a population has mean of 0.1 and standard deviation of 2.1.what is the probability that the mean of a random sample of size 900 will be negative​

Answer:

a

Step-by-step explanation:

Answer:

f(1)=2. f(0)=4

if f(x)=-2 then x=3

Answer:

\(\dfrac{dV}{dt}=502.65\ mm^3/s\)

Step-by-step explanation:

The volume of a sphere is given by :

\(V=\dfrac{4}{3}\pi r^3\)

The rate of change of volume means,

\(\dfrac{dV}{dt}=\dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3r\times \dfrac{dr}{dt}\)

We have, \(\dfrac{dr}{dt}=2\ mm/s\ and\ r=40\ mm\)

So,

\(\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3\times 20\times 2\\\\=502.65\ mm^3/s\)

So, the volume is increasing at the rate of \(502.65\ mm^3/s\).

Answer:

Step-by-step explanation:

The value of cos^-1(-sqrt(3)/2) is -π/6 or -30 degrees.

We know that cos^-1(x) gives the angle whose cosine is x, in the range [0, π]. In this case, we are looking for the angle whose cosine is -sqrt(3)/2.

Recall that the cosine function is negative in the second and third quadrants of the unit circle. In the second quadrant, the reference angle whose cosine is sqrt(3)/2 is π/6 or 30 degrees, but the cosine function is negative in this quadrant. Therefore, the angle whose cosine is -sqrt(3)/2 is -π/6 or -30 degrees, which is in the fourth quadrant.

So, cos^-1(-sqrt(3)/2) = -π/6 or -30 degrees.

The required rate of simple interest is 1.75%.

Here, we have,

(Principal + Interest) is a straightforward interest equation.

A = P(1 + rt)

Where: A is the sum of the accrued principal and interest.

Principal Amount is P.

I is the interest rate.

r is the annual percentage rate of interest, or R/100.

R is the annual percentage rate of interest; R = r * 100 t is the length of time involved in months or years.

Since I = Prt,

the initial formula A = P(1 + rt) evolved from A = P + I to A = P + Prt,

which may be represented as A = P(1 + rt).

Given: Principal is $1,300

Rate is 7% and the amount earned that is A-P is $159.25.

A = P(1 + rt)

Therefore substituting the values in the above mentioned equation, we get:

159.25= 1300(1+r×7)

On solving we get,

r= 1.75%

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complete question:

At the Blue Bank, Barry would earn $159.25 in simple interest in 7 years after depositing $1,300.

What rate of simple interest is offered at the

Blue Bank?

Answer:

C. 1/8

Step-by-step explanation:

Probability of shooting a goal on a throw is 2/4 = 1/2.

Probability of 3 in a row is (1/2)³ = 1/8.

Answer:

The numbers with the same variables and exponent degree are like terms.

-12h and -3h are like terms, -4 and 9 are like terms.

Answer: 3 miles per hour

Step-by-step explanation: You divide

Speed = Distance / time

Speed = 9/3

Speed = 3 miles/hour

Answer:

125

Step-by-step explanation:

We can first multiply the exponent outside the parentheses by the exponent inside the parentheses.

3*1 = 3.

Now we can solve.

5³ = 125

And there is your answer. Hope this helps. Have a nice day.

Answer:

Mean: \(20.2\), Median: \(20\), Mode: \(18\)

Step-by-step explanation:

The mean or average of a data set is calculating by dividing the sum of the data values by the number of the data values. In this case, the sum of the data values is \(18+24+20+18+21=101\) and the number of data values is \(5\), so the mean is \(\frac{101}{5}=20.2\).

The median of a data set is the middle value when the data is ordered in ascending order, meaning least to greatest. Right now, the data is not in ascending order, but after ordering it, we get \(18,18,20,21,24\). Since there are \(5\) data values in this set, the middle value, or median, will be the \(3\)rd value, which, in this case, is \(20\).

Finally, the mode of a data set is the most frequent value, or the value that shows up the most. In this case, \(18\) shows up twice, unlike the other numbers, which only show up once, so we know that the mode is \(18\). Hope this helps!

