'In how many different ways can we select a committee consisting of 3 engineers, 2 physicists, and 2 computer scientists from 10 engineers, 5 physicists, and 6 computer scientists? First guess.

The mode of the data set is 7

The median is 6

the mean is 5.2

The range is 7

This is the number with the highest frequency or occurrence. This is 7

arrange based on ascending order

1, 2, 3, 4, 5, 7, 7, 7, 8, 8

median = 5 + 7 / 2

= 6

add all the numbers / total number

52 /10

= 5.2

The range = highest - lowest

= 8 - 1

= 7

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The area of the resulting figure is 4 times smaller than the area of the original figure.

And, When the side lengths are multiplied by 2, the perimeter is 2 times the original perimeter.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. And, Opposite sides of the rectangle are equal and parallel to each other.

We know that;

When two figures are similar, then ratio of its areas is also equal to the scale factor squared.

Hence, We can assume that the figure is a rectangle or a triangle;

Let

z = the scale factor

x = Area of the resulting figure

y = Area of the original figure

So, We get;

z² = x/y

Since, we have;

z = 1/2

Hence, We can substitute;

⇒ (1/2)² = x/y

⇒ x/y = 1/4

⇒ x = y/4

Therefore, The area of the resulting figure is 4 times smaller than the area of the original figure.

And, If the side lengths are multiplied by 2.

We get;

Perimeter = 2 (L + W)

                = 2 (2L + 2W)

                = 2 (2L + 2W)

Thus, When the side lengths are multiplied by 2, the perimeter is 2 times the original perimeter.

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Answer:

Step-by-step explanation:

Blue shirts: [tex]\frac{1}{6}[/tex]×[tex]12=2[/tex]

White shirts: [tex]\frac{2}{3}[/tex]×[tex]12=8[/tex]

∴ there are 2 students(12-2-8=2) wearing a different shirt.

e. Affirming the Consequent. The argument takes the form of "If P then Q. Q, therefore P."

Consequent is an outcome or result of an event, action, or decision. It is the result of a cause or premise. Consequents are usually expected and predictable, and can be measured or observed. Consequents are important in the study of cause and effect relationships and can be used to determine the success or failure of certain actions. Consequents can also be used to measure the degree of success or failure of certain objectives. Consequents are often used in decision-making, as well as in research and problem-solving, to help determine the best course of action and the best solution.

In other words, the conclusion (Benji's parents buy him a puppy for Christmas) is based on the premise that Benji learns important care-giving skills.

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The percentage representation of T as part of S + T as required is; 40 percent.

As evident in the task content;

S is 150% of T.

S = 150/100 × T

S = 1.5T.

Therefore, expressing T as a percentage of S + T as required is as follows;

= (T / (S + T)) × 100%

substitute S = 1.5T into the equation

= T / (T + 1.5T) × 100%

= (1/2.5) × 100%

= 0.4 × 100%

= 40%.

Ultimately, the variable T is 40 percent of S + T.

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Answer: Y = X2

Step-by-step explanation:
A and C aren't proportional and D is increasng

Answer:1

Step-by-step explanation:

Answer:

h [tex]\ge[/tex] 48

Step-by-step explanation:

This inequality states that the height h, must be either equal to 48 to greater than 48.

Answer:

16°

Step-by-step explanation:

10p+20=180

10p=120

p=16

Answer:

-12 +50

Step-by-step explanation:

Helping in the name of Jesus.

The length of the line segment that connects points at (5, 4) and (−3, −1) is found to be 9.43 units.

Using the formula obtained from Pythagoras' theorem, distance can be computed.

The distance formula in coordinate geometry is:

(P, Q) = √ (x2 – x1)² + (y2 – y1)².

Given points: (5, 4) and (−3, −1)

d = √ (-3 - 5)² + (4 + 1)²

d = √ 64 + 25

d = √ 89

d = 9.43

Thus, the length of the line segment that connects points at (5, 4) and (−3, −1) is found to be 9.43 units.

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Angles 1 = 2 = 3 = 98° and 4 = 82° are measured.

The right angle is created when two straight lines cross at a 90° angle or when they are perpendicular at the intersection. The image serves as a right angle indicator. The angle formed when two chords cross paths inside of a circle is equal to half the sum of the chords' intercepted arcs. Hence, m1 = 50° and m2 = 130°.

The other angle measurements can be calculated using the diagram as follows:

∠1: ∠1 is a vertical angle to ∠2, so it is also 98°.

