CAN SOMEONE HELP ASAP

Answer:

calculator gave me 6.5732

Step-by-step explanation:

Answer:

Step-by-step explanation:

It looks like the solution is the first set of data

{1, 4, 6, 10, 12, 14, 19, 20, 25 }

because: median is 12, Q1 is 6, Q3 is 19, yet the range is from 1 to 25 while the range of the box and whisker plot is 1 to 24.

So theoretically none of those sets represents the box plot.

Answer:

\(100 - 3(3 - 4x) \\ = 100 - 3(3 - 4 \times 3) \\ = 100 -27 \\ = 73\)

Answer:

873

Step-by-step explanation:

Answer:

The present value is  \(PV = \$ 396,987\)

Step-by-step explanation:

From the question we are told that

   The  interest payment per year is  \(C = \$ 85\)

    The principal payment is  \(P = \$ 1000\)

     The  duration is  n =  8   years

      The  interest rate is  \(r = 10\% = 0.10\)

The present value is  mathematically represented as

      \(PV = [ \frac{C}{r} * [1 - \frac{1 }{ (1 +r)^n} ] + \frac{P}{(1 + r)^n} ]\)

substituting values

      \(PV = [ \frac{85}{0.10} * [1 - \frac{1 }{ (1 +0.10)^8} ] + \frac{1000}{(1 + 0.10)^ 8} ]\)

      \(PV = \$ 396,987\)

From the given diagram, notice that DE is congruent to AB, EC is congruent to BC and the angles ABC and DEC are congruent.

Since two sides of the triangles and the included angle are congruent, we know from the SAS congruence theorem that ABC and DEC are congruent.

Therefore, the answer is: yes, the triangles ABC and DEF are congruent due to the SAS theorem.

x=45°

angle 1=45°

angle 2= 135°

ps are you sure you've written the question properly??

Answer:

i think 7 but i am not 100% sure

Step-by-step explanation:

Answer:

\(10 + 2.50 w > 50\)

Step-by-step explanation:

Given

\(Start =10\)

\(Rate = 2.50\)

Total = More than 50

Required

Represent as an inequality

Represent the weeks with w.

So, his savings in w weeks is:

\(Savings = Start + Rate * w\)

\(Savings = 10 + 2.50 * w\)

\(Savings = 10 + 2.50 w\)

His saving is expected to be more than 50.

More than, here means greater than (>)

So, we have;

\(Savings > 50\)

\(10 + 2.50 w > 50\)

Answer:

The answer is 1/3

Step-by-step explanation:

Answer:

27/64

Step-by-step explanation:

(7×16)+(5×64)64×16

=112+3201/024

=432/1024

Simplifying 432/1024, the answer is

=27/64

The output value of (g/f)(x) is 9x/(7x + 28).

The domain of g/f is (-∞, -4) U (-4, ∞)..

In this exercise, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations in simplified form as follows;

(g/f)(x) = (9/(x + 4)) ÷ 7/x

By rearranging the mathematical expression using the multiplication operation, we have the following:

(g/f)(x) = (9/(x + 4)) × x/7

(g/f)(x) = 9x/(7x + 28)

For the restrictions on the domain, we would have to equate the denominator of the rational function to zero and then evaluate as follows;

7x + 28 ≠ 0

7x ≠ -28

x ≠ -4

Domain = (-∞, -4) U (-4, ∞).

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The percentage of the data values are between 110 and 170 = 37.5%

We know that in the box plot, the first quartile is nothing but 25% from smallest to largest of data values.

The second quartile is nothing but between 25.1% and 50% (i.e., till median)

The third quartile: 51% to 75% (above the median)

And the fourth quartile: 25% of largest numbers.

In the attached box plot, we can observe that between two numbers on the number line there are 5 equal parts.

So, each unit length measures 10 units.

Also, the median of the data = 110

We need to find the percentage of the data values are between 110 and 170.

i.e., the percentage of the data values are in the third quartile.

The range of this box plot is: 190 - 30 = 160

The data values are between 110 and 170 = 60

Using percentage formula,

P = (60/160) × 100

P = 37.5%

This is the required percentage.

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Find the complete question below.

Answer:

The answer is -136

Step-by-step explanation:

you multiply -34 by 4 which gives you -136

(Hope this help)

The completely factoring form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

To completely factor the expression 6a^2 - 15a + 6, the first step is to check if there is a common factor among the coefficients (6, -15, and 6) and the terms (a^2, a, and 1).

In this case, we can see that the common factor among the coefficients is 3, so we can factor out 3:

3(2a^2 - 5a + 2)

Now we need to factor the quadratic expression inside the parentheses further. We are looking for two binomials that, when multiplied, give us 2a^2 - 5a + 2. The factors of 2a^2 are 2a and a, and the factors of 2 are 2 and 1. We need to find two numbers that multiply to give 2 and add up to -5.

The numbers -2 and -1 fit this criteria, so we can rewrite the expression as:

3(2a - 1)(a - 2)

Therefore, the completely factored form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

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Answer:

Day 15

Step-by-step explanation: If you know how to find common denominators or numerators, you do that.

If you multiply 5 x 3, it equals 15 days. Does three go into 15? Yes!  That means that they will first meet at day 15

The equations give values of 1/2 and -11/8

you should be aware that two equations are solved simultaneously if they are solved together

The given equations are

-8x+10y=16 .............................1

-4x-5y=13 ..................................2

Multiply equation 2 by 2 to have

-8x -10y=26

Subtract equation 1 from equation 2

-8x+10y=16

-(-8x-10y=26)  To get

The we have 20y = 10

Make y the subject of the relation

y=1/2

Put y = 1/2 in equation 1

-8x +10(1/2) = 16

-8x +5 = 16

-8x = 16-5

-8x = 11

Making x the subject of the formula we have

x=-11/8

In conclusion the values of x and y are -11/8 and 1/2 respectively

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Answer:

The following are the solution to the given points:

Step-by-step explanation:

Given value:

\(1) \sum ^{\infty}_{k = 1} \frac{1}{k+1} - \frac{1}{k+2}\\\\2) \sum ^{\infty}_{k = 1} \frac{1}{(k+6)(k+7)}\)

Solve point 1 that is \(\sum ^{\infty}_{k = 1} \frac{1}{k+1} - \frac{1}{k+2}\\\\\):

when,

\(k= 1 \to s_1 = \frac{1}{1+1} - \frac{1}{1+2}\\\\\)

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

\(k= 2 \to s_2 = \frac{1}{2+1} - \frac{1}{2+2}\\\\\)

                  \(= \frac{1}{3} - \frac{1}{4}\\\\\)

\(k= 3 \to s_3 = \frac{1}{3+1} - \frac{1}{3+2}\\\\\)

                  \(= \frac{1}{4} - \frac{1}{5}\\\\\)

\(k= n^ \to s_n = \frac{1}{n+1} - \frac{1}{n+2}\\\\\)

Calculate the sum \((S=s_1+s_2+s_3+......+s_n)\)

\(S=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+.....\frac{1}{n+1}-\frac{1}{n+2}\\\\\)

   \(=\frac{1}{2}-\frac{1}{5}+\frac{1}{n+1}-\frac{1}{n+2}\\\\\)

When \(s_n \ \ dt_{n \to 0}\)

\(=\frac{1}{2}-\frac{1}{5}+\frac{1}{0+1}-\frac{1}{0+2}\\\\=\frac{1}{2}-\frac{1}{5}+\frac{1}{1}-\frac{1}{2}\\\\= 1 -\frac{1}{5}\\\\= \frac{5-1}{5}\\\\= \frac{4}{5}\\\\\)

\(\boxed{\text{In point 1:} \sum ^{\infty}_{k = 1} \frac{1}{k+1} - \frac{1}{k+2} =\frac{4}{5}}\)

In point 2: \(\sum ^{\infty}_{k = 1} \frac{1}{(k+6)(k+7)}\)

when,

\(k= 1 \to s_1 = \frac{1}{(1+6)(1+7)}\\\\\)

                  \(= \frac{1}{7 \times 8}\\\\= \frac{1}{56}\)

\(k= 2 \to s_1 = \frac{1}{(2+6)(2+7)}\\\\\)

                  \(= \frac{1}{8 \times 9}\\\\= \frac{1}{72}\)

