There are 3 white counters and 1 black counters in a bag I take one of the counters at random what is the probability??

Answer:

equation is pv=nRT

p, n, R are constants

so, v is directly proportional to Temperature

v1/v2=T1/T2

250/v2=300/420

v2=350

Answer:

Option (3)

Step-by-step explanation:

Volume of the flavored ice that can be filled in the cone = Volume of the ice cone - volume of the spherical piece of bubble gum

Volume of a cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]

where r = radius of the cone

h = height of the cone

Volume of the ice cone = [tex]\frac{1}{3}\pi (3)^2(5)[/tex]

Volume of a sphere = [tex]\frac{4}{3}\pi r^{3}[/tex] [r = radius of the bubble gum]

                                 = [tex]\frac{4}{3}\pi (\frac{1.1}{2}) ^{3}[/tex]

                                 = [tex]\frac{4}{3}\pi (0.55) ^{3}[/tex]

Volume of the flavored ice filled in the cone = [tex]\frac{1}{3}\pi (3)^2(5)-\frac{4}{3}\pi (0.55) ^{3}[/tex]

Therefore, Option (3) will be the answer.

Complete Question

The complete question is shown on the  first uploaded image

Answer:

The standard deviation is  [tex]\sigma =1.5811[/tex]

Step-by-step explanation:

  The  sample  size is  n  =  18

Generally the probability of getting a four in the toss of the fair die is mathematically represented as

          [tex]p = \frac{1}{6 }[/tex]

While  the probability of not getting a four is  

          [tex]q = 1 - p[/tex]

          [tex]q = 1 - \frac{1}{6}[/tex]

           [tex]q = \frac{5}{6}[/tex]

Now the standard deviation for the binomial random number is mathematically represented as

      [tex]\sigma = \sqrt{n * pq }[/tex]

substituting  values  

     [tex]\sigma = \sqrt{18 * \frac{1}{6}* \frac{5}{6} }[/tex]

      [tex]\sigma =1.5811[/tex]

Answer:

10.69% probability that all 12 flights were on time

Step-by-step explanation:

For each flight, there are only two possible outcomes. Either it was on time, or it was not. The probability of a flight being on time is independent of any other flight. 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.

83% of recent flights have arrived on time.

This means that [tex]p = 0.83[/tex]

A sample of 12 flights is studied.

This means that [tex]n = 12[/tex]

Calculate the probability that all 12 flights were on time

This is P(X = 12).

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

[tex]P(X = 12) = C_{12,12}.(0.83)^{12}.(0.17)^{0} = 0.1069[/tex]

10.69% probability that all 12 flights were on time

Answer:

a) [tex]z =\frac{104-106}{\sqrt{\frac{8.4^2}{80} +\frac{7.6^2}{70}}}= -1.53[/tex]  

b) [tex]p_v =2*P(z<-1.53)=0.126[/tex]

c) Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance

Step-by-step explanation:

Information given

[tex]\bar X_{1}= 104[/tex] represent the mean for 1

[tex]\bar X_{2}= 106[/tex] represent the mean for 2

[tex]\sigma_{1}= 8.4[/tex] represent the population standard deviation for 1

[tex]\sigma_{2}= 7.6[/tex] represent the population standard deviation for 2

[tex]n_{1}=80[/tex] sample size for the group 1

[tex]n_{2}=70[/tex] sample size for the group 2

z would represent the statistic

Hypothesis to test

We want to check if the two means for this case are equal or not, the system of hypothesis would be:

H0:[tex]\mu_{1}=\mu_{2}[/tex]

H1:[tex]\mu_{1} \neq \mu_{2}[/tex]

The statistic would be given by:

[tex]z =\frac{\bar X_1-\bar X_2}{\sqrt{\frac{\sigma^2_1^2}{n_1} +\frac{\sigma^2_2^2}{n_2}}}= [/tex](1)

Part a

Replacing we got:

[tex]z =\frac{104-106}{\sqrt{\frac{8.4^2}{80} +\frac{7.6^2}{70}}}= -1.53[/tex]

Part b

The p value would be given by this probability:

[tex]p_v =2*P(z<-1.53)=0.126[/tex]

Part c

Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance

Answer:

1341.75

Step-by-step explanation:

I did the math :)

The guy above me is correct

Answer:

we dont see aa figure

Step-by-step explanation:

Answer:

Step-by-step explanation:

The diagonals of the given parallelogram are QS and RT. We would first determine if its diagonals are congruent.

QS = √(1 - 5)² + (3 - 3)² = 16

RT = √(3 - 3)² + (4 - 2)² = 4

Since QS ≠ RT, it means that they are not congruent and this means that the parallelogram is not a rectangle.

Let us check if the diagonals are perpendicular.

Slope of QS = (3 - 3)/(5 - 1) = 0/4

Slope of RT = (2 - 4)/(3 - 3) = - 2/0

The slopes are not opposite reciprocals. It means that the diagonals are not perpendicular. Therefore, the correct option is

D. QRST is none of these because its diagonals are neither congruent nor perpendicular.

Answer: Anything above 2

Step-by-step explanation:

Answer: 3,4,5,6,7,8,9 (Any of these digits work)

Step-by-step explanation:

We want to find a digit that makes the number greater than 3260.2. There are many digits that can fit in there.

3318.7≥3260.2

Here, we plugged in a 3. that makes this sentence true because 3318.7 is greater than or equal to 3260.2. Since 3 works, we know that any digit greater than 3 would fit.

Answer:

D) 86 – 18x – 8 = 12x + 18

X = 2

Step-by-step explanation:

86 – 2 (9x + 4) = 12x + 18

This question has a straight forward answer...

It's just to open up the bracket and ensure that the negative sign before the bracket multiply the values in the bracket exactly.

So opening up the bracket gives us this as the answer

86 - 18x -8 = 12x +18

86-18-8 = 12x+ 18x

60 = 30x

X = 2

Answer: t= 13.4

Step-by-step explanation:

The given equation is [tex]2P_0=P_0(1.053)^t[/tex]

To solve this equation for 't', we first divide both sides by [tex]P_0[/tex], we get

[tex]2=(1.053)^t[/tex]

Taking log on both the sides, we get

[tex]\log 2= \log(1.053)^t[/tex]

Since [tex]\log a^b=b\log a[/tex]

Then,

[tex]\log 2= t\log1.053\\\\\Rightarrow0.30103=t(0.02243)\\\\\Rightarrow t=\dfrac{0.30103}{0.02243}\\\\\Rightarrow t=13.4208649131\approx13.4[/tex]

Hence, the value of t is 13.4.

Answer:

First choice

Step-by-step explanation:

Start by arranging the exponents of 10 in ascending order.

9.4 * 10^-8, 9.25 * 10^-6, 2.5 * 10^3, 7 * 10^3

The exponents are in ascending order, -8, -6, 3, 3

Since the last two exponents are equal, we must compare the numbers that multiply the powers of 10. They are 2.5 and 7. Since 2.5 < 7, ascending order is 2.5, 7. That means the line above is in ascending order.

Answer: First choice

Answer:

Percent: 20%

Fraction: 1/5

Decimal: 0.20

Step-by-step explanation:

8:40*100 =

( 8*100):40 =

800:40 = 20%

Percent to fraction:

20%=20/100

= 0.2

=0.2×10/10

=2/10

=1/5

Percent to decimal:

20/100 = 0.20

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The rectangle has an area of 60 square feet. Find its dimensions (in ft) if the length of the rectangle is 4 ft more than its widh.

smaller value ___________________ ft

larger value ____________________ ft

Answer:

Smaller value = 6 ft

Larger value = 10 ft

Step-by-step explanation:

Recall that the area of a rectangle is given by

[tex]Area = W \times L[/tex]

Where W is the width and L is the length of the rectangle.

It is given that the rectangle has an area of 60 square feet.

[tex]Area = 60 \: ft^2 \\\\60 = W \times L \\\\[/tex]

It is also given that the length of the rectangle is 4 ft more than its width

[tex]L = W + 4[/tex]

Substitute [tex]L = W + 4[/tex] into the above equation

[tex]60 = W \times (W + 4) \\\\60 = W^2 + 4W \\\\W^2 + 4W - 60 = 0 \\\\[/tex]

So we are left with a quadratic equation.

We may solve the quadratic equation using the factorization method  

[tex]W^2 + 10W - 6W - 60 \\\\W(W + 10) – 6(W + 10) \\\\(W + 10) (W - 6) = 0 \\\\[/tex]

So,

[tex](W + 10) = 0 \\\\W = -10 \\\\[/tex]

Since width cannot be negative, discard the negative value of W

[tex](W - 6) = 0 \\\\W = 6 \: ft \\\\[/tex]

The length of the rectangle is  

[tex]L = W + 4 \\\\L = 6 + 4 \\\\L = 10 \: ft \\\\[/tex]

Therefore, the dimensions of the rectangle are

Smaller value = 6 ft

Larger value = 10 ft

Verification:

[tex]Area = W \times L \\\\Area = 6 \times 10 \\\\Area = 60 \: ft^2 \\\\[/tex]

Hence verified.

Answer:

(a)The median for the longboards was 13.5 days, and the median for the shortboards was 13 days, showing that those with longboards typically surfed more days in this month.

(b)The interquartile range for the longboards was 10 days, and the interquartile range for the shortboards was 10.5 days, showing more variation in the days surfed this month for the shortboards.

Step-by-step explanation:

Longboard:

2, 7, 16, 13, 10, 18, 7, 8, 15, 15, 19, 17, 3, 10, 11, 16, 24 5, 20, 6, 9, 11, 8, 21, 22, 18, 14, 12, 16, 24

Sorting in ascending order, we have:

[tex]2, 3, 5, 6, 7, 7, \boxed{8, 8}, 9, 10, 10, 11, 11, 12, \boxed{13, 14,} 15,15, 16, 16, 16, 17, \boxed{18, 18}, 19, 20, 21, 22, 24 , 24[/tex]

Median [tex]=\dfrac{13+14}{2}=13.5[/tex]

[tex]Q_1=\dfrac{8+8}{2}=8 \\Q_3=\dfrac{18+18}{2}=18\\$Interquartile range, Q_3-Q_1=18-8=10[/tex]

Shortboard

17, 16, 7, 5, 13, 8, 7, 6, 15, 8, 8, 16, 10, 23, 24, 10, 20, 16, 16, 24, 23, 14, 6, 12, 10, 7, 12, 25, 13, 22

Sorting in ascending order, we have:

[tex]5, 6, 6, 7, 7, 7, \boxed{8, 8,} 8, 10, 10, 10, 12, 12, \boxed{13, 13} 14, 15, 16, 16, 16, 16, \boxed{17, 20,} 22, 23, 23, 24, 24, 25[/tex]

Median [tex]=\dfrac{13+13}{2}=13[/tex]

[tex]Q_1=\dfrac{8+8}{2}=8 \\Q_3=\dfrac{17+20}{2}=18.5\\$Interquartile range, Q_3-Q_1=18.5-8=10.5[/tex]

Therefore:

(a)The median for the longboards was 13.5 days, and the median for the shortboards was 13 days, showing that those with longboards typically surfed more days in this month.

(b)The interquartile range for the longboards was 10 days, and the interquartile range for the shortboards was 10.5 days, showing more variation in the days surfed this month for the shortboards.

Answer:

a. t>w

Step-by-step explanation:

Sin t= 0.29

t = sin^-1(0.29)

t= 16.86°

Sin w= 0.43

W = sin^-1(0.43)

W= 25.47°

Angles in the second quadrant are positive in sine and they are generally determined by subtracting the initial value from 180°

For t= 180°-16.86°

t = 163.14°

For w = 180°-25.47°

W= 154.53°

163.14°>154.53°

t>w

Answer:

1. To find m∠1, we can notice that ∠1 and 46° are complementary, meaning they add up to 90° This means that m∠1 = 90 - 46 = 44°. We can do the same for ∠4. In this case, ∠4 = 90 - 23 = 67°.

2. To find m∠1, we can use the exterior angle formula which means that the measure of an exterior angle is equal to the sum of both of its remote interior angles. This means that ∠1 = 52 + 62 = 114°. To find ∠2 we can do 180 - 52 - 62 = 66° because the sum of all angles in a triangle is 180°. Since ∠2 and ∠3 are vertical angles, ∠3 = ∠2 = 66°.

Answer:

The 95% confidence interval for the hemoglobin reading for all the patients in the hospital is (72, 112).

Step-by-step explanation:

The (1 - α)% confidence interval for the population mean, when the population standard deviation is not provided is:

[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot \frac{s}{\sqrt{n}}[/tex]

The data provided is:

S = {112, 120, 98, 55, 71, 35, 99, 142, 64, 150, 150, 55, 100, 132, 20, 70, 93}

Compute the sample mean and sample standard deviation as follows:

[tex]\bar x=\frac{1}{n}\sum X=\frac{1}{17}\times[112+120+98+...+93]=92.1176\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{17-1}\times 25041.7647}=39.56[/tex]

The critical value of t for 95% confidence level and n - 1 = 16 degrees of freedom is:

[tex]t_{\alpha/2, (n-1)}=t_{0.05/2, 16}=2.120[/tex]

*Use a t-table.

Compute the 95% confidence interval for the hemoglobin reading for all the patients in the hospital as follows:

[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot \frac{s}{\sqrt{n}}[/tex]

     [tex]=92.1176\pm 2.120\times\frac{39.56}{\sqrt{17}}\\\\=92.1176\pm 20.3408\\\\=(71.7768, 112.4584)\\\\\approx (72, 112)[/tex]

Thus, the 95% confidence interval for the hemoglobin reading for all the patients in the hospital is (72, 112).

Answer:

option 1

Step-by-step explanation:

[tex]r=\sqrt{(5\sqrt{2})^{2}+(-5\sqrt{2})^{2} } \\\\=\sqrt{25*2+25*2}\\\\ =\sqrt{50+50}\\\\=\sqrt{100}\\\\=10[/tex]

[tex]x=tan^{-1}(\frac{-5\sqrt{2}}{5\sqrt{2}})\\\\x=tan^{-1} (-1)\\x=\frac{7\pi}{4}[/tex]

[tex]re^{ix}=10e^{i\frac{7\pi}{4}}[/tex]

If [tex]f(x)=\mid x\mid[/tex] and [tex]g(x)=x+2[/tex] then [tex]f(g(x))=\mid x+2\mid[/tex].

The domain is [tex]x\in(-\infty, +\infty)=\mathbb{R}[/tex].

The range is [tex]y\in[2,+\infty)[/tex].

Hope this helps.

Answer:

Step-by-step explanation:

with range there is a horizontal line under the > sign, just as a side note:D

BRANLIEST?

Step-by-step explanation:

a) The diameter of the wheel is the distance between the minimum and maximum.  In other words, it's double the amplitude.

d = 2 × 14 = 28.

b) The period of the wave is:

720 = 2π / T

T = π/360

So the time for 3 revolution is:

3T = π/120

3T = 0.026 seconds

c) The minimum here is when cosine = 1.

h(t) = -14(1) + 14

h(t) = 0

This makes sense, since the minimum height is when the nail is at the bottom of the wheel, or at the ground.

Answer:

150 yards

Step-by-step explanation:

Since 1 yard = 3 feet,

You can divide 450 by 3 to express it in yards.

450 ÷ 3 = 150

So, the pyramid is 150 yards high.

Answer:

150 yards

Step-by-step explanation:

Answer:

P(Math or English) = 0.89

Step-by-step explanation: This solution will only be applicable if finding the probability that a randomly selected student is taking a math class or an English class.

Lets study the meaning of or , and on probability. The use of the word or means that you are calculating the probability

that either event A or event B happened

Both events do not have to happen

The use of the word and, means that both event A and B have to happened

The addition rules are: # P(A or B) = P(A) + P(B) ⇒ mutually exclusive (events cannot happen

at the same time)

P(A or B) = P(A) + P(B) - P(A and B) ⇒ non-mutually exclusive (if they

have at least one outcome in common)

The union is written as A ∪ B or “A or B”.

