I need this problem solved

The  appropriate display to show the spread of 150 test scores for Mrs. Hansen's last science test is: b.  box and whisker plot.

Box and whisker plot which is also called box plot can be defined as the plot that show a graphical presentation of data set by helping to display the data set or data score .

Hence a graphical presentation display to show the spread of 150 test scores for Mrs. Hansen's last science test is option B which is Box and whisker plot .

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The terms that explains the value of Sin(pi/3) on the unit circle would be Sin(pi/3) = Opposite side of angle.

According to the statement

we have to give the terms which explain the sin (pi/3) perfectly.

And we have choose these terms from the these below written conditions like From Right Triangle, Hypotenuse, and unit circle.

And Now we explain all terms below

So,

"Right Triangle is a triangle whose one of the angle measures 90° "

And "The hypotenuse is a longest side of the right triangle.

And"Unit Circle is a circle with radius 1."

For given question,

We have been  given a unit circle.

So, We need to find the sin (pi/3)

We know, in a right triangle for any angle , θ

Sinθ = Opposite side of angle / Hypotenuse

So, for , Sin(pi/3) = Opposite side of angle / 1

Sin(pi/3) = Opposite side of angle

Therefore, The terms that explains the value of Sin(pi/3) on the unit circle would be Sin(pi/3) = Opposite side of angle.

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 Total tax  from state and local taxes were withheld from her check:

 = $273.04

What is Percentage ?

A % is a number or ratio that, in mathematics, can be expressed as a fraction of 100. If we need to determine a percentage of a number, multiply it by 100 and divide it by the total. So, a part per hundred is what the percentage refers to. Percent signifies for every 100. The sign "percent" is used to denote it.

Solution:

Harriet earned for the month = $4334

state and local taxes are = 6.3%

                                                 = [tex]\frac{4334}{100} *6.3%[/tex]

                                                 =$273.04

Total tax  from state and local taxes were withheld from her check:

 = $273.04

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Answer:

Both expressions should be evaluated by substituting with one value for x. If the final values of the expressions are the same, then the two expressions must be equivalent.

Step-by-step explanation:

x = 1

4x - (x + 5) = 4 - 6 = -2

8 - 3x - 3 = 8 - 3 - 3 = 2

The test that represents the best choice if you wanted to compare the average mean time to repair (mttr) of your office for the last month to the division’s mttr is one sample t-test

The purpose of the one sample t-test is to determine if a sample observations could follow a specific parameter like the mean.

This test is used to determine whether an unknown population mean is different from a specific value.

one sample t-test is used to compare the mean of a single group against that of a known mean.

We wanted to compare the average mean time to repair (mttr) of your office for the last month to the division’s mttr

So this test (one sample t-test ) would be the best choice to compare mttr.

Therefore, the test that represents the best choice if you wanted to compare the average mean time to repair (mttr) of your office for the last month to the division’s mttr is one sample t-test

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i. The number of people who like banana only is 20.

ii. The number of people who like none of the fruits is zero.

iii. The number of people who like at most one fruit is 30.

The question has to do with sets.

A set a collection of well ordered items

Since we have 55 people, 3x + 5 people like banana and x + 5 people like apple. If all the people who like apple also like banana and if 2x + 15 people like at least one of fruit then, we have that

3x + 5 + x + 5 + 2x + 15 = 55

3x + 2x + x + 5 + 5 + 15 = 55

6x + 30 = 55

6x = 55 - 25

6x = 30

x = 30/6

x = 5

Since the number of people who like banana only is 3x + 5.

So, number of people who like banana only is n = 3x + 5

= 3(5) + 5

= 15 + 5

= 20

So, the number of people who like banana only is 20.

Since from the question, a person likes at least one fruit, either banana, apple or both. No one likes none of the fruits.

So, the number of people who like none of the fruits is zero.

To like at most one fruit, the person either likes apple or banana.

So, their sum is n = 3x + 5 + x + 5

= 4x + 10.

Since x = 5, we have n = 4x + 10.

= 4(5) + 10

= 20 + 10

= 30

So, the number of people who like at most one fruit is 30.

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Answer: b

///////////

Mark up = $66

Mark up on selling price = 37%

Selling price = 37%

Selling price x Mark up percentage = Mark up

Selling price x 37% = 66

Selling price = $178.38

Cost = Selling price - Mark up

= 178.38-66

= $112.38

Cost as a percentage of selling price = Cost / Selling price

= 112.38/178.38

= 63%

The selling charge is how much a purchaser pays for a product or service. it is able to range relying on how tons consumers are inclined to pay, how a whole lot the seller is inclined to just accept, and the way competitive charge is in comparison to other businesses inside the marketplace.

A sale rate is the discounted rate at which goods or services are being offered. This rate is normally offered for a restrained period of time, usually to spur income all through a slow duration or to sell off excess stock. the discount is advertised as a percentage discount from the ordinary listing charge.

Fee rate: the quantity paid to purchase a piece of writing or the fee at which an editorial is made is known as its cost charge. The value fee is abbreviated as C.P. selling price: The rate at which an editorial is sold is called its selling rate. The promoting price is abbreviated as S.P.

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A year later, Mia gained $400.

Mia invests in an index fund= $5000

The share price of the fund has grown by 8% after a year.

So, one year later Mia's investment would also increase by 8% since her invested share value has grown by 8%.

Hence, the amount of share would be = ($5000 + 8% of $5000) =($5000+$5000*8/100) = ($5000+$400) = $ 5400

Therefore, Mia's gain is $400.

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Answer:

see image

Step-by-step explanation:

The two circles will represent "starter" or "pudding" people and the overlap are both, but also don't forget people who chose neither. There must be 3-neither people. Because 6+7+8 only add to 21 and the question said there were 24 people.

Answer:

8/15 cm

Step-by-step explanation:

Volume = length x width x height

Volume = 4/5 cm x 1/5 cm x 10/3 cm

Volume = 4/25 cm x 10/3 cm

Volume = 40/75 cm = 8/15 cm

Brainliest, please :)

Answer:

[tex]\frac{8}{15}[/tex]

Step-by-step explanation:

Volume of prism = [tex]l[/tex] · [tex]w[/tex] · [tex]h[/tex]

which means

[tex]\frac{10}{3} *\frac{4}{5} *\frac{1}{5}[/tex]

which is [tex]\frac{8}{15}[/tex] by using cross simplify  

Hope this helps ;D

Using translation concepts, the correct values are given as follows:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Researching this problem on the internet, we have that:

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Answer:

1. 4x²-6x-4

2. 8x³+4x²-8x-4

3. x⁵-x⁴+3x³+x²+12

Step-by-step explanation:

1. (4x+2)(x-2)

apply foil method (a+b)(c+d)=ac+ad+bc+bd

(4x+2)(x-2)=4x.x + 4x(-2) + 2x + 2(-2)

2. (4x²-4) (2x+1)

apply the same method as question no.1

(4x²-4) (2x+1)=4x².2x + 4x².1 + -4.2x-4.1

3. (x²+3) (x³-x²+4)

Distributive parentheses

(x²+3) (x³-x²+4)= x².x³ + x²(-x²) + x².4+ 3x³+3(-x²) +3.4

There are 9 positive integers with 1 digit (1 - 9).

There are 90 integers with 2 digits (10 - 99).

There are 900 integers with 3 digits (100 - 999).

There are 9000 integers with 4 digits (1000 - 9999).

And so on. It stands to reason that there are [tex]9\times10^{n-1}[/tex] integers with [tex]n[/tex] digits.

Now,

1000 = 9 + 900 + 91

so the 1000th positive integer with an odd number of digits is the 91th number with 3 digits, which is 190.

