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.
What is the area of this?
I need step by step
Answer:
Driveway Area = 218 square feetGarden Area = 230 square feetTotal Area = 448 square feetSee diagram below.
====================================================
Explanation:
Start at the lower left corner of the entire figure. Move 20 ft directly to the right until reach the end of the driveway at the bottom. Now move 10 ft up so you reach the other side of the driveway (the 26 ft side). In the process of moving 10 ft up, mark a new line segment. I've done so in red in the diagram below.
I've also drawn a green box. The red line and green box form a shape of a flag on a flagpole. The pole being 10 ft tall and the green box (flag) is a 6 by 3 rectangle. The 6 is from 26-20 = 6 and the 3 is from 10-7 = 3. Note how I'm subtracting the opposite side values to help figure out the dimensions of this green box.
The 10 ft by 20 ft portion of the driveway is 10*20 = 200 square feet. The green box adds on another 18 sq ft because 6*3 = 18. In all, we have 200+18 = 218 square feet for the driveway.
-------------------
If you want to know the area of the garden, then we first compute the overall area of everything shown. That's 32*14 = 448 square feet. Subtract off the driveway's area to get 448-218 = 230. Therefore, the garden's area is 230 square feet.
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°
Find the midpoint of BD.
B (0, a)
C
AL
D (a,0)
Enter the value that [?]
belongs in the green box.
2)
Midpoint Formula: M = (4x4)
A soccer goal should be centered in a penalty area. The penalty area is 17 yards wide. The goal is 7 yards wide. How many yards (x) should be on each side of the goal?
Answer:
17/7=2.42(approximately) should be on each side of the goal
Find the distance and midpoint between (3,6) and (5,11)
Answer:
((3+5)/2,(6+11)/2)=(4,8.5)
I need help ASAP
FIND THE VALUE OF M
Answer:
80
Step-by-step explanation:
80+20=100
what does the 50th term of this arithmetic sequence: 29,32,35,38
Answer:
176
Step-by-step explanation:
First term (a) = 29
Common difference (d) = 32 - 29 = 3
For calculating the 50th term , n = 50
Now
[tex]t_{50} = a + ( n - 1) d\\t_{50} = 29 + ( 50 - 1 ) *3\\ t_{50} = 29 + 147\\t_{50} = 176[/tex]
hope it will help :)
Find the value for x.
A. 76°
B. 285°
C. 256°
D. 105°
5g + 7g and g(5 + 7) when g=6
Answer:
Value of equation = 144
Step-by-step explanation:
Given:
5g + 7g + g(5 + 7)
when g = 6
Find:
Value of equation
Computation:
5g + 7g + g(5 + 7)
5g + 7g + g(12)
5(6) + 7(6) + (6)(12)
30 + 42 + 72
Value of equation = 144
tttgggggggggggggggggggghfggf
Find the errors and correct the following mathematical sentences.
Answer:
This is your answer
13. Which comparison is correct?
A. 0.298 < 0.289
B. 0.420 > 0.42
C. 1.32 < 1.319
D. 3.544 > 3.455
Answer:
the answer is d
Step-by-step explanation:
I'm smurt
What is the equation for the lien of symmetry in the figure
Answer:
JUst find the middle and fold it in half
ain't no equations needed.
Standard form is y = ax^2 + bx + c, where a, b, and c equal all real numbers. You can use the formula x = -b / 2a to find the line of symmetry.
If Siny = x Sin (a+y). Prove that
dy/dx=[Sin²(a+y)]/Sina
Answer:
Use Trigonometric formulae to simplify expressions
Step-by-step explanation:
Re-order to group the x and y,
Sin(y) / Sin(a+y) = x
to differentiate apply d/dx to both sides
[tex]\frac{d}{dx}[/tex]Sin(y) / Sin(a+y) = [tex]\frac{d}{dx}[/tex]x
use division rule on left side which will give
[tex]\frac{dy}{dx}[/tex]Cos(y)Sin(a+y) - [tex]\frac{dy}{dx}[/tex]Cos(a+y)Sin(y) / Sin²(a+y) = 1
Group them so dy/dx is on the left hand side:
[tex]\frac{dy}{dx}[/tex] = Sin²(a+y) / Cos(y)Sin(a+y) - Cos(a+y)Sin(y)
Apply trigonometric sum formula to expand Sin(a+y) and Cos(a+y),
[tex]\frac{dy}{dx}[/tex] = Sin²(a+y) / Cos(y)[Sin(a)Cos(y) + Cos(a)Sin(y)] - Sin(y)[Cos(a)Cos(y) - Sin(a)Sin(y)]
Simplify it
[tex]\frac{dy}{dx}[/tex] = Sin²(a+y) / (Cos²(y) + Sin²(y))(Sin(a))
[tex]\frac{dy}{dx}[/tex] = Sin²(a+y) / (1)(Sin(a))
The UAE Special Forces usually accepts about 12% of applicants. This year 2.330 soldiers
applied. About how many will be accepted? *ROUND to nearest whole number
Answer me please!
Answer:
280 soldiers
Step-by-step explanation:
Given data
Acceptance rate= 12%
Number of applicants= 2,330 soldiers
Let us find 12% of 2330
= 12/100*2330
= 0.12*2330
=279.6
Therefore, approximately 280 soldiers will be accepted
There are 35 birds in a tree. Then 17 flew away. How many birds are tin the tree now. Regroup a ten.
What is the surface area of the triangular prism (Look at image)
Answer:
[tex]\Large \boxed{\sf 384 \ m^2}[/tex]
Step-by-step explanation:
Surface area ⇒ area of 2 triangles + area of 3 rectangles
[tex](8 \times 3 \times 0.5 \times 2)+(20 \times 5 \times 2+20 \times 8)=384[/tex]
For a prism we take into account the following:
[tex]\boxed{\bold{Lateral\ area = (Perimeter \ of \ the \ base) (height)}}[/tex][tex]\boxed{\bold{Total\ area = Lateral\ area + 2 (base\ area)}}[/tex]Taking into account the above, we first find the lateral area:
In the triangular base, the height divided into 2 small right triangles of Hypotenuse = 5 and Height = 3. By Pythagoras we have this:
3² + base² = 5²9 + base² = 25
base² = 25 - 9
base² = 16
base = 4
From this we obtain that the bases of the small right triangles measure 4 therefore the triangular base is isosceles where we have:
Equal sides = 5 Uneven side = 8The perimeter of the triangular base will be the sum of the sides, that is:
Perimeter = 5 + 5 + 8
⇒ Perimeter = 18
Since the perimeter of the base of the prism is 18 and the height is 20, we replace in the equation for the lateral area:
Side area = (18) (20)
⇒ Lateral Area = 360 m²
Now we find the area of the triangular base with base = 8 and height = 3:
[tex]\bold{Area=\dfrac{(base) (height)}{2} }\\\\\\Area=\dfrac{(8)(3)}{2} \\\\\\Area=\dfrac{24}{2}\\\\\\\boxed{\bold{Area=12}}[/tex]
Since we have that the lateral area is 360m² and the area of the triangular base is 12m², we replace in the equation of the total area:
Total area = 360 + 2 (12)
Total area = 360 + 24
Total area = 384 m²
The total area of the prism will measure 384m²
I hope I have helped you, greetings from Venezuela!
Which expression is equivalent to (8 - 35)? 81.31 87.37 O 8.37 081.37
Answer:
the second option is the right one
Step-by-step explanation:
you have to multiply the powers for 3^5
Answer:
Option B will be your answer
Step-by-step explanation:
hope it helps you
have a great day!!
Please help me I will choose the Brainliest if it's correct tenkchuu
Find the missing exponent.
10.
= 1,000
Submit
Answer:
I think 990 because if u subtract 1,000-10 it is 990 so its equal
(10 POINTS) answer ASAP if you can
Which of the following is the MOST reasonable equation for the line of best fit?
Answer:
either c or b that's what I think
The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume 360 days in a year. P=$11,500.00 R=10% T=60 days
Answer:
Step-by-step explanation:
Simple interest is
I=Prt
I=11500(0.10)(60/360)
I=$191.67
HELP PLEASE THANK U
GETS BRAINLIEST AND 100 POINTS!!!!!
FIND THE INTERVAL OF THE CONVERGENCE
Answer:
Look at explanation
Step-by-step explanation:
Ok,
I got...
radius of convergence = 1
interval of convergence = 3 ≤ x ≤ 5
PLEASE HELP MEEEEEEEEEEE
(2 questions)
(USA Test Prep and Quizzez)
Answer:
1. -25
2. 2.1
Step-by-step explanation:
-1/2(x + 5) = 10
divide both sides by 2.
-1(x + 5) = 20
-(x + 5) = 20
-x = 20 + 5
x = -25
k/3.5 + 7.4 = 8
2k/7 +37/5 = 8
10k = 280 - 259
10k = 21
k = 21/10 (2.1)
Answer:
1.x=15
2.k=2.1
Step-by-step explanation:
1.-1/2(x+5)=-10
-x+5/2=-10 multiply both sides by 2
-x-5=-10
-x=-20+5
-x=-15 multiply both sides by -1
x=15
2.k/3.5+7.4=8
k/3.5=8-7.4
k/3.5=0.6
multiply both sides by 3.5
k=2.1
What is the rule for the translation graphed below?
Answer:
(x,y) ==> (x+2, y-1)
Step-by-step explanation:
3). What is the area of a rectangular window measuring 36 inches across 25 points
and 60 inches tall? *
To find the area of a rectangle, just multiply the dimensions.
36
x60
00
360
1800
2160
The area of the rectangle is 2,160 in sq
---
hope it helps
Zaid spent AED 61.50 for 15 LITERS of premium PETROL. What was the price per LITER?
Answer:
4.1
Step-by-step explanation:
61.50/15 = 4.1
per liter= AED 4.1
Factorise the following expressions.
Answer:
Q.1 a²+10a+24
splitting the middle.
a²+6a+4a+24
=a(a+6)+4(a+6)
(a+6)(a+4)
Q.2 x²+9x+18
splitting the middle
x²+6x+3x+18
x(x+6)+3(x+6)
(x+6)(x+3)