at the zoo,the ratio of monkeys to gorillas is 5:1​

Answer:

[tex]125.4\ \text{m/s}[/tex]

Step-by-step explanation:

u = Initial velocity of baseball

[tex]\theta[/tex] = Angle of hit = [tex]30^{\circ}[/tex]

x = Displacement in x direction = 400 ft

y = Displacement in y direction = 15 ft

[tex]y_0[/tex] = Height of hit = 2.5 ft

[tex]a_y[/tex] = g = Acceleration due to gravity = [tex]32.2\ \text{ft/s}^2[/tex]

t = Time taken

Displacement in x direction

[tex]x=u_xt\\\Rightarrow x=u\cos\theta t\\\Rightarrow t=\dfrac{x}{u\cos\theta}\\\Rightarrow t=\dfrac{400}{u\cos30^{\circ}}\\\Rightarrow t=\dfrac{400}{u\dfrac{\sqrt{3}}{2}}\\\Rightarrow t=\dfrac{800}{u\sqrt{3}}[/tex]

Displacement in y direction

[tex]y=y_0+u_yt+\dfrac{1}{2}a_yt^2\\\Rightarrow y=y_0+u\sin\theta t+\dfrac{1}{2}a_yt^2\\\Rightarrow 15=2.5+u\sin30^{\circ}(\dfrac{800}{u\sqrt{3}})+\dfrac{1}{2}\times -32.2\times (\dfrac{800}{u\sqrt{3}})^2\\\Rightarrow \dfrac{400}{\sqrt{3}}-\dfrac{10304000}{3u^2}-12.5=0\\\Rightarrow 218.44=\dfrac{10304000}{3u^2}\\\Rightarrow u=\sqrt{\dfrac{10304000}{3\times218.44}}\\\Rightarrow u=125.4\ \text{m/s}[/tex]

The minimum initial velocity needed for the ball to clear the fence is [tex]125.4\ \text{m/s}[/tex]

Answer: 25%

Step-by-step explanation:

The probability of getting at least one correct answer is  255/256 ≈ 0.996

The probability of getting exactly one correct answer is 5/256 ≈ 0.0195

The probability is defined as the possibility of an event being equal to the ratio of the number of outcomes and the total number of outcomes.

As there are two possible results for each of the 5 questions, there are

2⁵ = 256 possibilities total.

To calculate the probability, then, we only need to know how many ways the student can get one correct answer.

The question's wording contains a small amount of uncertainty, therefore we will discuss both possibilities.

Probability of at least one correct answer:

There is only one way the student can have no correct answers, meaning there are 256 -1 = 255 ways the student can have at least one correct answer.

Thus, the probability of getting at least one correct answer is

255/256 ≈ 0.996

Probability of exactly one correct answer:

There are 5 ways the student can get exactly one correct answer

Thus, the probability of getting exactly one correct answer is 5/256 ≈ 0.0195

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Answer:

$160                0.4/lemon

Step-by-step explanation:

5 per car wash

12 cars in 3 hours

4 cars per hour times 8= 32 cars in 8 hours

32 times 5= 160

5 lemons for 2.00

Unit cost= 0.4 per lemon

Answer:

Yes there is a proportinal relationship because when I did 19 divided by 2 I got 9.5 and when I do 76 divided by 8 I got 9.5 so its proportinal. Yes I can find how much money 6 pounds is its 57. And yes I can do it without a table because all you have to do is divide the 19 and 2 and the other 2 numbers and if there the same then its proportinal.

Step-by-step explanation:

BRAINLIEST MAYBE???

Answer:

a b

Step-by-step explanation:

Answer:

D maybe? im not sure

Step-by-step explanation:

Answer:

she received 21 more

Step-by-step explanation:

43 + 34 =77

98-77= 21

Hope this helps!!!