Answer:

p ≈ 7.3 m

Step-by-step explanation:

using the Sine Rule in the triangle

[tex]\frac{p}{sinP}[/tex] = [tex]\frac{r}{sinR}[/tex] ( substitute values )

[tex]\frac{p}{sin40}[/tex] = [tex]\frac{10}{sin62}[/tex] ( cross- multiply )

p × sin62° = 10 × sin40° ( divide both sides by sin62° )

p = [tex]\frac{10sin40}{sin62}[/tex] ≈ 7.3 m ( to the nearest tenth )

Answer:

[tex]\fbox {p = 7.3 m}[/tex]

Step-by-step explanation:

Applying the Law of Sines :

[tex]\boxed {\frac{sin R}{PS} = \frac{sin P}{RS}}[/tex]

Substitute the values :

The equation that is represented by the graph below is y = e^x - 4.

From the graph, it can be seen that the only exponential function n to hat intercept the function at equal to 3 is y = e^x - 4.

Let's equate y to 0.

y = e^x - 4.

e^x - 4 = 0

e^x = 4

In(e^x) = In(4)

x = 1.386

The x intercept is located at (1.386, 0).

In conclusion, the correct option is D.

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Answer:

24 cm³

Step-by-step explanation:

V = LWH = 2 × 3 × 4 cm³ = 24 cm³

Answer:

12 feet.

Step-by-step explanation:

1 inch = 4 feet.

Multiply 3 by 4.

3×4=12

I multiplied 3 by 4 because 1-inch equals 4 feet, which means if we multiply both terms by 3, you will get 3 inch = 12 feet.

Hope this helps!

The expression that is not equivalent to (1 - sin²(x)) tan(-x) is D. (cos²x - 1)(cot -x).

It should be noted that (cos²x - 1)(cot -x). is not equivalent to the given expression.

This is illustrated as:

(cos²x - 1)(cot -x)

= (-sin²x) × (-cot x)

= sin²x × cosx/sin x = sinxcosx

In conclusion, the correct option is D.

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The expression _______ is not equivalent to (1 − sin2(x)) tan(-x).

a. (1 - cos^2(x)) cot(-x)

b. (cos^2(x) - 1) cot(x)

c. (sin^(x) - 1) tan(x)

d. (cos^2(x) - 1) cot(-x)

Answer:

4

Step-by-step explanation:

If the probability of drawing a yellow jelly beans is 1/4, the box is has 1/4 yellow jellybeans.

1/4b=6

b=24

14+6+x=24

20+x=24

x=4

Answer:

36 blue jelly beans

Step-by-step explanation:

We can find the total number of jelly beans by adding all red, yellow, and blue jelly beans together.

14+6+x

This simplifies to 20+x

For probability, it is (the number of things you want)/(the total number of things there are).

If the probably of drawing a yellow jelly bean is 1/4, we can set up this equation:

[tex]\frac{14}{20+x}=\frac{1}{4}[/tex]

We can cross multiply:

[tex]20+x=14(4)\\x+20+56\\x=36[/tex]

There are 36 blue jelly beans.

Answer:1.166 reams of paper.

Step-by-step explanation:

Just use simple division and divide 7/6.

Each classroom will get  [tex]\dfrac{7}{6}[/tex]  paper when there are 6 fifth grade classrooms that share 7 packs of paper.

A fraction is defined as a part of a whole. The upper part of the fraction is called the numerator, and the lower part is called the denominator.

Given that:

Number of fifth grade classrooms = 6

Number of packs of paper = 7

The number of paper each classroom get in fractions can be obtained by dividing the number of packs of paper by the number of fifth grade classrooms.

Each classroom get = [tex]\dfrac{Number \ of \ packs \ of \ paper}{ \ Number \ of \ fifth \ grade \ classrooms}[/tex]

Each classroom get = [tex]\dfrac{7}{6}[/tex]

Each classroom will get  [tex]\dfrac{7}{6}[/tex]  paper.

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The two odd numbers are 43 and 37.

