Six out of the 12 members of the school choir boys. In the simplest form, what fraction of the choir is boys? Pls help out with this question

The correct statement that represents all the solutions of the inequality "h > 11 2" is: "all rational numbers greater than 1 and one-half."

When we look at the options provided, we can eliminate "all rational numbers less than 1 and one-half" and "all fractions greater than 1 and one-half" because they do not satisfy the condition of 'h' being greater than 11/2.

Next, let's consider the option "all rational numbers equal to 1 and one-half." This option represents only one specific value, which is 1 1/2 or 3/2. However, the inequality states that 'h' should be greater than 11/2, so this option does not include all the solutions.

That leaves us with the option "all rational numbers greater than 1 and one-half." This option includes all values greater than 1 1/2 or 3/2, which satisfies the condition of 'h' being greater than 11/2. It covers the range of values from 3/2 to positive infinity, including all rational numbers that are greater than 11/2.

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Answer:1 2/4

Step-by-step explanation:

The probability that the chosen number selected satisfies the given condition is given below.

Probability is the measure of the likeliness of an event to happen.

The probability has a range from 0 to 1, 0 denotes uncertainty, and 1 indicates certainty.

The set is numbers from 1 to 50.

The chosen number is not a perfect square,

The perfect square numbers are 1, 4, 9, 16, 25, 36, and 49.

The chosen number is not a perfect square, 50 - 7 = 43.

The probability that the chosen number is not a perfect square = 43/50

It is not a multiple of 4

Multiples of 4 are 4,8,12,16,20,24,28,32,36,40,44,48 are 12 numbers

The chosen number is not a multiple of 4 = 50 -12 = 38

The probability that the chosen number is not a multiple of 4 = 38/50

It is more than 45.

The number more than 45 is 5

The probability that the chosen number is more than 45 is,

=  5/50

= 1/10

It is not more than 45.

The number not more than 45 is 45.

The probability that the chosen number is not more than 45 is,

= 45/50

= 9/10

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Answer:

1

Step-by-step explanation:

As rain drop and sink through the rock, it often solvates some of the iron. It conveys that iron along with it as it continues to seep through the rock and soil.

When the rainwater becomes groundwater or dart into freshwater sources like lakes and rivers, it may become the part of the local water supply.

Municipal water systems that get their water from these sources can end up with high levels of iron in their water, and the riddle they have set up to remove bacteria and other harmful contaminants may not always riddle it out.

Wells that portray water from aquifers with high iron content may contain high iron concentrations as well.

Iron in water generally takes two types of ferrous iron, which is soluble in water, and next one is ferric iron, which is insoluble.

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Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

Answer:

Tommy's age is 9 years old.

Timmy's age is 14 years old.

Step-by-step explanation:

Take Tommy's age to be x and Timmy's age to be x+5

x+x+5=23

2x+5=23

2x=23-5=18

x=18÷2=9

x+5=9+5=14

The total price of the vehicle would be $18,192.88.

The total deferred price of the car would be $11,191.60.

The length of the financing agreement is 68 months .

The total deferred price after the payments was $19,601.84.

The monthly payments would be $516.92.

Subtotal = Base price + Options + Destination charges

Subtotal = $14,500 + $982 + $592 = $16,074

Dealer preparation = 5% of subtotal

Dealer preparation = 0.05 x $16,074 = $803.70

Sales tax = 7% of subtotal

Sales tax = 0.07 x $16,074 = $1,125.18

Total price = Subtotal + Dealer preparation + Sales tax + Tag fee + Title fee

Total price = $16,074 + $803.70 + $1,125.18 + $145 + $45 = $18,192.88

Tax = 8% of selling price = 0.08 x $8,850 = $708

Tag fee = $130

Title fee = $35

Total amount financed = Amount financed + Tax + Tag fee + Title fee = $7,350 + $708 + $130 + $35 = $8,223

Annual interest rate = 9.5%

Number of years financed = 3

Total finance charges = $8,223 x 0.095 x 3 = $2,341.595

Total financed amount = $8,223 + $2,341.595 = $10,564.595

Monthly payments = Total financed amount / (Number of years financed x 12 months) = $10,564.595 / (3 x 12) = $293.4615

Total deferred price = Selling price + Total finance charges = $8,850 + $2,341.595 = $11,191.595

Total deferred price = $28,000

Down payment = $2,100

Total amount financed = Total deferred price - Down payment = $28,000 - $2,100 = $25,900

Monthly payments = $380

Number of months = Total amount financed / Monthly payments = $25,900 / $380 = 68.16

The financing agreement is approximately 68 months long.