The Both is written as A ∩ B or “A and B”

Lets solve the question

The probability of taking Math class 69%

The probability of taking English class 70%

The probability of taking both classes is 50%

P(Math) = 69% = 0.69

P(English) = 70% = 0.70

P(Math and English) = 50% = 0.50

To find P(Math or English) use the rule of non-mutually exclusive

P(A or B) = P(A) + P(B) - P(A and B)

P(Math or English) = P(Math) + P(English) - P(Math and English)

Lets substitute the values of P(Math) , P(English) , P(Math and English)

in the rule P(Math or English) = 0.69 + 0.70 - 0.50 = 0.89

P(Math or English) = 0.89

P(Math or English) = 0.89

This solution will only be applicable if we are to find the probability that a randomly selected student is taking a math class or an English class.

Answer:

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

Step-by-step explanation:

Let the number be x

Difference of a number & 5 : x-5

1/3 time the difference of a number & 5: 1/3 (x-5)

Equation:

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

Solution:

[tex]x-5=\frac{-2}{3}*\frac{3}{1}\\\\x-5=-2\\\\x=-2+5\\x=3[/tex]

Recall that

[tex]e^x=\displaystyle\sum_{n=0}^\infty\frac{x^n}{n!}[/tex]

Then

[tex]e^{x^5}=\displaystyle\sum_{n=0}^\infty\frac{x^{5n}}{n!}[/tex]

and

[tex]x^7e^{x^5}=\displaystyle\sum_{n=0}^\infty\frac{x^{5n+7}}{n!}[/tex]

Answer:

A. We are 92% confident that the population mean height of college football players is between 63.2 and 65.9 inches.

Step-by-step explanation:

Confidence interval:

x% confidence

Of a sample

Between a and b.

Interpretation: We are x% sure(or there is a x% probability/chance) that the population mean is between a and b.

In this question:

92% confidence interval for the average height of football players is (63.2, 65.9).

Interpretation: We are 92% sure that the true average height of all college football players, that is, the population mean, is in this interval.

The correct answer is:

A. We are 92% confident that the population mean height of college football players is between 63.2 and 65.9 inches.

Answer:

8/25

Step-by-step explanation:

The probability of picking a number less than 9 is 4/5.

The probability of picking an even number is 2/5.

[tex]4/5 \times 2/5[/tex]

[tex]=8/25[/tex]

Answer: 441

Step-by-step explanation:

2 men from 7 will be the members of committee that makes 7*6/2=21 outputs

2 women from 7 will be the members of committee that makes 7*6/2=21 outputs as well.

Total number of outputs is 21*21=441

The number of ways different committees are possible that consist of 2 women and 2 men is 441.

Two terms joined by a plus or minus sign make up a mathematical expression are termed as binomial.

The positive integers that appear as coefficients in the binomial theorem are known as binomial coefficients in mathematics. A binomial coefficient is typically written and indexed by the two integers n ≥ k ≥ 0.

There are the binomial coefficient "7 choose 2", i.e.  [tex]\frac{7!}{2!5!}=21[/tex]  ways to choose 2 people from a set of 7 people.

So, there are 21 ways to choose 2 men and 21 ways to choose 2 women. This means that there is [tex]21^2 = 441[/tex]  ways to choose both 2 men and 2 women.

Learn more about application of binomial coefficient from given link.

https://brainly.com/question/14216809

#SPJ2

Answer:

b) We are 90% confident that the mean salary of all CEOs in the electronics industry falls in the interval $139,048 to $154,144.

Step-by-step explanation:

Confidence interval:

Confidence level of x%

We build from a sample.

Between a and b.

Intepretation: We are x% sure that the population mean is between a and b.

In this question:

90%

45 CEO's

Between ($139,048, $154,144).

So

We are 90% sure that the mean salary of all CEO's falls within this interval.

The correct answer is:

b) We are 90% confident that the mean salary of all CEOs in the electronics industry falls in the interval $139,048 to $154,144.

Answer:

Jill bought 16 books and Sam bought 9 books

Step-by-step explanation:

Let the number of books that Jill bought be j.

Let the number of books that Sam bought be s.

Jill bought 7 more books than Sam:

j = 7 + s

They bought 25 books altogether:

j + s = 25

Put j = 7 + s into the second equation:

7 + s + s = 25

7 + 2s = 25

2s = 25 - 7 = 18

s = 18/2 = 9 books

Therefore:

j = 7 + s = 7 + 9

s = 16 books

Jill bought 16 books and Sam bought 9 books.