Answer:
a. 11.26 % b. 6.76 %. It appears so since 6.76 % ≠ 15 %
Step-by-step explanation:
a. This is a binomial probability.
Let q = probability of giving out wrong number = 15 % = 0.15
p = probability of not giving out wrong number = 1 - q = 1 - 0.15 = 0.75
For a binomial probability, P(x) = ⁿCₓqˣpⁿ⁻ˣ. With n = 10 and x = 1, the probability of getting a number wrong P(x = 1) = ¹⁰C₁q¹p¹⁰⁻¹
= 10(0.15)(0.75)⁹
= 1.5(0.0751)
= 0.1126
= 11.26 %
b. At most one wrong is P(x ≤ 1) = P(0) + P(1)
= ¹⁰C₀q⁰p¹⁰⁻⁰ + ¹⁰C₁q¹p¹⁰⁻¹
= 1 × 1 × (0.75)¹⁰ + 10(0.15)(0.75)⁹
= 0.0563 + 0.01126
= 0.06756
= 6.756 %
≅ 6.76 %
Since the probability of at most one wrong number i got P(x ≤ 1) = 6.76 % ≠ 15 % the original probability of at most one are not equal, it thus appears that the original probability of 15 % is wrong.
To complete the square for x2 + 18x = 4, add what
to both sides
Answer:
subtract 4 to both sides ending with
x^2+18-4=0
What is the quotient? Negative StartFraction 3 over 8 EndFraction divided by negative one-fourth WILL GIVE BRAINLIEST
Answer:
Im not too sure given yopur formatting, but I believe you meant this: -((3/8)/(-1/4))
therfore, the answer is: 3/2
Step-by-step explanation:
You can seperate the two fractions as 3/8 divided by -1/4, which is equal to 3/8 * 4/-1, simply multiply across to get 12/-8, which simplifies to -3/2. Flip the sign to get 3/2
Answer:
3/2
Step-by-step explanation:
A sample of 1500 computer chips revealed that 41% of the chips fail in the first 1000 hours of their use. The company's promotional literature claimed that less than 44% fail in the first 1000 hours of their use. Is there sufficient evidence at the 0.02 level to support the company's claim?
Answer:
Yes, there will be sufficient evidence at the 0.02 level to support the company's claim
Step-by-step explanation:
Firstly we need to state the null and alternative hypothesis for the above question
We also need to test whether the proportion of chips that fails before 1000 hours is under 0.44. Hence, our hypotheses will be:
H o: p = 0.48
H a: p > 0.48
Where P represent the proportion of Chips.
Question 10
A bank loaned out $29,000, part of it at the rate of 13% annual interest, and the rest at 4% annual interest.
The total interest earned for both loans was $2,195.00. How much was loaned at each rate?
Answer:
$11,500 was invested at 13%.
$17,500 was invested at 4%
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
In this question:
Loans totaling 29,000.
P was invested at 13%
29000 - P was invested at 4%.
First investment:
Principal P.
Interest 13% = 0.13.
One year, so t = 1.
So
[tex]E_{1} = P*0.13*1[/tex]
[tex]E_{1} = 0.13P[/tex]
Second investment:
Principal 29000 - P.
Interest 4% = 0.04.
One year, so t = 1.
So
[tex]E_{2} = (29000-P)*0.04[/tex]
The total interest earned for both loans was $2,195.00.
This means that [tex]E_{1} + E_{2} = 2195[/tex]
So
[tex]E_{2} = 2195 - E_{1}[/tex]
So we solve the following system:
[tex]E_{1} = 0.13P[/tex]
[tex]E_{2} = (29000-P)*0.04[/tex]
[tex]2195 - E_{1} = (29000-P)*0.04[/tex]
[tex]2195 - 0.13P = 1160 - 0.04P[/tex]
[tex]0.09P = 2195 - 1160[/tex]
[tex]P = \frac{2195 - 1160}{0.09}[/tex]
[tex]P = 11500[/tex]
$11,500 was invested at 13%.
29000 - 11500 = 17500
$17,500 was invested at 4%
Solve. -2 1/3 - (-5)=
Answer:
[tex]\frac{8}{3}[/tex]
Step-by-step explanation:
[tex]-2\frac{1}{3} - (-5)\\=\frac{-7}{3} + 5\\= \frac{-7}{3} + \frac{15}{3} \\= \frac{8}{3}[/tex]
Hope this helps!
Answer:
8/3 or 2 2/3
Step-by-step explanation:
-2 1/3 - (-5)
-7/3 + 5
-7/3 + 15/3
8/3
00:00
Use the drop-down menu to complete the comparison
1 mi 72 in
Choose...
5,286 ft
Answer:
5286 ft
Step-by-step explanation:
The question has been answered but I guess you need an explanation on how the answer was derived.
Given Parameter
1 mi 72 inch
Required
Convert to feet
To complete this conversion, we need to split the given data into 2.
1 mi and 72 inch
= 1 mi + 72 inch
Then we convert them separately.
From unit of standard conversion;
1 mile (1 mi) is equivalent to 5280 ft
Also from unit of standard conversion
1 inch = 1/12 foot
So, 72 inches will be
=> 72 * 1/12 ft
=> 72/12 ft
=> 6 ft
Now that we have the equivalent of 1 mi and 72 in, in foot.
We can then write the following;
1 mi + 72 inch
=> 5280 ft + 6 ft
=> 5286 ft.
Hence, 1 mi 72 inch is equivalent to 5286 ft
Answer:
Use the drop-down menu to complete the comparison.
1 mi 72 in.
=
5,286 ft
Step-by-step explanation:
the ortiz family is building a barn on a property with a perimeter of 120 meters. what is the area of the property that Mr. Ortiz is building the barn on?
Answer:
900 square meters
Step-by-step explanation:
The property is in the shape of a square.
The perimeter of a square is given as:
P = 4L
where L = length of its side
Therefore, the length of the property is:
120 = 4 * L
L = 120 / 4 = 30 meters
The area of a square is given as:
A = L * L
Therefore, the area of the property is:
A = 30 * 30 = 900 square meters
Si: P(x) = 3x ; R(x) = 2x ; calcula : P(R (0))
Answer:
0
Step-by-step explanation:
Put 0 where x is and do the arithmetic.
R(0) = 2(0) = 0
P(R(0)) = P(0) = 3(0)
P(R(0)) = 0
a game board has 9 cards, and 3 say WIN. Emma picks 2 cards without replacing the first. What is the probability that neither say WIN.
Answer:
0.417
Step-by-step explanation:
Total event = 9
3 cards are for win
6 cards are for not win .ie neither win
He picks two cards without replacement.
Probabilty of neither to say win
= 6/9 * 5/8
=30/72
= 0.417
Imagine we are throwing a five-sided die 50 times. On average, out of these 50 throws how many times would this five-sided die show an odd number (1, 3 or 5)?
Answer:
[tex]30[/tex]
Step-by-step explanation:
There are 3 outcomes out of 5 that are odd.
[tex]\frac{3}{5}[/tex]
Throw it 50 times.
[tex]50*\frac{3}{5}[/tex]
Answer:
30.
Step-by-step explanation:
The probability of throwing a 1, 3 or 5 on one throw is 3/5.
So on 50 throws the average would be 50 * 3/5 = 30 times.
Tom drives a truck. His regular trip is a distance of 280 km. He drives at an average speed of 80 km/h.
For safety reasons Tom’s boss puts a speed limiter on his truck. This reduces Tom’s average speed by 10 km/h.
How much longer will it take Tom to drive his regular trip?
Answer:
.5 hour, or 30 minutes
Step-by-step explanation:
280 km / 80 kmh = 3.5 hr before limiter
280 km / (80-10) kmh = 4 hr after
so .5 hour from 3.5 to 4 hours. or 30 minutes
This is provided he matains this speed at all times.
Can someone help :(!
Answer:
1/(t+4)²
Step-by-step explanation:
[tex]\dfrac{t+3}{t+4}\div(t^2+7t+12)=\dfrac{t+3}{t+4}\cdot\dfrac{1}{(t+3)(t+4)}=\dfrac{(t+3)}{(t+3)(t+4)^2}\\\\=\boxed{\dfrac{1}{(t+4)^2}}[/tex]