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The grouped frequency distribution for the data with the given intervals is 2, 4, 2 and 2 respectively.

Given that, ten cyclists were each asked the distance in miles they biked last week. The distance travelled by 10 cyclists is 3, 20, 6, 3, 7, 8, 13, 10, 18 and 12.

We need to complete the grouped frequency distribution for the data.

In this type, the data is arranged and separated into groups called class intervals. The frequency of data belonging to each class interval is noted in a frequency distribution table. The grouped frequency table shows the distribution of frequencies in class intervals.

Now, the frequency distribution for the given intervals is as follows:

That is, for intervals 1 to 5 the frequency is 2.

For intervals 5 to 10 the frequency is 4.

For intervals 11 to 15 the frequency is 2.

For intervals 16 to 20 the frequency is 2.

Therefore, the grouped frequency distribution for the data with the given intervals is 2, 4, 2 and 2 respectively.

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Answer:

c)

Step-by-step explanation:

Answer:

2x - 4

Step-by-step explanation:

f(x) = x - 7

= 2x + 3 - 7

= 2x - 4

Answer:

Slope is -2

y intercept is -3

Equation :y=-2x-3

Step-by-step explanation:

Answer:

3:1 is a unit rate

Step-by-step explanation:

Answer:

hi.......................

Step-by-step explanation:

stop being a selfish point grabber dude, its effed up. i needed help on that question and you screwed it up :|

Answer: A, B, C, and E

Step-by-step explanation:

If both sides are real numbers, then the product will be a real number.

If in at least one of the sides we have a complex number, then the product will be real if:

The other number is zero.

The other number is the conjugate of the first.

This is when:

Suppose we have a number:

z = a + b*i

The conjugate will be:

w = a - b*i

And the product between them is:

(a + b*i)*(a - b*i) = a^2 + a*b*i - a*b*i + b^2 = a^2 + b^2

Then the options that will have a real answer are:

A. (4+5i)(4-5i) = 4^2 + 5^2 = 16 + 25 = 41

B. (4 + 91)*(41 - 9) = 3040

C. (3 + 2*i)*(3 -2*i) = 3^2 + 2^2 = 9 + 4 = 13

E. (312 + 7i)*(312 - 7i) = 312^2 + 7^2 = 97,393

[tex]f(x)=2x^2+6x-4[/tex]

Find the f(-5) by substituting x = -5 in the equation.

[tex]f(-5)=2(-5)^2+6(-5)-4\\f(-5)=2(25)-30-4\\f(-5)=50-34\\f(-5)=16[/tex]

Therefore, the answer is f(-5) = 16.

Answer:

5/100

1/20

Step-by-step explanation:

Answer: 5/100

Step-by-step explanation:

9514 1404 393

Answer:

  see below

Step-by-step explanation:

When the intercepts are given, plot those and draw a line through them.

_____

Additional comment

The equation shown with the graph is the equation of a line in "intercept form." It is especially useful in a case like this where the intercepts are given.

Answer:

i think it might be 15m

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Just took the exam

Using confidence interval concepts, it is found that the margin of error is 5.

A confidence interval (CI) is a range of estimates for an unknown parameter in frequentist statistics. A confidence interval has the format (a,b).

The margin of error is half the difference between the two bounds, that is:

M  =  (  b  -  a  )  /  2

In this problem, the interval is (32, 42), hence, and the margin of error is:

M  =  (  42  -  32 )  /  2  =  10  /  2  =  5

Therefore the margin of error is 5.

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Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=\:x^2\:+8x+4[/tex]

Let's rewrite the function by completing the square.

[tex]0=x^2+8x+4[/tex]

Subtract 4 from both sides

[tex]x^2+8x+4-4=0-4[/tex]

Simplify

[tex]x^2+8x=-4[/tex]

Rewrite in the form (x+a)²=b

[tex]x^2+8x=-4[/tex]

Rewrite in the form x²+2ax+a²

solve for a, 2ax = 8x

[tex]2ax=8x[/tex]

Divide both sides by 2x

[tex]\frac{2ax}{2x}=\frac{8x}{2x}[/tex]

simplify

[tex]a = 4[/tex]

Add a²=4² to both sides

[tex]x^2+8x+4^2=-4+4^2[/tex]

[tex]x^2+8x+4^2=12[/tex]

Apply perfect square formula

(a+b)²= a²+2ab+b²

[tex]\left(x+4\right)^2=12[/tex]               ∵ [tex]x^2+8x+4^2=\left(x+4\right)^2[/tex]

Thus,

[tex]\left(x+4\right)^2=12[/tex]

Answer:

11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

g(x) = x³ - 4

h(x) = x² + 2

h(-2) is x = -2

g(-1) is x = -1

Step 2: Find h(-2) - g(-1)

Answer:

1.7 everyday

Step-by-step explanation:

Answer:

the answer above is correct

Answer:

boxes

7

8

58.1

119.7

Step-by-step explanation:

look when u solve this it equals

8.3(7)+7.7(8)=119.7 but it tells u to add 61.6 so u go backwards subtract

119.7-61.6

58.1

just plug in

8.3(7)+7.7(8)=____+61.6

plug in

58.1+61.6

119.7

Answer:

A.) The inequality 25m + 70 < 350 represents the fact that the student must save more than $11.20 each week to meet the goal. I hope this helped u :)

Step-by-step explanation:

25 x 11.20 = 280

280+70=$350

but since the student wants to save more than $350 that's why it says the student must save MORE than $11.20 each week :)

answear is 7/17 hope its useful

Answer:

36  x 2 - 49 y 2

Step-by-step explanation:

6  x (6x) +6 x ( - 7 y ) + 7 y (6x) +7 y ( - 7 y)

Answer:

A

Step-by-step explanation:

I found out bc I got the answer wrong then it gave me the right answer which is A:)

Answer:

No lo sé, pero intentaré encontrar una respuesta

Step-by-step explanation:

Answer: Many people assume that because DNA is so small, we can't see it without powerful microscopes. But in fact, DNA can be easily seen with the naked eye when collected from thousands of cells.

Answer:

D:3

Step-by-step explanation:

Answer:

x−2x4+2x3−7x2−8x+12=x3+4x2+x−6

The rational root theorem suggests that other possible roots may be -6, 6, -3, 3, -2, 2, -1, and 1. It turns out that x=-2x=−2 is a root, since (-2)^3+4(-2)^2+(-2)-6=0(−2)3+4(−2)2+(−2)−6=0 , so x+2x+2 is also a factor and we have

\dfrac{x^4+2x^3-7x^2-8x+12}{(x-2)(x+2)}=x^2+2x-3(x−2)(x+2)x4+2x3−7x2−8x+12=x2+2x−3

Finally, we can factorize the remaining quotient easily:

x^2+2x-3=(x+3)(x-1)x2+2x−3=(x+3)(x−1)

so the other factors are x+2x+2 , x+3x+3 , and x-1x−1 .

Answer: 31 degrees

Step-by-step explanation:

The student must incline her camera at 31 degrees to take the picture of bird.

The angle of inclination of a line is the angle formed by the intersection of the line and x-axis.

According to the given question

height of pole = 12m

distance of student from the pole = 20m

Let the angle of inclination be x degrees.

therefore

for the angle of inclination

In ΔABC we have

[tex]tanx=\frac{12}{20}[/tex]

[tex]tanx=\frac{3}{5}[/tex]

[tex]x=tan^{-1} \frac{3}{5}[/tex]

[tex]x = tan^{-1}( 0.6)[/tex]

x = 31 degrees

Hence, the student must incline her camera at 31 degrees to take the picture of bird.

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