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3 years ago

A baseball player reaches first base 30% of the times he is at bat. Out of 50

Mathematics

2 answers:

gavmur [86]3 years ago

8 0

ANSWER:

15 times.

EXPLANATION:

For 50 times of batting, the player will reach first base 30% of 50 times i.e,

30/100 × 50
15 times.

Rasek [7]3 years ago

5 0

Answer:

15 times

Step-by-step explanation:

The proportion is:

k = 30% = 30/10 = 3/10

Out of 50 times, the player will reach first base:

50*3/10 = 15 times

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Margaret deposits $1,000 in a savings account that pays 1.4% interest compounded

ozzi

Answer:

The balance after 1 year is;

$1,014.05

Step-by-step explanation:

To do this, we use the compound interest formula

That will be ;

A =P (1 + r/n)^nt

A is the amount generated which we want to calculate

r is the rate = 1.4% = 0.014

P is the amount deposited = $1,000

n is the number of times it is compounded annually which is 2 (semi-annually means 2 times in a year)

this the number of years which is 1

we have this as:

A = 1,000( 1 + 0.014/2)^(2*1)

A = 1,000(1 + 0.007)^2

A = 1,000(1.007)^2

A = $1,014.05

8 0

3 years ago

A vendor has 12 balloons for sale: 6 are yellow, 2 are red, and 4 are green. A balloon is selected at random and sold. If the ba

olchik [2.2K]

Answer is 5 over 11. I hope this may help you

8 0

3 years ago

Read 2 more answers

You have a wire that is 20 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The o

Aleksandr [31]

Answer:

Therefore the circumference of the circle is $=\frac{20\pi}{4+\pi}$

Step-by-step explanation:

Let the side of the square be s

and the radius of the circle be r

The perimeter of the square is = 4s

The circumference of the circle is =2πr

Given that the length of the wire is 20 cm.

According to the problem,

4s + 2πr =20

⇒2s+πr =10

$\Rightarrow s=\frac{10-\pi r}{2}$

The area of the circle is = πr²

The area of the square is = s²

A represent the total area of the square and circle.

A=πr²+s²

Putting the value of s

$A=\pi r^2+ (\frac{10-\pi r}{2})^2$

$\Rightarrow A= \pi r^2+(\frac{10}{2})^2-2.\frac{10}{2}.\frac{\pi r}{2}+ (\frac{\pi r}{2})^2$

$\Rightarrow A=\pi r^2 +25-5 \pi r +\frac{\pi^2r^2}{4}$

$\Rightarrow A=\pi r^2\frac{4+\pi}{4} -5\pi r +25$

For maximum or minimum $\frac{dA}{dr}=0$

Differentiating with respect to r

$\frac{dA}{dr}= \frac{2\pi r(4+\pi)}{4} -5\pi$

Again differentiating with respect to r

$\frac{d^2A}{dr^2}=\frac{2\pi (4+\pi)}{4}$ > 0

For maximum or minimum

$\frac{dA}{dr}=0$

$\Rightarrow \frac{2\pi r(4+\pi)}{4} -5\pi=0$

$\Rightarrow r = \frac{10\pi }{\pi(4+\pi)}$

$\Rightarrow r=\frac{10}{4+\pi}$

$\frac{d^2A}{dr^2}|_{ r=\frac{10}{4+\pi}}=\frac{2\pi (4+\pi)}{4}>0$

Therefore at $r=\frac{10}{4+\pi}$ , A is minimum.

Therefore the circumference of the circle is

$=2 \pi \frac{10}{4+\pi}$

$=\frac{20\pi}{4+\pi}$

4 0

2 years ago

(50 points) need help with khan practice geometry

Vedmedyk [2.9K]

The awnser is 60 because

It is a cube so it has the smae amout of sides

8 0

2 years ago

Please solve ??+1/16=3/2

Vladimir79 [104]

Answer:

x = 23/16

Step-by-step explanation:

x + 1/16 = 3/2

Get a common denominator

x + 1/16 = 3/2 *8/8

x + 1/16 = 24/16

Subtract 1/16 from each side

x+1/16 -1/16 = 24/16 -1/16

x = 23/16

6 0

2 years ago

Read 2 more answers