The probability that the number 72 bus is on time is
0.76
What is the probability that the number 72 bus will
be late?

Answer: b⁶

Step-by-step explanation:

The for bⁿ can be optained by multiplying 3 and 2. If there is an exponent on the outside of the parenthesis, you multiply it with the exponent on the inside.

(b³)²=b³ˣ²=b⁶

Answer:

Giselle has spent more than 1/2 of her parking money.

Step-by-step explanation:

Answer:

12

5

13

Step-by-step explanation:

Answer:

105 degrees

Step-by-step explanation:

Angle DEF measures 75°.Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE.

the angles all together is 180 degrees

so 180 - 75 = 105 degrees

The measure of angle CFD is 105 degrees.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

Angle DEF = 75°.

Triangle DEF is isosceles, so Angle DEF Is-congruent-to Angle DFE.

Angle DFE + Angle CFD = 180  (angle on a straight line)

so 180 - 75 = 105 degrees

Thus, Angle CFD = 105 degree

Learn more about the triangles;

https://brainly.com/question/2773823

#SPJ2

What we do is simply replace every n with k+1. So (3n)^2 turns into (3(k+1))^2

We see that only choice A has the correct term mentioned on the left hand side, so this must be the answer.

The right hand side is treated the same way. We plug in n = k+1. Your teacher did a bit of algebraic manipulation to get what is shown for choice A.

Answer:

20

Step-by-step explanation:

Angle EAC and angle GCJ are corresponding angles.

So angle EAC is equal to 70 degrees.

Angle KAE is a right angle, so it is 90 degrees.

Angles on a line add up to 180 degrees.

x + 90 + 70 = 180

x = 180 - 160

x = 20

Answer:

The measurement of ∠x is 20°

Step-by-step explanation:

From this problem, we are given a few pieces of information. First we know that DE is parallel to FG. We also know that KL is perpendicular to FG. Perpendicular means that the angles from KL and FG are going to form right angles.

So, knowing this, we can start off my saying that the measurement of ∠KAE is 90°.

We can also say that the measurement of ∠IAD is 70° because it is correspondent to ∠JCG and corresponding angles have the same measurements.

So, now we can find x. Set up equation.

70 + x + 90 = 180

Add 70 to 90.

x + 160 = 180

Subtract 160 on both sides.

x = 20

So, the value of x is 20°

Answer:

190 cards

Step-by-step explanation:

Elle, Jonah and Mandy shared the game cards in the ratio 2 : 3 : 7. The total ratio is:

2 + 3 + 7 = 12

If they were shared equally, they would each receive 152 cards, this means that the total number of cards they received is:

152 * 3 = 456 cards

Elle's share is therefore:

2 / 12 * 456 = 76 cards

Mandy's share is:

7 / 12 * 456 = 266 cards

Therefore, the number of cards that Many received more than Elle is:

266 - 76 = 190 cards

Answer:

37 apples

Step-by-step explanation:

just add 5 to 32

Answer:

72

Step-by-step explanation:

Oranges:Apples

4:9

4*8:9*8

32 oranges:72 apples

Answer:

The surface area formula is 2πr (h + r) where r and h are the radius and height respectively. Since π = 3.14, r = 7, h = 15 the answer is:

2 * 3.14 * 7 * (15 + 7) = 43.96 * 22 = 967.6

Answer:

See explanation

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x2 - x1)^2+(y2-y1)^2}[/tex]

Isosceles Triangle: 2 sides are the same

[tex]d = \sqrt{(4 - 7)^2+(-3-3)^2} = 3\sqrt{5}[/tex]

[tex]d = \sqrt{(10-4)^2+(-3+3)^2} = 6[/tex]

[tex]d = \sqrt{(10-7)^2+(-3-3)^2} = 3\sqrt{5}[/tex]

Since we have 2 distances between the vertices the same, we have an isosceles triangle.

Answer: The graph is a linear graph or linear function in the form y= mx + b where m is the slope and b is the y-intercept. You could plot the points (0,5) (1,4) (2,3) (4,1)  and draw a straight line through them.

Step-by-step explanation:

The equation  y= 5-x  can be rewrite as  y = -1x + 5  and it can be identify as a linear equation in slope intercept form. Now you could plot in any value  of x and solve for y.

x        y         (x,y)

0       5          (0,5)   If you put in 0 for x y will be 5

1       4            (1,4)    if you put in 1 for x,  y will be 4

2      3            (2,3)  if you put in 2 for x, y will be 3

4       1             (4,1)   if you put in 4 for x, y will be  1

5       0             (5,0)  if you put in 5 for x y will be 0.

Answer:

2x + (2 × 6)

since we are expanding, we represent 2 multiplying to every expression in the given parentheses

Answer:

2x+12

Step-by-step explanation:

2(x + 6)​

Distribute

2*x + 2*6

2x+12

Answer:

lines NP and OP are intersecting

Step-by-step explanation:

they touch at point P

[tex]a_{n+1}=a_n+n[/tex]

The formatting was a bit confusing, so please do let me know if this isn't the correct equation for the sequence.

The first term is given, which is

[tex]a_1=-9[/tex]

Now, use the equation for the next terms:

[tex]a_{1+1}=a_2=-9+1=-8[/tex]

[tex]a_{2+1}=a_3=-8+2=-6[/tex]

[tex]a_{3+1}=a_4=-6+3=-3[/tex]

Thus, the first 4 terms are -9, -8, -6, and -3. Let me know if you need any clarifications, thanks!

