A set of laptop prices are normally distributed with a mean of 750750750 dollars and a standard deviation of 606060 dollars. What proportion of laptop prices are between 624624624 dollars and 768768768 dollars?.

The Probability of selecting a Vowel is 21/50

What is Probability?

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

Solution:

Adding the total number of Vowels = 9 + 12 + 9 + 8 + 4 = 42

Total Number of Letters = 100

Probability of getting a Vowel = 42/100

Probability = 21/50

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The minimum sales price Zion Sun Chairs must sell each chair to earn a monthly profit of $75,000, given total monthly fixed costs of $17,363.50 and variable cost per chair of $52.17, is D. $78.01.

To compute the minimum sales price, we determine the expected total sales revenue to meet the target profit.

The total sales revenue equals the total costs and the target profit.

Using division operation, the sales price is the quotient of the total sales revenue and the number of units.

The number of beach chairs produced monthly = 3,575

Target monthly profit = $75,000

Total monthly fixed costs = $17,363.50

Variable cost per chair = $52.17

Total variable costs = $186,507.75 ($52.17 x 3,575)

Total costs (variable and fixed) = $203,871.25 ($186,507.75 + $17,363.50)

Expected total sales revenue to earn a profit = $278,871.25 ($203,871.25 + $75,000)

Selling price per unit to earn a profit of $75,000 = $78.01 ($278,871.25 ÷ 3,575)

Thus, the minimum sales price is not Options A to C, but D.

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Answer: The equation that has infinitely many solutions is -6x + 35 = -6x + 35

How to determine the equation?

An equation that has infinitely many solutions is represented as:

ax + b = ax + b

The above means that both sides of the  equations are the same

From the list of options, we have:

-6x + 35 = -6x + 35

Both sides of the  equations are the same

Hence, the equation that has infinitely many solutions is -6x + 35 = -6x + 35

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Step-by-step explanation:

Answer:

56$

Step-by-step explanation:

8$x7=56.

you just need to multiply it

By using multiplication, it can be calculated that

3 [tex]\times[/tex] 9423 = 28269

What is multiplication of integers?

At first it is important to know about integers

Integers are those numbers which has no fractional part. Integer can be positive, negative and zero is also an integer.

Repeated addition is called multiplication. Multiplication is used to find the product of two or more integers.

Here the given multiplication is 3 [tex]\times[/tex] 9423

3 [tex]\times[/tex] 9423 = 28269

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Answer: Quarter or 25%

Step-by-step explanation:

1/4 = 25%/ 100%

Or quarter

Answer:

1/4 is also called:

One Fourth

One quarter

One percent of Four

Answer:i dont now

Step-by-step explanation:

I SAID I DONT NOW

Answer:

y = -2/3x + 13/3

Step-by-step explanation:

y = mx + c

m = -2/3

y = -2/3x + c

Put in your point (2,3):

3 = -2/3 (2) + c

3 = -4/3 + c

3 + 4/3 = c

13/3 = c

so

y = -2/3x + 13/3

The snail travels at rate 0.528 in/sec.

What is rate?

A rate in mathematics is the comparison of two related values expressed in different units. The numerator of the ratio expresses the corresponding rate of change in the other (dependent) variable if the denominator of the ratio is written as a single unit of one of these quantities and it is assumed that this quantity may be modified systematically (i.e., is an independent variable).

Given that,

A snail travels at a rate of 31.68 in./min.

This means

In 60 sec the snail travels 31.68 in.

In 1 sec the snail travels (31.68/60) in = 0.528 in.

This implies that the snail travels at rate 0.528 in/sec

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Answer:

Yes, 78 is a multiple of 2. A multiple of a number is a number that can be evenly divided by that number, and 78 can be evenly divided by 2. To prove this, we can perform the division: 78 / 2 = 39. Since there is no remainder when we divide 78 by 2, this means that 78 is a multiple of 2.

