Can someone please explain this question. Please give a step by step explanation

Answer:

x = 3

CD = 21

CE = 21

DE = 16

Step-by-step explanation:

Isosceles triangle is a triangle in which two sides have the same length.

Triangle CDE with ∠D = ∠E so DE is the base

then CD = CE

4x + 9 = 16x - 27

16x - 4x = 9 + 27

12x = 36

x = 3

CD = 4x + 9 = 4(3) + 9 = 21

CE = 16x - 27 = 16(3) - 27 = 21

DE = 7x - 5 = 7(3) - 5 = 16

Answer:

f(18)=334

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.   9

2. 32

3. 813

4. 264

5. 169

Answer:

y = 5

Step-by-step explanation:

3y - 2 = 13

We are solving for y, so we want to isolate it.

Add 2 to both sides.

3y = 15

Continue isolating y by dividing both sides by 3.

y = 5

Check your answer by plugging it back into the original equation.

3y - 2 = 13

3(5) - 2 = 13

Multiply.

15 - 2 = 13

Subtract.

13 = 13

Your answer is correct.

Hope this helps!

Answer:

y = 5

Step-by-step explanation:

Get y by itself:

3y - 2 = 13

     +2    +2

3y = 15

Divide by 3:

3y = 13

÷ 3    ÷ 3

y = 5

The rate of increase of the depth of the water (W(t)) is constant.

What is rate ?

In mathematics and physics, the rate is a measure of change of a certain quantity with respect to another quantity. The rate can be a number, a ratio or a derivative. It is often represented by the symbol "d" or "dx/dt" or "dy/dt" and it measures how fast a quantity is changing.

Water is poured into the top half of a spherical tank at a constant rate, this means that the rate of increase of the depth of the water (W(t)) is constant.

In this case, W(t) is constant.

It is important to keep in mind that the rate of change of the function doesn't indicate the shape of the function, it just tells us the change of the dependent variable with respect to the independent variable. The shape of the function can be visualized by creating a graph of the function.

So , The rate of increase of the depth of the water (W(t)) is constant.

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If cholesterol level were changed to being measured in grams instead of milligrams, the correlation between fat content and cholesterol level would not be affected.

This is because correlation is a measure of the strength and direction of the linear relationship between two variables, and converting the units of measurement does not change the underlying relationship between the variables. So, the correlation coefficient of 0.75 would remain the same whether cholesterol level is measured in milligrams or grams.

The correlation between fat content and cholesterol level for the 20 different brands of American cheese slices is 0.75. If you change the measurement of cholesterol level from milligrams to grams (1 gram = 1000 milligrams), it will not affect the correlation. The correlation coefficient will remain 0.75, as it is unit-less and only represents the strength and direction of the relationship between the two variables.

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The general solution to the differential equation y" + 3y' - 18y = 0 is y(x) = c1e^(3x) + c2e^(-6x), where c1 and c2 are constants

To find the general solution to the given differential equation y" + 3y' - 18y = 0, we can first find the characteristic equation by assuming that y has an exponential form, y = e^(rx), where r is a constant.

Differentiating y with respect to x, we have y' = re^(rx) and y" = r^2e^(rx). Substituting these expressions into the differential equation, we get:

r^2e^(rx) + 3re^(rx) - 18e^(rx) = 0

Factoring out e^(rx), we obtain the characteristic equation:

r^2 + 3r - 18 = 0

Solving this quadratic equation, we find the roots r1 = 3 and r2 = -6.

The general solution to the differential equation is then given by:

y(x) = c1e^(3x) + c2e^(-6x)

where c1 and c2 are arbitrary constants that can be determined based on initial conditions or additional information about the specific problem.

In summary, the general solution to the differential equation y" + 3y' - 18y = 0 is y(x) = c1e^(3x) + c2e^(-6x), where c1 and c2 are constants.

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Given :

Distance covered by object , D = 63 cm .

Time taken to cover distance D , t = 2 days .

To Find :

The speed of object in m/s .

Solution :

First we will convert all units into m and hours .

