Samantha can write 1 1⁄2 pages in 3 minutes. How many pages could she write in 12 minutes?

Yes they are independent because P(California) = 0.55 approximately and P(California | Brand B) = 0.55 approximately as well

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Explanation:

P(California) is notation that means "probability the person is from California". There are 150 people from California out of 275 total. Therefore, the probability is 150/275 = 0.5454 approximately which rounds to 0.55

Now if I told you "this person prefers brand B", then you would focus your attention solely on the brand B column. The other columns are ignored because you know they don't prefer anything else. With this narrower view, we see that 54 Californians prefer this brand out of 99 total. The probability becomes 54/99 = 0.5454 which rounds to 0.55. We get the same as before.

The notation P(California | Brand B) means "the probability they are from California given they prefer brand B". The vertical line is not the uppercase letter i or lowercase letter L. It is simply a vertical line. In probability notation that vertical line means "given".

We've shown that P(California | Brand B) = 0.55 approximately. The fact that they prefer brand B does not change the original probability. So the two events are independent. If liking brand B did change the probability, then the events would be dependent.

Answer:

Step-by-step explanation:

5x3= 15

8x9=72

12x11=132

14x17=138

9x17=153

15+72+132+138+153=510

510/50=10.2= mean

Answer:

c

Step-by-step explanation:

In the given line the relationship between angle w and z is Measure of angle w + measure of angle z = 180 degrees.

This is the type of angle that when measured, two of the angles would sum up to 180 degrees.

The supplementary angle is the sum of angle w + angle z = 180 degrees. Hence c is correct.

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Answer:

It's (B) [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Hope this helped you!

Answer:

f^-1(8) = 3/2

Step-by-step explanation:

f(x) = 2x + 5

y = 2x + 5

x = 2y + 5

2y = x - 5

y = (x - 5)/2

f^-1(x) = (x - 5)/2

f^-1(8) = (8 - 5)/2

f^-1(8) = 3/2

Answer:

Solution,

Hypotenuse(h)=X

Perpendicular (p)=9

Base(b)=12

Now,

Using Pythagoras theorem,

[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {x}^{2} = {(9)}^{2} + {(12)}^{2} \\ or \: {x}^{2} = 81 + 144 \\ or \: {x}^{2} = 225 \\ or \: x = \sqrt{225} \\ or \: x = \sqrt{ {(15)}^{2} } \\ x = 15[/tex]

hope this helps...

Good luck on your assignment...

The length of the hypotenuse in the given triangle is A. 15 units.

This type of question makes a right-angled triangle that can be solved by Pythagoras's theorem.

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

Given, the base of the triangle is 12 units and the height is 9 units.

∴ x² = 9² + 12².

x² = 144 + 81.

x² = 225.

x = + 15 units.

So, the length of the hypotenuse is 15 units.

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Answer:

24

Step-by-step explanation:

Alright so the number has to be above 20 and below 35.

It has to be even, so our options are 22, 24, 26, 28, 30, 32, 34

Since the sum of the digits has to be 6, the only number from that list that it can be is 24.

This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.

Hope this helps!

Answer:

24

Step-by-step explanation:

This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.

Hope this helps!

Answer:

Option B is the correct answer.

Step-by-step explanation:

B= {- 5, - 4.5, - 3}

Answer:

Distance = 162.5 to 2dp.

Step-by-step explanation:

Alex car drives 65km = 40mins we round up to 1hr

= 1/2 x 65 + 65 = 32.5 +65 = 97.5  km p/h

Roy is 1/4 faster (As Alex speed is 3/4 of Roy)

To find 3/4 we divide by 3  then, add the 97.5  km etc..

97.5/3 =  + 32.5km = 130 km/ph

To check we only have to divide by 4

130 / 4  = 32.5

We know 32.5 is 1/4 we can add this on as 15minutes.

130 km = 1hr +

32.5 km = 15 mins

Distance = 162.5 km

Answer:

162.50 km

Step-by-step explanation:

Alex: 40 minutes for 65 km

speed = distance/time = (65 km)/(40 min) * (60 min)/(1 hr) = 97.5 km/h

Alex's speed = 3/4 of Roy's speed

Roy's speed = (Alex's speed)/(3/4) = (97.5 km/h)/(0.75) = 130 km/h

speed = distance/time

distance = speed * time

time = 1 hour + 15 minutes = 1 hour + 15/60 hour = 1.25 hour

distance = 130 km/h * 1.25 hour = 162.50 km

Answer:

The first option from the picture

Step-by-step explanation:

In the picture attached, the question is shown.

In the first option:

The formula for calculating the standard deviation of sample data is expressed as    [tex]\sigma=\sqrt{\frac{\sum(x_1-\overline x)^2+(x_2-\overline x)^2+...(x_n-\overline x)^2)}{N} }[/tex]

The standard deviation is a measure of the amount of variation or dispersion of a set of values.

A lower value of the standard deviation shows that value is close to the mean otherwise it is far from the mean

The formula for calculating the standard deviation of sample data is expressed as:

[tex]\sigma=\sqrt{\frac{\sum(x_1-\overline x)^2}{N} }[/tex]

Assume we have the following data x1, x2, ....xn, the standard deviation will be given as:

[tex]\sigma=\sqrt{\frac{\sum(x_1-\overline x)^2+(x_2-\overline x)^2+...(x_n-\overline x)^2)}{N} }[/tex]

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Answer:

A. [tex] x = \frac{5}{p} [/tex]

Step-by-step explanation:

[tex]px + 12 = 17 \\ px = 17 - 12 \\ px = 5 \\ x = \frac{5}{p} [/tex]

Answer:

axis of symmetry: x=-1

Step-by-step explanation:

Answer:

36 degrees.