\(k= 3 \to s_1 = \frac{1}{(3+6)(3+7)}\\\\\)

                  \(= \frac{1}{9 \times 10} \\\\ = \frac{1}{90}\\\\\)

\(k= n^ \to s_n = \frac{1}{(n+6)(n+7)}\\\\\)

calculate the sum:\(S= s_1+s_2+s_3+s_n\\\)

\(S= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}....+\frac{1}{(n+6)(n+7)}\\\\\)

when \(s_n \ \ dt_{n \to 0}\)

\(S= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}....+\frac{1}{(0+6)(0+7)}\\\\= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}....+\frac{1}{6 \times 7}\\\\= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}+\frac{1}{42}\\\\=\frac{45+35+28+60}{2520}\\\\=\frac{168}{2520}\\\\=0.066\)

\(\boxed{\text{In point 2:} \sum ^{\infty}_{k = 1} \frac{1}{(n+6)(n+7)} = 0.066}\)

Answer:

B.

Step-by-step explanation:

because they have the same base and it's a multiplication so you have to add the exponents

simplifying the following expression: 16^1/2•16^1/2

C. 1                    

Answer and Step-by-step explanation: the doc is below for how i did the problem

Answer: x = 10

Step-by-step explanation:

     To solve, we will isolate the variable x.

Given:

     2x + 7 = 5x - 23

Add 23 to both sides of the equation:

     2x + 30 = 5x

Subtract 2x from both sides of the equation:

     30 = 3x

Divide both sides of the equation by 3:

     10 = x

Reflexive property:

     x = 10

Answer:

9.6

Step-by-step explanation:

When it says find the mean, it basically means find the average. So we'll add the numbers and divide by the amount of numbers there are (7).

(4+16+4+13+4+7+4+15)/7 = 9.571

Round to the nearest tenth, 9.6.

where the red line is the first part and green the second

the green line is more inclined because the velocity is higher

The red line starts in house and finish on mountain top

the green line starts in mountain top and finish on house, the distance of the two lines are the same but the green line use less time

Answer: 44

Step-by-step explanation:

This is a confusing problem to look at, so use PEMDAS(parenthesis, exponents, multiplication, division, addition, subtraction).

5 * (-4) + (1 - (-3)^2)^2      simplify inside the parenthesis

5 * (-4) + (1 - 9)^2

5 * (-4) + (-8)^2                simplify exponents

5 * (-4) + 64                     multiply

-20 + 64                          finally, addition

44

Answer: The last option. X is greater than or equal to -3

Step-by-step explanation:

If you are searching for all of the values highlighted in red, then it must be every single value greater than x=-3 including the value itself (the dot located on the value is shaded, therefore you must include it within the domain).

Incomplete question. The full question read;

A certain process for manufacturing integrated circuits has been in use for a period of time, and it is known that 12% of the circuits it produces are defective. A new process that is supposed to reduce the proportion of defectives is being tested. In a simple random sample of 100 circuits produced by the new process, 12 were defective.

a. One of the engineers suggests that the test proves that the new process is no better than the old process since the proportion of defectives in the sample is the same. Is this conclusion justified? Explain.

b. Assume that there had been only 11 defective circuits in the sample of 100. Would this have proven that the new process is better? Explain.

c. Which outcome represents stronger evidence that the new process is better: finding 11 defective circuits in the sample, or finding 2 defective circuits in the sample?

Answer:

1. No.

2. No.

3. finding 2 defective circuits in the sample.

Step-by-step explanation:

1. This does not prove that the new process is not better than the previous since we can this was just a random sample of 100 circuits that led to that discovery, not the entire circuits produced.

2. Even there had been only 11 defective circuits in the sample of 100, it still does not necessarily guarantee or prove the new process is better, since the actual percentage of defectives may be greater in another larger sample over 100.

3. By having just two defective circuits in the sample it would more clearly show that the new process is better.

The measure of the missing side length x in the right triangle is 1.5.

The figure in the image is a right triangle having one of its interor angle at 90 degree.

From the diagram;

Let angle θ = 30 degree

Opposite angle θ = x

Hypotenuse = 3

To solve for the missing side length x, we use the trigonometric ratio.

