Answer:
A) 0.8131 ≈ 0.81
B) 0.6322 ≈ 0.63
C) 0.7639 ≈ 0.77
Step-by-step explanation:
A)
Total number of units
= 55 + 32 + 17 + 3
= 107
hence the probability that the failure involves a gas leak
= ( 55 + 32 ) / 107
= 0.8131
B) probability that there is evidence of electrical failure given tat there is a gas leak
P ( A / B ) = [tex]\frac{P(A n B)}{P(B)}[/tex]
P( A∩B ) = 55/107 = 0.5140
P ( B ) = ( 55 + 32 ) / 107 = 0.8131
hence P ( A / B ) = 0.5140 / 0.8131 = 0.6322
A = failure due to electrical
B = failure due to gas leak
C) Probability of a gas leak given that there is evidence of electrical failure
P ( B / A ) = [tex]\frac{P(BnA)}{P(A)}[/tex]
P ( B ∩ A ) = 0.5140
P( A ) = ( 55 + 17 ) / 107 = 0.6729
hence P ( B / A ) = 0.5140 / 0.6729 = 0.7639
Leslie’s employer will match up to 3% of her salary in contributions to her 401(k). Her monthly salary is $3,200, and the company allows her to make contributions to a maximum of 10% of her salary. What is the maximum monthly deposit to Leslie’s 401(k), including her employer’s matching contribution?
Answer:
$416.00
Step-by-step explanation:
Leslie's 10% and her employer's 3% total 13% of her salary:
0.13 · $3200 = $416
The maximum monthly deposit to Leslie’s 401(k) account, including her employer’s matching contribution, is $416.
What is a matching contribution?A matching contribution is a type of contribution that Leslie's employer decides to contribute to Leslie's 401(k) plan, which is an employer-sponsored retirement plan.
Data and Calculations:Monthly salary = $3,200
Leslie's maximum contribution = 10% of salary
Employer's matching contribution = 3% of salary
Total contributions to the 401(k) plan = 13% of salary
= $416 ($3,200 x 13%)
Thus, the maximum monthly deposit to Leslie’s 401(k) account, including her employer’s matching contribution, is $416.
Learn more about matching contributions at https://brainly.com/question/16338999
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The bakers at Healthy Bakery can make 310 bagels in 2 hours. How many
bagels can they bake in 20 hours? What was that rate per hour?
Answer:
The number of bagels made in 20 hours is 3100 bagels, at the rate of 155 bagels per hour.
Step-by-step explanation:
Given;
number of bagels in 2 hours = 310 bagels
The rate per hour is calculated as;
[tex]Rate = \frac{310 \ bagels}{2 \ hours}\\\\Rate = 155 \ bagels \ per \ hour[/tex]
In 20 hours, the number of bagels made is calculated as;
Number of bagels = 155 (bagels/hour) x 20 (hour)
= 3100 bagels.
Therefore, the number of bagels made in 20 hours is 3100 bagels, at the rate of 155 bagels per hour.
Find the surface area of the rectangular prism.
4 mi
5 mi
4 mi
Answer:
112
Step-by-step explanation:
A = 2 (wl+hl+hw)
A = 2 (4 x 5 + 4 x 5 + 4 x 4)
A = 2 (20 + 20 + 16)
A = 2 x 56
A = 112
which values are solutions to the inequality below? check all that apply √x < 5
A.) 1296
B.) 17
C.) 22
D.) 36
E.) -2
F.) 77
Answer:
B); C).
Step-by-step explanation:
1) if sqrt(x)<5, then x∈(0:25);
2) if x∈(0;25), then the values 17; 22 are correct
Witch describes the slope of this line?
undefined
zero slope
negative slope
positive slope
Answer:
Undefined
Step-by-step explanation:
A ccompany offers free shipping on orders that weigh less than 3,000 grams. How much is this in kilograms. Be sure to include the correct unit in your answer.
Answer:
The answer is 5 Kilos.
Step-by-step explanation:
There are 1000 grams in 1 Kilo, thus 1000g= 1k, so 5000g=5k.
Answer:
its 3kg
Step-by-step explanation:
Lin’s family has completed 30% of a trip. They have traveled 60 miles. How far is the trip?
Answer:
50 miles
Step-by-step explanation:
Please Brainiest It will help me get to my quest!!??!?!
Answer:
200 miles
Step-by-step explanation:
30%=60
60x3=180
180=90
60/3= 20
20=10%
180+20=200
Circle O has a center at (-2, -2) and a diameter of 10 units. Which point lies on circle O ?
Answer:
Step-by-step explanation:
Many points lie circle O
The points with a distance of 10 units will be on the circle
eg. (8,-2) or (4,6) both lie on the circle as they have a distance of 10 units from the center.
21 miles equal how many feet
Answer:
110, 880 feet
Step-by-step explanation:
5,280 feet in one mile x 21 miles
Answer:
110, 880 feet
Step-by-step explanation:
MARKING BRAINLY ASAP
Answer:
https://brainly.com/question/20936691
I answered it here, but you might have to search the answers for part A. Sorry.
Polygon LMNPQ is shown on the coordinate grid. What is the preempted of polygon LMNPQ
The question is incomplete. Here is the complete question.
Polygon LMNPQ is shown on the coordinate grid. What is the perimeter of polygon LMNPQ?
A. [tex]2+12\sqrt{2}[/tex] units
B. [tex]7+2\sqrt{2}[/tex] units
C. [tex]10+4\sqrt{2}[/tex] units
D. [tex]12+2\sqrt{2}[/tex] units
E. [tex]12+4\sqrt{2}[/tex] units
Answer: E. [tex]12+4\sqrt{2}[/tex] units
Step-by-step explanation: Perimeter of a figure is the sum of all of its sides.
The polygon is drawn on a plane. The distance between a pair of points will give that side its measure.
Distance of two points is calculated as
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
Segment MN:
Coordinates: M (2,4) and N (5,8)
[tex]d=\sqrt{(5-2)^{2}+(8-4)^{2}}[/tex]
d = 5
Segment ML:
Coordinates: M (2,4) and L (4,2)
[tex]d=\sqrt{(2-4)^{2}+(4-2)^{2}}[/tex]
[tex]d=2\sqrt{2}[/tex]
Segment NP:
Coordinates: N (5,8) and P (8,4)
[tex]d=\sqrt{(5-8)^{2}+(8-4)^{2}}[/tex]
d = 5
Segment PQ:
Coordinates: P (8,4) and Q (6,2)
[tex]d=\sqrt{(8-6)^{2}+(4-2)^{2}}[/tex]
[tex]d=2\sqrt{2}[/tex]
Segment LQ:
Coordinates: L (4,2) and Q (6,2)
[tex]d=\sqrt{(6-4)^{2}+(2-2)^{2}}[/tex]
d = 2
Calculating perimeter (P):
P = MN + ML + NP + PQ + LQ
P = [tex]5+2\sqrt{2}+5+2\sqrt{2}+2[/tex]
P = [tex]12+4\sqrt{2}[/tex]
Perimeter of polygon LMNPQ is [tex]12+4\sqrt{2}[/tex] units
‼️‼️‼️‼️‼️‼️‼️‼️HELPPPPPPPP NOWWWW and any other questions on my page recently ill mark you brainliest
Answer:
A) t(x)=948(0.955)^x
Step-by-step explanation:
The key term here is decreases by. This means there's going to be exponential decay. The exponential decay factor, r, in this case, will be r=1-0.045=0.955 and we also know this is exponential decay because r<1. The only possible option that works is A because when x=0 the result should be $948 because only 0 years have passed!
I'll give brainliest for the first and correct answer! The perimeter of a triangle is 135. The sides have lengths a, b, and c. The ratio of a to b is 3:5 and the ratio of a to c is 6:11. Find the length of each side of the triangle.
9514 1404 393
Answer:
(a, b, c) = (30, 50, 55)
Step-by-step explanation:
If we rewrite the ratio of A to B so it has the same number of ratio units as in the ratio of A to C, we have ...
A : B = 3 : 5 = 6 : 10
A : C = 6 : 11
so ...
A : B : C = 6 : 10 : 11
The total number of ratio units is 27. They stand for 135 real units, so each one stands for 135/27 = 5 real units.
Multiplying the last ratio statement by 5, we find the lengths of each of the sides.
A : B : C = 6 : 10 : 11 = 30 : 50 : 55
The side lengths are (a, b, c) = (30, 50, 55).
what does 4f-2f + 3-f= equal
Answer:
f + 3
Step-by-step explanation:
Combine like-terms
4f - 2f - f +3
f + 3
Answer:
4f-2f+3-f
2f-f+3
f+3
f= -3
Step-by-step explanation:
dentify as an increase or decrease. Then find the percent of increase or decrease. If necessary, round to the nearest percent.
Original: 150
New: 130
Answer:
Step-by-step explanation:
The difference is 130-150 = -20, a decrease.
-20/150 ≅ -0.133, a decrease of 13.3%
Help! Please Help lol
How many triangles can be made if two sides are 4 inches and the angle between
them is 90°? (5 points)
O 1
02
O More than 2
O None
Please answe number 1 PLEASE
Answer:
i believe the answers D
Step-by-step explanation:
Answer:
i think its B
Step-by-step explanation:
ANSWWER QUICK IM TIMED
What is the y-coordinate of point W?
On a coordinate plane, point W is 2.5 units to the right and 1.5 units down.
A. -2.5
B. -1.5
C. 1.5
D. 2.5
Answer:
-1.5
Step-by-step explanation:
the y coordinate is along the vertical axis so because the point is 1.5 units down, the y-coordinate is -1.5
(03.02)
Which of the following is a factor of 48x2 − 26x + 3? (1 point)
Select one:
a. 8x − 3
b. 12x − 1
c. 4x − 3
d. None of the above
Answer:
A
Step-by-step explanation:
48x^2-8x-18x=3
8x(6x-1)-3(6x-1)
(8x-3)(6x-1)
8x-3
Answer:
Step-by-step explanation:
48x2 - 26x + 3
48x2 - 18x - 8x + 3
6x( 8x - 3) - 1(8x - 3)
(8x - 3) and (6x - 1) are the factors
Option A is the correct answer
are these correct? i hate how the teacher had me do this.but picture above.
Answer:
Yes they are correct
Step-by-step explanation:
Suppose a 99% confidence interval for the mean weight of high school girls in pounds is (102.3, 106.5). If we had measured the weights of each of the girls in kilograms (2.2 pounds = 1 kilogram) then the confidence interval for the mean weight of high school girls in kilograms would have been
Answer:
The confidence interval for the mean weight of high school girls in kilograms would have been would have been (46.5, 48.41).
Step-by-step explanation:
To find the interval, we can just make the conversion of the values from pounds to kilograms.
Each kilogram has 2.2 pounds. So, to realize the conversion from pounds to kilograms, we divide by 2.2.
Confidence interval: (102.3 pounds, 106.5 pounds).
102.3 pounds = 102.3/2.2 = 46.5 kilograms
106.5 pounds = 106.5/2.2 = 48.41 kilograms
The confidence interval for the mean weight of high school girls in kilograms would have been would have been (46.5, 48.41).
16, -6.4, 2.56, ..., 6th term
The 6th term of the sequence is
Answer:
the 6th term is = -0.16384
Step-by-step explanation:
Notice this is a geometric sequence with first term 16, and common ratio (-0.4)
Therefore the first 6 terms of the sequence are:
a1 = 16
a2 = 16 * (-0.4) = -6.4
a3 = -6.4 * (-0.4) = 2.56
a4 = 2.56 * (-0.4) = -1.024
a5 = -1.024 * (-0,4) = 0.4096
a6 = 0.4096 * (-0.4) = -0.16384
The the 6th term is = -0.16384
What is the result when 6x3 + 11x2 + 9x + 2 is divided by 3x + 1?
Answer:
(6x^(3)+11x^(2)-19x+5)-:-(3x-2)
Step-by-step explanation:[tex]63+112+32+1[/tex]
for some reason it showed that but yeah hope this helps!
Graph the function
Need help ASAP plz
Given:
The equation of a function is
[tex]y=(x-4)^2+1[/tex]
To find:
The graph of the given function.
Solution:
The vertex form of a parabola is
[tex]y=(x-h)^2+k[/tex] ...(i)
Where, (h,k) is vertex of the parabola.
We have,
[tex]y=(x-4)^2+1[/tex] ...(ii)
From (i) and (ii), we get
[tex]h=4, k=1[/tex]
The vertex of the parabola is (4,1).
Now, the table of values is
x y
2 5
3 2
4 1
5 2
6 5
Plot these points on a coordinate plane and connect them by a free hand curve.
The graph of given function is shown below.
Solve: 13x+4.............X=2
Which ordered pair satisfies the system of equations below?
Answer:
(2.5,-0.5)
Step-by-step explanation:
3x-y=8
x+y=2
4x=10
x=2.5
x+y=2
2.5+y=2
y=-0.5
ANS: (2.5,-0.5)
isabella collected a bunch of dimes and quarters for her school fundraiser she collected a total of 211 coins and a total of 37.30 how many dimes and how many quarters did she collect
Answer:
103 dimes and 108 quarters
Step-by-step explanation:
Given
[tex]Value = \$37.30[/tex]
[tex]Amount = 211[/tex]
Required
Determine the number of each coin collected
Represent dimes with D and quarters with Q.
[tex]1\ D= \$0.10[/tex]
[tex]1\ Q= \$0.25[/tex]
So:
[tex]0.10D + 0.25Q = 37.30[/tex] --- Value
[tex]D + Q = 211[/tex] --- Amount
Make D the subject in [tex]D + Q = 211[/tex]
[tex]D = 211 - Q[/tex]
Substitute 211 - Q for D in [tex]0.10D + 0.25Q = 37.30[/tex]
[tex]0.10(211 - Q) + 0.25Q = 37.30[/tex]
Open brackets
[tex]21.1 - 0.10Q + 0.25Q = 37.30[/tex]
Collect Like Terms
[tex]- 0.10Q + 0.25Q = 37.30 - 21.1[/tex]
[tex]0.15Q = 16.2[/tex]
Make Q the subject
[tex]Q = 16.2/0.15[/tex]
[tex]Q = 108[/tex]
Substitute 108 for Q in [tex]D = 211 - Q[/tex]
[tex]D = 211 - 108[/tex]
[tex]D = 103[/tex]
121/2% in to a fraction
9514 1404 393
Answer:
1/8
Step-by-step explanation:
You can replace % with /100 to make it a fraction.
12 1/2% = (12 1/2)/100 = (25/2)/100 = 25/200 = 1/8
__
Or, you can reduce the decimal fraction.
12.5% = 12.5/100 = 0.125 = 125/1000 = 1/8
2. The ratio of pretzels to peanuts in a trail mix is 4:9.
At the same rate if there are 80 pretzels how many
peanuts are there?
Answer:
170 peanuts I believe
Step-by-step explanation:
just did mental math, not sure if it's the right way