Answer:

Step-by-step explanation:

[tex]\frac{9}{24} = \frac{3}{i} \\9i = 72\\i = 8[/tex]

∴ i is 8.

Answer:

y = 554.55 minutes

Step-by-step explanation:

y = 5.5/10 x

y = 5.5/10 x 305

y = (5.5 x 305) / 10

y = 1677.5 / 10

y = 554.55 minutes

Answer:

It is given that:

The equation is:

y = (5.5/10)x

Here y represents the total time in minutes and x represents the number of pages read.

Plug x = 305

y = (5.5/10)(305)

y = 167.75 minutes

Thus, it will take 167.75 minutes to read a book that has 305 pages.

Considering the figure drawn using the formula given a = 40 cm

information given in the question

hypotenuse = 85 cm

opposite = 75 cm

adjacent =  a

The problem is solved using the Pythagoras theorem is applicable to right triangle.  the formula of the theorem is

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

let a be the required dimension

85² = 75² + a²

7225 = 5625 + a²

7225 - 5625  = a²

a² = 1600

a = √1600

x = 40

The adjacent of the right triangle is solved to be 40 cm

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The number of cups of strawberries that will be needed is 10/3

From the question, we have the following parameters that can be used in our computation:

Ratio = 3 : 2

This ratio means that

Ratio = blueberries : strawberries

Substitute the known values in the above equation, so, we have the following representation

blueberries : strawberries = 3 : 2

Also, from the question, we have

blueberries = 5

This means that

5 : strawberries = 3 : 2

So, we have

strawberries/5 = 2/3

Multiply both sides by 5

strawberries = 10/3

Hence. strawberries will be 10/3 cups

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Answer:

θ = 35°

tanθ = 1

Step--step explanation:

using SOH CAH TOA

Hypotenuse = 7

opposite = 4

adjacent = needs to be found

θ = needs to be found

According to Pythagoras theorem

Hyp² = opp² – Adj²

7² = 4² – Adj²

Adj² = 49 – 16

Adj ² = 33

Adj = 5.7

what connects Hypotenuse and opposite os SOH

sinθ = opposite/Hypotenuse

sin θ = 4/7

sinθ= 0.57

divide bith sides by sin

θ = sin-¹ 0.57

θ = 34.75°

to find Tan θ TOA

Tanθ = opposite / adjacent

Tanθ = 4/5.7

Tan θ= 0.7018

Tanθ = 1

pls rate as brainliest

Answer:

39.2

Step-by-step explanation:

Avg ROC = [tex]\frac{f(b) - f(a)}{b-a} \\[/tex]

Thus

a = 0

b = 2.5

Avg ROC = [tex]\frac{98 - 0}{2.5-0} \\[/tex]

Avg ROC = 39.2

The equation should she use was k = 2p/x²

Potential energy is the power that an object can store due to its position in relation to other things, internal tensions, electric charge, or other circumstances.

Common kinds of potential energy include the gravitational potential energy of an object, the elastic potential energy of a stretched spring, and the electric potential energy of an electric charge in an electric field. The joule, denoted by the letter J, is the energy unit in the International System of Units (SI).

p=1/2kx²

To get the equivalent formula, we make k the subject

p=1/2kx²

Multiply both sides by 2

2p = kx²

Divide both sides by x²

2p/x² = k

∴ the equivalent formula is;

k = 2p/x² .

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The solutions to the inequalities are x ≤ -5, x ≥ 1 and x > 1

From the question, we have the following parameters that can be used in our computation:

-4x ≥ 20

8 ≤ -4(x - 1)

3x - 2 > 4 - 3x

Next, we solve the inequalities

Inequality 1

-4x ≥ 20

Divide both sides of the inequality by -4

So, we have the following representation

x ≤ -5

Inequality 2

8 ≤ -4(x - 1)

Divide both sides of the inequality by -4

So, we have the following representation

-2 ≥ -x - 1

Rewrite as

x + 1 ≥ 2

Evaluate the like terms

x ≥ 1

Inequality 3

3x - 2 > 4 - 3x

Add to both sides of the inequality 3x

So, we have the following representation

6x - 2 > 4

Add to both sides of the inequality 2

So, we have the following representation

6x  > 6

Divide by 6

x > 1

Hence, the solution is x > 1

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The basic difference between the addition and subtraction of polynomials has been explained below.