Note that: sine = opposite / hypotenuse

Hence:

sin( θ ) = opposite / hypotenuse

Plug in the values:

sin( 30 ) = x / 3

x = sin( 30 ) × 3

x = 1.5

Therefore, the value of x is 1.5.

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Answer: 0.41

Step-by-step explanation:
To find the decimal point of a fraction, divide the numerator (the top half of the fraction) by the denominator (the bottom half of the fraction).

41 over 100 as a decimal point would be 41 divided by 100

Which produces the equivalent decimal, 0.41

P.S this is also how you find the percent of a number. To get the percent, move the decimal point 2 digits over (0.41 to 41.) and then add the percentage sign to the end of the number (41%)

0.41 = 41%

so 41 over 100 is 0.41, and 41 is also 41% of 100 (per cent means per 100)

Best of luck in 5th grade :)

The volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

To calculate the volume of the tree stump, we can use the formula for the volume of a cylinder, which is given by:

Volume = π * r^2 * h

Given:

Radius (r) = 20 inches

Height (h) = 0.7 feet

First, let's convert the height from feet to inches since the radius is already in inches. There are 12 inches in 1 foot, so:

Height (h) = 0.7 feet * 12 inches/foot = 8.4 inches

Now, we can substitute the values into the volume formula:

Volume = π * (20 inches)^2 * 8.4 inches

Calculating the volume:

Volume = 3.14159 * (20 inches)^2 * 8.4 inches

≈ 3.14159 * 400 inches^2 * 8.4 inches

≈ 1005.3096 cubic inches

Rounding the volume to the nearest tenth:

Volume ≈ 1005.3 cubic inches

Therefore, the volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

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Answer:

Area of annulus is 40.85cm² to 2d.p

Step-by-step explanation:

Area of shaded part=Area of bigger circle -Area of smaler circle

Area of annulus= πR²- πr²= π(R²-r²)

A=3.142(7²-6²)

A=3.142(49-36)

A=3.142×13

A=40.846cm²

A=40.85cm² to 2d.p

Answer:  :  [B]:  " 21. 4 " .
______

Step-by-step explanation:

The sum of 4.4 and 5.2; {all divided by...}.  

Note: " 4.4 + 5.2 = 9.6 "

The "sum" ; means "addition":
     which means as shown ^above; which is 9.6 ;

      → all divided "by the quantity 6 end quantity".

So, we divide:
then:
"times the quantity..." ;  [means "multiply"] ;

then:  ["minus"] means "subtraction"] ;

 of:  "(3 - 6)"

Then:  "square" means raise to the power of:  "2 " ; or :

           raised to the exponent of:  two—["2"]   ;
Then: "plus" means: "add/addition" ;

  So we have:
          →   \(\frac{(9.6)}{6} * (3-6)^{2} +7\) ;

Note:  → (9.6/6 = 9.6 ÷ 6 = 1.6) ;

          →  (3-6)² = (-3)² = (-3 * -3) = 9 ;

And we can rewrite the expression:

          →  1.6 * 9 + 7 ;

             =  ( 1.6 * 9) + 7 ;

             =   (14.4) + 7 ;

             =   " 21 .4 "
______
The correct answer is:  " 21 .4 " ; which corresponds to:
→    Answer Choice:  [B]:  " 21. 4 "

______
Hope this is helpful to you! Best wishes!

In the given case we can conclude that the simplified expression is 2.2. Option A is correct

The expression is:

\((4.4 + 5.2) / (6 * (3 - 6)^2 + 7)\)

Let's simplify the expression step by step.

First, we simplify the inner parentheses: (3 - 6) = -3

Then, we square \(-3: (-3)^2 = 9\)

Now, we simplify the expression in the denominator: 6 * 9 + 7 = 57

Finally, we divide the sum of 4.4 and 5.2 by 57: (4.4 + 5.2) / 57 = 2.2

Therefore, the simplified expression is 2.2.

Here are the steps in another way:

\((4.4 + 5.2) / (6 * (3 - 6)^2 + 7) =\)

(4.4 + 5.2) / (6 * 9 + 7) =

(4.4 + 5.2) / (57) =

9.6 / 57 =

2.2

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