Answer:
The answer to this is 4 and 9 over 16.
Step-by-step explanation:
The expression is 3 + (2 + 8)^2 ÷ 4 × 1 over 2 to the power of 4 . it can be represented mathematically as
3 + (2 + 8)^2 ÷ 4 × (1/2)^4
using PEMDAS
parenthesis come first
3 + 10^2 ÷ 4 × (1/2)^4
exponential comes next
3 + 100 ÷ 4 × 1/16
3 + 25 × 1/16
3 + 25/16
(48 + 25)/16
73/16
4 9/16
A factory received a shipment of 11 hammers, and the vendor who sold the items knows there are 2 hammers in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the hammers in the sample are defective, he will refuse the shipment. Give answer as a decimal to three decimal places
Question:
If a sample of 2 hammer is selected
(a) find the probability that all in the sample are defective.
(b) find the probability that none in the sample are defective.
Answer:
a [tex]Pr = \frac{2}{110}[/tex]
b [tex]Pr = \frac{72}{110}[/tex]
Step-by-step explanation:
Given
[tex]n = 11[/tex] --- hammers
[tex]r = 2[/tex] --- selection
This will be treated as selection without replacement. So, 1 will be subtracted from subsequent probabilities
Solving (a): Probability that both selection are defective.
For two selections, the probability that all are defective is:
[tex]Pr = P(D) * P(D)[/tex]
[tex]Pr = \frac{2}{11} * \frac{2-1}{11-1}[/tex]
[tex]Pr = \frac{2}{11} * \frac{1}{10}[/tex]
[tex]Pr = \frac{2}{110}[/tex]
Solving (b): Probability that none are defective.
The probability that a selection is not defective is:
[tex]P(D') = \frac{9}{11}[/tex]
For two selections, the probability that all are not defective is:
[tex]Pr = P(D') * P(D')[/tex]
[tex]Pr = \frac{9}{11} * \frac{9-1}{11-1}[/tex]
[tex]Pr = \frac{9}{11} * \frac{8}{10}[/tex]
[tex]Pr = \frac{72}{110}[/tex]
If the lengths of two sides of a triangle are 3 and 12, which could be the length of the third side?
16
14
8
6
Answer: 1st is if it’s 2 legs second is if it’s a leg and hypotenuse
Step-by-step explanation:
Drag the similar figure into the table.
Find an equation for the inverse for each of the following.
Answer:
To solve these first swap x and y, solve for y and name it inverse function3. y = -8x + 2
x = -8y + 28y = -x + 2y = -x/8 + 2/8y = -(18)x + 1/4f⁻¹(x) = -(18)x + 1/4
-----------------------------------------
4. y = (2/3)x - 5
x = (2/3)y - 5(2/3)y = x + 5y = (3/2)x + (3/2)5y = 1.5x + 7.5f⁻¹(x) = 1.5x + 7.5
-----------------------------------------
5. f(x) = 2x² - 6
x = 2y² - 62y² = x + 6y² = 1/2x + 3y = [tex]\sqrt{1/2x + 3}[/tex]f⁻¹(x) = [tex]\sqrt{1/2x + 3}[/tex]
-----------------------------------------
6. y = (x - 3)²
x = (y - 3)²[tex]\sqrt{x}[/tex] = y - 3y = 3 + [tex]\sqrt{x}[/tex]f⁻¹(x) = 3 + [tex]\sqrt{x}[/tex]
You must cover a wall 72 3/8 inches wide with wood panels. If each panel is 5 5/8 inches wide, about how many panels will you need?
Answer:
12 13/15
Step-by-step explanation:
[tex]72\frac{3}{8}[/tex] ÷ [tex]5\frac{5}{8}[/tex]
579 / 8 ÷ 45/8
579/8 x 8/45 = 12 39/45
expressing in its simplest form = 12 13/15
Inscribed Angles B
Find each measure.
K
X=
6x
M
L
Answer:
x = 15
z = 25
Step-by-step explanation:
In [tex] \odot\: O, \: \angle MLK [/tex] is inscribed in a semicircle.
[tex] \therefore m\angle MLK =90\degree [/tex]
[tex] \therefore 6x\degree =90\degree [/tex]
[tex] \therefore 6x =90[/tex]
[tex] \therefore x =\frac{90}{6}[/tex]
[tex] \therefore x =15[/tex]
In [tex] \odot\: A, \: \angle PRQ[/tex] is inscribed in a semicircle.
[tex] \therefore m\angle PRQ =90\degree [/tex]
[tex] \therefore (4z-10)\degree =90\degree [/tex]
[tex] \therefore 4z-10 =90[/tex]
[tex] \therefore 4z =100[/tex]
[tex] \therefore z =\frac{100}{4}[/tex]
[tex] \therefore z =25[/tex]
Find the volume of the cylinder. Find the volume of a cylinder with the same radius and double the height.
The radius is 8 and the height is 3
Answer:
Rounded to the nearest hundredth, the volume of the cylinder is 603.19.
Step-by-step explanation:
There really isn't an explanation to this, so my apologies if you need one.
I hope I helped you, and a "Brainliest" is always appreciated! ☺
9514 1404 393
Answer:
192π ≈ 603.19 cubic units384π ≈ 1206.37 cubic unitsStep-by-step explanation:
The volume of a cylinder is given by the formula ...
V = πr²h
For the given radius and height, the volume is ...
V = π(8)²(3) = 192π ≈ 603.19 . . . . cubic units
When the height is doubled, the volume is doubled:
V = π(8)²(6) = 384π ≈ 1206.37 . . . . cubic units
Which statement describes the phospholipid bilayer that makes up a cell membrane?
A) The hydrophobic heads point into and out of the cell, while the hydrophilic tails form a layer between the heads.
B)The hydrophobic tails point into and out of the cell, while the hydrophilic heads form a layer between the tails.
C)The hydrophilic heads point into and out of the cell, while the hydrophobic tails form a layer between the heads.
D)The hydrophilic tails point into and out of the cell, while the hydrophobic heads form a layer between the tails.
Fast plz.
Answer:
Option D
Step-by-step explanation:
The phospholipid bilayer that makes up a cell membrane comprises of two essential parts a) Water loving part or the hydrophilic part which points outwards towards cytoplasm and b) Water hating part of hydrophobic part which point towards the interior of the membrane, and is sandwiched between two layers of hydrophilic heads
Hence, option D is correct
Answer:
d
Step-by-step explanation:
edge 2021
A garden is in the shape of a rectangle. What is the perimeter of the garden? PLS HELP
Answer:
it is 7+7+3+3=20
Step-by-step explanation:
The Tunnel of Fear ride climbs straight up to its peak 505050 meters above the ground. Then, it drops 656565 meters into an underground tunnel.
What is the elevation of the tunnel relative to the ground?
Answer:
-15 meters.
Step-by-step explanation:
i did it on khan
There are 4 points that form a rectangle. Three of the points are: (-5 -1) (-5 3) (2<3 What are the coordinates of the fourth point?
Answer:
[tex]C = (2,-1)[/tex]
Step-by-step explanation:
Given
[tex]A = (-5,-1)[/tex]
[tex]B = (-5,3)[/tex]
[tex]D = (2,3)[/tex]
Required
The coordinate of the fourth point (C)
The given coordinates indicate the rectangle is vertical/horizontal because it has similar x and y values.
