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Gelneren [198K]

1 year ago

8

Henry is diving off a diving board that is 7m above the water. After 2 seconds, he reaches his maximum height of 9m above the wa

ter. What height will Haney be after 5 seconds?

1 answer:

masha68 [24]1 year ago

6 0

Answer:

22.5m,

2+2=4

therefore:

9+9=18

and to get 2 to equal 1 half it,

half of 9= 4.5, add it to 18 , and you have 22.5.

:)

sorry for any mistakes, I'm not that good, but i thought i could manage this :)

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The ratio of teachers needs to be 1:30. If there were 120 students, how many teachers would be needed?

mezya [45]

Answer:

4:120

Step-by-step explanation:

for 120 student they would be 4 teacher needed per 30 student

4:120

4 0

1 year ago

t Technodynamics, Inc., a randomly-selected hiring committee of 3 people is formed from a group of 4 employees in marketing an

atroni [7]

Answer: a) 0.25, b) 0.78, c) 0.71

Step-by-step explanation:

Since we have given that

Number of employees in marketing = 4

Number of employees in management = 7

We need to hire committee of 3 people.

a) Find the probability that the committee has exactly 2 employees from marketing.

So, Probability becomes

$\dfrac{^4C_2\times ^7C_1}{^{11}C_3}\\\\=\dfrac{42}{165}\\\\=0.25$

b) Find the probability that the committee has at least one employee from marketing.

$P(x\geq 1)=1-P(x=0)\\\\P(x\geq 1)=1-\dfrac{^7C_3}{^{11}C_3}=1-0.212=0.78$

c) Find the probability that the committee has at most one employee from management.

$P(x\leq 1)=P(x=0)+P(x=1)\\\\P(x\leq 1)=\dfrac{^7C_3}{^{11}C_3}+\dfrac{^7C_2\times ^4C_1}{^{11}C_3}\\\\P(x\leq 1)=0.21+0.50=0.71$

Hence, a) 0.25, b) 0.78, c) 0.71

8 0

1 year ago

Which rational number is one tick mark to the right of Negative 6 Over 4 on the number line below?

murzikaleks [220]

Answer:

The number line is missing, but as we are know that the number marked in the number line is -6/4, i will guess that the ticks are spearated by fourts (the distance between each tick is 1/4).

Now, for the number at the right of -6/4, we should add the distance for one tick, this means that the number at the right is:

-6/4 + 1/4 = -5/4.

Now i will give some other examples:

Now, if the distance between ticks is 2/4, then the number at the right will be:

-6/4 + 2/4 = -4/4 = -1

Now, if the distance between ticks is 3/4, the the number at the right will be:

-6/4 + 3/4 = -3/4.

4 0

1 year ago

Bananas are being sold for $0.59 a pound at Store A and $0.55 a pound at Store B. A customer wants to buy 10 pounds of bananas.

andre [41]

Answer:

The customer saves 5.9 - 5.5 = $0.5

when he shops at store B

Step-by-step explanation:

Stores A and B sells bananas at different prices per pound.

Bananas are being sold for $0.59 a pound at Store A and $0.55 a pound at Store B.

If a customer wants to buy 10 pounds of bananas from store A and store B,

The customer would spend 0.59 × 10 pounds of bananas = $5.9

buying from store A and

The customer would spend 0.55 × 10 pounds of bananas = $5.5

buying from store B.

The customer spends more for 10 pounds of bananas if he buys from shop A.

The customer saves 5.9 - 5.5 = $0.5

when he shops at store B

8 0

1 year ago

A sausage company makes two different kinds of hot dogs, regular and all-beef. Each pound of all-beef hot dogs requires 0.75 lb

Gre4nikov [31]

Answer:

880 lbs of all-beef hot dogs
2000 lbs of regular hot dogs
maximum profit is $3320

Step-by-step explanation:

We can let x and y represent the number of pounds of all-beef and regular hot dogs produced, respectively. Then the problem constraints are ...

.75x + 0.18y ≤ 1020 . . . . . . limit on beef supply
.30y ≤ 600 . . . . . . . . . . . . . limit on pork supply
.2x + .2y ≥ 500 . . . . . . . . . . limit on spice supply

And the objective is to maximize

p = 1.50x + 1.00y

The graph shows the constraints, and that the profit is maximized at the point (x, y) = (880, 2000).

2000 pounds of regular and 880 pounds of all-beef hot dogs should be produced. The associated maximum profit is $3320.

8 0

1 year ago