(t/f) true or false. with sample size greater than 30, the standard error of sample means is the same as sample standard deviation.

The amount will be $412.91 after 8 years if $300 is invested at 4% interest compounded monthly.

Given:

Principal (P) = $300

rate of interest (r) = 4%

time (t) = 8 years.

compounded monthly.

Amount (A) = ?

we know the formula as:

A(t) = P(1+r/n)^nt

we know t=8

A(8) = 300(1+0.04/12)^12(8)

A(8) = 300(1+0.04/12)^96

A(8) = 300(1.033)^96

A(8) = $412.91

Hence amount after 8 years will be $412.91.

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As each trial has a 0.375 probability, the probability for three successes is 0.05273 and for six successes is 0.00278.

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, if we are unclear of how an event will turn out. Statistics is the study of occurrences subject to probability. The number of possible outcomes is divided by the total number of possible outcomes to determine probability. Odds are not the same as probability. Odds are calculated by dividing the probability of a given event by the probability that it won't. By dividing the number of preferable outcomes by the total number of potential outcomes, probability, which measures the likelihood that an event will occur, is obtained.

Here,

The probability of success in each trial=3/8

For 3 success,

P(3)=(3/8)³

=0.05273

For 6 success,

P(6)=(3/8)⁶

=0.00278

The probability for 3 success is 0.05273 and for 6 success is 0.00278 as for each trial, the probability is 0.375.

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Answer:

I guess it's 77 although I'm not in high school

The regression model that would offer the better fit is one with a smaller standard error of the estimation and a given elements coefficient of determination when two regression models used on the same data set have had the same dependent variables but a variable figure of explanatory factors.

The coefficient of determination is most frequently used to determine how well a regression model fits observed data. For instance, data fitting the regression model 60% of the time is indicated by a determination coefficient of 60%. In general, a greater coefficient denotes a better model fit.

The degree of deviation around the mean increases with the coefficient of variation. Typically, a percentage is used to indicate it. Without units, it enables comparison of value distributions whose measurement scales are incomparable.

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Answer:y=x+6

Step-by-step explanation:

y= slopex+y-intercept

the probability that she will correctly answer

A) 10 questions = 0

b) 9 questions =  0.00003

c) 8  questions =  0.00039

d) 7 questions =0.00309

e) 6 questions = 0.01622

f) 5 questions = 0.0584

Here  the total number of  question is 5+3+2= 10, and every question has four possible answers, for this problem, we will be  using the binomial distribution, the formula  is :

[tex]C_{n,k}[/tex][tex]p^{k}[/tex][tex]q^{n-k}[/tex] ,here C is the  combination,  p is the probability of success and q is the probability of having the success

for the given situation :

the p = 1/ 4 whereas, q=3/4

here n =10

now  for different values of  k  which is  the number of successes,  we substitute the know values in the formula, and we get

P(k=10) = 0

P(k=9) = 0.00003

P(k=8) = 0.00039

(P=7)= 0.00309

(P=6)=0.01622

(P=5)= 0.0584

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The values of a and b are 3 and 2.

An expression is combination of variables, numbers and operators.

Given,

A company that manufactures memory chips for digital cameras uses the formula [tex]c=3\sqrt{n} (40\sqrt[6]{n}+9\sqrt[4]{n} )[/tex]

The cost, c, in dollars, for producing n chips.

We need to solve for values a and b.

[tex]c=3\sqrt{n} (40\sqrt[6]{n}+9\sqrt[4]{n} )[/tex]

[tex]c=3\sqrt{n} (40\sqrt[6]{n})+3\sqrt{n} (9\sqrt[4]{n} )[/tex]

[tex]c=120\sqrt{n} \sqrt[6]{n} +27\sqrt{n} \sqrt[4]{n}[/tex]

[tex]c=120n^{\frac{7}{2}} +27n^{\frac{5}{2}}[/tex]

c=[tex]120n^{\frac{3a}{2} } +27n^{\frac{4b}{2} }[/tex]

By solving this we get a=3 and b=2

Hence, the value of a and b is 3 and 2.

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Answer: 8.123 is a decimal

Step-by-step explanation:

A decimal is a whole number and a fractional part

there is a decimal point

We fail to reject H0. So there is enough evidence to state that the hypothesis H1 has the risk to make an error equal to α.

