If 20 drops fall in 76 seconds, how long will 8 drops take?

Answer:  c) 56.2

Step-by-step explanation:

Compare the original rate to the the new rate:

[tex]\dfrac{diameter}{mph}:\dfrac{24.5\ in}{53\ mph}=\dfrac{26\ in}{x}\\\\\\24.5x=53(26)\\\\\\x=\dfrac{53(26)}{24.5}\\\\\\x=\large\boxed{56.2\ mph}[/tex]

Answer:

  0.5 units

Step-by-step explanation:

The dilation factor is ...

  (GZ')/(GZ) = (GZ')/(GZ' +Z'Z) = 1.5/(1.5 +7.5) = 1/6

Side WX is 3 units, so side W'X' is (1/6)(3 units) = 1/2 units

W'X' is 0.5 units.

Answer:

It is .5 on edge

Step-by-step explanation:

I took the test

Answer:

[tex]58,464 \: \: miles[/tex]

Step-by-step explanation:

[tex]speed = \frac{distantce}{time} \\ [/tex]

[tex]distance = speed \times time \\ x = 72 \times 812 \\ x = 58,464 \: \: miles[/tex]

hope this helps

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Answer:

numerators:      11  7. 12. 0

                          _  _   _.  _

denominators.  12 512. 10. 78

Step-by-step explanation:

Answer:

11/12 n:11 d:12

7/512 n:7 d:512

12/10 n:12 d:10

0/78 n:0 d:78

Step-by-step explanation:

n=numerator

d=denominator

Answer:

Greater than 9.

Step-by-step explanation:

[tex]6(x/2 + 4)[/tex]

[tex]3x+24[/tex]

Answer:

slope = -3, y intercept = 3

Step-by-step explanation:

The y intercept is where it crosses the y axis

y intercept is 3

The slope is found by taking two points (0,3) and (1,0) and using the slope formula

m = (y2-y1)/(x2-x1)

   = (0-3)/(1-0)

   -3/1

  =-3

Answer:

Step-by-step explanation:

In this scenario, cost depends on mileage. Thus cost is the dependent variable.

As a general rule, if you have the form ...

  a = (some expression involving b)

you will find that "a" is the dependent variable, and "b" is the independent variable.

This problem statement gives you ...

  c = (an expression involving m)

"c" is the dependent variable; "m" is the independent variable.

The independent variable is m and the  dependent variable is c.

The dependent variable is the outcome or result that is affected by the independent variable. The independent variable is the factor that is changed or manipulated in order to observe the effect on the dependent variable.

Given that, the cost to rent a moving truck is a flat fee of $25 plus $0.60 per mile.

The equation c = 25 + 0.6m models the cost, c, in dollars for the number of miles, m, traveled in the truck.

In the given equation c = 25 + 0.6m, c is the dependent variable and the m is the independent variable.

Therefore, the independent variable is m and the  dependent variable is c.

Learn more about the independent variable here:

brainly.com/question/29430246.

#SPJ7

Answer:

1) The normal distribution should be used for the sample mean because the population distribution is known to be normal (answer b).

2) C. H0: mu = 519, H_1: mu not equal to 519, reject if z> 1.96 or z< -1.96.

3) Yes. There is enough evidence to support the claim that the true mean is not 519 ml.

Step-by-step explanation:

1) When the population follows a normal distribution, it is correct to assume a normal distribution for the sample mean.

2) As it is a two-tailed decision rule, we are interested in detecting a significant difference below and above the mean. This is why we use the unequal sign in the alternative hypothesis.

The null hypothesis state that there is not significant difference from 519.

The critical value for a significance level of 5% is z=1.96.

[tex]H_0: \mu=519\\\\H_a:\mu\neq 519[/tex]

3) The claim is that the true mean is not 519 ml.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=519\\\\H_a:\mu\neq 519[/tex]

The significance level is 0.05.

The sample has a size n=16.

The sample mean is M=522.

The standard deviation of the population is known and has a value of σ=6.

We can calculate the standard error as:

[tex]\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{6}{\sqrt{16}}=1.5[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{M-\mu}{\sigma_M}=\dfrac{522-519}{1.5}=\dfrac{3}{1.5}=2[/tex]

This test is a two-tailed test, so the P-value for this test is calculated as:

[tex]\text{P-value}=2\cdot P(z>2)=0.046[/tex]

As the P-value (0.046) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the true mean is not 519 ml.

Answer:

the total number is 104756

Step-by-step explanation:

You need to add 56437 with 48319 which equals 104756

Awnser is 104,756 if you add the 2 numbers

Answer:

The unit circle centered at the origin in the Euclidean plane is defined by the equation:

[tex]x^2+y^2=1\\[/tex]

Given an angle , there is a unique point P on the unit circle at an angle θ from the x-axis, and the x- and y-coordinates of P are:

[tex]x=cos \theta \\y = sin \theta[/tex]

Consequently, from the equation for the unit circle:

[tex]cos^2\theta+sin^2\theta=1[/tex]  

the Pythagorean identity.