D = 63 cm = 0.63 m .

\(t=2\ days =2\times 24\ hours =48\ hours\) .

Now , speed is :

\(s=\dfrac{D}{t}\\\\s=\dfrac{0.63}{48}\ m/hours\\\\s=0.013\ m/hours\)

Hence , this is the required solution .

Answer:63

Step-by-step explanation:

Answer:

10 square centimeters

Step-by-step explanation:

The insides of this square is now made up of a 2 by 2 square in the center, surrounded by 4 triangles with bases of 3 units and heights of 1 unit. The formula for the area of a triangle is bh/2, which means that each triangle had an area of 1.5. Multiplying this by 4 and adding the area of the central square, you get a total area of 4+6=10. Hope this helps!

Omar's time rounded to the nearest hundredth of a second is equal to 9.85 seconds.

In Mathematics, a place value can be defined as a numerical value (number) which denotes a digit based on its position in a given number and it includes the following:

Generally speaking, the place value of the digit "4" is hundredth and as such, we would round it up to 5 because it is followed by the number 6:

Time = 9.846 ≈ 9.85 seconds.

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Answer:

16 is the answer ....................

Answer:

9 i guess

Step-by-step explanation:

The correct conclusion is:

"The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches."

Given,

At a huge institution, a doctor is determining the typical height of the male students.

Inches are used to measure the heights of a sample of 40 male baseball team players.

The doctor computes the 95% confidence interval using this information (63.5, 74.4).

The following conclusions is valid:

"The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches."

We can guarantee that the target variable will be within the confidence interval for a given confidence level since we know the confidence interval reflects an interval.

The true mean of heights for male students at the college where the doctor measured heights is represented by the provided case's confidence level of 95% and confidence interval of (63.5, 74.4).

The doctor is therefore 95% certain that the range of the mean height of male students at the college is valid (63.5, 74.4).

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There are 5 * 5 = 25 possible arrangements. Some examples include aa, bb, cc, dd, ee, ab, ac, ad, ae, ba, bb, bc, bd, be, and so on.

a. Choosing 2 objects at a time without repetition and with order counting: The ordered arrangements of 5 objects (a, b, c, d, e) taken 2 at a time without repetition and with order counting are: ab, ac, ad, ae,

ba, bc, bd, be,

ca, cb, cd, ce,

da, db, dc, de,

ea, eb, ec, ed.

b. Choosing 2 objects at a time without repetition and without order counting: The unordered arrangements of 5 objects (a, b, c, d, e) taken 2 at a time without repetition and without order counting are: ab, ac, ad, ae,

bc, bd, be,

cd, ce,

de.

c.Choosing 2 objects at a time with repetition: In this case, we can choose any of the 5 objects for the first position, and any of the 5 objects (including repetition) for the second position.

Therefore, there are 5 * 5 = 25 possible arrangements. Some examples include aa, bb, cc, dd, ee, ab, ac, ad, ae, ba, bb, bc, bd, be, and so on.

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Answer:

Step-by-step explanation:

First, let's do the easy part of finding the mean.

we have 5 integers so we add everything in our set and divide by 5.

9+7+7+7+0 = 30 now we shouldn't forget to divide by 5 and 30/5 = 6

The mean is 6 and we rule out options A and C.

The standard deviation is found by doing the following steps:

1. Get the mean of the set (6)

2. subtract each number in the set from the mean and then square the result.

(6-9)^2 = 9

(6-7)^2 = 1

(6-7)^2 = 1

(6-7)^2 = 1

(6-0)^2=36

3. Now, find the mean of the numbers we just got.

9+1+1+1+36 = 48 Now we divide by 5 because of the number of digits in our set. 48/5 = 9.6

4. Finally, we square root 9.6 and we get about 3.1.

The answer is D.

Answer:

It is D             that is the answer

Answer::

Step-by-step explanation:

This means the 68% confidence interval would be between 97 and 103.

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.

Based on the margin of error and sample size, the confidence level calculator calculates the confidence level. The degree of certainty that the parameter's true value will fall inside the confidence interval is known as the confidence level. Typically, researchers aim for a confidence level of 0.95.

