The ratio of the vertical change to the horizontal change to any two points on a line is called _______ of the line

Answer:

a) 0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day.

b) 0.5989 = 59.89% probability that it actually rains on the day of the wedding

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.

A. What is the probability that the meteorologist predicts that it rains on a given summer day?

80% of 25/92(prediction of rain, and rained).

20% of 67/92(prediction of rain, did not rain). So

[tex]P = \frac{0.8*25}{92} + \frac{0.2*67}{92} = 0.3630[/tex]

0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day.

B. Given that the meteorologist predicted rain, what is the probability that it actually rains on the day of the wedding?

Conditional Probability, in which:

Event A: prediction of rain

Event B: rain

0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day, which means that [tex]P(A) = 0.3630[/tex]

Rain and prediction of rain:

80% of 25/92. So

[tex]P(A \cap B) = \frac{0.8*25}{92} = 0.2174[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2174}{0.3630} = 0.5989[/tex]

0.5989 = 59.89% probability that it actually rains on the day of the wedding

Answer:

it will cost him £2.38

Step-by-step explanation:

bc you first multiply 4.25kg with £1.40 and that equals to 5.95

then you take 5.95 and devide it with 2.5 kg then that equals to £2.38.

I hope that this helped you.

Answer:

Large: 17,125

Small: 78,100

Step-by-step explanation:

Answer:

5.61

Step-by-step explanation:

66/22 = 3

3×1.87 = 5.61

Answer:

Step-by-step explanation:

2) False.

3) True. It could be 50°-65°-65°.

4) True. It could be 35°-35°-110°.

5) True. It could be 40°-50°-90°.

Answer: (assuming the first three terms are -6, -2, 2)

(a) f(n) = 4n - 10

(b) 30

Step-by-step explanation:

(So, just as a preface, I made this answer assuming the first three terms are -6, -2, and 2 since I couldn't find a provided fourth term as the problem said)

(a) In order to create an equation for an arithmetic sequence, you need to find the common difference(d) and the 0th term. You can find the common difference by finding the difference between two consecutive terms:

2 - (-2) = 4 (or (-2) - (-6) = 4), so d = 4

Now, you need to find the 0th term. To do this, you can just subtract the d from the first term, -6:

-6 - 4 = -10.

At this point, you can write the equation:

f(n) = -10 + 4n (this is the 0th term plus the common difference, 4, times the nth term)

f(n) = 4n - 10 (reorganize by value of exponents)

(b) In order to find the 10th term, you just need to plug it into the previous equation:

where n = 10, and f(n) = 4n - 10,

f(n) = 4(10) - 10 (substitute n into the equation)

f(n) = 40 - 10 (multiply the term in the parenthesis by the constant)

f(n) = 30 (subtract)

Answer:

the cost of each is  £10 and  £8 respectively

Step-by-step explanation:

Let us assume the cost of per DVD be x

And the cost of per CD be y

Now as per the question

The following equations should be made

3x + 4y = £62.00

4x + 3y = £64.00

Now multiply by 4 in equation 1 and 3 in equation 2

12x + 16y = £248

12x + 9y = £192

7y =  £56

y =  £8

Now put the value of y in any of the above equation

3x + 4( £8) =  £62

3x +  £32 =  £62

3x = 30

x =  £10

Hence, the cost of each is  £10 and  £8 respectively

Answer:

Step-by-step explanation:

5 times 25 3 times 25 add both anwsers

13 out of 25 pretzels are not checked or tested.

Let the 25 pretzels be:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25.

Every fifth pretzels is tested for weight.

Collect all the multiples of 5 till 25.

So, pretzels that are tested for weight are: 5, 10, 15, 20, 25.

Every third pretzel is tested for size

Collect all the multiples of 3 till 25.

So, pretzels that are tested for size are: 3, 6, 9, 12, 15, 18, 21, 24.

Now, pretzels that are not checked or tested are: 1, 2, 4, 7, 8, 11, 13, 14, 16, 17, 19, 22, 23.

They are 13 in number.

13 out of 25 pretzels are not checked or tested.

Learn more about multiples here:

https://brainly.com/question/12017228?referrer=searchResults

Answer: 4 and 1/4

Step-by-step explanation:

1st question is 4-- count the points that fall above the line

2nd question is 2 out of 8, or 1 out of 4

there are only 2 players who played at least 17 matches AND scored about 5000. There are 8 players who played at LEAST 17 matches

Answers:

1. 4

2. ¼

Explanations:

1. the question is asking how many players were awarded more points than the prediction of the line of best fit (trend line), which can be translated to how many dots are above the line on the graph. 4 dots can be counted above the line

2. 8 players played at least 17 tournaments. of these 8 players, only 2 scored more than 5000 ranking points.

thus, to find the probability, we take 2 ÷ 8 = ¼

i hope this helps! :D

Answer:Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are.

Step-by-step explanation:

Answer:

90 cubes.

Step-by-step explanation:

First we find volume of the cuboid.

