I need help with this please help me

Answer:

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can vary from 0 to 1, with 0 being an impossibility and 1 denoting a certainty. For pupils in Class 10, probability is a crucial subject since it teaches all the fundamental ideas of the subject. One is the probability of every event in a sample space.

Probability of event to happen P(E) = Number of favourable outcomes/Total Number of outcomes

Three main categories of probability exist:

The first team will be a team of all males :

Total number of Outcomes = 13C6 = 1716

Number of favourable outcomes = 7C6 = 7

Probability that all member of the first team will be male is =

Number of favourable outcomes/Total number of Outcomes

= 7/1716

the second team is all females, given the first team is all males

Total number of Outcomes = 7C6= 7

Number of favourable outcomes = 1

the probability the second team is all females, given the first team is all males = (Number of favourable outcomes/Total number of Outcomes)

= 1/7.

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There is insufficient evidence to say that the population proportion has decreased from 28%.

"Information available from the question"

In the question:

The significance level, α =.01

The sample size, n = 1122

The number of success, x = 291

What are the null and alternative hypotheses?

Now, According to the question;

Let's know:

Significance Level:

The significance level is the area of the rejection region in the hypothesis test. The larger the significance level, the easier is to reject the null hypothesis. The most common significance level used is 5% but in cases where high precision is required significance level is reduced.

[tex]H_0[/tex] : p [tex]\geq[/tex] 0.28

[tex]H_\alpha[/tex] : p < 0.28

The significance level, α =.01

The sample size, n = 1122

The number of success, x = 291

So,

The sample proportion:

p(cap) = x/ n

          = 291/1122

         =  0.2594

Test Statistics:

z = [tex]\frac{p_c_a_p - p }{\sqrt{p\frac{(1-p)}{n} } }[/tex]

z = [tex]\frac{0.2594 - 0.28}{\sqrt{0.28\frac{(1-0.28)}{1122} } }[/tex]

z = -0.0206/0.0003396

z = -0.2591

Decision rule:

Reject the null if,

p- value [tex]\leq[/tex] [tex]\alpha[/tex]

We can use a z-distribution table, an online tool, or the following excel command to calculate the p-value using excel.

p - value = P(z <  -0.2591)

              = 0.79635

p - value ≈ 0.79635 > [tex]\alpha[/tex] = 0.01

Fail to reject the null.

Conclusion:

There is insufficient evidence to say that the population proportion has decreased from 28%.

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The sum of two interior angles other than the adjacent angle of extended length will be equal to the external angle of extended length thus m∠PQR will be 18°.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus. The identical endpoint of the two rays known as the vertex is referenced as an angle's sides.

In any triangle, the sum of two interior angles other than the adjacent angle of extended length will be equal to the external angle of extended length.

In the given triangle,

m∠PQR = m∠OPQ + m∠POQ

4x - 10 = x + 9 + x - 5

4x - 10 = 2x + 4

2x = 14

x = 7

So,

m∠PQR = 4(7) - 10 = 18°

Hence the measure of m∠PQR will be 18° for the given triangle.

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Answer:

Step-by-step explanation:

Your question

The solution for the given system of equation is (x,y,z) is = (0 , (3-4t) , t) .

In the question ,

it is given that the system of equations are ,

3x + 3y + 12z = 9

x + y + 4z = 3

2x + 5y + 20z = 15

-x + 2y + 8z = 6

we have to solve the equations for x, y , z.

writing the given equations in augmented matrix form ,

we get ,

[tex]\left[\begin{array}{ccc}3&3&12\\1&1&4\\2&5&20\\-1&2&8\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}9\\3\\15\\6\end{array}\right][/tex]

Applying the operation , R₁/3 ⇒ R₁

[tex]\left[\begin{array}{ccc}1&1&4\\1&1&4\\2&5&20\\-1&2&8\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}3\\3\\15\\6\end{array}\right][/tex]

Applying the row operation , R₂ - R₁ ⇒ R₂  .

[tex]\left[\begin{array}{ccc}1&1&4\\0&0&0\\2&5&20\\-1&2&8\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}3\\0\\15\\6\end{array}\right][/tex]

After applying more row operations , in the above matrix ,

to make the lower triangle matrix 0 ,

we get ,

[tex]\left[\begin{array}{ccc}1&0&0\\0&1&4\\0&0&0\\0&0&0\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}0\\3\\0\\0\end{array}\right][/tex]

The above result can be expressed as x = 0,

and y + 4z = 3 .

So , the system of equations have infinite solutions .

So , the solution x, y, and z expressed in terms of the parameter t is

(0 , (3-4t) , t)  .

Therefore , the solution is (x,y,z) is = (0 , (3-4t) , t) .

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The error step in the problem of finding an inverse is Step 4.  

What is an inverse function?

In relation to the original function f, the inverse function is denoted by the symbol [tex]f^{-1}[/tex], and both the original function's domain and its range are transformed into the inverse function's domain and range, respectively.

Given, based on the inverse function

Step 1: y = 6x - 11        (Given equation)

Step 2: x = 6y - 11       (Exchange of variables x and y with each other                 respectively)

Step 3: x + 11 = 6y      (Adding 11 on both sides)

Step 4: x/6 +11 = y      Error step ( because dividing both sides by 6 will give x/6 + 11/6 = y)

Hence, the error step in the problem of finding an inverse is Step 4.  

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The Probability of carcking the six digit code is 0.00139

What is Probability?

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

Solution:

We need to use Permutation to find total number of outcomes

6P6 = 6! = 6*5*4*3*2*1 = 720 outcomes

But only one outcome is correct

Probability is 1/720

Probability = 0.0013899 = 0.00139 (approx)

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The cost of the task, given the perimeter of the figure, and the cost of feets of fence, is $ 5.17

First, find the perimeter of the figure which is just the distance around the shape:

= 4 + 2 + 6 + 3

= 15 cm

The fence needs 5 % more :

= 15 x ( 1 + 5%)

= 15.75 cm

This distance in feet is :

= 15 . 75 / 30.48 cm per feet

= 0. 5167 feet

The cost of the task is therefore:

= 0. 5167 x 30 / 3 feet

= $ 5.17

In conclusion, the cost of the entire task after accounting for the various costs, is $ 5.17.

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The option that would be an appropriate procedure for this experiment is option A) The doctor needs to randomly assign 15 patients to the new medication and 15 to the original medication to even out the variability between the patients.

Random assignment is seen as a method of assigning participants from your sample to various groups in experimental research by using randomization. By using this technique, each sample member has a known or equal chance of being assigned to either the control group or the experimental group.

Note that with the goal of making the groups equal at the start of the study, random assignment is a method used in experiments to divide participants into multiple study groups that include those who share similar traits.

Therefore, in regards to the work of the doctor in the above case, any observed differences in the two groups' cholesterol levels would most likely be brought on by the new medication because the subjects' variability would be evenly distributed between the two groups. Hence option A is correct.

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Answer:

x-24 > 9

x >33

it should be greater than or equal sign

Answer:

Before we declare what happens, we must have an understanding of outliers and standard deviation. Outliers are certain points that are x deviations away from the mean. Standard deviation is a measurement of dispersion in relations to the mean you are identifying. Given this information, when outliers are removed, the standard deviation becomes a lower amount, because you have to think of standard deviation as a population measurement in a way. So imagine the outliers are a prestigious group of people, and if they leave the community, the population is indeed lower. Outliers affect deviation by a measure of extremity. The more extreme an outlier, the more or less a standard deviation will be affected. When outliers are removed, they will lower the standard deviation, which changes the data in respect to population. A high outlier, however, will increase both mean and median no matter what.

Hope this helps!

The period is the time interval after curves repeat their behavior thus time period of the given curve will be 4.

The graph is a geometrical representation of a function and can be plotted by taking x's and y's corresponding values within the interval.

For example plot of y = x³ ,y = sinx.

As per the given graph of a function,

The time period is the time interval after curves repeat their behavior.

The given graph repeats after 1 + 1 + 1 + 1 = 4 thus period will be 4.

Hence "The period is the time interval after curves repeat their behavior thus time period of the given curve will be 4".

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The sphere with 16 inches diameter would hold 2144in^3 of air.

A sphere is a three-dimensional object that is round in shape. The sphere is defined in three axes, i.e., x-axis, y-axis and z-axis. This is the main difference between circle and sphere. A sphere does not have any edges or vertices, like other 3D shapes.

The points on the surface of the sphere are equidistant from the center. Hence, the distance between the center and the surface of the sphere are equal at any point.

The radius of spere = diameter / 2 which is 16/2

radius = 8 inches.

The volume(V) of a sphere is 4/3 πr^3

where r = radius of sphere,  π = constant = 3.14

V = 4/3 x 3.14 x (8)^3

V = 2144 in^3

In conclusion the sphere can hold 2144in^3 of air

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The fraction 2/5 added by 3/4 will be 1 3/20.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers. On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.

The fraction will be illustrated thus:

=✓2/5 + 3/4

= 8/20 + 15/20

= 23/20

= 1 3/20

The value is 1 3/20.

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Answer:

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

Simplify the equation by distribution, then substitute the value of d and solve for c:

To get 80% percentage you need to attempt 20 question

In mathematics, a percentage (from Latin: per centum, "by a hundred") is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%",although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number (pure number); it has no unit of measurement.

For example, 45% (read as "forty-five per cent") is equal to the fraction

45/100, the ratio 45:55 (or 45:100 when comparing to the total rather than the other portion), or 0.45. Percentages are often used to express a proportionate part of a total.

now we need to find  80% of a 25 question test

80% of 25 can be written as 80% × 25

= 80/100 × 25

= 20

To get 80% you need to attempt 20 question

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The weight of clothing is the ratio of weight to dye is different from the other ratios is B. 42 pounds.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

It should be noted that from the information given, others have a ratio of 1:7. This is different for 42 pounds since the ratio is:

= 42/9

= 14:3

In conclusion, the correct option is B.

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Answer:

55.13 I'm sure is the answer

There are 714 women out of the total 1295 students:

    [tex]\dfrac{714}{1295}\approx0.551351351351351[/tex]

About 55.14% of the students are women.

The average daily balance on the June 5 bill is $1,037.32, including the finance charge.

The average daily balance is the total balance divided by the number of days in the billing cycle.

May has a 31-day billing cycle.

The average daily balance determines the finance charge, which is a product of the monthly interest rate (MPR) and the ending average daily balance.

                                                       Daily Balance

May 5 Credit card balance $939    $11,260 ($939 x 12)

May 17 Purchase                    216     $4,620 ($1,155 x 4)

May 20 Payment                  -100   $15,825 ($1,055 x 15)

Total daily balances                       $31,705

Average daily balance                   $1,023 ($31,705 ÷ 31)

Interest rate per month = 1.4%

Finance charge for the month = $14.32 ($1,023 x 1.4%)

June 5 balance = $1,037.32 ($1,023 + $14.32)

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Answer:

true

Step-by-step explanation:

the author compares the color of the water to the color of the sky. so that makes it figurative language.

hope this helps.

Since the upper value is 104.75 + 1.5 * 13.75 = 125.37500, the last observation, 130, is an outlier.

A collection of information, whether numerical or not, can take any shape and is referred to as data in mathematics. Calculable information, such as student test scores, employee salaries, football team member heights, etc., is known as numerical data and is always gathered in numerical form.

here the explanation,

Five points in brief

Min=91, Q1=94, Q2=99, and Q3=104.75, with a maximum of 130 B] Outlier values are those that are either below or above Q1-1.5*IQR (IQR = Q3-Q1=104.75-91=13.75).

