Solve the proportion below. X/18= 8.5/17 x=?

Answer:

The best prediction for the number of questions that Amit will answer correctly is 5.

Step-by-step explanation:

Each question can be considered as an independent Bernoulli trial. This implies that we have 20 independent trials.

Now, the probability of making a correct guess on each question is;

1/4. This is because we have 4 choices per question and only 1 is correct.

If we now let the random variable X denote the number of questions that Amit will answer correctly, then X is a Binomial random variable with parameters;

20 and 1/4.

The expected number of correct answers is simply the product of these two values;

20 * (1/4) = 5

Therefore, the best prediction for the number of questions that Amit will answer correctly is 5

Answer:

∠2 = 80°

Step-by-step explanation:

Since BD is a diameter then

∠1 + ∠2 = 180°, that is

100° + ∠2 = 180° ( subtract 100° from both sides )

∠2 = 180° - 100° = 80°

Answer:

B. 80

Step-by-step explanation:

We have been given a circle. We are asked to find the measure of angle 2.

Since BD is diameter of our given circle, so angle 1 and angle 2 will be linear pair of angles.

We know that linear angles add up-to 180 degrees, so we can set an equation as:

[tex]m\angle 1+m\angle 2=180^{\circ}[/tex]

[tex]100^{\circ}+m\angle 2=180^{\circ}[/tex]

[tex]100^{\circ}-100^{\circ}+m\angle 2=180^{\circ}-100^{\circ}[/tex]

[tex]m\angle 2=80^{\circ}[/tex]

Therefore, measure of angle 2 is 80 degrees and option B is the correct choice.

Answer:

B: 6x

Step-by-step explanation:

e^ln(6x) = 6x . . . . . . . . comes from the definition of the logarithm function

___

q = ln(p) is the value that makes e^q = p. That is, e^ln(p) = p.

In this problem, p=6x.

Answer: 221.56

Step-by-step explanation:  (3.14)(r)^2

r = half diameter

Step-by-step explanation: To write 3.8 as a percent multiply 3.8 by 100 to obtain 380. Then append the percent sign (%). To learn about the spacing check out the reference section of decimal to percent.

Answer:

means are

8th:4.5

7th:5.5

6th:4

7th is most

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

In arithmetic series

[tex]\sum \limits _{k=1}^{24}(-6+0.5k)[/tex]

we have

[tex]a_1=-6+0.5\cdot 1=-5.5\\ \\a_{24}=-6+0.5\cdot 24=-6+12=6\\ \\S_{24}=\dfrac{a_1+a_{24}}{2}\cdot 24=\dfrac{-5.5+6}{2}\cdot 24=0.5\cdot 12=6[/tex]

Thus, the value of the series is equal to the value of the 24th number in the series.

Answer:

1440 beats

Step-by-step explanation:

Given that a doctor measured a patient's resting pulse rate at 80 beats per minute.

i.e. if no of beats in a dependent variable on time then we have a linear relationship between y - no of beats and x - no of minutes

Here slope= rate of change of y with respect to x [tex]= m=80[/tex]

And we have y intercept as 0 since when time is 0 no heart beat. i.e. (0,0) is a point on the line

The equation would be

[tex]y=80x[/tex],x≥0

When  [tex]x=18, \\y = 18(80)\\y = 1440[/tex] beats.

Graph is enclosed.