∠3: ∠3 is a corresponding angle to ∠2, so it is also 98°.

∠4: ∠4 and ∠2 form a straight angle, which means they add up to 180°. Therefore, ∠4 = 180° - ∠2 = 180° - 98° = 82°.

So, the angle measures are:

∠1 = ∠2 = ∠3 = 98°

∠4 = 82°

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so since the squared variable is the "x", we're looking at a vertical parabola, and its axis of symmetry will be at the x-coordinate for its vertex, let's find its vertex then

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ f(x)=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+12}x\stackrel{\stackrel{c}{\downarrow }}{+31} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]

[tex]\left(-\cfrac{ 12}{2(1)}~~~~ ,~~~~ 31-\cfrac{ (12)^2}{4(1)}\right) \implies \left( - \cfrac{ 12 }{ 2 }~~,~~31 - \cfrac{ 144 }{ 4 } \right) \\\\\\ \left( -6 ~~~~ ,~~~~ 31 -36 \right)\implies (\stackrel{ x }{-6}~~,~-5)\hspace{5em}\stackrel{ \textit{axis of symmetry} }{x=-6}[/tex]

If to help pay for culinary school, Keiko borrowed money from her credit union:

a. Keiko's monthly payment is  $542.63.

b. The  total amount to repay the loan is $65,115.60

c. The total amount of interest she will pay is $15,115.60

(a) To find Keiko's monthly payment, we can use the formula for calculating the monthly payment for an amortized loan:

P = (r * A) / (1 - (1 + r)^(-n))

Where:

P =Monthly payment

A=  loan amount

r = Monthly interest rate

n = Total number of payment

Plugging in the values for Keiko's loan, we get:

P = $50,000

r = 0.055 / 12 = 0.00458

n = 10 * 12 = 120

P = (0.055/12 * $50,000) / (1 - (1 + 0.055/12)^(-120)) = $542.63

(b) If Keiko pays the monthly payment each month for the full term, the total amount she will repay the loan will be:

Total amount = Monthly payment * Total number of payments

= $542.63* 120 = $65,115.60

(c) If Keiko pays the monthly payment each month for the full term, the total amount of interest she will pay will be:

Total interest = Total amount - Loan amount

=$65,115.60 - $50,000 = $15,115.60

So, Keiko will pay a total of $15,115.60 in interest over the 10-year term of the loan.

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Answer:25

Step-by-step explanation: easy

The value of dz/ dt using Chain Rule is (2t³ -10t² -4t + 5) [tex]e^ {1- t^2[/tex].

The chain rule states that the derivative D of a composite function is given by a product, as D(f(g(x))) = Df(g(x)) ∙ Dg(x).

In other words, the first factor on the right, Df(g(x)), indicates that the derivative of f(x) is first found as usual, and then x, wherever it occurs, is replaced by the function g(x).

Given:

By chain rule we can write z= f(x, y) = f( x(t), y(t))

dz/ dt = df/ dx . dx/ dt + df/ dy. dy/dt

So, df/ dx = [tex]e^y[/tex]

df/dy =   [tex]e^y[/tex] + (x+ y)  [tex]e^y[/tex]

x(t)=5t, while y(t)=1-t², So,

So, dx/dt = 5

and, dy/dt = -2t

Now, dz/ dt = 5 . [tex]e^y[/tex] + -2t ( [tex]e^y[/tex] + (x+ y)  [tex]e^y[/tex])

                   = (2t³ -10t² -4t + 5) [tex]e^ {1- t^2[/tex]

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The integer to represent the profit of php 100.00 is +100.

Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.

Given that, a profit of php is 100.00​.

The profit or gain is equal to the selling price minus the cost price. Loss is equal to the cost price minus the selling price.

So, here the integer is +100

Therefore, the integer to represent the profit of php 100.00 is +100.

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Monthly payment is $973.52, difference is $349,000 and monthly payment for a fully amortizing mortgage would be $3,331.87.

percentage, a relative value indicating hundredth parts of any quantity.

To find the total number of monthly payments, we need to multiply the number of years by 12 (the number of months in a year) and subtract 1 (for the final balloon payment).

