. Write an equation of the line that passes through the given points use point
slope formula. (2, 1), (5,2)

Answer:

X= 23, 22, 21, 20, 19, 18, 17 and so forth

Step-by-step explanation:

To make this inequality true then "X-4" would have to be less than 20, not equal or more than. 24-4=20 meaning the basis for the answer of X would start at 23

Answer:

106.43

Step-by-step explanation:

The difference in their account balances at the end of 3 years is $24.32

To solve the compound interest for Cody

First, convert R as a percent to r as a decimal

r = R/100

r = 4/100

r = 0.04 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 5,000.00(1 + 0.04/1)(1)(3)

A = 5,000.00(1 + 0.04)(3)

A = $5,624.32

To solve for the simple interest for April

P * T * R/100

5000 * 4 * 3/100

= 60,000/100

= 600.

We add the S. I of April's investment

= 5,000 + 600

= $5600.

Therefore, the difference between their account balances is $5,624.32 - $5600 = $24.32

Read more about compound interest here:

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Answer: Answers and explanations down below.

Step-by-step explanation:

1. 90- 24= 66

m<FCG= 66 degrees

2. 24+31=55

180-55= 125

m<BCD= 125 degrees

3. 90+24=114

m<FCB=114 degrees

4. 90+66=156

m<ACG=156 degrees

Step-by-step explanation:

FCG=66°

BCD=125°

FCB=114°

ACG=156°

Answer:

parallelogram

hope this helps you ☺️☺️

Answer:

Cost of one notebook is 1.40 and one pen is1.40andonepenis0.90

Step-by-step explanation:

Let,

Notebook = x

Pen = y

According to given statements;

\begin{gathered}Multiplying\ Eqn\ 1\ by\ 4\ and Eqn\ 2\ by\ 5\\4(5x+4y=10.60)\\20x+16y=42.40 \ \ \ Eqn\ 3\\ 5(4x+3y=8.30)\\20x+15y=41.50 \ \ \ Eqn\ 4\\Subtracting\ Eqn\ 4\ from\ Eqn\ 3\\(20x+16y)-(20x+15y)=42.40-41.50\\20x+16y-20x-15y=0.90\\y=0.90\\Putting\ value\ of\ y\ in\ Eqn\ 1\\5x+4(0.90)=10.60\\5x+3.60=10.60\\5x=10.60-3.60\\5x=7\\Dividing\ both\ sides\ by\ 5\\\frac{5x}{5}=\frac{7}{5}\\x=1.40\end{gathered}Multiplying Eqn 1 by 4 andEqn 2 by 54(5x+4y=10.60)20x+16y=42.40   Eqn 35(4x+3y=8.30)20x+15y=41.50   Eqn 4Subtracting Eqn 4 from Eqn 3(20x+16y)−(20x+15y)=42.40−41.5020x+16y−20x−15y=0.90y=0.90Putting value of y in Eqn 15x+4(0.90)=10.605x+3.60=10.605x=10.60−3.605x=7Dividing both sides by 555x=57x=1.40

Cost of one notebook is 1.40 and one pen is1.40andonepenis0.90

Complete Question

A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with[tex]\sigma^2=1000[/tex]. A random sample of 12 sample specimens has a mean compressive strength of [tex]\=x=3207psi[/tex]. Round your answers to 1 decimal place. (a) Calculate the 95% two-sided confidence interval on the true mean compressive strength of concrete.

Answer:

[tex]CI=(3189.1,3224.9)[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size [tex]n=12[/tex]

Standard deviation [tex]\sigma^2=1000psi^2\\\sigma=\sqrt{1000} \\\sigma=31.6[/tex]

Sample mean [tex]\=x=3207[/tex]

Confidence level =95%

[tex]\alpha=100-95\\\alpha=0.05[/tex] significance level

From table \alpha 0.05

Gives

[tex]Z_c=1.96[/tex]  

Generally the equation for confidence interval is mathematically given by

[tex]CI=(\=x-\frac{z_c*\sigma}{\sqrt{n} } ),\=X+\frac{Z_C*\sigma}{\sqrt{12} })[/tex]

[tex]CI=(3207-\frac{1.96*31.6}{\sqrt{12} } ),3207+\frac{1.96*31.6}{\sqrt{12} })[/tex]

[tex]CI=(3189.1,3224.9)[/tex]

Answer:

60, and m = 30, and 1 min 20.

Step-by-step explanation:

For A, the 60 is the starting point meaning that the temperature was intitally 60 degrees

For B, if we divided both sides by 2 we get the answer m = 30, meaning every minute, it was up 30 degrees.

For C, we know that in one minute it will be 90 degrees, so 60 seconds = 30 degrees. So lets divided both sides by 3 to get 10 degrees. We get 20 seconds. It will take 1 min and 20 for it to be 100 degrees.

Hopefully thats right.

Answer:

-20 + 14[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Answer:

A. A quadratic function can only have one y-intercept.

Step-by-step explanation:

hope this helps. p.s. i really need brainliest :)

Answer:

A

Step-by-step explanation:

Answer:

2000 litres

Step-by-step explanation:

find the volume

v =2m×1m×1 m

= 2 m3

1m3 =1000litres

2m3=????

cross multiply

2m3 ×1000litres

1m3

Ans = 2000litres

Answer:

18.9

Step-by-step explanation:

hope this helps have a great day

The probabilities that could complete the model and maintain a total sum of 1 are options B and E.

B: P(green) = 3/8, P(yellow) = 1/8

E: P(green) = 3/7, P(yellow) = 1/14

To determine the probabilities that could complete the model, we need to consider the sum of all probabilities. In a probability model, the sum of all probabilities should equal 1.

Given the probabilities P(red) = 2/7 and P(blue) = 3/14, let's calculate the sum:

P(red) + P(blue) = 2/7 + 3/14 = 4/14 + 3/14 = 7/14 = 1/2

Since the sum of P(red) and P(blue) is 1/2, we need to find the probabilities for P(green) and P(yellow) that, when added to 1/2, give a total sum of 1.

Looking at the answer key options:

A: P(green) = 2/7, P(yellow) = 2/7

B: P(green) = 3/8, P(yellow) = 1/8

C: P(green) = 1/4, P(yellow) = 1/4

D: P(green) = 5/21, P(yellow) = 11/21

E: P(green) = 3/7, P(yellow) = 1/14

Let's check the sums:

A: P(red) + P(blue) + P(green) + P(yellow) = 2/7 + 3/14 + 2/7 + 2/7 = 4/14 + 3/14 + 4/14 + 4/14 = 15/14 ≠ 1 (incorrect)

B: P(red) + P(blue) + P(green) + P(yellow) = 2/7 + 3/14 + 3/8 + 1/8 = 4/14 + 3/14 + 6/14 + 1/14 = 14/14 = 1 (correct)

C: P(red) + P(blue) + P(green) + P(yellow) = 2/7 + 3/14 + 1/4 + 1/4 = 4/14 + 3/14 + 7/14 + 7/14 = 21/14 ≠ 1 (incorrect)

D: P(red) + P(blue) + P(green) + P(yellow) = 2/7 + 3/14 + 5/21 + 11/21 = 6/14 + 3/14 + 10/14 + 11/14 = 30/14 ≠ 1 (incorrect)

E: P(red) + P(blue) + P(green) + P(yellow) = 2/7 + 3/14 + 3/7 + 1/14 = 4/14 + 3/14 + 6/14 + 1/14 = 14/14 = 1 (correct)

Based on the calculations, the probabilities that could complete the model and maintain a total sum of 1 are options B and E. So, the correct answers are:

B: P(green) = 3/8, P(yellow) = 1/8

E: P(green) = 3/7, P(yellow) = 1/14

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Answer:

[tex]BM = 14[/tex]

Step-by-step explanation:

Given

The attached triangles

Required

Find BM

We have that:

ABC is similar to JHG

This implies that:

AB corresponds to JH

BC corresponds to HG

AC corresponds to JG

BM corresponds to HN

Hence, HN can be solved using the following equivalent ratios

[tex]AB : BM = JH:HN[/tex]

From the attachment;

[tex]AB = 21; JH = 24[/tex]

So, we have:

[tex]21 : BM = 24:16[/tex]

