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spayn [35]
3 years ago
14

What is 8 divided by 2/3

Mathematics
2 answers:
Artist 52 [7]3 years ago
6 0

Answer:

the answer to 8 divided by 2/3 is 12

Anastaziya [24]3 years ago
6 0

Answer: 12

Step-by-step explanation:

Change the whole number into a fraction: 8/1. Change the operation to multiplication, the inverse operation of division. Change two thirds to three halves, since that is the reciprocal. Multiply, the the two numbers, which equals twelve. Remember to change the improper fraction to the whole number: 12.

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A pet toy manufacturer is designing a plastic ball for dogs that will float in water. In order for the ball to float it must hav
algol13

Answer:

3.576 cm

Step-by-step explanation:

radius of ball, r=?

Given:

Density, p = 0.600g/mL

mass, m= 115g

finding volume, v of ball by using formula p=m/v

v= m/p

= 115/0.600

=191.666 mL^3

=191.666 cm^3

Now using formula v= (4/3)πr^3 to find radius, r of the ball

r^3= 3v/4π

   = 3(191.666)/4π

   =45.75 cm

r   =3.5767 cm !

7 0
3 years ago
Jarred wants to by a go-cart for $1,200
dybincka [34]

the go cart costs 1200

6 0
3 years ago
If f(x) = -x + 8 and g(x) = x^4, what is (gºf)(2)?
kotykmax [81]

Answer:

\large\boxed{(g\circ f)(2)=1296}

Step-by-step explanation:

(g\circ f)(x)=g\bigg(f(x)\bigg)\\\\f(x)=-x+8,\ g(x)=x^4\\\\(g\circ f)(x)=\g\bigg(f(x)\bigg)=(-x+8)^4\\\\(g\circ f)(2)\to\text{put x = 2 to the equation}\ (g\circ f)(x):\\\\(g\circ f)(2)=(-2+8)^4=(6)^4=1296

7 0
3 years ago
Read 2 more answers
Using the following image, if you EG = 59, what are x, EF, and FG.
Harman [31]

Answer:

x=6\,\,units\,,\,EF=34 \,\,units\,,\,FG=25\,\,units

Step-by-step explanation:

Given: EG =59 \,\,units

To find: x,EF,FG

Solution:

From the image, EG=EF+FG

Put EF=8x-14\,,\,FG=4x+1\,,\,EG=59

8x-14+4x+1=59\\12x-13=59\\12x=59+13\\\\12x=72\\x=\frac{72}{12}=6

EF=8x-14=8(6)-14=48-14=34\\FG=4x+1=4(6)+1=24+1=25

Therefore,

x=6\,\,units\,,\,EF=34 \,\,units\,,\,FG=25\,\,units

8 0
3 years ago
A large industrial firm allows a discount on any invoice that is paid within 30 days. of all invoices, 10% receive the discount.
Daniel [21]
This situation has two outcomes: either an invoice is discounted or not. This two outcomes satisfy what we call a binomial distribution (note "bi" in binomial).

The binomial distribution tells us the probability that a randomly selected sample will have the outcome of success. In this case, we consider receiving the discount as the "success" outcome while not receiving it means "failure". The distribution takes the form:

P(X=x)= _{n}C_{x} p^{x}  q^{n-x}
where n is the total number of samples, x is the number of samples you'll expect to have a success outcome, p is the probability of success, q is the probability of failure, and nCx is the combination of n samples taken x at a time.

You have an inconsistency regarding the total number of samples by the way, but I will take the first mentioned sample of 15 as I answer (you can just follow through the same process for another value).

For the next step, let's digest the problem to get the needed variables.

The total number of samples, n, is equal to 15. The probability of success (receiving a discount), p, is 10% or 0.1, and the probability of failure (not receiving a discount) is 90% or 0.9.

For P(X=x), we need to find the probability that less than two of the samples have success outcomes therefore we need to find the probability that NO invoice will receive the discount plus the probability that ONE invoice will receive the discount. This is equivalent to saying
P(X\ \textless \ 2)=P(X=0)+P(X=1)

Calculating these probabilities we'll get:
P(X=0)= _{15}C_{0} (0.1)^{0} (0.9)^{15}=0.206
P(X=1)= _{15}C_{1} (0.1)^{1} (0.9)^{14}=0.343
P(X\ \textless \ 2)=P(X=0)+P(X=1)=0.206+0.343=0.549

ANSWER: The probability that fewer than 2 sampled invoices will receive the discount is 0.549 or 54.9%.
6 0
3 years ago
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