A club had some money to purchase new chairs. After buying 355 chairs at $199 each, there was $1,068 remaining. How much money did the club have at first? *

Answer:

-0.04

Step-by-step explanation:

tan([tex]\frac{5}{7}[/tex] - π) = -0.04

Given:

[tex]\text{tan}(t)=\frac{5}{7}[/tex]

To find:

Value of [tex]\text{tan}(t-\pi )[/tex]

Solution:

To solve the given expression we will use the identity,

[tex]\text{tan}(A-B)=\frac{\text{tan}A-\text{tan}B}{1+\text{tan}A\text{tan}B}[/tex]

Now substitute the values,

[tex]A=t[/tex]

[tex]B=\pi[/tex]

[tex]\text{tan}(t-\pi)=\frac{\text{tan}t-\text{tan}\pi }{1+\text{tan}t\text{tan}\pi }[/tex]

Since, the value of [tex]\text{tan}(\pi )[/tex] is [tex]0[/tex].

[tex]\text{tan}(t-\pi)=\frac{\text{tan}t-0}{1+\text{tan}t\times (0)}[/tex]

                [tex]=\frac{\text{tan}t}{1}[/tex]

                [tex]=\text{tan}t[/tex]

Therefore, [tex]\text{tan}(t-\pi)=\frac{5}{7}[/tex] will be the answer.

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Answer: false

Step-by-step explanation:

Answer:

the answer to this question would be A

Answer:

d

Step-by-step explanation:

Answer:

More formally, statistical power is the probability of finding a statistically significant result, given that there really is a difference (or effect) in the population. ... So, larger sample sizes give more reliable results with greater precision and power, but they also cost more time and money.

Answer:

70%

Step-by-step explanation:

Answer:

11 times

Step-by-step explanation:

35 divided by 3 = something like 11.6666666666. . .

That means that 3 only goes into 35 11 times since you don't count the 0.666666666. . .

Hope I helped :)

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[tex]\huge\boxed{11\;times.}[/tex]

We have the question...

How many times does 3 go into 35?

Well, this is pretty simple all you have to do is count up by 3s until you get to the number. Remember, it doesn't have to be exact though. So, here we go count by threes 11 times. We get 33 from 3*11. Therefore, your answer will be 11 times.

Answer:

(x-18)^2+(y+6)^=36

Step-by-step explanation:

circle basic equation is (x-h)^2+(y-k)^2=r^2

center is (18,-6) it is also externally tangent

so

(x-18)^2+(y+6)^2=36 answer

The equation of a circle that is externally tangent to the given circle and has a center at (18, −6) is [tex](x-18)^2+(y+6)^=36[/tex]

A circle can be characterized by its center's location and its radius's length. Let the center of the considered circle be at (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Given that the circle basic equation is [tex](x-2)^2+(y+6)^2=100[/tex]

The center is (18,-6) it is also externally tangent;

Therefore,

[tex](x-18)^2+(y+6)^2=36[/tex]

Therefore, the equation of a circle that is externally tangent to the circle is; [tex](x-18)^2+(y+6)^2=36[/tex]

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Answer:

60% would be the correct answer

Step-by-step explanation:

The girls percentage among students is 60%.

A percentage is a proportion that shows a number as parts per hundred. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

For the given situation,

Total number of students = 50

Number of boys = 20

Number of girls = [tex]50-20[/tex]

⇒ [tex]30[/tex]

Thus, girls percentage is

⇒ [tex]\frac{30}{50}(100)[/tex]

⇒ [tex]60[/tex]

Hence we can conclude that the girls percentage among students is 60%.

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Answer:

Step-by-step explanation:

1. Let's see. One time $10 and $3.50 per hour. So $10+$3.50x(where x represents number of hours)

2. Put in the value of x(substitute it).

$10+$3.50x

$10+$3.50(5)

$10+$17.50

Answer-$27.50

Hope it helps!

Answer:

It would be C and E

Step-by-step explanation:

I know I'm extremely late but for anyone else who needs to know here you go :)

Answer:

C≈31.42

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·10≈31.41593

Answer:

x = 15°

Step-by-step explanation:

(5x-15) + 75 + 3x = 180

8x + 60 = 180

8x = 120

x = 15°

Answer:

A. -1.8x² – 1.61x + 217.55 > 255

Step-by-step explanation:

Since Pattie's Produce charges $2.29 for a package of strawberries and 95 packages can be produced daily. The money gotten daily = $2.29 × 95 packages = $217 Since 20 cent increase leads to 9 less package.

The number of 20-cent increases in the cost of a package of strawberries can be gotten from:

(2.29 + 0.2x)(95 - 9x) > 255

217.55 - 20.61x + 19x - 1.8x² > 255

-1.8x² - 1.61x + 217.55 > 255

Answer:

A. -1.8x² – 1.61x + 217.55 > 255

Step-by-step explanation:

EDMENTUM

Answer:

81 Cups of Pretzels and 40.5 Cups of M&M's

Step-by-step explanation:

p= Pretzels

m= M&M;s

3p+1.5m= 1

3(27)+ 1.5(27)

81 + 40.5

Answer:

Step-by-step explanation:

First, figure out how much he makes each hour. To do this, we divide 28 by 4 which is 7. This means he makes 7 dollars an hour.

1            7

2           14

3          21

4          28

5           35

6          42

7           49

This goes on and on, but we need to know how many he makes for 7 hours. The answer is 49!  

