Answer:
1. 0.2422 = 24.22% probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces
2. 0.1056 = 10.56% probability that a hamburger selected at random with less than 7.52 ounces.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
A sample of 500 hamburgers reveals the average precooked weight to be 8.02 ounces, with a standard deviation of .4 ounce.
This means that [tex]\mu = 8.02, \sigma = 0.4[/tex]
1. What is the probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces?
This is the pvalue of Z when X = 8.02 subtracted by the pvalue of Z when X = 7.76. So
X = 8.02
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{8.02 - 8.02}{0.4}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
X = 7.76
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.76 - 8.02}{0.4}[/tex]
[tex]Z = -0.65[/tex]
[tex]Z = -0.65[/tex] has a pvalue of 0.2578
0.5 - 0.2578 = 0.2422
0.2422 = 24.22% probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces.
2. What is the probability that a hamburger selected at random with less than 7.52 ounces?
This is the pvalue of Z when X = 7.52. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.52 - 8.02}{0.4}[/tex]
[tex]Z = -1.25[/tex]
[tex]Z = -1.25[/tex] has a pvalue of 0.1056
0.1056 = 10.56% probability that a hamburger selected at random with less than 7.52 ounces.
The price of an item has been reduced by 40%. The original price was $35. What is the price of the item now?
Answer:
$21 is the correct answer
Answer:
Step-by-step explanation:
First we have to find 1 percent of 35, and then we will multiply it by 40. So: 35/100 = 0.35
0.35 (40) = 14
35 - 14 = 21
So, the discounted price is now $21.
Naval intelligence reports that 5 enemy vessels in a fleet of 18 are carrying nuclear weapons. If 9 vessels are randomly targeted and destroyed, what is the probability that no more than 1 vessel transporting nuclear weapons was destroyed
Answer:
0.1471 = 14.71% probability that no more than 1 vessel transporting nuclear weapons was destroyed.
Step-by-step explanation:
Vessels are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Naval intelligence reports that 5 enemy vessels in a fleet of 18 are carrying nuclear weapons.
This means, respectively, that [tex]k = 5, N = 18[/tex].
9 vessels are randomly targeted and destroyed
This means that [tex]n = 9[/tex]
What is the probability that no more than 1 vessel transporting nuclear weapons was destroyed?
This is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,18,9,5) = \frac{C_{5,0}*C_{13,9}}{C_{18,9}} = 0.0147[/tex]
[tex]P(X = 1) = h(1,18,9,5) = \frac{C_{5,1}*C_{13,8}}{C_{18,9}} = 0.1324[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0147 + 0.1324 = 0.1471[/tex]
0.1471 = 14.71% probability that no more than 1 vessel transporting nuclear weapons was destroyed.
- >
2X 14
2x 6 x 6 > 14
14 - 6
-2
- 2x o 7 8
X - 4
0 4)
3(244) + 1) 2 (2y 3) 8
Answer:
no te entiendo, puedes escribir la pregunta completa
Michael has $1,000.95 in his checking account. He is going to spend $472.87 on a new television, and he will spend the rest on speakers that cost $48.00 each. Which of the following inequalities would determine the maximum number of speakers, x, Michael can buy without spending more money than he has in his account?
A.
$1,000.95 < $48.00x + $1,000.95
B.
$472.87 + $48.00 + x < $1,000.95
C.
$48.00x + $472.87 < $1,000.95
D.
$1,000.95 + $472.87 > $48.00 + x
Answer:
C bc 48 is the cost of sneakers, x is the number of sneakers, that plus the tv has to be less than 1000.95
WILL MARK BRAINLEST AND WILL GET 5 STARS REVIEW
Tom’s Taxis charges a fixed rate of $4 per ride plus $0.50 per mile. Carla’s Cabs does not charge a fixed rate but charges $1.00 per mile.
a. Write an equation that represents the cost of Tom’s Taxis.
b. Write an equation that represents the cost of Carla’s cabs.
