Find the angle measure of one internal angle for regular hexagon ABCDEF.

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:

width 14 perimeter 160 (l=66 cm)

Answer:

p is = to 3b

Step-by-step explanation:

so i did the test a

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:

Step-by-step explanation:

Let the score is x. The average is:

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:

lol I hope I'm right ...

Step-by-step explanation:

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

Answer:

angle x=123°

I hope it's 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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#SPJ6

Answer:

8

Step-by-step explanation:

Picture shows how I did it

Answer:

8 if the / means divide.

Step-by-step explanation:

Hope this helps!

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:

The data is a random sample from the population of interest

Step-by-step explanation:

.

Answer:

Step-by-step explanation:

D

Answer:

$175

Step-by-step explanation:

$100/8 hours = $12.5 hourly

$12.5 * 14 hours = $175

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:

D

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

I plugged them all into a graphing calculator

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:

[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

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:

$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:

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:

18 cm!

Step-by-step explanation:

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).

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

collect the like terms and add

Answer:

It’s the last one

Step-by-step explanation:

did this on another test yesterday