Sticker price = $19,200

Discount = 6% of sticker price = 0.06 x $19,200 = $1,152

Selling price = Sticker price - Discount = $19,200 - $1,152 = $18,048

Sales tax = 8% of selling price = 0.08 x $18,048 = $1,443.84

Total price = Selling price + Sales tax + Tag fee + Title fee = $18,048 + $1,443.84 + $65 + $45 = $19,601.84

Using the formula for monthly payments on a loan:

P = (PV x r x (1 + r)^ n) / ((1 + r) ^ n - 1)

= ($26,515.80 x 0.005265 x (1 + 0.005265) ^ 60 ) / ((1 + 0.005265) ^ 60 - 1) = $516.92

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Answer:

true

Step-by-step explanation:

The correct graph that matches the given function is option (C).

To graph a function, select x-values and input them into the equation. Once those values have been put into the equation, you will get a y-value. The x and y values together make up a single point's coordinates.

Option is the appropriate graph for the specified function (C).

For x -2, the function is f(x) = (x+5), which is a half-parabola that starts at (5, 0) and travels through (2, 3) before opening towards the positive y-axis. Both (A) and (B) are incompatible with this aspect of the function.

The function is f(x) = |x+1| for -2 x 2, which is a V-shaped graph with an upward opening and a vertex at (1, 0). This portion of the function is covered by Option (C).

When x is greater than 2, the function is f(x) = (x2)2, which is a parabola with an upward opening and a vertex at (2, 0). This portion of the function is covered by Option (D).

No portion of the function matches option (E).

Thus, option is the appropriate graph that matches the specified function (C).

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Answer:

(8n^4-6n+8n^2)+(6n^4-4)​

8n^4 + 8n^2 - 6n + 6n^4 - 4

14n^4 + 8n^2 - 6n - 4

Step-by-step explanation:

Using the normal distribution, it is found that the z-scores are:

a) z = -1.5

b) z = 1.9

c) z = 0

In normal distribution with mean 'μ' and the standard deviation 'σ', the z-score of a measure X is given by:

z = x-μ/σ

It measures how many standard deviations the measure is from the mean, either above the mean(positive z-score), or below(negative z-score).

For first blank: 1.5 standard deviations below the mean, hence z = -1.5.

For second blank: 1.9 standard deviations below the mean, hence z = 1.9.

For third blank: The mean is 0 standard deviations from itself, hence z = 0.

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Answer:

28 lb

Step-by-step explanation:

If 1 lb of applies is $2, then 56 / 2 is the number of pounds sold.

Answer:

ASA

Step-by-step explanation:

These two are congruent. You have a given angle that is marked in each triangle

You have a side that is marked in each triangle

You have two vertically opposite angles that are equal.

The triangles are congruent by ASA.

The simplified expression of the radical expression ∛135a¹³ is (135a¹³)¹/³

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

A radical expression

The radical expression is given as

\sqrt[3]{135^{a13}}

Represent the expression properly

So, we have the following representation

∛135a¹³

Apply the exponent rule of indices

This gives

∛135a¹³ = (135a¹³)¹/³

135 and a¹³ are not perfect cube root expressions

This means that the expression cannot be further simplified

Hence, the solution is (135a¹³)¹/³

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The possible first mistake Noah made in the evaluation of the sine and cosine of the acute angles of a right triangle is that the acute angles are complementary and are not always congruent. The correct option is the  option (A).

(A) Angles ∠B and ∠C are complementary, not congruent

Complementary angles are angles that when added together are equivalent to 90°

The possible two column table Noah used to attempt to prove that cos(θ) = sin(θ) obtained in a similar proof on the website can be presented as follows;

Statement \({}\)                   Reason

1 m∠B = θ \({}\)                   The acute angles in a right triangle are congruent

2 sin(θ) = AB/BC    \({}\)     Definition of sine

3 cos(m∠B) = AB/BC \({}\) Definition of cosine

4 cos(θ) = AB/BC \({}\)       Substitution

5 cos(θ) = sin(θ) \({}\)         Substitution

Part of the question is; What is the first mistake in Noah's statement used to prove that cos(θ) = sin(θ)

The first mistake is the statement and reason that angle m∠B = θ because all acute angles are congruent.

The acute angles in the right triangle are ∠B and ∠C

The sum of the acute angles in a right triangle is; ∠B + ∠C = 90°

Therefore the acute angles in a right triangle are always complementary, and not always congruent.

The correct option is therefore the option (A)

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If we write a quadratic in vertex form:

\(y=a(x-h)^2+k\)

Then:

\(\bold{a}\)   \(\longrightarrow\)    is the coefficient of \(x^2\)

\(\bold{h}\)   \(\longrightarrow\)    is the axis of symmetry.

\(\bold{k}\)   \(\longrightarrow\)    is the max/min value of the function.

Also:

If \(a > 0\) then the parabola will be of the form \(\cup\) and will have a minimum value.

\(a < 0\) then the parabola will be of the form \(\cap\) and will have a minimum value.

