Which of the following statistics would give you the estimate of the typical examination score of a class of 35 students? a correlation coefficient the variance the standard deviation the mean

Answer:

5/11 or 45 percent, since there are 5 blue cards

The probability that Isabella will take a blue card is 5/11.

Probability is the chance that something will happen, or how likely it is that an event will occur.

P(E) = total number of favorable outcomes/ total number of outcomes

Where,

P(E) is the probability of any event.

According to the given question

Five blue cards, two green cards and four red cards.

⇒ total number of outcomes =  5+ 2 + 4 = 11

For finding the probability of blue card

Total number of blue cards is 5.

⇒ total number of favorable outcomes = 5

Therefore,

The probability of getting blue card

= number of favorable outcomes/ total number of outcome

= \(\frac{5}{11}\)

Hence, the probability that Isabella will take a blue card is 5/11.

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Answer:

make it the same except the letter b

Step-by-step explanation:

Answer:

m - 5n - 6

Step-by-step explanation:

See the attached picture

The surface area of the cylinder is approximately 50.2 square cm

The formula for the surface area of a cylinder is:

Surface area = 2πr^2 + 2πrh

where r is the radius of the cylinder and h is the height of the cylinder.

In this case, the radius is 2 cm and the height is also 2 cm.

Substituting these values into the formula, we get:

Surface area = 2π(2)^2 + 2π(2)(2)

Surface area = 8π + 8π

Surface area = 16π

So, we have

Surface area ≈ 16(3.14)

Surface area ≈ 50.2

Therefore, the surface area of the cylinder is approximately 50.2 square cm when rounded to the nearest tenth.

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Answer:

Step-by-step explanation:

six rational number from -5 to 2

-4, - 3 , -2 , -1 , 0 , 1

Therefore , the solution of the given problem of equation comes out to be  9x^3 - 8x^2.

A mathematical equation is a formula that uses the equal sign (=) to connect two statements and express equality. A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the components 3x + 5 and 14 in the equation 3x + 5 = 14 are separated by an equal sign. The equal sign is a crucial part of mathematical formulas, especially equations. Algebra is frequently utilized in equations. Algebra is used in mathematics when it is difficult to determine a precise quantity.

Here,

Polynomial function total

Polynomial functions are those that have a leading degree of three or higher. given the total;

(7x^3-4x^2)+(2x^3-4x^2)

Expand => (7x 3-4 times) + (2x 3-4 times)

= > 7x^3-4x^2 + 2x^3-4x^2

assemble similar terms

=> 7x^3 + 2x^3 - 4x^2 -4x^2

=> 9x^3 - 8x^2

Therefore , the solution of the given problem of equation comes out to be 9x^3 - 8x^2.

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Answer:

y = (-3/4)x -2

or: y = -0.75x -2

Step-by-step explanation:

First, find the slope of the line that it parallel to. Using equation

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

slope of line that passes through points (4, 0) and (0, 3)

= (3 - 0) /( 0-4)

= -3/4

Since the lines are parallel, both of them have the same slope, which is -3/4.

The point (0, -2) is actually the point of y -intercept (c) of the new line, so we can simply use the slope-intercept form to find the equation of line.

y = mx + c

y = (-3/4)x + (-2)

y = (-3/4)x -2

Answer:

\( \boxed{\sf f(-3) = 9} \)

Given:

\( \sf f(x) = {x}^{2} - 2x\)

To Find:

Value of f(x) when x = -3

Step-by-step explanation:

\( \sf \implies f(x) = {x}^{2} - 2x \\ \\ \sf \implies f( - 3) = {( - 3)}^{2} - 2 ( - 3) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 - ( - 6) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3 + 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =9\)

\(2v+8v-5v\)

Combine Like Terms:

\((2v+8v-5v)\)

\(\fbox{5v}\)

Answer: The difference between sum of first 20032003 even numbers and sum of first 20032003 odd numbers is “-20032003”.

