DeMarcus draws △ABC. Then he translates it along the vector (−4, −3), rotates it 180°, and reflects it across the x‐axis.


**the question with responses is on the picture**

Answer:

Step-by-step explanation:

D

Answer:

-1/2

Step-by-step explanation:

(-4, 2) and (6, -3)

Slope:

m=(y2-y1)/(x2-x1)

m=(-3-2)/(6+4)

m=(-5)/10

m= -1/2

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:

width 14 perimeter 160 (l=66 cm)

Answer:

4 4/9

Step-by-step explanation:

First, you have to set it up: 5/9 times 8/1

We made it 8/1 since it has to be a fraction in the multipying ocess and the one does not change the value.

Next, Multiply.

5/9x8/1=40/9 as an inproper fraction

As a proper fraction, it is written as 4 4/9

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:

18 cm!

Step-by-step explanation:

Answer:

lol I hope I'm right ...

Step-by-step explanation:

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

Answer:

p is = to 3b

Step-by-step explanation:

so i did the test a

Answer:

$22.00

Step-by-step explanation:

sales price x .05 = $1.90

Sales price = $1.90/.05

sales price = $38.00

total sales price less price of gloves = price of scarf

$38.00 - $16.00 = $22.00

Answer:

The data is a random sample from the population of interest

Step-by-step explanation:

.

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:

Step-by-step explanation:

Let the score is x. The average is:

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:

https://brainly.com/question/24924853

#SPJ6

Answer:

It’s the last one

Step-by-step explanation:

did this on another test yesterday

Answer:

(x-1) and (x+8).

Step-by-step explanation:

The given expression is :

[tex]x^2+7x-8[/tex]

We need to find the factors of this expression.

Product of two numbers = 8 and -1 = -8

Sum of two numbers = 8 and -1 = 7

So,

[tex]x^2+7x-8=x^2+8x-x-8\\\\=x(x+8)-1(x+8)\\\\=(x-1)(x+8)[/tex]

So, the factors of this expression are (x-1) and (x+8).

Answer:

a) 3

b) 3

c) because of the permutations and combinations involved

Step-by-step explanation:

a) Determine the smallest number of cars needed

The number of cars are the same as conflict free cars

hence we can group the friends without conflict into the same car

1st car we will have : ACFI  in it

2nd car we will have : GD  in it

third care we will have : BEJH  in it

∴ number of car needed = 3

b) number of conflict free cars = 3

c) Coloring is important in the question because of the permutations and combinations involved

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:

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:

angle x=123°

I hope it's helps you

Answer:

[tex]y = -\frac{3}{2}x[/tex]

Step-by-step explanation:

Given

Passes through: (-4,6)

Slope: -3/2

Required

The equation and graph

The equation is calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

Where

[tex]m = -\frac{3}{2}[/tex]

[tex](x_1,y_1) = (-4,6)[/tex]

So, we have:

[tex]y = -\frac{3}{2}(x --4) + 6[/tex]

[tex]y = -\frac{3}{2}(x +4) + 6[/tex]

Open bracket

[tex]y = -\frac{3}{2}x -6 + 6[/tex]

[tex]y = -\frac{3}{2}x[/tex]

See attachment for graph

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

collect the like terms and add

Answer:

D

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

I plugged them all into a graphing calculator

Answer:

$175

Step-by-step explanation:

$100/8 hours = $12.5 hourly

$12.5 * 14 hours = $175