The length of a rectangle is 5m less than three times the width, and the area of the rectangle is 50m^(2). Find the dimensions of the rectangle

Answer:

19,000

Step-by-step explanation:

Here, we are to estimate the population in the year 2010

From the question, we can see that within a period of a decade which is 10 years, 1000 was lost

So within the period of another decade, it is possible that another 1000 be lost

The estimated population in the year 2010 is thus 20,000 - 1,000 =

19,000

Answer:

{ln 4, (2 + 2e^ln 4 − 4 ln 4)} or (1.39, 4.45)

Step-by-step explanation:

From this equation 4x − y = 3

-y = 3 - 4x

then, y = 4x - 3

From line equation y = mx + b

Therefore, the slope is 4

Since the are parallel line, they will have same slope

Finding the derivative of y = 2 + 2e^x − 4x

y = 2 + 2e^x − 4x

y' = 0 + 2e^x - 4

Therefore,

4 = 2e^x - 4

4 = e^x

x = ln 4 = 1.39

To find the y coordinate

y = 2 + 2e^x − 4x

y = 2 + 2e^ln 4 − 4 ln 4

y = 4.45

Hence, they are parallel at point (1.39 and 4.45)

Answer:

-400

Step-by-step explanation:

y=350-25(x)

y=350-25x30

y=350-750

y=-400

Answer:

-400

Step-by-step explanation:

y=350-25x

x=30....

y=350-25×30

y=350-750

y=-400

Answer:

C) 1.8 is a statistic and represents an estimate of the unknown value of a parameter of  interest.

Step-by-step explanation:

The complete question is: In a survey of sleeping habits, 8400 national adults were selected randomly and contacted by telephone.

Respondents were asked: “Typically, how many times per week do you sleep less than 6 hours during  the night?” On average, those surveyed reported an average of 1.8 nights per week in which they got  less than 6 hours of sleep. Which of the following is true with respect to this scenario?

A) 8400 is the size of the population being studied.

B) 1.8 is a parameter and represents an estimate of the unknown value of a statistic of  interest.

C) 1.8 is a statistic and represents an estimate of the unknown value of a parameter of  interest.

D) None of the above

We are given that in a survey of sleeping habits, 8400 national adults were selected randomly and contacted by telephone.  

On average, those surveyed reported an average of 1.8 nights per week in which they got  less than 6 hours of sleep.

In the question 8400 is the sample size (n) as it is taken from the population to conduct a survey.

So, the statement is not true that 8400 is the size of the population being studied. It is the size of the sample being tested.

Also, the sample mean = 1.8 nights per week, it is sample or statistic value because it is calculated using sample size value and it is an estimate or representation of the population unknown parameter.

So, the correct statement is that 1.8 is a statistic and represents an estimate of the unknown value of a parameter of  interest.

Answer:

C

Step-by-step explanation:

A reflection is when the original diagram or picture is fliped exactly over the x axis.

HEYA!!

Answer:

Your Answer of the Question is C

if you want to prove it you can do the same thing in real life by drawing a 'W' on a paper and see its reflection on the mirror

HOPE IT MATCHES!!

Answer:

C. 35

55 degrees + 35 degrees= 90 degrees

Answer:

-10, 3

Step-by-step explanation:

-10, 3 work since

-10 + 3 = -7

Answer:

um

Step-by-step explanation:

not sure sorry

Answer:

Option A.

Step-by-step explanation:

Circle contains all points in a plane that are equidistant from a point, i.e., center of the circle.

The locus of points 9 units from the  point (-1,3) on the coordinate plane.

It means, the figure represents the set of all points which are 9 units from the  point (-1,3).

So, the given describes a circle with of 9 units and center at (-1,3).

Therefore, the correct option is A.

Answer:

False.

Step-by-step explanation:

We are asked if it is true or false that any percentage point for a score distribution must have a value equal to one of the scores.

In this case we have to:

False.

Because for example, many times the median (or 50th percentile) is the mean of the inputs in middle 2, and may not equal any data point.

━━━━━━━☆☆━━━━━━━

▹ Answer

y-intercept = -6

▹ Step-by-Step Explanation

The format of slope is:

y = mx + b

The b represents the y-intercept which is, -6.

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer: -6

Step-by-step explanation: This equation is written in slope-intercept form which is more commonly known as y = mx + b form where the multiplier or the coefficient of the x term represents the slope of the line and the b or the constant term represents the y-intercept.

So this line has a y-intercept of -6.

This means it crosses the y-axis 6 units up from origin.

Answer:

D) 4.55%

Step-by-step explanation:

Given:

Rented Income = $3000 per month

= $3000 * 12 = $36,000 annually

Less : - Annual expenses = $11700

Depreciation(3% OF 235000) = $7050

Tax, repairs and Insurance = 15430

Annual net income = $36,000 - ($11,700+$7,050+$15,430)

= $36,000 - $34,180

Annual net income = $1,820

To find annual yield, use the formula below:

Annual yield = (annual net income/down payment) * 100

Therefore, annual yield will be:

Annual yield [tex] = \frac{1,820}{40,000} * 100 [/tex]

= 0.0455 * 100

= 4.55%

Annual yield = 4.55%

Answer:

A) S,T,R

Step-by-step explanation:

Answer:

[tex]y =log_e(x+3)[/tex]

Step-by-step explanation:

It is given that the graph corresponds to a natural logarithmic function.

That means, the function [tex]y[/tex] has a natural log (Log with base [tex]e[/tex]) of some terms of x.

It is given that asymptote of given curve is at [tex]x= -3[/tex]. i.e. when we put value

[tex]x= -3[/tex], the function will have a value [tex]y \rightarrow \infty[/tex].

We know that natural log of 0 is not defined.

So, we can say the following:

[tex]log_e(x+a)[/tex] is not defined at [tex]x= -3[/tex]

[tex]\Rightarrow x+a =0\\\Rightarrow x = -a[/tex]

i.e. [tex]x =-a[/tex] is the point where [tex]y \rightarrow \infty[/tex]

a = 3

Hence, the function becomes:

[tex]y =log_e(x+3)[/tex]

Also, given that the graph crosses x axis at x = -2

When we put x = -2 in the function:

[tex]y =log_e(-2+3) = log_e(1) = 0[/tex]

And y axis at 1.

Put x = 0, we should get y = 1

[tex]y =log_e(0+3) = log_e(3) \approx 1[/tex]

So, the function is: [tex]y =log_e(x+3)[/tex]

Answer:

first, find the area of the circle cut.

r= 3 feet

π=3.14

area of a circle= πr²= 3.14×3×3= 28.26 sq.feet

Now, find the area of the rectangle and subtract it by the area of the circle.

area of rectangle = l×b

length of the rectangle= 16 feet

breadth/width of the rectangular garden= 14 feet

area=  16×14= 224 sq. feet

now, area of the garden surrounding the koi pond=  224-28.26

                                                                                     =195.74 sq. feet

Answer:

A. 195.74

Step-by-step explanation:

Edge2020

Answer:

The last graph.

Step-by-step explanation:

The last graph is the only one that has a constant pattern that can have a rule, which is every number is multiplied by two.

Hope this helped ! good luck :)

Answer:

The answer is below

Step-by-step explanation:

Given that:

mean value (μ) = 12 cm and standard deviation (σ) = 0.04 cm

a) Since a random sample (n) of 16 rings is taken, therefore the mean (μx) ans standard deviation (σx) of the sample mean Xbar is given by:

[tex]\mu_x=\mu=12\ cm\\\sigma_x=\frac{\sigma}{\sqrt{n} }=\frac{0.04}{\sqrt{16} }=0.01[/tex]

The sampling distribution of Xbar is centered about 12 cm and the standard deviation of the Xbar distribution is 0.01 cm

b) Since a random sample (n) of 64 rings is taken, therefore the mean (μx) ans standard deviation (σx) of the sample mean Xbar is given by:

[tex]\mu_x=\mu=12\ cm\\\sigma_x=\frac{\sigma}{\sqrt{n} }=\frac{0.04}{\sqrt{64} }=0.005\ cm[/tex]

The sampling distribution of Xbar is centered about 12 cm and the standard deviation of the Xbar distribution is 0.005 cm

c) n = 16 and the raw score (x) = 11.95 cm

The z score equation is given by:

[tex]z=\frac{x-\mu_x}{\sigma_x} =\frac{x-\mu}{\sigma/\sqrt{n} } \\z=\frac{11.95-12}{0.04/\sqrt{16} }\\ z=-5[/tex]

P(x > 11.95 cm) = P(z > -5) = 1 - P(z < -5) = 1 - 0.000001 ≅ 1 ≅ 100%

d) for n = 64, the standard deviation is 0.01 cm, therefore it is more likely to be within .01cm of 12cm

Using the normal distribution and the central limit theorem, it is found that:

a) The sampling distribution is approximately normal, centered at 12 cm and with a standard deviation of 0.01 cm.

b) The sampling distribution is approximately normal, centered at 12 cm and with a standard deviation of 0.005 cm.

c) 100% probability that the average diameter of piston rings from a sample size 16 is more than 11.95 cm .

d) Due to the lower standard error, the sample of 64 is more likely to be within 0.01 cm of 12 cm.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Item a:

Sample of 16, thus [tex]n = 16[/tex] and [tex]s = \frac{0.04}{\sqrt{16}} = 0.01[/tex]

The sampling distribution is approximately normal, centered at 12 cm and with a standard deviation of 0.01 cm.

Item b:

Sample of 64, thus [tex]n = 64[/tex] and [tex]s = \frac{0.04}{\sqrt{64}} = 0.005[/tex]

The sampling distribution is approximately normal, centered at 12 cm and with a standard deviation of 0.005 cm.

Item c:

This probability is 1 subtracted by the p-value of Z when X = 11.95, thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{11.95 - 12}{0.01}[/tex]

[tex]Z = -5[/tex]

[tex]Z = -5[/tex] has a p-value of 0.

1 - 0 = 1.

100% probability that the average diameter of piston rings from a sample size 16 is more than 11.95 cm .

Item d:

Due to the lower standard error, the sample of 64 is more likely to be within 0.01 cm of 12 cm.

A similar problem is given at https://brainly.com/question/24663213

Answer:

$165.38

Step-by-step explanation:

In the question, we are asked to work with percentages. We know that the person had bought three items of a total of 250 dollars (38 + 189 + 23). We are told that the items have a 30% discount, another 10% discount on that and a 5% tax increase on all of that.

First, let's work with the 30% discount. The official way of working out the problem you would use the unitary method. The unitary method is when we divide the total cost by 100. So 250/100, is 2.5. We multiply this by the remaining percent (100%- 30%=70%) so 2.5*70 is 175.

Then, we work with ten percent. The only difference is that instead of using the original price with are using the 30% discounted price. If we use the unitary method again we find that 175/100 is 1.75 and that multiplied by 90 (because we are only subtracting the 10% not 30%) is 157.50.

Finally, we do the same for the 5% percent only difference being we add it to 157.50. 157.50/100 is 1.575 and multiplied by 105 (because we are adding 5% onto 100% so it becomes 105%).

The final answer is 165.375 and when rounded to the nearest cent it becomes $165.38.

Answer:

74.3

Step-by-step explanation:

we can use the tangent ratio to solve for X

first, set up the equation

tan(22 deg)= 30/x

next, solve for x

multiply both sides by x

(x)(tan(22 deg))=30

then, divide both sides by tan (22 deg)

x=30/tan (22 deg)

plug this into a calculator

this gives us approximately 74.25

Answer:

C

Step-by-step explanation:

Answer:

CORRECT (SELECTED)

The distribution has an outlier.

Step-by-step explanation:

An outlier is a data point far away from the rest of the data. There is a lone data point in the 000 to 111 score category.

