In the diagram, JK is congruent to GI. Solve for x if HJ = 3x, HK = 2x, KI = 6x, and JG = 18 units.

The null hypothesis is that the proportions are 0.30, 0.20, 0.20, 0.20, 0.10 and the alternative hypothesis is that the proportions are not as given above.

It should be noted that the null hypothesis is the theory that states that there is no statistical relationship between the variables.

In this case, the Chi square test can be run to get the desired information. Therefore, X² was gotten as 19.597. The degree of freedom is 4 and the p value is 0.0006 from the distribution table.

In this case, the critical value of 0.006 is less than the 0.05. Therefore, we need to reject the null hypothesis.

This implies that there's evidence that the distribution doesn't correlate with what we've.

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The combined mean of the 14 people's index finger is: 12.75 cm.

Combined mean = [(mean of first group × number of data of the first group) + (mean of second group × number of data of the second group)] ÷ (number of data of the first group + number of data of the second group).

Given the following:

Mean of first group = 7.8

Number of data of the first group = 7

Mean of second group = 17.7

Number of data of the second group = 7

Combined mean = [(7.8 × 7) + (17.7 × 7)] / (7 + 7)

Combined mean = 178.5 / 14

Combined mean = 12.75 cm.

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None of the three points (A, B, C) lies on the circumference of the unit circle.

Unit circles are circles centered at the origin and with a radius of 1. A point is on the circumference if and only if the distance of the point respect to the origin is equal to 1. The distance of each point is determine by Pythagorean theorem:

Point A

[tex]d = \sqrt{4^{2}+3^{2}}[/tex]

d = 5

Point B

[tex]d = \sqrt{\left(\frac{1}{2} \right)^{2}+\left(\frac{1}{5}\right)^{2} }[/tex]

d = √29 /10

d ≈ 0.539

Point C

[tex]d = \sqrt{\left(\frac{3}{4} \right)^{2}+\left(\frac{7}{4} \right)^{2}}[/tex]

d = √58 /4

d ≈ 1.904

None of the three points (A, B, C) lies on the circumference of the unit circle.

The statement presents a typing mistake, correct form is shown below:

A(x, y) = (4, 3), B(x, y) = (1/2, 1/5), C(x, y) = (3/4, 7/4). Which point lies on the circumference of the unit circle?

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Using the Empirical Rule, it is found that:

a) 68% of the widget weights lie between 35 and 57.

b) The percentage is 81.5%.

c) The percentage is 99.85%.

It states that, for a normally distributed random variable:

For this problem, we have that:

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Answer:

35 2/3

Step-by-step explanation:

49 1/3 - 13 2/3

First convert both into improper fractions, which is

148/3 - 41/3

Then subtract!

107/3

Next simplify the fraction.

35 2/3

The area of the rectangular field is 468cm².

Step-by-step explanation:

If, length is 18cm; width is unknown( let x represent width). Then,

Perimeter of a rectangle= Length + Width+ Length + Width

88= 18 + x + 18 + x

88= 36 + 2x

88-36 =2x

52= 2x

52/2=2x/2

26=x

•x=26cm

The width of the rectangle is 26cm.

Area of a rectangle= Length × Width

=18cm×26cm

= 468cm².

Answer:

India score 290 more than pakistan

Step-by-step explanation:

India score 20 more

Answer:i would need to see the graph but here is what i think you are talking about and it shows how to it popular-    problems  /Algebra/  262080

Step-by-step explanation:

Answer: man i wish i knew

Step-by-step explanation:

[tex]f(x) = 7x {}^{2} - 3x {}^{4} [/tex]

519 children chose apple slices.

Given that Daisy's Diner offers a side dish of broccoli, apple slices, or pretzels with their kids' meals, and last weekend, they sold 1,038 kids' meals, and twice as many kids chose pretzels as chose broccoli and 3 times as many chose apple slices as chose broccoli, to determine how many kids chose apple slices, the following calculation must be performed:

Therefore, 519 children chose apple slices.

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Answer:519 children chose apple slices.

Step-by-step explanation:

Answer:

C & D

Step-by-step explanation:

A. 4 is greater than 0, so use the third equation to find f(x). 4*4 - 1 = 15, so A is wrong.

B. -2 is less than 0, so use the first equation to find f(x). -(-2) + 1 = 3, so B is also wrong.

C. -1 is less than 0, so use the first equation to find f(x). -(-1) + 1 = 2, so C is correct.

D. 1 is greater than 0, so use the third equation to find f(x). 1*1 - 1 = 0, so D is also correct.

The amount borrowed is 2795

Principal is the amount loaned or invested in a bank or a financial institution that gives a certain interest on a specific rate over a period of time.

Analysis:

P = principal = unknown

R = rate = 9.25%

T = time = 3.5 years

I  = interest = 904.88

simple interest(I) = PRT/100

P = 100I/RT

P = 100 x 904.88/3.5 x 9.25 = 2795

In conclusion, the amount borrowed is 2795.

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The arc length of the partial circle is 7.5π

From the question, we are to determine the arc length of the partial circle

The length of an arc can be calculated by using the formula

[tex]l = \frac{\theta}{360^\circ} \times 2\pi r[/tex]

Where [tex]l[/tex] is the length of the arc

[tex]\theta[/tex] is the angle subtended

and r is the radius

From the diagram,

θ = 270°

r = 5

Putting the values into the equation, we get

[tex]l = \frac{270 ^\circ}{360^\circ} \times 2\pi \times 5[/tex]

[tex]l = \frac{3}{4} \times 2\pi \times 5[/tex]

[tex]l = \frac{30\pi}{4}[/tex]

[tex]l = \frac{15}{2}\pi[/tex] OR 7.5π

Hence, the arc length of the partial circle is 7.5π

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Answer:

0

Step-by-step explanation:

Since the x coordinate is -1, 2+t = -1, and thus t = -3.

So, y = 1+(3/(-3)) = 0.

At 90 degrees, the tangent of x is undefinable.

The domain of y = tan (x):

y = tan(x)

Except for 90, all sets of positive real numbers fall within the domain of y = tan(x).

At 90 degrees, the tangent of x is undefinable.

Due to the exclusion of 90, all sets of positive real numbers are included in the domain of y = tan(x).

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Answer:

B

Step-by-step explanation:

1-cos2x=2sin²(x/2)

[tex]sin^2(\frac{x}{2} )=\frac{(1-cos(2x))}{2}\\(sin^2(\frac{x}{2} ))(1+cos(x))= \frac{(1-cos(2x))(1+cos(x))}{2}[/tex]

Answer:

40. 398nine

41: 432six

42: 14714eight

Step-by-step explanation:

765-367=398

The 'nine' is probably confusing you

3x144=432

The 'six' is there to confuse you.

2x7357=14714

The 'eight' is again here to confuse you.

Ignore the 'six' and 'eight' and 'nine' they are making it harder for no reason

The area of the large rectangle by using the strategy is; 168cm².

The area of the rectangle can be determined by multiplying the length and width of the rectangle as follows;

Area = Length × width

Area = (10cm + 4cm) × (10cm × 2cm)

Area = (100+20+40+8)cm²

Area = 168 cm².

The strategy used above entails that the two binomials used to represent the length and width of the rectangle are multiplied according to binomial multiplication.

The strategy is that each term of the first binomials is used to multiply the terms in the second polynomial and the aggregate result of the multiplications is determined.

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Using proportions, the numbers that the arrows are pointing to are:

a) 62.

b) 8.8.

c) 2.8.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In item a, the arrow is 2/10 of the way from 60 to 70, hence the number is:

60 + 0.2(70 - 60) = 60 + 2 = 62.

In item b, the arrow is 8/10 of the way from 8 to 9, hence the number is:

8 + 0.8(9 - 8) = 8.8.

In item c, the arrow is 3/10 of the way from 2.5 to 3.5, hence the number is:

2.5 + 0.3(3.5 - 2.5) = 2.8.

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The 12th fastest time a goose took to join the gaggle is 49 seconds.

A Stem and Leaf Plot is a type of graph where the data is divided into a stem (the first digit or digits) and a leaf (usually the last digit).

The data in the stem plot arranged from the first fastest time it takes a goose to join the gaggle is: 13, 14, 15, 19, 19, 21, 27, 27, 28, 32, 45, 49, 49, 62, 62.

The 12th fastest time is 49

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Answer:

[tex](-\infty, -1) \cup (0, \infty)[/tex]

Step-by-step explanation:

The function is decreasing if, as x increases, the value of the function (y) gets smaller.  This means as you read the graph from left-to-right, the function is decreasing if the graph is falling.

From -infinity to -1, the graph is falling, then the graph rises (f is increasing) until x =0, then the graph falls again from x = 0 to infinity.

Answer:

$4800

Step-by-step explanation:

Let's use the simple interest formula, P(1+rt), to find the final amount of the loan

10000(1+.12*4) = 14800, the final amount

14800 - 10000 = 4800 total in interest

Answer:

a = 103°

b = 103°

c = 97°

d = 83°

e = 154°

Using secant rule, the value of variable x in the diagram is 10.

