pls help:Find all the missing elements:

Pls Help:Find All The Missing Elements:

Answers

Answer 1

Answer:

B = 48.7° , C = 61.3° , b = 12

Step-by-step explanation:

In order to find B we must first angle C

To find angle C we use the sine rule

That's

[tex] \frac{ |a| }{ \sin(A) } = \frac{ |c| }{ \sin(C) } [/tex]

From the question

a = 15

A = 70°

c = 14

So we have

[tex] \frac{15}{ \sin(70) } = \frac{14}{ \sin(C) } [/tex]

[tex] \sin(C) = \frac{14 \sin(7 0 ) }{15} [/tex]

[tex]C = \sin^{ - 1} ( \frac{14 \sin(70) }{15} ) [/tex]

C = 61.288

C = 61.3° to the nearest tenth

Since we've found C we can use it to find B.

Angles in a triangle add up to 180°

To find B add A and C and subtract it from 180°

That's

A + B + C = 180

B = 180 - A - C

B = 180 - 70 - 61.3

B = 48.7° to the nearest tenth

To find b we can use the sine rule

That's

[tex] \frac{ |a| }{ \sin(A) } = \frac{ |a| }{ \sin(B) } [/tex]

[tex] \frac{15}{ \sin(70) } = \frac{ |b| }{ \sin(48.7) } [/tex]

[tex] |b| = \frac{15 \sin(48.7) }{ \sin(70) } [/tex]

b = 11.9921

b = 12.0 to the nearest tenth

Hope this helps you


Related Questions

Find the sum of (5x3 + 3x2 - 5x + 4) and (8x3 -5x2 + 8x + 9)

Answers

1) (15+6-5x+4)
= 25-5x
= 5(5-x)

2) (24-10+8x+9)
= 23+8x

Twelve dieters lost an average of 13.7 pounds in 6 weeks when given a special diet plus a "fat-blocking" herbal formula. A control group of twelve other dieters were given the same diet, but without the herbal formula, and lost an average of 10.7 pounds during the same time. The standard deviation of the "fat-blocker" sample was 2.6 and the standard deviation of the control group was 2.4. Find the 95% confidence interval for the differences of the means.

Answers

Answer:

The 95% confidence interval is   [tex]0.88 < \mu_1 - \mu_2 < 5.12[/tex]

Step-by-step explanation:

From the question we are told that

   The  sample mean for fat-blocking [tex]\= x_1 = 13.7[/tex]

     The  sample size  for fat-blocking  [tex]n = 12[/tex]

      The standard deviation for  fat-blocking is [tex]\sigma_1 = 2.6[/tex]

      The  sample mean for control group is  [tex]\= x _2 = 10.7[/tex]

      The  sample size  for control group is [tex]n_2 = 12[/tex]

      The standard deviation for control group is [tex]\sigma _2 = 2.4[/tex]

Given that the confidence level is  95% then the level of significance can me mathematically evaluated as

                 [tex]\alpha = 100 - 95[/tex]

                 [tex]\alpha = 5 \%[/tex]

                    [tex]\alpha =0.05[/tex]

Generally the degree of freedom is mathematically represented as

           [tex]df = n_1 + n_2 - 2[/tex]

substituting values

           [tex]df = 12 +12 - 2[/tex]

           [tex]df = 22[/tex]

Next we obtain the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of  22 form the students t-distribution , the value is  

                [tex]t_{\frac{\alpha }{2}, df } = 2.074[/tex]

Generally the margin of error is mathematically represented as

            [tex]E = t_{\frac{\alpha }{2}, df } * \sqrt{ \frac{\sigma^2_1 }{n_1 } + \frac{\sigma^2_2 }{n_2 } }[/tex]

substituting values

            [tex]E = 2.07 4 * \sqrt{ \frac{ 2.6^2 }{12 } + \frac{2.4^2 }{12 } }[/tex]

           [tex]E = 2.12[/tex]

the 95% confidence interval for the differences of the means is mathematically represented as

        [tex]\= x_1 - \= x_2 - E < \mu_1 - \mu_2 < \= x_1 - \= x_2 + E[/tex]

substituting values

       [tex]13.7 - 10.7 - 2.12 < \mu_1 - \mu_2 < 13.7 - 10.7 + 2.12[/tex]

      [tex]0.88 < \mu_1 - \mu_2 < 5.12[/tex]

If r=9 and 4r+3s=75, what is the value of s?