The term "standard deviation" refers to a measurement of the data's dispersion from the mean. A lower number deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

The standard deviation is positive, or greater than zero, whenever there are two uneven terms in the observations. The standard deviation is exactly zero if all of the observations are equally distributed. Thus, the standard deviation can never be negative or less than zero.

We have two hypotheses:

H0: μ= 120

H1: μ≠ 120

where μ is the mean weight and per apple the value of α is 0.05. If conditions are met we will run sample a.

random: 49 apples are randomly selected

normal: 49>=30 so CLF holds. Now,

formula of z-test for μ

Test statistic:  z-test=(¯x−μ)/( σ/√n)

We are given with:

n=49

¯x=122.5

σ=12

putting values in formula:

z-test=(122.5-120)/(12/√49)

=1.458

P-value: P(z>1.458)=normal df(1.458, ∞,1)

=0.0724

And it is a two tailed test so

=2(0.0724)

=0.1448

Since P-value> α ; (0.0724>0.05)

So, we fail to reject H0. We do not have convincing evidence that there is a difference in mean weight per apple. So here we would say that there is enough evidence to state that the hypothesis H1 has the risk to make an error equal to α.

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The distance between the two elevation is 30 metres. Therefore, Steve is correct.

A hiker is hiking at an elevation located 18 meters above sea level. Simultaneously a diver is diving at a location that is 12 meters below sea level.  

The distance between the two elevation can be calculated as follows:

Jessica said the answer is 6 meters. Steve said the answer is 30 meters.

Let's find who is correct.

The hiker is 18 metres above sea level . The diver is 12 meters below sea level. For the diver to get to sea level he will travel 12 meters. For the diver to get to the hiker position he will travel extra 18 metres.

Therefore, the distance in elevation is 12 + 18 = 30 metres. Hence, Steve is correct.

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There is a 1/12 chance that the three pairwise distances between the locations are smaller than the radius of the circle.

Here,

The first point can be placed anywhere on the circle because it doesn't matter where it is chosen.

A total of 120 degrees and a probability of 1/3 must be provided by the next point, which must be within an arc of 60 degrees on either side. The second point must be 60 degrees or less from the first two.

The third point can be located within an arc with a minimum area of freedom of 60 degrees and a chance of 1/6 if the first two locations are separated by 60 degrees. The third point can be located with a maximum degree of freedom of a 120 degree arc and a 1/3 chance if the first two points are the same.

Up to a maximum of 60 degrees away from the starting point, the likelihood changes linearly.

By averaging the probabilities at either end, we may discover 1/4, the typical likelihood we can position the third point based on a fluctuating second point.

The overall probability is 1 1/3 4 = 1/12.

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(a) The rectangular arrays could the squares have been​ arranged as

1 by 135, 3 by 45, 5 by 27, 9 by 15, 15 by 9.

(b)  The rectangular arrays is of 1 by 23.

What is solar panel?

An assembly of photovoltaic solar cells installed on a frame (often rectangular) is known as a solar cell panel, solar electric panel, photo-voltaic (PV) module, PV panel, or solar panel. A well-organized collection of PV panels is known as a photovoltaic system or solar array. Sunlight is used by solar panels to collect radiant energy, which is then transformed into direct current (DC) power.

(a) Let a particular solar panel is 5 squares by 27 squares.

5 by 27 = 135 which can be arranged as,

1 by 135

3 by 45

5 by 27

9 by 15

15 by 9

(b) There were 23 ​squares.

The factors of 23 are 1, 23 only so there can be only 1 rectangular array of 1 by 23.

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The probability that a single randomly selected value is more than 987 dollars is 0.5664

We know that probability is defined as the ratio of number of favorable outcomes to the total number of outcomes.

We know very well that z-value is calculate by the formula

z = (X-μ) / σ/√n

where z is the z-value,

X is randomly selected value,

μ is standard mean

σ is standard deviation and

n is the sample size.

For, X=987

=>z = (987-1037) / (243/√69)

=>z= -50 / (243 / 8.33)

=>z = -50 / (29.171)

=>z= -1.714

Now, we need to find the probability of A>987,so,we need to find what is the probability of A<=987.

P(X>987)= 1-P(X≤987)

=>P(X>987)=1-P(z<(-1.714))

Using the z-table ,we get that P(z<(-1.714))=0.43353

Therefore, P(X>987)=1-0.43353=0.5664

Hence, required probability is 0.5664

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(Complete question) is:

CNNBC recently reported that the mean annual cost of auto insurance is 1037 dollars. Assume the standard deviation is 243 dollars. You take a simple random sample of 69 auto insurance policies. (Do not use tables unless directed to do so.)