The answer is w=40b Answer:

Step-by-step explanation:

Answer:200

Step-by-step explanation:

w=40b

=40(5)

=200

Answer:

7-x

Step-by-step explanation:

18-11=7

-6x+5x=-x

therefore, the answer is 7-x

The solution of the expression is,

⇒ - x + 7

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 18 - 6x + 5x - 11

Now, We can solve the expression as;

⇒ 18 - 6x + 5x - 11

Rearrange as;

⇒ - 6x + 5x + 18 - 11

Combine like term as;

⇒ - x + 7

Thus, The solution of the expression is,

⇒ - x + 7

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Answer:

1/6

Step-by-step explanation:

Only one of the six sides is a 5 on the die. So there is a 1/6 chance that it will land on it

Answer:

in my middle school it was history

Step-by-step explanation:

Answer:

C!

Step-by-step explanation:

I Got it correct! I hope you have a wondeful weekend and Day!!!

Answer:

The 3rd

Step-by-step explanation:

y = 4 x - 7

The slope is the number moltipied by x, 4

Hope this helps, have a good day

Answer:

y = 4 x - 7

Step-by-step explanation:

The person above is correct (i had this question and it was right) (give brainiest to the person above)

Answer: 304.8

Step-by-step explanation:

for an approximate result, multiply the length value by 305

Answer: 304.8

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

x= 0/-8

y= 0/5

Step-by-step explanation:

Brain-List?

Answer:

C. x=12

Step-by-step explanation:

Answer:

$8.40

Step-by-step explanation:

Since this is an estimate, you need to do it in your head. The way I did it was I divided 40 by 5 since 20% is one fifth of 100%, then I divided 2 by 5 and added them together which equaled 8.40.

Answer:

About $8

Step-by-step explanation:

Move decimal point one place to the left (making $4.20), then double that answer (making $8.40). You said estimate so I rounded down to $8 but a more precise answer would be $8.40.

Hope this helps :).

Answer:

The simplified answer is 11a/15

Step-by-step explanation:

Answer:

Y2-y1

X2-×1 = m

-12-(-10)

11-5     = -2/3

m= -2/3

Step-by-step explanation:

95 households have electricity bills of less than $200. Option C is correct.

Given that,
The monthly electric bills in a certain community are normally distributed, with a mean of $245 and a standard distribution of $55. There are 461 households in the community, how many of them have electric bills less than $200 is to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

probability for the number of households has electric bills less than $200.
x = 200 , μ = 245 ; σ = 55
Now,
Probability,
z (p < 200) =  [tex]\frac{X -\mu}{\sigma}[/tex]
z (p < 200) =  (200 - 245)/55
                = --45/5
                = -0.818181
p < 200 = 0.206 (from z table)

Now, the number of households that has electricity bill less than $200,
= 461 * 0.206
= 94.966
≈ 95

Thus, 95 number of household have electricity bills of less than $200. Option C is correct.

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Answer:

x = 8.75

Step-by-step explanation:

the ratio of [tex]\frac{4}{7}[/tex] : [tex]\frac{5}{x}[/tex]

x = 8.75

Answer:

E

Step-by-step explanation:

I took the test too!

Answer:

Multiply by 18

Step-by-step explanation:

Given

[tex]\frac{x}{3} + \frac{x}{6} = \frac{11}{9}[/tex]

Required

Eliminate the fraction

To eliminate the fraction, we first determine the LCM of the denominators (3, 6 and 9)

This is show below:

List out the multiplies of 3, 6 and 9

[tex]3 = 3,6,9,12,15,18,21,24,27,30...[/tex]

[tex]6 = 6,12,18,24,30...[/tex]

[tex]9 = 9,18,27...[/tex]

The least common multiple is 18.

Hence, when both sides of the equation is multiplied by 18, the fraction is eliminated;

See proof

[tex]18 * (\frac{x}{3} + \frac{x}{6}) = \frac{11}{9} * 18[/tex]

[tex]\frac{18x}{3} + \frac{18x}{6} = \frac{11*18}{9}[/tex]

[tex]6x + 3x = 11 * 2[/tex]

[tex]6x + 3x = 22[/tex]

The fraction is eliminated

B. SAS

Pretty much the way I look at it, there is one angle, and 2 sides beside it. Easiest way for me to explain.

Answer:

im not really sure but i believe the answer is B.SAS.

i also know It Not C.HS and D. non of the above.

Answer:

he has 320 masks on his wall