Answer:
0.0556
Step-by-step explanation:
P(Blue,Yellow) = 1/6 x 2/6 = 1/18 = 0.0556
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.19. How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 98% confidence level with an error of at most 0.02
Answer:
A sample of 2084 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In an earlier study, the population proportion was estimated to be 0.19.
This means that [tex]\pi = 0.19[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 98% confidence level with an error of at most 0.02?
This is n for which M = 0.02. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 2.327\sqrt{\frac{0.19*0.81}{n}}[/tex]
[tex]0.02\sqrt{n} = 2.327\sqrt{0.19*0.81}[/tex]
[tex]\sqrt{n} = \frac{2.327\sqrt{0.19*0.81}}{0.02}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.327\sqrt{0.19*0.81}}{0.02})^2[/tex]
[tex]n = 2083.4[/tex]
Rounding up:
A sample of 2084 is needed.
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!
angle c=180-44-62=74 degrees
angle d=angle c=74 degrees
angle f=180-74-50=56 degrees
hope it helps:))
Answer:
C) 74°
D) 74°
F) 56°
Step-by-step explanation:
I assume you’re supposed to find the other three angle measurements.
C) 180-44-62=74
D) 74
F) 180-74-50=56
4+4 for 100 points brainlyist to first answer
Answer:
8
Step-by-step explanation:
plz me
Answer:
4+4=8
Step-by-step explanation:
.................
Mathematical Literacy , What does a basic fee mean?
Answer:
Basic Fee means the compensation provided to Construction Manager for providing Basic Services. ＋ New List. Basic Fee means the compensation provided to Pre-Construction Contractor for providing Basic Services.Step-by-step explanation:
The sales tax for an item was $27.20 and it cost $340 before tax.
What is the sales tax rate?
Write your answer as a percentage.
Answer:
8%
Step-by-step explanation:
27.20/340=0.08
=8%
find the missing side of each triangle
Question 7 of 8
Calculate the amount of interest earned on a $7,500 investment made for 2 years at
5.5% p.a..
Answer:
$825
Step-by-step explanation:
Formula we use:
I = Prt
Given:
P = 7500
r = 5.5% or 0.055
t = 2
Work:
I = Prt
I = 7500(0.055)(2)
I = 412.5(2)
I = 825
F(x) = xlnx/x+1
Find the derivative
Answer:
ln(x)
Step-by-step explanation:
if you need the steps .. it's very long... but the answer is easy
ln(x)
If you walk around a circular path TWICE, and the circle has a diameter of 100 m, how far did you walk in TOTAL?
Answer:
628.32 m
Step-by-step explanation:
C = πd
C = π*(100m)
C = 314.16 m
Total Distance = 2*C
2*C = 628.32 m
Leave a like and brainist if this helped
A crate contains 100,000 sheets of paper.
If the crate has a mass of 357,100 gm, what is the mass of
a single sheet of paper?
Answer:
3.571 g
Step-by-step explanation:
357,100 / 100,000 = 3.571
Answer:
3.571g
Step-by-step explanation:
357100 grams / 100000 sheets of paper = 3.571g per sheet of paper
There are two spinners containing only white and green slices. Spinner A has 4 white slices and 1 green slice. All the slices are the same size. Spinner B has 3 white slices and 9 green slices. All the slices are the same size. Each spinner is spun. List these events from least likely to most likely. Event : Spinner B lands on a green slice. Event : Spinner A lands on a white or green slice. Event : Spinner A lands on a white slice. Event : Spinner B lands on a yellow slice.
Answer:
Step-by-step explanation:
Ok, lets list the important things
only green and white slicesall slices same sizespinner A has 4/5 white slices and 1/5 green slicesspinner B has 3/12 white slices and 9/12 green slicesThe 4 options are:
spinner B lands on a green slicespinner A lands on a white or green slicespinner A lands on a white slicespinner B lands on a yellow sliceWe already know that choice 2 is 100% probable and option 4 is 0% probability, because in option 2, the spinner A ONLY has white or green slices so the spinner must land on the slice. In option 4, no matter which spinner is spun no yellow slices are available to land on.
the chance of option 1 happening is 9/12 which is 3/4 which is 75%
the chance of option 3 of happening 4/5 which is 80%
option 1 has a 75% chance
option 2 has a 100% chance
option 3 has an 80% chance
option 4 has a 0% chance
this means that the order is:
1. option 4
2. option 3
3. option 1
4. option 2
because it is least likely to most likely.
hope this helped you out and if you need any questions feel free to ask
good luck in maths!