The coordinate of such rectangle can be represented as:
[tex]A = (x_1,y_1)[/tex]
[tex]B = (x_1,y_2)[/tex]
[tex]C = (x_2,y_1)[/tex]
[tex]D = (x_2,y_2)[/tex]
By comparing the general coordinates with the given coordinates, we have:
[tex]x_1 = -5[/tex] --- see A and B
[tex]y_1 = -1[/tex] --- see A and C
[tex]x_2 = 2[/tex] ---- see C and D
[tex]y_2 = 3[/tex] --- see B and D
So, we have:
[tex]C = (x_2,y_1)[/tex]
[tex]C = (2,-1)[/tex]
Ryan needs 20 feet of cable. The longest piece on her truck is 18 3/8 feet. How many feet too short is the cable on the truck? *
Answer:
1 5/8 too short
Step-by-step explanation:
The cable on the truck is 18 and 3/8 ... to complete the fraction into a whole number we would need 5 more parts in order to complete the entire 8 parts of the fraction. This would make the cable a whole 19 feet. Since Ryan needs 20 ft, this would leave us needing 1 more foot. Therefore, the cable in the truck is
1 5/8 too short
Mark invests his college fund
into an account earning 6%
simple interest. After 9 years,
Mark's college fund is has
earned $2,268. How much did
Mark initially invest?
A. 4,200
B. 3,800
HELP!!
Pamela is 14 years younger than Jiri. The sum of their age is 70. What is Jiri’s age?
Answer:
56 ...
Step-by-step explanation:
70-14 = 56
Since it’s the sum of their age it’s just jiri’s age plus Pamela’s so you just subtract Pamela’s age from the total sum. And that would make jiri 56. (Sum means the total from adding) So if you do the problem over again. “The sum of 56 and 14” it would take you back to the question you have now. This is inverse addition.
Answer:42
Step-by-step explanation: you split 70 in half, 35 and 35. Then you add 7 to one (Jiri) and subtract 7 from one(Pamela). You get 42 and 28. To check you do 42-28=14 and 42+28=70.
1. Serena walked 12 miles in 5 hours. Which expression can be used to find the distance
she walked in 1 hour if she walked at a constant rate?
Answer:
yes
Step-by-step explanation:
Which Angle measurements create a Triangle?
A 60,60,61
B 100,50,50
C 90,45,45
D 90,90,80
Question 7 (5 points)
Joelle sold candles in her store. This chart shows the number of candles she sold in
one week during store hours.
Day Number of Candles
Wednesday 4
Thursday 12
Friday 4
Saturday 6
Sunday 9
What is the median number of candles Joelle sold in one week?
Answer: 6
That chart is confusing ash, but median just refers to the middle value. Just put them in order (4,4,6,9,12) and then find the middle. In this case it's easy as there are an odd number of values. But if you have another question where there are an odd number, for example (4,4,6,10,12,15) find the two middle numbers, 4 and 9, add them (6+10=16) and then divide by 2 to find the number in between those two. (16/2=8)
Hope this helps!
Which of the following is not a characteristic of the t test? Choose the correct answer below. A. The Student t distribution has the same general bell shape as the standard normal distribution. B. The Student t distribution has a mean of t=0 and a standard deviation of s=1. C. The t test is robust against a departure from normality. D. The Student t distribution is different for different sample sizes.
Answer:
B. The student distribution has a mean of t=0 and a standard deviation of s=1
The Student t distribution has a mean of t = 0 and a standard deviation of s=1.
Here, we have to find which is not a characteristic of the t test.
What is t test?
A t - test is a statistical test that is used to compare the means of two groups.
Now,
Here all given option is the characteristics of t - test and only the option B is not fulfill the condition of t- test.
Hence, Option B is true.
Learn more about the t- test visit:
https://brainly.in/question/4174238
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What statement is true about this triangle
Answer:
y^2+z^2=x^2 is true statement
-5.225 as a mixed number.
Answer:
-5 9/40
Step-by-step explanation:
The experimental probability that Diana will win a game is 3/8. If she plays the game 80 times, approximately how many times should she expect to win?
Answer:
She should win approximately 30 times.
Step-by-step explanation:
Since the probability of winning is 3/8, we multiply 3/8 with 80 to get 30.
13. What is the measure of ZQPU?
T
P
70°
S
R
insert 7 arithmetic means between 4 and 8
Answer:
mafi mallum
Step-by-step explanation:
The 7 arithmetic means between 4 and 8 are
9/2, 5, 11/2, 6, 13/2, 7, and 15/2.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8, 10 is an arithmetic sequence.
We have,
First term = 4
This means,
a = 4
9th term = 8
This means,
a + (9 - 1)d = 8
4 + 8d = 8
8d = 8 - 4
8d = 4
d = 4/8
d = 1/2
Now,
2nd term = 4 + (2 - 1)1/2 = 4 + 1/2 = 9/2
3rd term = 4 + 2 x 1/2 = 4 + 1 = 5
4th term = 4 + 3 x 1/2 = 11/2
5th term = 4 + 4 x 1/2 = 4 + 2 = 6
6th term = 4 + 5 x 1/2 = 13/2
7th term = 4 + 6 x 1/2 = 4 + 3 = 7
8th term = 4 + 7 x 1/2 = 15/2
Thus,
The arithmetic sequence is 4, 9/2, 5, 11/2, 6, 13/2, 7, 15/2, 8.
Learn more about arithmetic sequence here:
https://brainly.com/question/10396151
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(04.04) Point R on the coordinate grid below shows the location of a car in a parking lot. A second car needs to park 7 units above R to leave room for a utility truck. What are the coordinates of the location of the second car?
Answer:
(2,3)
4th option
7 units up from point R
Answer:
2.3
Step-by-step explanation:
A χ2 goodness-of-fit test was used to test the hypothesis that students at a local university select majors in the same proportions as other universities in the state. A chi-square test statistic of χ2=45.6 was calculated with a corresponding p-value of 0.005. Which of the following is correct?
There is sufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.
There is sufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.
A
There is sufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.
There is sufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.
B
There is insufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.
There is insufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.
C
There is insufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.
There is insufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.
D
Students at the local university select majors in the same proportions as do students in the rest of the state.
Answer: A. There is sufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.
Step-by-step explanation:
Find the surface area of a cube with side base length 10m.
Answer:
600 m²
Step-by-step explanation:
because the formula for surface area of a cube is 6a² in which a is the side length. so 10² is 100 multiplied by 6 which is 600
What is the probability of randomly choosing a white marble from a bag of
12 red, 12 white, 12 blue and 12 green marbles?
1/2
1/3
O 1/4
1/8
Answer:
1/4
Step-by-step explanation:
if there are 12 white marbles
and there are 48 in total
you have a probability of picking one 12/48
if you simplify this, you get 1/4!
viola!
hope this helped!
Answer:
1/4
Step-by-step explanation:
if there are 12 white marbles
and there are 48 in total
you have a probability of picking one 12/48
if you simplify this, you get 1/4!
hope this helped!
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
JIG and JIL
Step-by-step explanation:
Adjacent angles share a side
I hope this helps :)
Answer:
JIG and JIL
Step-by-step explanation:
cuz adjecent angles add up to 180 degrees.
Hope this helps :)
Need help on iready you get 13 points :)
Answer:
4 x 10
Step-by-step explanation:
4 x 2 x 5
4 x 2 = 8
8 x 5 = 40
4 x 10 = 40
. A farm stand displays 3 baskets with 12 peaches in each basket and 2 baskets with 15 plums in each basket. A customer buys 8 pieces of fruit. Which equation shows how to find the number of peaches and plums, p, in the basket? *
1 point
3 + 12 x 2 + 15 - 8 = p
12 -3 + 15 - 2 x 8 = p
3 x 12 + 2 x 15 + 8 = p
3 x 12 + 2 x 15 - 8 = p
PLZZ HELP ME SOMONE NO FILES TO I NEED IT BY TODAY THIS WILL REALLY HELP ME!!!!!!!!!!
Step-by-step explanation:
the last one is the answer