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worty [1.4K]
4 years ago
15

A quick quiz consists of a multiple-choice question with 4 possible answers followed by a multiple-choice question with 3 possib

le answers. If both questions are answered with random guesses, find the probability that both responses are correct.
Mathematics
1 answer:
olga55 [171]4 years ago
7 0

Answer:

0.0825

Step-by-step explanation:

1/4x1/3=0.0825

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A certain brand of flood lamps has a lifetime that is normally distributed with a mean of 3,750 hours and a standard deviation o
vesna_86 [32]
Given that mean=3750 hours and standard deviation is 300:
Then:
<span>a. The probability that a lamp will last for more than 4,000 hours?
P(x>4000)=1-P(x<4000)
but
P(x<4000)=P(z<Z)
where:
z=(x-</span>μ)/σ
z=(4000-3750)/300
z=0.833333
thus
P(x<4000)=P(z<0.8333)=0.7967
thus
P(x>4000)=1-0.7967=0.2033

<span>b.What is the probability that a lamp will last less than 3,000 hours?
P(x<3000)=P(z<Z)
Z=(3000-3750)/300
z=-2.5
thus
P(x<3000)=P(z<-2.5)=0.0062

c. </span><span>.What lifetime should the manufacturer advertise for these lamps in order that only 4% of the lamps will burn out before the advertised lifetime?
the life time will be found as follows:
let the value be x
the value of z corresponding to 0.04 is z=-2.65
thus
using the formula for z-score:
-2.65=(x-3750)/300
solving for x we get:
-750=x-3750
x=-750+3750
x=3000</span>
7 0
4 years ago
Help pleaseee it’s a quiz<br> 35 points
nekit [7.7K]

Answer:

what do you need help with

Step-by-step explanation:

6 0
3 years ago
Someone?? Can you help me with this??
Vesna [10]

Answer:

which class question is this

3 0
3 years ago
What is the ratio for consonants to vowels,Vowels to total letters,and all letters to consonants
Studentka2010 [4]

Answers:

  • Ratio of consonants to vowels = 21:5
  • Ratio of vowels to total letters = 5:26
  • Ratio of all letters to consonants = 26:21

================================================

Explanation:

vowels = {a, e, i, o, u}

consonants = anything but a vowel (eg: the letter R)

There are 26 letters in the English alphabet. Five of which are vowels, so there are 26-5 = 21 consonants.

The ratio of consonants to vowels is 21:5

The <u>order is important</u> because the number of consonants must be listed first, simply because "consonants" is mentioned first in the phrasing "ratio of consonants to vowels". In other words, writing 5:21 would mean the ratio of vowels to consonants.

The ratio 21:5 cannot be reduced further since 21 and 5 have no factors in common (other than 1).

------------------------------

The other ratios will follow a similar idea as mentioned in the previous section.

To get the ratio of vowels to total letters, we list the number of vowels first (5) follow by the number of letters (26). A colon separates the two numbers to form the ratio 5:26

This ratio cannot be reduced further.

-------------------------------

Like in the previous sections, we'll glue together two numbers to form a ratio. In this case, we have 26 letters glued with 21 consonants to form the ratio 26:21 and this represents the ratio of total letters to consonants.

This ratio cannot be reduced further.

5 0
3 years ago
Read 2 more answers
Divide 20 chocolates between Adi and Suresh such that adi gets 60% while Suresh gets 40% of the chocolates
Eddi Din [679]

Hello!

To find how much chocolate Adi and Suresh receives, you need to convert the percentage to a decimal, then you multiply that decimal by the total number of chocolates, which is 20.

To convert percentages to decimals, divide the percentage by 100, and remove the percentage.

60% / 100 = 0.60

20% / 100 = 0.20

Then, we multiply 0.60 and 0.20 by 20.

0.60 x 20 = 12

0.40 x 20 = 8

Therefore, Adi gets 12 chocolates and Suresh gets 8 chocolates.

6 0
3 years ago
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