How do I solve for IQR?

Mrs. Jack received $1299.35 after selling all of the T-shirts

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, The T-shirts are sold at $19.99 each.

Mrs. Jack has 65(assuming) of them.

Therefore, the total amount of money Mrs. Jack received after selling

can be obtained by multiplying the cost of each T-shirt by the total number of T-shirts which is,

= $19.99×65.

= $1299.35.

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Answer:

1/4(1/4)=1/16, or 6.25% chance.

Step-by-step explanation:

There are 13 spades in a deck of 52 cards. This is a 13/52, or 1/4 chance of selecting one. As the cards are replaced we just multiply the probabilities of picking a spade.

I hope this helps!

The expression that models the length of the second leg of the triangle is 2x - 3.

Recall:

The area of a triangle = \(\frac{1}{2} bh\)

Given:

Area of triangle = \(\frac{1}{2} (6x^2 - 7x - 3)\)

Length of one of the legs = 3x + 1

Therefore, it means that multiplying both legs should give us:

\(6x^2 - 7x - 3\)

To find the expression that models the other leg, divide \(6x^2 - 7x - 3\) by 3x + 1:

\(\frac{6x^2 - 7x - 3}{3x - 1}\)

\(\frac{6x^2 - 2x - 9x - 3}{3x - 1}\\\\\frac{2x(3x - 1) - 3(3x - 1)}{3x - 1}\\\\\frac{(2x- 3)(3x - 1)}{3x - 1}\)

\(\frac{(2x- 3)(3x - 1)}{3x - 1} = 2x- 3\)

Therefore, the expression that models the length of the second leg of the triangle is 2x - 3.

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Answer:

C

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

x = 75°

yes x = 75°(OPPOSITE ANGLES ARE EQUAL)

..

The sample data provides sufficient evidence to conclude that the population proportion is greater than 0.17 at 1% level of significance.

One can define a null hypothesis as a declaration that postulates no noteworthy variance or association between two or more variables existing within a populace.

Usually utilized in statistical hypothesis testing, it evaluates if an observed effect or relation is statistically meaningful or arises purely by chance.

It often bears the insignia H0 and subject to an alternative proposition (Ha) signifying a significant outcome or connection instead. Whenever the null hypothesis gets dismissed, one may deduce that there are ample findings to sustain the alternate assertion's validity.

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Answer:

3/8

Step-by-step explanation:

hope it helps :)

Each function on the left should be matched to all points on the right that would be located on the graph of the function as follows;

f(x) = 2x + 2         ⇒   (0, 2).

f(x) = 2x² - 2        ⇒   (-1, 0).

\(f(x) = 2\sqrt{x+1}\)   ⇒   (0, 2).

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

Next, we would determine the point or ordered pair that represent a solution on the graph of each of the function as follows;

For the ordered pair (0, 2), we have:

f(x) = 2x + 2

2 = 2(0) + 2

2 = 2 (True).

For the ordered pair (-1, 0), we have:

f(x) = 2x² - 2

0 = 2(-1)² - 2

0 = 2 - 2

0 = 0 (True).

For the ordered pair (0, 2), we have:

\(f(x) = 2\sqrt{x+1}\\\\2= 2\sqrt{0+1}\\\\2 = 2\sqrt{1}\)

2 = 2 (True).

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Answer:

the first one since it shows all the lines being equal and therefore making the angles equal

Answer:

AB=DE, BC=EF, AC=DF

Step-by-step explanation:

The first one is correct

Answer:

2,080calories

Step-by-step explanation:

1569/75 = x/100 (cross multiplication)

(1560 * 100) / 75

= 2,080

The average daily requirement of calories is 2080

We have:

Cheesecake = 1560 calories

Content = 75% average daily requirement

Let the average daily requirement be x.

So, we have:

75% * x = 1560

Divide both sides by 75%

x = 2080

Hence, the average daily requirement of calories is 2080

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a) (150 - 138) / 12 = 1 deviation or 34%

(162 - 150) / 12 = 1 deviation or 34%

34% + 34% = 68%

b) (150 - 126) / 12 = 2 deviations or 47.5%

(174 - 150) / 12 = 2 deviations or 47.5%

47.5% + 47.5% =95%

c) (150 - 126) / 12 = 2 deviations or 47.5%

(162 - 150) / 12 = 1 deviation or 34%

47.5% + 34% = 81.5%

d) (162 - 150) / 12 = 1 deviation or 34%

(174 - 150) / 12 = 2 deviations or 47.5%

This problem is a little different. We have to subtract 34% from 47.5%

47.5% - 34% = 13.5%

Answer:

Second option is the correct answer.

Step-by-step explanation:

\( \frac{2}{3} x - 5 > 3 \\ \\ \frac{2}{3} x > 5 + 3\\ \\ \frac{2}{3} x > 8 \\ \\ x > 8 \times \frac{3}{2} \\ \\ x > 12\)

Answer:

0,4, That is the y intercept.

Step-by-step explanation:

Hope I helped :)

Answer:

Dividing by 5

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Arrange into parentheses and start at the innermost parentheses

\(5 + (2 \times (6 + (3 \div 3)))\)

Start with 3 ÷ 3

\(3 \div 3 = 1\)

Continue with the other parts of the equation in order

\(1 + 6 = 7\\7 \times 2 = 14\\14 + 5 = 19\\= 19\)

Hope this helped you understand better, have a great day!

This axiom says that there is no upper bound to the number of elements that a set can have, thus, sets with infinite elements do exist.

First, we need to give the definition of an axiom. This is a proposition that is assumed to be true, and don't need a demonstration.

Axioms are the logical base of mathematics, so these are usually used to define concepts or basic rules.

In set theory,  the axiom of infinity just claims (and because it is an axiom, it must be true) that there are sets that have a infinite number of elements.

A trivial case is the set of real numbers, which we know has infinite elements because there are infinite real numbers.

So there is not a maximum for the number of elements that a set can have.

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Answer:

hexagon and triangle

Step-by-step explanation:

Answer:

Hexagon- Regular

Triangle- Not regular

Answer:

The volume of fish tank A is 200  cubic feet, and the volume of fish tank B is 160  cubic feet. So fish tank  A

has a greater volume. Its volume is greater by  40  cubic feet.

-

I just finished the Unit Test and got it right, so I hope this helps.

(Bold is the answer(s) for each slot)

Answer:

511 million km²

Step-by-Step Explanation:

Let the total surface area of the Earth be x.

Water covers 70.7% of the total surface area of the Earth, i.e.,

70.7% of x = 3.61 x 10⁸ km²

or, 70.7x /100 = 3.61 x 10⁸ km²

or, 707x/1000 = 3.61 x 10⁸ km²

or, 707x = 3.61 x 10⁸ x 1000km²

or, 707x = 3.61 × 10^11 km²

or, x = 0.0051 × 10^11 km²

or, x = 5.1 × 10⁸ km² = 511 million km²

Hope it helps.

If you have any query, feel free to ask .

Answer:

511 million km²

Step-by-step explanation:

Let x be the approximate total surface area of the Earth.

Given water covers 70.7%, or about 3.61 × 10⁸ km², set up an equivalent ratio of percent (in decimal form) to area:

\(\implies 0.707:3.61 \times 10^8=1:x\)

Solve for x:

\(\implies\dfrac{0.707}{3.61 \times 10^8}=\dfrac{1}{x}\)

\(\implies0.707x=3.61 \times 10^8\)

\(\implies x=\dfrac{3.61 \times 10^8}{0.707}\)

\(\implies x=\dfrac{3.61 }{0.707}\times 10^8\)

\(\implies x=5.10608203...\times 10^8\)

One million has 6 zeros and can be written in scientific notation as:

Therefore, to write x in millions as x × 10⁶, subtract 2 from the exponent and move the decimal point to the right by 2 places:

\(\implies x=510.608203...\times 10^6\)

Therefore, the approximate surface area of the Earth is 510.608203... million km², which is 511 million km² to the nearest million.

