Help me please !!!!

Help Me Please !!!!

Answers

Answer 1

Answer:

BC = 10

Step-by-step explanation:

BC = BD - CD

BC = 14 - 4

BC = 10


Related Questions

what is 1% of 62 like i dont understand this

Answers

1% of 62 would be 0.62

Answer:

0.62

Step-by-step explanation:

1. We assume, that the number 62 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 62 is 100%, so we can write it down as 62=100%.

4. We know, that x is 1% of the output value, so we can write it down as x=1%.

5. Now we have two simple equations:

1) 62=100%

2) x=1%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

62/x=100%/1%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 1% of 62

62/x=100/1

(62/x)*x=(100/1)*x       - we multiply both sides of the equation by x

62=100*x       - we divide both sides of the equation by (100) to get x

62/100=x

0.62=x

x=0.62

now we have:

1% of 62=0.62

please i need this answer right now !!!! Dx

Answers

Answer: the answer is d sin30degrees equal 5/x because sin is opposite over hyponuese

(0, 3) and (-2, -1)
Write an equation in slope intercept from of the line that passes through the given points.

Answers

Answer:

y = 2x + 3

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

Step 1: Find slope m

m = (-1 - 3)/(-2 - 0)

m = -4/-2

m = 2

y = 2x + b

Step 2: Rewrite equation

y = 2x + 3

*You are given y-intercept (0, 3), so simply add it to your equation.

Talk about why you think it is sometimes important to represent a procedure mathematcally. Give an example in life that a mathematcal procedure helped you solve a problem. In this procedure, what is independent quanity, what is dependent quanity?

Answers

Answer:

See Explanation

Step-by-step explanation:

Representing a procedure mathematically enables us to model life situations, solve for the unknown variables, and interpret back into the given situation for implementation.

A typical example is determining the gallons of gasoline a car would consume at a certain speed.

In this example, the independent variable is the driving speed, and the dependent variable is the gasoline consumption.

Gasoline consumption will either increase or decrease based on the speed of the car. The speed of the car is not affected by gasoline consumption.

Vhat percent of the area underneath
this normal curve is shaded?

Answers

Answer:

99.7

be careful there is a very similar problem to this one which is the answer 95

The percentage of the shaded area underneath this normal curve is 95% because it lie within two (2) standard deviations of the mean.

What is standard deviation?

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

here, we have,

The 68-95-99.7 rule is also referred to as the empirical rule or the three-sigma rule and it can be defined as a shorthand which is used in statistics to determine the percentage of a population parameter that lie within an interval estimate in a normal distribution curve.

Basically, the 68-95-99.7 rule states that 68%, 95%, and 99.7% of the population parameter lie within one (1), two (2), and three (3) standard deviations of the mean respectively.

so, we get,

This ultimately implies that, the percentage of the shaded area underneath this normal curve is 95% because it lie within two (2) standard deviations of the mean.

Learn more about standard deviation here:

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A lady buys bananas at 3 Rs 5 and sells them at 2 Rs for Rs 5; find her gain percent.​

Answers

Answer:

50%

Step-by-step explanation:

Cost of 3 bananas= Rs. 5 ⇒ cost of 1 banana= Rs. 5/3

Selling price of 2 bananas= Rs. 5 ⇒ selling price of 1 banana= Rs. 5/2

Gain= Rs. (5/2- 5/3)= Rs. (15/6- 10/6)= Rs. 5/6

Gain %= 5/6÷5/3 × 100%= 50%

Suppose that you have 9 cards. 5 are green and 4 are yellow. The 5 green cards are numbered 1, 2, 3, 4, and 5. The 4 yellow cards are numbered 1, 2, 3, and 4. The cards are well shuffled. Suppose that you randomly draw two cards, one at a time, and without replacement. • G1 = first card is green • G2 = second card is green a) Draw a tree diagram of the situation. (Enter your answers as fractions.) b) Enter the probability as a fraction. P(G1 AND G2) = c)Enter the probability as a fraction. P(at least one green) = d)Enter the probability as a fraction. P(G2 | G1) = _______.

Answers

The probability of picking greens on both occasions will be 5/18.

How to explain the probability?

The probability of picking greens cards will be:

= 5/9 × 4/8

= 5/18

The probability of picking at least one green will be:

= 1 - P(both aren't green)

= 1 - (4/9 × 3/8)

= 1 - 1/6.

= 5/6

From the tree diagram, the probability as a fraction of P(G2 | G1) will be:

= 4/8 = 1/2

Learn more about probability on:

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An organization will give a prize to a local artist. The artist will be randomly chosen from among 11 painters, 3 sculptors, and 5 photographers. What is the
probability that the artist chosen will be a sculptor or a photographer?
Write your answer as a fraction in simplest form.

Answers

Answer: 8/19

Work Shown:

3 sculptors + 5 photographers = 8 of either

this is out of 11+3+5 = 19 artists total

the probability of getting a sculptor or photographer is 8/19

Determine the critical value for a left​-tailed test regarding a population proportion at the alphaequals0.01 level of significance.

Answers

Answer:

Critical value zc=-2.326

Step-by-step explanation:

We have a left tailed test regarding a population proportion.

The significance level is α=0.01.

That means that the critical value zc satisfies the equation:

[tex]P(z<z_c)=0.01[/tex]

This critical value needs to be looked up in a standard normal distribution probability table (or an applet or software).

The value for this critical value is zc=-2.326.

A picture of the stantdard normal distribution and the critical value is attached.

20. Which of the following trigonometric identities is not correct?
Hypotenuse
A. sin(e)
Opposite
Opposite
B. tan(0)=
Adjacent
Adjacent
C. cot(0)=
Opposite
Adjacent
D. cos(0) =
Hypotenuse

Answers

Answer:

Check below for the answers

Step-by-step explanation:

Note: The options are not clearly expressed but below are the correct  expressions for the trigonometric identities stated in the options.

Using the SOHCAHTOA principle

sin θ = Opposite / Hypotenuse

tan θ = opposite  / Adjacent

Cot θ = 1 / tan θ = Adjacent / Opposite

cos θ = Adjacent / Hypotenuse

Please check my answer! The faculty at a particular school have attended up to an average 4 years of college with a standard deviation of 2 years. Faculty members who are in the lower 10% of the distribution will be offered the opportunity to obtain additional training. A faculty member must have attended less than ___________ years of school to qualify for the training. Round your answer to the year. My answer: 1 – 0.10 = 0.90 0.9 - 0.5 = 0.40 z-score = 1.28 (corresponds with 0.3997) x = (1.28)(2) + 4 = 7 years (rounded)

Answers

Answer:

1 year

Step-by-step explanation:

1. Convert 10% into a z-score, using a calculator or whateva

2. Z = -1.281551 ( you can find this by doing the following equation: (x - mean) / (standard deviation)

3. Hence -1.281551 = (x - 4) / 2 or, x = 1.436898, ( rounded to the nearest year ) = 1 year

PLS HELP ASAP!!!!........

Answers

Answer:

aaaaha pues

Step-by-step explanation:

Answer:

what happened

Step-by-step explanation:

Solve the system of equations for the variables: x+2y-z=3 x+y-2z= -1

Answers

Answer:

z=0

x= -5

y=4

Step-by-step explanation:

Check the attachment please

Hope this helps :)

Step-by-step explanation:

x + 2y − z = 3

x + y − 2z = -1

There are three variables but only two equations, so this system of equations is undefined.  We cannot solve for the variables, but we can eliminate one of them and reduce this to a single equation.

Double the first equation:

2x + 4y − 2z = 6

Subtract the second equation.

(2x + 4y − 2z) − (x + y − 2z) = (6) − (-1)

2x + 4y − 2z − x − y + 2z = 7

x + 3y = 7

Four students are working on a Math problem to find the soulution to 2x-3=11. Each student got a different answer. The four answers were 5,6,7 and 8. Which of these numbers make the equation true?

Answers

Answer:

7

Step-by-step explanation:

2x-3=11

Move the -3 to the right side by adding 3 to both sides of the equation

2x=14

Divide both sides by 2 to get x by itself

x=7

Answer:

  7

Step-by-step explanation:

2x -3 = 11

2x = 14 . . . . add 3

x = 7 . . . . . . divide by 2

The number 7 makes the equation true when substituted for x.

A number that is 42% less than c.

Answers

Answer:

.58c

Step-by-step explanation:

Find 42% of c

.42c

Then subtract that from c

c - .42c

.58c

.58c is 42% less than c

are the two triangles below similar​

Answers

Answer:

Hey!

Your answer is YES!

AKA the Last Option on your screen!

Step-by-step explanation:

It is this because...

They both have the angles 105 in it...

And looking at the other angle on the smaller one (25)

50 + 25 = 75 ... 180 - 75 = 105

WE HAVE 105 as an angle on the larger triangle...which makes them SIMILAR but congruent Angles!

It cant be the "corresponding sides" as we do not have the notations (lines intersecting the sides) that let us know that the lines are the same.

Hope this helps!

Make x the subject of the formula a x + 2 c = b x + 3 d

Answers

Answer:

x = (3d - 2c)/(a - b)

Step-by-step explanation:

ax + 2c = bx + 3d

ax - bx = 3d - 2c

x(a - b) = 3d - 2c

x = (3d - 2c)/(a - b)

Answer:

[tex]\boxed{x = \frac{3d-2c}{a-b}}[/tex]

Step-by-step explanation:

=> [tex]ax+2c = bx+3d[/tex]

Subtracting bx to both sides

=> [tex]ax-bx+2c= 3d[/tex]

Subtracting 2c to both sides

=> [tex]ax-bx = 3d-2c[/tex]

Taking x common

=> [tex]x(a-b) = 3d-2c[/tex]

Dividing both sides by (a-b)

=> [tex]x = \frac{3d-2c}{a-b}[/tex]

The weight of a box of cereal can vary by of an ounce and still be sold as a full box. Each box is supposed to contain 18 ounces of cereal. Which graph represents the possible weights of boxes that are overfilled or underfilled and cannot be sold as full boxes?

Answers

Answer:

Its B

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Its B on edge

Your bank balance is $102.35 and you've just made purchases for $20, $33.33, and $52.80. You then make deposits of $25 and $24.75. What's your new balance?
A. 565.77
B. 54102
C. $45.97
D. 551.22

Answers

Answer:

C

Step-by-step explanation:

102.35-20-33.33-52.80+25+24.75

45.97

C.$45.97 because $102.35 minus $20, $33.33, and $52.80 is -$3.78 but if you add $25 and $24.75 it's $45.97

Need help with this as soon as possible.

Answers

Answer:

after 9 weeks it would become 9*1+10=19 inches

and after w weeks it will be w*1+10 inches tall

hope this helps

Step-by-step explanation:

Answer:

a) 19 inches

b) 10+w inches

Step-by-step explanation:

The equation for this problem is 10 + w.  In the first part, w = 9, so the plant is 19 inches tall.

Suppose a certain state university's college of business obtained the following results on the salaries of a recent graduating class.
Finance Majors Business Analytics Majors
n1 = 120 n2 = 30
X1 = $45,137 X2 - $55.417 5
1 = $19,000 1 = $10,000
A) Formulate hypothes so that, the nullypothesis is rejected, we can conclude that salaries for Finance majors are significantly lower than the salaries of Business Analytics majors. Use the alpha = 0.05.
B) What is the value of the test statistics.
C) What is the p-value.
D) What is your conclusion?
1. Do not reject H0. We cannot conclude that series for Face major are significantly lower than the aim of Analytics majors.
2. Do not reject H0. We can conclude that salaries for Finance majors are significantly lower than the sales of Business Analytics majors.
3. Reject H0. We cannot conclude that salaries for Finance majors are significantly lower than the sales of Business Analytics majors.
4. Reject H0. We can conclude that salaries for Finance majors are significantly lower than the sales of Business Analytics majors.

Answers

Answer: 2.

Step-by-step explanation: Don't reject H0, we can't conclude cause of the sales and the aftermath.