Answer:

[tex]-30[/tex]

Step-by-step explanation:

[tex]3\frac{3}{5} \times (-8 \frac{1}{3} )[/tex]

[tex]\frac{18}{5}\times \left(-\frac{25}{3}\right)[/tex]

[tex]\frac{18}{5}\times -\frac{25}{3}[/tex]

[tex]-\frac{18\times \:25}{5\times \:3}[/tex]

[tex]-\frac{450}{15}[/tex]

[tex]=-30[/tex]

Answer:-30

Step-by-step explanation:

3 3/5 x -8 1/3

18/5 x -25/3

-30

Answer:

Log 110 = 2.041

Step-by-step explanation:

Log 110 can be simplified and reduced to

Log 110 = log (10*11)

Log 110 = log10 + log11

But log10 = 1

Log 11= unknown = x

10^x= 11

X= 1.0413926

Log 110 = 1+1.0413926

Log110 = 2.0413926

Log 110 = 2.041

Answer:

B

Step-by-step explanation:

In the attached file

Answer:

1008

Step-by-step explanation:

to find the number of combinations, just multiply everything. you will get 1008 :)

Answer:

Step-by-step explanation:

Generally's rational functions that have vertical asymptotes, even trig functions (which, like the tangent function, are often rational).

If the given function is the ratio of two functions, polynomial or otherwise, the graph of the given function has an asymptote at any x value for which the denominator is zero.  Example:  y = tan x = (sin x) / (cos x) has vertical asysmptotes at π/2, 3π/2, and so on, because the denominator cos x is zero for those angles.

Answer:

.86602 a

.707106 b

.577355 c

Step-by-step explanation:

entered itno calculator

If the area of ΔBAC = 24 in², the area of ΔEDF is 6 in².

If two triangles' angles are congruent and their corresponding sides are proportionate, they are considered similar. To put it another way, similar triangles are the same in shape but not necessarily in size. If ΔPQR and ΔMNO are two similar triangles, then we can write it as ΔPQR ∼ ΔMNO.

The square of the ratio of any pair of their respective sides is equal to the ratio of the areas of two similar triangles.

Since ΔBAC ∼ ΔEDF, we can use the above statement to find the area of ΔEDF. Let the area of ΔEDF be x in². Given that length of EF and BC is 2 in and 4 in respectively.

So, we have to solve this equation,

24/x = 4²/2²

Now, 24/x = 16/4

i.e. 24/x = 4

i.e. 4x = 24

i.e. x = 24/4 = 6

Therefore the area of ΔEDF is 6 in².

Learn more about similar triangles here -

https://brainly.com/question/16819417

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Answer: 1/4+3/8+1/2+5/8+7/8

= 21/8

Hope this helps :)))

Answer:

21/8

Step-by-step explanation:

Answer:

6/x^2

Step-by-step explanation:

6x^-2

6*x^-2

6*(1/x^2)

6/x^2

Answer: this is a guess but 7.69 percent chance that you will pick a blue candy

Step-by-step explanation:

Answer:

Choosing 1 blue and 1 green candy

Step-by-step explanation:

There are no red candies and there is only 1 blue candy.

Answer:

x = -1 and y = 1/2

Step-by-step explanation:

Let u = 1/x, and v = 1/y

Then the pair of equations

-3/x + 4/y = 11

1/x - 2/y = -5

Can be written as

-3u + 4v = 11 .................................(1)

u - 2v = -5......................................(2)

From (2)

u = 2v - 5 .......................................(3)

Substituting (3) into (1)

-3(2v - 5) + 4v = 11

-6v + 15 + 4v = 11

-6v + 4v = 11 - 15

-2v = -4

v = 4/2 = 2

Substituting this value of v in (3)

u = 2v - 5

u = 2(2) - 5

= 4 - 5

= -1

That is

u = -1, v = 2

Since u = 1/x, and v = 1/y, we have

1/x = -1

=> x = -1

And

1/y = 2

=> y = 1/2

Therefore

x = -1 and y = 1/2

Answer: 7.2 frames per bit.

Step-by-step explanation:

Our teempo is 200 bpm.

in one minute we have 60 seconds, so here we have:

200b/60s = 3.33 bits per second.

For movies, the standar is 24 frames per second

now, we can take the quotient between the frames per second and the bits per second and get the frames per bit.

24fps/3.33bps = 7.2 frames per bit.

Answer:

Step-by-step explanation:

Answer:

61.76 ft^2

Step-by-step explanation:

First find the area of the rectangle without the circle

A = l*w = 14*8 =112

Then find the area of the circle

The diameter is 8 so the radius is 8/2 =4

A = pi r^2 = 3.14 * 16 =50.24

The shaded region is the rectangle minus the circle

112-50.24 =61.76 ft^2

Step-by-step explanation:

Take the $50 and quit.

(Each game as outlined by drwls has an expected value of $1.50.

You are playing it 5 times, so the expected return is $7.50.

Your choice was to either accept $50 or play the game)

Answer:

B: It takes too much time

Step-by-step explanation:

Once the points have been calculated and then graphed, the solutions to y = 0 can be found. Look for y = 0 and the solutions are -5 and -1. But that takes a lot of time. There must be an easier way, and fortunately, there is.

Answer:

Probability = 4%

Step-by-step explanation:

For each answer, there are only two possible outcomes. Either it is correct, or it is not. The probability of an answer being correct is independent of other answers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Each question has 5 possible answer:

The person guesses, so [tex]p = \frac{1}{5} = 0.2[/tex]

2 questions:

This means that [tex]n = 2[/tex]

Find the probability that both responses are correct.

This is P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{2,2}.(0.2)^{2}.(0.8)^{0} = 0.04[/tex]

As a percent:

Probability = 4%

The first differences are 8, 14, 20.

The second differences are 6.

Half of 6 is 3, so the first term of the sequence is 3n^2.

If you subtract 3n^2 from the sequence you get 0,-1,-2,-3 which has the nth term of -n + 1.

Therefore your final answer will be 3n^2 - n + 1

Answer:

3, 943,000

Step-by-step explanation:

3, 942,588

The 2 is in the thousands place

We look at the hundreds place

There is a 5, that means we round up

2 becomes a 3

3, 943,000