Answer:
0.5160
Step-by-step explanation:
Let us assume that the length of fishes in the tank is normally distributed. Thus, x is the random variable representing the length of fishes in the tank. Since the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = standard deviation
number of samples
From the information given,
µ = 15
σ = 4
n = 31
We want to find the probability that x is between (15 - 0.5) inches and (15 + 0.5) inches. The probability is expressed as
P(14.5 ≤ x ≤ 15.5)
For x = 14.5
z = (14.5 - 15)/(4/√31) = - 0.7
Looking at the normal distribution table, the probability corresponding to the z score is 0.2420
For x = 15.5
z = (15.5 - 15)/(4/√31) = 0.7
Looking at the normal distribution table, the probability corresponding to the z score is 0.7580
Therefore,
P(14.5 ≤ x ≤ 15.5) = 0.7580 - 0.2420 = 0.5160
How do I solve this please look for the x and then the y
Answer:
x + y = 75
Step-by-step explanation:
2x - 5 and 75 are adjacent angles on a straight line and sum to 180° , that is
2x - 5 + 75 = 180
2x + 70 = 180 ( subtract 70 from both sides )
2x = 110 ( divide both sides by 2 )
x = 55
Then
2x - 5 = 2(55) - 5 = 110 - 5 = 105
2x - 5 and 4y + 25 are vertically opposite angles and are congruent, so
4y + 25 = 105 ( subtract 25 from both sides )
4y = 80 ( divide both sides by 4 )
y = 20
Then x + y = 55 + 20 = 75
. A circulating pump consumes 450 W for 24 hr a day. a. Determine the energy consumed for a one-year period. b. Calculate the utility energy charges for this period at a rate of $0.12/kWh. c. Determine the energy saved for a one-year period, if the pump is switched off 8 hr a day. d. Calculate the energy cost savings for this period at a rate of $0.12/kWh, if the pump is switched off 8 hr a day.
Answer:
a. 3942 kWh
b. $473.04
c. 1314 kWh
d. $157.68
Step-by-step explanation:
a.There are 1000 W in 1 kW, so 450 W = 0.450 kW. The energy used per day is ...
(0.45 kW)(24 h) = 10.8 kWh . . . . energy per day
Then in a 365-day year, the energy used is
(365 da/yr)(10.8 kWh/da) = 3942 kWh/yr
__
b.At the rate of $0.12/kWh, the cost of running the pump is ...
($0.12/kWh)(3942 kWh/yr) = $473.04/yr
__
c.Switching the pump off for 1/3 of the time will save 1/3 of the energy found in part (a):
1/3(3942 kWh) = 1314 kWh . . . . energy saved by switching off the pump
__
d.The savings will be 1/3 of the cost of running the pump full time:
1/3($473.04/yr) = $157.68/yr
What is the answer to: 1a to the power of 349 b to the power of 28 c to the power of 2 d to the power of 82 e to the power of 48 f to the power of 920 g to the power of 40 h to the power of 38 i to the power of 492 j to the power of 23 k to the power of 43 l to the power of 982 m to the power of 48 n to the power of 62=(4/2 x 10 x(the square root of 100)
Answer:
Its 7.908764333
Step-by-step explanation:
Trust me :)
helpp :(
Habib rides his bike to school. This describes his trip:
A. Rides toward school
B. Stops to wait for a friend
C. Rides the rest of the way to school
Drag one segment to each box to show the shape of the graph of Habib's distance from home for each interval of time.
Answer:
see
Step-by-step explanation:
Someone please help this is soooooo hard
Step-by-step explanation:
1. 10x-7=5x+3; ⇒ 5x=10; ⇒ x=2. If x=2, then
2. QS=10*2-7=14;
3. SR=5*2+3=13;
4. m(∠PSR)=15*2+42=72°;
5. m(∠PSQ)=180-m∠(PSR)=180-72=108°.
What happens to the value of the expression 20 + a, a as a increases?
Answer:
With the increase of the value of a ,the value of the expression 20+a will also increase.