Answer:

c

Step-by-step explanation:

Answer:

Uso gumamit ng calculator ✌️

Answer:16.78

Step-by-step explanation:

Answer:

According to the Central Limit Theorem, the sampling distribution of sample means would have a mean of 5.4 years.

Step-by-step explanation:

For a normally distributed random variable X, with mean and standard deviation, the sampling distribution of sample means with size n can be approximated to a normal distribution with mean and standard deviation.

As long as n is at least 30, the Central Limit Theorem can also be applied to skewed variables.

We have the following problem:

Answer:

Step-by-step explanation:

The mean of the sampling distribution of sample means can be calculated using the formula:

μM = μ

where μ is the population mean and M is the sample mean.

Thus, μM = μ = 5.4 years.

Therefore, the mean of the sampling distribution of sample means would also be 5.4 years.

Answer:

90% confidence interval for the mean weight loss for the population represented by this sample assuming that the differences are coming from a normally distributed population is [1.989 ,13.5105]

Step-by-step explanation:

The data given is

                        Mean                 Std Dev

Before            177.25                29.325

After              169.50                    22.431

Difference        7.75                    8.598

Hence d`=   7.75 and sd=   8.598

The 90% confidence interval for the difference in means for the paired observation is given by

d` ± t∝/2(n-1) *sd/√n

Here  t∝/2(n-1)=1.895  where n-1= 8-1= 7 d.f

and  ∝/2= 0.1/2=0.05

Putting the values

d` ± t∝/2(n-1) *sd/√n

7.75  ±1.895 *  8.598 /√8

 7.75  ± 5.7605

1.989 ,13.5105

90% confidence interval for the mean weight loss for the population represented by this sample assuming that the differences are coming from a normally distributed population is [1.989 ,13.5105]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The only graph that shows a proper vertical reflection is the one attached. (It also correctly shows the horizontal compression.)

Answer:

It's Y

Step-by-step explanation:

I got it right. Hope this helps.

After 6 fluid ounces , Naya uses 4 glasses as a result.

A unit of weight is an ounce. There are various kinds of ounces, including avoirdupois, troy, and fluid ounces. One sixteenth of a pound is equivalent to one avoirdupois ounce .  A troy ounce, often known as an apothecaries' measure, is equivalent to 480 grains or one-twelfth of a pound. A volume unit is a fluid ounce. 1/8 of a cup, 2 tablespoons, or 6 teaspoons make to one fluid ounce

In Naya's pitcher, there are three glasses of salted lassi.

She fills each glass with six fluid ounces of lassi.

By translating cups to fluid ounces and dividing the entire amount of lassi by the amount put into each glass, we can determine how many glasses Naya uses if she consumes all of the lassi.

8 fluid ounces make constitute a cup.

Consequently, 3 cups equal 24 fluid ounces (3 x 8).

24 divided by 6 results in:

4 glasses are equal to 24/6.

Naya uses four glasses as a result.

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Answer:

\(mean = \frac{9 + 4 + 4 + 1 + 0 + 6 + 4}{7} = \frac{28}{7} = 4\)

\(mean \: deviation = \frac{ |9 - 4| + |4 - 4| + |4 - 4| + |1 - 4| + |0 - 4| + |6 - 4| + |4 - 4| }{7} = \frac{5 + 0 + 0 + 3 + 4 + 2 + 0}{7} = \frac{14}{2} = 7\)

Answer:

The answer is 20.5

The amount of money that Theresa has left is equal to £2,740.

In order to write a linear equation to describe this situation, we would assign variables to the cost of flights for each of them and the cost of accommodation for each of them respectively, and then translate the word problem into a linear equation as follows:

Let the variable a represent cost of flights for each of them.

Let the variable f represent cost of accommodation for each of them.

