Answer:
A sample size of 385 should be used.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
What sample size should be used (round the number up)
A sample of n should be used.
n is found when M = 5.
We have that [tex]\sigma = 50[/tex]
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]5 = 1.96\frac{50}{\sqrt{n}}[/tex]
[tex]5\sqrt{n} = 1.96*50[/tex]
Simplifying by 10
[tex]\sqrt{n} = 1.96*10[/tex]
[tex]\sqrt{n} = 19.6[/tex]
[tex](\sqrt{n})^2 = (19.6)^2[/tex]
[tex]n = 384.16[/tex]
Rounding up
A sample size of 385 should be used.
The second group of 20 squirrels of a different breed is placed on a different ranch. The population of squirrels triples each year. Write an equation to model this new situation.
Answer: send group
Step-by-step explanation:
which enequality describes this grpah?
Answer:
x > 4
Step-by-step explanation:
Since it's an open circle, that means it has to be less than (<) or greater than (>)
Since it's going in the right direction, it means greater than (>)
The open circle starts at 4 so,
x > 4
x is greater than 4
Please answer now! Please!
Is this proportional? What is the COP? What is the equation?
Answer:
Step-by-step explanation:
The constant of proportionality is y/x=k. In this case it is 30/5=48/8...6 k=6
The equation is
y=6x where y=number of wheels and x=number of buses
Calculate the SQRT485 Express answer to nearest hundredth.
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 22.02
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Is (4,3) a solution to the following system?
X-y=4
2x+y=5
(1 Point)
Yes
Οr
No
(Worth 10 points)
Answer:
No, it is not a solution
Step-by-step explanation:
Given
[tex]x - y = 4[/tex]
[tex]2x + y = 5[/tex]
Required
Is (4,3) a solution?
(4,3) implies that: [tex]x = 4\ y =3[/tex]
So:
[tex]x - y = 4[/tex]
[tex]4 - 3 = 4[/tex]
[tex]1 \ne 4[/tex]
Because 1 and 4 are not equal, then (4,3) is not a solution
help would be v appreciated thx :)
Answer:
Step-by-step explanation:
Choose all of the expressions that can be used to find the volume of the rectangular prism.
Answer:
C. (6 × 5) × 2 = 60 m³
D. 5 × (6 × 2)
E. (2 × 5) × 6
Step-by-step explanation:
Volume of a rectangular prism can be given as, V = L*W*H
L = 6
W = 5
H = 2
However, whichever way we choose to use as either L, W, or H, we would still get the same value as the volume.
Thus:
✔️V = (6 × 5) × 2 = 60 m³
✔️V = 5 × (6 × 2) = 60 m³
✔️V = (2 × 5) × 6 = 60 m³
These are the three expressions that can be used to find the volume.
Find the absolute minimum and absolute maximum values of f on the given interval. f(t) = 3 (*sqaure root sign*) t (20 − t), [0, 20]
9514 1404 393
Answer:
maximum: 15∛5 ≈ 25.6496392002minimum: 0Step-by-step explanation:
The minimum will be found at the ends of the interval, where f(t) = 0.
The maximum is found in the middle of the interval, where f'(t) = 0.
[tex]f(t)=\sqrt[3]{t}(20-t)\\\\f'(t)=\dfrac{20-t}{3\sqrt[3]{t^2}}-\sqrt[3]{t}=\sqrt[3]{t}\left(\dfrac{4(5-t)}{3t}\right)[/tex]
This derivative is zero when the numerator is zero, at t=5. The function is a maximum at that point. The value there is ...
f(5) = (∛5)(20-5) = 15∛5
The absolute maximum on the interval is 15∛5 at t=5.
Find the slope of the line.
Answer:
1/5
Step-by-step explanation:
Answer:
m= -1/4
Step-by-step explanation:
Points on the line: ( -4, -1) and (0, -2)
Slope:
m=(y2-y1)/(x2-x1)
m=(-2+1)/(0+4)
m=(-1)/4
m= -1/4
this is for all the linemen out there respect the gut (im a RT and DE)
Answer:
oh
Step-by-step explanation:
y
45°
X 100°
y = [ ? 1°
Step-by-step explanation:
x+100°=180°{being straight angle}
x=180-100
x=80°
again,
45°+x+y=180°{sum of angle of triangle}
45+80+y=180
y=180-125°
y=55°
hope it helps.
