What is a function Inverse

Answer:

39 degrees

Step-by-step explanation:

Subtract 90 (for the right angle) and 51 (the given angle) from 180, since all angles in a triangle add up to 180.

180-90-51 = 39

Answer:

I think the answer is 39 degrees

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

From the question, we have it that 63 cups were emptied

That means the sum of both cup sizes is 63

Thus;

x + y = 63 ••••••(i)

Since each small cup is of size 8 oz and a total of x was used. The total volume from the small sized cup is 8 * x = 8x oz

similarly for the medium sized, we have 12 * y = 12y oz

The sum of both is 4(147)

8x + 12y = 4(147 )•••••(ii)

We want to get the value of x

from equation i;

y = 63-x

Substitute this into equation ii

8x + 12(63-x) = 4(147)

8x + 756 - 12x = 4(147)

12x-8x = 756-4(147)

4x = 168

x = 168/4

x = 42 small sized cups

Answer:

The first deal is the best deal. After the sales tax, the second deal is the better deal. I hope this helps!!

Answer:

978678

Step-by-step explanation:

kjgh

Answer:

L x W x H = volume

15 x 15 x 8 = 1800

2(8x15) + 2(8x15) + 2(15x15) = 930

240 + 240 + 450 = 930

Answer:

Step-by-step explanation:

ChECK Picture attached for all the three answers.

Hope it helps ❤️

Answer:

circumference = 44 in.

area = 154 in.

Step-by-step explanation:

Circumference = pi * d = (22/7) * 14 = 44 inches

Area = pi*r^2

r = 1/2 * d = 1/2 * 14 = 7

Area = (22/7) * (7^2) = (22/7)  * 49 = 154 inches

hope this helps! <3

To simplify the given rational expression, proceed as follows:

According to this:

The numerator is 6z-4y

The denominator is (y^2)z

Answer:

First question is choose 3，and second question is choose 1.

Step-by-step explanation:

greater than or equal to and less than or equal to is close circle, less than and greater than is open circle.

Answer:

one pen costs 0.5 euros

one rubber costs 0.75 euros

Step-by-step explanation:

4p+5r=5.75

p+4r=3.5

  -4r.   -4r

p=3.5-4r

4(3.5-4r)+5r=5.75

14-16r+5r=5.75

14-11r=5.75

-14.     -14

-11r=-8.25

r=0.75

One rubber cost 0.75 euros

Now to find cost of one pen we just fill in what we know

p+4(0.75)=3.5

p+3=3.5

 -3.  -3

p=0.5

1 pen cost 0.5 euros

Hopes this helps please mark brainliest

Answer:

-2

Step-by-step explanation:

It is in the middle

The z-values for the given situations are approximate:

a. The area to the left of z is 0.1827. z = -0.90

b. The area between −z and z is 0.9830. z = 2.17

c. The area between −z and z is 0.2148. z = 0.85

d. The area to the left of z is 0.9997. z = 3.49

e. The area to the right of z is 0.6847. z= -0.48

a. For an area of 0.1827 to the left of z, the corresponding z-value can be found using a standard normal distribution table or a statistical calculator. The z-value is approximately -0.90.

b. To find the z-value for an area between -z and z equal to 0.9830, we need to find the value that corresponds to (1 - 0.9830)/2 = 0.0085 in the upper tail of the standard normal distribution. Using the table or calculator, the z-value is approximately 2.17.

c. Similarly, for an area between -z and z equal to 0.2148, we find the value that corresponds to (1 - 0.2148)/2 = 0.3926 in the upper tail. The z-value is approximately 0.85.

d. For an area of 0.9997 to the left of z, we find the value that corresponds to 0.9997 in the upper tail. The z-value is approximately 3.49.

e. To find the z-value for an area to the right of z equal to 0.6847, we find the value that corresponds to 1 - 0.6847 = 0.3153 in the upper tail. The z-value is approximately -0.48.

In summary, the z-values for the given situations are approximate:

a. -0.90

b. 2.17

c. 0.85

d. 3.49

e. -0.48

These values can be used to determine the corresponding percentiles or probabilities for the standard normal distribution. The values are typically found using standard normal distribution tables or statistical calculators that provide the cumulative probability distribution function (CDF) for the standard normal distribution.

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Answer:   1. P= 12

Step-by-step explanation:

Answer:

A. The product of a positive integer and an irrational number is irrational.

Step-by-step explanation:

Which statement BEST explains why the number 5√2 is irrational.

Irrational numbers are numbers that cannot be expressed as the ratio of two integers i.e. it cannot be expressed in the form of a/b where a, b are integers and b ≠ 0.

Irrational numbers are neither terminating nor recurring. Examples of these numbers are π, √2, √5

The number 5√2 contains 5 an integer and √2 an irrational number. The product of a positive integer and an irrational number is irrational.

Let's check

So

Hence he is wrong

Answer:

6

Step-by-step explanation:

The main answer for the first argument is that we cannot prove that the band could play rock music based on the given premises and rules of inference.

1. Let's assign the following propositions:

  - P: The band could play rock music.

  - Q: The refreshments were delivered on time.

  - R: The New Year's party was canceled.

  - S: Alicia was angry.

  - T: Refunds were made.

2. The given premises can be expressed as:

  (¬P ∨ ¬Q) → (R ∧ S)

  R → T

3. To prove that the band could play rock music (P), we need to derive it using valid rules of inference.

4. Using the premises, we can apply the rule of modus tollens to the second premise:

  R → T        (Premise)

  Therefore, ¬R.

5. Next, we can use disjunctive syllogism on the first premise:

  (¬P ∨ ¬Q) → (R ∧ S)     (Premise)

  ¬R                    (From step 4)

  Therefore, ¬(¬P ∨ ¬Q).

6. Applying De Morgan's law to step 5, we get:

  ¬(¬P ∨ ¬Q)  ≡  (P ∧ Q)

7. Therefore, we can conclude that the band could play rock music (P) based on the premises and rules of inference.

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Answer:

1.6 to nearest tenth.

Step-by-step explanation:

This will be a line which is perpendicular to y = 3x + 5 and the line will also pass through the point (0,0).

Equation of that line:

Slope = -1/3  so we can write:

y - 0 = -1/3(x - 0)

So its y = -1/3 x,

The point where it intersects with  the given line is now found:

-1/3x = 3x + 5

10/3 x = -5

x = -5 *3/10 =  -1.5.

- and the y coordinate = 3(-1.5) + 5 = 0.5.

So the point is (-1.5, 0.5)

and the required distance = √((-1.5)^2 + 0.5^2)

=  1.58

= 1.6 to nearest tenth.

Therefore , the solution of the given problem of interest comes out to be

time = 3 years.

Simple interest is determined by summing the principal, interest rate, time frame, and other elements. The simple return is determined by dividing the principal by the interests rate along with the number of hours. The easiest way to calculate interest is with this formula. Interest is often determined as a percentage of a principal amount. He would only have to pay 50% of a 100% charge if he asked a buddy for a $100 loan and agreed to repay it with 5% interest. $100 (0.05) = $5. You should pay interest on the money you borrow, and you must add interest to any money you lend.

Here,

=>start * multiplier^t

=> multiplier = 1 + x % = 1.025

try n=1,

n=2,

n=3

So,

2800 *  1.025^n =3000

On comparing n=1,2,3

We get,

2800 *  1.025^3 = 3000

Thus , n=3 is the correct answer.

Therefore , the solution of the given problem of interest comes out to be

time = 3 years.

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Answer:

Create a table in your books in order to display the number of students in the classes on the grade 7 block. Grade 7M has 44 students, 7E has 43 students, 7A has 38 students, 7D has 45 students, 7O has 36 students, 7W has 41 students. Upload the picture of the table below by clicking on "Add file".

Answer:

None of his friends guessed correctly

Step-by-step explanation:

After solving the equation, y equals 52 marbles, so Nikos is the closest to guessing correctly.

Hope this helps!  :3

First, we need to convert 253 lb to kilograms. Given that 1 kg is equivalent to 2.205 lb, then:

The dosage Justin should receive is directly proportional to his weight. Given that a dosage of 11 mg corresponds to a weight of 20 kg, then to find the dosage that corresponds to 114.74 kg we can use the next proportion:

Solving for x:

He should receive a dosage of 63.1 mg

Harley and Rachael thus spend a total of 6 hours and 52.5 minutes, or 55/8 hours, at the shore (since 1 hour is equal to 60 minutes).

Find the greatest common factor between the fraction's divisor and numerator (HCF). Divide both the numerator and the quotient by HCF to get the smaller fraction. Write the full sum as well as the reduced part together.

We can find the amount of time Rachael spends at the beach by multiplying Harley's time by 3/8:

Rachael's time = (3/8) × Harley's time

Rachael's time = (3/8) × 5

Rachael's time = 15/8

So Rachael spends 15/8 hours at the beach.

To find the total amount of time that Harley and Rachael spend at the beach, we can add their individual times:

Total time = Harley's time + Rachael's time

Total time = 5 + 15/8

To add the two times, we need to convert 5 to a fraction with a denominator of 8:

Total time = 40/8 + 15/8

Total time = 55/8

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Answer:

False

Step-by-step explanation:

It's just false. I don't know how to explain but next it'd be 8:10, 12:15, and then 16:20, which never goes to 16:18 so it is false.

Answer:

its log 5 7/8

Step-by-step explanation:

While linear regression can be a useful tool for prediction, it is important to consider the quality of the data, assess the linearity assumption, and be cautious when extrapolating beyond the observed data range.

This is an example of using linear regression to predict the weight of a kitten at a specific time (10 weeks in this case) based on the given linear model ŷ = 1.7 + 1.48t.

Using linear regression to make predictions is a common practice and can provide reasonable estimates in many cases. However, whether it is considered a best practice for prediction depends on various factors. Here are a few considerations:

Data quality: The accuracy and reliability of the predictions heavily depend on the quality of the data used to build the linear model. If the data used for training the model is representative and accurately reflects the underlying relationship, the predictions are likely to be more reliable.

Linearity assumption: Linear regression assumes a linear relationship between the predictor variable (in this case, time) and the response variable (kitten weight). If the relationship is not truly linear, the predictions may be less accurate. It is important to assess the linearity assumption and consider alternative models if needed.

Extrapolation: When making predictions outside the range of the observed data (such as predicting the weight at 10 weeks when the data only goes up to 8 weeks), caution should be exercised. Extrapolating beyond the observed range can introduce more uncertainty and may lead to less accurate predictions.

In summary, while linear regression can be a useful tool for prediction, it is important to consider the quality of the data, assess the linearity assumption, and be cautious when extrapolating beyond the observed data range.

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To radix sort the given list of integers in base 10, we can perform multiple passes of counting sort based on the digits from right to left. Here's the step-by-step process:

First sort:

Original list: 483 525 582 143 645 522

Counting sort based on the least significant digit (unit place):

143 522 483 582 645 525

Second sort:

Original list: 143 522 483 582 645 525

Counting sort based on the tens place:

143 522 525 582 645 483

Third sort:

Original list: 143 522 525 582 645 483

Counting sort based on the hundreds place:

143 483 522 525 582 645

The final sorted list is: 143 483 522 525 582 645

The time complexity of Quick sort depends on the partitioning scheme and the initial ordering of the elements. In the worst case scenario, when the array is already sorted or contains equal elements, Quick sort has a time complexity of O(n^2). This is because in each recursive call, the pivot chosen will always be the smallest or largest element, resulting in uneven partitioning.

In the given array A = {12, 8, 7, 4, 2, 6, 11}, making a call to Partition(A, 1, 7) means partitioning the array from the first element to the seventh element. The resulting sequence of numbers in A after the partition operation will depend on the chosen pivot. Since the pivot index is not specified, it is not possible to determine the exact resulting sequence without knowing the pivot selection mechanism.

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Answer:

r = 12

Step-by-step explanation:

using the formula

d = 2 r

solving for r

r = d/2= 24/2=12

Answer:

It would be 12

Step-by-step explanation:

The radius is (Diameter / 2) which means the radius of 24 is 12.

(a) To find the probability that two randomly chosen people from this population are both type B, we multiply the probability of selecting one person with blood type B by the probability of selecting another person with blood type B. P(B) * P(B) = 0.10 * 0.10 = 0.01.

(b) To find the probability that neither of the two randomly chosen people is type B, we subtract the probability of selecting one person with blood type B from 1, and then multiply by the same probability for the second person. (1 - P(B)) * (1 - P(B)) = (1 - 0.10) * (1 - 0.10) = 0.90 * 0.90 = 0.81.

(c) To find the probability that two randomly chosen people have the same blood type, we add the probabilities of selecting two people with the same blood type for each blood type category: P(A)^2 + P(B)^2 + P(AB)^2 + P(O)^2 = 0.35^2 + 0.10^2 + 0.03^2 + 0.52^2 = 0.1222.

(d) To find the probability that at least one of the two randomly chosen people is type B, we subtract the probability of both people being non-type B from 1. 1 - [(1 - P(B))^2] = 1 - [(1 - 0.10)^2] = 1 - 0.81 = 0.19.

(e) To find the probability that at least one of the five randomly chosen people is type O, we subtract the probability of all people being non-type O from 1. 1 - [(1 - P(O))^5] = 1 - [(1 - 0.52)^5] = 1 - 0.48^5 = 1 - 0.077 = 0.923.

In summary, the probability that two randomly chosen people from the population are both type B is 0.01, the probability that neither of them is type B is 0.81, the probability that they have the same blood type is 0.1222, the probability that at least one of them is type B is 0.19, and the probability that at least one of five randomly chosen people is type O is 0.923.

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After calculating the given fractions, we have to find that Maggie is left $500 and therefore she saved $500.

Mathematically, a fraction is represented as a numerical value that identifies a portion of a whole. A fraction is a portion or section of any amount that makes up a whole, where a whole can be any number, a certain amount, or an object.

Use this example to help us understand this idea. Pizza is divided into 8 equal pieces in the following illustration. Now, if we want to express one particular piece of the pizza, we can do so by using the notation 1/8, which indicates that we are speaking of one piece out of a total of 8 equally sized pieces.

It means one in eight equally sized portions. It can also be read as follows:

1/8th, or 1 by 8

Given that Maggie has $960

She spends 1/4 of the money on a mountain bike that gives

⇒ 960 - (960 × 1/4)

⇒ 960 - 240

= $720

And the she uses 1/6 of the remainder on bicycle clothing and accessories that gives

⇒ 720 - (720 × 1/6)

⇒ 720 -  120

= $500

Thus, she is left $500 dollar and therefore she saved $500.

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With employees ranging in age from 40 to 30, 36 to 22, there is a 46-year age difference between them. The average difference between each age and the population's mean age is measured.

We employ the following formula to determine the variance of a population:

σ² = Σ(x - μ)² / N

σ² = Σ(x - μ)² / N

where:

σ² =  the population variance

Σ = the sum of

x = the value of each element in the population

μ = the population mean

N = the population size

First, we need to find the population mean:

μ = (40 + 30 + 36 + 22) / 4 = 32

Next, we calculate the sum of the squared deviations from the mean:

(40 - 32)² + (30 - 32)² + (36 - 32)² + (22 - 32)² = 64 + 4 + 16 + 100 = 184

Then, we divide the sum of squared deviations by the population size:

σ² = Σ(x - μ)² / N = 184 / 4 = 46

Therefore, the population variance is 46.

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Yes, there appears to be a statistically significant difference between the two population proportions.

The given interval for the difference between the two population proportions is (0.2344, 0.5700) as both lower limit (0.2344) and upper limit (0.5700) are positive values, it shows that the proportion of voters who favor the bill in County A is higher than the proportion of voters who favor the bill in County B.

The difference between the proportions of two population lies between (0.2344, 0.5700), which means that if we take the sample from the same population repeatedly and calculate the difference between the two sample proportions, then 95% of the time the sample proportion difference will lie within the calculated interval.

In addition to that, as the confidence interval does not contain zero, it is concluded that the difference between the proportions of voters who favor the bill in County A and County B is statistically significant.

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