Enter the correct value so that each expression is a perfect-square trinomial.

x2 – 10x +

Answer:

parallelogram

hope this helps you ☺️☺️

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:

<1 = <8

Step-by-step explanation:

Pair of alternate exterior angles are formed when two parallel lines are cut across by abl transversal line. The two angles are found on the other side of the parallel lines but located on opposite sides along the transversal line.

Thus, <1 and <8 are exterior angles of the parallel lines that are crossed by the transversal and they are on the alternate sides along the transversal.

Therefore, <1 and <8 form a pair of alternate exterior angles.

<1 = <8

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:

Yes

Step-by-step explanation:

The octopus chose the rectangles 68% of the time. From this observation you can tell that the octopus has learned there is food under the rectangular shape. Its cognitive abilities are less than a human's, but they are able to discern a rectangle from a circle with success.

Good luck ^^

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

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

To learn more about the probability;

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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:

p is = to 3b

Step-by-step explanation:

so i did the test a

Answer:

21❄️....................

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:

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

Answer:

g sa Bshsixuzsh- shshshakka

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

collect the like terms and add

Answer:

The measure of ∠DFE is 67°.

Step-by-step explanation:

Angle GFE is a straight angle, meaning that its measure is 180°, per se.

180 - 113 = m of ∠DFE

180 - 113 = 67

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:

$175

Step-by-step explanation:

$100/8 hours = $12.5 hourly

$12.5 * 14 hours = $175

Answer:

lol I hope I'm right ...

Step-by-step explanation:

minimum=2, maximum=10, Q1=3, median=6, Q3=8, IQR= 5

Answer:

here

h=4 in

r=8in

total surface area =2πr(r+h)=2π×8(8+4)=192π or 603.18in²

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:

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:

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:

A!! it does not equal 180 while the others do

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

An interior triangle always is 180 degrees. A. is the only answer that doesn't add up to 180 degrees.

Answer:

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

. happy to 6

Answer:

18 cm!

Step-by-step explanation: