Determine the intercepts of the line.

Answer:

12

Step-by-step explanation:

Take the number of students and multiply by the percent

20 * 60 %

Put in decimal form

20 *.60

12

There are 12 girls

Answer: 12 Students are girls.

60% of 20 students is 12. Which means the 12 students in the class are girls.

Answer:

[tex]29.5-1.671\frac{5.2}{\sqrt{59}}=28.37[/tex]    

[tex]29.5+1.671\frac{5.2}{\sqrt{59}}=30.63[/tex]    

And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence

Step-by-step explanation:

Information given

[tex]\bar X = 29.5[/tex] represent the sample mean

[tex]\mu[/tex] population mean  

s= 5.2 represent the sample standard deviation

n=59 represent the sample size  

Confidence interval

The confidence interval for the true mean is given by the following formula:

[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]   (1)

The degrees of freedom are given by:

[tex]df=n-1=59-1=58[/tex]

The Confidence interval is 0.90 or 90%, the significance is [tex]\alpha=0.1[/tex] and [tex]\alpha/2 =0.05[/tex], and the critical value is [tex]t_{\alpha/2}=1.671[/tex]

Now we have everything in order to replace into formula (1):

[tex]29.5-1.671\frac{5.2}{\sqrt{59}}=28.37[/tex]    

[tex]29.5+1.671\frac{5.2}{\sqrt{59}}=30.63[/tex]    

And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence

Answer:

the median is -1

-9 -4 -3 (-1) 2 3 9

stay safe and have a good day

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Answer:

-1

Step-by-step explanation:

First put the numbers in order from smallest to largest

-9 -4  -3 -1 2 3 9

The median is the middle number

The middle number is -1

Answer:

Step-by-step explanation:

Pi is the ratio of a circle's circumference to its diameter.

The circumference = π * the diameter of the circle (Pi multiplied by the diameter of the circle)

Hope this helps!

Answer:

0.064

Step-by-step explanation:

(2/5) * (2/5) * (2/5)

= 0.064

Hope this is helpful!!! :)

The probability that it generates either a J or an N all 3 times would be 0.064.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Jason wrote a computer program that randomly generate one of the letters of his name. He runs the program three times.

The probability that it generates either a J or an N all 3 times

[tex](2/5) \times (2/5) \times (2/5)\\\\8/125\\\\0.064[/tex]

Thus, the answer is 0.064.

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Answer:

I think it is D

Step-by-step explanation:

Answer:

A) true

Step-by-step explanation:

when you use the distributive property with the equation 4(2x + y + 6) you get 8x + 4y + 24

Answer:

please explain the questions

Answer:

3.6 cm²

Step-by-step explanation:

18 mm = 1.8 cm

A = 2cm×1.8cm = 3.6 cm²

Your answer would be the third option, 3.6 cm².

The equation for the area of a parallelogram is the same for the area of a rectangle, which is base multiplied by perpendicular height. Because all of the answers are given in cm², we should convert all lengths in mm to cm.

This means that 18mm because 1.8cm (by dividing by 10).

Now we just do 1.8 × 2 = 3.6cm²

I hope this helps!

Answer:

98.0736

Step-by-step explanation:

Answer:

The greatest common factor of 4 and 10 is 2, and the Least common multiple of 4 and 10 is 20

Step-by-step explanation:

We want this expression to fall in one of the two cases:

[tex]\alpha ^ 0 = 1 = 1^\beta[/tex]

So, if the exponent is zero, the base can assume any value, because everything (expect zero) to the power of zero is one.

Similarly, if the base is 1, the exponent can be any number, becuase 1 raised to any exponent is still one.

If we are looking for the "zero exponent" strategy, we simply have to impose

[tex]x+1=0\iff x=-1[/tex]

In this case, the expression becomes [tex]16^0=1[/tex], so we avoided the [tex]0^0[/tex] case and we're good.

If we are looking for the "base equals one" strategy, we must impose

[tex]3x^2-8x+5 = 1 \iff 3x^2-8x+4=0 \iff x=\dfrac{2}{3}\lor x=2[/tex]

Answer:

x = -1, ⅔, 2

Step-by-step explanation:

3x² - 8x + 5

3x² - 3x - 5x + 5

3x(x - 1) - 5(x - 1)

(3x - 5)(x - 1)

[3x² - 8x + 5]^(x+1) = 1

The ourput is 1 when:

1) The power is 0

x + 1 = 0

x = -1

2) base is 1

3x² - 8x + 5 = 1

3x² - 8x + 4 = 0

3x² - 6x - 2x + 4 = 0

3x(x - 2) - 2(x - 2) = 0

(3x - 2)(x - 2) = 0

x = 2 , ⅔

Therefore, 3 solutions

x = -1, ⅔ , 2

≈ 6079 in³

drum = cylinder

d = 2r => r = d/2 = 22in/2 = 11 in

h = 16 in

V = π·r²·h

= 3.14·(11in)²·16in

= 3.14·121in²·16in

= 6079, 04 in³

≈ 6079 in³

Answer:

c the mean would decrease

Step-by-step explanation:

Answer:

C) The mean would decrease!!

Answer:

B

Step-by-step explanation:

Answer:

the answer is the second one

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

3/4(x+3)=9

3/4x+2 1/4=9

3/4x=6 3/4

x=9

Hope this helped :)

Answer:

9

Step-by-step explanation:

3(x+3) =9/4

3(x+3)=9×4

3(x+3)=36

x+3= 3/36

x+3=12

x=12−3

x=9

The Exterior Angle Theorem states that basically ∠ACB and ∠ACD are supplementary, meaning they should equal 180 when added together. Since you know one side of the whole angle is 35, simply do 180-35, which equals 145°.

