For the diagram below ,The Value of q , r is

Answer:

a_n = 50 - 5n, for n = 1,2, 3, ...

Step-by-step explanation:

a_1 = 50

a_2 = 50 - 5 = 45

a_3 = 50 - 2 * 5 = 40

a_n = 50 - (n - 1) * 5

a_n = 50 - 5n + 5

a_n = 50 - 5n

Answer:

an = -5n + 55.

Step-by-step explanation:

This is arithmetic with common difference -5.

an = a1 + d(n-1)

an = 50  - 5(n - 1)

an = 50 - 5n + 5

an = -5n + 55.

Answer:

x = 6

Step-by-step explanation:

Each side of the triangle = x cm

Each side of the square = (x - 1.5) cm

Given that the perimeter of both shapes are equal, thus, set the perimeter of the triangle equal to the perimeter of the square to solve for x.

Perimeter of triangle = 3(x) = 3x cm

Perimeter of square = 4(x - 1.5) = 4x - 6

Therefore:

Perimeter of triangle = perimeter of square

Substitute

3x = 4x - 6

Subtract 4x from each side

3x - 4x = -6

-x = -6

Divide both sides by -1

x = -6/-1

x = 6

Answer:

y = ⁷/5x + 13/10

Step-by-step explanation:

Recall: equation in slope-intercept form is given as y = mx + b

Thus, let's rewrite 14x - 10y = -13 in this form.

14x - 10y = -13

Add -14x to both sides

-10y = -14x - 13

Divide both sides by -10

-10y/-10 = -14x/-10 - 13/-10

y = ⁷/5x + 13/10

Answer:

4.376%

Step-by-step explanation:

$21.88/$500 x 100= 4.376%

1)+4

2)-4

3) 2

4) i don't know

5)

Answer: (-2)²=4

-2²=-4

square root of 4 is 2

1 over the square root of 8 is -2

1 aquare root of -8 is 2,-2

Step-by-step explanation:plug them into calculator

Answer:

b

Step-by-step explanation:

i dont know

its a guess

The height of the larger cone is 35/4.

Similar figures are those figures which are having the same shape, but the sizes are different.

The dimensions of the similar figures will be proportional.

So the heights and the radius of the smaller and the larger cone are proportional.

Using the concept,

x / 5 = 7 / 4

Cross multiplying,

4x = 35

x = 35/4

Hence the height of the larger cone is 35/4.

Learn more about Similar figures here :

https://brainly.com/question/20368229

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Answer:

1e+12

Step-by-step explanation:

because 8 exponents of 10 would be    i cannot count and 4 exponents of 10 is 10,000.

Any Questions?

Answer: He threw it 48 yards

Step-by-step explanation:

Answer:

Sum of given fraction = 13 / 15

Step-by-step explanation:

Given fraction:

2/3 + 1/5

Find:

Sum of given fraction

Computation:

⇒ 2/3 + 1/5

Step 1 :

By taking LCM of Denominator 3 and 5

⇒ LCM of 3 and 5 is 15

So,

2 multiply by 5 and 1 multiply by 3 and add after multiply

Sum of given fraction ⇒ [(2 x 5) + (1 x 3)] / 15

Sum of given fraction ⇒ [10 + 3] / 15

Sum of given fraction = 13 / 15

Answer:

11

Step-by-step explanation:

cross multiply - 2(2x-4) = 3(x=1)

4x - 8 = 3x + 3

4x - 3x = 3 + 8

x = 11

Answer:

x = 11

Step-by-step explanation:

2(2x-4) = 3(x+1)

4x-8=3x+3

4x-3x=3+8

x=11

Answer:

the length of the opposite side (x), is 27.2

Step-by-step explanation:

For the given right triangle problem;

the opposite side of the given angle, opp. = 22

the hypothenuse side,  hypo. = x

given angle of the triangle, θ = 54⁰

The length of the opposite side (x), is calculated as follows;

[tex]sin \ \theta = \frac{opp.}{hypo.} \\\\sin (54) = \frac{22}{x} \\\\x = \frac{22}{sin(54)} \\\\x = 27.2[/tex]

Therefore, the length of the opposite side (x), is 27.2

Answer:

a.) one sample t test

b.) H0 : μ = 59.3

c.) H1 : μ > 59.3

d.) μ = 59.3 ; σ = 39.84

e.) xbar = 79.4 ; s = 61.36

Test statistic = 3.16

Step-by-step explanation:

Given the sample data:

49.00 49.00 49.00 49.00 49.00 63.00 63.00 63.00 63.00 63.00 199.00 199.00 199.00 199.00 199.00 38.00 38.00 38.00 38.00 38.00 48.00 48.00 48.00 48.00 48.00 49.00 63.00 199.00 38.00 48.00

Sample size, n = 30

Using calculator :

xbar from the data above = 79.4

Standard deviation = 61.359

H0 : μ = 59.3

H1 : μ > 59.3

Test statistic :

(Xbar - μ) ÷ (σ/sqrt(n)

σ = 34.83

(79.4 - 59.3) ÷ (34.83/sqrt(30))

20.1 ÷ 6.359

Test statistic = 3.16

Answer:

13cm

Step-by-step explanation:

Let the length of each side be x;

Using the pythagoras theorem

l² = x² + x²

l is the length of the diagonal

l² = 2x²

19² = 2x²

361 = 2x²

x² = 361/2

x² = 180.5

x =√180.5

x = 13

hence the length of each side of the square is closest to 13cm

Answer:

1386 cm²

Step-by-step explanation:

Here's your answer!