Which of the following (x,y) pairs is the solution for the system of equations x+2y=4 and -2x+y=7

Answers

Answer:

(-2 ,3)

Step-by-step explanation:

Step 1: Rewrite first equation

x = 4 - 2y

-2x + y = 7

Step 2: Substitution

-2(4 - 2y) + y = 7

Step 3: Solve y

-8 + 4y + y = 7

-8 + 5y = 7

5y = 15

y = 3

Step 3: Plug in y to find x

x + 2(3) = 4

x + 6 = 4

x = -2

F (X) = x² - 2x and 6(x) = 3x+1
A) Find F(g(-4))
B) Find F(g(x)) simply
C) find g^-1 (x)

Answers

Part A

g(x) = 3x+1

g(-4) = 3(-4)+1 ... every x replaced with -4

g(-4) = -12+1

g(-4) = -11

Plug this into the f(x) function

f(x) = x^2 - 2x

f( g(-4) ) = (g(-4))^2 - 2( g(-4) )

f( g(-4) ) = (-11)^2 - 2(-11)

f( g(-4) ) = 121 + 22

f( g(-4) ) = 143 is the answer

====================================================

Part B

Plug the g(x) function into the f(x) function

f(x) = x^2 - 2x

f( g(x) ) = ( g(x) )^2 - 2( g(x) ) ... replace every x with g(x)

f( g(x) ) = (3x+1)^2 - 2(3x+1)

f( g(x) ) = (9x^2+6x+1) + (-6x-2)

f( g(x) ) = 9x^2+6x+1-6x-2

f( g(x) ) = 9x^2-1  is the answer

Note that we can plug x = -4 into this result and we would get

f( g(x) ) = 9x^2-1

f( g(-4) ) = 9(-4)^2-1

f( g(-4) ) = 9(16)-1

f( g(-4) ) = 144-1

f( g(-4) ) = 143 which was the result from part A

====================================================

Part C

Replace g(x) with y. Then swap x and y. Afterward, solve for y to get the inverse.

[tex]g(x) = 3x+1\\\\y = 3x+1\\\\x = 3y+1\\\\3y+1 = x\\\\3y = x-1\\\\y = \frac{1}{3}(x-1)\\\\y = \frac{1}{3}x-\frac{1}{3}\\\\g^{-1}(x) = \frac{1}{3}x-\frac{1}{3}\\\\[/tex]

Find the slope and y-intercept: 4x-y+6=0

Answers

Answer:

The slope is 4, and the y-intercept is 6.

Step-by-step explanation:

The equation of the line is generally written as y = mx + b.

Where m is the slope, and b is the y-intercept.

4x - y + 6 = 0

Solve for y.

- y = 0 - 4x - 6

y = -1(-4x - 6)

y = 4x + 6

The slope of the line is 4, and the y-intercept of the line is 6.

Answer:

Y-intercept is (0,6). The slope is 4

Step-by-step explanation:

Find the measure of ∠3.

Answers

This is a kite due to the adjacent congruent sides (shown by the tickmarks). With any kite, the diagonals are perpendicular. So angle 3 is 90 degrees.

Answer: 90 degrees

Suppose that the scores of bowlers in particular league follow a normal distribution such that the standard deviation of the population is 6. Find the 95% confidence interval of the mean score for all bowlers in this league, using the accompanying data set of 10 random scores. Round your answers to two decimal places and use ascending order. Score 86 86 93 88 98 107 93 75 89

Answers

Answer:

A 95% confidence interval for the population mean score for all bowlers in this league is [86.64, 94.48].

Step-by-step explanation:

Since in the question only 9 random scores are given, so I am performing the calculation using 9 random scores.

We are given that the scores of bowlers in particular league follow a normal distribution such that the standard deviation of the population is 6.

The accompanying data set of 9 random scores in ascending order is given as; 75, 86, 86, 88, 89, 93, 93, 98, 107

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                             P.Q.  =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\bar X[/tex] = sample mean score = [tex]\frac{\sum X}{n}[/tex] = [tex]\frac{815}{9}[/tex] = 90.56

            [tex]\sigma[/tex] = population standard deviation = 6

            n = sample of random scores = 9

            [tex]\mu[/tex] = population mean score for all bowlers

Here for constructing a 95% confidence interval we have used a One-sample z-test statistics because we know about population standard deviation.

So, 95% confidence interval for the population mean, [tex]\mu[/tex] is ;

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5% level

                                                   of significance are -1.96 & 1.96}  

P(-1.96 < [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] < 1.96) = 0.95

P( [tex]-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]\bar X-\mu}[/tex] < [tex]1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.95

P( [tex]\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.95

95% confidence interval for [tex]\mu[/tex] =  [ [tex]\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] , [tex]\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ]

                                          = [ [tex]90.56-1.96 \times {\frac{6}{\sqrt{9} } }[/tex] , [tex]90.56+1.96 \times {\frac{6}{\sqrt{9} } }[/tex] ]

                                          = [86.64 , 94.48]

Therefore, a 95% confidence interval for the population mean score for all bowlers in this league is [86.64, 94.48].

Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score is less than negative 0.84 and draw a sketch of the region.

Answers

Answer:

The "probability that a given score is less than negative 0.84" is  [tex] \\ P(z<-0.84) = 0.20045[/tex].

Step-by-step explanation:

From the question, we have:

The random variable is normally distributed according to a standard normal distribution, that is, a normal distribution with [tex] \\ \mu = 0[/tex] and [tex] \\ \sigma = 1[/tex].We are provided with a z-score of -0.84 or [tex] \\ z = -0.84[/tex].

Preliminaries

A z-score is a standardized value, i.e., one that we can obtain using the next formula:

[tex] \\ z = \frac{x - \mu}{\sigma}[/tex] [1]

Where

x is the raw value coming from a normal distribution that we want to standardize.And we already know that [tex] \\ \mu[/tex] and [tex] \\ \sigma[/tex] are the mean and the standard deviation, respectively, of the normal distribution.

A z-score represents the distance from [tex] \\ \mu[/tex] in standard deviations units. When the value for z is negative, it "tells us" that the raw score is below [tex] \\ \mu[/tex]. Conversely, when the z-score is positive, the standardized raw score, x, is above the mean, [tex] \\ \mu[/tex].

Solving the question

We already know that [tex] \\ z = -0.84[/tex] or that the standardized value for a raw score, x, is below [tex] \\ \mu[/tex] in 0.84 standard deviations.

The values for probabilities of the standard normal distribution are tabulated in the standard normal table, which is available in Statistics books or on the Internet and is generally in cumulative probabilities from negative infinity, - [tex] \\ \infty[/tex], to the z-score of interest.

Well, to solve the question, we need to consult the standard normal table for [tex] \\ z = -0.84[/tex]. For this:

Find the cumulative standard normal table.In the first column of the table, use -0.8 as an entry.Then, using the first row of the table, find -0.04 (which determines the second decimal place for the z-score.)The intersection of these two numbers "gives us" the cumulative probability for z or [tex] \\ P(z<-0.84)[/tex].

Therefore, we obtain [tex] \\ P(z<-0.84) = 0.20045[/tex] for this z-score, or a slightly more than 20% (20.045%) for the "probability that a given score is less than negative 0.84".

This represent the area under the standard normal distribution, [tex] \\ N(0,1)[/tex], at the left of z = -0.84.

To "draw a sketch of the region", we need to draw a normal distribution (symmetrical bell-shaped distribution), with mean that equals 0 at the middle of the distribution, [tex] \\ \mu = 0[/tex], and a standard deviation that equals 1, [tex] \\ \sigma = 1[/tex].

Then, divide the abscissas axis (horizontal axis) into equal parts of one standard deviation from the mean to the left (negative z-scores), and from the mean to the right (positive z-scores).  

Find the place where z = -0.84 (i.e, below the mean and near to negative one standard deviation, [tex] \\ -\sigma[/tex], from it). All the area to the left of this value must be shaded because it represents [tex] \\ P(z<-0.84) = 0.20045[/tex] and that is it.

The below graph shows the shaded area (in blue) for [tex] \\ P(z<-0.84)[/tex] for [tex] \\ N(0,1)[/tex].

Subtract :2/3z-(5/6z^2-z+3/z) what is the resulting rational expression
A.3z^2+3/6z^2
B.6z^2+10/6z^2
C.3z^2+10z-8/6z^2
D.6z^2+22z-5/6z^2

Answers

Answer:

The correct answer is D

Step-by-step explanation:

i just did the assignment

Answer:

Correct answer: D

Step-by-step explanation:

just did it on edge

Find the values of b and c so g(x)=6x^2+bx+c has a vertex of (7,-9).

Answers

Answer:

b = -84

c = 285

Step-by-step explanation:

Given that:

[tex]g(x)=6x^2+bx+c[/tex]

Vertex of (7, -9).

To find:

Value of b and c = ?

Solution:

It can be seen that the given equation is of a parabola.

Standard equation of a parabola is given as:

[tex]y =Ax^2+Bx+C[/tex]

x coordinate of vertex is given as:

[tex]h=\dfrac{-B}{2A}[/tex]

Here, A = 6, B = b and C = c, h = 7 and k = -9

[tex]7=\dfrac{-b}{2\times 6}\\\Rightarrow b = -84[/tex]

So, the equation of given parabola becomes:

[tex]y=6x^2-84x+c[/tex]

Now, putting the value of vertex in the equation to find c.

[tex]-9=6\times 7^2-84\times 7+c\\\Rightarrow -9=294-588+c\\\Rightarrow -9=-294+c\\\Rightarrow c = 285[/tex]

So, the answer is :

b = -84

c = 285

HElp 64 points and Brainlyiest to who ever can solve the problem question on the picture
Which property was applied in this step?
Addition Property of Equality
O Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equalit

Answers

Answer:

Addition Property of Equality

Step-by-step explanation:

You are adding 3/4 to both sides to isolate the x.

Other Questions
Which inequality represents all values of x for which the product below isdefined?x-5 what is a type of system software that allows a user to perform maintenance type tasks Derive R = v0 2 sin20 / g for the range of a projectile on level ground by finding the time t at which y becomes zero and substituting this value of t into the expression for x x0, noting that R = x x0. What makes up the majority of the solar system?starsplanetsasteroidsspace The tax rate is 6.8%. What is the tax on $9.95? How do we regulate interest groups and lobbying activity what are the goals of these regulations? solve and find the value of (1.7)^2 AD=DB and AE =EC MEF= 6MI0pts Formula to find mass percent of an element Florida has been spending money to create storm shelters. The state is preparing for . California has been spending money to establish desalination plants. The state is preparing for . During 2021, Farewell Inc. had 500,000 shares of common stock and 50,000 shares of 6% cumulative preferred stock outstanding. The preferred stock has a par value of $100 per share. Farewell did not declare or pay any dividends during 2021. Farewell's net income for the year ended December 31, 2021, was $2.5 million. The income tax rate is 25%. Farewell granted 10,000 stock options to its executives on January 1 of this year. Each option gives its holder the right to buy 20 shares of common stock at an exercise price of $29 per share. The options vest after one year. The market price of the common stock averaged $30 per share during 2021. What is Farewell's diluted earnings per share for 2021, rounded to the nearest cent? A) $3.14. B) $4.90. C) $4.34. D) Cannot determine from the given information. Blue Cab Company had 50,000 shares of common stock outstanding on January 1, 2021. On April 1, 2021, the company issued 20,000 shares of common stock. The company had outstanding fully vested incentive stock options for 5,000 shares exercisable at $10 that had not been exercised by its executives. The end-of-year market price of common stock was $13 while the average price for the year was $12. The company reported net income in the amount of $269,915 for 2021. What is the diluted earnings per share (rounded)? A) $3.60. B) $4.10. C) $4.50. D) $3.81. You are testing the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats. You sample 80 men, and 55% own cats. You sample 100 women, and 30% own cats. Find the test statistic, rounded to two decimal places. 41.11Incorrect HELP ME!!!!!!!!France strengthened its control over its colony in Indochina by: what is tan 30*? picture below in the diagram below, p is circumscribed about quadrilateral abcd. what is the value of xangle c= 88 degreesangle a= x+10 degrees in which Market is money bought and sold using other types of money?a. the new York stock exchangeb.the commodity future market c.the federal reserve Bankd.the currency exchange market The balance in the Bonds Payable account is a credit of $65,500. The balance in the Discount on Bonds Payable account is a debit of $2,150. How much is the bond's carrying amount? Isomers, such as acetic acid and methyl formate, haveA. different empirical formulas.B. the same chemical formula, arrangement of bonds, and orientation of atoms.C. the same chemical formula but different arrangements of bonds or atoms.D. different chemical formulas. Think of yourself as a parent, teacher, or coach of young children. You need to give them abrief talk on trustworthiness. What would you say? The graph shows the distribution of energy emitted by a star.Which is thebestconclusion to draw about the star?A) It has a lower temperature than the Sun because its peak wavelength is longer than the Suns.B) It has a lower temperature than the Sun because its peak wavelength is shorter than the Suns.C) It has a higher temperature than the Sun because its peak wavelength is longer than the Suns.D) It has a higher temperature than the Sun because its peak wavelength is shorter than the Suns.THE ANSWER IS A