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Answer:

let the time be "x" minutes for both

after x minutes,

the first pool will have 1660l + 30.75x

and the second pool will have 1900+ 23.25x

note: both pool Will have equal volume of water

1660+ 30.75x=1900+23.25x

30.75x-23.25x= 1900-1660

7.5x=240

x = 240/7.5

x= 40minutes

Determined by various factors such as sample size, statistical significance, and the chosen level of confidence. the probability that the test will fail to decide that the true value is 72.5 when it is indeed 72.5.  

In order to calculate the probability of a Type II error, one would need to know the specific details of the test being used, such as the sample size, the statistical power of the test, and the chosen level of significance.

In general, the probability of a Type II error increases as the sample size decreases and the level of significance decreases. This means that if the test being used is not sufficiently powered or if the level of confidence is too low, there is a higher probability of failing to detect a true effect.

If the test is not able to accurately determine if the statement is true or not when the actual value is 72.5, then there is a possibility that a Type II error has occurred. The probability of this error depends on the specific details of the test being used and cannot be determined without further information.

The probability of a test failing to decide a certain hypothesis is true, when it is actually true, can be determined using the concept of Type II error or false negative rate. In statistical hypothesis testing, Type II error (β) refers to the probability of failing to reject a false null hypothesis. These factors influence the power of the test, which is the probability of correctly rejecting the null hypothesis when it is false. The power of the test (1 - β) is complementary to the probability of making a Type II error.

In this case, the null hypothesis (H0) could be that the value is not equal to 72.5,

while the alternative hypothesis (H1) states that the value is equal to 72.5.

The probability you are looking for is the Type II error rate when the true value is 72.5.

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By using the quadratic formula, the solution to this quadratic equation is equal to -0.5251 or -3.8081.

In Mathematics, a quadratic equation can be defined as a mathematical expression that can be used to define and represent the relationship that exists between two or more variable on a graph. In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

Mathematically, the quadratic formula is modeled or represented by this mathematical expression:

\(x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}\)

From the information provided, we have the following values;

3x² + 13x + 4 = 0

Where:

a = 3

b = 13

c = 4

Substituting the values into the quadratic formula, we have the following;

\(x = \frac{-(13)\; \pm \;\sqrt{(13)^2 - 4(3)(13)}}{2(3)}\\\\x = \frac{-13\; \pm \;\sqrt{169 - 72}}{6}\)

x = (-13 + √97)/6

x = -0.5251 or -3.8081.

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Answer:

Step-by-step explanation:

    a) Diameter = 2.1 m

                      r = 2.1 ÷ 2 = 1.05 m

            Area   = πr²

                       = 3.14 * 1.05 * 1.05

                      = 3.46 = 3.5 m²

    b) To find the number of paint tins, divide the area of table top by 1.75 m²

     Number of tins =  3.5 ÷ 1.75

                               = 2 tins

c) Cost of 1 tin = $ 5.50

   Cost of 2 tin = 2 *5.50

                        = $ 11

\(\sf d) Cost\ of \ labour = \dfrac{2}{3} * 11\)

                         = $ 7.30

Answer:

a=3.46 (2dp)   b(ii)=2  

Step-by-step explanation:

a)

πr²=area

2.1/2 = 1.05 as the radius

1.05² x π= 3.46 (2dp)

b)

3.46/1.75= 1.98

1.98 can be changed into two

∴ 2 tins will be needed

Answer:

enlargement

Step-by-step explanation:

if scale factor > 1 then enlargement

if scale factor 0 < SF < 1 then reduction

here SF = \(\frac{6}{5}\) = 1.2 > 1 so enlargement

Answer:

Enlargement

Step-by-step explanation:

Due to the scale factor properties stating that a SF value must be more than one to become an enlargement factor, we know that 6/5 is more than one whole. Thus, the SF is enlargement.

