[tex]\int\limits^a_b {\frac{1}{xln(x)} } \, dx[/tex]

Answer:

A=25% B=75%

Step-by-step explanation:

So first lets make a sample space. (Im using red, blue, green, and yellow)

rr, rb, rg, ry

br, bb, bg, by

gr, gb, gg, gy

yr, yb, yg, yy

So for A its 4/16 or 1/4=25%

For B its 12/16=3/4=75%

Answer:

6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

7(14 - 8) - 6²

Step 2: Evaluate

Answer:

11

Step-by-step explanation:

because they empty 6 bags and there are 5 bags left to that is 11 all together

The total number of bags of leaves b is given by the equation b = 11 bags

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the total number of bags be = b

The number of bags emptied by Cora's brother = 6 bags

The number of bags left with Cora = 5 bags

So , the equation will be

The total number of bags b = number of bags emptied by Cora's brother + number of bags left with Cora

Substituting the values in the equation , we get

The total number of bags b = 6 + 5

The total number of bags b = 11 bags

Therefore , the value of A is 11 bags

Hence , the number of bags of leaves is 11 bags

To learn more about equations click :

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Angle S and angle R are supplementary angles and need to add together to equal 180 degrees.

This means angle r = 180-145 = 35 degrees.

36x -1 = 35

Add 1 to both sides:

36x = 36

Divide both sides by 36

X = 1

Answer:

Work attached below :D

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Perhaps you're stuck because it is too simple. If any value in the x-column is repeated, the relation is not a function.

Of the two relations shown, the first is not a function (x=3 is repeated), and the second one is a function (all the x-values are different).

9514 1404 393

Answer:

  3.0

Step-by-step explanation:

The angle, its opposite side, and the hypotenuse are given. Then the relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(21°) = x/8.3 . . . . . . . . . . . . . . . . . . use the given values

  x = 8.3·sin(21°) ≈ 8.3×0.3584 . . . . . . multiply by 8.3

  x ≈ 3.0

9514 1404 393

Answer:

  140°

Step-by-step explanation:

Angles 1 and 3 are "corresponding" angles, so are congruent.

  ∠1 = ∠3

  20x +60 = 30x +20

  40 = 10x . . . . . . . . . . . . subtract 20x+20

  4 = x . . . . . . . . . . . . . . divide by 10

  ∠1 = 20x +60 = 20(4) +60 = 80 +60

  ∠1 = 140°

Answer:

140°

Step-by-step explanation:

Angle 1 and angle 3 are corresponding angles ;

Corresponding angles are equal ;

Hence,

Angle 1 = Angle 3

20x + 60 = 30x + 20

Collect like terms

20x - 30x = 20 - 60

-10x = - 40

x = 4

Angle 1 is thus :

20x + 60 ; x = 4

20(4) + 60

80 + 60

= 140°

Answers:

x = 51

y = 39

===========================================================

Explanation:

The angles 39 and x form a right angle, aka 90 degree angle. This is shown by the small square angle marker.

One equation to solve is x+39 = 90. Doing so leads to x = 51 after subtracting 39 from both sides.

Similarly, another equation to solve is x+y = 90. Plug in x = 51 and isolate y

x+y = 90

51+y = 90

y = 90-51

y = 39

Answer:

5470

Step-by-step explanation:

[tex]5000(1+\frac{.03}{12})^{12*3}=5470.257[/tex]

The future value of the investment in the savings account with montly compounding is $5470.

When an investment is compouded monthly, it means that it increases in value every month.

The formula for calculating future value:

FV = P (1 + r)^nm

5000 x ( 1.0025)^36 = $5470

To learn more about future value, please check: https://brainly.com/question/18760477

Answer:

90% confidence interval is ( -149.114, -62.666   )

Step-by-step explanation:

Given the data in the question;

Sample 1                                Sample 2

x"₁ = 259.23                            x"₂ = 365.12

s₁  = 34.713                              s₂ = 48.297

n₁ = 5                                       n₂ = 10

With 90% confidence interval for μ₁ - μ₂ { using equal variance assumption }

significance level ∝ = 1 - 90% = 1 - 0.90 = 0.1

Since we are to assume that variance are equal and they are know, we will use pooled variance;

Degree of freedom DF = n₁ + n₂ - 2 = 5 + 10 - 2 = 13

Now, pooled estimate of variance will be;

[tex]S_p^2[/tex] = [ ( n₁ - 1 )s₁² + ( n₂ - 1)s₂² ] / [ ( n₁ - 1 ) + ( n₂ - 1 ) ]

we substitute

[tex]S_p^2[/tex] = [ ( 5 - 1 )(34.713)² + ( 10 - 1)(48.297)² ] / [ ( 5 - 1 ) + ( 10 - 1 ) ]

[tex]S_p^2[/tex] = [ ( 4 × 1204.9923) + ( 9 × 2332.6 ) ] / [  4 + 9 ]

[tex]S_p^2[/tex] = [ 4819.9692 + 20993.4 ] / [  13 ]

[tex]S_p^2[/tex] = 25813.3692 / 13

[tex]S_p^2[/tex] = 1985.64378

Now the Standard Error will be;

[tex]S_{x1-x2[/tex] = √[ ( [tex]S_p^2[/tex] / n₁ ) + ( [tex]S_p^2[/tex] / n₂ ) ]

we substitute

[tex]S_{x1-x2[/tex] = √[ ( 1985.64378 / 5 ) + ( 1985.64378 / 10 ) ]

[tex]S_{x1-x2[/tex] = √[ 397.128756 + 198.564378 ]

[tex]S_{x1-x2[/tex] = √595.693134

[tex]S_{x1-x2[/tex] = 24.4068

Critical Value = [tex]t_{\frac{\alpha }{2}, df[/tex] = [tex]t_{0.05, df=13[/tex] = 1.771  { t-table }

So,

Margin of Error E =  [tex]t_{\frac{\alpha }{2}, df[/tex] × [ ( [tex]S_p^2[/tex] / n₁ ) + ( [tex]S_p^2[/tex] / n₂ ) ]

we substitute

Margin of Error E = 1.771 × 24.4068

Margin of Error E = 43.224

Point Estimate = x₁ - x₂ = 259.23 - 365.12 = -105.89

So, Limits of 90% CI will be; x₁ - x₂ ± E

Lower Limit = x₁ - x₂ - E = -105.89 - 43.224 = -149.114

Upper Limit = x₁ - x₂ - E = -105.89 + 43.224 = -62.666

Therefore, 90% confidence interval is ( -149.114, -62.666   )

Hi there!  

»»————-　★　————-««

I believe your answer is:  

No.

[tex]0.088 < 0.78[/tex]

»»————-　★　————-««  

Here’s why:  

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

25%

Step-by-step explanation:

Answer:

The Subtotal cost of all the cakes before tax and delivery

Step-by-step explanation:

(21x+8.25y)

21 is the price of 1 large cake and X is the number of cakes they want to purchase not counting tax and delivery fee.

8.25 is the price of 1 small cake and Y is the number of cakes they want to purchase not counting tax and delivery fee.

Answer:

The 4th graph represents a function

Step-by-step explanation:

trust bro

4th graph is a function

Option D is the correct answer

Answer:

482

Step-by-step explanation:

4 is the square of 2 and 2*4 = 8.

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

[tex] \large{ \tt{❁ \: SOLUTION}} : [/tex]

[tex] \large{ \tt{♡ \: AREA \: OF \: RECTANGLE \: ( \: A \: ) = \bf l \times w}}[/tex]

[tex] \large{ \text{⟶ \: 88 = l(l - 3)}}[/tex]

[tex] \large{ \bf{⟶ \: 88 = {l}^{2} - 3 l}}[/tex]

[tex] \large{ \bf{⟶ {l}^{2} - 3l = 88 }}[/tex]

[tex] \large{ \bf{⟶ \: {l}^{2} - 3l - 88 = 0}}[/tex]

[tex] \large{ \bf{ ⟶{l}^{2} - (11 - 8)l - 88 = 0}}[/tex]

[tex] \large{ \bf{⟶ {l}^{2} - 11l + 8l - 88 = 0}}[/tex]

[tex] \large{ \bf{⟶ \: l(l - 11) + 8(l - 11) = 0}}[/tex]

[tex] \large{ \bf{⟶ \: (l - 11)(l + 8) = 0}}[/tex]

[tex] \large{ \bf{⟶ \: l - 11 = 0}} [/tex]

[tex] \large{ \bf{⟶l = 11 \: in}}[/tex]

[tex] \large{ \bf{⟶l + 8 = 0}}[/tex]

[tex] \large{ \bf{⟶l = - 8 \: in}}[/tex]

[tex] \large{ \tt{❈ \: NOW, \: REPLACING \: VALUE}} : [/tex]

[tex] \large{ \tt{⤑ \: Width(w) = l - 3 = 11 \times 3 = \underline{ \tt{8 \: in}}}}[/tex]

[tex] \underline{ \underline{ \large{ \tt{☄OUR \: FINAL \: ANSWER \: }}} }: [/tex]

☂ Yippie! we're done!

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

21 cm²

21 square centimeters

Step-by-step explanation:

A = bh

A = 3 × 7

A = 21

Answer:

you swim 20inches and then you walk 50

Step-by-step explanation:

just because

Answer:

Y=3x+2

Step-by-step explanation:

first you have to put it in the formula y = mx + c

Y=3-x

in this format c = 0 so there's no intercept

Y=3x+c

The parallel line will have the same gradient but different intercept.