Reduced value: 94-1.5*13.75 = 73.37500

Since the upper value is 104.75 + 1.5 * 13.75 = 125.37500, the last observation, 130, is an outlier.

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The greatest common factor of 4, 8 and 12 is 4

The first number = 4

The second number = 8

The third number = 12

The GCF is stands for greatest common factor.

To find the greatest common factor use the prime factorization method

Prime factorization

Factorize the number 4 = 2 × 2

Factorize the number 8 = 2 × 2 × 2

Factorize the number 12 = 2 × 2 × 3

Here we have to take the common terms from the prime factorization

The greatest common factor = 2 × 2

Multiply the number

= 4

Therefore, the greatest common factor is 4

I have solved the question in general,  as the given question is incomplete

The complete question is:

What is the GCF of 4 and 8 and 12?

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The value of x for which the parallelogram and a triangle have the same area is 6 cm.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the area of a triangle is (1/2)×base×height.

We also know the area of a parallelogram is base×hright.

∴  The values of 'x' for which the parallelogram and a triangle have the same area is,

x×(x + 4) = (1/2)×x×20.

x²  4x = 10x.

x² = 6x.

x = 6.

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The population of the country in 2003 is, 368.3 million.

What is population?

The term "population" refers to all citizens who are either permanently residing in a nation or are only temporarily absent from it. This indicator displays the population of a given area on a regular basis. Growth rates are the yearly changes in population brought on by births, deaths, and net migration.

Given:

The exponential model a = 368.3e^0.002t describes the population,

'a' is the population of a country in millions,

t years after 2003.

We have to find the population of country in 2003.

At 2003, t = 0.

So plug t = 0 in above exponential model.

a = 368.3e^0.002(0)

a = 368.3e^0

a = 368.3

Hence, the population of the country in 2003 is, 368.3 million.

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We are given the following data set:

10, 12,20, 15,17,10, 28,35, 28, 19,27, 25,22, 33, 37,14,21,20

Standard deviation = 8.043

Confidence level = 1 - Significance Level = 1 - 99.74% = 4.56% = 0.0456

The total shipment amount of $ 33,066 must be paid back in order to receive a cash reimbursement for the $20,040 in goods that were returned.

When describing a singular noun that CANNOT be measured, you should use the word amount. – When discussing a singular, plural, or countable noun, the word number should be used. – Any single or plural noun that can be counted or measured should be referred to as having a certain quantity.

1/10 n (unclear) indicates that the consumer settled their debts within 10 days and was entitled to a 1% sales discount.

Therefore, the consumer should receive a refund equal to what they paid, which is 1% less than the total amount.

Using that as a basis, the calculation is,

Amount owed * (1-discount rate)

= $ 33,400 * ( 1 - 0.01)

= $ 33,066

$ 33,066 is is the sum that must be reimbursed.

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The correct option is (d) i.e; MD = 3 with s2 = 20 for the difference scores because it generates a repeated-measures study's population mean difference with the widest 90% confidence interval.

Given that,

Which of the following will result in the widest 90% confidence interval for the population mean difference for a repeated-measures research, provided the sample size is kept constant?

MD = 3 with s2 = 20 for the difference scores.

Therefore, the correct choice is MD = 3 with s2 = 20 for the difference scores because it produces the widest 90% confidence interval for the population mean difference for a repeated-measures study.

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The function that is represented on the given graph is;

y = arccos x

We know in trigonometry that sine and cosine are expressed as;

cos 0 = 1

cos (π/2) = 0

cos π = -1

cos (π/4) = 0.7071

sin 0 = 0

sin (π/2) = 1

sin π = 0

sin (π/4) = 0.7071

Looking at the graph attached, we see that when x = 1, y = 0 and from earlier we saw that cos 0 = 1.

Similarly, on the graph, when x = 0, y = π/2 which fits with cos  (π/2) = 0. Thus, it is clear that the graph is the inverse of cosine which is arc cos x

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Answer:

24 / 16

Step-by-step explanation:

divide and do the thing

After solving, the regular singular points are x=0, 5i, -5i.