Express as fraction

[tex]\frac{21 }{ BM }= \frac{24}{16}[/tex]

Cross multiply

[tex]BM * 24 = 21 * 16[/tex]

[tex]BM * 24 = 336[/tex]

Solve for BM

[tex]BM = 336/24[/tex]

[tex]BM = 14[/tex]

Answer: 31.8

Step-by-step explanation:

The probability that a randomly selected point within the circle falls

in the red shaded area is; 15.9%

The area of the circle is gotten from the formula;

A = πr²

A = π * 4²

A = 50.265 cm²

Area of triangle = ¹/₂ * bh

Here b = h = 4. Thus;

A = ¹/₂ * 4 * 4

A = 8 cm²

Thus;

P(randomly selected is shaded) = 8/50.265

P(randomly selected is shaded) = 0.159 = 15.9%

Read more about probability at; https://brainly.com/question/25870256

Answer:

D, F

Step-by-step explanation:

3^4 is 81, D and F are both equal to 81.

Answer:

cos A = [tex]\frac{35}{37}[/tex]

Step-by-step explanation:

cos A = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{35}{37}[/tex]

8b+4-4b+2= 4b+6

collect the like terms and add

9514 1404 393

Answer:

  see below

Step-by-step explanation:

This is all about number sense: ordering and naming numbers. If you know your multiplication tables and a few key vocabulary words, that's all you need.

1a. perfect square

1b. irrational number

1c. greater than

__

2a. less than; greater than

2b. perfect square

2c. approximation

__

3a. square root

3b. square root

3c. approximation

3d. order; less than; less than

_____

When you fill in the blanks, the statements pretty much explain themselves.

__

Additional comment

For positive numbers, square and square root are operations that preserve order. That is, the square of a larger number is larger than the square of a smaller number. Likewise, the square root of a larger number is larger than the square root of a smaller number. Here, ...

  81 > 64 > 44   ⇔   √81 > √64 > √44.

If a number is not a perfect square (a number multiplied by itself), then its square root is irrational.

Answer:

7

Step-by-step explanation:

7 is a whole number and not a probability

Answer:

y = 5x +6

Step-by-step explanation:

the slope of the given equation is 5. a slope of a line parallel has the same slope. so 5

y- -4 = 5(x - -2)

y+4 = 5x +10

y = 5x +6

Answer:

I would say A

Step-by-step explanation:

Its way off by itself

Answer:

then ask your teacher happy birthday to u happy birthday to u

. happy to 6

Answer:

option (C) 121° is right answer

Answer:

Since p-value ( 0.4467 ) is greater than significance level ( 0.01 )

Fail to Reject Null hypothesis H₀ at 1%.

At 1% significance level, we can conclude that, population variance is maintained at historic value.

Thus, Option ((B) At alpha = 1%, they failed to reject the null hypothesis. The variance of miles per gallon for AST72 model has not decreased from the historical value of 0.35) is the correct answer.

Step-by-step explanation:

Given the data in the question;

sample size n = 24

Sample Standard deviation S = 0.58

Let δ represent the population standard deviation

so we will test;

H₀ : δ = √0.35 ≈ 0.5916

H₁ : δ < √0.35 ≈ 0.5916

Test Statistics;

we determine our test statistics as follows;

Z = [√(2(n-1))] × [ lnS - lnδ ] ~ N(0, 1 )

Now, Under H₀, [tex]Z_{obs[/tex] = [√(2(24-1))] × [ ln (0.58 / 0.5916) ]

= 6.7823 × -0.0198026

= -0.134

From z-table;

p-value = P( z < [tex]Z_{obs[/tex] ) = p( z < -0.134 ) = 0.4467

p-value = 0.4467

Since p-value ( 0.4467 ) is greater than significance level ( 0.01 )

Fail to Reject Null hypothesis H₀ at 1%.

At 1% significance level, we can conclude that, population variance is maintained at historic value.

Thus, Option ((B) At alpha = 1%, they failed to reject the null hypothesis. The variance of miles per gallon for AST72 model has not decreased from the historical value of 0.35) is the correct answer.

Answer:

why no links? also I think the answer is 5 but I'm just guessing

Answer:

g sa Bshsixuzsh- shshshakka