Answer:

The ratios of earnings to hours are not the same each week, so the earnings do not vary directly with the hours.

Step-by-step explanation:

We know that the data points given by (x,y) are in direct variation if:

 for each (x,y)

We are given data as:

Caleb’s Earnings Hours(x)        12          15         18         21

Earnings (in dollars)(y)              140        170      200     230

So, we could see the ratio as:

Hence, we could see that each ratio are not equal.

Hence, the relationship between the earnings and the number of hours does not represents a direct variation.

Answer:

x=11

Step-by-step explanation:

Answer:-0.5; 0.75*4=3, 2-3=-0.5

Step-by-step explanation:

Answer:

-0.5...............

Answer:

The answer is B, I know this because I just took a test with this question lol

If 12 correct answers constitute a passing grade on a 20-item true-false exam, the probability that someone will pass is 1/2 if they are guessing.

Therefore,

Let X denote the number of correctly answered questions out of a total of 20.

Bernoulli trails are formed by repeated coin tosses. Because the "head" on a coin represents the correct answer and the "tail" represents the incorrect answer, the questions that are correctly answered are Bernoulli trials.

[tex]$&\therefore \mathrm{p}=\frac{1}{2} \\[/tex]

[tex]&\therefore \mathrm{q}=1-\mathrm{p}=1-\frac{1}{2}=\frac{1}{2}[/tex]

X follows a binomial distribution with n = 20 and p = 1/2

[tex]&\therefore P(X=x)={ }^n C_x q^{n-x} p^x \\[/tex]

[tex]&={ }^{20} C_x\left(\frac{1}{2}\right)^{20-x} \cdot\left(\frac{1}{2}\right)^x \\[/tex]

[tex]&={ }^{20} C_x\left(\frac{1}{2}\right)^{20}[/tex]

P ( at least 12 questions answered correctly )= P (X ≥ 12)

[tex]&=\mathrm{P}(\mathrm{X}=12)+\mathrm{P}[/tex][tex](\mathrm{X}=13)+\ldots+\mathrm{P}(\mathrm{X}=20) \\[/tex]

[tex]&={ }^{20} \mathrm{C}_{12}\left(\frac{1}{2}\right)^{20}+{ }^{20}[/tex][tex]\mathrm{C}_{13}\left(\frac{1}{2}\right)^{20}+\ldots+{ }^{20}[/tex][tex]\mathrm{C}_{20}\left(\frac{1}{2}\right)^{20} \\[/tex]

[tex]&=\left(\frac{1}{2}\right)^{20} \cdot\left[{ }^{20} \mathrm{C}_{12}+{ }^{20} \mathrm{C}_{13}+\ldots+{ }^{20} \mathrm{C}_{20}\right][/tex]

Hence, If 12 correct answers constitute a passing grade on a 20-item true-false exam, the probability that someone will pass is 1/2 if they are guessing.

The complete question is:

In an examination, 20 questions of true-false type are asked. Suppose a student tosses a fair coin to determine his answer to each question. If the coin falls heads, he answers 'true', if it falls tails, he answers 'false'. Find the probability that he answers at least 12 questions correctly.

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Answer:

Jenn runs faster at 9 minutes/mile.

Step-by-step explanation:

Jana runs 3 miles in 1/3 hour.

1/3 hour is equivalent to 1/3*60 = 20 minutes

The ratio time/distance is the reciprocal of the speed and is greater as the speed is lower and vice-versa.

This ratio for Jana is 20/3=16.7 minutes/mile

As for Jenn, she runs 5 miles in 3/4 hour.

3/4 hour is equivalent to 3/4*60=45 minutes

The ratio time/distance is 45/5=9 minutes/mile

Since Jenn has a lower ration, her speed is greater than Jana's, thus Jenn runs faster.

Answers:

1) 7.1

2) -7.1

3) -3

Plug in the numbers

Answer:

See explanation

Step-by-step explanation:

Given

[tex]Needed = 19000[/tex]

Required

Support the jeweler's conclusion

From the question, we have that:

[tex]Boxes = 48[/tex]

[tex]Bead = 400[/tex] per box

So, he bought a total of:

[tex]Total = 48 * 400[/tex]

[tex]Total = 19200[/tex]

Since, he needed exactly 19000 and he has 192000, we can conclude that he has enough beads

Step-by-step explanation:

B. Yes, we are 99% confident that the population mean is within the interval.

C. Yes, 225 is below the interval minimum, so it is reasonable to conclude the average cholesterol level is greater than 225 mg/dl.

D. No.  Increasing the sample size would decrease the margin of error, so the ends of the interval would move closer to the sample mean of 251.9.  So the interval minimum would still be higher than 225.

Answer:

209.106 = (2 x 100) + (0 x 10) + (9 x 1) + (1/10) + (0/100) + (6/1000)

Answer:

200+9+0.1+0.006.

Step-by-step explanation:

Answer: The sum of the area of it's faces

Step-by-step explanation: its the surafce area.

Answer:

$34032

Step-by-step explanation:

Acme bid​ $232,500 for the project and was awarded a contract for that amount.

The cost of​ construction, including​ labor, building​ materials, and other expenses such as equipment rental was​ $198,468.

We know that,

Profit = The amount of money that remains after all expenses of a project have been paid

Profit = $232,500-$198,468

= $34032

Hence, the profit is $34032.