Volume = l x b x h = 20 x 18 x 16 = 5760 cm³

Now,

Volume of a single cube = l³ = 4³ = 64

No of cubes that can be cut out from the cuboid is

= Volume of cuboid/ volume of cube

= 5760/ 64

= 90 cubes

Answer:

B. 24/5

Step-by-step explanation:

QR = 10

QT = 6

HI = 8

Quadrilateral QRST ~ quadrilateral HIJK, therefore, their corresponding side lengths would be proportional to each other.

This:

QR/HI = QT/HK

Plug in the values

10/8 = 6/HI

Cross multiply

10*HI = 8*6

10*HI = 48

Divide both sides by 10

HI = 48/10

HI = 24/5

Answer:

B. 24/5

Step-by-step explanation:

Hope this helps

Answer:

62

Step-by-step explanation:

Answer:

I believe the answer is 5.8 miles

Step-by-step explanation:

I believe this is the correct answer, although it is possible I am wrong.

This is how I solved this problem:

I divided 10,560 feet by 2, which equals 5280 feet in a mile

Then I divided 30,375 feet by 5280 feet to get 5.7528409

Since there is no way this is the correct simplification, you need to round to the nearest tenth.

5.7528409 is about 5.8 miles

Answer:

समांतर श्रेणी का प्रथम पद a = 2

[tex] t_{13}= 26[/tex]

Step-by-step explanation:

माना समांतर श्रेणी का प्रथम पद a और सामन्य अन्तर d है.

इसलिए..

[tex] S_6 = 42....(given) [/tex]

[tex]\therefore \frac{6}{2}\{2a + (6-1)d\}= 42 [/tex]

[tex]\therefore 3\{2a + 5d\}= 42 [/tex]

[tex]\therefore \{2a + 5d\}= \frac{42}{3} [/tex]

[tex]\therefore 2a + 5d=14...... (1)[/tex]

[tex] t_{10} : t_{30}= 1 : 3.....(given) [/tex]

[tex] \therefore \frac{t_{10}}{t_{30}} = \frac{1}{3} [/tex]

[tex] \therefore \frac{a +9d}{a+29d} = \frac{1}{3} [/tex]

[tex] 3(a + 9d) = a + 29d[/tex]

[tex] 3a + 27d = a + 29d[/tex]

[tex] 3a - a = 29d - 27d [/tex]

[tex] 2a= 2d [/tex]

[tex] a= d...... (2)[/tex]

समीकरण (1) और (2) से:

[tex]\therefore 2a + 5a=14[/tex]

[tex]\therefore 7a=14[/tex]

[tex]\therefore a=\frac{14}{7}[/tex]

[tex]\therefore a=2[/tex]

समांतर श्रेणी का प्रथम पद a = 2

a = d = 2... (समीकरण 2 से)

[tex] t_{13}= 2 + (13-1)2[/tex]

[tex] t_{13}= 2 + 12\times 2[/tex]

[tex] t_{13}= 2 + 24[/tex]

[tex] t_{13}= 26[/tex]

Answer:

Step-by-step explanation:

let X be free stickers

let y be number of T-shirts bought

TABLE

X       Y (PUT THIS IN THE BLUE PLACE)

2        1

4         2

6        3

8        4

10       5 (don't have to put this in)

Answer:

18 feet

Step-by-step explanation:

(1*4)/2 = 2 (area of right triangle)

4*4=16 (area of square)

2+16=18

Answer:

The answer is x= 7/30

Answer:

20:16

Step-by-step explanation:

Subtract the number of sharpened pencils you have from the total number and you have your ratio.

Answer:

25.50x40= 1020/ week

times 52 weeks- $53040

Answer:

go0gle, just look it up

Step-by-step explanation:

Answer:

$6.50/gallon

Step-by-step explanation:

22.75 / 3.5 = $6.50/gallon

Answer:

sec y = x+1 + ce x ; c is constant

Hope it helps....

Answer:

12 hours.

Step-by-step explanation:

A motorist takes 5 hours to travel 300km

This means that his velocity, in km per hour, is given by:

v = 300/5 = 60 km/h

How long will it take to travel 720 km at same average speed?

720 km, 60 an hour. So

720/60 = 12

It will take 12 hours.

Answer: 7.5 each

Step-by-step explanation:

15/2

Answer:

24/9

Step-by-step explanation:

one face is 4/9 is that's what 2/3² is

then multiply that by the number of faces a cube has (6)

and you get 24/9

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 opposite semicircle are same

diameter = 9m

radius = 4.5m --- (diameter = 1/2radius)

area of semicircle = 1/2 × π × radius²

= 1/2 × 3.14 × 4.5×4.5

= 31.79m²

2 semicircles area = 31.79 × 2

= 63.8m²

______________________________

______________________________

other 2 opposite semicircle are same

diameter = 20m

radius = 10m --- (diameter = 1/2radius)

area of semicircle = 1/2 × π × radius²

= 1/2 × 3.14 × 10×10

= 157m²

2 semicircles area = 157 × 2

= 314m²

______________________________

______________________________

length = 20m ----- ( given )

breadth = 9m ----- ( given )

area = length × breadth

= 20 × 9

= 180m²

______________________________

______________________________

AREA of whole figure = 63.8 + 314 + 180

= 557.8m²

Answer:

980 students are freshmen.

Step-by-step explanation:

2800*.35=980