Whole numbers are positive numbers belonging to the set W ∈ {1, 2,3, 4, ...}

The two odd numbers can be represented as (2m-1) and (2n-1) respectively sum=80 and difference = 6

Let m and n be two whole numbers

Therefore

,[tex]2m-1) + (2n-1)= 80\\(2m-1) - (2n-1)= 6\\\\2(m+n-1)=80\\2(m-n)=6\\\\m+n = 41\\m-n=3\\[/tex]

Adding the two equations

[tex](m+n)+(m-n)=2m=44\\m=22\\n=m-3=19\\[/tex]

so m=22 ad n=19. our two odd numbers are 2m-1 = 43 and 2n-1 = 37

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Evaluating the given expressions and inequalities, we have;

[tex]11) \: \frac{x}{4} \cdot \left(2 + y - x \right) = 4[/tex]

12) (8•a - 5•b) - 2•(a + b) = 4

[tex] 13) \: \frac{p \cdot (p + {a}^{2} )}{6} = 55 [/tex]

[tex] 14) \: 3\cdot m - \frac{2\cdot m}{2} +\frac{n}{3} = 12 [/tex]

[tex] 16) \: x \geq 11\frac{2}{3} [/tex]

17) k > 9

18) v > 9

20) m ≤ 16

The given expressions are;

[tex]11) \: \frac{x}{4} \cdot \left(2 + y - x \right)[/tex]

Where x = 4, and y = 6, we have;

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

Therefore;

[tex]\frac{x}{4} \cdot \left(2 + y - x \right) = 4[/tex]

12) (8•a - 5•b) - 2•(a + b)

Where a = 3 and b = 2, we have;

(8•a - 5•b) - 2•(a + b) = (8×3 - 5×2) - 2•(3 + 2) = 4

Therefore;

[tex]13) \: \mathbf{\frac{p \cdot (p + {a}^{2} )}{6}} [/tex]

Where a = 7, and p = 6, we have;

[tex] \frac{p \cdot (p + {a}^{2} )}{6} = \mathbf{ \frac{6 \times (6 + {7}^{2} )}{6}} = 55 [/tex]

Therefore;

[tex] \frac{p \cdot (p + {a}^{2} )}{6} = 55 [/tex]

[tex]14) \: \mathbf{3\cdot m - \frac{2\cdot m}{2} +\frac{n}{3} } [/tex]

Where m = 5, and n = 6, we have;

[tex] 3\cdot m - \frac{2\cdot m}{2} +\frac{n}{3} = \mathbf{3\times 5 - \frac{2\times 5}{2} +\frac{6}{3} }= 12 [/tex]

Therefore;

[tex] 3\cdot m - \frac{2\cdot m}{2} +\frac{n}{3} = 12 [/tex]

[tex]16) \: \mathbf{1 \frac{1}{6} }\leq \frac{x}{10} [/tex]

Which gives;

[tex] \frac{7}{6} \times 10 \leq x [/tex]

[tex] \mathbf{ \frac{35}{3} }\leq x [/tex]

[tex] x \geq 11\frac{2}{3} [/tex]

17) 20 < k + 11

Therefore;

k > 20 - 11 = 9

18) 6•v > 54

v > 54 ÷ 6 = 9

Therefore;

[tex]20) \: 8 \geq \mathbf{ \frac{m}{2}} [/tex]

Therefore;

2 × 8 = 16 ≥ m

Which gives;

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The transformations that are applied to pentagon ABCDE to create A"B"C"D"E" are:

1) Translation (x, y) → (x + 8, y + 2)

2) Reflection across the x-axis (x, y) → (x, -y)

So, the overall transformation given in the graph is (x, y) → {(x + 8), -(y + 2)}.

The transformation rules are:

The pentagons in the graph have vertices as

For the pentagon ABCDE: A(-4, 5), B(-6, 4), C(-5, 1), D(-2, 2), and (-2, 4)

For the pentagon A"B"C"D"E": A"(4, -7), B"(2, -6), C"(3, -3), D"(6, -4), and E"(6, -6)

Consider the vertices A(-4, 5) from the pentagon ABCDE and A"(4, -7) from the pentagon A"B"C"D"E".

Applying the Translation rule for the pentagon ABCDE:

The rule is (x, y) → (x + a, y + b)

So, the variation is

-4 + a = 4

⇒ a = 4 + 4 = 8

5 + b = 7

⇒ b = 7 - 5 = 2

So, the pentagon ABCDE is translated by (x + 8, y + 2).

Applying the Reflection rule for the translated pentagon:

The translated pentagon has vertices (x + 8, y + 2).

