Which of the triangles does not have the same base length as the others?

Using the Central Limit Theorem, it is found that the standard deviation for the sampling distribution of the sample proportions is of 0.062.

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

In this problem:

Hence, the standard deviation is given by:

[tex]s = \sqrt{\frac{0.26(0.74)}{50}} = 0.062[/tex]

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A technique of expressing an equation in the most efficient form possible while altering the quality of the underlying statement is known an algebraic equation.

⇒ (- 20 - 3i) - (- 22 - 1i)

⇒ (- 20 - 3i + 22 + 1i)

⇒ (2  - 2i)

Therefore the simplification of the given expression is "(2  - 2i)"

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14 units

By find the missing angle to be 60. Use Cos = a/h

Cos60 = 7/h

x h, then ÷ by cos60

h = 7/cos60

h = 14

Hypotenuse is the longest length

Soh Cah toa

So, the last length must be 7 root 3 (12.12 to 2d.p)

(root means square root)

Hope this helps!

Answer:

216cm²

Step-by-step explanation:

SA of the rectangular prism

= 2(lb + bh + hl)

= 2(3*6 + 6*10 + 10*3)

= 2(18 + 60 + 30)

= 2(108)

= 216cm²

The larger box with all dimensions double the small box will hold 192 staplers.

We have one cubical box with a side of 6 inches.

A cube is a prism with a height equal to the side of the base.

One box contains 24 staplers.

If we make each side double we will get a total of 8 boxes same as the smaller box.

So, 8 boxes will contain = 8*24 =192 staplers.

Hence, the larger box with all dimensions double the small box will hold 192 staplers.

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Answer:

192 Staplers

Step-by-step explanation:

Answer:

y=-0.6x+1.8

Step-by-step explanation:

Since the line is perpendicular to that line, it has the same slope. So, the slope is -3/5. Also, it passes through the point 3, 0. So, y=-3/5x + b. To find the y intercept, lets solve the equation with the value of x being the x intercept. 0=-3/5(3)+b. 0=-9/5+b. Add 9/5 to both sides. b=1 4/5 So, the answer is y=-0.6x+1.8

Answer:

see below

Step-by-step explanation:

               15 x (12+2) = 210 square feet

Answer:

your answer would be 929.24856 or

≈ 929.2

Step-by-step explanation:

tan15∘ = opposite/adjacent​= x/17

tan15 ∘= x/17

tan15 /1 = x/17

1/2= 4.55514 ·17

=38.718689

38.718689 · 2 = 77.43738

(77.43738)(12)(multiply the 2)

and your answer should then be....929.24856 or 929.2

i hope i was able to help you!!!

The area of the regular pentagon is 929.2486 or 929.2.

A pentagon is geometrical shapes with" five sides and five angles". The 'pen' represents five and 'gon' represents 'angle' .

According to the question,

The regular pentagon has 'O' as its center and radius of regular pentagon is 17.

Formula for Area of regular apothem:1/2×(perimeter of polygon)× apothem

Find the length of the apothem

tan θ = [tex]\frac{opposite}{adajacent}[/tex]

To find θ

The sum of the angles divided by number of sides and to find sum of the angles is (n-2)180.

(12-2)180 = (10)(180).55

             = 1800.

To find entire interior angle 1800 divided by 8 we get 225.For the triangle  at the bottom of the diagram, the angle is half tha is 225 divided by 5 is 15°.  

tan 15° = [tex]\frac{x}{17}[/tex]

(0.2679) 17 = x

x = 4.5543

Perimeter of the polygon = (4.5543)(17)

                                          = 77.4231

Formula for Area of regular apothem:1/2×(perimeter of polygon)× apothem

=77.4231 × 12

=929.2476

Hence, The area of the regular pentagon is 929.2486 or 929.2.

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The inequalities have no solution since their graph does not intersect or overlap.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The inequality given is y<-3x-2 and y>-3x+8, if we plot the graph of the two inequalities, the graph of the inequalities will never meet at any point.

Hence, The inequalities have no solution since their graph does not intersect or overlap.

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Answer:

B. There is no solution.

Step-by-step explanation:

And katie stop deleting my answers

Answer:

I think it is 20 pi units.

Step-by-step explanation:

Given:

h= 5 units

Base area (its base is a circle. And we know, Area of the circle is pi*r^2 )

So now,

Volume of cylinder= pi*(r)^2 * h

                               = (pi*r^2) * h (the base area is given as 4 pi, so we substitute it )

                               = 4pi* 5

                               = 20 pi units.

Hope it helps........

(200/250)×100 = 80%

100 - 80 = 20%

hope it helps...!!!

Answer:

20%

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Since a rectangle has 2 sets of congruent sides we can set up the equation:

48=2x+2y

We have our x value/length (14) so we can plug that in to the equation.

48=2(14)+2y

Then we have to simplify

48=28+2y

20=2y

Then simply solve for the y value, which is your width

10=y

Answer:

2nd option

Step-by-step explanation:

given f(x) then f(x± a) is a horizontal translation of f(x)

• If + a then a shift to the left of a units

• If - a then a shift to the right of a units

g(x) = | x + 7 | ← with a = + 7

then g(x) is f(x) shifted 7 units to the left

Answer:

right all about i think all are right

Answer:

0.6*45=27

Step-by-step explanation:

You have to change 60 percent into a decimal and multiply it by 45 because there are 45 questions and you wil get 27

Answer:

92.86%

Step-by-step explanation:

Total questions, T = 50.