Answer:
a. y= 4 + 0.50x b. y= 1.00x
Step-by-step explanation:
Answer:
a. y = 0.5x +4 b. y = x
Step-by-step explanation:
a. Tom’s Taxis charges a fixed rate of $4 per ride plus $0.50 per mile.
m = $0.50 per mile
b = $4 per ride
y = 0.5x +4
b. Carla’s Cabs does not charge a fixed rate but charges $1.00 per mile.
m = $1 per mile
b = $0 per ride
y = x
2/17
87%
Find the volume of this cube.
5 cm
Type here to search
O
BI
III
A
3
Answer:
Volume of cube = 125 cm³
Step-by-step explanation:
Given:
Side of cube = 5 cm
Find:
Volume of cube
Computation:
Volume of cube = side³
Volume of cube = 5³
Volume of cube = 125 cm³
Which one is not a characteristic of all parallelograms?
Answer:
Consecutive angles are supplementary is not character of parallelograms
5/6 + (-4/9) - (-2), is this right??
Answer:
YES SIR OR I MEANT YES MAM
When it comes to reimbursement packages, company A offers $175 plus
$0.55 per mile. Company B offers $200 plus $0.45 per mile. What number of
miles driven would make the two reimbursement packages equal?
O A. 225
B. 245
O c. 250
O D. 305
20% of what number is 30
Answer:
150
Step-by-step explanation:
20 percent of 150 is 30.
To check the answer... 150 times 0.2 is 30.
Answer:
150
20 percent of what number equals 30; Answer: 150.
Step-by-step explanation:
20% of what is 30?
Written using the formula: X = 30 ÷ 20%
Convert the percent to a decimal.
20% ÷ 100 = 0.2.
X = 30 ÷ 0.2.
X = 150.
So 20% of 150 is 30.
Solve for x (use steps i need to learn this pls)
Answer:
x = 14
Step-by-step explanation:
The figure shows two chords intersecting each other. Based on the Theorem of Intersecting chords, the product the segments of each chord is equal to the product of the other. This means:
24*x = 21*16
24x = 336
Divide both sides by 24
24x/24 = 336/24
x = 14
Which of the lists of letters all have rotational symmetry?
C,H, N, X
N.O.S. Z
H.J.N.S
F.H. X. Z
Answer:
N, O, S, Z, which will be B
Step-by-step explanation:
Find a solution to the linear equation y=-2x – 12 by filling in the boxes with a valid value of x and y.
Answer: y= 4
x = 8
Step-by-step explanation:
1. If you earn $15 an hour and you work 35 hours a week, how much do you earn in 4 weeks?
Answer:
$2100
Step-by-step expla35 x 4 = 140 140 x 15 = 2100
Work out the area of a rectangle with base, b = 20mm and perimeter, P = 60mm.
b
The diagram is not drawn to scale.
base+perimeter
20mm+60mm
=80mm
Hey guys I need help asap
A salesman earns 15% commission on each household appliance he sells. If he sells 6 toasters at $32 each, what is the commission that he earned?
Answer:
$28.8
Step-by-step explanation:
6x32=192
15% of 192 is 28.8
Find x. Please help i’m really struggling
Answer:
35 degrees
Step-by-step explanation:
the 35 degrees in blue and the orange x angle are corresponding angles
What is the center and radius of the circle with the given equation x^2 + y^2 + 14x - 12y +69 = 0
Answer:
Center is (7,-6)
Our radius is 4
Step-by-step explanation:
Subtract 69 to both sides
Complete the square of the x terms and y terms.
[tex] {x}^{2} + 14x[/tex]
[tex] {y}^{2} - 12y[/tex]
(To complete the square divide the coefficient by 2 and square it).
[tex] (\frac{14}{2} ) {}^{2} = 49[/tex]
[tex]( \frac{ - 12}{2} ) {}^{2} = 36[/tex]
Add those terms to the full equation. Add 36 and 49 to the right side as well
[tex] {x}^{2} + 14x + 49 + {y}^{2} - 12y + 36 = 16[/tex]
Simplify the x and y terms into a binomial.
[tex](x + 7) {}^{2} + (y - 6) {}^{2} = 16[/tex]
Set the left side equal to zero separately to find the center and take the square root of the right side to find the radius.
[tex]x + 7 = 0[/tex]
[tex]x = - 7[/tex]
[tex]y - 6 = 0[/tex]
[tex]y = 6[/tex]
[tex]16 = {x}^{2} [/tex]
[tex]4 = x[/tex]
So our center is (-7,6)
Our radius is 4.