We have to determine the singular points of the given differential equation. Classify each singular point as regular or irregular.

(x^3+25x)y"–5xy'+6y = 0

On comparing with the equation P(x)y''+Q(x)y'+R(x)y=0

P(x) = (x^3+25x)

P(x)=0

x^3+25x = 0

x=0, 5i, –5i be the singular point.

Now write equation 1 in the standard form

Divide by x^3+25x on both side, we get;

y"–5x/(x^3+25x) y'+6/(x^3+25x) y = 0

y"–5/(x^2+25) y'+6/x(x^2+25) y = 0

Comparing with the standard form of equation;

y''+P(x)y'+Q(x)y = 0

P(x) = –5/(x^2+25)      Q(x)=6/x(x^2+25)

We know that if [tex]\lim_{x \to x_{o}}(x-x_{o})p(x)\text{ and }\lim_{x \to x_{o}}(x-x_{o})^2q(x)[/tex] exist finite. Then the singular point [tex]x_{o}[/tex] is regular singular point else irregular singular point.

(a) At [tex]x_{o}[/tex]=0

[tex]\lim_{x \to 0}(x-0)p(x)=\lim_{x \to 0}\frac{-5x}{x^2+25}[/tex]

[tex]\lim_{x \to 0}(x-0)p(x)[/tex] = 0 (Finite)

[tex]\lim_{x \to 0}(x-0)^2p(x)=\lim_{x \to 0}\frac{6x^2}{x(x^2+25)}[/tex]

[tex]\lim_{x \to 0}(x-0)^2p(x)=\lim_{x \to 0}\frac{6x}{(x^2+25)}[/tex]

[tex]\lim_{x \to 0}(x-0)p(x)[/tex] = 0 (Finite)

So x=0 is a regular singular point.

(b) At [tex]x_{o}[/tex]=5i

[tex]\lim_{x \to 5i}(x-5i)p(x)=\lim_{x \to 5i}\frac{-5(x-5i)}{(x+5i)(x-5i)}[/tex]

[tex]\lim_{x \to 5i}(x-5i)p(x)=\lim_{x \to 5i}\frac{-5}{(x+5i)}[/tex]

[tex]\lim_{x \to 5i}(x-5i)p(x)[/tex] = -1/i (Finite)

[tex]\lim_{x \to 5i}(x-5i)p(x)=\lim_{x \to 5i}\frac{6(x-5i)^2}{x(x+5i)(x-5i)}[/tex]

[tex]\lim_{x \to 5i}(x-5i)p(x)=\lim_{x \to 5i}\frac{6(x-5i)}{x(x+5i)}[/tex]

[tex]\lim_{x \to 5i}(x-5i)p(x)[/tex] = 0 (Finite)

So x=5i is a regular singular point.

(c) At [tex]x_{o}[/tex]=-5i

[tex]\lim_{x \to -5i}(x+5i)p(x)=\lim_{x \to -5i}\frac{-5(x+5i)}{(x+5i)(x-5i)}[/tex]

[tex]\lim_{x \to -5i}(x+5i)p(x)=\lim_{x \to -5i}\frac{-5}{(x-5i)}[/tex]

[tex]\lim_{x \to -5i}(x+5i)p(x)[/tex] = 1/i (Finite)

[tex]\lim_{x \to -5i}(x+5i)p(x)=\lim_{x \to -5i}\frac{6(x+5i)^2}{x(x+5i)(x-5i)}[/tex]

[tex]\lim_{x \to -5i}(x+5i)p(x)=\lim_{x \to -5i}\frac{6(x+5i)}{x(x-5i)}[/tex]

[tex]\lim_{x \to -5i}(x+5i)p(x)[/tex] = 0 (Finite)

So x=-5i is a regular singular point.

Hence, the regular singular points are x=0, 5i, -5i.

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