Since Theresa paid for herself and 11 friends to go on holiday with a flight cost of £339 and accommodation cost of £266, a linear equation to describe this situation is given by;

y = 12(a + b)

y = 12(266 + 339)

y = £7,260

For the amount of money left, we have:

Amount of money left = £10,000 - £7,260

Amount of money left = £2,740.

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Answer:49

Step-by-step explanation:

A = \(\frac{3+11}{2}\) · 7

= \(\frac{14}{2} \\\) · 7

= 7·7

=49

Answer:

57/60-52/60

Step-by-step explanation:

First you have to make the denominator the same to subtract. By find out what number they have in common. And the number was 60.  15x4=60  and 20x3=60. And whatever you do to the bottom you do for the top 19x3= 57. 13x4=52. So the form would be 57/60-52/60. Once you find the form then you subtract 57-52=5 and when you minus the denominator it stays the same. so the ANSWER would be 5/60.

Answer:

$20-$14=$6

Step-by-step explanation:

this is correct because if you give the $20 to them and the toy costs $14 then you subtract that from the amount you gave them then whatever is left is how much you get back.

brainliest?

The equation of line is y = \(\frac{-1}{3}\)\(x\)+6 .

The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis. Key Point. The equation of a straight line with gradient m and intercept c on the y-axis is y = mx + c.

Given that,

equation of given line with a slope of m = 3

y=3x-5​

A line perpendicular to that line will have a slope that is the negative reciprocal of 3.

The reciprocal of 3 is 1/3. So the negative reciprocal of 3 is -1/3.

Therefore, we want to write the equation of a line with slope, m = -1/3, and passes through the point (6, 4) = (x, y).

y = mx + b

4 = (-1/3)(6) + b      

(we've set up the equation with only one unknown, b, that we can now solve for)

4 = -2 + b

b = 6

With a slope, m = -1/3, and a y-intercept, b = 6, the equation of our line relating x and y is:

y = (-1/3)x + 6

Hence, The equation of line is y = \(\frac{-1}{3}\)\(x\)+6 .

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Answer:

1 day

Step-by-step explanation:

So first you know Emma planted for 4 1/2 days and her brother 2/9 times as much so I think we should do this:

4  1/2 convert to improper fraction = 9/2

             -Then-

multiply 9/2 x 2/9 = 18/18 = 1 day

Hope this helped :D

Answer:

1 day

Step-by-step explanation:

took unit test

Answer:

Amount = $14,024 (Approx)

Step-by-step explanation:

Given:

Amount received P = $13,500

Rate r = 7% = 0.07

Time t = 15 month = 15/12 = 1.25 = year

Discount rate = 6% = 0.06

Computation:

Maturity value = P[1+rt]

Maturity value = 13,500[1+(0.07)(1.25)]

Maturity value = $14,685.61

Time = 15 month - 6 month

Time = 9 month = 9/12 = 0.75 year

Amount = MV[1-dt]

Amount = 14,685.61[1-(0.75)(0.06)]

Amount = $14,024 (Approx)

The simplified value for the function at g(0) and g(2) are 2 and -20 respectively.

To simplify is to make something simpler. Simplifying an equation, fraction, or issue in mathematics entails taking something complex and making it simpler. The issue is made simpler by calculations and problem-solving strategies. We can simplify fractions by removing all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form.

Given a function g(x) = -4x² - 3x + 2

to find the values of g(0)

and g(2)

for g(0)

substitute x = 0 in the equation,

g(x) = -4x² - 3x + 2

g(0) = -4(0)² - 3(0) + 2

g(0) = 2

for g(2), substitute x = 2 in the equation,

g(x) = -4x² - 3x + 2

g(2) = -4(2)² -3(2) + 2

g(2) = -4(4) - 6 + 2

g(2) = -16 - 6 +2

g(2) = -20

Hence the values for g(0) is 2 and for g(2) is -20.

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Answer:

False

Step-by-step explanation:

3:5 and 5:7 can also be written as 3/5 and 5/7 and 3/5≠5/7

Answer:

no

Step-by-step explanation:

3:5 and 5:7 can also be written as 3/5 and 5/7