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3 years ago

There are 48 students in a school play. The ratio of boys to girls is 5 : 7. How many more girls than boys are in the play?

Mathematics

2 answers:

denis-greek [22]3 years ago

5 0

<span>48 students
</span>
boys to girls is 5 : 7 = 20 : 28

Answer: There are 8 more girls than boys in the play

VikaD [51]3 years ago

4 0

8 more boys
Hope this helps

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Write 5^3 x √5 as a single power of 5

MakcuM [25]

√5 = 5^(1/2)

Multiplying two number with the same base has as result a number with the same base and the sum of the exponents so:

1/2 + 3 = 7/2
which means
5^3 x 5^(1/2) = 5^(7/2)

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3 years ago

A log is floating on swiftly moving water. A stone is dropped from rest from a 50.8-m-high bridge and lands on the log as it pas

TiliK225 [7]

Answer:

Horizontal distance between the log and the bridge when the stone is released = 17.24 m

Step-by-step explanation:

Height of bridge, h = 50.8 m

Speed of log = 5.36 m/s

We need to find the horizontal distance between the log and the bridge when the stone is released, for that first we need to find time taken by the stone to reach on top of log,

We have equation of motion. s = ut + 0.5 at²

Initial velocity, u = 0 m/s

Acceleration, a = 9.81 m/s²

Displacement, s = 50.8 m

Substituting,

s = ut + 0.5 at²

50.8 = 0.5 x 9.81 x t²

t = 3.22 seconds,

So log travels 3.22 seconds at a speed of 5.36 m/s after the release of stone,

We have equation of motion. s = ut + 0.5 at²

Initial velocity, u = 5.36 m/s

Acceleration, a = 0 m/s²

Time, t = 3.22 s

Substituting,

s = ut + 0.5 at²

s = 5.36 x 3.22 + 0.5 x 0 x 3.22²

s = 17.24 m

Horizontal distance between the log and the bridge when the stone is released = 17.24 m

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3 years ago

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Answer:

required probability is .3446

Step-by-step explanation:

It is given that most expected time of completion = 90 days

Variance = 25

We know that

$\sigma =\sqrt{Variance}\\\\\sigma =\sqrt{25}\\\sigma =5$

Thus the standard normal deviate is given by

$Z=\frac{X-\bar{X}}{\sigma }$

Applying values we get

$Z=\frac{88-90}{5}\\\\Z=-0.4$

Using the standard table for Z we have probability corresponding to Z = -0.4 equals 0.3446

Thus required probability is .3446

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3 years ago

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Answer:

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