A store pays a wholesale price of $12.00 for the hat. If they plan to make a 25% profit, what will the retail price of the hat be?

Answer:

I guess it is $105.Not so sure about my answer...

The expression for the total amount of sales the store makes will be:25s + 28.8p

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

From the information, the shoe store stocks x pair of sneakers and y pairs of sandals. During a promotion, a pair of sneakers is priced at $50 and a pair of sandals at $36. The shop manages to sell half the sneakers and 80% of the sandal.

Let sneakers = s

Let sandals = p

An expression for the total amount of sales the store makes will be: 1/2(50s) + 0.8(36p).

= 25s + 28.8p

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The correct matches for the given values of x and y can be found by substituting the values in the equations which are 12-x = 3, x+3y= 27, 4y-10=14, xy=54

What is an equation?

Equation is an expression which have equality symbol in between

It means an expression in variable is equal to the constant.

We are given that x= 9 and y=6

We are asked to match the possible value

i) 12 -x

To solve this we substitute x= 9 in the equation

12-9

=3

ii) x+3y

To solve this we substitute x = 9 and y=6

9+3(6)

=9+18

=27

iii) 4y-10

To solve this we substitute  y=6

=4(6)-10

=24-10

=14

iv) xy

To solve this we substitute x = 9 and y=6

= 9(6

=54

Hence the correct matches are 12-x = 3, x+3y= 27, 4y-10=14, xy=54

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See the attached truth tables.

• A ∧ B is true only when both A and B are true

• A ⇒ B is true only when both A and B are true, or A is false. This logically equivalent to ¬A ∨ B

• ¬A is true only when A is false

• A ⇔ B is true only when both A ⇒ B and B ⇒ A are true. Equivalently, (¬A ∨ B) ∧ (¬B ∨ A)

Answer:

N(22, 2)

Step-by-step explanation:

Suppose that it takes a worker aged over 55 an average of 22 weeks to find a new job with a standard deviation of 2 weeks. The distribution is bell shaped. We summarize the

Mean time of finding a new job : μ = 22

Standard deviation ; σ = 2

Since the distribution give is bell shaped ; this defines a distributon usually described as normal which in standardized form has a mean of 0 and standard deviation of 1.

Hence, the distribution is approximately normal with mean of 22 and standard deviation of 2

X ~ N(22 , 2)

Answer:

its a square

Step-by-step explanation:

its all sides are equal so its a square

Answer:

The answer would be D: square

Solution:

From the table,

Total pitches in the strike zone = 26 + 4 = 30

The answer is 30

The estimated cost for constructing the house in New Orleans, Louisiana of the given square feet is option A. $113,750.

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Given that, construction rate per square feet is $65.

We have to find the estimated cost for a two-story home of 950 ft2 on the first floor and 800 ft² on the second floor.

Total area of the plot = 950 ft² + 800 ft²

                                   = 1750 ft²

Estimated cost can be calculated by multiplying total area with the construction rate per square feet.

Estimated cost = 1750 ft² × $65

                         = $113,750

Hence the estimated cost is $113,750.

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Answer:

Arc QR = 111.5°

Step-by-step explanation:

Given:

Arc QR = (3x + 38)°

Arc PS = (5x - 10)°

m<QMP = 68°

Required:

Measure of arc QR

Solution:

Recall: Angles of intersecting chords theorem states that the angle formed equals half of the sum of the intercepted arcs

This by implication means:

m<1 = ½(arc QR + arc PS)

We are given arc QR, and arc PS.

m<1 = 180° - m<QMP (angles on a straight line)

m<1 = 180° - 68°

m<1 = 112°

Plug in the values into the equation and solve for x

112° = ½(3x + 38 + 5x - 10)

Multiply both sides by 2

2*112 = 3x + 38 + 5x - 10

224 = 3x + 38 + 5x - 10

Add like terms

224 = 8x + 28

224 - 28 = 8x + 28 - 28

196 = 8x

196/8 = 8x/8

24.5 = x

x = 24.5

✅Let's find arc QR

Arc QR = (3x + 38)°

Plug in the value of x

Arc QR = 3(24.5) + 38 = 73.5 + 38

Arc QR = 111.5°

Answer: 3145728

Step-by-step explanation: 6 times 2, 20 times is 3145728 the equation is 6 times 2x or 6(2x)

x representing the square the king is on

Answer:

(a) Sample Standard Deviation approximately to the nearest whole number = 6

(b) The use of Empirical Rule to make any general statements about the length of eruptions is empirical rules tell us about how normal a distribution and gives us an idea of what the final outcome about the length of eruptions is.