Answer:

m the slope of function=-3

Step-by-step explanation:

to find the slope take two points from the graph:

(0,4), (1,1)

m= y2-y1/x2-x1

m=1-4/1-0

m=-3/1=-3

the equation : y=mx+b find b

when x=0, y=b=4

y=-3x+4

Answer:

8 batches

Step-by-step explanation:

Take the total amount of cream and divide by the amount of cream per batch

6 ÷ 3/4

Copy dot flip

6 * 4/3

6/3 *4

2*4

8 batches

Answer:

27

Step-by-step explanation:

9 is not a perfect cube.

18 is not a perfect cube.

27 is a perfect cube.

∛27 = 3

36 is not a perfect cube.

Answer:

27

Step-by-step explanation:

We want a number time itself times itself

27 = 3*3*3

27 = 3^3

Answer:

2x/5x= 7

Step-by-step explanation:

Answer: 7, 14, 21, 28

Step-by-step explanation:

Let first multiple = x

So, second multiple = x + 7

Third = x + 14

Fourth = x + 21

According to the question,

=>x + (x + 7)+ (x + 14) + (x + 21) = 70

=>4x + 42 = 70

=>4x = 28

=>x = 7

So, the multiples are 7(x), 14(x+7), 21(x+14), 28(x+21)

Answer:

∠U = 40°

Step-by-step explanation:

in order to find the missing angle of U we need to know the two other angles.

We know that ∠T is 65° and we know that ∠TSF is 105°. Because ∠TSF is an exterior angle, we can subtract 180 to get the interior angle. This would mean that ∠S is 75°.

Using this we can add 65 to 75 then subtract the total from 180 to get ∠U.

This would mean that ∠U is 40°

Answer:

(x + 5)(x - 2)

Step-by-step explanation:

Given

x² + 3x - 10 ← expression on the denominator

Consider the factors of the constant term (- 10) which sum to give the coefficient of the x- term (+ 3)

The factors are + 5 and - 2, since

5 × - 2 = - 10 and 5 - 2 = + 3, thus

x² + 3x - 10 = (x + 5)(x - 2)

Answer:

A) V + 6 B = 372

B) 4V + 12B = 780

We'll divide B) by -4

B) -V -3B = -195 Then we add A)

A) V + 6 B = 372 which equals

3B = 177

1 Bus carries 59 Students

For the Van let's use equation A)

V + 6 * 59 = 372

Van = 372 -354

Each Van Carries 18 Students

Step-by-step explanation:

Answer:

8.45

Step-by-step explanation:

You add the ones place together:

1 + 6 = 7

You add the tenths place together:

0.5 + 0.8 = 1.3

You add the hundredths place together:

0.07 + 0.08 = 0.15

Then you combine them all together to get 8.45

Answer:

75%

Step-by-step explanation:

Percent yield = experimental yield / theoretical yield * 100

= 900 / 1200 * 100   (remember that 1,000 g = 1 kg)

= 75

Answer:

it will take them 33 minutes and 20 seconds

Step-by-step explanation:

What we have here is that Han can stuff 20 envelopes in a minute while Clare can do 10 in a minute

So in a minute, they can jointly stuff 30 envelopes.

Mathematically we know that the number of time it will take to finish stuffing would be number of envelopes/ joint rate = 1000/30 envelopes per minute

So it will take 33 1/3 minutes

1/3 of a minute is same as 1/3 * 60 seconds = 20 seconds

So it will take them 33 minutes and 20 seconds

Answer:

240, 360, 800

Step-by-step explanation:

We can call the numbers 3x, 7x, and 10x and then we can write:

3x + 7x + 10x = 1600

20x = 1600

x = 80 so the numbers are 3 * 80 = 240, 7 * 80 = 560 and 10 * 80 = 800.

Answer:

i.  {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

ii. The probability of tossing exactly 2 tails is [tex]\frac{3}{8}[/tex] (or 0.375)

Step-by-step explanation:

when a coin is tossed, the outcomes can either be a head or a tail. The tree diagram attached to this answer shows the display of the possible outcomes when a coin is tossed three times.

The possible outcomes when a coin is tossed three times are:

                   {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

where; H represents the head and T represents the tail.

Pr(tossing exactly 2 tails) = [tex]\frac{number of outcome of 2 tails}{total number of outcome}[/tex]

                                          = [tex]\frac{3}{8}[/tex]

                                          = 0.375

The probability of tossing exactly 2 tails is [tex]\frac{3}{8}[/tex] (or 0.375).

Answer:

symmetric property

Step-by-step explanation:

because if we say

a=b and b=a

we referred to symmetric property

Answer:

x=8

Step-by-step explanation:

If the two rectangles have the same area, then you have to first find the area to solve the problem. To find the area, do 6(Length)x4(Width)=24. So now that we know that the area is 24, now all you have to do is divide 24 by 3 to find the missing dimension. 24÷3=8. Therefore, x=8.

Answer: 20 units

Step-by-step explanation: The diagonal forms a Right Triangle with the side opposite the 30° angle, and the hypotenuse is the base. In a 30, 60, 90 triangle, the hypotenuse is always twice the length of the short side, given as 4. So the base is 8.

The upper triangle is iscosceles, and the trapezoid is iscosceles, so the other sides are all 4 units in length.

3×4=12

8+12=20 units