Now we substitute the coordinates(1,5) into the formula.

y = 5

x = 1

5=(3*1)+c

5=3+c

Now we make c the subject.

c=2

So the answer is:Y=3x+2

Answer:

We are 95% confident that the proportion of all Money magazine subscribers that made money in the previous year from their investments is between 0.6904 and 0.8218

Step-by-step explanation:

The confidence interval gives a range of values for which a population proportion will fall based on a given level of confidence, in this case it is 95%. This interval is calculated using the sample proportion. The sample proportion in this case is based on a number of samples examined. The interval we obtain in this case (0.6904; 0.8218) is the estimated range which we expect the population proportion to fall ; with a 95% confidence.

Answer:

profit is 256 dollars

Step-by-step explanation:

20% of 1,280 is 256 dollars

Answer:

The more confident the manager can be that the parameter estimates reflect the true values.

Step-by-step explanation:

Standard error:

The standard error is a parameter that is direct proportional to the margin of error of a confidence interval, that is, the higher the standard error, the higher the margin of error of the confidence interval.

A lower margin of error leads to a more precise interval, thus, a lower standard error will also mean a higher confidence for the estimate, and thus, the correct option is:

The more confident the manager can be that the parameter estimates reflect the true values.

Answer:

[tex]x = 8\tan(50)[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find x

To find x, we make use of the following trigonometry ratio;

[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

So, we have:

[tex]\tan(50) = \frac{x}{8}[/tex]

Make x the subject

[tex]x = 8\tan(50)[/tex]

Answer:

the standard error of data set is 2.628

Step-by-step explanation:

Given the data in the question;

set;

x = 9, 13, 21, 30, 31, 31, 34, 25, 28, 20

To get the standard of Error for this data set, we use the formual

S.E = s / √n

First we determine the mean average;

Mean x' = ∑x / n =  ( 9 + 13 + 21 + 30 + 31 + 31 + 34 + 25 + 28 + 20 ) / 10

x' = 242 / 10

Mean x' = 24.2

Next we find the standard deviation s:

x             (x-x')²

9           231.04

13          125.44

21          10.24

30         33.64

31         46.24

31         46.24

34        96.04

25        0.64

28        14.44

20        17.64

Total ∑(x-x')² = 621.6

so Variance = ∑(x-x')² / (n-1) = 621.6 / ( 10 - 1 )  = 621.6 / 9

Variance = 69.0667

Standard deviation S = √Variance

Standard deviation S = √69.0667

Standard deviation S = 8.3106

So we substitute into our formula to get the standard of error;

S.E = 8.3106 / √10

S.E = 2.628

Therefore, the standard error of data set is 2.628

Answer:

2.63

Step-by-step explanation:

Answer:  T=1700

Step-by-step explanation:

Answer:

4.6

Step-by-step explanation:

yes

Answer:

She must take a sample of 56.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation estimate of 1.90

This means that [tex]\sigma = 1.9[/tex]

Wow large a sample must she take if she wants the margin of error to be under 0.5 inch?

This is n for which M = 0.5. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.5 = 1.96\frac{1.9}{\sqrt{n}}[/tex]

[tex]0.5\sqrt{n} = 1.96*1.9[/tex]

[tex]\sqrt{n} = \frac{1.96*1.9}{0.5}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*1.9}{0.5})^2[/tex]

[tex]n = 55.5[/tex]

Rounding up:

She must take a sample of 56.

Answer:48.013

Step-by-step explanation: just found it

Answer:

There are two solutions for [tex]b[/tex]: [tex]b = + 30\cdot z[/tex], [tex]b = -30\cdot z[/tex]

Step-by-step explanation:

By Algebra, we know that a polynomial is a perfect square trinomial if it is of the form:

[tex]a^{2} + 2\cdot a \cdot c + c^{2} = (a + c)^{2}[/tex] (1)

By direct comparison, we have the following system:

[tex]a^{2} = 25\cdot z^{2}[/tex], [tex]c^{2} = 36[/tex], [tex]2\cdot a \cdot c = b[/tex].

There are two possible solutions for [tex]b[/tex]:

1) [tex]a = \pm 5\cdot z[/tex], [tex]c = \pm 6[/tex], [tex]b = + 30\cdot z[/tex]

2) [tex]a = \pm 5\cdot z[/tex], [tex]c = \mp 6[/tex], [tex]b = -30\cdot z[/tex]

Answer:

b=1/2

Step-by-step explanation:

2logb - 3logb = log8b - log4b

log[tex]b^{2}[/tex] - log[tex]b^{3}[/tex] = log8b - log4b

log([tex]\frac{1}{b}[/tex]) = log(2)

∴1/b = 2

∴b = 1/2