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]3x+5y\leq 9[/tex] ----> inequality A

The solution of the inequality A is the shaded area below the solid line [tex]3x+5y=9[/tex]

[tex]2x+y\geq 5[/tex] -----> inequality B

The solution of the inequality B is the shaded area above the solid line [tex]2x+y=5[/tex]

Using a graphing tool

The solution of the system of inequalities is the shaded area indicated in the attached figure

Answer:

Step 2: 4 ( 2 ) + 4 ( 3 x )

Step-by-step explanation:

The student didn't factorise 8 x + 12 properly

30(3m-5)=10(m+1);

90m-150=10m+10;

90m-10m=150+10;

80m=140;

m=140/80=14/8=1.75

Answer:

m = 2

Step-by-step explanation:

If you're dividing 10 by 3m-5, please enclose the 3m - 5 inside parentheses to eliminate any ambiquity:

Solve   30/(m+1) =  10/(3m-5)

Here we have the LCD (m+1)(3m-5).  Multiply both sides of this equation by this LCD and simplify the results:

                     30                            10

(m+1)(3m-5)--------- = (m+1)(3m-5)----------

                    m+1                           3m-5

After cancelling, we have:

       30(3m-5)         = 10(m+1),

which, when expanded, comes to:

  90m - 150 = 10 m + 10

Combining like terms, we get:

80m = 160, and so m = 2.

For this case we make a rule of three, based on the fact that 9 ounces of mushrooms cost $ 5.

9 oz --------------> 5 $

13oz ------------> x

Where "x" represents the amount of dollars that cost 13 ounces of mushrooms.

[tex]x = \frac {13 * 5} {9} = \frac {65} {9} = 7.222222[/tex]

Rounding out, we have that 13 ounces of mushrooms cost $ 7 with 22 cents.

Answer:

$ 7 with 22 cents

Answer:

Step-by-step explanation:

9 oz cost $5 therefore you want to find the cost per oz which would be $5/9oz= 0.55555556 per oz

0.55555556 x 13oz = $7.222222 which is $7.22

Answer:

5(2x-1) = 5(2x) - 5(1)

Step-by-step explanation:

The distributive property states that multiplying a sum or difference of two terms by a number is equal to multiplying the same number with each term of the sum or difference separately and then adding the products.

It can be written as:

a(b+c) = ab + ac

or

a(b-c) = ab - ac

So, for the given question,

=>5(2x-1) = 5(2x) - 5(1)

Answer:

5(2x)+5(-1)

Step-by-step explanation: You need to distribute the numbers from left to right. : 5x2+5x-1

Answer:

12 inches

Step-by-step explanation:

[tex]18 \times (2 \div 3)[/tex]

Answer:

27 inches

Step-by-step explanation:

We can use proportions to solve this problem.  Put the drawing size over the real life size

3 inches      x inches

------------- = -----------

2 ft                18 ft

Using cross products to solve

3 * 18 = 2 * x

54 = 2x

Divide each side by 2

54/2 =2x/2

27 =x

The stage should be 27 inches in the drawing

Answer:

Unit 4(circles) Lesson 2 (chords and arcs)

Step-by-step explanation:

1. The circles are congruent. Which conclusion can you draw?
answer: <AEB=<QUR

2. JG is the diameter of M. Which conclusion cannot be drawn from the diagram?
answer: KN=NI
3. For the following question, what is the value of x to the nearest tenth?
answer: 6.6

4. For the following question, what is the value of x to the nearest tenth?
answer: 11.5

5. If <AFB=<DFE what must be true
answer: AB=DE
hope this helpppss

The value of x to the nearest tenth by the Pythagoras theorem is 6.57.

It is given that

Length of the chord = 11

Distance of chord from the center of the circle = 3.6

As we know that perpendicular drawn from the center of a circle to its chord bisects the chord.

Using Pythagoras theorem

The square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.

[tex]x^{2} = 3.6^{2} + (11/2)^{2}[/tex]

[tex]x^{2} = 12.96 + 30.25\\\\x^{2} = 43.21\\\\x = 6.57[/tex]

Therefore, the value of x to the nearest tenth is 6.57.

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Answer:

8(2g + 1)(4g² - 2g + 1)

Step-by-step explanation:

Given

64g³ + 8 ← factor out 8 from each term

= 8(8g³ + 1) ← 8g³ + 1 is a sum of cubes and factors as

8g³ + 1 = (2g + 1)((2g)² - 2g + 1² ) = (2g + 1)(4g² - 2g + 1)

Hence

64g³ + 8 = 8(2g + 1)(4g² - 2g + 1)

Answer:

the correct answer is D

Step-by-step explanation:

trust

For this case we have by definition that if two lines are parallel, then their slopes are equal.

