There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?

Rise

Run

Rise = 3

Run = 6

1

2

The percent of the total area under the standard normal curve between z = -1.5 and z = -0.7 is 18%.

To find the percent of the total area between two z-scores, we need to calculate the area under the standard normal curve between those two z-scores.

Using a standard normal distribution table or a statistical software, we can find the area to the left of each z-score and subtract the smaller area from the larger area to find the area between the z-scores.

For z = -1.5, the area to the left of z = -1.5 is approximately 0.0668.

For z = -0.7, the area to the left of z = -0.7 is approximately 0.2420.

The area between z = -1.5 and z = -0.7 is:

Area between z = -1.5 and z = -0.7 = Area to the left of z = -0.7 - Area to the left of z = -1.5

= 0.2420 - 0.0668

= 0.1752

To convert this area to a percentage, we multiply by 100:

Percentage of the total area between z = -1.5 and z = -0.7 = 0.1752 * 100 ≈ 17.52%

Rounding to the nearest integer, the percent of the total area between z = -1.5 and z = -0.7 is 18%.

The percent of the total area under the standard normal curve between z = -1.5 and z = -0.7 is approximately 18%.

To know more about percent , visit;

https://brainly.com/question/31323953

#SPJ11

Answer:

58

Step-by-step explanation:

You would have to turn 7 1/4 into a whole fraction.

Do,

7 * 4 = 28

28 + 1 = 29

Your new fraction would be,

29/4

Now you have to make them equal denominators as 1/8.

Lets see,

Now multiply 4 * 2 is 8.

So multiply 29 times 2.

Which is 58.

Your new fraction is,

58/8

So therefore you would have 58 pieces.

Answer:

That's as far as I know.

Step-by-step explanation:

6(3x+8)+32+12x

18x+48+32+12x

30x+48+32

30x+80

The probability that there will be at least two applicants is 0.60, the probability of at most three applicants is 0.80, and the probability of three or four applicants is 0.20.

To calculate the cumulative probability distribution, we need to sum up the probabilities for each outcome up to a certain point. Starting with the first outcome, we can calculate the cumulative probabilities as follows:

Cumulative Probability Distribution:
Outcome: 1 2 3 0 4
Probability: 0.40 0.25 0.15 0.15 0.05
Cumulative Probability: 0.40 0.65 0.80 0.95 1.00

Using the cumulative probabilities, we can answer the given questions:

The probability that there will be at least two applicants is 1 - cumulative probability of 1 applicant = 1 - 0.40 = 0.60.

The probability that there will be at most three applicants is the cumulative probability of 3 applicants = 0.80.

The probability that there will be three or four applicants is the difference between the cumulative probabilities of 3 and 4 applicants = cumulative probability of 4 applicants - cumulative probability of 3 applicants = 1.00 - 0.80 = 0.20.

These probabilities are obtained by analyzing the cumulative probabilities of the given outcomes in the probability distribution.

Learn more about Probability click here :brainly.com/question/30034780

#SPJ11

Answer:

the two equations you can use are

y = 2x - 3

y + x = 9

Answer:

75%

Step-by-step explanation:

Step-by-step explanation:

quarter = 25¢

dime = 10¢

nickel = 5¢

1 quarter (25¢) + 3 dimes (3 x 10¢, which is 30¢) + 4 nickels (4 x 5¢, which is 20¢)

25 + 30 + 20

25 + 50

75¢

1 dollar is 100¢

75/100 = 75%

Answer:

i. 13.23

ii. 20.58

iii. 76.77

iv. 84.48

Step-by-step explanation:

Here , we are to calculate the square root of we have of the decimal numbers and correct to two decimal places.

i. √(175.01) = 13.229 = 13.23

ii. √(423.74) = 20.5849 = 20.58

iii. √(5893.27) = 76.767 = 76.77

iv. √(7136.8) = 84.4795 = 84.48

Kindly note that the approximation to two decimal places are the figures after the equal to

The subset of the data set with x2, x3, and x4 would include 6 missing values.

The subset of the data set with x2, x3, and x4 would include 6 missing values.

1. Subset the data set to include only x2, x3, and x4.

2. Count the number of missing values in each variable.

3. Add the number of missing values for each variable together.

4. The total number of missing values in these three variables is 6.

The subset of the data set with x2, x3, and x4 would include 6 missing values.

Subset the data set to include only x2, x3, and x4.

The complete question is :

Subset the data set to include only x2, x3, and x4. How many missing values are there in these three variables?

Learn more about data here

https://brainly.com/question/14893265

#SPJ4

The probability that the company will receive 3 calls in a 12 minute period is 0.2225

X ≈ Poisson (λ)

computer helpline receives

Where λ is 14 calls per 60 minutes

so for 12minutes λ = 12(14/60) = 2.8

Poisson probability distribuition is

P(X) = e^(-λ) x λˣ/X!

probability that the company will receive 3 calls in a 12 minute period

P(X = 3 ) = e^-2.8 x 2.8³/3!

=0.2225

Therefore, if a computer helpline receives, on average, 14 calls per hour asking for assistance, then the probability that the company will receive 3 calls in a 12 minute period is 0.2225

To learn more about poisson distribution refer here

https://brainly.com/question/24098004

#SPJ4

Answer:

pi^4

Step-by-step explanation:

In a problem like this you subtract exponents

11 - 7 = 4

pi^4

The Balmer series, the second line would have ni = 4, indicating that the electron transitions from the fourth energy level to the second energy level.

The Balmer series is a series of spectral lines in the emission spectrum of hydrogen. It corresponds to transitions of electrons in hydrogen atoms from higher energy levels (initial states) to the second energy level (final state) with nf = 2.

In the Balmer series, the first line is associated with an initial energy level ni = 3. This means that the electron starts in the third energy level and transitions to the second energy level (nf = 2). Each line in the series corresponds to a different transition between energy levels.

Based on this information, the second line in the Balmer series would correspond to a transition where the electron starts from the fourth energy level (ni = 4) and ends up in the second energy level (nf = 2). This transition represents a higher energy change compared to the first line in the series.

Therefore, for the Balmer series, the second line would have ni = 4, indicating that the electron transitions from the fourth energy level to the second energy level.

Learn more about energy here

https://brainly.com/question/2292202

#SPJ11

To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:

t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))

where:

x1 and x2 are the sample means of the two sheets,

s_p is the pooled standard deviation,

n1 and n2 are the sample sizes.

The pooled standard deviation (s_p) can be calculated using the following formula:

s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))

where:

s1 and s2 are the sample standard deviations.

To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.

Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.

To learn more about equal variances: -brainly.com/question/30777199

#SPJ11

To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.

The t-statistic for a paired t-test is calculated as follows:

t = (X1 - X2) / (s / √n)

where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.

Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.

To learn more about equal variances: -brainly.com/question/30777199

#SPJ11

The mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).

We have,

In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.

To find the mean absolute deviation (MAD), we need to first calculate the mean of the given data set:

mean = (4 + 5 + 7 + 9 + 8) / 5 = 6.6

Next, we calculate the deviation of each data point from the mean:

|4 - 6.6| = 2.6

|5 - 6.6| = 1.6

|7 - 6.6| = 0.4

|9 - 6.6| = 2.4

|8 - 6.6| = 1.4

Then we find the average of these deviations, which gives us the mean absolute deviation:

MAD = (2.6 + 1.6 + 0.4 + 2.4 + 1.4) / 5 = 1.6

Therefore, the mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).

To learn more about mean from the given link:

brainly.com/question/31101410

#SPJ1

Answer:

y=2 x=5

Step-by-step explanation:

3x-2y=11

2x-3y=4

you multiply both equations to cancel one variable out. in this case you multiply the first equation by 2 and the second by -3

     6x-4y=22

+    -6x-9y=12

--------------------------

0x+5y=10

y=2

you plug that in either equation

3x-2(2)=11

3x-4=11

3x=15

x=5

Answer:

Last choice (about hats).

Step-by-step explanation:

The inequality means:

Start with $60

Spend $15 per item on x number of items.

End up with at least $7.

Read all choices. The last one is the answer.

Answer:

D

Step-by-step explanation:

Answer:

58%

Step-by-step explanation:

10*5=50

7*3=21

21/50 chance to choose inside small rectangle

21/50*2 = 42/100 chance to choose inside small rectangle

100-42=58%

The given statements:

1) ΔQRS ≅ ΔSTU (according to the ASA axiom)

2) The congruent ∠S: ∠RSQ ≅ ∠UST (Vertical angles)

The ASA axiom states that "two triangles are said to be congruent if two pairs of corresponding angles and the sides between these angles are equal".

It is given that,

S is the midpoint of QT.

So, SQ ≅ ST <S>

Since ∠S is at the intersection of two transversal lines, ∠RSQ ≅ ∠UST <A>.  This is beacuse they are vertically opposite.

And QT is the transverse line for the parallel lines, QR║UT. So, the alternate angles(interior) are congruent. I.e., ∠SQR ≅ ∠UTS <A>.

From this, the given triangles have two equal corresponding angles and congruent sides in between them.

So, ΔQRS ≅ ΔSTU according to ASA axiom.

Therefore, ΔQRS ≅ ΔSTU and ∠RSQ ≅ ∠UST.

Learn more about the ASA axiom here:

https://brainly.com/question/24858837

#SPJ1

a) The two fundamental solutions of the differential equation are y1(x) = a0 * (1 - x^2/4 + x^4/64 - x^6/2304 + ...) and y2(x) = x * (1 - x^2/6 + x^4/96 - x^6/3456 + ...), centered at x = 0. b) The exact solutions of the differential equation cannot be expressed as elementary functions without using infinite sums.

a) To solve the given differential equation using the Frobenius method, we assume a power series solution of the form y(x) = Σn=0∞ anxn.

Substituting this into the differential equation, we obtain:

4xΣn=0∞ an(n+1)xn-1 + 2Σn=0∞ anxn - Σn=0∞ anxn = 0.

Rearranging the terms and combining the sums, we have:

Σn=0∞ [4an(n+1)xn + 2anxn - anxn] = 0.

Now, equating the coefficients of like powers of x to zero, we get the following recurrence relation:

4a0 - a0 = 0, for n = 0 (constant term),

4an(n+1) - an + 2an = 0, for n > 0.

For n = 0, we have a0 = 0.

For n > 0, simplifying the recurrence relation, we get:

an = -an-1 / (4(n+1) - 2).

We can express an in terms of a0 as follows:

an = (-1)n(n-1)/2 * a0 / (2^(2n)(n!)^2).

Now, we can express the two linearly independent solutions as power series centered at x = 0:

y1(x) = a0 * (1 - x^2/4 + x^4/64 - x^6/2304 + ...),

y2(x) = x * (1 - x^2/6 + x^4/96 - x^6/3456 + ...).

The choice of centering the power series at x = 0 is justified by the fact that the differential equation is regular at this point.

b) Expressing the fundamental solutions as elementary functions without using infinite sums can be challenging in this case, as the power series solutions involve infinite sums. However, if we truncate the power series to a finite number of terms, we can approximate the solutions using polynomials or rational functions. Nevertheless, in general, the exact solution of this differential equation is given by the power series solutions obtained in part a).

To know more about differential equation,

https://brainly.com/question/32389282

#SPJ11

The value of cos (A - B) in the simplest form for the acute angles A and B is 4√1241 / 43 - 4 / 1725.

Given that sin A = 28/53 and cos B = 12/13, find the value of cos (A - B) in simplest form.

To solve the given problem, we need to apply the formula for cos (A - B).

Now,

cos (A - B) = cos A cos B + sin A sin B

Substitute the given values of sin A and cos B:

cos (A - B) = (cos A) (12/13) + (28/53) (sin B)

Now we have to find the value of cos A and sin B using Pythagorean identities.

Substitute the values in the formula for sin A² + cos A² = 1

(sin A)² + (cos A)² = 1(28/53)² + (cos A)² = 1

(cos A)² = 1 - (28/53)²(cos A)² = 1 - 784/2809

(cos A)² = (2025 - 784) / 2809

(cos A)² = 1241 / 2809

cos A = ±(√1241 / 53)

Since A is acute, the value of cos A is positive.

∴ cos A = (√1241 / 53)

Now substitute the values in the formula for cos B² + sin B² = 1

(cos B)² + (sin B)² = 1(12/13)² + (sin B)²

(sin B)² = 1 - (144/169)(sin B)² = (169 - 144) / 169

(sin B)² = 25 / 169sin B = ±(√25 / 13)

Since B is acute, the value of sin B is positive.

∴ sin B = (√25 / 13)

Now substitute the values in the formula we obtained earlier.

cos (A - B) = (cos A) (12/13) + (28/53) (sin B)

cos (A - B) = (√1241 / 53) (12/13) + (28/53) (√25 / 13)

cos (A - B) = 144√1241 / 689 + 28√25 / 689

cos (A - B) = 144√1241 / 689 + 28 / 689

cos (A - B) = 4√1241 / 43 - 4 / 1725

Therefore, the value of cos (A - B) in the simplest form is 4√1241 / 43 - 4 / 1725.

Learn more about acute angles here:

https://brainly.com/question/16775975

#SPJ11

To find the total distance the student ran during the ten-day period, we can add up the distances covered each day. the student ran a total distance of 2.68 miles during these ten days.

For the first five days, the student ran a distance of 3/12 miles each day. So the total distance covered during these five days would be: (3/12) + (3/12) + (3/12) + (3/12) + (3/12) = (15/12) = 1.25 miles.

For the next five days, the student ran a distance of 4/14 miles each day. So the total distance covered during these five days would be: (4/14) + (4/14) + (4/14) + (4/14) + (4/14) = (20/14) = 1.43 miles.

To find the overall total distance, we add the distances from both periods: 1.25 miles + 1.43 miles = 2.68 miles. Therefore, the student ran a total distance of 2.68 miles during these ten days.

To learn more about miles, click here: brainly.com/question/30401762

#SPJ11

Answer:

  11.4

Step-by-step explanation:

You want the distance between C(-5, 5) and D(4, -2).

The distance formula is ...

  d = √((x2 -x1)² +(y2 -y1)²)

For the given points, the distance is computed to be ...

  d = √((4 -(-5))² +(-2 -5)²) = √(81 +49) = √130

  d ≈ 11.4

The length of CD is about 11.4 units.

__

Additional comment

The distance formula is an application of the Pythagorean theorem. It computes the hypotenuse of a right triangle whose legs are the differences in x- and y-coordinates.

Answer:

(1, 7)

Step-by-step explanation:

y = 3x + 4

y = 6x + 1

6x + 1 = 3x + 4 ⇒ x = 1

y = 3(1) + 4 = 7

(1, 7)

Answer:

(1, 7)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

y = 3x + 4

y = 6x + 1

Step 2: Solve for x

Step 3: Solve for y

1a. the letter in the 2022nd position is 'A'.

1b.there are 5040 ways the letters of the word "HAIRCUT" can be arranged.

1c.There are 1260 ways the letters of the word "PREPARE" can be arranged.

1a. The given sequence "MATHMATHMATHMA..." follows a pattern where the letters "MATH" are repeated. Since the pattern is repeating every 4 letters, we can determine the letter in the 2022nd position by finding the remainder when 2022 is divided by 4.

2022 ÷ 4 = 505 remainder 2

Since the remainder is 2, the letter in the 2022nd position would be the second letter in the pattern, which is 'A'.

Therefore, the letter in the 2022nd position is 'A'.

1b. To find the number of ways the letters of the word "HAIRCUT" can be arranged, we can use the concept of permutations.

The word "HAIRCUT" has 7 letters, and to find the number of arrangements, we calculate 7 factorial (7!).

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040

Therefore, there are 5040 ways the letters of the word "HAIRCUT" can be arranged.

1c. To find the number of ways the letters of the word "PREPARE" can be arranged, we again use the concept of permutations.

The word "PREPARE" has 7 letters, but it contains repeated letters. The letter 'P' appears twice, and the letter 'E' appears twice.

To account for the repeated letters, we divide the total number of arrangements by the factorial of the number of repetitions for each letter.

The number of arrangements is given by:

7! / (2! * 2!)

Calculating:

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040

2! = 2 x 1 = 2 (for the repeated 'P')

2! = 2 x 1 = 2 (for the repeated 'E')

Plugging in these values:

5040 / (2 * 2) = 5040 / 4 = 1260

Therefore, there are 1260 ways the letters of the word "PREPARE" can be arranged.

Learn more about HAIRCUT from

https://brainly.com/question/13875548

#SPJ11

1. In my opinion, the domain that is most difficult to monitor for malicious activity is the User Domain. The User Domain represents all the individuals who access an organization's network and resources.

This domain is the most vulnerable to security breaches because users are prone to making mistakes that can expose the network to attacks.
Users can fall for phishing scams, install malicious software, or use weak passwords that can be easily guessed by hackers. It is challenging to monitor user activity because it requires a balance between security and user privacy. Organizations must ensure that users are following security policies without infringing on their privacy rights.

Another reason the User Domain is challenging to monitor is the wide range of devices that users may use to access the network, such as smartphones, tablets, laptops, and personal computers. Securing all these devices can be a challenge, and ensuring that all devices are updated with the latest security patches can be difficult.

2. It appears that you have not given a second question. If you have any other question regarding this topic, kindly post the complete question, and I will be glad to assist you.

To know more about malicious visit:

brainly.com/question/32063805

#SPJ11

Answer:

104 inches

Step-by-step explanation:

To solve this, we use a circle theorem. The circle theorem to use is that a line from the center of a circle is perpendicular to a chord and it divides the chord into exactly two equal parts.

So therefore, we shall be having a right angled triangle if we join the edge of the chord to the center of the circle.

So in this circle, we have the distance from the center of the circle to the chord, the radius of the circle and half the length of the chord.

The length of the radius serves as the hypotenuse.

Let’s call the radius r.

The other two sides measure; 40 and 96 respectively.

Mathematically, using Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the squares of the two other sides;

r^2 = 40^2 + 96^2

r^2 = 10,816

r = √(10,816)

r = 104 inches

If Ai Mi sticks to the plan, she would be expected to run 27.5 miles during her 16th week of the training plan.

The number of miles Ai Mi would be expected to run during her 16th week of the training plan, we need to determine the pattern of mileage increase.

In the first week, Ai Mi runs 5 miles. The plan calls for an increase of 1.5 miles every week. This means that for each subsequent week, Ai Mi's mileage will be 1.5 miles more than the previous week.

To find the mileage for the 16th week, we can use the formula

Mileage = Initial Mileage + (Week Number - 1) * Weekly Increase

In this case, the initial mileage is 5 miles, the weekly increase is 1.5 miles, and we want to find the mileage for the 16th week.

Mileage = 5 + (16 - 1) × 1.5

Mileage = 5 + 15 × 1.5

Mileage = 5 + 22.5

Mileage = 27.5

Therefore, if Ai Mi sticks to the plan, she would be expected to run 27.5 miles during her 16th week of the training plan.

To know more about miles click here :

https://brainly.com/question/13816350

#SPJ4

If an erroneous, invalid, and/or fictitious operator ID is entered into the meter, the operator:  b. will NOT be able to continue any type of testing until a valid operator ID is entered.

When an erroneous, invalid, or fictitious operator ID is entered into the meter, it indicates that the operator is not recognized or authorized. In such cases, the operator will not be able to continue any type of testing until a valid operator ID is entered. The meter requires a valid operator ID for security and accountability purposes, ensuring that only authorized personnel can perform testing activities.

To ensure proper control and security, a meter typically restricts testing activities if an invalid operator ID is entered. The operator will need to provide a valid operator ID to proceed with testing.

To know more about operator , visit :

https://brainly.com/question/29288529

#SPJ11