Use the word BULLDOG to answer the question. If the letters of this word are written on paper and then cut into squares with one letter per square, what is the probability of selecting a C or a Z?

The two trains will meet in 2.4 hours.

Distance is defined as the product of speed and time.

We have been given that two trains depart from stations 532 miles apart at the same time and head in the opposite direction. The first train runs at 90 miles per hour, while the second at 100 miles per hour.

Let's assume x distance 90 mph train traveled

Then (532 - x) is the distance 100 mph train traveled

Travel time = distance/speed (equal in both directions)

⇒ x/90 = (532 -x)/100

⇒ 100x = 90× 532 - 90x

⇒ 100x + 90x = 47880

⇒ 190x = 47880

⇒ x = 47880/190

⇒ x = 252

So travel time = 252/90 = 2.4 hrs

Therefore, the two trains will meet in 2.4 hours.

Learn more about the distance here:

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Answer:

The answer is B just took the test

Step-by-step explanation:

Answer:

[tex]sin (70^{\circ})=cos (20^{\circ})[/tex]

Option C is correct.

Step-by-step explanation:

we have to choose the option for which the value is equals to sin(70°)

As in the first quadrant sine and cosine both are positive

[tex]\sin \theta = \cos (90-\theta)\\\\\sin (70^{\circ})= \cos (90-70)=\cos (20^{\circ})\\\\sin (70^{\circ})=cos (20^{\circ})[/tex]

hence, option C is correct.

Answer:

break even point=(0.01)(# of points)(P)/monthly savings

Step-by-step explanation:

ap3x

The probability of having 7 boys and 1 girl in a family with 8 children is 1/128.

To find the probability of having 7 boys and 1 girl in a family with 8 children, we can use the concept of combinations. There are 8 children in total, and we want to choose 7 boys and 1 girl from them. The probability of having a boy or a girl at each birth is 50%, so we can use the binomial coefficient to calculate the probability. The formula for the binomial coefficient is C(n, k) = n! / (k!(n-k)!), where n is the total number of children and k is the number of boys we want. Plugging in the values, we get C(8, 7) = 8! / (7!(8-7)!) = 8. Therefore, the probability of having 7 boys and 1 girl in any order in a family with 8 children is 8 / 2^8 = 1 / 128.

First if all, we know that the coin has two sides- head and tail

P(getting a head of the first flip):

1/2

P(getting a tail on the second flip):

1/2

P(getting a head on the third flip):

1/2

To find the final answer, take:

1/2×1/2×1/2=1/8

As a result, the probability that you'll get a head on the first flip, a tail on the second flip, and another head on the third flip is 1/8. Hope it help!

[tex] \displaystyle
|\Omega|=\binom{14}{2}=\dfrac{14!}{2!12!}=\dfrac{13\cdot14}{2}=91\\
|A|=\binom{6}{2}=\dfrac{6!}{2!4!}=\dfrac{5\cdot6}{2}=15\\\\
P(A)=\dfrac{15}{91}\approx16\% [/tex]

Answer:

B. 20 inches

Step-by-step explanation:

Remember that when dealing with ratios or unit rates you just have to do simple rules of three to calcuate what they are asking you, in this case you have that in the map for every 8 units in the length there will be 5 in the width, so how many will there be when the map is 32 inches in length?

[tex]\frac{8}{5}= \frac{32}{x}\\x=\frac{32*5}{8}\\ x=20[/tex]

So the width of a map with a length of 32 inches and a ratio of 8:5 will be 20 inches.

Correct answer is Option(A) . The game earns $3330

Carnival Game Expected Outcome

To determine the expected outcome, we first need to calculate the expected value of playing this game once.

The cost to play is $20. If a six is rolled, the player wins $100; otherwise, they lose their $20.

Calculations:

Expected value (EV) for one game:

This means that on average, each player loses approximately $3.33 per game.

Outcome for 1000 Players

If 1000 people play the game, the total expected loss for the players will be:

Therefore, the game earns approximately $3330.

After receiving an 8% stock dividend on his initial 75 shares, the man will own a total of 81 shares.

The question is asking how many shares the man will own after a corporation where he holds stock declared a dividend payable in stock. The man initially owned 75 shares of stock, each worth $50, and the corporation declared an 8% dividend. To find out how many additional shares he receives as a dividend, we calculate 8% of his 75 shares:

Additional shares = 8% of 75 = 0.08 × 75 = 6 shares.

The man will then own his original 75 shares plus the 6 additional shares, for a total of:

Total shares owned = 75 + 6 = 81 shares.

Answer:

Step-by-step explanation:

To calculate the percentage of each expenses we use this formula :

[tex]\frac{amountofbudgetitem}{Totalbudget}[/tex]  × 100

Household Budget Items             Amount ($)            Percentage

Donations                                       1,620                       12%

Taxes                                               1,620                       12%

Food                                                 3,510                       26%

Clothing                                           2,700                       20%

Housing                                           1,350                        10%

Transportation                                   675                         5%

Insurance                                           675                         5%

Savings                                              675                         5%

Recreation and

miscellaneous                                    675                        5%

Total Budget                                     13,500                    100%

Answer:

A,B,D,E

Step-by-step explanation:

did it on edge

Answer:

C

Step-by-step explanation: