in a group of 101 students 40 are juniors 50 are female and 22 are femal juniors. find the probability that a student picked from this group at random is either a junior ir a female. create a contingency table

The given information indicates that the average speed on the 405 freeway follows a normal distribution with a mean of 50 mph and a standard deviation of 12 mph. To find the probability that someone is driving slower than 35 mph, we need to calculate the deviation from the mean using the z-score formula:

z = (x - μ) / σ

where x is the value we are interested in (35 mph), μ is the mean (50 mph), and σ is the standard deviation (12 mph).

z = (35 - 50) / 12
z = -1.25

Using a standard normal distribution table or calculator, we can find the probability that a z-score is less than -1.25. The probability is approximately 0.1056 or 10.56%.

Therefore, the probability that someone is driving slower than 35 mph on the 405 freeway is about 10.56%.

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Answer:

hi...... hello.. m...... n. b

Answer:

C = 7.72 ~ 7.7

Step-by-step explanation:

So when you solve this equetion you must 1st find x then c

we can find x by using cos(60)

cos(60) = x/14

x = cos(60) × 14

x = 1/2 ×14

x = 7

so after we find x we are going to solve c by using cos (25)

cos (25) = X/C = 7/c

cos(25) × C = 7

C = 7/cos (25)

C = 7.72 ~ 7.7

so the solution is 7.7

Answer:

The electrons in the battery will flow from the negative electrode (anode) to the positive electrode (cathode) through an external circuit, driven by the potential difference created by the ionic paste.

Step-by-step explanation:

In a battery, the ionic paste, which is usually an electrolyte solution, allows the flow of ions between the electrodes of the battery. This flow of ions creates a potential difference between the two electrodes, which in turn creates an electric field.

The electrons in the battery will flow from the negative electrode (anode) to the positive electrode (cathode) through an external circuit, driven by the potential difference created by the ionic paste. As the electrons move through the external circuit, they can be used to power a device or do useful work.

It is important to note that the flow of electrons occurs only in the external circuit, while the flow of ions occurs only within the battery itself, through the ionic paste. The flow of electrons and ions is connected but separate processes that work together to generate electrical energy in a battery.

lets remember what it means compound continuously,

the interest never stopped, the balance is earning interest at all time

Joseph is 22 and he wants to know how much money he will have at 55

55-22=33

his balance will gain interest for 33 years, this is our time

there is a 7% rate

the formula is

P(t)= P(0) e ^rt

our t is 33

rate=7%

Joseph will have a balance at age 55, 45,334.99 dollars

Answer:

Step-by-step explanation:

Answer:

y=1/3, x=4/9

y=8, 32/3

x=9, y=27/4

y=20, x=80/3

Step-by-step explanation:

Answer:

shelter B

Step-by-step explanation:

I think im so sorry if im wrong but it seems B is correct

Answer:

=−46

Step-by-step explanation:

Answer:

\(n^{2}\) × \(p^{2}\) × \(r^{3}\)

Step-by-step explanation:

\(n^{2}\) × \(p^{2}\) × \(r^{3}\)

Pls consider marking my answer as Brainliest! It would mean a lot!

The final expression in terms of exponent are

\(n^{2} .p^{2} .r^{3}\).

It is required to write  the given expression using exponents.

A quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression. An exponent refers to the number of times a number is multiplied by itself.

Given that:

The expression are

n•n•p•p•r•r•r

there are 2 n , 2 p and 3 r is given with a multiplication sign

So, we need to multiply with the same character, we get

\(n.n=n^{2}\)

\(p.p=p^{2} \\\\\\r.r.r= r^{3}\)

So, n has the power of 2 ,p has the power of 2 and r has the power of 3.

∴The final expression in terms of exponent are

\(n^{2} .p^{2} .r^{3}\).

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C. When there is no outlier, the mean is the appropriate measure of center.

When there are no outliers in a dataset, the mean is a good measure of center because it takes into account the values of all the data points. The median is also a good measure of center, but it may not be the best choice if there are extreme values or outliers in the dataset, as it can be influenced by those values. However, when there are no outliers, both the mean and the median are appropriate measures of center.

Option A is not true because the mean is not skewed in one direction when there is no outlier. Skewness refers to the shape of the distribution, and it can be affected by outliers, but not by the absence of outliers.

Option B is not true because the median is not skewed in one direction when there is no outlier. Skewness refers to the shape of the distribution, and the median is not affected by the shape of the distribution, but by the position of the values.

Option D is not true because the median can be used as the measure of center even when there is no outlier. It is a robust measure of center that is not influenced by extreme values.

The difference of - 1 2/5 - (-4/5) is -3/5.

we have to find the difference of

- 1 2/5 - (-4/5)

First Simplifying the fractions as

-7/5 - (-4/5).

Now, performing the operations

-7/5 + 4/5

= -3/5

Thus, the difference is -3/5.

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The missing data value according to the given z-score is 39.

We can determine how distant a data point is from the mean using its z-score. It is a crucial subject in statistics. Z-scores are a way to compare data to a population that is considered "normal." When attempting to compare someone's weight to that of the "average" person, for instance, it might be intimidating to look at a large table of data even though we know they weigh 70 kg. A z-score offers us an indication of how that person's weight compares to the mean weight of the general population. We shall discover what the z score is in this post.

The z score is a measurement of how many standard deviations a raw score is below or above the population mean. If the value is higher than the mean, it will be positive; if it is lower, it will be negative. The standard score is another name for it. It shows how far away from the mean an object is, in terms of standard deviations. The mean and population standard deviation must be known to apply a z-score. The likelihood of a score happening inside a typical normal distribution may be calculated with the use of a z score. We may also compare two scores from other samples thanks to it. A z score table is a table that contains the values of, which represent the cumulative distribution function of the normal distribution.

The equation is given by z = (x – μ)/ σ.

μ = mean

σ = standard deviation

x = test value.

In the question, z = -2.1, μ = 43, and σ = 2.

Substituting the values, we get:

-2.1 = (x - 43)/2,

or, x - 43 = -2.1*2,

or, x = -4.2 + 43,

or, x = 38.8 ≈ 39.

Thus, the missing data value according to the given z-score is 39.

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Answer:

what is the question write it in thecomments and ill answer

Answer:

1.) (y+1)+y=-5

2y=-6

y=-3

x+(-3)=-5

x=-2

plug in to check if it works

2.) 2(4y+10)+y=2

9y+20=2

9y=-18

y=-2

x-4(-2)=10

x+8=10

x=2

3.) -5(-y+6)+y=0

5y-30=0

5y=30

y=6

x+(6)=6

x=0

4.) 4=6-2x

-2=2x

x=-1

y=6-2(-1)

y=8

5.) 4x-(8)=4

4x=12

x=3

4(3)-y=4

12-y=4

-y=-8

y=8

6.) 3(y-4)+y=12

4y-12=12

4y=24

y=6

x=6-4

x=2

7.) 5x-2x-6=9

3x=15

x=5

5(5)-y=9

25-y=9

-y=-16

y=16

8.)3(x-6)+x=2

4x-18=2

4x=20

x=5

y-5=-6

y=-1

hope this helped :)) also make sure to plug the x and y back into both equations :))

Answer:

3 10/13, 7 2/6, 7 7/11 i think. sorry if im wrong

Step-by-step explanation:

if im right brainliest? im so close to virtuoso!!

Answer:

a. 2w + 2(w+4) = 60

Answer:

the answers a

Step-by-step explanation: the width is 10 and the length is 20

The best way to pay off a loan can be concluded by comparing the total amount paid for different repayment amounts. The repayment option with the lowest total amount paid would be considered the best way to pay off the loan.

(a) The initial loan, X1, can be calculated using the given information that you buy a 1-million-dollar house with a 20% deposit. The deposit is 20% of 1 million, which is:

Deposit = 0.20 * 1,000,000 = $200,000

Therefore, the initial loan X1 is the remaining amount after the deposit is subtracted from the total price of the house:

X1 = 1,000,000 - 200,000 = $800,000

So, the initial loan X1 is $800,000.

(b) To determine the fixed points of the recurrence, we need to find the values of Xn that satisfy the equation Xn = Xn-1 + 0.002178Xn-1 - b. In this case, a fixed point occurs when Xn = Xn-1.

Setting Xn = Xn-1, we get:

Xn = Xn + 0.002178Xn - b

Simplifying the equation, we have:

0.002178Xn = b

Therefore, the fixed points of the recurrence are the values of Xn when 0.002178Xn = b.

This means that the loan amount remains unchanged when the repayments (b) equal 0.002178 times the current loan amount.

Interpreting this in terms of the loan and repayments, the fixed points represent the loan amount that remains constant when the repayments are made according to a specific percentage of the loan amount.

(c) For repayments of b = 2000, b = 3000, and b = 4000, we need to determine the number of fortnights required for the loan to be paid off (Xn ≤ 0) and the total amount paid.

To find the number of fortnights required for the loan to be paid off, we need to solve the recurrence equation Xn = Xn-1 + 0.002178Xn-1 - b for different values of b.

For b = 2000:

Let's calculate the number of fortnights required for Xn ≤ 0:

Xn = Xn-1 + 0.002178Xn-1 - 2000

0 = Xn-1(1 + 0.002178) - 2000

Xn-1 = 2000 / (1 + 0.002178)

Similarly, you can calculate the number of fortnights required for b = 3000 and b = 4000.

To determine the total amount paid, we multiply the repayment amount by the number of fortnights required to pay off the loan.

The best way to pay off a loan can be concluded by comparing the total amount paid for different repayment amounts. The repayment option with the lowest total amount paid would be considered the best way to pay off the loan.

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The solution to the expression 4+(−634) is -630

From the question, we have the following parameters that can be used in our computation:

4+(−634)

Rewrite the expression properly

So, we have the following representation

4 + (−634)

Remove the bracket in the above expression

This gives

4 + (−634) = 4 - 634

Evaluate the difference

4 + (−634) = -630

Hence, the solution is -630

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Answer:

I think this diagram its 110° cause it's measure for ZJKL FOR (G6D)

I

Answer: x1= -3, x2=3

Step-by-step explanation:

3xlxl=8+1

3xlxl=9

lxl=3

x=3

=-3

solution

x1= -3, x2=3

The gardener used 40.5 gallons of gasoline in his lawn mowers in the one month.

Let's say the amount of gasoline used in the lawn mowers is x gallons.

Then, the rest of the gasoline (61.5 - x) would have been used for other purposes.

Since the total amount of gasoline used is 61.5 gallons, we can set up an equation:

x + (61.5 - x) = 61.5

Simplifying this equation, we get:

x + 61.5 - x = 61.5

Combining like terms, we get:

61.5 = 61.5

This equation is true, so we know that our assumption that x is the amount of gasoline used in the lawn mowers is correct.

Therefore, the gardener used x = 40.5 gallons of gasoline in his lawn mowers in the one month.

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Explanation

Step 1

subtract 3 in both sides.

Step 2

Multiply both sides by 6

so, the answer is

I hope this helps you

Answer: c

Step-by-step explanation: 54% of people with internet access prefer text messaging, while only 31% of people without internet access prefer text messaging.

Based on the data, Option (c) statements must be true. "A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends."

It is Mbps or kbps of data packets that can be transferred within a specified time.

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Answer:

Explanation:

A number is said to be in standard form when it is written as a product of a number between 1 and 10 and a power of 10.

The given length is:

This number is already in standard form.

Answer:

y = -319/20| x = 377/20

Step-by-step explanation:

/| 7/2-x-y-(3/5) = 0| -11*x-(13*y) = 0

We try to solve the equation: 7/2-x-y-(3/5) = 0

29/10-x-y = 0 // - 29/10-x

-y = -(29/10-x) // * -1

y = 29/10-x

We insert the solution into one of the initial equations of our system of equations

We get a system of equations:

/| -(13*(29/10-x))-11*x = 0| y = 29/10-x

-1*13*(29/10-x)-11*x = 0

2*x-377/10 = 0

2*x-377/10 = 0 // + 377/10

2*x = 377/10 // : 2

x = 377/10/2

x = 377/20

We insert the solution into one of the initial equations of our system of equations

For y = 29/10-x:  

y = 29/10-377/20

y = -319/20

We get a system of equations:

/| y = -319/20| x = 377/20

Complete question :

WNAE, an all-news AM station, finds that the distribution of the lengths of time listeners are tuned to the station follows the normal distribution. The mean of the distribution is 15.0 minutes and the standard deviation is 3.5 minutes. What is the probability that a particular listener will tune in:

a. More than 20 minutes? b. For 20 minutes or less

Answer: 0.0764 ; 0.9236

Step-by-step explanation:

Mean (m) = 15 minutes

Standard deviation (sd) = 3.5

Z - score :

Z = (x - m) / sd

A) more than 20 minutes

P(X > 20) ; x = 20

Z > (20 - 15) / 3.5 = 5/3.5 = 1.429

P(z > 1.429) = 0.5 - P(0<z<1.43)

Using the z-table: 1.43 = 0.4236

0.5 - 0.4236 = 0.0764

2) 20 minutes or less :

P(X <= 20) ; x = 20

Z < (20 - 15) / 3.5 = 5/3.5 = 1.429

P(z < 1.429) = 0.5 + P(0<z<1.43)

Using the z-table: 1.43 = 0.4236

0.5 + 0.4236 = 0.9236

Answer:

acute angle

AB is 40°

and ED is also 40°

Step-by-step explanation:

Have a nice day!

That is an acute angle

Answer:

The acceleration of a car that travels in a straight line at a constant speed of 100 km/h is zero. Average.

The reasonable solutions to the equation 11.5 = 2.925 sin(27d) + 12.18, within the interval [0°, 720°), are d ≈ 0.496° and d ≈ 6.16°.

To solve the equation 11.5 = 2.925 sin(27d) + 12.18, we can start by isolating the sin(27d) term:

11.5 - 12.18 = 2.925 sin(27d)

-0.68 = 2.925 sin(27d)

Next, divide both sides by 2.925:

-0.68 / 2.925 = sin(27d)

-0.2323 ≈ sin(27d)

To find a solution within the interval [0°, 720°), we can use the inverse sine (arcsine) function. However, it's important to note that the inverse sine function only returns values between -90° and 90°. We'll need to find an angle that satisfies the equation within this restricted range.

Let's find the reference angle by taking the arcsine of the absolute value of -0.2323:

θ = arcsin(|-0.2323|)

θ ≈ 13.38°

Since the sine function is negative in the 3rd and 4th quadrants, we can add or subtract multiples of 180° to find other solutions. We're interested in finding solutions within the interval [0°, 720°), so let's consider two cases:

First solution:

27d = θ

27d = 13.38°

d ≈ 0.496° (approximately)

Second solution:

27d = 180° - θ

27d = 180° - 13.38°

27d ≈ 166.62°

d ≈ 6.16° (approximately)

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