(Choice C, Incorrect)

Recall that for |x| < 1, we have

[tex]\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n[/tex]

Replace x with 2x, multiply 4, and call this function f :

[tex]f(x)=\dfrac4{1-2x}=\displaystyle4\sum_{n=0}^\infty(2x)^n[/tex]

Take the derivative:

[tex]f'(x)=\dfrac8{(1-2x)^2}=\displaystyle8\sum_{n=0}^\infty n(2x)^{n-1}=\boxed{8\sum_{n=0}^\infty (n+1)(2x)^n}[/tex]

By the ratio test, the series converges for

[tex]\displaystyle\lim_{n\to\infty}\left|\frac{(n+2)(2x)^{n+1}}{(n+1)(2x)^n}\right|=|2x|\lim_{n\to\infty}\frac{n+2}{n+1}=|2x|<1[/tex]

or |x| < 1/2, so the radius of convergence is 1/2.

Answer:

[tex] SE= \sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2}}[/tex]

And for this case if we have the same sample size we got the minimum value when we have the higher value fo n for each one and for this case would be the answer:

b. 120

Step-by-step explanation:

For this case we have the following info given:

[tex] n_1 = n_2 = 100[/tex]

[tex]\mu_1 = 85.6[/tex]

[tex]\mu_2 = 82.1[/tex]

[tex] \sigma_1 =12.4[/tex]

[tex]\sigma_2 = 8.9[/tex]

We assume that the variable of interest is the linear combination of the two means and for this case the standard error would be given by:

[tex] SE= \sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2}}[/tex]

And for this case if we have the same sample size we got the minimum value when we have the higher value fo n for each one and for this case would be the answer:

b. 120

Answer:

A. b-9=11

Step-by-step explanation:

I‘m assuming the equation should say b, not 6.  She had b blankets, subtracted 9, and was left with 11.     b-9=11.

Answer:

[tex]z=\frac{0.30 -0.32}{\sqrt{\frac{0.32(1-0.32)}{750}}}=-1.174[/tex]  

The p value for this case would be given by:

[tex]p_v =2*P(z<-1.174)=0.240[/tex]  

For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %

Step-by-step explanation:

Information given

n=750 represent the random sample taken

[tex]\hat p=0.30[/tex] estimated proportion of  people who  thought the economy is getting worse

[tex]p_o=0.32[/tex] is the value that we want to verify

[tex]\alpha=0.05[/tex] represent the significance level

z would represent the statistic

[tex]p_v[/tex] represent the p value

Hypothesis to test

We want to check if the true proportion of interest is equal to 0.32 or not.:  

Null hypothesis:[tex]p=0.32[/tex]  

Alternative hypothesis:[tex]p \neq 0.32[/tex]  

The statistic would be given by:

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

Replacing we got:

[tex]z=\frac{0.30 -0.32}{\sqrt{\frac{0.32(1-0.32)}{750}}}=-1.174[/tex]  

The p value for this case would be given by:

[tex]p_v =2*P(z<-1.174)=0.240[/tex]  

For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %

Answer:

you can either factorise or use tge formula method

Step-by-step explanation:

3x2−7x−20=03x2-7x-20=0

Use the quadratic formula to find the solutions.

−b±√b2−4(ac)2a-b±b2-4(ac)2a

Substitute the values a=3a=3, b=−7b=-7, and c=−20c=-20 into the quadratic formula and solve for xx.

7±√(−7)2−4⋅(3⋅−20)2⋅37±(-7)2-4⋅(3⋅-20)2⋅3

Simplify.

Tap for more steps...

x=7±176x=7±176

The final answer is the combination of both solutions.

x=4,−53

Answer:

[tex]2a=6b\\a=3b[/tex]

Step-by-step explanation:

Let [tex]a[/tex] equal the amount of apples and [tex]b[/tex] equal the amount of bananas.

[tex]2a=6b\\a=3b[/tex]

Answer:

every 2 apples there

are 6 bananas​

Step-by-step explanation:

2a=6b

Answer:

-1(3 - y)

Step-by-step explanation:

If you factor out a negative 1, you will get the opposite signs you already have, so -1(3 - y). To check, we can simply distribute again:

-3 + y

So our answer is 2nd Choice.

Answer:

33 lbs  10 ounces

Step-by-step explanation:

   13 lb 14oz

+ 30 lb 12 oz

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

32 lbs  26 oz

But we know that 16 ounces 1 1 lb

Subtract 16 ounces and add 1 lb

32 lbs  26 oz

+1 lb   - 16 ounces

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

33 lbs  10 ounces