Step-by-step explanation:

The sum of first 20032003 even numbers:

\(Summation E=E_{1}+E_{2}+E_{3}+ . . . . . +E_{20032003}\)

The sum of first 20032003 odd numbers:

\(Summation O=O_{1}+O_{2}+O_{3}+ . . . . . +O_{20032003}\)

Difference between the sum of first 20032003 even numbers and the sum of first 20032003 odd numbers:

\(Difference=Summation E - Summation O=(E_{1}+E_{2}+E_{3}+ . . . . . . . +E_{20032003})-(O_{1}+O_{2}+O_{3}+ . . . . . . . +O_{20032003})\)

\(Difference=(E_{1}-O_{1})+(E_{2}-O_{2})+(E_{3}-O_{3})+ . . . . . . . +(E_{20032003}-O_{20032003})\)

Even numbers start as 0, 2, 4, 6…. While odd numbers start as 1, 3, 5, 7…..

(assuming that we are taking non-negative even/odd numbers into account only)

As we know, every nth even number is one behind their respective odd number (i.e. 0 lags 1, 2 lags 3, 4 lags 5 and so on)

Thus, our equation of difference becomes,

\(Difference=(-1)_{1}+(-1)_{2}+(-1)_{3}+ . . . . . . . +(-1)_{20032003} =(-1)*20032003=-20032003\)

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3 because you shouldn't give away your cookies ◔◡◔.

Answer:

-1 cookie (true answer)

Step-by-step explanation:

I would have 3 cookies still cause I would never give any away.

Have a good day!

Answer:

$54.01

Step-by-step explanation:

All you have to do is $300.00-$245.99 .

Answer: isolate the variable

Step-by-step explanation:

Answer:

(4,6) lies in first quadrants

(-3,2) lies in second quadrants

Step-by-step explanation:

(4,6) lies in first quadrants because in first quadrants both x-axis and Y-axis are positive

(-3,2) lies in second quadrants because in second quadrants x-axis is negative and Y-axis is positive

Answer:

  (-6)³z²  or  -6³z²

Step-by-step explanation:

An exponent is used to signify the number of times a factor appears in a product.

__

In the expression (-6)·(-6)·(-6)·z·z, the factor (-6) appears 3 times, and the factor z appears 2 times. Written with exponents, this could be ...

  (-6)³z²

_____

Additional comment

We can simplify this by realizing the product of the constant factors will be negative. (There is an odd number of minus signs.) The expression can also be written as ...

  -6³z²

The version with (-6) being cubed is a more direct translation to the use of exponents.

Probability of receiving at least two queens when thirteen cards are dealt from a deck of 52 cards is equal to 0.0972.

As given in the question,

Total number of cards in a deck = 52

Number of cards dealt from a pack of 52 cards = 13

Condition for dealt cards is at least 2 should be queen:

At least 2 queen mean 2 or more than 2.

Out of 4 queen

One can choose:

2 queen + 11 other cards

3 queen  + 10 other cards

4 queen. + 9 other cards

Out of 52 : 4 cards are queen and 48 are others

Probability of choosing at least 2 queens

= (Favourable outcomes) / ( total number of outcomes)

= [ ( ⁴C₂ × ⁴⁸C₁₁) +  ( ⁴C₃ × ⁴⁸C₁₀) +  ( ⁴C₄ × ⁴⁸C₉) ] / ( ⁵²C₁₃ )

= ( 61732770776) / 635013559600

= 0.0972

Therefore, probability of receiving at least two queens when thirteen cards are dealt from a deck of 52 cards is equal to 0.0972.

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Answer:

x = 5 and -5

Step-by-step explanation:

5\(x^{2}\) = 125

5\((5^{2})\)

5(25)

125

5\((-5)^{2}\)

5(25)

125

Same answer when x = 5 an d when x = -5

Answer:

Veronica left a tip of  $6.87

Step-by-step explanation:

3.50×2= 7

6.95×2= 13.9

7.95+12.95+15.95+7+13.9 = 41.8

0.25×41.8= 10.45

41.8-10.45= 31.35

0.0925×31.35 = 3

31.35+3 = 34.35

0.20×34.35 = 6.87

The sample size is 141. SO the option B is correct.