The triangle below is a right triangle. What is the length of the missing side? Round your answer to the nearest whole number? A. 8 in.B. 9 in.C. 12 in.D. 80 in.
Answer:
B=9in
Step-by-step explanation:
To find the solution to this problem we will use the Pythagoras theorem.
[tex]c = {a}^{2} + {b}^{2} \\ = \sqrt{ {8}^{2} + {4}^{2} } \\ = 8.944... \\ = 9[/tex]
Answer:
your answer would be 9 in.
Step-by-step explanation:
I hope this makes your day a bit easier!!
determine the following
Answer:
function
Step-by-step explanation:
y = 6x^2 +x+7
This is an upward facing parabola
This relation will pass the vertical line test.
This relation is a function
Line I is parallel to line m. If the
measure of Z6 is 75°, what is the
measure of 24?
1/2
473
B
5/6 = 75
7/8
Enter
Answer:
75
Step-by-step explanation:
alternate interior angles are always equal, so that means 6 = 4 = 75.
Find the 12" term of the arithmetic sequence whose common difference is d=8 and whose first term is a = -2.
Can someone please help me?
Answer:
86.
Step-by-step explanation:
nth term = a1 + d(n - 1) so here we have:
12the term = -2 + 8( 12 - 1)
= -2 + 88
= 86.
Please help!! PLEASE!!!
Answer:
30%
Step-by-step explanation:
subtract the post-discount price from the pre-discount price
64.99 - 45.49 = 19.50
divide the answer by the original price
[tex]\frac{19.50}{64.99}[/tex] = 0.30
multiply the answer by 100
0.30 x 100 = 30%
to check:
take the original number and multiply it by the decimal form of the percentgae:
64.99 x 30% (0.30) = 19.50
take the answer and subtract it from the orginal answer
64.99 - 19.50 = 45.49
can you share 1 one with 6 groups
Answer:
it all comes down to what it is! if it's like big bag, and how big the groups are, then you would have to estimate! if it's like a single pack on candy then no
PLEASEEEEEEEEEEEEEEEEEEEEE HELP MEEEEEEEEEEEEEEEEEEEEEEEEEE
*
Question 2
If a calculator is sold for $15.95, then the revenue in dollars, R, generated by this item
is given by the formula R=15.959, where a represents the number of calculators sold.
Use the formula to determine the revenue generated by this item if 40 calculators are
sold.
Answer:
Answer is in the photo so you have so look in this give wribsite
a grocery store receives a shipment of 700 oranges the manager randomly selects 25 oranges to weigh. in that sample 2 oranges weigh 5 ounces. How many oranges in the shipment can the manager predict weigh 5 ounces
The number of oranges in the shipment can the manager predict weighing 5 ounces would be; 56.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inversely proportional, can be built to find the desired measures in the problem.
Given that a grocery store receives a shipment of 700 oranges the manager randomly selects 25 oranges to weigh in that sample 2 oranges weigh 5 ounces.
Now set up a proportion;
2/25 = (x)700
Cross multiplication;
700(2)= 25(x)
1400/25=x
x=56
Therefore, the number of oranges in the shipment can the manager predicts weighing 5 ounces would be; 56.
More can be learned about proportions at;
brainly.com/question/24372153
#SPJ2
Given that the measure of ∠x is 90°, and the measure of ∠y is 64°, find the measure of ∠z.
Answer:
26°Step-by-step explanation:
Assuming that your figure is a triangle, we should keep in mind that all the interior angles of a triangle add up to 180°, always.
So, we have the values of angles x and y as 90° and 64°.
90 + 64 = 154° ⇒ Add them up.
Now, subtract 154 from 180 to get ∠z.
180 - 154 = 26°
Select the correct answer from each drop-down menu.
If the radius of a circle is 3.5 Inches, Its diameter is
Inches and its approximate area is
square Inches.
Answer:
Diameter = 7 inches
Area = 38.48 in²
Step-by-step explanation:
Diameter = 3.5 x 2 = 7 inches
Area = 3.5² x π = 38.48 in²
2(3x - 32y) + 3(-2x - 4y)