Comparison of Enrollments in Vocational and Theoretical Courses in India

States: Uttar Pradesh and Maharashtra

In Uttar Pradesh, there were more male enrollments in vocational courses than female enrollments in all years. The difference was more pronounced in the early years, but it has narrowed over time. In 2010, there were 2.5 times more male enrollments in vocational courses than female enrollments. By 2020, the ratio had decreased to 1.75.

In Maharashtra, the difference between male and female enrollments in vocational courses was smaller than in Uttar Pradesh. In 2010, there were 1.5 times more male enrollments in vocational courses than female enrollments. By 2020, the ratio had decreased to 1.25.

Age

In Uttar Pradesh, the majority of enrollments in vocational courses were from the 15-29 age group. In Maharashtra, the majority of enrollments in vocational courses were also from the 15-29 age group.

The data also shows that there are some differences in the enrollment patterns between the two states. In Uttar Pradesh, the majority of enrollments are from the 15-29 age group, and the most popular vocational courses are in the areas of IT, engineering, and healthcare. In Maharashtra, the majority of enrollments are also from the 15-29 age group, but the most popular vocational courses are in the areas of IT, hospitality, and manufacturing.

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x     4      3     2      1

f      3      5     4      2

Total number of scores in table are ∈ f =  3 + 5 + 4 + 2 = 14

According to the question, given that

x     4      3     2      1

f      3      5     4      2

Total number of scores are ∈ f =  3 + 5 + 4 + 2 = 14

Therefore, after sum of score we get total number of scores is 14

The average or computed center value of a group of values is known as the mean, and it is used to determine the central tendency of the data. The entire collection of data or distribution is identified by a single number using the statistical metric known as central tendency.

We can use the direct technique, the assumed mean method, or the step deviation method to determine the mean of grouped data. The frequency of several observations or variables that are combined together is the subject of the mean of grouped data. Let's examine each of these approaches in turn.

Direct Method

The direct approach is the most straightforward way to determine the mean of the grouped data. The mean of the data is given by, if the values of the observations are x1, x2, x3, and x4 and their associated frequencies are f1, f2, f3, and f4, respectively.

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The linear equation with integer slope representing the situation is

p = 5441 t

An algebraic description of a set of points in a coordinate system that form a line is a line equation. A line's numerous points on the coordinate axis are represented as a set of parameters x, y in order to create an algebraic equation known as a line equation. Each line's equation can be used to determine whether or not a given point is on the lines.

The equation of Line is, in fact, a one-degree linear equation.

Population in 1990 = 123000

Population in 2007 = 215500

Difference in population = 215500-123000 = 92500

Rate (slope ) of change of the population

= 92500÷17

= 5441.176 ...

≈ 5441

Hence the linear equation with integer slope to represent the population growth is given by p = 5441 t .

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Answer:

x= -9

Step-by-step explanation:

=-9 hope this helped.

Answer:

-12k+24

Step-by-step explanation:

-8k+24-4k

collect like terms

-12k+24

Answer:

C

Step-by-step explanation:

Multiply -4 ×2k ×-6k-6=

-8k + 24 - 4k =

-12k ÷ 24 is C

The expression, (5 > 57 % 8), evaluates to false.

To determine if the expression (5 > 57 % 8) evaluates to true or false, we need to first calculate the value of 57 % 8.

Step 1: Calculate 57 % 8, which represents the remainder when 57 is divided by 8.
57 % 8 = 1

Step 2: Compare 5 and the result from Step 1 using the '>' operator.
5 > 1

Step 3: Determine if the comparison in Step 2 is true or false.
Since 5 is greater than 1, the expression evaluates to true.

So, the expression (5 > 57 % 8) evaluates to true.

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Answer:

Step-by-step explanation:

subtract 160 from both sides, you get -178, 2d divided by -178 is -89 so you get d=-89.

Answer:

d = -89

Step-by-step explanation:

2d + 160 = -18

Isolate the variable, d. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 160 from both sides:

2d + 160 (-160) = -18 (-160)

2d = -18 - 160

2d = -178

Divide 2 from both sides:

(2d)/2 = (-178)/2

d = -178/2

d = -89

d = -89 is your answer.

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