Answer:

1.915

Step-by-step explanation:

volume= mass/density

37g/19.32=1.91511387

to four significant digits... 1.915

Answer:

y = (-1/4)x + 3

Step-by-step explanation:

The slope of our equation is 4, so to find the slope of the perpendicular equation, we have that:

m1 * m2 = -1

Where m1 is the slope of the first equation and m2 is the slope of the perpendicular equation.

So, we have that:

4 * m2 = -1

m2 = -1/4

So the second equation is y = (-1/4)x + b

If the second equation goes through the point (4,2), for x = 4 we have y = 2, then:

2 = (-1/4)*4 + b

2 = -1 + b

b = 3

So the perpendicular equation is:

y = (-1/4)x + 3

Answer:

Yes, the dimensions will be 2x2

Step-by-step explanation:

When multiplying matrices you have AxB by CxD. You can only multiply matrices if the inner number is the same.

Ex. 2x3 by 3x2 or QxD by DxW

The dimensions of the result will depend on the outer numbers.

Ex. 2x3 by 3x2 has a 2x2 result or QxD by DxW has a QxW result  

Yes, you can multiply a 2x3 matrix by a 3x2 matrix. The result will be a 2x2 matrix because the number of rows in the first matrix and the number of columns in the second matrix define the dimensions of the product matrix.

Yes, it is possible to multiply a 2x3 matrix by a 3x2 matrix. When multiplying matrices, the number of columns in the first matrix must be the same as the number of rows in the second matrix. Therefore, in this case, where we have a 2x3 matrix and a 3x2 matrix, the 3 columns in the first matrix and the 3 rows in the second matrix make multiplication possible.

The resulting product from the multiplication of these two matrices will be a new matrix whose dimensions are determined by the number of rows in the first matrix and the number of columns in the second matrix. In this case, as the first matrix has 2 rows and the second matrix has 2 columns, the resulting matrix will have dimensions of 2x2.

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The given expression can be solved as -3/5.

The given expression is  [tex]\sqrt[3]{\frac{-27}{125} }[/tex].

Here, 27 and 125 can be written as

27 = 3×3×3 = 3³

125 = 5×5×5 = 5³

Now, [tex]\sqrt[3]{\frac{-3^3}{5^3} }= ({\frac{-3^3}{5^3})^{\frac{1}{3} }[/tex]

= -3/5

Therefore, the given expression can be solved as -3/5.

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"Your question is incomplete, probably the complete question/missing part is:"

Evaluate: [tex]\sqrt[3]{\frac{-27}{125} }[/tex]

Answer:

Option A

Step-by-step explanation:

So in other words, an = an-1 + 6 where a1 = 4. Correct on Ed 2020!

Answer:

A

Step-by-step explanation:

Answer:

It's the first option.

Step-by-step explanation:

x^2 - 12x + 27 = - y^2 + 8y

x^2 - 12x + y^2 - 8y = -27    Completing the squares:

(x - 6)^2  - 36  + (y - 4)^2 - 16 = -27

(x - 6)^2 + (y - 4)^2 = -27 + 36 + 16

(x- 6)^2 + (y - 4)^2 = 25 is the standard equation.

The center is at (6, 4) and the radius is 5 units.

Answer:

first option

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² - 12x + 27 = - y² + 8y ( subtract - y² + 8y from both sides )

x² - 12x + y² - 8y + 27 = 0 ( subtract 27 from both sides )

x² - 12x + y² - 8y = - 27

Using the method of completing the square on both the x and y terms

add ( half the coefficient of the x/ y term )² to both sides

x² + 2(- 6)x + 36 + y² + 2(- 4)y + 16 = - 27 + 36 + 16

(x - 6)² + (y - 4)² = 25 ← in standard form

with centre = (6, 4 ) and r² = 25 ⇒ r = [tex]\sqrt{25}[/tex] = 5 → first option

Answer:

The answer is C

Step-by-step explanation:

Answer:

theoretical probability

Answer:

Theoretical Probability

Step-by-step explanation:

The answer is Theoretical Probability

By applying Pythagorean's theorem to right-angled triangle PQR, the length of segment PQ is equal to [tex]\sqrt{29}[/tex] units.

In Mathematics and Geometry, Pythagorean theorem is an Euclidean postulate that can be modeled or represented by the following mathematical equation:

[tex]c^2=a^2+b^2[/tex]

Where:

By applying Pythagorean's theorem to right-angled triangle PQR, the length of segment PQ can be calculated as follows;

[tex]PQ^2=QR^2+PR^2\\\\PQ^2=2^2+5^2\\\\PQ^2=4 + 25\\\\PQ=\sqrt{29}[/tex]units.

Answer:

the right answer is B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Quadrant 2

Step-by-step explanation:

The value of r is 3.75 from the diagram.

We have to find the value of r which is a radius.

ABC is a right angle triangle in the circle.

We find the value of r by using pythagoras theorem.

r²+9²=(6+r)²

r²+9²=36+12r+r²

9²=36+12r

81=36+12r

Subtract 36 from both sides:

81-36=12r

45=12r

Divide both sides by 12:

r=45/12

r=3.75

Hence, the value of r is 3.75.

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