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4 years ago

Write the number 1/10,000,000 as a power of 10 using a negative exponents

Mathematics

1 answer:

allochka39001 [22]4 years ago

8 0

First, convert into a decimal:

1/10,000,000 = 0.00000001

Next, convert to "the number with a power of 10 using a negative exponent. Move the decimal point to the first <em>number that is not 0</em> (sorry, there is a term for it, but i can't remember it right now, but it is not important to solving the answer)

0.000001 = 1 * 10^-7

1 * 10^-7 is your answer

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The Pick 4 games in many state lotteries announce a four‑digit winning number each day. Each of the 10,000 possible numbers 0000

Finger [1]

Answer:

Step-by-step explanation:

Given that the Pick 4 games in many state lotteries announce a four‑digit winning number each day. Each of the 10,000 possible numbers 0000 to 9999 has the same chance of winning. You win if your choice matches the winning digits. Suppose your chosen number is 3079 .

a) The probability that the winning number matches your number exactly

= 1 out of 10000 = 0.0001

b) the probability that the winning number has the same digits as your number in any order

This includes 0379, 0397, 0739, 0793, 0937, 0397 i.e. starting from 0 there are 6 = 3! ways

Or 3079 can be arranged in 4! ways = 24

Favorable outcomes = 24

Prob of winning = 24/10000 = 0.00024

=0.0002

4 0

3 years ago

On the planet of Mercury, 4-year-olds average 3 hours a day unsupervised. Most of the unsupervised children live in rural areas,

erastova [34]

Answer:

The distribution of X is normal

$P(X < 1.4) = 0.12654$

$P(X > 3.5) = 0.36051$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 3 \ hours$

The standard deviation is $\sigma = 1.4 \ hours$

Generally given from the question that the amount of time spent alone by the population size is normally distributed then then the distribution of X (i.e the amount of time spent by the sample size (the one Mercurian)) will be normally distributed

Generally the probability that the child spend less than one hour in a day is mathematically represented as

$P(X < 1.4) = P(\frac{X - \mu}{\sigma} < \frac{1.4 - \mu}{\sigma} )$

Here $\frac{X - \mu}{\sigma } = Z (The\ standardized\ value\ of\ X)$

$P(X < 1.4) = P(Z < \frac{1.4 - 3.0}{1.4} )$

$P(X < 1.4) = P(Z < -1.1429 )$

From the z-table the value of

$P(Z < -1.1429 )=0.12654$

So $P(X < 1.4) = 0.12654$

Generally the percentage of children that spends over 3.5 hours unsupervised is mathematically represented as

$P(X > 3.5) = P(\frac{X - \mu}{\sigma} > \frac{3.5 - \mu}{\sigma} )$

$P(X > 3.5) = P(Z > \frac{3.5 - 3.0}{1.4} )$

$P(X > 3.5) = P(Z > 0.3571 )$

From the z-table the value of

$P(Z >0.3571 )=0.36051$

So $P(X > 3.5) = 0.36051$

5 0

3 years ago

A circle is centered at the point (-3, 2) and passes through the point (1, 5). The radius of the circle is ______ units. The poi

nalin [4]

Circle formula
(x-h)^2+(y-k)^2=r^2 where (h,k) is the center
and r=radius

to find the radius
we are given one of the points and the center
distnace from them is the radius
distance formula
D= $\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}$
points (-3,2) and (1,5)
D= $\sqrt{(1-(-3))^{2}+(5-2)^{2}}$
D= $\sqrt{(4)^{2}+(3)^{2}}$
D= $\sqrt{16+9}$
D= $\sqrt{25}$
D=5

center is -3,2
r=5
input
(x-(-3))^2+(y-2)^2=5^2
(x+3)^2+(y-2)^2=25 is equation
radius =5
input -7 for x and solve for y
(-7+3)^2+(y-2)^2=25
(-4)^2+(y-2)^2=25
16+(y-2)^2=25
minus 16
(y-2)^2=9
sqqrt
y-2=+/-3
add 2
y=2+/-3
y=5 or -1

the point (-7,5) and (7,-1) lie on this circle

radius=5 units
the points (-7,5) and (-7,1) lie on this circle

3 0

4 years ago

Jason wrote 1-1/3 as the sum of three fractions. None of the fractions had a denominator of 3. What fractions might Jason might

WINSTONCH [101]

Answer:

anything with denominators of 9

Step-by-step explanation:

5 0

3 years ago

Pueden ayudarme pliiis

Leona [35]

Answer:\b

Step-by-step explanation:

3 0

3 years ago