Colin thought 8 questions were right.

Colin got 5 questions right that he thought he got wrong.

Total score, s = 45.

So, actual number of questions which are wrong are 5.

Score according to him = 50 - 8 = 42.

Therefore, percentage accuracy he had with predicting his scores is 92.86%.  

Answer:

$20.20

Step-by-step explanation:

First Convert 20% into a decimal, by dividing it by 100

Percent = out of 100

20/100 = 0.2

Now, multiply the decimal (0.2) with the bill amount ($100.99):

0.2*100.99

$20.198 <== *remember, we are using money, so we round to the nearest cent (dime)

$20.20 <== how much tip you want to leave

How much you pay altogether:

(Bill + tip)

100.99 + 20.20

$121.19

Hope this helps!

The eggs are illustrations of normal distributions, and Jen's egg is more likely to be classified as large egg

The given parameters are:

Jen's Hen Farm

Rick's Chick Farm

The range of the egg distribution in both samples is calculated using μ ± σ

For Jen, we have:

μ ± σ = 2.11 ± 0.08

Expand

μ ± σ = (2.11 - 0.08, 2.11 + 0.08)

This gives

μ ± σ = (2.03, 2.19)

For Rick, we have:

μ ± σ = 2.15 ± 0.07

Expand

μ ± σ = (2.15 - 0.07, 2.15 + 0.07)

This gives

μ ± σ = (2.08, 2.22)

So, we have:

Jen = (2.03, 2.19): Range = 2.19 - 2.03 = 0.16

Rick = (2.08, 2.22): Range = 2.22 - 2.08 = 0.14

Eggs classified as large have the weight 2.0 < m ≤ 2.25

0.16 is greater than 0.14.

Hence, Jen's egg is more likely to be classified as large egg

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Answer:

Answer is 72°. Hope it helps.....

Based on the information given, it can be deduced that the monthly payment for the insurance plan will be A. $50.04.

insurance simply means protection from financial loss. It's simply used on hedging against the risk of uncertainty.

A deductible simply means the amount of money that an individual will pay towards an insured loss. From the table, the monthly payment for the insurance plan will be $50.04.

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Answer:

A

Step-by-step explanation:

The vertex of the function of g(x) is (5, -37).

The formula for the vertex form of a parabola is f(x) = a (x - h) 2 + k where: a = vertical stretch or shrink of the parabola and (h, k) are the (x, y) coordinates of the vertex of the parabola.

The vertex form of the parabola is given by;

[tex]\rm g(x) = 10x^2-100x+213\\\\g(x)=10(x-5)^2-37[/tex]

On comparison with the standard equation of parabola the vertex of the parabola are;

h = 5 and K = -37

Hence, the vertex of the function of g(x) is (5, -37).

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Answer:

---> The vertex of the graph is (5, –37).

--->  The parabola has a minimum.

--->  The parabola opens up.

Step-by-step explanation:

IT'S CORRECT ON PRE-TEST / ON TEST

Answer:

organism

Step-by-step explanation:

all the other anwsers are what is inside a organism

    Divide the rectangle in half vertical-wise and horzintal-wize. This creates four equal sections, or partitions the garden into quarters ([tex]\frac{1}{4}[/tex]).

See attached for an example.

    Please note you can also divide it into four portions vertically or four portions horizontally and reach the same result of four quarters.

Answer:

Solve the rational equation by combining expressions and isolating the variable

x

.

Exact Form:

x

=

−

22

−

2

√

526

27

,

−

22

+

2

√

526

27

Decimal Form:

x

=

0.88405110

…

,

−

2.51368073

…

Step-by-step explanation:

Considering it's dimensions given as improper fractions, the area of the rectangle is of 3.28125 in².

The area of a rectangle of length l and width w is the multiplication of these dimensions, that is:

A = lw.

In this problem, the dimensions in inches are given as follows.

Hence the area in squared inches is given by:

A = lw = 2.5 x 1.3125 = 3.28125 in².

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Answer:

Step-by-step explanation:

Find all the expenses:

potatoes: $6

pie: $8.4

strawberry: $4

apples: $1.49 * 5 => $7.45

total=> 6 + 8.4 + 4 + 7.45 = $25.85

Rule:

$40 = 100%

$25.85 = x%

=> x = ($25.85 * 100%) / $40 = 64.625%

hey double check if I added wrong, and if it is repeat the calculation,

hope it helps

well, the subtotal or pre-tax bill is $23.50, now let's add the 8% tax and

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8\% of 23.50}}{\left( \cfrac{8}{100} \right)23.50}\implies 1.88[/tex]

so the post-tax bill is 23.50 + 1.88 = 25.38, and Jackie's tip is 20% of that

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 25.38}}{\left( \cfrac{20}{100} \right)25.38}\implies 5.076\qquad \approx 5.08[/tex]