Step-by-step explanation:

All the angles in a triangle add up to be 180 degrees. Since the ratio is 1:2:2, you can say that the angles are x, 2x, and 2x.

x + 2x + 2x = 180

5x = 180

x = 180 / 5

x = 36

Since the smallest part of the ratio is 1, the smallest angle is 36 degrees.

Hope this helps!

Answer: A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

just got it right EDG 2021

Answer:

D

Step-by-step explanation:

Its a straight line, and remember, you ALWAYS read graphs from left to right, so its linear increasing. :)

Answer:

Option C.

Step-by-step explanation:

It is given that James earns $1000 weekly base pay as a sales-person.

We know that, we have 4 weeks in a month. So, monthly salary of james is

Monthly income [tex]=\$1000\times 4=\$4,000[/tex]

It is said that he sold $20,000 worth of merchandise last month and he gets a 10% commission on everything he sells.

Commission [tex]=\$20,000\times \dfrac{10}{100}=\$2,000[/tex]

Total amount = Monthly income + Commission

          [tex]=\$4,000+\$2,000[/tex]  

          [tex]=\$6,000[/tex]  

Therefore, the correct option is C.

Answer:

A) 272

Step-by-step explanation:

[tex]S_{n}=\frac{n}{2}*[2a + (n-1)d]\\\\s_{16}=\frac{16}{2}[2*2+15*2]\\\\ =8*[4+30]\\\\=8*34\\=272[/tex]

Answer:

272

Step-by-step explanation:

Answer:

(3, -3)

Step-by-step explanation:

If a point is dilated about the origin rule to be followed,

(x, y) → (kx, ky)

where k is a scale factor by which the point is being dilated.

If a point R having coordinates (1, -1) is dilated by scale factor of 3, coordinates of the image will be [3×1, 3(-1)]

Therefore, coordinates of the image R' will be (3, -3)

Answer:

C) None of the above

Step-by-step explanation:

Reason is V is a shorter distance and q is longer they need to be subtraction but the other way round to enable the correct subtraction we can show (q-V) which means the longer distance minus the shorter distance.

Answer:

None. (or B)

Step-by-step explanation:

A)  AC≅ZY

B) AZ≅

C) ∠A ≅ ∠C

D) ∠B ≅ ∠X

Options C and D are not true and Options A is wrong and B is incomplete but using process of elimination, the answer is probably B.

The resulting information will be ∠ A ≅ ∠ X, ∠ B ≅ ∠ Y and ∠ C ≅ ∠ Z and AB ≅ XY, BC ≅ YZ and AC ≅ XZ

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

Given that, Δ ABC has been translated right to create triangle Δ XYZ

We know that in translation transformation, in translation, only the position of the object changes, its size remains the same.

That means Δ ABC ≅ Δ XYZ Therefore, we get,

Congruent parts are;

Angles:-

∠ A ≅ ∠ X,

∠ B ≅ ∠ Y and

∠ C ≅ ∠ Z

Side:-

AB ≅ XY,

BC ≅ YZ and

AC ≅ XZ

Hence, The resulting information will be ∠ A ≅ ∠ X, ∠ B ≅ ∠ Y and ∠ C ≅ ∠ Z and AB ≅ XY, BC ≅ YZ and AC ≅ XZ

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Answer:

70

Step-by-step explanation:

Answer:

70 fewer refrigerators  than television

Step-by-step explanation:

Answer:

Integers -3, 9, 5, 56/7, -1

Step-by-step explanation:

Integers are whole numbers that can be positive or negative. They do not have decimals.

Answer:

6.9 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/hyp

sin 35 = x/12

12 sin 35 = x

6.882917236 = x

To the nearest tenth

6.9 =x

Answer:

John's initial investment is Rs.150000

Step-by-step explanation:

Let the principal amount be a

We are given that John wants to invest in a simple interest savings account .The interest rate on this account is 0.7%.

Now to find simple interest in x years

Formula : [tex]Si = P \times T \times R[/tex]

Where P = Principal

T= time

R = rate of interest in decimals

So,[tex]SI=a \times 0.007 \times x[/tex]

Amount = Principal+Interest

Amount = [tex]a+a(0.007)x[/tex]

We are given that The account balance y can be modeled by the following linear equation y=150,000+150,000(0.007)x

So, On comparing a = 150000

Hence John's initial investment is Rs.150000

Step-by-step explanation:

[tex] log(x) = 2 \\ {10}^{2} = x \\ x = 100[/tex]

then for y:

[tex] log( y) = - 1 \\ {10}^{ - 1} = y \\ y = 0.1[/tex]

so:

[tex]xy - 100 {y}^{2} \\ = 100 \times 0.1 - 100 \times {(0.1)}^{2} \\ = 10 - 100 \times 0.01 \\ = 10 - 1 \\ = 9[/tex]

Answer:

c

Step-by-step explanation:

Khan academy

Answer:

I would think it is supplementary.

Step-by-step explanation:

If 2 angles equal 180 degrees, then they are supplementary.