Which of the following illustrates how to find the difference

Answer:

x = 76

Step-by-step explanation:

A line has an angle measurement of 180 degrees.

Knowing that, let's first find the angle measurement of DIJ:

180 - 107 = 73

Angle DIJ has an angle measurement of 73

To find the angle measurement of DJI, we have to apply knowledge of angles in a triangle. When you add all the angles in a triangle, they ALWAYS equal to 180 degrees.

Using that knowledge, we can add 73 and 31 and subtract that value from 180:

73 + 31 = 104

180 - 104 = 76

The angle measurement of Angle DJI is 76.

Because vertical angles are ALWAYS going to have the same angle measurement, Angle AJF is going to have an angle measurement of 76 as well.

So x = 76

Hope that helps (●'◡'●)

Answer:

10:3

Step-by-step explanation:

Make 2 1/2 an improper fraction, you will get 5/2. You dont have to do anything to the 3/4.

For you to find the ratio of an fraction, you have to take the numerator but the denominator has to be the same.

So make 5/2 to a 10/4.

Take the numerator 10 & 3.

Your answer will be 10:3

No problem.

Answer:

x = 9.6

x = - 2.6

Step-by-step explanation:

[tex]x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]

Ignore the before the ± it wouldn't let me type it correctly.

x² - 7x - 25 = 0

a = 1

b = - 7

c = - 25

[tex]x=\frac{-(-7)±\sqrt{-7^{2}-4((1)(-25)) } }{2(1)}[/tex]

[tex]x=\frac{7±\sqrt{49-4((1)(-25)) } }{2(1)}[/tex]

[tex]x=\frac{7±\sqrt{49+100 } }{2(1)}[/tex]

[tex]x=\frac{7±\sqrt{149 } }{2}[/tex]

[tex]x=\frac{7±12.2}{2}[/tex]

Two separate equations

[tex]x=\frac{7+12.2}{2}[/tex]

[tex]x=\frac{7-12.2}{2}[/tex]

[tex]x=\frac{7+12.2}{2}[/tex]

[tex]x=\frac{19.2}{2}[/tex]

x = 9.6

[tex]x=\frac{7-12.2}{2}[/tex]

[tex]x=\frac{-5.2}{2}[/tex]

x = - 2.6

For this just use the quadratic formula to find the zeros. In this case, you get 7 +/- square root 149 over 2. Which gives you -2.6 and 9.6.

(4) y = (3 - 2x)³ + 24x

Use the power and chain rules:

dy/dx = 3 (3 - 2x)² d/dx [3 - 2x] + 24

dy/dx = 3 (3 - 2x)² (-2) + 24

dy/dx = -24x ² + 72x - 30

(5) y = 54x - (2x - 7)³

Same basic procedure:

dy/dx = 54 - 3 (2x - 7)² d/dx [2x - 7]

dy/dx = 54 - 3 (2x - 7)² (2)

dy/dx = -24x ² + 168x - 240

Answer: 332 cubic inches

Step-by-step explanation:

You can eliminate 69 and 99 as those answers don't make any sense. This leaves you with 703 and 332.

It says the wall of the pipe is 1.25 inches thick so you multiply that by 2 and subtract it by the diameter to get the insider diameter of 5.5

Now you just use the equation V = (3.14)(r^2)(14) where the radius is half of 5.5.

So to finalize the equation you get V = (3.14)(5.5)^2(14) which comes out to 332 cubic inches

The best choice is 332 cubic inches.

69 cubic inches and 99 cubic inches are less and 703 cubic inches is a large approximation.

Diameter = d= 8 inches

Height= Length = l= 14 inches

Thickness= 1.25 inches

Outer Radius= R= diameter/2= 8/2=4 inches

Inner radius = r= Radius - thickness

                            = 4- 1.25= 2.75 inches

Volume of the cylinder = Area × length

                                      = π r²× l

                                       = 22/7 × (2.75)² × 14

                                          = 332. 616 inches cube

So the best answer is 332 cubic inches

https://brainly.com/question/21067083

Answer:

1/425

Step-by-step explanation:

The first card can be any card, so we don’t have to evaluate the probability.

Now we can suppose that the exit card is a two

- For the second card we have 3/51 of possibilities that is a 2 = 1/17

- For the third card we have 2/50 of possibilities that is a 2 = 1/25

1/17 * 1/25 = 1/425

Answer:

below

Step-by-step explanation:

A AND C is the right option

congruent angles are angles with exactly the same measure

Answer:

y=6

Step-by-step explanation:

Differentiate the equation

dy/dx=2x-8

Find the value of x in equation form

2x-8=0

x=8/2=4

Now x=4 is the line of symmetry or the parabola of the quadratic equation.

Plug back x=4 into the equation to find the turning point(minimum value)

y=(4)²-8(4)+22

y=16-32+22

y=6

Answer:

(4 , 6) is the vertex. I guess that can be called the "turning point"

Step-by-step explanation:

Use vertex formula : x =  [tex]\frac{-b}{2a}[/tex]

x = [tex]\frac{-(-8)}{(2)(1)}[/tex] = [tex]\frac{8}{2}[/tex] = 4

Substitute x in original equation and solve for y:

y = [tex]4^{2}[/tex] - 8(4) + 22

y = 16 - 32 + 22

y = 6

Answer:

The number of newborns who weighed between 1614 grams and 5182 grams was of 586.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set 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]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean weight was 3398 grams with a standard deviation of 892 grams.

This means that [tex]\mu = 3398, \sigma = 892[/tex]

Proportion that weighed between 1614 and 5182 grams:

p-value of Z when X = 5182 subtracted by the p-value of Z when X = 1614.

X = 5182

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

[tex]Z = \frac{5182 - 3398}{892}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a p-value of 0.9772

X = 1614

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

[tex]Z = \frac{1614 - 3398}{892}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228

0.9772 - 0.0228 = 0.9544.

Out of 614 babies:

0.9544*614 = 586

The number of newborns who weighed between 1614 grams and 5182 grams was of 586.

Answer:

A. rotation 180º about the origin

Step-by-step explanation:

Taking two points:

Old coordinates:

Q(2,0), F(2,4)

New coordinates:

Q'(-2,0), F(-2,-4)

The rule is:

(x,y) -> (-x,-y)

Which describes a rotation of 180º about the origin, and the correct answer is given by option a.

Answer:

(0 ; 3)

Step-by-step explanation:

hello :

the midpoint of the line segment is : ((-2+2)/2 ;(-2+8)/2 )

(0 ; 3)

Solution :

Group   Before     After

Mean    693.75    743.75

Sd         155.37     143.92

SEM        54.93     50.88

n              8            8

Null hypothesis : The preparation course not effective.

[tex]$H_0: \mu_d = 0$[/tex]

Alternative hypothesis : The preparation course is effective in improving the exam scores.

[tex]$H_a : \mu_d>0$[/tex]  (after -  before)

Answer:

[tex] {r}^{2} - 4s + {s}^{2} = 8r + 2s = 28 \\ \\ r = \frac{24}{5 } - i \frac{ \sqrt[4]{129} }{5} \\ \: s = \frac{58}{5} + i \frac{ \sqrt[2]{129} }{5 } \\ \\ r = \frac{24}{5} + i \frac{ \sqrt[4]{129} }{5} \\ s = \frac{58}{5} - i \frac{ \sqrt[2]{129} }{5} [/tex]

Answer:

Step-by-step explanation:

There are no statements provided, but since it is modeled after the linear function y = mx + b, it is a line. m is the slope or rate of change (which is constant; that's what makes this a line!), and b is the y-intercept (the value of y when x is equal to 0). Its slope is 4 (the function raises 4 units for every 1 unit it moves to the right). Its y-intercept is 8, having the coordinate (0, 8).

Answer:

y = 4x + 8 is a linear function.

Step-by-step explanation:

No statements are given, but here's why:

- It's in slope-intercept form, y = mx + b.

- It has a constant slope.

- A non-linear function does not have a constant slope, and this one does.

Answer:

7/3

Step-by-step explanation:

and means sum

(8+1/3) ÷ (3+4/7)

25/3 ÷ 25/7

25/3 × 7/25

=7/3

Answer:

no

Step-by-step explanation:

Answer:

A is the correct answer!

9514 1404 393

Answer:

  C.  (45+11i)/29

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  [tex]\dfrac{5-7i}{2-5i}=\dfrac{(5-7i)(2+5i)}{(2-5i)(2+5i)}=\dfrac{(5)(2)+(-7i)(5i) +(5)(5i)+(-7i)(2)}{2^2+5^2}\\\\=\dfrac{(10+35)+(24-14)i}{29}=\boxed{\dfrac{45}{29}+\dfrac{11}{29}i}[/tex]

Answer:

k = 5

Step-by-step explanation:

Show that :

Lim n → ∞    Sₙ = KD  where k = 1/s

first step : (  write out the equation for  Sₙ )

Sₙ = [tex]\frac{D(1-C^n)}{1-C}[/tex]  

From Lim n → ∞     the value of c lies between 0 and 1

attached below is the required prove

K = 1/s = 1/0.2 = 5

Answer:

0.5679

Step-by-step explanation:

From. The table Given above :

The probability of female Given an advanced degree ;

P(F|A) = p(FnA) / p(A)

From the table, p(FnA) = 322

P(Advanced degree), P(A) = (245 + 322) = 567

Hence,

P(F|A) = p(FnA) / p(A) = 322 / 567 = 0.5679

Answer:

Step-by-step explanation:

Let many universities and colleges have conducted supplemental instruction(SI) programs. In that a student facilitator he meets the students group regularly who are enrolled in the course to promote discussion of course material and enhance subject mastery.

Here the students in a large statistics group are classified into two groups:

1). Control group: This group will not participate in SI and

2). Treatment group: This group will participate in SI.

a)Suppose they are samples from an existing population, Then it would be the population of students who are taking the course in question and who had supplemental instruction. And this would be same as the sample. Here we can guess that this is a conceptual population - The students who might take the class and get SI.

b)Some students might be more motivated, and they might spend the extra time in the SI sessions and do better. Here they have done better anyway because of their motivation. There is other possibility that some students have weak background and know it and take the exam, But still do not do as well as the others. Here we cannot separate out the effect of the SI from a lot of possibilities if you allow students to choose.

The random assignment guarantees ‘Unbiased’ results - good students and bad are just as likely to get the SI or control.

c)There wouldn't be any basis for comparison otherwise.

Answer:

10 + 8 + 10 + 10 + 10 + 10 + 8 + 8 + 6 + 6

Step-by-step explanation:

[tex]a_3 [/tex] = - 4

[tex]a_3 [/tex] = a* + (3- 1) d*

- 4 = a + 2d . . . . . . . . .(i)

[tex]a_8 [/tex] = - 29

[tex]a_8 [/tex] = a + ( 8 - 1) d

- 29 = a + 7d . . . . . . . . (ii)

subtracting equations (i) and (ii)

25 = 5d

d = -5

placing d = -5 in equation (i)

a - 10 = -4

a = 6

For an arithmetic Progtession

[tex]a_n [/tex] = a + (n - 1)d

[tex]a_n [/tex] = 6 + (n- 1)-5

[tex]a_n [/tex] = 6 - 5n + 5

[tex] \underline {a_n = 11 - 5n }[/tex]

[tex]\\[/tex]

*[tex] \boxed{ \mathfrak { a \:stands\: for\: first\: term } } [/tex]

*[tex] \boxed{ \mathfrak { d \:stands\: for\: common \: difference } } [/tex]

Answer:

General rule » -5n+11

Step-by-step explanation:

a3 = a+2d = -4 .......(1)

a8=a+7d = -29..........(2)

(2)-(1) » 5d= -25

d = -25/5

. = -5

substitute d = -5 in ( 1)

» a-2×-5= -4

a-10 = -4

a = -4 +10

= 6

General rule » a +(n-1)d

» 6 +(n-1)×-5

» 6-5n+5

» -5n+11

Answer:

See Explanation

Step-by-step explanation:

Given

Let

[tex]s \to Strawberry[/tex]

[tex]b \to Banana[/tex]

So:

[tex]s:b = 2:3[/tex]

Required

Complete the table

The table, to be complete, is not given; so, I will generate one myself.

The table is generated as follows:

Multiply by 1.5

[tex]s : b = 3 : 4.5[/tex]

Multiply by 2

[tex]s : b = 2*2 : 2 * 3[/tex]

[tex]s : b = 4 : 6[/tex]

And so on....

In summary, whatever factor is multiplied to S must be multiplied to B

Answer:

y=3x^2 - 2x+1

Step-by-step explanation:

check desmos attachment

RED y=3x^2 - 2x+1

BLUE y=3x^2 - 6x + 3

GREEN y=3x^2 - 7x+1

PURPLE  y=3x^2 - 4x+2

Answer:

8

Step-by-step explanation:

Answer:

write anser is 33/49 1 st one.

Step-by-step explanation:

hope it helps you

Answer:

3:8

Step-by-step explanation:

i will gadit

that only