So the total number of monthly payments is:

12 x 12 - 1 = 143

b. To find the amount of each monthly payment, we can use the formula

First, we need to convert the APR to a monthly interest rate by dividing by 12:

Monthly Interest Rate = 0.0335 / 12 = 0.002792

Monthly Payment = (350000 x 0.002792) / (1 - (1 + 0.002792)⁻¹⁴³)

= $973.52

The monthly payment is $973.52.

c. The balloon payment is simply the full principal amount of $350,000. The difference between the regular monthly payment and the balloon payment is:

Balloon Payment - Monthly Payment = $350,000 - $973.52 = $349,026.48

The difference is $349,000.

d. To find the monthly payment for a 12-year, fully amortizing mortgage, we can use the same formula as in part b, but with a different Total Number of Payments:

Total Number of Payments = 12 x 12 = 144

Monthly Payment = (350000 x 0.002792) / (1 - (1 + 0.002792)⁻¹⁴⁴) = $3,331.87

The monthly payment for a fully amortizing mortgage would be $3,331.87.

Hence, monthly payment is $973.52, difference is $349,000 and monthly payment for a fully amortizing mortgage would be $3,331.87.

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Based on the four options, Brianna should choose to invest her summer earnings in the Account 4 (compounded continuously) because interest is at highest in the account after like 3 years.

Interest is higher in compounded continuously because it is calculated more frequently than in other compounding methods, such as annually or semi-annually. In continuous compounding, interest is calculated and added to the principal an infinite number of times over a given period, which results in a higher effective interest rate than other compounding methods.

This means that the amount of interest earned on an investment or loan increases more rapidly, which can result in greater returns for investors or higher costs for borrowers. Continuous compounding is often used in financial markets where small changes in interest rates can have significant impacts on returns, such as in the case of short-term bonds or options trading.

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The solution is, he had 68 marvels.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

given that,

he added 36 marvels, now, he has 104 in total,

we have to find that, how many he had.

let, he had = x

so, we know, added = 36

i.e. now total is = x+36

ATQ, we get,

x+36 = 104

or, x = 104 - 36

or, x = 68

Hence, The solution is, he had 68 marvels.

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Step-by-step explanation:

$60÷8=$7.50

divide by 8 because 5+3=8

each book should of cost $7.50

Answer:

please give more information like what to find

3.5, -10.5

Step-by-step explanation:

Answer:

1 and 7/8.

Step-by-step explanation:

Two and a half= 5/2

5/2 x 3/4 = 15/8 = 1 7/8

Using the vertical line test we can see that this is not a function.

When we have a graph of a relation, one thing we can do to check if this is a function is do the vertical line test.

If you can draw a vertical line that intercepts the graph more than once, then it is not a function.

Here we can see a circle, multiple lines intercept the graph twice,so this is not a function.

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The value of x is 10 if Leg= 8 and Leg=x-4.

This states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

In this scenario we were given

Leg= 8

Leg=x-4

Hypotenuse=x

Therefore : x² = 8² + (x-4)²

x² = 64 + x² - 8x + 16

x² -  x² = 80 - 8x

8x = 80

x = 80/8 = 10

Therefore hypotenuse is 10 and the length of the other side is (10-4) = 6.

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Answer:

The price of a hot dog is $2.00

The value of y, given that Triangle FEG is similar to Triangle IHJ is 10.

Seeing as Triangle FEG is similar to Triangle IHJ, we can assume that angle EGF is the same as angle HJ1.

This means that 5 y + 8 is equal to 58 degrees.

The value of y is therefore :

5 y + 8 = 58

5 y = 50 - 8

y = ( 50 - 8 ) / 5

y = 50 / 5

y = 10

In conclusion, given the two similar triangles and the angles EGF and HJI, the value of y can be found to be 10.

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Answer:

Below

Step-by-step explanation:

.385 liters =  385 milliliters  

   SIX of these would be   385 ml * 6 = 2310 ml

Because of the common difference of 5, this series is math because it has a common difference of 5.

An arithmetic series is one in which each term grows by adding or removing a certain number, k. In a geometric series, each term grows by dividing by or increasing by a certain constant k. For instance, a1 = 25 and a(n) Equals a(n-1) Plus 5.

This is a list of numbers.

Each term in an arithmetic series is created by adding a fixed difference to the term before it. The distance between successive words in this order is 5:

10 - 5 = 5

15 - 10 = 5

20 - 15 = 5

25 - 20 = 5

Therefore, this sequence has a common difference of 5, which means it is an arithmetic sequence.

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Answer:

x = 229

Step-by-step explanation:

x = 467 - 238

x = 229