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madreJ [45]
3 years ago
5

Carson drives to school the same way each day, and there are two independent traffic lights on his trip to school. he knows that

there is a 30% chance that he will have to stop at the first light and an 80% chance that he will have to stop at the second light. what is the probability that he will not have to stop at either light?
Mathematics
2 answers:
vodka [1.7K]3 years ago
8 0
0.3x0.8=0.24 so 24% chance he wont have to stop i think
Vinil7 [7]3 years ago
4 0

Answer:

14% is the probability he wont have to stop at either light

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5. Jada is making circular birthday invitations for her friends.
Novosadov [1.4K]

Answer:

Step-by-step explanation:

Jada is making circular invitations

we have d=12 cm, the radius r=6

she needs to find out the circumference

C=2x3.14x r

C=2x 3.14x6=37.68

180/37.68=4.77

she can make just 4 invitations

5 0
3 years ago
Sarah scooped out forty-three pieces of candy to buy at the store. She wants to divide the candy evenly among eighteen people. H
Oksana_A [137]

Answer:

43 / 8 = 5.37

Step-by-step explanation:

each person will get around 5 pieces of candies...

7 0
3 years ago
Read 2 more answers
The measurement of the complement of an angle exceeds the measure of the angle by 25%. Find the measurement of the angle and its
tester [92]
Let the angles be A and C 

<span>Complimentary angles, therefor </span>
<span>A + C = 90 </span>

<span>The measurement of the complement of an angle exceeds the measure of the angle by 25% (you used a % sign so I'll use % instead of degrees) </span>
<span>C = 1.25A </span>

<span>Substitute </span>
<span>A + 1.25A = 90 </span>
<span>2.25A = 90 </span>
<span>A = 40º <----- </span>
<span>C = 50º <----- </span>
<span>------------------------------ </span>

<span>If you meant 25º </span>
<span>A + (A + 25) = 90 </span>
<span>2A + 25 = 90 </span>
<span>2A = 65 </span>
<span>A = 32.5º </span>
<span>C = 57.5º</span>
3 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
Solve the problem -22.9 + 42.0
Yakvenalex [24]
19.1 Hope this helps a lot
6 0
3 years ago
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