Last week a gumball machine dispensed 10 pink gumballs and 82 other gumballs. What is the experimental probability that the next gumball dispensed will be pink?

Answer:

-2/45

Step-by-step explanation:

-3/5 - (-5/9)

Subtracting a negative is like adding

-3/5 + 5/9

Then we need a common denominator of 45

-3/5 * 9/9    + 5/9 *5/5

-27/45   + 25/45

-2/45

The PQRS and TSUV are congruent parallelograms, they have the same shape and size. angle PQR is congruent to angle TSU, since they are opposite angles in parallelograms PQRS and TSUV, respectively. so angle TSU in parallelogram TSUV is congruent to angle PQR.

The following are a parallelogram's characteristics:

The two opposing sides are level and parallel.

The opposing angles line up evenly.

The following or adjacent angles are extra.

Every angle will be at a right angle if even one of the other angles is.

PQRS and TSUV are congruent parallelograms, which denotes that their dimensions are the same. The parallelograms' corresponding angles are therefore equal.

Angle PQR is an interior angle in the parallelogram PQRS that is opposite to the adjacent angle PQS, whereas angle UTS is an internal angle in the parallelogram TSUV that is opposite to the adjacent angle TSV.

We can infer that angle PQR and angle UTS are related angles and are hence congruent because PQRS and TSUV are congruent.

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Answer:

A

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

214 degree terminates in the 3rd quadrant.

Sine and cosines are both negative there.

This means that sin(214)<0 and cos(214)<0.

If sine and cosine are both negative and since tangent is the quotient of them, then tangent is positive, or tan(214)>0.

Answer:

±2 sqrt(2) / 3

Step-by-step explanation:

cos theta = adj / hyp

cos theta = 1/3

Using the Pythagorean theorem

a^2 + b^2 = c^2

opp ^2 + adj ^2 = hyp ^2

opp ^2 + 1 ^2 = 3^2

opp ^2 +1 = 9

opp ^2 = 9-1

opp ^2 = 8

Taking the square root of each side

opp = ± sqrt(8)

opp = ±2 sqrt(2)

sin theta = opp / hyp

               = ±2 sqrt(2) / 3

The growth rate of the bacterial colony after 3 hours is 32%, the population of a slowly growing bacterial colony after t hours is given by the function p(t) = 100 + 24t + 2t²

The growth rate of the colony is the rate of change of the population, which is given by the derivative of the function. The derivative of p(t) is p'(t) = 24 + 4t

The growth rate after 3 hours is p'(3) = 24 + 4 * 3 = 32. This means that the population of the colony is increasing by 32% after 3 hours.

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Answer:

\(p = 0.05\)

Step-by-step explanation:

Given

See attachment for the distribution

Required

Find p

To find p, we make use of:

\(\sum P(x) = 1\)

So, we have:

\(0.50 + 0.25 + 0.13 + 0.07 + p = 1\)

\(0.95 + p = 1\)

Make p the subject

\(p = 1 - 0.95\)

\(p = 0.05\)

Answer:

I think it’s 2

Step-by-step explanation:

Option C. No, because the 100 adults were selected without replacement, the selections are dependent.

The binomial probability formula assumes that the trials are independent, meaning that the probability of success or failure for each trial remains the same regardless of the outcomes of previous trials. However, in this case, the 100 adults were selected without replacement, so the probability of being left-handed for each selection depends on the outcomes of previous selections. Therefore, the binomial probability formula cannot be used to find the probability in this situation. Instead, the hypergeometric distribution can be used to account for the dependence between selections.

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Complete question:

It is assumed that approximately 15% of adults in the U.S. are left-handed. Consider the probability that among 100 adults selected in the U.S., there are at least 30 who are left-handed. Given that the adults surveyed were selected without replacement, can the probability be found by using the binomial probability formula with x counting the number who are left-handed? Why or why not?

A. Yes, because the 100 adults represent less than 5% of the U.S. adult population, the trials can be treated as independent.

B. No, because the 30 adults represent more than 5% of the sample size, the trials are dependent.

C. No, because the 100 adults were selected without replacement, the selections are dependent.

D. No, because the probability of being right-handed is greater, x must count the number of right-handed adults.

The slope of the linear equation of the entire data set is -720.98

1. Bring data in to excel sheet

2.Select both x and y variable and insert scatter plot chart. Select any data point in the chart and add trend line. In the format trend line option choose "Linear" and also select "Display an equation on chart" & "Display R-squared value on chart"

To find: What is the slope of the linear equation of the entire data set? Round to nearest hundredth.

Regression equation : y = -720.98x + 15,90,277.32

Slope = -720.98 (Round to nearest hundredth.)

Intercept = 15,90,277.32

So, the slope of the linear equation of the entire data set is -720.98

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Answer:

above sea level

Step-by-step explanation:

Answer:

divide .

Step-by-step explanation:

Answer:

157.92 + d = ?

Step-by-step explanation: Since you don't the amount of what his grandmother gave him you substitute the "number" for a letter. Example A or D.

I hope this helps.

Answer:

22+8n \leq 60

Step-by-step explanation:

they have to add up to at least 60

the cost has to include 22 and the rest would be divided into 8 dollar shirts

so 22 and n amount of shirts have to be less or at most, 60 dollars

Answer:

3 we divid them to gather

Step-by-step explanation:

it is number3 3

Answer:

y = 3/2x - 1/2

all steps explained in pic attached below :)

Answer:The difference between x and y is 1. In other words, x minus y equals 1 and can be written as equation B: · x - y = 1. Now solve equation B for x

Step-by-step explanation:

Answer:

The numbers can be -4, -3, -2, -1, and 1

Answer:

7.20

Step-by-step explanation:

triangle is right triangle so other leg of first is 12

5 x 3/5 = 5, so

do 12 x 3/5 to get 7.20

Answer:o.75 you need to divide

Step-by-step explanation:

Answer:

\(\huge\boxed{\bf\:c = \frac{11}{4}}\)

Step-by-step explanation:

\(4c + 2c = 4c + \frac{11}{2}\)

Cancel 4c on both the sides of the equation.

\(2c = \frac{11}{2}\)

Bring the 2 in the denominator of 11/2 to the left hand side of the equation.

\(2*2c = 11\\4c = 11\)

Bring 4 to the right hand side if the equation.

\(\boxed{\bf\:c = \frac{11}{4}}\)

\(\rule{150pt}{2pt}\)

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

Answer:

3•10^3 is 3,000, so the answer is 9,000

The correlation coefficient ρ for X and Y is ρ = -0.6675 in the given function.

The correlation coefficient is a statistical concept that aids in establishing a relationship between expected and actual values obtained through statistical experimentation. The calculated correlation coefficient's value explains why the difference between the predicted and actual values is so exact.

Correlation Coefficient value is always in the range of -1 to +1. A similar and identical relationship exists between the two variables if the correlation coefficient value is positive. Otherwise, it reveals how differently the two variables behave.

Pearson's correlation coefficient is calculated by taking the covariance of two variables and dividing it by the sum of their standard deviations. is typically used to represent it (rho).

The correlation coefficient is computed as,

\($ \rho & =\frac{{Cov}(X, Y)}{\sqrt{V(X)} \times \sqrt{V(Y)}}\)

\($=\frac{-0.0267}{\sqrt{0.04} \times \sqrt{0.04}}\)

= -0.6675

Thus, the correlation coefficient ρ for X and Y is ρ = -0.6675.

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The lower bound for a 95% confidence interval for the proportion of defective iphones from this assembly line is 0.0524.

With the probability of a success of π , and a confidence level of 1-α, we have the following confidence interval of proportions:

π± z\(\sqrt{\frac{\pi (1-\pi }{n} }\)

z is the z-score having a p-value of 1-α/2.

we have η = 605 and ρ = 0.07

So, α = 0.1 and z is the value of Z that has a pvalue of:

1 - 0.1/2 = 0.95

Z= 1.645

Now the lower limit:

π - z\(\sqrt{\frac{\pi (1-\pi }{n} }\)

= 0.07-1.645\(\sqrt\frac{(0.07*0.93)}{605}\)

= 0.07 - 0.01706

= 0.0524

The lower bound for a 95% confidence interval for the proportion of defective Galaxy phones from this assembly line is 0.0524

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The metric system is defined as the decimal system of units based on the meters, kilograms, and second as the units of length, mass, and time respectively. The imperial system is defined as the measurement system used in countries like the UK, Liberia, Myanmar, etc. that uses units like an inch, pound, ton etc.

The Metric and Imperial systems are both systems of measurement. That is, they are not just one unit of measure, but are correlated systems of many units of measure – measuring length and area, weight and mass, volume, force, temperature etc.

The imperial system of measurement is defined as a system that originated in Britain and came to formal use in the early 19th century with the Weights and Measures Act of 1824 and 1878. It uses some of the commonly used units there like an inch, ton, pound, gallon, pint, etc.

Most countries use the metric system which uses the measuring units such as meters and grams, and adds prefixes like kilo, milli, and centi to count orders of magnitude.

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Answer:

Step-by-step explanation:

Simplify 14(1−23)2+13

Remember PEMDAS

14 * (1 - 23) * 2 + 13 =

14 * (-44) * 2 + 13 =

-308 * 2 + 13 =

-616 + 13 =

-603