(c) The percentage of eruptions that last between 92 and 116 seconds using the empirical rule is 95%

(d) The actual percentage of eruptions that last between 92 and 116 seconds, inclusive is 95.45%

(e) The percentage of eruptions that last less than 98 seconds using the empirical rule is 16%

(f) The actual percentage of eruptions that last less than 98 seconds is 15.866%

Step-by-step explanation:

(a) Determine the sample standard deviation length of eruption.

Express your answer rounded to the nearest whole number.

Step 1

We find the Mean.

Mean = Sum of Terms/Number of Terms

= 90+ 90+ 92+94+ 95+99+99+100+100, 101+ 101+ 101+101+ 102+102+ 102+103+103+ 103+103+103+ 104+ 104+104+105+105+105+ 106+106+107+108+108+108 + 109+ 109+ 110+ 110+110+110+ 110+ 111+ 113+ 116+120/44

= 4582/44

= 104.1363636

Step 2

Sample Standard deviation = √(x - Mean)²/n - 1

=√( 90 - 104.1363636)²+ (90-104.1363636)² + (92 -104.1363636)² ..........)/44 - 1

= √(199.836777 + 199.836777 + 147.2913224+ 102.7458678+ 83.47314049+ 26.3822314+ 26.3822314+ 17.10950413+17.10950413+ 9.836776857+ 9.836776857, 9.836776857+9.836776857+ 4.564049585+ 4.564049585+ 4.564049585+ 1.291322313+ 1.291322313+ 1.291322313+ 1.291322313+ 1.291322313+ 0.01859504133+ 0.01859504133+ 0.01859504133+ 0.7458677685+ 0.7458677685+ 0.7458677685+ 3.473140497+ 3.473140497+ 8.200413225+ 14.92768595+ 14.92768595+ 14.92768595+ 23.65495868+ 23.65495868+ 34.38223141+ 34.38223141+34.38223141+ 34.38223141+ 34.38223141+47.10950414+ 78.56404959+ 140.7458677+ 251.6549586) /43

= √1679.181818/43

= √39.05073996

= 6.249059126

Approximately to the nearest whole number:

Mean = 104

Standard deviation = 6

(b) On the basis of the histogram drawn in Section 3.1, Problem 28, comment on the appropriateness of using the Empirical Rule to make any general statements about the length of eruptions.

The use of Empirical Rule to make any general statements about the length of eruptions is empirical rules tell us about how normal a distribution and gives us an idea of what the final outcome about the length of eruptions is .

(c) Use the Empirical Rule to determine the percentage of eruptions that last between 92 and 116 seconds.

The empirical rule formula states that:

1) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

2) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

3)99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ

Mean = 104, Standard deviation = 6

For 68% μ - σ = 104 - 6 = 98, μ + σ = 104 + 6 = 110

For 95% μ – 2σ = 104 -2(6) = 104 - 12 = 92

μ + 2σ = 104 +2(6) = 104 + 12 = 116

Therefore, the percentage of eruptions that last between 92 and 116 seconds is 95%

(d) Determine the actual percentage of eruptions that last between 92 and 116 seconds, inclusive.

We solve for this using z score formula

The formula for calculating a z-score is is z = (x-μ)/σ

where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean = 104, Standard deviation = 6

For x = 92

z = 92 - 104/6

= -2

Probability value from Z-Table:

P(x = 92) = P(z = -2) = 0.02275

For x = 116

z = 92 - 116/6

= 2

Probability value from Z-Table:

P(x = 116) = P(z = 2) = 0.97725

The actual percentage of eruptions that last between 92 and 116 seconds

= P(x = 116) - P(x = 92)

= 0.97725 - 0.02275

= 0.9545

Converting to percentage = 0.9545 × 100

= 95.45%

Therefore, the actual percentage of eruptions that last between 92 and 116 seconds, inclusive is 95.45%

(e) Use the Empirical Rule to determine the percentage of eruptions that last less than 98 seconds

The empirical rule formula:

1) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

2) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

3)99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ

For 68% μ - σ = 104 - 6 = 98,

Therefore, 68% of eruptions that last for 98 seconds.

For less than 98 seconds which is the Left hand side of the distribution, it is calculated as

= 100 - 68/2

= 32/2

= 16%

Therefore, the percentage of eruptions that last less than 98 seconds is 16%

(f) Determine the actual percentage of eruptions that last less than 98 seconds.

The formula for calculating a z-score is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

For x = 98

Z score = x - μ/σ

= 98 - 104/6

= -1

Probability value from Z-Table:

P(x ≤ 98) = P(x < 98) = 0.15866

Converting to percentage =

0.15866 × 100

= 15.866%

Therefore, the actual percentage of eruptions that last less than 98 seconds is 15.866%

Step-by-step explanation:

so, what's the problem ?

it's all there, we only need to take the calculator (or simply our heads) and do the calculation :

2×5 - 5×2 = 10 - 10 = 0

you see ? that was all that was needed.

put the given values for the variables into the places of these variables, and then calculate !

that is what variables are for : placeholders for actual values.

Answer:

See attached.

Step-by-step explanation:

Accοrding tο the prοvided statement, there will be 21 favοrable results.

A cοmpοsite number is a pοsitive integer that can be fοrmed by multiplying twο smaller pοsitive integers. Equivalently, it is a pοsitive integer that has at least οne divisοr οther than 1 and itself.

A prime integer οnly has twο factοrs: οne and itself. A cοmpοund integer is made up οf at least three cοmpοnents, and οccasiοnally much mοre.

A prime number (οr a prime) is a natural number greater than 1 that is nοt a prοduct οf twο smaller natural numbers. A natural number greater than 1 that is nοt prime is called a cοmpοsite number. Fοr example, 5 is prime because the οnly ways οf writing it as a prοduct, 1 × 5 οr 5 × 1, invοlve 5 itself. Hοwever, 4 is cοmpοsite because it is a prοduct (2 × 2) in which bοth numbers are smaller than 4.

Primes are central in number theοry because οf the fundamental theοrem οf arithmetic: every natural number greater than 1 is either a prime itself οr can be factοrized as a prοduct οf primes that is unique up tο their οrder.

4, 6, 8, 9, 10, 12 - these are the cοmpοsite numbers pοssible as sum.

Favοurable number οf οutcοmes = 21 ans.

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Answer:

0.4

Step-by-step explanation:

0.35 is hundredth, and since you always round 5 up, it makes 0.4

Answer:

0.4

Step-by-step explanation:

To figure out the answer, first we need to know how to round. Find the tenths place. That's the first 3 you come upon. Look at the number beside it. It is a five which means you would round up (this is because of the 5 or more raise the floor, four or less let it rest rule) The 3 would then turn into a 4.

Answer:

The four children get 20,000$ each while the eight granchildren get 10,000$ each.

Step-by-step explanation:

Answer:

area of square = l²= 4489m²

l=√4489 = 67m

Step-by-step explanation:

2.02 into 10 raised to 7 is the answer

Answer:

----------------------

Given is the quadratic equation.

A quadratic equation has two real solutions if the discriminant is positive.

Answer:

From your selections of answers, It's B: 12 x^3 - 21 b^5, but it's not completely simplified.

Step-by-step explanation:

Simplify the following:

3 (3 x^3 - 7 b^5) + 3 x^3

3 (3 x^3 - 7 b^5) = 9 x^3 - 21 b^5:

3 x^3 + (9 x^3 - 21 b^5)

Grouping like terms, 9 x^3 + 3 x^3 - 21 b^5 = (3 x^3 + 9 x^3) - 21 b^5:

(3 x^3 + 9 x^3) - 21 b^5

3 x^3 + 9 x^3 = 12 x^3:

12 x^3 - 21 b^5

Factor 3 out of 12 x^3 - 21 b^5:

Answer:  (3 (4 x^3 - 7 b^5)) = 12 x^3 - 21 b^5

ANSWER: 18

Step-by-step explanation:

6÷1/3=18

The number of servings she will have is 18.

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

Given that,

Total quantity of the milk = 6 pint

This have to be divided in to 1/3 pint servings.

Let x be the number of servings.

We can write the equation as,

1/3 x = 6

Multiplying both sides by 3,

1/3 × 3x = 6 × 3

x = 18

Hence the total number of servings is 18.