3. What is 5⅕% of 325?
Answer:
20% × 325 =
(20 ÷ 100) × 325 =
(20 × 325) ÷ 100 =
6,500 ÷ 100 =
65
Helppp please I'm stuck
A tabletop in the shape of a trapizoid has an area 8607 square centimeters. its longer base measures 123 centimeters, and the shorter base is 105 centimeters what is the height?
Answer:
286.94 cm
Step-by-step explanation:
Data:
Area = 8,607
b1 = 105
b2 = 123
Area = 1/2 * (b1 + b2) * h
h = 2 * Area/b1 + b2
h = 2 * 8,607/105 + 123
h = 286.94 cm
I'm not sure if it's right but that's what my calculator gave me.
How many cuboids of size 4m x 3cm X 2cm. Can be made from a cuboid of size 12cm x 9cm x 6 cm ?
Answer:
Lets find volume of smaller cubiod first.
Volume = l x b x h = 24 cm³
Again,
Lets find volume of bigger cuboid.
Volume = l x b x h = 648cm³
Now,
The no. of cuboids that can be made from the bigger cuboid is
= Volume of bigger cuboid / volume of smaller cuboid
= 648/ 24
= 27 cuboids
watching the weather channel, you can see the probability of it raining tomorrow. drag the term to the corresponding probability of it raining tomorrow. drag the term to the corresponding probability of it raining tomorrow.
terms:
• impossible
• likely
• unlikely
• certain
probability:
1. probability of rain < 1/2
2. probability of rain = 0
3. probability of rain = 1
4. probability of rain > 1/2
Answer:
Probability:
1. probability of rain < 1/2 -------- Unlikely
2. probability of rain = 0 -------- Impossible
3. probability of rain = 1 -------- Certain
4. probability of rain > 1/2 --------- Likely
Step-by-step explanation:
Given -
Terms:
• impossible
• likely
• unlikely
• certain
Probability:
1. probability of rain < 1/2
2. probability of rain = 0
3. probability of rain = 1
4. probability of rain > 1/2
To find - Watching the weather channel, you can see the probability of it raining tomorrow. drag the term to the corresponding probability of it raining tomorrow. drag the term to the corresponding probability of it raining tomorrow.
Proof -
Probability:
1. probability of rain < 1/2 -------- Unlikely
2. probability of rain = 0 -------- Impossible
3. probability of rain = 1 -------- Certain
4. probability of rain > 1/2 --------- Likely
Reason -
Probability is the chance that an event will occur. Weather predictions are based on probability.The probability of an event occurring is represented by a ratio.A ratio is a number that is between 0 and 1 and can include 0 and 1.
An event is impossible if it has a probability of 0.Having 13 months in a year has the probability of 0.
An event is certain if it has the probability of 1.The probability that the sun will rise tomorrow morning is 1
For estimation purposes, the shape formed by the sectors is considered to be a parallelogram. Which statement is true?
A.The height is approximately r units, and the base length is approximately mr units.
B.The height is approximately r units, and the base length is approximately 2 units.
C.The height is approximately r2 units, and the base length is approximately it units.
D.The height is approximately 2r units, and the base length is approximately it units.
Answer:
Step-by-step explanation: B
In a class of 100 students 45 students read physics, 52 students read Chemistry and 15 students read both the subject. Find the number of people who student who study neither physics nor chemistry
Answer:
12
Step-by-step explanation:
First,
Add 45+52+15
Then the answer will be 112
Then -(minus) from 100
Answer:
18 students
Step-by-step explanation:
45 - 15 = 30 students only read physics
52 - 15 = 37 students only read chemistry
15 students read both
add all of them:
30 + 37 + 15 = 82
subtract the sum from 100
100 - 82 = 18
18 students doesn't study neither
At the West Street Bakery, 16
1
6
of the dessert case holds pies. There are 4 equal size shelves.
