Identify the intercepts

Answer: 6.8622 ; 8.1778

Step-by-step explanation:

Given the data:

2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9

6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9

7 10 7 9 9 9 9

Assume a confidence interval of 95%

Using calculator :

The mean of the distribution (m) = 7.52

Standard deviation (s) = 2.314

Sample size),

Obtaining the t score ;

Degree of freedom (df) = (n-1) = 50 - 1 = 49

t(1-α/2), 49 = t(0.025, 49) = 2.01 ( t distribution table)

Margin of Error :

2.01 * s/√n = 2.01 * 2.314/7.0710678

Margin of Error (E) = 0.6578

Confidence interval:

(Mean - E) ≤μ≤ (mean + E)

(7.52 - 0.6578) ≤μ≤ (7.52 + 0.6578)

6.8622 ≤μ≤ 8.1778

Answer:

Step-by-step explanation:

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.

i probably think this may be the answer..hope you understand the equation (I don't know what to write more because it says I need 20 letters)

Answer:

1.

Step-by-step explanation:

5-2x=3

First, you need to subtract by 5 on both sides.

Five minus five is 0, so we've cancelled out that (5-5=0.)

Now we need to subtract that from three (3-5=-2)

That leaves us with -2x = -2. To cancel out -2x so we're left with x, we need to divide on both sides.

-2x÷-2=0

-2÷-2= 1

That leaves us with x=1

Hope this helped! :)

The system of equations is.

\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)

And the solutions are y = 50 and x = 10.

Let's define the two variables:

With the given information we can write two equations, then the system will be:

\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)

Now let's solve it.

We can isolate x on the first  to get:

\(\text{x} = 60 - \text{y}\)

Replace that in the other equation to get:

\(15\times(60 - \text{y}) + 10\text{y} = 800\)

\(-2\bold{y} = 900 - 800\)

\(-2\bold{y} = 100\)

\(\text{y} = \dfrac{100}{-2} = \bold{50}\)

Then \(\bold{x=10}\).

Therefore, the solutions are y = 50 and x = 10.

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Answer:

A

The null hypothesis is  \(H_o : \mu \ge 8300\)

The  alternative hypothesis is  \(H_a : \mu < 8300\)

B

  \(t = -3.34\)

C

 \(p-value = P(t< -3.34) = 0.00041889\)

D

 reject the null hypothesis  

Step-by-step explanation:

From the question we are told that

    The population mean is  \(\mu = 8300\)

    The sample mean is \(\ = x = 8000\)

     The  standard deviation is \(s = 440\)

      The sample size is  \(n = 24\)

       The  level of significance is  \(\alpha = 0.01\)

The null hypothesis is  \(H_o : \mu \ge 8300\)

The  alternative hypothesis is  \(H_a : \mu < 8300\)

 The  test statistic is mathematically evaluated as

                     \(t = \frac{\= x - \mu }{ \frac{s}{\sqrt{n} } }\)

=>                  \(t = \frac{8000- 8300 }{ \frac{440}{\sqrt{24} } }\)

=>                    \(t = -3.34\)

The p-value is obtained from the z -table ( reference calculator dot net ) , the value is

         \(p-value = P(t< -3.34) = 0.00041889\)

Looking at the values of  \(p-value and \ \alpha\) we see that  \(p-value < \alpha\) Hence we reject the null hypothesis  

Answer:

ok so they purchased price of the car is $1000 and the asking price will be 20% of $1000 so $1000 is a 100% so to get 20% of $1000 it will be 100% + 20% to get 120 percent so the asking price is 120 per cent of $1000 so 120 percent of $1000 is equals to 1200 dollars then you are told that he could not sell it by that price so he reduced it by 20% so this $1200 is 100% so he reduced it by 20% so it will be 100% - 20% to get 80% so this person sold his car at 80% so we will get 80% of $1200 and we will get $960 so he made a loss of $40

Answer:

1.5 or 1  1/2

Step-by-step explanation:

7  1/2 divided by 5 would equal to 1.5 or 1  1/2

Answer:Think of the equation as an equation for a line

y=mx+b

where in this case

C= 5 /9  (F−32)

or

C= 5 /9 F - 5/9 x 32

You can see the slope of the graph is  5 /9

, which means that for an increase of 1 degree Fahrenheit, the increase is  

5 /9  of 1 degree Celsius.

