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Softa [21]
3 years ago
12

. One half of a number represented by x is -0.25. What is the value of x?

Mathematics
1 answer:
Jlenok [28]3 years ago
7 0
Of means multiply
is means equals

1/2 • x = -.25

Rewritten

.5•x=-.25

Inverse operations to isolate the variable.

x = -.25/.5

x = -.5
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An athlete earns $350,000 each year. If his team makes the play-offs, he will earn a 15% bonus. What will be his total earnings
Andrews [41]
He will earn $402,500  $350,000 plus a 15% bonus of $52,500
3 0
3 years ago
Find the area of the circle with a circumference of
Anton [14]

Answer:

706.50 mm^2

Step-by-step explanation:

The formula to find the circumference is 2πr (r : radius)

if the circumference is 30π the the radius is = 15

to find the area we use the following formula :

π*r^2

r = 15 and π is given as 3.14

(3.14)*15^2 = 706.50 mm^2

8 0
3 years ago
There are 4 people at a party. Consider the random variable X=’number of people having the same birthday ’ (match only month, N=
yulyashka [42]

Answer:

S = {0,2,3,4}

P(X=0) = 0.573 , P(X=2) = 0.401 , P(x=3) = 0.025, P(X=4) = 0.001

Mean = 0.879

Standard Deviation = 1.033

Step-by-step explanation:

Let the number of people having same birth month be = x

The number of ways of distributing the birthdays of the 4 men = (12*12*12*12)

The number of ways of distributing their birthdays = 12⁴

The sample space, S = { 0,2,3,4} (since 1 person cannot share birthday with himself)

P(X = 0) = \frac{12P4}{12^{4} }

P(X=0) = 0.573

P(X=2) = P(2 months are common) P(1 month is common, 1 month is not common)

P(X=2) = \frac{3C2 * 12P2}{12^{4} } + \frac{4C2 * 12P3}{12^{4} }

P(X=2) = 0.401

P(X=3) = \frac{4C3 * 12P2}{12^{4} }

P(x=3) = 0.025

P(X=4) = \frac{12}{12^{4} }

P(X=4) = 0.001

Mean, \mu = \sum xP(x)

\mu = (0*0.573) + (2*0.401) + (3*0.025) + (4*0.001)\\\mu = 0.879

Standard deviation, SD = \sqrt{\sum x^{2} P(x) - \mu^{2}}  \\SD =\sqrt{ [ (0^{2} * 0.573) + (2^{2}  * 0.401) + (3^{2} * 0.025) + (4^{2} * 0.001)] - 0.879^{2}}

SD = 1.033

4 0
3 years ago
One day, eleven babies are born at a hospital. Assuming each baby has an equal chance of being a boy or girl, what is the probab
Andrews [41]
You only need to consider the situations where 10 or 11 of the babies are girls, then subtract those probabilities from 1.  This will give probability that any other number up to 9 of the babies are girls.

Use binomial theorem.
P(x=k) = (nCk) p^k (1-p)^{n-k}

n = 11
k = 10,11
p = 1/2

P(x=10) = 11 (\frac{1}{2})^{11} = \frac{11}{2048} \\  \\ P(x=11) = 1(\frac{1}{2})^{11} = \frac{1}{2048} \\  \\ P(x \leq 9) = 1 - \frac{11}{2048} - \frac{1}{2048} \\  \\ P(x \leq 9)=\frac{2036}{2048} = \frac{509}{512}
4 0
3 years ago
Please Answer ASAP
Nat2105 [25]

Answer:

use a ratio

Step-by-step explanation:

you work 10 hours and make $25.  How much do you earn per hour? (this is your unit rate.)

<u>10 hours</u>

$25

divide and you get an answer of $2.50 per hour

to check your answer work the problem backwards, take $2.50 times 10 hours = $25

6 0
3 years ago
Read 2 more answers
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