A secant is a line that intersect a circle in two points.

Therefore, the following rule guides a secant.

(x + 32)32 = (20 + 28)28

Hence,

32x + 1024 = (48)28

32x + 1024 = 1344

32x = 1344 - 1024

32x = 320

divide both sides by 32

32x / 32 = 320 / 32

x = 10

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Answer:

y = -2x + 4

Step-by-step explanation:

The x-intercept would be the point (2,0) and the y intercept would have the point (0,4).  Once we know two points we can write the equation in the line intercept for of y = mx + b.  

We need to find the slope and the y intercept.  The slope is the steepness of the line and it is the change in y over the change in x.

The ordered pairs are written in  the form of (x, y).  From our two points, we will subtract the y's to find the top number of our fraction.

0 - 4 = -4 that is the numerator (top number) of our slope.  We do the same with the two x numbers that we have been given.

2 - 0 = 2  This is our numerator (or bottom number of our slope)

Our slope is -4 /2 to simplify, we divide the top and bottom number by 2 to get -2 / or just -2

Now that we have the slope we need to find the y-intercept.  We can use either of our original two points and our slope to determine the y-intercept.  It does not matter if you use the point (2,0) or (0,4).  I will use (2,0) and the slope of -2

y = mx + b

0 = -2(2) + b  

0 = -4 + b   add 4 to both sides of the equation

4 = b

Now that we have the slope and the y-intercept, we can write the equation

y = mx + b

y = -2x + 4

First, we need to understand that these two triangles are

similar.

we know this because their lines (the arrows) prove they are the same direction. A similar triangle does

NOT mean they are proportional,

they are just similar by ratio.

Lets call the triangle on the left ABC and the triangle on the right A'B'C'.

I will attach an image of the labels.

Because they are similar triangles, angle A is the same as angle A'. Angle B is the same as angle B', angle C is the same as angle C'.

Based on that information, we know xº is = 65º. We know that the interior angles add up to 180º. So for triangle A'B'C', we can do 180º-40º-65º which is 70º. This means angle C' is 70º.

Now the important part is getting yº. A line is 180º. That means that 180º-70º=yº which is 110º.

If you do not understand anything, please let me know and I will try to teach you.

Answer:

45° rotation clockwise

Step-by-step explanation:

When you plot these on the graph, the non prime ones are on quadrant 2 and when you plot the prime ones, it is on quadrant 1. This means that it is 45° to the right(clockwise)

⬇️red is prime blue is regular ⬇️

The two kinds of formula are used in the excel . One from the data analysis the t test assuming equal variances as nothing was mentioned. But if the t test for the means is used there might be slight variation in the values.

The other formula was of descriptive statistics.

The data was

No of feedback (sec) Feedback (sec) Difference

45 54 9

33 50 17

59 58 -1

32 38 6

30 42 12

27 35 8

29 38 9

59 66 7

64 65 1

38 55 17

The null hypothesis is accepted because t stat= -1.322 is less than t critical which is  t critical= ±2.119  and lies in the acceptance region.

The p- value is 2.04 which is greater than alpha= 0.05

The t stat for 0.01=  4.561578674 and t Critical two-tail 3.249835541

The t stat is greater than t critical at alpha 0.01 so it is rejected.

The difference t test gives

Count=N   9                  9

Mean       41.2             49.67

Mean Difference  8.4

Standard Deviation  14.967       11.97

Variance        223.944  143.25

Standard Error 2.0824

t       = -1.322

df = 16

t Critical two-tail 2.119905285

Confidence Level(95.0%) 4.802039614

Lower CI (95.0%) =  3.6

Upper CI(95.0%)=  13.2

t stat for 0.01=  4.561578674

t Critical two-tail 3.249835541

Confidence Level(99.0%) 6.055710988

Lower CI (99.0%) =  2.345

Upper CI(99.0%)=  14.457

For values between 3.6 and 13.2 we are 95% confident that there is no difference between the means of two given data values.

The null hypothesis is accepted because t stat= -1.322 is less than t critical which is  t critical= ±2.119  and lies in the acceptance region.

The p- value is 2.04 which is greater than alpha= 0.05

The t stat for 0.01=  4.561578674 and t Critical two-tail 3.249835541

The t stat is greater than t critical at alpha 0.01 so it is rejected.

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Answer:

0

Step-by-step explanation:

On a graph, any line that is horizontal has a slope of zero. Try any points and and plug them into the slope formula equation

(Y2-Y1/X2-X1).

The answer will always be zero.

Answer:

25x-4

Step-by-step explanation:

3x+10x

+ 2x. -4

=5x+10x-4

=15x-4