Find the probability that a single randomly selected value is more than 987 dollars. P(Â > 987).Enter your answers as numbers accurate to 4 decimal places.

answer:

provided in the explanation.

step-by-step explanation:

the graph would contain the points (0,0), (1,10), (2,20), etc. the slope is 10, which represents the number of coordinate video games practiced in x number of hours. the representation for the slope depends on whether coordinate video game or hours practiced is on the x or y axis. hope that helps!

The minimum cost is 12.

The Vector r(u, v) with the domain D does not define a smooth parametrized surface.

Vector: Vectors are quantities that can be identified by magnitude and direction. Examples are velocity and acceleration.

Given that:

Vector r(u, v) = (cos(u), sin(v), 1), D = {(u, v)

Vector [tex]r_{u}[/tex] = (-sinU, 0,0)

Vector [tex]r_{V}[/tex] = (0, cosv,0)

Vector [tex]r_{u}[/tex] x Vector [tex]r_{V}[/tex] =

[tex]\left[\begin{array}{ccc}i&j&k\\-sinU&0&0\\0&cosv&0\end{array}\right][/tex]

Solving the vector multiplication. We get,

Vector [tex]r_{u}[/tex] x Vector [tex]r_{V}[/tex] = 0 x i - j x 0 + (cosv x - sinU)

Vector [tex]r_{u}[/tex] x Vector [tex]r_{V}[/tex] = 0 - sinUcosv

Vector [tex]r_{u}[/tex] x Vector [tex]r_{V}[/tex] =  - sinUcosv

Vector [tex]r_{u}[/tex] x Vector [tex]r_{V}[/tex] = (0, 0,- sinUcosv)

The Vector r(u, v) with the domain D does not define a smooth parametrized surface.

Vector [tex]r_{u}[/tex] x Vector [tex]r_{V}[/tex] = (0, 0,- sinUcosv) therefore has some value.

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The value of integers m and n is 17 and 32 respectively.

Here, we are given that in a five-team tournament, each team plays one game with every other team.

Chance of winning = 50% or 1/2

We need to find the probability that at least one team wins all games or at least one team loses all games. We can use complementary counting to do so.

Each team will play 4 matches.

Probability that there is one team which wins all games = [tex]5*1/2^{4}[/tex]

= 5/16

Similarly, the probability that there is one team which loses all games = 5/16

The probability that one team wins all games and another team loses all games = [tex][5(1/2)^{4} ][4(1/2^{3})][/tex]

= (5/16)(4/8)

= 5/32

Now, 5/16 + 5/16 - 5/32 = 15/32

Since this is the complement of the probability we want, we subtract it from 1 to get (1- 15/32) = 17/32

Thus, the value of integers m and n is 17 and 32 respectively.

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Answer: 0.16

Step-by-step explanation:

Answer:

Step-by-step explanation:

the longest sideis greater than others.

so the answer is

Answer:

Yes it can

Step-by-step explanation:

Three sides of any length will always form a triangle.

Jane makes sure that the (B) coffee is brewed simultaneously in each pot as part of her experimental study.

Experimental investigations involve introducing an intervention and observing its results.

Typically, volunteers in experimental research are grouped randomly, or by chance.

In experimental research, the dependent and independent variables are compared to examine how they relate to one another.

A link between a certain feature of an item and the variable under investigation is either accepted or denied following the conclusion of an experimental research study.

Laboratory experiments are the most fundamental type of experimental study, albeit they can take on several forms depending on the research topic.

Laboratory experiments are the most fundamental type of experimental study, albeit they can take on several forms depending on the research topic.

So, in the given situation, Jeane makes sure that the coffee is brewed simultaneously in all of the pots.

Therefore, Jane makes sure that (B) coffee is brewed simultaneously in each pot as part of her experimental study.

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Complete question;
Jenae noticed that many of her co-workers would opt for the coffee that appeared to be most recently brewed, regardless of the flavor of the coffee offered. This leads her to believe that what she was witnessing was not really representative of everyone's true flavor preferences. She adapted her experimental study accordingly. Select one control in Jenae's experimental study:

a. Jeane places condiments at random places throughout the kitchen.

b. Jeane makes sure that the coffee in different pots is brewed at the same time.

c. Jeane uses different locations in the kitchen for the coffee pots.

d. Jeane monitors the habit of co-workers who do not drink coffee.