Determine the population size. Decide on a confidence level and margin of error. Calculate the sample size using an online calculator or a statistical formula. Consider any special considerations, like a non-random population or a small population size, and adjust the sample size accordingly.

standard deviation = σ = 5

margin of error = E = 0.825

At 95% confidence level the z is ,

α = 1 - 95%

α = 1 - 0.95

α = 0.05

α/2 = 0.05/2

α/2 = 0.025

\(Z_{\alpha/2}\) = Z₀.₀₂₅

\(Z_{\alpha/2}\) = 1.96

Sample size = n = ((\(Z_{\alpha/2}\) × σ)/E)²

n = ((1.96 × 5)/0.825)²

n = (9.8/0.825)²

n = (11.88)²

n = 141

Sample size = 141

So the option B is correct.

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Answer:

A. 183 meters

Step-by-step explanation:

Building A and building B are 500 meters apart. There is no road between them, so to drive from building A to building B, it is necessary to first drive to building C and then to building B. About how much farther is it to drive than to walk directly from building A to building B? Round to the nearest whole number. A) 183 meters B) 250 meters C) 366 meters D) 683 meters

Find distance BC

Cos (60°)=BC / AB (Adjacent divided by the hypotenuse)

Cos (60°)=1/2

BC=a

AB=500

Cos (60°)=BC / AB

1/2=a/500

1/2 * 500=a

250=a

a=250m

Find distance AC

Sin(60°)=AC/AB (opposite side divided by hypotenuse)

Sin(60°)=√3/2

AC=b

AB=500

Sin(60°)=AC/AB

√3/2=b/500

√3/2 * 500=b

250√3=b

b=433m

Distance AC and BC=AC+BC

433m+250m=683m

Subtract the distance AB from AC+BC

= 683m - 500m

=183m

Answer is A. 183 meters

Answer:

A. 183 meters

Step-by-step explanation:

sin(60) = x/500

= 433

tan(60) = 433/x

= 250

This is the driving distance. 433+250= 683. Directly walking (using hypotenuse distance) is 500.

683-500=183!

Answer:

92

Step-by-step explanation:

plug -4 into the function

3(-4)²-10(-4)+4

48+40+4

92

Answer:

92

Step-by-step explanation:

f(-4)=3(-4)^2-10(-4)+4

=3(16)-10(-4)+4

=48+40+4

=92

The expected value for count for each of the possible outcomes has been calculated and attached in the table attached below.

In statistics, a sampling distribution is a probability distribution that describes the frequencies of all possible outcomes of a random sample taken from a population. It is the distribution of the sample statistics (such as the mean or standard deviation) calculated from multiple random samples of the same size taken from the population.

Sampling distributions are important because they allow us to make inferences about the population based on the information obtained from the sample. They also help us to understand the variability in sample statistics due to chance.

To determine if births are equally likely across the days of the week, we need to compare the observed counts of births for each day to the expected counts if births were equally likely across all days.

The expected count for each day can be calculated by dividing the total number of births (150) by the number of days in a week (7):

Expected count = Total amount of births / Number of days in a week = 150/7 ≈ 21.43

To calculate the expected count for each day, we simply multiply the expected count by the number of days in the week:

Expected count for Sunday = 21.43 × 1 = 21.43

Expected count for Monday = 21.43 × 1 = 21.43

Expected count for Tuesday = 21.43 × 1 = 21.43

Expected count for Wednesday = 21.43 × 1 = 21.43

Expected count for Thursday = 21.43 × 1 = 21.43

Expected count for Friday = 21.43 × 1 = 21.43

Expected count for Saturday = 21.43 × 1 = 21.43

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The extraneous roots of a given rational function occurs when we solve for a rational equations -, when we will multiply this results then the equation to clear the fractions and cancelling a 0/0 term , we will get the extraneous root.

Extraneous means external , these roots are there because when we solve an equation we cannot always get  an equivalent equations when we simplify it.

Extraneous roots are used while solving a  log equations. Extraneous roots occurs every time we apply functions to both sides of an equation that are not invertible. for example , | 2 x − 1 | = ( 2 x − 1) 2 , the two of this equations are totally same.

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Answer:

Step-by-step explanation:

The acute angle is 40.40 degrees

The cosine of the angle is given as:

cos(x) = 0.7620

Take the arc cos of both sides

\(x = \cos^{-1}(0.7620)\)

Evaluate the arc cos

x = 40.359

Approximate

x = 40.40

Hence, the acute angle is 40.40 degrees

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The probability of the poorly thrown dart hitting the target is 0.007.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

The diameter of the dartboard = 24 inches. The diameter of the target is 2 inches, the radius of the target, r = 1 inch.Radius of the dartboard, R = 12 inches.

From the above details, Area of the dartboard = π R² = π (12)² = 144π sq.inches. Area of the bull's eye = π r² = π (1)² = π sq.inches. Probability of hitting the bull's eye = Area of the bull's eye/Area of the dartboard= π/144π= 1/144= 0.0069444444Rounded off to three significant digits, the probability of hitting the target is 0.00695 or 0.007 (rounded up).Hence, the probability of the poorly thrown dart hitting the target is 0.007.

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Reject the claim by accepting H0.

What is null hypothesis and alternate hypothesis?

The null hypothesis and the alternative hypothesis are types of conjectures used in statistical tests, which are formal methods of reaching conclusions or making decisions on the basis of data.

Explanation for the answer:

Mean of observations, x bar \(=\frac{(23+19+23+23)}{4}=22\)

Then for each number: subtract the Mean and square the result:

\(1+9+1+1=12\)

Sample Variance:

       \(\frac{12}{3} = 4\)

Sample Standard Deviation:

\(\sqrt{4} = 2\)\((\sqrt{4})^{0.5} = 1.1412\)

Standard error,

  \(se = (\frac{s}{n} )^{0.5}\)

\(se = (\frac{1.1412}{4} )^{0.5}\)

\(se = 0.5341\)

Hypothesis,

\(H_0: Xbar \geq 21, against\)

\(H_1: Xbar < 21\\\)  (Lower tailed test)        

t-statistic:  

\(t-statistic=\frac{xbar-Xbar}{se}=\frac{22-21}{0.5341}=1.8723\)

p value for 3 (=n-1) degrees of freedom = 0.039805 or 3.9805%

As p-value < 1% (level of significance), so, we reject the null hypothesis. Hence, the mean running time of runners is not significantly atleast 21 miles.    

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Poisson distribution is the measure to summarize the information contained in a probability distribution in a single parameter.

Poisson distribution gives the probability of an event occurring a certain number of times (k) within a specified time period.

It is denoted by λ , which is the mean number of events.

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Therefore, it can be seen that the CIA profit/loss is $111,878.

Borrow $4 million in USD at the 4-month interest rate of 2.9%.

Convert the USD to CAD at the spot rate of 1.278 CAD/USD.

Invest the CAD in a 4-month Canadian deposit account at the 4.7% interest rate.

Sell the CAD forward at the 4-month forward rate of 1.2902 CAD/USD.

After 4 months, repay the USD loan and settle the forward contract.

The profit/loss from the CIA strategy is calculated as follows:

Profit/loss = (Interest earned on CAD deposit - Interest paid on USD loan) - (Forward rate - Spot rate)

In this case, the profit/loss is calculated as follows:

Profit/loss = (0.047 * 4,000,000 - 0.029 * 4,000,000) - (1.2902 - 1.278)

= $112,000 - $0.12

= $111,878

Therefore, the CIA profit/loss is $111,878.

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Answer:

Good luck with math