Hope it helps :)

Answer:

1386.56m²

Step-by-step explanation:

A=C2

4π

Circumference^2/4(3.14)

Answer:

Width of rectangle = 4 ft

Step-by-step explanation:

Given:

Area of rectangle = 48 ft²

Length of rectangle = 3[Width of rectangle]

Find:

Width of rectangle

Computation:

Assume;

Width of rectangle = a

So,

Length of rectangle = 3[Width of rectangle]

Length of rectangle = 3a

Area of rectangle = l x b

48 = 3a x a

3a² = 48

a² = 16

a = 4

Width of rectangle = 4 ft

Length of rectangle = 3[Width of rectangle]

Length of rectangle = 3[4]

Length of rectangle = 12 ft

Answer: you should study, plus give me brainliest please. lol

Step-by-step explanation:

and the other answer might be a bot sending links to websites with malware, please dont .open the link unless you want malware on your device, if its fake. and you cant make websites/ links just to post answers. this is a warning.

Answer:

c

Step-by-step explanation:

Answer:

68°

Step-by-step explanation:

Okay, so m<8 is on the same plane as m<7 because line q is intersecting line t  and that's supposed to add up to 180° so:

180° - 112° = 68°

So, m<7 = 68°

hope this helps:)

Complete question :

Compute the probability of each of the following events.

Event : The sum is greater than 6

Event : The sum is not divisible by 2

Answer:

7/12 ; 1/2

Step-by-step explanation:

Sample space :

2, 3, 4, 5, 6, 7

3, 4, 5, 6, 7, 8

4, 5, 6, 7, 8, 9

5, 6, 7, 8, 9, 10

6, 7, 8, 9, 10, 11

7, 8, 9, 10, 11, 12

Probability that sum is greater than 6:

Number of outcomes greater Than 6 = required outcomes = (7,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10,10,11,11,12) = 21

Total sample space = total possible outcomes = 36

Probability = required outcome / Total possible outcomes

P(sum is greater Than 6) = 21 / 36

2.)

Obtaining an even number :

Sum not divisible by 2 = required outcomes = (3, 5, 7, 3, 5, 7, 5, 7, 9, 5, 7, 9, 7, 9, 11, 7, 9, 11) = 18

Total sample space = total possible outcomes = 36

P(sum is not divisible by 2) = 18 / 36 = 1 / 2

Answer:

Sampling variation

Step-by-step explanation: took the quiz

The option that the margin of error accounts for in the given interval is sampling variation.

This refers to the fact that in a sample, there will be a difference between the variables seen.

This variation is the reason why there is a margin of error in intervals because we need to introduce a range that the relevant variable will fall into.

Find out more sampling variation at https://brainly.com/question/14514626.

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Answer:

0.9851 = 98.51% probability that the person is actually infected.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive test

Event B: Infected

Probability of a positive test:

99% of 25%(People have the disease).

0.5% of 100 - 25 = 75%(People do not have the disease). So

[tex]P(A) = 0.99*0.25 + 0.005*0.75 = 0.25125[/tex]

Probability of a positive test and being infected:

99% of 25%, so:

[tex]P(A \cap B) = 0.99*0.25 = 0.2475[/tex]

What is the probability that the person is actually infected?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2475}{0.25125} = 0.9851[/tex]

0.9851 = 98.51% probability that the person is actually infected.

Answer:

huh i dont get it

Step-by-step explanation:

Answer:

Huh? what do you mean?

Step-by-step explanation:

Answer:

Angle YXU is equal to 113 degrees. those are supplementary angles

Step-by-step explanation:

Answer:

100.48

Step-by-step explanation:

Step 1: Find the diameter

16 × 2 = 32

Step 2: Multiply by pie (Usually just 3.14)

32 × 3.14 = 100.48

Answer:

Augusto was biased and only asked his friends

Step-by-step explanation:

Augusto should've asked 20 random people, since the people he hangs around the most probably have the same habits

This was not a fair collection of data

He did not use a random sample, and he tried to show cause and effect with an observational study

Answer:

$3717.12

Step-by-step explanation:

The depreciation per year is 100% - 12% = 88% = 0.88

value after 2 years = $4800 ( 0.88)² = $3717.12

Step-by-step explanation:

3717.21$ is the system worth after 2 years