The value of the conditional Probability is P(A|B) is 1/3.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

The main distinction between a probability and a conditional probability is that a probability is the likelihood of an event, such as A, occurring, whereas a conditional probability assumes that another event, such as B, has already happened in order to define the probability of an event, such as in the conditional probability of A given B.

Conditional probability is the likelihood that any event A will occur in the presence of another event B that is related to A. P(A|B) illustrates it.

By, Conditional Probability :

P (A∩B) =P (A∩B') - P(B)= 4/9 - 1/3 = 1/9

P(A|B) = P (A∩B)/ P(B)

           = (1/9)/(1/3) =  1/3

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Answer:

  61.03°

Step-by-step explanation:

You want the angle opposite the side of length 7 in the triangle with other sides of lengths 4 and 8.

The law of cosines relates the angles of a triangle to the side lengths. For triangle ABC with opposite sides a, b, c, the relation is ...

  c² = a² +b² -2ab·cos(C)

Solving for angle C, we have ...

  cos(C) = (a² +b² -c²)/(2ab)

  C = arccos((a² +b² -c²)/(2ab))

In this triangle, that means ...

  C = arccos((4² +8² -7²)/(2·4·8)) = arccos(31/64)

  C ≈ 61.03°

The angle of interest is about 61.03°.

__

Additional comment

We get the same result from a triangle solver. See the second attachment. (The angle we want is angle B in that attachment.)

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Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

Option C - y = cos(x + 5π) is the equation that most closely represents the graph. See attached graph.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal.

The graph of y = cos(x + 5π) is a cosine function that is shifted horizontally 5 units to the left compared to the standard cosine function.

The function is a periodic function that oscillates between -1 and 1, with each cycle shifted 5 units to the left compared to the standard cosine function.

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The number of bottles of tonic that must be sold to make at least $130 in profit is [10, 75]

The profit function is given as

P(x) = -x^2 + 85x - 620

The earnings are given as

Earnings = at least $130

This means that

P(x) ≥ 130

So, we have

-x^2 + 85x - 620 ≥ 130

Subtract 130 from both sides of the inequality

So, we have

-x^2 + 85x - 750 ≥ 0

Divide through by -1

So, we have

x^2 - 85x + 750 ≤ 0

Expand the expression

x^2 - 75x - 10x + 750 ≤ 0

Factorize

x(x - 75) - 10(x - 75) ≤ 0

Factor out x - 75

(x - 75)(x - 10) ≤ 0

Split

x - 10 ≤ 0 and x - 75 ≤ 0

Solve for x

x ≤ 10 and x ≤ 75

Combine the inequality

10 ≤ x ≤ 75

Express as interval

10 ≤ x ≤ 75 = [10, 75]

Hence, the number of bottles is [10, 75]

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Answer:

b and 288

Step-by-step explanation:

ywwwwwwwwwwww

The solution for x from the linear equation is x=(n+p)/m .

Linear equation is a equation where the greatest degree of the variable is 1 in the equation.

A basic linear equation in the variable x is of the form ax+b =0 where b is a constant and a is the co-efficient of x.

To solve a linear equation for x we use the simple mathematical operations to make x the subject of the formula.

Given equation is:

mx=n+p

We have to find the value of x.

So we can see that the variable x has a constant co-efficient m

to make x the subject we divide both sides of the equation by m.

Therefore:

mx÷m=(n+p)÷m

or, x=(n+p)/m

So on solving the linear equation we get the value of x as (n+p)/m

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Answer:

F

Step-by-step explanation:

64x³ = -1

x³ = -1/64

x = ∛-1/∛64

x = -1/4

Answer:

x = - \(\frac{1}{4}\)

Step-by-step explanation:

64x³+1=0

Add 1 to both sides:

64x³=-1

Divide both sides by 64:

x³=-\(\frac{1}{64}\)

Find cubed root of both sides:

x=-\(\sqrt[3]{\frac{1}{64}}\)

Note that \(\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}\) :

x=-\(\frac{\sqrt[3]{1} }{\sqrt[3]{64} }\)

Evaluate:

x = - \(\frac{1}{4}\)