-cheesetoasty
please help i will give brainliest.
Answer:
754 ft²Step-by-step explanation:
Given
d = 24 fth = 4 ftRequired amount of vinyl:
πdh + πd²/4 =3.14*24*4 + 3.14*24²/4 = 754 ft² (rounded)Which function shows the function f(x) = 3^x being
translated 5 units to the left?
A. f(x) = 3^x – 5
B. f(x) = 3^(x+5)
C. f(x) = 3^(x - 5)
D. f(x) = 3^x + 5
Answer:
B.
Step-by-step explanation:
When you want to move a function on a graph from left to right, you "move" the x, and when moving the x; it's the opposite. So, C would move the function 5 units to the right because it is subtracting.
The correct option will be f(x) = 3^(x - 5)
What is translation?A translation is a transformation that moves every point in a figure the same distance in the same direction.
Given that, the function f(x) = 3ˣ, being translated 5 units to the left.
Since, the function is being translated in left, therefore, we subtract 5 from x,
i.e. f(x) = 3⁽ˣ⁻⁵⁾
Hence, f(x) = 3⁽ˣ⁻⁵⁾ is the function shows the function f(x) = 3ˣ being
translated 5 units to the left.
For more references on translation, click;
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please help with this problem
Answer:
choice 1) 0, -4/5
Step-by-step explanation:
1/(t² + t) = 1/t - 5
multiply both sides of the equation by (t² + t):
1 = (t² + t)/t - 5t² - 5t
1 = t + 1 - 5t² -5t
-5t² - 4t = 0
t(-5t - 4) = 0
t = 0
-5t = 4
divide both sides by -5:
t = -4/5
What is the first step to solve this equation:
11 - 3x = 44
Add 3 to both sides
Add 11 to both sides
Subtract 11 from both sides
Divide 3 on both sides.
Which problem can be solved with 56 + 7 = 8?
Chloe has 56 pennies. Her brother has 7 times as
many pennies as she has, How many pennies does
her brother have?
Chloe has 56 pennies. She finds 7 more pennies.
How many pennies does she have now?
Chloe has 56 pennies. She puts the pennies into
equal stacks of 7. How many stacks does she make?
Chloe has 56 pennies. She gives away 7 pennies.
How many pennies does she have left?
Answer:
she puts the pennies into equal stacks
Step-by-step explanation:
I think you meant 56 DIVIDED by 7=8, not 56 PLUS 7=8
Answer:
C.Chloe has 56 pennies. She puts the pennies intoequal stacks of 7. How many stacks does she make?
Step-by-step explanation:
true or false: sin 50* = sin 130*
Answer:
True
Step-by-step explanation:
sin(130)
sin(180-50)
By difference rule for sine
sin(180)cos(50)-sin(50)cos(180)
0*cos(50)-sin(50)*-1
0+sin(50)
sin(50)
The answer is true.
Figure A ~ Figure B
Find the volume of Figure A
9514 1404 393
Answer:
1 m³
Step-by-step explanation:
The ratio of volumes is the cube of the ratio of corresponding linear dimensions.
Va/Vb = ((2 m)/(8 m))³ = (1/4)³ = 1/64
Va = Vb(1/64) = (64 cu. m)/(64) = 1 cu. m
The volume of figure A is 1 m³.
What is the sum of 7 of the interior angles of a regular decagon?
Answer:
The answer is 1008 degrees
Step-by-step explanation:
The sum of 7 of the interior angles of a regular decagon is 1008°.
What is interior angle of polygon?It is an angle inside a shape. All the interior angles in a regular polygon are equal.Formula to find the sum of interior angles of a polygon:S = (n - 2) × 180°, where n is the number of sides of the regular polygon.
What is decagon?"It is a polygon having ten sides, ten interior angles and ten vertices."
For given example,
We need to find the sum of 7 of the interior angles of a regular decagon.
Number of sides of decagon (n) = 10
Using the formula of sum of interior angles,
⇒ S = (n - 2) × 180°
⇒ S = (10 - 2) × 180°
⇒ S = 1440°
This means the sum of all interior angles of a regular decagon is 1440°.
We know, there are 10 interior angles of regular decagon.
Let 'x' represents the measure of each interior angle of a regular decagon.
⇒ 10x = 1440°
⇒ x = 1440/10
⇒ x = 144°
This means, the interior angle of a regular decagon measures 144°
So, the sum of 7 of the interior angles would be,
7 × 144° = 1008°
Therefore, the sum of 7 of the interior angles of a regular decagon is 1008°.