When applying the reflection across the x-axis,

(x + 8, y + 2) → {(x + 8), -(y + 2)}

Therefore, the complete transformation of the pentagon ABCDE to the pentagon A"B"C"D"E" is (x, y) → {(x + 8), -(y + 2)}

Verification:

A(-4, 5) → ((-4 + 8), -(5 + 2)) = (4, -7)A"

B(-6, 4) → ((-6 + 8), -(4 + 2)) = (2, -6)B"

C(-5, 1) → ((-5 + 8), -(1 + 2)) = (3, -3)C"

D(-2, 2) → ((-2 + 8), -(2 + 2)) = (6, -4)D"

E(-2, 4) → ((-2 + 8), -(4 + 2)) = (6, -6)E"

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160 ounces is the answer

16 ounces per pound

16x10=160

First put to find the weight in ounces, *multiply* the number of pounds by the unit rate, 16 ounces per pound. Then put 10 pounds = *160 ounces.*

An ounce is the designation of several different units of mass, weight, or volume, and is largely unchanged from the ancient Roman unit of measurement, uncia. Avoirdupois ounces are 1⁄16 Avoirdupois pounds. This is a US standard and an ounce of the British Empire.

oz [Ouns] n. A unit of weight in the US customary unit, an avoirdupois unit equal to 437.5 grains or 28.35 grams. A pharmacist's weight unit is equivalent to 480 grains or 31.10 grams.

oz, equivalent to 1/16 pound (437 1/2 grain) on the Avoirdupois system and 480 grains or 1/12 pound on the Troy and pharmacist system. Avoirdupois ounces are equivalent to 28.35 grams and pharmacist ounces are equivalent to 31.103 grams.

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p→r

The law of syllogism, also known as transitivity reasoning, is a legitimate kind of deductive reasoning that adheres to a predetermined pattern. The transitive property of equality states that if a = b and b = c, then a = c. so we can conclude that The law of syllogism is almost  similar to the transitive property.

now if we want to define general case then we can say tha

a→b

and

b→c  => a→c

now according to statements given in the problem

p→q and q→r ⇒ p→r

which completes the syllogism.

hence ,  p→r is the required answer.

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Answer:

[tex]\frac{\sqrt{3} }{6}[/tex]

Step-by-step explanation:

using the 30- 60- 90 triangle for exact values , then

tan60° = [tex]\sqrt{3}[/tex] , and

cot60° = [tex]\frac{1}{tan60}[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex]

cos60° = [tex]\frac{1}{2}[/tex]

cot60° cos60°

= [tex]\frac{1}{\sqrt{3} }[/tex] × [tex]\frac{1}{2}[/tex]

= [tex]\frac{1}{2\sqrt{3} }[/tex] ← rationalise the denominator by multiplying by [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex]

= [tex]\frac{1}{2\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex]

= [tex]\frac{\sqrt{3} }{6}[/tex]

The answer is [tex]\boxed {\frac{1}{2\sqrt{3}}}[/tex]

The needed trigonometric values :

Hence, the value of the expression is :

The simplification of the polynomial expression will give 3x² - 20x + 8.

The polynomial expression is given as:

(5x² + 13x4) (17x² + 7x - 19) + (5x-7)(3x + 1)

= 5x² + 13x - 4 - 17x² - 7x + 19 + 15x² + 5x - 21x - 7

Then collect like terms

= 5x² + 15x² - 17x² + (13x - 7x + 5x - 21x) - 4 - 7 + 19

= 3x² - 20x + 8.

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Answer:

27.7 m²

Step-by-step explanation:

     In regular polygon, all the sides and angles are equal. The polygon in the picture is a equilateral triangle.

 a = 8 m

 √3 = 1.732

   [tex]\sf \boxed{\bf Area \ of \ equilateral \ triangle= \dfrac{\sqrt{3}a^2}{4}}[/tex]

                                                       [tex]\sf =\dfrac{1.732 * 8 * 8 }{4}\\\\ = 1.732*2*8\\\\= 27.71\\\\= 27.7 \ m^2[/tex]