Step-by-step explanation:
help!! due tommorrow
Answer:
a and d
Step-by-step explanation:
these simplify to .77 for A and .81 for B
the average score of the five tests was 83. The first 4 scores were 91, 78, 86, 72. What was the score of the 5th test. Thank you so much!
Answer:
88
Step-by-step explanation:
5) If 5 times a number is increased by 4, the result is at least 19. Find the least possible
number that satisfies these conditions.
Answer:3
Step-by-step explanation:
5x3=15
15+4=19
i believe X=4, but i could be wrong with the whole thing
Answer:
A. x = 4
B. RQ = 6
C. 48 square units
Step-by-step explanation:
A. 3x - 2 = 10
3x = 12
x = 12/3
B. a^2 + b^2 = c^2
8^2 + b^2 = 10^2
64 + b^2 = 100
b = sqrt (100 - 64
b = 6
C. Area of a triangle = (b*h)/2
b = (2)(6) = 12
Area = (12 * 8)/2 = 48 square units
I need help with this math help please!
Answer: R= 7
Step-by-step explanation:
Answer:
[tex]\huge\boxed{\sf t = 7}[/tex]
Step-by-step explanation:
-8 (4 - t) = 24
-32 + 8t = 24
Add 32 to both sides
8t = 24 + 32
8t = 56
Divide both sides by 8
t = 7
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807I would appreciate it if you can help me with this.
Answer:
[tex]450000 \leqslant 15000 + 4t[/tex]
BRAINLIEST!Blake is the Human Resources manager for a correctional facility. What is one task that Blake might have as part of his job?
A.
confirming appointments for the director of the facility
B.
looking over the costs of new supplies for the facility
C.
mediating a dispute between two employees
D.
organizing the outdoor video surveillance of the facility
Answer:
Organising the outdoor video surveillance
Step-by-step explanation:
See he is a manager.
His work is to take care of all resources of companyVideo surveillance must be used for securityIs 1 1/30 more or less then 1 1/2 gallons
Answer:
less
Step-by-step explanation:
x/5 - 74 = 26
what is x
Step-by-step explanation:
x/5 - 74 = 26
x/5 = 26 + 74
x/5 = 100
x = 100 x 5
x = 500
help please!!!!! I need it
Answer:
it is 7x-4
Step-by-step explanation:
A can contains 48 cups of fruit juice. How many gallons of fruit juice does the can contain?
Answer:
3
Step-by-step explanation:
75% of 32 students are interested in Mathematics. How many are not interested in Mathematics ?
Answer:
The answer is 8!
Step-by-step explanation:
75% is 3/4 of 100 so you take 32÷4 and get 8, hope this helps:)
Alternative method:
Percentage of students who are interested in Mathematics = 75%Then, percentage of students who are not interested in Mathematics = (100 - 75)% = 25%Therefore, number of students who are not interested in Mathematics [tex] = 25\% \: \: of \: \: 32 \\ = \frac{25}{100} \times 32 \\ = \frac{1}{4} \times 32 \\ = 1 \times 8 \\ = 8[/tex]Answer:
8
Hope you could get an idea from here.
Doubt clarification - use comment section.
What should the IUPAC name for a binary covalent compound lack? prefixes Roman numerals an -ide ending the name of a nonmetal.
The IUPAC name for a binary covalent compound lack prefixes such as mono, di, tri tetra etc.
A binary compound is a compound that is composed of only two elements. Many binary compounds could be made up of a metal and a nonmetal or even two nonmetals as the case may be. Examples of binary compounds include; SO2, NaH, K2S etc.
We must note that a binary covalent compound uses Roman numerals to indicate the oxidation state of the central atom in the compound. For instance, SO2 is called Sulfur IV oxide.
Hence, the IUPAC name for a binary covalent compound lack prefixes such as mono, di, tri tetra etc.
Lear more about IUPAC: https://brainly.com/question/11587934
Ben worked 5 hours at x dollars per hour. Julie worked 8 hours
and earned twice as much as Ben per hour. Phil worked 10
hours and earned 4 dollars an hour less than Julie. Choose the
expression that is correctly simplified and best represents
their total wages.
A. 31x - 4
B. 31x – 40
C. 41x - 10
D. 41x -40
If the sales tax in a town is 5% and Amanda pays $10 in tax on her purchase what was the cost of the item?
Answer:
$200
Step-by-step explanation:
If the tax is 5%, then she pays $5 for every $100. If she paid $10 in tax, her purchase was $200.
What is greater 7 or -7
Hello there!
7 is greater than -7, because positive numbers are always greater than negative ones.
a>-a
The > sign means "greater than"
Hope it helps.
~A lonely teen who helps others with a smile
-Grace :-)
Good luck.
find the volume of this prism
Answer:
264 cm³
Step-by-step explanation:
Eugene is purchasing clothing to make different outfits. Each outfit consists of a top, a bottom and a pair of shoes. Eugene found 2 pairs of shoes and 4 bottoms he would like to purchase. What is the minimum number of tops Eugene needs to purchase to make at least 35 different outfits? Express your answer as a whole number.
Answer:
70
Step-by-step explanation:
The product two consecutive odd numbers is 63find the number
Answer:
These results, 7 and 9, have a product of 63, as stated.
Step-by-step explanation:
Represent the first odd number by x and the first consecutive odd number by x + 2. Then the product of these two numbers is x(x + 2) and it equals 63.
Solve for x. Perform the indicated multiplication, obtaining
x^2 + 2x - 63 = 0
Solve this by factoring: (x + 9)(x - 7) = 0
Then x could be either -9 or +7. If we let x = 7 then the first consecutive odd number is 7 + 2, or 9. These results, 7 and 9, have a product of 63, as stated.
Sheri is making 4 pounds of mixed nuts. She will use One-third the amount of macadamia nuts as she does almonds. A graph titled Sheri's Mixed Nut Recipe has pounds of macadamia nuts on the x-axis, and pounds of almonds on the y-axis. 2 lines intersect at (1, 3). How many pounds of each nut will she use? 1 pound of macadamia nuts; 3 pounds of almonds 3 pounds of macadamia nuts; 1 pound of almonds 4 pounds of macadamia nuts; no almonds 4 pounds of almonds; no macadamia nuts.
1 pound of macadamia nuts; 3 pounds of almonds of each nut will she use.
Given that,
Sheri is making 4 pounds of mixed nuts.
She will use One-third the number of macadamia nuts as she does almonds.
A graph titled Sheri's mixed nut recipe has pounds of macadamia nuts on the x-axis, and pounds of almonds on the y-axis. 2 lines intersect at (1, 3).
We have to find,
How many pounds of each nut will she use?
According to the question,
Total mixed nuts are 4 pounds,
She will use One-third the number of macadamia nuts as she does almonds.
2 lines intersect at (1, 3).
Therefore,
Sheri's mixed nut recipe has pounds of macadamia nuts on the x-axis,
At x-axis, the point 1 lies.
So, macadamia nuts have 1 pound.
And pounds of almonds on the y-axis,
At y-axis, the point 3 lies.
So, almond nuts have 3 pounds.
Hence, 1 pound of macadamia nuts; 3 pounds of almonds of each nut will she use.
For more details about Graphs refer to the link given below.
https://brainly.com/question/9351049
Answer:
A/ the first one
Step-by-step explanation:
Did the edg
PLEAZEEE HELP ME PLS WILL GIVE BRAINLIEST
Answer:
2q+7r+8
Step-by-step explanation:
(q+3)+(q+2)+(7r+3)
Brainliest is very apprieciated!
How do you know 72/80 is greater than 7/8? Explain
Answer:
Step-by-step explanation: I know that 72/80 is greater than 7/8 because when we make 7/8 as the same denominator as of 72/80 it is only 70/80 which is smaller than 72/80.
is the equation in the picture true or false?
Answer:
false
Step-by-step explanation:
I hope this helps!!
please pick the right anwers no bots please
Answer:
1. 2/3
2. 0
3. 7/2
4. -2
5. -2
6. 1
7. -4/3
8. Undefined
9. 8
10. 9/5