For the given functions:

\(a < 0\)

\(f(x)=-(x-1)^2+5\)        this has a maximum value of \(\bold{5}\)

\(a > 0\)

\(f(x)=(x+2)^2-3\)           this has a minimum value of \(\bold{-3}\)

Answer:

volume=60cm3, surface area=96cm2

Step-by-step explanation:

volume=1/3×(6×6)×5

=60cm3

surface area= 4(1/2×6×5)+(6×6)

=96cm2

Answer:

1. d. none of the above.

2. A. There is some evidence against H0, and a study using a larger sample size may be worthwhile.

3.a. that the sample size is very large.

Step-by-step explanation:

1. This experimental analysis is incomplete so none of the options provides the best solution. Therefore the correct answer is choice D.

2. The smallest value which provides basis for rejection for H0 at ∝= 0.05 is P= 0.05.

As P= 0.052  but we are not sure about other variables such as sample size. So option A is the best choice

A. There is some evidence against H0, and a study using a larger sample size may be worthwhile.

3. A sample of 40,000 bulbs will provide a wider range for the results. Therefore the sample size is too large to accurately predict the results .

Hence choice a gives the best answer that the sample size is too large.

The maximum number of poles required to drive the load is 8.

full load speed = 120*f/p

850 = 120*60/p

p = 120*60/850

p = 8.47

since no. of poles are even so

p = 8

if number pole p = 8

synchronous speed Ns = 120*f/p = 120*60/8 = 900RPM

SLIP = (Ns - N)/Ns

s = (900-850)/900

s = 0.056

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Length is 33.33 feet and width is 25 feet are dimensions should

be used so that the enclosed area will be a maximum.

The area of Rectangle is length times of width

Given that, a rancher has 200 feet of fencing to enclose two adjacent rectangular corrals of the same dimensions.

Here, the dimensions of the rectangles are the same.

The width of the two rectangles is W=2W+2W=4W

The length of the two rectangles is L=L+L+L=3L

Because the adjacent side has a common length.

3L+4W=200

3L=200-4W

Divide both sides by 3

L=(200-4W)/3

Let us form an equation using the area of rectangle formula:

A=2LW

=2(200-4W)/3.W

A=400-8W²/3

Let us differentiate to get the area to be maximized dA/dW=0

1/3×(400-8W²)=0

1/3(400-16W)=0

400-16W=0

400=16W

Divide both sides by 16

W=25

The width is 25 feet.

Substitute W value in equation to get L value:

L=200-4×25/3

=200-100/3

=100/3

=33.33

The length is 33.33 feet.

Now let us find the maximum area

A=2LW

=2×33.33×25

=1666.66

Hence, length is 33.33 feet and width is 25 feet are dimensions should

be used so that the enclosed area will be a maximum.

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Answer:

Step-by-step explanation:

Let the sum = x

x/3 = 24

x/3 * 3 = 24 * 3

x = 72

The sum of the three numbers is 72

Answer:

15 shirts

Step-by-step explanation:

Store A charges 12.50 for a custom shirt with 0.40 per each custom character. Store B charges 14.75 for the same shirt but charges 0.25 per each custom character would make the cost from both stores the same

A: 12.5 + 0.40x

B: 14.75 + 0.25x

12.5 + 0.40x = 14.75 + 0.25x

subtract 12.5 from both sides:

12.5 + 0.40x - 12.5 = 14.75 + 0.25x - 12.5

0.40x = 2.25 + 0.25x

subtract 0.25x from both sides:

0.40x - 0.25x = 2.25 + 0.25x - 0.25x

0.15x = 2.25

divide both sides by 0.15:

0.15x/0.15 = 2.25/0.15

x = 15

Answer:On a scale drawing of a steel I-beam , the height of the beam is 2 1/2 in. The scale is 1/4 in = 6 feet. What is the actual height of the I-beam. \(12\)

Step-by-step explanation:

Step-by-step explanation:

n×2=?

The n means 1 then. 1×2 series

1 × 2 = 2

Answer:

The dots shown on the graph have a rise of 6 and a run of 4 (so 6/4)

This fraction can be reduced so your answer is 3/2

The length of JK is 20 m.

Corresponding sides of similar triangle.

Two or more shapes are similar whenever their corresponding sides, or measure of angles have common properties.

In the given diagram, it can be deduced that;

IH = 2IJ

let IJ be represented by s, so that;

IH = 2s

To determine the length of JK, we have;

(6x -4)/ (10x) = IJ/ IH

6x - 4/ 10x = s/ 2s

6x - 4/ 10x = 1/2

10x = 2(6x - 4)

     = 12x - 8

10x = 12x - 8

10x - 12x = -8

-2x = -8

x = 4

Therefore,

JK = 6x -4

    = 6(4) - 4

JK = 20 m

The length of JK is 20 m.

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