Answer is in the photo. I can only upload it to a file hosting service. link below!
tinyurl.com/wpazsebu
There are 4 oranges, 7 bananas, and 5 apples in a fruit basket.
Ignacio selects a piece of fruit at random and then Terrance
selects a piece of fruit at random.
probability of two bananas
p( two bananas )
What is the mean of these numbers?4,5,5,2,3,3,2,8
Answer:
4
Step-by-step explanation:
Mean is the average of the set of the data in which two or more numbers are present. The mean is used to summarized the data set as the calculation of the mean includes all the values given in the data set. The mean value of the given data set is 4.
Given informationThe given numbers of the data set are,
4,5,5,2,3,3,2,8
Total numbers are 8.
MeanMean is the average of the set of the data in which two or more numbers are present. The mean is used to summarized the data set as the calculation of the mean includes all the values given in the data set.
Mean is the ratio of the sum of all the terms of the set to the the number of terms in the set.
The mean can be calculated with the following formula,
[tex]\overline x=\dfrac{\sum x}{N} [/tex]
Here N is the total number of the values in the set.
Put the values in the above formula,
[tex]\overline x=\dfrac{4+5+5+2+3+3+2+8}{8} \\ \overline x=\dfrac{32}{8}\\ \overline x=4[/tex]
Hence the mean value of the given data set is 4.
Learn more about the mean here;
https://brainly.com/question/12513463
find the area of this polygon - PLZZZZZ HELP I WILL GIVE 30 points T^T
Answer:
82 m should be correct i hope
Step-by-step explanation:
what 2-1+46-2x0
I tried O but it didn't work
Answer:
answer is 47
Step-by-step explanation:
use the rule, 2x0 = 0 then (2- 1) that's 1 and then (46-0) that's 46 so 1 + 46 is 47
Tyler has to savings accounts that his grandparents opened for him . One of the accounts Pay 8% annual interest Where as the other pay 10% annual interest. If you have $700 more invested at 10% then you invested at 8%, how much do you have invested in each account If the total amount of interest You earn in a year is $106?
Tyler invested $___at 8%, and $___at 10%
pls help!!!!!!!!!!!!!!!!
Answer:
f(2) = 75
f(6) = 4091
Step-by-step explanation:
6. Select the figure that can be formed when a cube is cut by a plane parallel to its base.
A. line
B. square
C. trapezoid
D. triangle
7. Select all figures that can be formed when a rectangular pyramid is cut by a plane parallel to its base.
A. point
B. rectangle
C. trapezoid
D. triangle
8. This is a cylinder.
Select all figures that can be formed by a vertical slice perpendicular to the bases of the cylinder.
A. circle
B. line segment
C. rectangle
D. oval
9. A family just removed a big tree from their backyard. The diameter of the circular hole left behind is 7 feet across. Approximately how many square feet of grass will the family need if they want to cover the area where the tree once was?
A. 22 ft²
B. 39 ft²
C. 44 ft²
D. 154 ft²
Answer:
Step-by-step explanation:
6. Cross-section is a square.
:::::
7. Point and rectangle
:::::
8. line segment and rectangle
:::::
area of hole = π3.5² = 12.25π ≅ 39 ft²
Manuel and Kristina are reviewing like terms in the problem 3x + 3 - 4x. Manuel said that 3x and 3 are like terms because they both have threes. Kristina said 3x and -4x are like terms because they both have the same variable. Who is correct? Explain.
Answer:
Kristina
Step-by-step explanation:
Kristina is correct because 3x and -4x both have the variable 'x' in common making them like terms.
What is the solution to the equation below?
0.5x + 20 = 0.6x
A. x = -200
B. x=2
C.x = 20
D.x = 200
Answer:
it's D 200 for sure my answer I correct
What is the average (arithmetic mean) of 2, 8, 9, and 9?
a) 5
b) 7
c8
c) 8
d) 9
Answer:
The answer is 7
Step-by-step explanation:
2+8+9+9÷4=7
The total surface area is _ square inches