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The per capita emissions for each country is:

Using this formula to find the  Per capita emissions for each country

Per capita emissions = C02 Emission (tons of carbon dioxide ) /  Total emissions by population

China

Per capita emissions =8,782,000,000/1,359,750,000

Per capita emissions = 6.46

United States

Per capita emissions =5,144,000,000/316,597,000

Per capita emissions= 16.25

India

Per capita emissions = 2,185,000,000 /1,233,460,000

Per capita emissions = 1.77

Russia

Per capita emissions=1,646,000,000/143,400,000

Per capita emissions = 11.48

Japan

Per capita emissions = 1,232,000,000/127,310,000

Per capita emissions = 9.68

Germany

Per capita emissions = 733,000,000/80,523,700

Per capita emissions = 9.10

Iran

Per capita emissions = 583,000,000/76,876,000

Per capita emissions = 7.58

South Korea

Per capita emissions = 576,000,000/50,219,669

Per capita emissions = 11.47

Indonesia

Per capita emissions = 535,000,000/237,641,326

Per capita emissions = 2.25

Canada

Per capita emissions = 528,000,000/35,141,542

Per capita emissions =15.02

Therefore China per capita emissions is 6.46.

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Answer:

its 35

Step-by-step explanation:

y = 6

and 6 times 6 is 36

and 36 minus 1 is 35

:)

Answer:

The exact answer is 16.6666666667. Rounded would be about 17.

Step-by-step explanation:

Hope i was right and this helped!

Answer:

200 seeds

Step-by-step explanation:

Hope this helps

Answer: Given the log function ln(100), this can therefore be written as loge(100)

Step-by-step explanation: Logarithmic functions

Logarithmic functions are inverse of exponential functions. There are different ways to write log function;

Some are written as a exponent base

Some to the base of 10

Loga is also written as log10(a)

lna is written as loge(a)

Given the log function ln(100), this can therefore be written as loge(100)

Answer: C log(10).

Step-by-step explanation: When you calculate In (10), you would be finding the value of log(10).

In mathematics, the logarithm function is used to express the exponent to which a base must be raised in order to produce a given number. The base of the logarithm is usually denoted by "b" and the number whose logarithm is being taken is denoted by "x". The logarithm of x to base b is denoted as logb(x).

For example, the logarithm of 10 to base 10 is denoted as log10(10), which is equal to 1. The logarithm of 100 to base 10 is denoted as log10(100), which is equal to 2.

In general, the logarithm of x to base b can be calculated as follows:

logb(x) = y

This equation states that b raised to the power of y is equal to x.

The natural logarithm, denoted as In, is a special case of the logarithm function where the base is the mathematical constant e (approximately 2.718). The natural logarithm of x, denoted as In(x), is equal to the logarithm of x to base e.

Therefore, when you calculate In (10), you are finding the value of the natural logarithm of 10, which is the logarithm of 10 to base e.

Option A log (10) is incorrect because it is missing the base of the logarithm (e).

Option B log₁0(e) is incorrect because it is the logarithm of e to base 10, which is not the same as the natural logarithm of 10.

Option D 10 In(e) is incorrect because it is the value of 10 raised to the power of the natural logarithm of e, which is not the same as the natural logarithm of 10.

Option C log(10) is correct because it is the natural logarithm of 10, which is the value we are trying to find. Therefore, the correct answer is C log(10).

The area of the posters is given as \(250cm*^2 and 285cm^2\)

A poster is a large sheet that is placed either in a public space to promote something or on a wall as decoration

The area of a rectangle is given as l*w or l*b

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

where b = w

Area is 10*25

Therefore the area of the poster is given as \(250cm^2\)

And the second poster is given as lbArea = 15*19 =\(285cm^2\)

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Answer: Symmetric Property

Step-by-step explanation: In this problem, notice that we're simply switching

the two sides of an equation and this idea is called the symmetric property.

The symmetric property allows us to switch the left and right

side of an equation which is why we can change n = -3 to -3 = n.

Step-by-step explanation:

I just did in the other posting. how often did you post it ?

this is a trick question. the triangle at the top is not an isoceles triangle.

we use Pythagoras for an the steps.

so, the left part of the baseline (split by the height) is calculated by

12² = 10² + part²

144 = 100 + part²

part = sqrt(44) = 6.633249581... ft

the other part is then

20 - 6.633249581... = 13.36675042... ft

and the second leg of the large triangle is

leg² = 10² + 13.36675042...² = 278.6700168...

leg = 16.69341238... ft

P = 12 + 16.69341238... + 8 + 8 + 20 = 64.69341238... ft ≈

≈ 64.69 ft

please see the answer to the other posting for more details.