5 = 84

n th term = a + (n-1)d

using the formula for nth term

4th term = 5 + (4-1)8 = 29

Answer:

129

Step-by-step explanation:

DCF = DCE + ECF

      = 75+ 54

      = 129

Answer:

m∠DCF = 129°

Step-by-step explanation:

∠DCF is ∠DCE + ∠ECF

You are adding the 2 smaller angles together to get the larger angle.

Answer:

D. 9

Step-by-step explanation:

We are told in the question that: The number of tennis balls represented by P(n), in n layers of the square pyramid is given as

P(n) = P(n - 1) + n²

Let's take the first layer

n = 1

P(1) = P(1 - 1) + 1²

P(1) = 1 tennis ball.

It is important to note that the first layers we have one tennis ball.

Let's take the second layer

n = 2

P(2) = P(2 - 1) + 2²

P(2) = P(1) + 2²

Note that: P(1) above = 1

P(2) = 1 + 2²

P(2) = 5 tennis balls

It is important to note that the second layer we have five tennis balls

Let's take the third layer

n = 3

P(3) = P(3 - 1) + 3²

P(3) = P(3 - 1) + 3²

P(3) = P(2) + 3²

Note that: P(2) above = 5

P(3) = 5 + 3²

P(3) = 14 tennis balls

It is important to note that the second layer we have fourteen tennis balls

Let's take the fourth layer

n = 4

P(4) = P(4 - 1) + 4²

P(3) = P(4 - 1) + 4²

P(3) = P(3) + 4²

Note that: P(3) above = 14

P(3) = 14 + 4²

P(3) = 30 tennis balls

It is important to note that the fourth layer we have thirty tennis balls

Hence, the number of tennis balls from the first four layers will be: 1, 5, 14, 30,

So, the number of tennis balls that Coach Kunal could not have is 9.

Answer:

A = 300 cm^2

Step-by-step explanation:

The area of the parallelogram is

A = bh

A = 20 *15

A = 300 cm^2

Answer:

EF = 8

Step-by-step explanation:

FD is an angle bisector and divides the opposite side of the angle into segments that are proportional to the other 2 sides, that is

[tex]\frac{DE}{DG}[/tex] = [tex]\frac{EF}{FG}[/tex] , substitute values

[tex]\frac{24}{54}[/tex] = [tex]\frac{x}{x+10}[/tex] ( cross- multiply )

54x = 24(x + 10) ← distribute

54x = 24x + 240 ( subtract 24x from both sides )

30x = 240 ( divide both sides by 30 )

x = 8

Thus EF = x = 8

Answer:

[tex]P(4,3) = 4![/tex]

Step-by-step explanation:

Given

P(4,3)

Required

Solve

Using permutation formula;

[tex]P(n,r) = \frac{n!}{(n-r)!}[/tex]

This implies that

[tex]P(4,3) = \frac{4!}{(4-3)!}[/tex]

[tex]P(4,3) = \frac{4!}{(1)!}[/tex]

[tex]P(4,3) = \frac{4!}{1!}[/tex]

[tex]P(4,3) = \frac{4!}{1}[/tex]

[tex]P(4,3) = 4![/tex]

Answer:

The answer is 4!

Step-by-step explanation:

I just got this question right

Answer:

not worth it

Step-by-step explanation: