I NEED HELP ASAPPP
Part A
() For the following figure, the value of zis
HU
45
T
Part B
Using the same figure, determine the value of y.
Choose the suitable option,
(b)
A 16 in.
B 64 in
8V2in.
42 in

Answer:

160

Step-by-step explanation:

All triangle measures add up to 180 and a line is 180 as well

180-70-90=20

So the measure of C is 20

Now we just need to take the measure of C away from 180

180-20=160

Answer:

Step-by-step explanation:

According to the Empirical Rule, about 99.7% of the data will lie within 3 standard deviations of the mean. Therefore, the correct answer is option C.

A statistical concept called the Empirical Rule, also referred to as the 68-95-99.7 Rule, gives an approximation of the distribution of data based on the standard deviation. In a normal distribution, this rule states that 99.7% of the data will lie within three standard deviations of the mean.

The data is symmetrically distributed about the mean in a normal distribution, with the majority of values concentrated close to the centre and decreasingly fewer values further out. The standard deviation calculates how widely the data are spread out from the mean.

According to the Empirical Rule, 68% of the data are within one standard deviation of the mean.

The data is within two standard deviations of the mean in almost 95% of the cases.

99.7% or thereabouts of the data

This rule offers a helpful framework for comprehending the distribution of data and spotting outliers. It shows that the vast majority of data points in a normal distribution will be within a few standard deviations of the mean and that extreme values are quite infrequent.

Understanding the Empirical Rule allows researchers, analysts, and statisticians to quickly determine the probability of witnessing data within a given range, draw conclusions about the population, and pinpoint data points that may need additional examination. It's crucial to remember that the Empirical Rule relies on the assumption of a normal distribution and might not apply to all data sets or distributions that deviate noticeably from normality.

Therefore, the correct answer is option C.

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The frequentist probability is objective, based on observed data, need large sample or long term frequency, and doesn't have prior knowledge.

Frequentist probability is a definition of probability that defines the probability of an event as the probability of an event being observed in a long-term or infinite experiment.

Frequentist probability is different from Bayesian probability in following points,

Thus, the statement are true for frequentist definition for the probability is doesn't have prior knowledge, need large sample, based on observed data, and objective.

Your question is incomplete, but it is general information about the frequentist definition of probability.

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Using translation concepts, the equations are given as follows:

a) \(y = \sqrt{16 - 4x^2}\)

b) \(y = 3\sqrt{16 - x^2}\)

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent function is:

\(y = \sqrt{16 - x^2}\)

In item a, when it is horizontally compressed by a factor of 2, it means that x -> 2x, hence:

\(y = \sqrt{16 - (2x)^2} = \sqrt{16 - 4x^2}\)

In item b, the transformations are given as follows:

Then:

\(y = 3\sqrt{16 -(-x)^2} = 3\sqrt{16 - x^2}\)

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The linear approximation of f(x) at x0 = π/4 is f(x) ≈ 0 + (3/2)(x - π/4)

To linearize the function f(x) = (1 - 4x)sin 3x about x0 = π/4, we can use the linear approximation formula.

The linear approximation formula states that the linear approximation of a function f(x) at x0 is given by:

f(x) ≈ f(x0) + f'(x0)(x-x0)

In our case, f(x0) = (1 - 4π/4)sin 3π/4 = 0 and f'(x0) = (1 - 4π/4)(3cos 3π/4) = 3/2.

Therefore, the linear approximation of f(x) at x0 = π/4 is given by:

f(x) ≈ 0 + (3/2)(x - π/4)

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The value of the exponent based on the information is 3. Therefore, 5³ = 35.

It should be noted that the exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

Based on the information given, it should be noted that this can be written as:

5^x = 125

5^x = 5³

Since the base is equal

x = 5.

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Solution:

Given:

The numbers are represented on the number line below;

The distance between the numbers can be gotten by moving from one number to the other counting the number of steps taken.

Hence,

Therefore, the distance between the numbers on the number line is 17.

Answer:

Step-by-step explanation:

5 and 4 mutually prime numbers, therefore we need to find their LCM.

Next time they will both exercise on the 20th days, which is January 20

Part a

The ratio of the number of adults to boys to girls visiting the zoo on Saturday was 7:9:3

Part b

The total number of visitors at the zoo on Saturday was 1083

Given,

The ratio of the number of adults to boys to girls visiting a zoo= 7:6:5

Consider the number of adults, boys and girls visiting the zoo was 7x, 6x and 5x respectively

Number of boys increased =50%

Number of girls decreased =40%

Increase in boys =\(6x+6x(\frac{50}{100})\)

\(=6x(1+\frac{50}{100}) \\=6x(1+0.5)\\=6x(1.5)\\=9x\)

Decrease in girls=\(5x-5x(\frac{40}{100})\)

\(=5x(1-\frac{40}{100})\)

=5x(1-0.4)

=5x(0.6)

=3x

The ratio of the number of adults to boys to girls visiting the zoo on Saturday = 7:9:3

Part b

Number of boys and girls visited on Friday =627

The ratio of the number of adults to boys to girls visiting a zoo= 7:6:5

Therefore,

6x+5x=627

11x=627

x=\(\frac{627}{11}\)

x=57

The ratio of the number of adults to boys to girls visiting the zoo on Saturday = 7:9:3

Then,

7x+9x+3x=19x

Substitute the value of x in the equation

19×57=1083

Hence, the total number of visitors at the zoo on Saturday=1083

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Answer:

not sure what you are asking.

Step-by-step explanation:

The addition of the expression \((-8-\frac{1}{4}p )+(\frac{5}{8}p-7 )\) is \(-15+\frac{3}{8}p\)

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Therefore, let's add the given linear expression as follows:

Hence,

\((-8-\frac{1}{4}p )+(\frac{5}{8}p-7 )\)

Hence, let's open the brackets of the expression as follows

\(-8-\frac{1}{4}p +\frac{5}{8}p-7\)

Combine like terms as follows;

\(-8-7-\frac{1}{4}p +\frac{5}{8}p\)

\(-15+\frac{-2p+5p}{8}\)

\(-15+\frac{3}{8}p\)

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Answer:

\(4^8\)

Step-by-step explanation:

Formula: \((a^b)^c = a^{bc}\)

Solve:

-Chetan K

After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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The slope of the linear regression equation for the given data is 4.7997, rounded to 4 decimal places. This means that for every additional year of experience, a person's salary is expected to increase by 4799.70 dollars.

The slope of a linear regression equation is calculated using the following formula: Slope = (Sum of (y-bar)(x-bar)) / (Sum of (x-bar)^2)

where y-bar is the mean of the dependent variable values and x-bar is the mean of the independent variable values.

So In this case, the sum of (y-bar)(x-bar) is 1215.20 and also the sum of (x-bar)^2 is 10.24. Therefore, the slope is 4.7997.

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A system of n number of linear equations in n unknowns has an many number of solutions if the coefficients of matrix is unique. The assertion is always accurate. The given statement is always true.

From the question, the given statement is:

A system of n linear equations in n unknowns has an endless number of solutions if the matrix of coefficients is unique. The assertion is always accurate.

The given statement is always true.

Consider the system of equations Ax = b. If A is single, there is no A-inverse. As a result, there is no one approach to solve the system. Then, there are still two options:

We can't tell which condition is right only examining the matrix [A b]. There exists an endless number of solutions if [A b] is equal to A's rank.

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Answer:

0.7744 = 77.44% probability of getting two good coils when two coils are randomly selected

Step-by-step explanation:

For each coil, there are only two possible outcomes. Either it is good, or it is not. Since the coil taken is replaced, the probability of choosing a good coil on a trial is independent of any other trial, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

88 out of 100 are good:

This means that \(\pi = \frac{88}{100} = 0.88\)

Find the probability of getting two good coils when two coils are randomly selected.

This is P(X = 2) when n = 2. So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 2) = C_{2,2}.(0.88)^{2}.(0.12)^{0} = 0.7744\)

0.7744 = 77.44% probability of getting two good coils when two coils are randomly selected

Answer:

2.15

Step-by-step explanation:

I will assume that "−1/4(−8.6)" is telling us to multiply (-8.6) times -(1/4):

(-1/4)*(-8.6)

= (8.6/4)

= 2.15

Answer:Answer:

The value of f(6) is, 18

Step-by-step explanation:

Given the function:

              .....[1]

We have to find the value of.

Put x = 6 in [1] we have;

⇒

⇒

Simplify:

Therefore, the value of f(6) is, 18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

we fill in where x is and make it 6

And I will use pemdas

f(6)=6^2÷3+6

f(6)=36÷3+6

f(6)=12+6

f(6)=18

Hopes this helps please mark brainliest

a) Let v be an arbitrary vector in Rm. Since AB = Im, we can write Bv = u for some u in Rn. Then, T(u) = Au = Av = v, which shows that T is surjective.

b) Let u and v be two arbitrary vectors in Rn such that T(u) = T(v). Then, Au = Av, so BAu = BAv. Since BA = In, this implies that u = v. Hence, T is injective.

Let v be an arbitrary vector in Rm. Since AB = Im, we can write Bv = u for some u in Rn. Then, T(u) = Au = Av = v, which shows that T is surjective.


Let u and v be two arbitrary vectors in Rn such that T(u) = T(v). Then, Au = Av, so BAu = BAv. Since BA = In, this implies that u = v. Hence, T is injective.

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since you didn't miss a zero here is the exact answer. I don't know if your teacher would prefer it rounded. I also don't like Brainly's equation thing especially with square roots and it's easier like this so here's my written work

if you need to round it tell me and I'll round it to 4 decimal places if you don't specify how many

Answer:

The practice field is 144 feet long.

Step-by-step explanation:

360 x 2/5 = 144

(You would multiply these numbers NOT divide!)

To check my math:

2/5 = 0.4

144/360 = 0.4

By doing the above check, I know the two equations are the same. By seeing this I can know that the answer is correct.

Answer:

Step-by-step explanation:This particular answer works out to be undefined because it is a straight line and there is no slope and no equation for it. I will show you how to work it out though so you will know how to do it with other problems. We will still be using the y = mx + b formula. First step is to find m. In order to find the slope we would use the equation:

m = (y2 - y1) / (x2 - x1) Note: The number behind the letter designates which x or y value you will use of the 2 (x, y) plots

m = (-5 - 2) / (3 - 3)

m = -7 / 0 Note: A number divided by 0 is undefined which means your slope is undefined

Since your slope is undefined your equation would be x = 3 because your x values are both 3.

Now let's assume your second (x, y) plot was actually (-3, -5).

m = (-5 - 2) / (-3 - 3)

m = -7 / - 6 Note: A negative divided by a negative is a positive. The negatives cancel each other out.

m = 7/6

Okay now back to our slope-intercept formula.

y = 7/6x + b

Now in order to figure out what b is, we will again take the plot point and plug the values into the equation. You can use either point because either way the answer will come out the same. In this case we will use (3, 2).

2 = 7/6(3) + b

2 = 21/6 + b Note: The easiest way to do the next part is to make the 2 into a fraction over 6

12/6 - 21/6 = b

-9/6 = b or -3/2

So now all we have to do is plug this value into our equation.

y = 7/6x - 3/2

The correct is option c) meridian. The measures of central tendency are used to describe the middle or typical value of a dataset. Mean, median, and mode are the most common measures of central tendency.

Mean is the arithmetic average of a set of values, median is the middle value in a set of values, and mode is the most frequently occurring value in a set of values. These measures are used to summarize the characteristics of a dataset in a single value. On the other hand, the term "meridian" does not refer to a measure of central tendency. It is a term used in geography and navigation to refer to a line of longitude on a map or globe.

In conclusion, meridian is not a measure of central tendency, and mean, median, and mode are commonly used measures of central tendency in statistics.

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The probability that at least one person received $20 is 0.3

In math the term called probability is defined as a number that reflects the chance or likelihood that a particular event will occur.

Here we know that two people are picked at random from a group of 50 and given $10 each.

Here we have also know that three people are picked from the same group - one or more people could have been picked both times - and given $10 each.

Then the probability is calculated based on the binomial distribution is written as,

=> P = (50 3) 10³ (1 - 10) ⁵⁻³

When we simplify this one then we get the value of p as 0.3.

Then the following values are calculated through it,

μ = 15

σ = 3.24

σ² = 10.5

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Answer:

4 hours

Step-by-step explanation:

(i assume that the 03:00 is a.m and not p.m)

23:00 is 11 pm, so 11 pm to 3 am would be 4 hours

Answer:

y = -8

Step-by-step explanation:

2y=-3x+20

2y=-3(12)+20

2y=-36+20

2y=-16

y=-8

Answer:

y = -8

Step-by-step explanation:

2y = -3x + 20

2y = -3(12) + 20

2y = -36 +20

2y = -16

y = -16/2

y = -8