We have the following line:

[tex]-2x + 4y = 8[/tex]

Manipulating algebraically we have:

[tex]4y = 8 + 2x[/tex]

[tex]y = \frac {2x} {4} + \frac {8} {4}\\y = \frac {1} {2} x + 2[/tex]

Thus, the slope is [tex]m = \frac {1} {2}[/tex]

Then, a parallel line will be of the form:

[tex]y = \frac {1} {2} x + b[/tex]

We find the cut point "b" replacing the point:

[tex]-1 = \frac {1} {2} (- 5) + b\\-1 = - \frac {5} {2} + b\\b = -1 + \frac {5} {2}\\b = \frac {-2 + 5} {2}\\b = \frac {3} {2}[/tex]

Finally, the line is:

[tex]y = \frac {1} {2} x + \frac {3} {2}[/tex]

ANswer:

Option A

Answer:

-8

Step-by-step explanation:

r=2

so multiply third term by 2

Answer: -8

Step-by-step explanation:

We must remember that, in geometric sequences, the ratio between the consecutive terms is constant.This is called "Common ratio" and is represented with "r".

We need to find the common ratio of this geometric sequence:

Divide one term by the previous term:

[tex]r=\frac{-4}{-2}\\\\r=2[/tex]

Then, the next term asked in the exercise can be found by multiplying -4 by 2.

Therefore, this is:

[tex]next\ term=(-4)(2)\\\\next\ term=-8[/tex]

Answer: 57

Step-by-step explanation:

53+71+89+10+62=285

285/5=57

Answer: 57

Step-by-step explanation:

Order the data least to greatest: 10, 53, 62, 71, 89

then add them to get the sum of: 285

now divide that by how many numbers are in the data set so: 285/5

= 57

B) supplementary are two angles that add up to 180.

124+56= 180

Answer:

The estimate is reasonable.

Step-by-step explanation:

Jamie's estimate seems reasonable.

We can see that there is (-24/27) in the bracket, first of all there is negative sign so there will be negative sign in the answer. Moreover, 24 is near to half of 27 so fraction will result in -0.5XXXXX and multiplying it with 1.4 will increase it around -0.75.

We can solve the given fraction for confirmation,

So,

[tex]= 1.43 * (\frac{-24}{47} )\\=1.43*(-0.5106)\\=-0.7302[/tex]

which is near to -0.75 so the estimate of Jamie was right ..

Jamie's estimate of -0.75 is reasonable given the calculated result of approximately -0.73.

The value of the expression 1.43 × (-24/47) is indeed close to -0.75. To show this, let's calculate it step by step:

Therefore, Jamie's estimate of -0.75 is reasonable given the calculated result of approximately -0.73.

Answer:

C. a 180° rotation about its center

Step-by-step explanation:

The question is on rotation of an object about the origin through 180°

When a point B, (h,k) is rotated about the origin 0 through 180° both clockwise and anticlockwise directions , the new position is B'(-h,-k)

Example, if we have point K (5,8) rotated through 180°, clockwise or anti-clockwise about the origin the new position will be; K'(-5,-8)

A 180° rotation about the center of a parallelogram will always map the parallelogram back onto itself due to the shape's symmetry.

The transformation that will always map a parallelogram onto itself is a 180° rotation about its center. This is because a 180° rotation essentially flips the shape over, but, because a parallelogram is symmetrical, it would still look the same. For example, imagine a parallelogram ABCD with point A at the top and AB as the base. If you rotate it 180°, point A was at the top and now is at the bottom, but the shape is still a parallelogram. Similarly, the other transformations may not necessarily map the shape back onto itself.

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Answer:

(2,5) is a solution of the inequality

Step-by-step explanation:

we have

[tex]y\leq4x-3[/tex]

The solution of the inequality is the shaded area below the solid line [tex]y=4x-3[/tex]

Remember that if a ordered pair is a solution of the linear inequality, then the ordered pair must lie on the shaded region of the inequality

Let

A(-2,5),B(2,5),C(1,5),D(1,4)

Plot each point

The point B(2,5) lie on the shaded region

therefore

(2,5) is a solution of the inequality

see the attached figure

Meter :) hope this helps!

Answer:

Meters

Step-by-step explanation:

City planner should use Meter unit as the distance within the city blocks are much higher that the distances which can be measured in inches and they are much lesser than the distances which can be measured in Miles.

For instance, Two blocks of a city can not be few miles away or few inches away , but they can be few meters away from each other.

Hope that helped .

Answer:

150 sheets is the better buy.

Step-by-step explanation:

Cost of each sheet when buying 100 = $2.50 / 100 = $0.0250'

If you buy 150 cost per sheet =  $3.50 / 150 = $0.0233.....

So buying 150 sheets is the better buy.

Final answer:

After calculating the unit price for both options, the 150 sheets at $3.50 offer a lower unit price of approximately $0.0233 per sheet compared to $0.025 per sheet for 100 sheets at $2.50, making it the better buy.

Explanation:

To determine which is a better buy between 100 sheets of binder paper at $2.50 and 150 sheets at $3.50, we need to calculate the unit price for each option.

Comparing the two unit prices, the 150 sheets at $3.50 offer a lower unit price and thus represent a better value for your money.

Answer:

The answer is d

Step-by-step explanation:

The probability that the first egg randomly selected will be white is 15/25, the correct option is D.

The chance that something will happen.

On Friday the farmer's hens laid 25 eggs.

There were 15 white eggs and 10 brown eggs.

The probability that the first egg randomly selected will be white is;

[tex]\rm Probability=\dfrac{White \ egg}{White \ egg + Brown \ egg}[/tex]

Substitute all the values in the formula

[tex]\rm Probability=\dfrac{White \ egg}{White \ egg + Brown \ egg}\\\\ Probability=\dfrac{15}{15+10}\\\\ Probability=\dfrac{15}{25}[/tex]

Hence, the probability that the first egg randomly selected will be white is 15/25, the correct option is D.

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Answer: the median is 9

Step-by-step explanation:

Because we have to find but the in in the middle

Answer: 6

Step-by-step explanation: list numbers in normal order and go through to find middle

Answer:

Draw a closed circle on -6 and shade to the left.

Answer:

(- 5, 4)

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y) → (y, x)

Hence

G(4, - 5) → G'(- 5, 4)

If the vertex G is reflected across the line y= x, the resulting coordinate will be (-5, 4)

Reflection creates a mirror image of each other. If the coordinate (x, y) are reflected across the line y = x, the resulting coordinate is (y, x)

Given the coordinate G(4, -5). If the vertex G is reflected across the line y= x, the resulting coordinate will be:

G(4, -5) = G'(-5, 4)

Note that the coordinate points are only interrchanged

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Answer:

THE ANSWER IS C.435

Step-by-step explanation:

Answer:

The correct answer would be option C, $435

Explanation:

In real financial banking transactions, Debits are basically the withdrawals and credits are deposits.  

Because the problem states that there was an over withdrawal on Thursday but not on Saturday, this means that the ending balance on Thursday was a negative balance. On Saturday, the remaining balance was a positive balance. 500 and 480 as a beginning balance doesn't give a negative balance on Thursday. 400 as a beginning balance gives a negative balance on Thursday as well as Saturday.

                    Debit    Credit    Balance

Sunday                                      435

Monday        158                        277

Tuesday        69          44           252

Wednesday  175                           77

Thursday       131         38             -16

                      25                          -41 Overdraft fee

Friday                          53              12

Saturday         22         14               4

So the correct answer is option C, $435