Learn more about the interior angles of a regular decagon here:
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Megan got paid $2,156 for babysitting this year. If she makes $11 an hour, how many hours did she babysit this year
Answer:
she worked 196 hours
Step-by-step explanation:
just divide 2156 by 11 :p i hope im right lol.
Answer:
196 hours
Step-by-step explanation:
$2156÷$11=196 hours
i need help now please
Answer:
12
Step-by-step explanation:
A = ½(b1 + b2)h
A = (3 + 5)(3)/2
A = 12
What is the volume of a rectangular
water tank which is 8 metres long, 4
metres wide and 3 metres high.
Answer:
3x-x+2=4
Step-by-step explanation:
A man borrowed $8000. He paid $10100 after 9 months for the debt. What was the interest rate per annum?
Answer:
3.5%
Step-by-step explanation:
Interest = 10100 - 8000 or 2100
I = Prt
2100 = 8000(9/12)r
2100 = 600r
2100/600 = r
3.5 = r
3. Maxine has assets worth $145,000 and liabilities totaling $75,000. What is Maxine's net worth?
A $155,000
B-$15,000
C $70,000
D-$85,000
For each of the following forms determine whether the following limit type is indeterminate, always has a fixed finite value, or never has a fixed finite value.
In the first case answer IND, in the second case enter the numerical value, and in the third case answer DNE.
For example:
IND: 0/0
0: 0/1
DNE: 1/0
Note that Hospital's rule (in some form) may ONLY be applied to indeterminate forms.
1. 1/-[infinity]
2. 0 - [infinity]
3. 0[infinity]
4. [infinity][infinity]
5. 0−[infinity]
6. [infinity]−[infinity]
7. [infinity]−e
8. 1[infinity]
9. π−[infinity]
10. π[infinity]
11. 1 −[infinity]
12. [infinity]1
13. [infinity]−[infinity]
14. 0/[infinity]
15. [infinity]0
16. 00
17. 10
18. 1 - [infinity]
19. [infinity]/0
20. inf - inf
Step-by-step explanation:
1. 1/-[infinity] = 0
2. 0 - [infinity] = -∞
3. 0[infinity] = 0
4. [infinity][infinity] = IND
5. 0−[infinity] = -∞
6. [infinity]−[infinity] = ∞
7. [infinity]−e = ∞
8. 1[infinity] = ∞
9. π−[infinity] = -∞
10. π[infinity] = ∞
11. 1 −[infinity] = -∞
12. [infinity]1 = ∞
13. [infinity]−[infinity] = ∞
14. 0/[infinity] = IND
15. [infinity]0 = 0
16. 00 = 0
17. 10 = 10
18. 1 - [infinity] = -∞
19. [infinity]/0 = DNE
20. inf - inf = ∞
The volume of the polyhedron is ______ yd3.
Answer:
122,850 yd³
Step-by-step explanation:
The polyhedron is a right triangle prism
Area of the right triangle prism = ½*a*c*h
a = 91 yd
c = 60 yd
h = 45 yd
Volume = ½*91*60*45
= 122,850 yd³
a sunglasses store bought $5,000 worth of glasses the store made $9,000 making a profit of $20 per sunglasses there were How many pairs of sunglasses involved?
Answer:
150 pairs
Step-by-step explanation:
so total money spent Is equal to 5000
profit is equal to 3000
profit on each pair is equal to 20
so 3000 divided by 20
which gives 150
so 150 pairs of sunglasses were involved
pls give me brainliest I need it
Answer:
The sunglasses involved are 200
FIRST CORRECT ANSWER GETS BRAINLIEST!!!!!!!! Suppose you were digging at a rate of 10 feet per day. Assume you are ar sea level when you begin digging. If there are 365 days in a year, write an equation to represent the depth of the hole where d= depth in feet and t= time in years
Answer:
simple
Step-by-step explanation:
365 x 10 = 3650 feet
took you 1 year
and adding on sea level 1,312 feet
3650 + 1,312 = 4962 in 1 year
hope im right
HELP PLEASE QUICKLY!!!!!!!!! NO LINKS
Answer:
80mi
Step-by-step explanation:
65+0.70m <121
0.70m< 56
m<80
How many if there are 2 is the of the is?
How are they related?
Is there a number that can become them?
Find the value of are.
Answer: no their is not a number that comes before the value
Step-by-step explanation:
