pls helpppppppppppp!

Answer:

15%

Step-by-step explanation:

1335-1200=135

9 months=9/12

135=1200 x r x 9/12

135=900r

divide each by 900

135/900       900r/900

0.15=r

0.15=15%

\(10x-8y =4~~~....(i)\\\\-5x+3y=-9~~~...(ii)\\\\\text{Multiply equation (ii) by} -2\\\\10x-6y = 18~~~...(iii)\\\\(iii)-(i):\\\\10x-6y - 10x +8y = 18 -4\\\\\implies 2y = 14\\\\\implies y= \dfrac{14}2 = 7\\\\\text{Substitute y = 7 in equation (i):}\\\\10x-8(7) =4\\\\\implies 10x - 56 =4\\\\\implies 10x = 4+56\\\\\implies 10x = 60\\\\\implies x = \dfrac{60}{10} = 6\\\\\\\text{Hence (x,y) = (6, 7)}\)

Answer:

See the distances bellow

Step-by-step explanation:

Given data

D(-5, -6), E(5, 2)

substitute into the expression for the distance

\(d= \sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)\\\\d= \sqrt((5+5)^2 + (2+6)^2)\\\\d= \sqrt((10)^2 + (8)^2)\\\\d= \sqrt(100 +64)\\\\d= \sqrt((164)\\\\d= 12.80\)

E(5, 2), F(4, -4)

\(d= \sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)\\\\d= \sqrt((4-5)^2 + (-4-2)^2)\\\\d= \sqrt((-1)^2 + (-6)^2)\\\\d= \sqrt(1+36)\\\\d= \sqrt((37)\\\\d= 6.08\)

F(4, -4), G(-6, -12)

\(d= \sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)\\\\d= \sqrt((-6-4)^2 + (-12+4)^2)\\\\d= \sqrt((-10)^2 + (-8)^2)\\\\d= \sqrt(100+64)\\\\d= \sqrt((164)\\\\d= 12.80\)

G(-6, -12),  D(-5, -6)

\(d= \sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)\\\\d= \sqrt((-6+5)^2 + (-12+6)^2)\\\\d= \sqrt((-1)^2 + (-6)^2)\\\\d= \sqrt(1+36)\\\\d= \sqrt((37)\\\\d= 6.08\)

Answer: 8 hours

Step-by-step explanation:  240 mph ÷ 30 = 8 hours

The minimum sample size required when you want to be 99% confident that the sample mean is within one unit of the population mean and σ = 13.8 is 1268

Given: To find the minimum sample size, confidence level = 99%, standard deviation = 13.8, and one unit population mean. [Normally distributed]

Solving the given question:

We know that the formula for Margin of error is:

Margin of error = z-score * (standard deviation) / root (sample size)

E = z * σ / √(n), where

E = Margin of error

z = z-score

n = Sample size

σ = standard deviation

Therefore, sample size = ( z – score * standard deviation / margin of error)²

n = ( z * σ / E )²

First, calculate the z-score for the 99% confidence level.

From the normal distribution curve, the area under 99% confidence level is given as:

Area under 99% confidence level = (1 + confidence level) / 2 = (1 + 0.99) / 2 = 0.995

From the z-score table, we find the value of z with the corresponding area of 0.995

We find the value of the z-score corresponding to 0.995 is 2.58

Also given sample mean is one unit of the population. So the margin of error is 1

E = 1

And given Standard deviation = 13.8

σ = 13.8

Putting the values in the given formula of sample size n =

n = (2.58 * 13.8 / 1 )²

n = 1267.64

n = 1268

Hence the minimum sample size required when you want to be 99% confident that the sample mean is within one unit of the population mean and σ = 13.8 is 1268

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Disclaimer: Determine the minimum sample size required when you want to be 99% confident that the sample mean is within one unit of the population mean and G = 13.8. Assume the population is normally distributed. A 99% confidence level requires a sample size of (Round up to the nearest whole number as needed )

Answer:

price of vegetables= regular price-discount

p=r-discount

Step-by-step explanation:

discount = regular price- price of vegetables

discount= r-p

OR

price of vegetables= regular price-discount

p=r-discount

percentage discount

[(original price- discounted price)/original price]*100= percent discount

Answer:

P = r - 8

Step-by-step explanation:

Got it correct.

The two vectors are indeed considered linearly dependent if they are collinear. So the given statement is true about two linear dependent vectors.

The set \(\{v_1, v_2,.....,v_k\}\) is considered as linearly dependent if numbers \(\{x_1, x_2, ....,x_k\}\)are not equal to zero. Then, \(x_1v_1+x_2v_2+.....+x_kv_k=0\). This equation is referred to as the equation of linear dependence or linear dependence relation.

When two vectors are collinear, or when one is a scalar multiple of the other, they are said to be linearly dependent. These collinear vectors are also referred to as parallel vectors and these vectors will lie along the same line or parallel line. The given statement is therefore true.

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The correct answer is Difference of Means equals 173.91

To calculate the difference of means between the track athletes and gymnasts, we need to find the mean values for each group and then subtract them.

For the track athletes:

Mean = (89.2 + 145.3 + 589.1 + 257.3 + 361.5) / 5 = 288.48

For the gymnasts:

Mean = (72.1 + 78.5 + 66.2 + 63.1 + 347.2 + 65.3) / 6 = 114.57

Difference of Means = Mean of Track Athletes - Mean of Gymnasts

= 288.48 - 114.57

≈ 173.91

Rounded to the nearest hundredth, the difference of means for the two groups is approximately 173.91.

Therefore, the correct answer is:

Difference of Means equals 173.91

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The number of child tickets sold is 56, and the number of adult tickets sold is 24.

Let's assume the number of child tickets sold is represented by 'x', and the number of adult tickets sold is represented by 'y'.

According to the given information, the total number of tickets sold is 80. Therefore, we have the equation:

x + y = 80 ---(1)

The total revenue generated from ticket sales is $734.00. Since each child ticket costs $5.50 and each adult ticket costs $11.50, we can express the total revenue as:

5.50x + 11.50y = 734.00 ---(2)

To solve this system of equations, we can use the substitution method or the elimination method. Let's use the elimination method:

Multiply equation (1) by 5.50 to eliminate 'x':

5.50(x + y) = 5.50(80)

5.50x + 5.50y = 440 ---(3)

Subtract equation (3) from equation (2) to eliminate 'x':

(5.50x + 11.50y) - (5.50x + 5.50y) = 734.00 - 440

6.00y = 294

y = 49

Substitute the value of y back into equation (1) to find x:

x + 49 = 80

x = 80 - 49

x = 31

Therefore, the number of child tickets sold is 31, and the number of adult tickets sold is 49, which adds up to a total of 80 tickets, as stated in the problem.

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The standard deviation for this sample data set is 1.93.

What is deviation ?

Deviation refers to the difference between an individual value or observation and the average or mean value of a set of data. It can also refer to the extent to which a variable or set of data deviates from a standard or expected value.

To calculate the standard deviation for a sample data set, we first need to find the mean (average) of the data. In this case, the mean of the data set {5, 7, 6, 9, 6, 4, 4, 6, 5, 2, 5} is 5.45.

Once we have the mean, we can calculate the variance by taking the average of the squared differences between each data point and the mean. The variance is given by:

(1/n) * Σ(x_i - mean)^2

where n is the number of data points and x_i is the i-th data point.

The variance for this data set is 3.70.

Finally, we take the square root of the variance to get the standard deviation.

So, the standard deviation for this sample data set is 1.93.

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Answer:

The tower is 73.4 m tall

Step-by-step explanation:

The height of the pole = 2.5 m

The shadow cast by the pole = 1.72 m

Shadow cast by tower = 50.5 m

To find the height of the tower, we proceed by finding the angle of elevation, θ, of the light source casting the shadows as follows;

\(Tan\theta =\dfrac{Opposite \ side \ to\ angle \ of \ elevation}{Adjacent\ side \ to\ angle \ of \ elevation} = \dfrac{Height \ of \ pole }{Length \ of \ shadow} =\dfrac{2.5 }{1.72}\)

\(\theta = tan ^{-1} \left (\dfrac{2.5 }{1.72} \right) = 55.47 ^{\circ}\)

The same tanθ gives;

\(Tan\theta = \dfrac{Height \ of \ tower}{Length \ of \ tower \ shadow} =\dfrac{Height \ of \ tower }{50.5} = \dfrac{2.5}{1.72}\)

Which gives;

\({Height \ of \ tower } = {50.5} \times \dfrac{2.5}{1.72} = 73.4 \ m\)

The value of x from given quadrilateral ABCD is 27°.

In the given quadrilateral ABCD, ∠A=3x+5, ∠B=2x+15, ∠C=4x and ∠D=4x-10.

We know that, the sum of interior angles of quadrilateral is 360°.

Here, ∠A+∠B+∠C+∠D=360°

3x+5+2x+15+4x+4x-10=360°

13x+10=360°

13x=350°

x=350/13

x=26.9

x≈27°

Therefore, the value of x from given quadrilateral ABCD is 27°.

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70% of the days in San Diego are sunny.

In San Diego, the ratio of cloudy days to sunny days is 3:7.

To find the percentage of sunny days, we need to determine the proportion of sunny days out of the total number of days.

Let's assume that there are a total of 10 days.

Based on the ratio, we can say that 3 out of 10 days are cloudy, and 7 out of 10 days are sunny.

To calculate the percentage of sunny days, we divide the number of sunny days (7) by the total number of days (10) and multiply by 100.

So, \((\frac{7}{10} )\times 100= 70\%\).

Therefore, approximately 70% of the days in San Diego are sunny.

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Answer:

\(a_n=112\left(-\frac{1}{4}\right)^{n-1}\)

Step-by-step explanation:

Geometric Sequences

There are two basic types of sequences: arithmetic and geometric. The arithmetic sequences can be recognized because each term is found as the previous term plus a fixed number called the common difference.

In the geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.

We are given the sequence:

112, -28, 7, ...

It's easy to find out this is a geometric sequence because the signs of the terms are alternating. If it was an arithmetic sequence, the third term should be negative like the second term.

Let's find the common ratio by dividing each term by the previous term:

\(\displaystyle r=\frac{-28}{112}=-\frac{1}{4}\)

Testing with the third term:

\(\displaystyle -28*-\frac{1}{4}=7\)

Now we're sure it's a geometric sequence with r=-1/4, we use the general equation for the nth term:

\(a_n=a_1*r^{n-1}\)

\(a_n=112\left(-\frac{1}{4}\right)^{n-1}\)

The simplified expression is 2cos²(x) + sinx - 1 = 0

The expression we will be simplifying is

=> 1/sinx+cosx + 1/sinx-cosx = 2sinx/sin⁴x-cos⁴x.

To begin, let us look at the left-hand side of the expression. We can combine the two fractions using a common denominator, which gives us:

(1/sinx+cosx)(sinx-cosx)/(sinx+cosx)(sinx-cosx) + (1/sinx-cosx)(sinx+cosx)/(sinx-cosx)(sinx+cosx)

Simplifying this expression using the distributive property, we get:

(1 - cosx/sinx)/(sin²ˣ - cos²ˣ) + (1 + cosx/sinx)/(sin²ˣ - cos²ˣ)

Next, we can simplify each fraction separately. For the first fraction, we can use the identity sin²ˣ - cos²ˣ = sinx+cosx x sinx-cosx to obtain:

1 - cosx/sinx = (sinx+cosx - cosx)/sinx = sinx/sinx = 1

Similarly, for the second fraction, we can use the same identity to obtain:

1 + cosx/sinx = (sinx-cosx + cosx)/sinx = sinx/sinx = 1

Substituting these values back into the original expression, we get:

1 + 1 = 2sinx/(sin⁴x - cos⁴x)

Now, we can simplify the denominator using the identity sin²ˣ + cos²ˣ = 1 and the difference of squares formula:

sin⁴x - cos⁴x = (sin²ˣ)² - (cos²ˣ)² = (sin²ˣ + cos²ˣ)(sin²ˣ - cos²ˣ) = sin²ˣ - cos²ˣ

Substituting this back into the expression, we get:

2 = 2sinx/(sin²ˣ - cos²ˣ)

Finally, we can simplify the denominator using the identity sin²ˣ - cos²ˣ = -cos(2x):

2 = -2sinx/cos(2x)

Multiplying both sides by -cos(2x), we get:

-2cos(2x) = 2sinx

Dividing both sides by 2, we get:

-cos(2x) = sinx

Using the double-angle formula for cosine, we get:

-2cos²(x) + 1 = sinx

Simplifying this expression, we get:

2cos²(x) + sinx - 1 = 0

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The frequency table is given below:

Superpower  Frequency

Fly                       14

Freeze time         8

Invisibility             3

Super strength    3

Telepathy             12

Relative frequency table is given below:

Superpower  Relative Frequency

Fly                       14/40 = 0.35

Freeze time         8/40 = 0.20

Invisibility             3/40 = 0.075

Super strength    3/40 = 0.075

Telepathy             12/40 = 0.30

Constructing the frequency table of the distribution will involve grouping the students superpower preferences as they occur into a table of the number of times they occur.

The frequency table is given below:

Superpower  Frequency

Fly                       14

Freeze time         8

Invisibility             3

Super strength    3

Telepathy             12

Superpower  Relative Frequency

Fly                       14/40 = 0.35

Freeze time         8/40 = 0.20

Invisibility             3/40 = 0.075

Super strength    3/40 = 0.075

Telepathy             12/40 = 0.30

In conclusion, the relative frequencies and frequencies are obtained  from the data provided.

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\(5(x - 5) = 2(2x - 4)\)

\(5x - 25 = 4x - 8\)

Subtract both sides 4x

\(5x - 4x - 25 = 4x - 4x - 8\)

\(x - 25 = - 8\)

Add both sides 25

\(x - 25 + 25 = - 8 + 25\)

\(x = + 17\)

There u go...

Have a great day ❤

The factors that affect the width of a confidence interval are a. population variation, c. sample size, and d. confidence level

Confidence interval refers to a statistical measure that attempts to estimate the range of values that could plausibly contain the true value of a population parameter. A confidence interval, in other words, is a statistical range that tells us how sure we are that a statistical estimate we're interested in lies between two values.

There are several factors that can affect the width of a confidence interval. Here are some of them:

The Question was Incomplete, Find the full content below :

what factors of the following affect the width of a confidence interval?

a. population variation

b. none of them

c. sample size

d. confidence level

e. sample mean

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Answer:

uh huh she has 18 rolls of wrapping paper

Answer:

27

Step-by-step explanation:

Answer:

66 is equal to K

Step-by-step explanation:

if 4 times 6 equal 24

then 11 time 6 equals 66

in this case, the scale factor is 6.

Have a wonderful day!

Answer:

K = 66

Step-by-step explanation:

\(\frac{k}{24} = \frac{11}{4}\)

when taking a look at this, first try to see if you can solve the denominator.

24 to 4 equals 6 meaning you divide k by 6 will be equal to 11

Then 11 x 6 = 66!!

Mark me as brainliest!!    

Answer:

book

Step-by-step explanation:

it has a title,subheading,and more

Answer:

a rectangular prism

Step-by-step explanation:

The lower bound for the 95% confidence interval for the proportion of Android users who plan to get another Android phone is 0.463 .

It can be evaluated applying the formula

Lower Bound = Sample Proportion - Z-Score × Standard Error

Here

Sample Proportion
= 200/371 = 0.539

Z-Score = 1.96 (for a 95% confidence interval)

Standard Error = √[(Sample Proportion * (1 - Sample Proportion)) / Sample Size]
= √[(0.539 × (1 - 0.539)) / 371]
= 0.045
Therefore,

Lower Bound = 0.539 - 1.96 × 0.045 = 0.463
A confidence interval is a known as the specified range of values that is prone to contain an unknown population area with a certain degree of confidence.

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the function could be a probability density function with C = (24/25).

The given function is f(x) = {C (2x - x^3) 0 < x < 5/2 0 otherwise. It is possible that this function is a probability density function. However, for it to be a probability density function, it must satisfy two conditions.

First, the function must be non-negative for all values of x.

Second, the area under the curve of the function must be equal to 1.

Since the function is non-negative for all values of x, the first condition is satisfied. To determine if the second condition is satisfied, we need to calculate the integral of the function from 0 to 5/2. We get:Integral from 0 to 5/2 of f(x)dx = Integral from 0 to 5/2 of C(2x - x^3)dx= C[ x^2 - (x^4/4) ] from 0 to 5/2= C [(5/2)^2 - ((5/2)^4/4)] - C[0 - 0]= (25C/4) - (125C/16)= (25C/16)Now, for the second condition to be satisfied, (25C/16) = 1Therefore, C = (16/25).Thus, the function could be a probability density function with C = (16/25). Now, let's repeat this process for the function f(x) = {C (2x - x^2) 0 < x < 5/2 0 otherwise. This function is non-negative for all values of x. To determine if the second condition is satisfied, we need to calculate the integral of the function from 0 to 5/2. We get:Integral from 0 to 5/2 of f(x)dx = Integral from 0 to 5/2 of C(2x - x^2)dx= C[x^2 - (x^3/3)] from 0 to 5/2= C [(25/4) - (125/24)] - C[0 - 0]= (25C/4) - (125C/24)= (25C/24)Now, for the second condition to be satisfied, (25C/24) = 1Therefore, C = (24/25)

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By the probability density function c= -64/225.

In probability theory, a probability density function (PDF) is refers the random variable’s probability coming within a  range of values, as opposed to taking on any one value. The function describes the probability density function of normal distribution and the process the mean and deviation exists.

The value of PDF is equals to 1.

Given function f(x) = {C (2x - x³) } 0

x = 5/2      

If it is a probability density function then

\(\int\limits^a_b {f(x)} \, dx =1\)

Here  f(x) = {C (2x - x³)} and a = 0 , b = 5/2

At first by integration we get,

 \(\int\limits {c(2x-x^{3}) } \, dx\)

=c ∫ 2x dx -c∫ x³dx      

= c(2×(x²/2) - x⁴/4)      

=c( x² - x⁴/4)

putting upper limit and lower limit that is x=0 and x= 5/2 we get,

c((5/2)² - (1/4)(5/2)⁴)

=c(5/2)²{ 1- (1/4)(5/2)² }

= c(25/4) { 1- (25/16)}

=  c(25/4) (-9/16)

= -225c/64

Now according to the probability density function the value is equals to 1

so

-225c/64 = 1  

Hence c = -64/225.

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Answer:

x=4

Step-by-step explanation:

7x-2=12x-22

7x-12x=-22+2

-5x=-20

x=20÷5

=4

Answer:

a)

b)

Explanation:

a) Let b represent the number of striped bass one is allowed to catch.

Since we're only allowed to catch at most 3 striped basses, that is, the number of striped basses can be less than or equal to 3 but not more, we can go ahead and write the inequality as seen below;

See below the graph of the above inequality on a number line;

b) Let l represent the length of each striped bass

Since each striped bass must not be less than 18 inches long, that is, each striped bass can

be more than or equal to 18 inches in length but not less, we can go ahead and write the inequality as seen below;

Graphing on a number line, we'll have;

Answer:

V = 5,324 in^3

Step-by-step explanation:

V = 4(\(\pi\)r^3)/3

= 4(3)(11^3)/3

= 12(11)(11)(11)/3

= 12(1,331)/3

= 15,972/3

V = 5,324 in^3

Answer:

5575.28 or 5,324 depending on use of pie.

Step-by-step explanation

V=4/3πr3=4/3·π·113≈5575.27976

Hope this helps :)!

This is the answer if pie is used as 3.14.

V = 5,324 in^3 if pie used as 3.

V = 5575.28 in^3 if pie used as 3.14.

Answer:

Step-by-step explanation:

Given no information other than what is in the question, a linear function that would fit this data would be:

y = -0.16154x + 327 where y is the barrels of oil, in millions of barrels, and x is the year.

Calculate the slope of the line from the data (the barrels of oil are in millions):

Rise = -2.1

Run = 13

Rise/Run, or slope = -0.16154

The y-intercept was claculated from the point (2000,4) and is equal to 327

The linear function which models the production in t years is represented as f(t) = -0.1615t + 4.

Given data:

To find the linear function that best models the oil and gas production, use the point-slope form of a linear equation:

y - y1 = m(x - x1)

where (x1, y1) is a known point on the line, m is the slope of the line, and x represents the number of years after the year 2000.

Use the points (0, 4) and (13, 1.9) to find the slope:

Slope (m) = (change in y) / (change in x)

m = (1.9 - 4) / (13 - 0)

m = -2.1 / 13

m ≈ -0.1615 (rounded to four decimal places)

Now, the slope (m ≈ -0.1615), and use it to find the linear function.

Using the point-slope form with the point (0, 4):

y - 4 = -0.1615(x - 0)

y - 4 = -0.1615x

On solving for y:

y = -0.1615x + 4

Hence, the linear function that best models the oil and gas production is

f(t) = -0.1615t + 4

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11 dummy variables will be needed.

A dummy variable is a numerical variable used in regression analysis to represent subgroups of the sample in your study. In research design, a dummy variable is often used to distinguish different treatment groups.

we know that,

dummy variable formula = K- 1,

here, K = 12 (months in a year)

this implies, K - 1 = 12 - 1 = 11

Therefore, no. of dummy variables needed = 11.

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Answer:

Step-by-step explanation:

\(7 > 2x+9\\\\\mathrm{Switch\:sides}\\\\\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\2x+9-9<7-9\\\\2x<-2\\\\\frac{2x}{2}<\frac{-2}{2}\\\\x<-1\)

The exact form of the zeros of the polynomial function c(x)=3x^(4)-2x^(3)-39x^(2)-10x+24 are x=-4, x=-3/2, x=2, and x=1.

To find all the zeros of the polynomial function c(x)=3x^(4)-2x^(3)-39x^(2)-10x+24, we need to find the values of x that make c(x)=0. One way to do this is by using the Rational Root Theorem, which states that if a polynomial has rational zeros, then they must be in the form of p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.

The factors of the constant term, 24, are ±1, ±2, ±3, ±4, ±6, ±8, ±12, and ±24. The factors of the leading coefficient, 3, are ±1 and ±3. Therefore, the possible rational zeros are ±1, ±2, ±3, ±4, ±6, ±8, ±12, and ±24.

Using synthetic division, we can test these possible zeros to see if they are actually zeros of the polynomial. After testing, we find that the zeros are -4, -3/2, 2, and 1.

So, the exact form of the zeros of the polynomial function c(x)=3x^(4)-2x^(3)-39x^(2)-10x+24 are x=-4, x=-3/2, x=2, and x=1.

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