Answers

4(9) + 3s = 75
36 + 3s = 75
3s = 39
s = 13

Answer:

s = 13

Step-by-step explanation:

4r+3s=75 , r = 9

Since we know the value of r, we can substitute the value of r into the above equation to find s

That's

4( 9) + 3s = 75

36 + 3s = 75

Group like terms

3s = 75 - 36

3s = 39

Divide both sides by 3

That's

[tex] \frac{3s}{3} = \frac{39}{3} [/tex]

We have the final answer as

s = 13

Hope this helps you

Please answer this correctly without making mistakes

Answers

Answer:

14 mi

Step-by-step explanation:

Cedarburg is 22 13/16 miles from Allenville and 8 13/16 miles from Lakeside.  You have to solve for the distance from Lakeside to Allenville.

8 13/16  +  x  =  22 13/16

(8 13/16  +  x)  -  8 13/16  =  22 13/16  -  8 13/16

x  =  14

The distance from Lakeside to Allenville is 14 miles.

State whether the given measurements determine zero, one, or two triangles. B = 84°, b = 28, c = 25 (5 points)

Answers

Answer:

  1

Step-by-step explanation:

The given angle is opposite the longest given side, so the parameters define exactly 1 triangle.

__

Additional comment

When the given angle is opposite the shortest given side, there may be 0, 1, or 2 triangles, depending on the angle and the ratio of sides. For the case here, there is only one possibility.

There are 30 colored marbles inside a bag. Six marbles are yellow, 9 are red, 7 are white, and 8 are blue. One is drawn at random. Which color is most likely to be chosen? A. white B. red C. blue D. yellow Include ALL work please!

Answers

Answer:

red

Step-by-step explanation:

Since the bag contains more red marbles than any other color, you are most likely to pick a red marble

Solve for X, 3^x + 3^2 = 90​

Answers

3^x + 3^2 = 90

Simplify the known power:

3^x + 9 = 90

Subtract 9 from both sides:

3^x = 81

Take the cubic root of both sides:

X = 4

What's the y-intercept of the function y=-2(2)* + 2?

Answers

Answer:

-2 is the y-intercept of this function.

Step-by-step explanation:

The distance that Sarah travels varies directly to how long she drives. She travels 440 miles in 8 hours. Write the equation that relates the distance, d, to the time, t. How many miles can Sarah travel in 6 hours?

Answers

Answer:

330

Step-by-step explanation:

If d = distance, t = time, and s = speed, then the relationship between the 3 is s * t = d.

Solve for speed by dividing the distance over the time, s = d/t. Then, plug in the speed which in this case is 55 mph and then multiply by the time of 6 hours.

What two rational expressions sum to [tex]\frac{4x+2}{x^{2}-9+8 }[/tex] Enter your answer by filling in the boxes. Enter your answer so that each rational expression is in simplified form.

Answers

Answer:

[tex]\frac{4x+2}{x^2 - 9x + 8} = \frac{4x}{(x-8)(x-1)} + \frac{2}{(x-8)(x-1)}[/tex]

Step-by-step explanation:

Given

[tex]\frac{4x+2}{x^{2}-9+8 } = \frac{A}{()(x-1)} + \frac{B}{()(x-8)}[/tex]

Required

Fill in the gaps

Going by the given parameters, we have that

[tex]\frac{4x+2}{x^{2}-9+8 } = \frac{A}{()(x-1)} + \frac{B}{()(x-8)}[/tex]

[tex]x^2 - 9x + 8[/tex], when factorized is [tex](x-1)(x-8)[/tex]

Hence; the expression becomes

[tex]\frac{4x+2}{(x-1)(x-8)} = \frac{A}{(x-8)(x-1)} + \frac{B}{(x-1)(x-8)}[/tex]

Combine Fractions

[tex]\frac{4x+2}{(x-1)(x-8)} = \frac{A + B}{(x-8)(x-1)}[/tex]

Simplify the denominators

[tex]4x + 2 = A + B[/tex]

By direct comparison

[tex]A = 4x[/tex]

[tex]B = 2[/tex]

Hence, the complete expression is

[tex]\frac{4x+2}{x^2 - 9x + 8} = \frac{4x}{(x-8)(x-1)} + \frac{2}{(x-8)(x-1)}[/tex]

Answer:4x+2/x2−9x+8 = −6/7(x−1) + 34/7(x−8)

can you please help ?

Answers

Answer:

69

Step-by-step explanation:

The order of operations is PEMDAS; parentheses, exponents, multiplication and division, and finally addition and subtraction.

We know that x is the first row, and if there are 30 spots in the first row, then x=30. Using this information, all we have to do now is plug in 30 for x and solve.

[tex]\frac{5(x)}{2} -6[/tex]

[tex]\frac{5(30)}{2}-6[/tex]

[tex]\frac{150}{2}-6[/tex]

[tex]75-6[/tex]

[tex]69[/tex]

I
7. Clarissa Santo worked in a position that earned $2,247 per month for 7 months. Then, she
received a promotion to a position that earned $2,310 per month. What total gross pay did Clarissa
earn for the year?​

Answers

Answer: $27,279

Step-by-step explanation:

The data is:

Clarissa earned $2,247 per month, in the first 7 months.

After that, she earned $2,310 per month.

What total gross pay did Clarissa  earned in one year?

Ok, a year has 12 months, in the first 7 months she earned $2,247 per month, so 7 times $2,247, this is:

7*$2,247 = $15,729

And in the other 12 - 7 = 5 months, she earned $2,310 per month, so 5 times $2,310.

5*$2,310 = $11,550

Adding those togheter:

Total gross = $15,729 + $11,550  = $27,279

Solve x/2 = 3x/4 + 5 (make sure to type the number only)

Answers

Answer:

x= -20

Step-by-step explanation:

x/2=3x/4+5

Multiply both sides of the equation by 4, the least common multiple of 2,4.

2x=3x+20

Subtract 3x from both sides.

2x−3x=20

Combine 2x and −3x to get −x.

−x=20

Multiply both sides by −1.

x=−20

Answer the question that follow about the given sequence. “Does not exist” and “none” are valid answers. Blank answers will be counted incorrect. -33, -27, -21, -15, … a. Arithmetic/Geometric/Neither? b. State the Common Ratio or Common Difference. c. Find the explicit formula for the nth term d. Find the recursive formula for the nth term e. Value of the 10th term f. ∑ notation for the Infinite Series. g. Sum of the Infinite Series.

Answers

Answer:

it's an arithmetic sequence with common difference 6An=6n-39, A10=21Sn=3n'2-(39/2)n

Suppose the following data show the prices of 4 cars with similar characteristics that sold at a recent auction (in thousands of dollars): 6.6, 5, 10.7, 7.3. Calculate the standard deviation of the sample of selling prices. (please express your answer using 2 decimal places)

Answers

Answer: 2.40

Step-by-step explanation:

Given: The prices of 4 cars with similar characteristics that sold at a recent auction (in thousands of dollars): 6.6, 5, 10.7, 7.3.

Let x: 6.6, 5, 10.7, 7.3.

n= 4

Mean : [tex]\overline{x}=\dfrac{\sum x}{n}[/tex]

[tex]\Rightarrow\ \overline{x}=\dfrac{6.6+5+10.7+7.3}{4}\\\\=\dfrac{29.6}{4}\\\\=7.4[/tex]

Now , standard deviation = [tex]\sqrt{\dfrac{\sum(x-\overline{x})^2}{n-1}}[/tex]

[tex]=\sqrt{\dfrac{(6.6-7.4)^2+( 5-7.4)^2+( 10.7-7.4)^2+( 7.3-7.4)^2}{4-1}}\\\\=\sqrt{\dfrac{0.64+5.76+10.89+0.01}{3}}\\\\=\sqrt{\dfrac{17.3}{3}}\approx2.40[/tex]

Hence, the standard deviation of the sample of selling prices = 2.40

A total of n bar magnets are placed end to end in a line with random independent orientations. Adjacent like poles repel while ends with opposite polarities join to form blocks. Let X be the number of blocks of joined magnets. Find E(X) and Var(X).

Answers

Answer:

E(x)  [tex]= \frac{n+1}{2}[/tex]

Var(x) [tex]= \frac{1}{4} [ n - 1 ][/tex]

Step-by-step explanation:

Hint x = 1 + x1 + ......... Xn-1

[tex]X_{i} = \left \{ {{1} if the ith adjacent pair of magnets repel each other \atop {0} if ith adjacent pair of magnets join} \right.[/tex]

attached below is the detailed solutioN

usually like poles of magnets repel each other and unlike poles of magnets attract each other forming a block

In the figure below, circle O has a central ángel of 120 degrees. what is the area shaded of the circle in terms of ,r, the radius? Leave your answer in terms of pi.

Answers

Answer:

the area of a section of a circle is [tex]\frac{1}{360}[/tex]* Θ * (area of the circle)

the theta/360 tells us the amount of circle currently in question

so , the answer will be 1/3 pi r^2        [A]

Simplify the following expression. 3x(4x − 3) A. 12x2 + 13x B. 12x2 + 5x C. 12x2 − 5x D. 12x2 − 9x

Answers

Answer:

Multiply using the distributive property.

D is the best answer.

Step-by-step explanation:

The simplified form of expression 3x (4x - 3) is 12x² - 9x.

What is an algebraic expression?

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

3x (4x - 3).

Simplify the expression by solving bracket term,

3x × (4x) - 3 x (3x)

12x² - 9x

The given expression can be simplified as 12x² - 9x.

Hence, option (D) is correct.

To know more about Algebraic expression on:

https://brainly.com/question/19245500

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What is an overdraft fee list two reasons why banks charge overdraft fees?

Answers

Answer:

An overdraft fee is a fee banks charge for withdrawing more money from an account than the current balance of that account. Banks charge overdraft fees to discourage overdrawing accounts and to make money from fees.

Step-by-step explanation:

Answer: Overdraft fee is when you withdraw more money from an account than the current balance of that account.

Step-by-step explanation:

Fees are charged to discourage overdrawing accounts and to make money from fees.

6x+6+9x+9=? Please help

Answers

Answer:

15x + 15

Step-by-step explanation:

Combine like terms. Like terms are terms with the same amount of variables. Set the equation so that the terms are grouped:

6x + 9x + 6 + 9

Combine like terms:

(6x + 9x) = 15x

(6 + 9) = 15

15x + 15 is your answer.

~

Answer:

15x+15

Step-by-step explanation:

6x+9x=15x

9+6=15

6x+6+9x+9=15x+15

WHat is the solution to the system of linear equations graphed below answers 3 1/2-4

Answers

Answer:

(3 1/2, -4)

Step-by-step explanation:

The solution is the point on the graph that the two lines intersect.  The point that the lines intersect in the graph is (3 1/2, -4).

Answer:

3 1/2 , -4

Step-by-step explanation:

yes

Solve the following equation
3x + 5 = 17

Geometry pre

Answers

Answer:

x = 4

Step-by-step explanation:

First, we need to get the 3x by itself on the left. To do this, we subtract 5 from both sides. 3x + 5 - 5 = 17 - 5; 3x = 12. Now, to find x, we divide both sides by 3 to get 3x/3=12/3; x = 4

Answer:

[tex] \boxed{ \boxed{ \bold{4}}}[/tex]

Step-by-step explanation:

[tex] \mathsf{3x + 5 = 17}[/tex]

Move constant to R.H.S and change it's sign

⇒[tex] \mathsf{3x = 17 - 5}[/tex]

Subtract 5 from 17

⇒[tex] \mathsf{3x = 12}[/tex]

Divide both sides of the equation by 3

⇒[tex] \mathsf{ \frac{3x}{3} = \frac{12}{3} }[/tex]

Calculate

⇒[tex] \mathsf{x = 4}[/tex]

Hope I helped!

Best regards!

You are studying for your final exam of the semester up to this point you received 3 exam scores of 61% 62% and 86% to receive a grade of c and the class you must have an average exam score between 70% and 79% for all four exams including the final find the widest range of scores that you can get on the final exam in order to receive a grade of C for the class 63 to 100% 71 to 100% 68 to 97

Answers

There will be a total of 4 test scores including the final exam. To get a 70, the 4 tests need to equal 4 x 70 = 280 points , to be 79, they have to equal 4 x 79 = 316 points.

The 3 already done = 61 + 62 + 86 = 209 points.

The final exam needs to be between :

280 -209 = 71

316 -209 = 107. The answer would be between 71 and 100%

Which of the following is the solution to the inequality below? -5x — 10 -6 B. x > -2 C. x <-6 D. x < -2

Answers

Answer:

x > -6

Step-by-step explanation:

-5x — 10 < 20

Add 10 to each side

-5x — 10+10 < 20+10

-5x < 30

Divide each side by -5, remembering to flip the inequality

-5x/-5 > 30/-5

x > -6

Answer:

x>-6

Step-by-step explanation:

[tex]-5x - 10 < 20\\\\\mathrm{Add\:}10\mathrm{\:to\:both\:sides}\\\\-5x-10+10<20+10\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-5x\right)\left(-1\right)>30\left(-1\right)\\\\\mathrm{Simplify}\\\\5x>-30\\\\\mathrm{Divide\:both\:sides\:by\:}5\\\\\frac{5x}{5}>\frac{-30}{5}\\\\x>-6[/tex]

The set of natural numbers is: infinite finite

Answers

Answer:

A natural number is a number that occurs commonly and obviously in nature. As such, it is a whole, non-negative number.

Step-by-step explanation:

Answer:

Finite

Step-by-step explanation:

please give me brainliest

Which method should be used to solve for x? 2.5 x = 5.7 distributive property addition property of equality combining like terms division property of equality

Answers

Answer:

division property of equality

Step-by-step explanation:

Answer:

division property of equality

Step-by-step explanation:

Consider the following. x = t2 − 2t, y = t5, 1 ≤ t ≤ 4 Set up an integral that represents the length of the curve. 4 1 dt Use your calculator to find the length correct to four decimal places.

Answers

Answer:

L ≈ 1023.0562

Step-by-step explanation:

We are given;

x = t² - 2t

dx/dt = 2t - 2

Also, y = t^(5)

dy/dt = 5t⁴

The arc length formula is;

L = (α,β)∫√[(dx/dt)² + (dy/dt)²]dt

Where α and β are the boundary points. Thus, applying this to our question, we have;

L = (1,4)∫√[(2t - 2)² + (5t⁴)²]dt

L = (1,4)∫√[4t² - 8t + 4 + 25t^(8)]dt

L = (1,4)∫√[25t^(8) + 4t² - 8t + 4]dt

Using online integral calculator, we have;

L ≈ 1023.0562

The length of the curve is 1023.0562 and this can be determined by doing the integration using the calculator.

Given :

[tex]\rm x = t^2-2t[/tex][tex]\rm y=t^5[/tex][tex]\rm 1\leq t\leq 4[/tex]

First, differentiate x and y with respect to 't'.

[tex]\rm \dfrac{dx}{dt}=2t-2[/tex]

[tex]\rm \dfrac{dy}{dt}=5t^4[/tex]

Now, determine the length of the curve using the below formula:

[tex]\rm L = \int^b_a\sqrt{\left(\dfrac{dx}{dt}\right)^2+\left(\dfrac{dy}{dt}\right)^2} dt[/tex]

Now, substitute the value of the known terms in the above formula and then integrate it.

[tex]\rm L = \int^4_1\sqrt{(2t-2)^2+(5t^4)^2} dt[/tex]

[tex]\rm L = \int^4_1\sqrt{25t^8+4t^2-8t+4} \;dt[/tex]

Now, simplify the above integration using the calculator.

L = 1023.0562

For more information, refer to the link given below:

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According to a report in USA Today, more and more parents are helping their young adult children purchase their first home. Suppose eight persons in a random sample of 40 young adults who recently purchased a home in Kentucky received help from their parents. You have been asked to construct a 95% confidence interval for the population proportion of all young adults in Kentucky who received help from their parents. What is the margin of error for a 95% confidence interval for the population proportion

Answers

Answer:

the margin of error

= 1.96 x 0.0632

= 0.124

Step-by-step explanation:

this question has the sample size, n = 40

8 people have received help from their parents from this sample.

8/40 = 0.2

which is the sample proportion

z = 1 - 0.2

= 0.8

to calculate standard error

√pz/n

= √0.2 x 0.8/40

= √0.16/40

= 0.0632

at 95% confidence level

z(alpha/2) = 1.96

therefore the margin of error

= 1.96 x 0.0632

= 0.124

Raul and his friends each way 1/20 of a ton are standing on a truck scale . The total weight shown by the scale is 3/4 of a ton . How can I find the total number of people on the scale when Raul and his friends are weighed?

Answers

Answer: There are 15 friends.

Step-by-step explanation:

We know that there is N friends (N is the number that we are looking for)

Each friend weights 1/20 ton.

Now, the weight of the N friends together is N times 1/20 ton.

Then we have:

N*(1/20) ton = 3/4 ton

We solve this for N.

First multiply both sides by 20.

20*N*(1/20) = N = 20*(3/4) = 60/4 = 15

Answer:

I can find the total number of people by dividing the total weight by the weight of one person.

Step-by-step explanation:

Use the graph showing Phillip's account balance to answer the question that follows. ^

What is the interest rate on Phillip's account?

A - 3.3%

B - 6.7%

C - 9.0%

D - 15.3%

Answers

Answer:

A - 3.3%

Step-by-step explanation:

From the graph

Where x= 0

Amount =$ 450

It shows that$450 is the capital

Then

When x= 3

Amount=$494.55

So interest generated within 3 years

= $494.55-$450

=$ 44.55

When x= 9

Amount = $583.65

So interest generated within 9 years

= $583.65-$450

=$ 133.65

PRT/10= Interest

450*x*3/100= 44.55

1350x= 4455

X= 4455/1350

X= 3.3

So the rate is =3.3%

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(x - y) + 2y + x3, when x = -3 and y=7plss help Arbitron Media Research Inc. conducted a study of the iPod listening habits of men and women. One facet of the study involved the mean listening time. It was discovered that the mean listening time for a sample of 13 men was 35 minutes per day. The standard deviation was 8 minutes per day. The mean listening time for a sample of 11 women was also 35 minutes, but the standard deviation of the sample was 18 minutes. Use a two-tailed test and at 0.10 significance level, can we conclude that there is a difference in the variation in the listening times for men and women? The text states that the Committee expects inflation to rise gradually toward 2% over the medium term as the labor market improves further. Why would the FOMC expect inflation to rise because of improvements in the labor market? If the probability that a person will die in the next year is 771/100,000what is the probability that the person will not die in the next year?A. 0.771%B. 99.229%C. 0.229%D. 99.771% The growth of railroads in the 1850s Group of answer choices brought to an end older forms of transportation such as stagecoach and horseback travel. fostered iron production and the telegraph industry. caused enough pollution to seriously hamper agricultural productivity in the Midwest. was due almost entirely to federal rather than private funding. Next Which of the following BEST describes ALL the parts of the United States that had been cleared of Native Americans by 1850? Everything north of the Ohio RiverEverything east of the Mississippi RiverThe Eastern Atlantic coastEverything from the Atlantic to the Pacific What area west of the Mississippi River was NOT settled by Americans before 1850? Arizona Oregon California Salt Lake area Question 5 Which region of the United States did large numbers of American settlers begin moving into in the middle of the 1800s? Eastern woodlands Southeast Great Plains Southwest Now that you have studied monopolistic competition, let's see how well you can distinguish a firm in a monopolistically competitive market from a firm in a perfectly competitive market. Given the description of the firm below, decide whether it applies to monopolistic competition, perfect competition, or both. You may have to adjust the scroll bar to see the complete list. 1. a firm that produces with excess capacity in 2. a firm that has a firm that sets price greater than marginal cost 3. a firm that may earn an econom profit or loss in the short run 4. a firm that faces a downward sloping demand curve.5. a firm that that maximizes profits profit in the long by producing where MR = MC Imagine it is the year 1607, and you are trying to get to the US. Write a list that includes how you would do this, what you might need to get there, and what are the risks/dangers of going? Must list at least 8 things. A company reports merchandise inventory on December 31 at $250,000 but LCM applied to items is $200,000. Record the journal entry to report merchandise inventory at the correct amount: ) Calculate current passing in an electrical circuit if you know that the voltage is 8 volts and the resistance is 10 ohms In a cumulative relative frequency curve, the interval with the highest proportion of measurements is the interval with the:_______a. flattest slope. b. steepest slope c. backward slope. d. negative slope. 22/25of a number is what percentage of that number?