The Taylor series expansion of f of x is given by 11e to the fourth power + 22e to the fourth power times x minus two plus 22e to the fourth power multiplied by x minus two all squared, where f of x is equal to 11e to the power of two x in rising powers of x minus two.

An infinite sum of words that are expressed in terms of a function's derivatives at a single point is known as the Taylor series or Taylor expansion of a function in mathematics.

Near this point, the function and the sum of its Taylor series are equivalent for the majority of common functions.

For Brook Taylor, who introduced the Taylor series in 1715, they are named after him. When 0 is the point at which the derivatives are taken into account, a Taylor series is also known as a Maclaurin series in honor of Colin Maclaurin, who made great use of this unique situation of Taylor series in the middle of the 18th century.

The nth Taylor polynomial of a Taylor series is a polynomial of degree n that is created by the partial sum of the first n + 1 terms of a Taylor series.

Hence, The Taylor series expansion of f of x is given by 11e to the fourth power + 22e to the fourth power times x minus two plus 22e to the fourth power multiplied by x minus two all squared, where f of x is equal to 11e to the power of two x in rising powers of x minus two.

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The following is the graph that displays the most trustworthy findings:

Choice C

A correlation coefficient is defined.

A measure of correlation between two variables, the correlation coefficient between two variables assumes values between -1 and 1.

The relationship is direct proportional if it is positive, and inverse proportional if it is negative.

Strong correlation exists between two variables if the correlation coefficient's absolute value is higher than 0.6.

This description leads us to conclude that the graph with the highest correlation coefficient is the most accurate, making Option C the proper choice.

Lack of Information

The two solutions to this problem are as follows:

Option B: Create a graph with a r = 0 correlation coefficient.

Option C: Create a graph with a r = 0.87 correlation coefficient.

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Together the numbers a , b and c can be chosen in 4 ways.

Given:

when three positive integers $a, b$, and $c$ are multiplied together, their product is $100$ and a < b < c .

The positive divisors of 100 are :

1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100.

It is clear that :

10 ≤ c ≤ 50.

so we apply from c value 10.

if c = 10 ,  then ( a , b , c ) = ( 2 , 5 , 10 )

if c = 20 ,  then ( a , b , c ) = ( 1 , 5 , 10 )

if c = 25 ,  then ( a , b , c ) = ( 1 , 4 , 25 )

if c = 50 ,  then ( a , b , c ) = ( 1 , 2 , 50 )

we can observe ways = 4.

Therefore the number of ways is 4.

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Using percentages, we know that Joey has 37.5% of colored pairs of socks.

%, which is a relative figure used to denote hundredths of any quantity.

Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance.

Finding the percentage of a whole in terms of 100 is what percentage calculation is.

Both manual calculation and the use of internet calculators are options.

So, the percentage of colored pair of socks are:

We know that Joey has a total of 8 pairs of socks.

We also know that 5 pairs of socks are white.

Hence, the colored pair of socks will be:

8 - 5 = 3

Calculate its percentage as follows:

3/8 * 100

0.375 * 100

37.5%

Therefore, using percentages, we know that Joey has 37.5% of colored pairs of socks.

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The equation of the line that passes through the points (7, -8) and (-4, 6) in point slope form is y - 6 = -14/11(x + 4)

The coordinates of the first point = (7, -8)

The coordinates of the second point = (-4, 6)

The slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the values in the equation

The slope of the line = (6-(8) / (-4-7)

= 6+8 / -4-7

= 14 / -11

= - 14/11

Point slope form is

[tex]y-y_1=m(x-x_1)[/tex]

Substitute the value in the equation

y - 6 = -14/11(x - (-4))

y - 6 = -14/11(x + 4)

Therefore, the equation of the line is y - 6 = -14/11(x + 4)

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The value of the variable 'p' for the given inequality is found as p > -1/5.

For the stated question-

-5p -1 > -10p - 2

Solve the inequality as

Add 1 both sides.

-5p -1 + 1 > -10p - 2 + 1

-5p  > -10p - 1

Add 10p both sides.

-5p  + 10p > -10p - 1 + 10p

5p > -1

Divide both sides by 5

p > -1/5

Thus, the value of the variable 'p' for the given inequality is found as p > -1/5.

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