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1 year ago

Dennis can type 65 words per minute. At this

Mathematics

2 answers:

Charra [1.4K]1 year ago

8 0

Answer:

19 minutes

Step-by-step explanation:

just divide

xxTIMURxx [149]1 year ago

4 0

It will take him 19 minutes to type 1,235 words.

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Ana wrote four statements to describe circle S. Statements: AB is a diameter. ST , SP and SQ are radii. SQ = 12 cm PQ = 12 cm Ar

wel

Two of the four statements that Ana wrote are correct. Number 1, "AB is a diameter" is incorrect, and so is number 3, "SQ = 12 cm". AB is not a diameter because it is instead a chord. "ST , SP and SQ are radii" is correct because they are straight lines from the center of the circle to the circumference of the circle, which is the exact definition of radius. The third statemet is incorrect because since ST is a radius and it equals 6, that means all radii are equal to 6. SQ is a radius of circle S, so it should also equal 6, not 12. The last statement is correct because PQ is a diameter of circle S. By rule, the diameter is always equal to double of the radius. The radius is 6, so 6 x 2= 12.

8 0

1 year ago

Suppose you roll a pair of honest dice. If you roll a total of 7 you win $22, if you roll a total of 11 you win $66, if you roll

JulijaS [17]

Answer:

The expected payoff for this game is -$1.22.

Step-by-step explanation:

It is given that a pair of honest dice is rolled.

Possible outcomes for a dice = 1,2,3,4,5,6

Two dices are rolled then the total number of outcomes = 6 × 6 = 36.

$\{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),\\(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),\\(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)\}$

The possible ways of getting a total of 7,

{ (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) }

Number of favorable outcomes = 7

Formula for probability:

$Probability=\frac{\text{Favorable outcomes}}{\text{Total outcomes}}$

So, the possibility of getting a total of 7 = $\frac{6}{36}=\frac{1}{6}$

The possible ways of getting a total of 11,

{(5,6), (6,5)}

So, the probability of getting a total of 11 = $\frac{2}{36}$ = $\frac{1}{18}$

Now, other possible rolls = 36 - 6 - 2 = 36 - 8 = 28,

So, the probability of getting the sum of numbers other than 7 or 11 = $\frac{28}{36}$ = $\frac{7}{9}$

Since, for the sum of 7, $ 22 will earn, for the sum of 11, $ 66 will earn while for any other total loss is $11,

Hence, the expected value for this game is

$\frac{1}{6}\times 22+\frac{1}{18}\times 66-\frac{7}{9}\times 11$

$\frac{11}{3}+\frac{11}{3}-\frac{77}{9}$

$\frac{22}{3}-\frac{77}{9}$

$\frac{66-77}{9}$

$-\frac{11}{9}$

$-1.22$

Therefore the expected payoff for this game is -$1.22.

4 0

1 year ago

Last year Lenny had an annual earned income of $58,475. He also had passive income of $1,255, and capital gains of $2,350. What

Lelechka [254]

Answer: d. $62,080

Step-by-step explanation:

The capital gain is the profit earned from an investment whereas the passive income is the income generated by very minimal daily efforts.

Given: Annual income earned by Lenny = $\$58,475$

Passive income = $\$1,255$

Capital gain = $\$2,350$

Now, $\text{Total gross income =Annual income+Passive income+Capital gain}$

$=\$58,475+\$1,255+\$2,350=\$62,080$

Hence, Lenny's total gross income for the year = $62,080

4 0

1 year ago

Read 2 more answers

Your drawer has 5 pairs of black socks, 4 pairs of gray socks, 2 pairs of white socks, 1 pair of brown socks, and 1 pair of blue

Sergeeva-Olga [200]

5 pairs of black socks*2 because it’s a pair= 10 socks
4 pairs of grey socks*2=8
2 pairs of white socks*2=4
1 pair of brown socks*2=2
1 pair of blue socks*2=2
10 socks+8 socks+4 socks+2 socks+ 2 socks=26 socks in total
26/2=13+1 because you need to be sure you get one pair of socks. The smallest amount of socks you would have to grab to get at least one matching pair is 14 socks.

7 0

2 years ago

An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the initial velocity of the ball is 40

satela [25.4K]

Answer:

0.14 s

Step-by-step explanation:

s = -2.7 t² + 40t + 6.5

Let s = 12

12 = -2.7t² + 40t + 6.5 Subtract 12 from each side

-2.7t² + 40t + 6.5 - 12 = 0

-2.7t² + 40t - 5.5 = 0