C= 5 /9 (F)

C= 5/9(1)

C=5/9

Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of  

9/5 degrees Fahrenheit.

C= 5/ 9 (F)

1= 5 /9 (F)

(F)= 9 /5

Since  

9/5 = 1.8, statement II is true.

The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of 5/9 degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:

C= 5 /9 (F)

C= 5 /9 x 5/9

C=25/81

(which is≠1)

An increase of  5/9

degree Fahrenheit leads to an increase of  

25/81.

, not 1 degree, Celsius, and so Statement III is not true.

The final answer is D.

The graph will have a slope of 15 and is attached with the answer below.

The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional.

When y and x are two quantities that are directly proportional to one another, the proportionality constant k is defined as k=y/x.

Given that Nicole had a collection of 60 stuffed animals. She gave away 5 stuffed animals per month until all her stuffed animals were gone.

The equation can be written as:-

y = kx

The value of k will be calculated as :-

60 = k x 5

k = 60 / 5

k = 12

The equation will be:-

y = 12x

The graph of the linear relation is attached with the answer below.

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Answer:

the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams is 0.7284

Step-by-step explanation:

Given that

mean weight = 3831 grams,

variance = 108,900

sample size n = 65

the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams = ?

Now standard error of mean = √( 108900 / 65 ) = 40.9314

z = +/- (45/40.9314)

z = +/-1.0994

so

P( -1.0994 <z< 1.0994 ) = P( z<1.0994 ) - (p<-1.0994 )

= 0.8642 - 0.1358

= 0.7284

Therefore the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams is 0.7284

Answer:

u = 12

Step-by-step explanation:

formula : (base x height) / 2

60 x 2= 120

120 / 10 = 12

Answer:

Maria sent 7 messages

Bob sent 5 messages

Ahmad sent 45 messages

Step-by-step explanation:

Given that Maria, Ahmad, and Bob sent a total of 52 text messages during the weekend.

If Maria sent fewer messages than Bob, and Ahmad sent times as many messages as Bob

Since the exact figures were not given, then let make an assumption that Ahmad sent 9 times as many messages as Bob.

If Bob sent 5 messages, then, Ahmad will send 5 × 9 = 45 messages

Also, it is given that Maria sent fewer messages than Bob. Take 45 away from 52. That is,

52 - 45 = 7

Therefore,

Maria sent 7 messages

Bob sent 5 messages

Ahmad sent 45 messages

Answer:

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

Given is the quadratic equation.

A quadratic equation has two real solutions if the discriminant is positive.

Answer:

always

Step-by-step explanation:

bc it’s right lolz

Answer:

\(\mathrm{23cm,19.81cm^2}\)

Step-by-step explanation:

\(\mathrm{Solution:}\\\mathrm{Let\ a=5cm,\ b=8cm\ and\ c=10cm}\\\mathrm{Let\ "P"\ denote\ the\ perimeter\ and\ "A"\ denote\ the\ area\ of\ the\ triangle.}\\\mathrm{Then,\ P=a+b+c=5+8+10=23cm}\\\mathrm{Also,\ Semiperimeter(s)=\frac{P}{2}=\frac{23}{2}=11.5}\\\)

\(\mathrm{Now,}\\\mathrm{Area\ of\ triangle=\sqrt{s(s-a)(s-b)(s-c)}}\\\mathrm{=\sqrt{11.5(11.5-5)(11.5-8)(11.5-10)}}\\\mathrm{=\sqrt{11.5\times 6.5\times 3.5\times 1.5}}\\\mathrm{=19.81cm^2}\\\mathrm{So,\ the\ perimeter\ of \ the\ triangle\ is\ 23cm\ and\ area\ is\ 19.81cm^2.}\)

Answer: choice A

Step-by-step explanation:

by rearranging the initial inequality you’ll get

\(\frac{3}{2} x\leq 5-\frac{1}{3}\)

which equals

\(\frac{3}{2} x\leq\frac{14}{3}\)

then multiply both sides by 2/3

\(x\leq \frac{28}{9}\)

The least amount of paint that is needed to paint the walls of a room with a rectangular prism shape is 1. 8 gallons.

There would be two walls with 10 x 16 dimensions so the area is :

= 2 x 10 x 16

= 320 square feet

Two walls with 20 x 10 dimensions :

= 2 x 20 x 10

= 400 square feet

The total area is :

= 400 + 320

= 720 square feet

One gallon of paint can cover 400 square feet so the number of gallons needed is:

= 720 / 400

= 1. 8 gallons

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Full question is:

One gallon of paint covers 400 square feet. What is the least amount of paint needed to paint the walls of a room in the shape of a rectangular prism with a length of 20 feet, a width of 16 feet, and a height of 10 feet? Write your answer as a decimal.

9514 1404 393

Answer:

  x + 3y = 9

Step-by-step explanation:

The parallel line will have the same x- and y-coefficients. The new constant can be found by using the (x, y) values of the given point.

  x + 3y = (6 +3(1)) = 9

The equation of the parallel line is ...

  x + 3y = 9

Conclusion:

          -4x is greater than -10x.

           11 is smaller than 17.  

What is a linear equation in one variable?

A linear equation is a one-variable equation of a straight line. The variable's only power is 1. Linear equations in one variable with the form of  ax + b = 0 are solved using basic algebraic operations.

The given equation is -4x + 11 = -10x + 17

Comparing the variable terms on both sides

on the left side '-4x' is there and on the right side '-10x' is there. so

                -4x is greater than -10x.

Now comparing the constant terms on both sides

on the left side '11' is there and on the right side '17' is there. so

                   11 is smaller than 17.

Hence,

          -4x is greater than -10x.

           11 is smaller than 17.  

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The  equation of the parabola with the following properties y = (-1/4)(x+3)^2 -1

To find the equation of a parabola, we can use the formula f(x) = ax^2 + bx + c, where a, b and c are congruent vertices.

Alternatively, we can use PF = PM to find the equation of the parabola.

vertex is half way between the focus and directrix

It's a downward opening parabola, general form

y= a(x-h)^2 + k

where (h,k) = vertex= (-3,-1)

plug in another point on the parabola to solve for a which gives

am answer with either x coefficient = -1'/4 or =4 Check the math.

one or the other is right another point is the y intercept = 9a-1

Another point is directly to the right of the focus  (-1, -2)  It's 2 down from the directrix and 2 to the right of the focus, equidistant.   plug that point into y= a(x+3)^2 -1 and solve for "a"  

-2 = a((-1+3)^2 -1

-2 = 4a -1

4a = -

a = -1/4

The parabola is y = (-1/4)(x+3)^2 -1

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Answer:

it is actually a very simple question first you add 4+9=13 then you multiply 5 times 13 which gets you the answer of 65

\( \mathbb{ANSWER:}\)

LCM: 168

HCF: 28

Applying the trigonometry ratios to solve the geometry, we have:

1. x = 9√3; y = 18     2. x = 3; y = 6    3. x = 18; y = 6√3

Geometry is a branch of mathematics that studies the properties and relationships of points, lines, shapes, and solids in space.

1. To find x, apply the tangent ratio:

tan 30 = 9/x

x = 9/tan 30

x = 9 / 1/√3 (tan 30 = 1/√3)

x = 9 * √3/1

x = x = 9√3

Using the sine ratio:

sin 30 = 9/y

y = 9/sin 30

y = 9/ 1/2 (sin 30 = 1/2)

y = 9 * 2/1

y = 18

2. tan 60 = 3√3 / x

x = 3√3 / tan 60

x = 3√3 / √3 (tan 60 = √3)

x = 3

sin 60 = 3√3 / y

y = 3√3 / sin 60

y = 3√3 / √3/2 (sin 60 = √3/2)

y = 3√3 * 2/√3

y = 6√3/√3

y = 6

3. cos 30 = x/12√3

x = cos 30 * 12√3

x = √3/2 * 12√3 (cos 30 = √3/2)

x = (3 * 12) / 2

x = 18

sin 30 = y/12√3

y = sin 30 * 12√3

y = 1/2 * 12√3 (sin 30 = 1/2)

y = 6√3

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Answer:

Step-by-step explanation:

-3/5

Answer:

V^-3

Step-by-step explanation:

The answer is in the pic above

Answer:

\( {v}^{2} . {v}^{ - 6} .v\)

\( = {v}^{2} . \frac{1}{ {v}^{6} } .v\)

\( = \frac{ {v}^{3} }{ {v}^{6} } \)

\( = \frac{1}{ {v}^{3} } \)

Answer:

−4x^3+3x^2+5x−3.78

Step-by-step explanation:

:D