A polynomial is a mathematical expression containing two or more algebraic terms containing variables and their coefficients that involve operations such as addition, subtraction, and multiplication.

The basic difference between the addition and subtraction of polynomials is that since subtraction is the inverse of addition, all terms get the opposite sign upon subtraction. For example -

In addition - 2x²+3x+4 and 3x²+7x+9 are added and we get = 6x²+10x+13

In subtraction - The same polynomials are subtracted = -x²-7x-5

Henceforth, we see that the signs have changed to the opposite.

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A car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time. The speed of the car is 50 km/h. The speed of truck is 70 km/h.

You can determine an object's speed if you know how far it moves in a given amount of time. For instance, an automobile is moving at a pace of 70 miles per hour if it covers 70 miles in an hour (miles per hour).

Given,

A car travel 20kph faster than a truck. the car cover 350 km in two hours less than the time.

Let s represent the truck's speed and (s+20) represent the car's speed.

to determine each vehicle's time

Time = Speed / Distance

truck time = 350/s

Time in an automobile is 350/(s+20)

Truck time - car time = 2 hours

So,

(350/s) - [350/(s+20)] = 2

LCM is s(s+20)

[350(s+20) - 350s]/s(s+20) = 2

Cross multiplying,

350(s+20) - 350s = 2s(s+20)

Simplifying the equation,

350s + 7000 - 350s = 2s² + 40s

Now, we have quadratic equation to simplify,

2s² + 40s - 7000 = 0

Dividing the equation by 2

s² + 20s - 3500 = 0

Factorizing,

s= 50

s= -70 (impossible because of the sign)

Hence the truck's speed is s = 50 km/h.

The speed of the car is s + 20 = 70 km/h.

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C.( $100.00) is the correct answer.

If you want to know how to get that answer, simply add all of the Cash and Checks together.

Answer:

b

Step-by-step explanation:

the sum of the 3 angles in the triangle = 180° , that is

∠ 1 + 92° + 30° = 180°

∠ 1 + 122° = 180° ( subtract 122° from both sides )

∠ 1 = 58°

Answer:

[tex]\huge\boxed{\sf < 1 = 58\°}[/tex]

Step-by-step explanation:

So,

30 + 92 + ∠1 = 180

122 + ∠1 = 180

Subtract 122 to both sides

∠1 = 180 - 122

[tex]\rule[225]{225}{2}[/tex]

Answer: - 7 1/3 or -88/12 (it depends)

Step-by-step explanation:

To solve this equation, multiply the second number using it's reciprocal. A reciprocal is a flipped version of a fraction.

(3/4 to 4/3)

-22/4  x  4/3 = -88/12

Change it to a mixed number.

-7 1/3

Therefore, - 7 1/3 is the answer to this problem or keep it as -88/12.

Therefore , the upper bound of the confidence interval is  - 8.82 .

A confidence interval in frequentist statistics is a range of estimates for an unobserved parameter. The most common confidence level for computing confidence intervals is 95%, however other levels, including 90% or 99%, are sporadically employed.

Here,

n1 = 17 ; X1' = 78.4 ; s1² = 90.3

n2 = 13 ; X2' = 92 ; s2² = 107.8

Confidence interval :

(x1 - x2) ± Tcritical * [tex]\sqrt{[(sp^{2} /n1 + sp^{2}/n2)]}[/tex]

Pooled variance = Sp²

=> Sp² = (df1*s1² + df2*s2²) / (n1 + n2 - 2)

df = n - 1

Sp² = (16*90.3 + 12*107.8) / 28

Sp² = 97.8

Tcritical, 90%, df = n1 + n2 - 2 = 28 (1 - tail)

Tcritical = 1.313

(78.4-92)±1.313*sqrt[(sp²/n1 + sp²/n2)]

Margin of Error = Tcritical *[tex]\sqrt{[(sp^{2} /n1 + sp^{2}/n2)]}[/tex]

Margin of Error = (1.313 * √(97.8/17 + 97.8/13)) = 4.7771473

Upper boundary :

(78.4-92) + 4.7771473

-13.6 + 4.7771473

= -8.8228527

= - 8.82

Therefore , the upper bound of the confidence interval is  - 8.82 .

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The equation of the least-squares line when y is expressed in kilograms is y = 2114.20 + 18.96x.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more two variables.

The accompanying data resulted from an experiment in which weld diameter x and shear strength y (in pounds) were determined for five different spot welds on steel. A scatterplot shows a pronounced linear pattern.

Given the least square regression model equation:

y hat = -959.00 + 8.60x

weld diameter x ; shear strength y (in pounds)

1 lb = 0.4536 kg

To express shear strength y in kilogram:

y is multiplied by 0.4536

(y hat × 0.4536) = -959.00 + 8.60x

Divide both sides by 0.4536

(y hat × 0.4536) / 0.4536= (-959.00 + 8.60x) / 0.4536

y hat = 2114.1975 + 18.959435x

y hat = 2114.20 + 18.96x

The equation of the least-squares line when y is expressed in kilograms is y = 2114.20 + 18.96x.

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Disclaimer

The question given by you is incomplete, the above answer is done as per a similar question

The accompanying data resulted from an experiment in which weld diameter x and shear strength y (in pounds) were determined for five different spot welds on steel. A scatterplot shows a pronounced linear pattern. The least-squares line is y hat = -959.00 + 8.60x. Because 1 lb = 0.4536 kg, strength observations can be re-expressed in kilograms through multiplication by this conversion factor: new y = 0.4536(old y). What is the equation of the least-squares line when y is expressed in kilograms? (Give the answer to two decimal places.)

There are 16 different truth tables of compound propositions are there that involve the propositional variables p and q

What do you mean by compound proposition?

A truth table for compound propositions reveals the conditions under which the compound assertion is true. This uses more than one of the logical operators "and," "or," "negation," etc., but otherwise is identical to basic truth tables for these logical operators.

The variety of truth tables indicates the range of p and q-based functions that are possible.

Now that there are two propositions for which we are creating truth tables, p and q, any truth table will have four rows.

Each of these four rows can have a value of 0 or 1, hence there are a total of [tex]2^{4}[/tex]=16 possible ways in which these four rows can be given values.

Therefore, there are 16 different truth tables of compound propositions are there that involve the propositional variables p and q

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The probability of getting at least one even number and at least one odd number is (3/4).

What is the probability of getting an even number in a single-dice throw?

If we throw a die, we have six possible outcomes: {1,2,3,4,5,6}. Now:

P(E) = Favourable outcomes / Total outcomes

     = 3/6

     = 1/2

As per the question, we need at least one even number and one odd number in three throws. We know that for independent events:

P(A∩B∩C) = P(A)*P(B)*P(C)

Let A be the event of getting an even number and B be the event of getting an odd number on the dice.

P(A) = P(B) =  1/2

So, we need to have events occur like:

ABA or ABB (with all their possible combinations)

So, P(A∩B∩A) = (1/2)*(1/2)*(1/2) = 1/8

P(A∩B∩B) = (1/2)*(1/2)*(1/2) = 1/8

Possible number of combinations of ABA = 3

Possible number of combinations of ABB = 3

So, required probability = 3*(1/8) + 3*(1/8)

= 6/8

= 3/4                          

So, the Required probability is (3/4)

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