Answer:
a) The probability that a single randomly selected value is greater than 27.6
P( X≥27.6) = 0.8051
b) The probability that a sample of size randomly selected value is greater mean greater than 27.6
P( X≥27.6) = 0.9998
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 30 weeks
The Standard deviation of the Population = 2.8 weeks
Let 'X' be a Normal distribution
[tex]Z = \frac{x-mean}{S.D} = \frac{27.6-30}{2.8} = -0.857[/tex]
The probability that a single randomly selected value is greater than 27.6
P( X≥27.6) = P(Z≥-0.857)
= 0.5 + A(-0.857)
= 0.5 + A(0.857)
= 0.5 + 0.3051
= 0.8051
Step(ii):-
Let 'X' be a Normal distribution
[tex]Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } } = \frac{27.6-30}{\frac{2.8}{\sqrt{80} } } = -7.6677[/tex]
The probability that a sample of size randomly selected value is greater mean greater than 27.6
P( X≥27.6) = P(Z≥-7667)
= 0.5 + A(-7.667)
=0.5 +0.4998
= 0.9998
precalc! 50 points! please someone help me i’ll do anything for you
Step-by-step explanation:
3. We know the x value which is -5 and the y value which is 1. We need to find the hypotenuse which we refer to the r. We use the pythagorean theorem for that
[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]
[tex] { - 5}^{2} + {1}^{2} = r {}^{2} [/tex]
[tex]25 + 1 = r {}^{2} [/tex]
[tex]26 = r {}^{2} [/tex]
[tex]r = \sqrt{26} [/tex]
Now let find the sin, csc, and tan.
To find sin let use the formula
[tex] \frac{y}{r} [/tex]
[tex] \frac{1}{ \sqrt{26} } [/tex]
Rationalize the denominator
[tex] \frac{1}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \frac{ \sqrt{26} }{26} [/tex]
[tex] \sin = \frac{ \sqrt{26} }{26} [/tex]
To find cosecant, it is the reciprocal of sin so it would be
[tex] \csc = \frac{26}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \sqrt{26} [/tex]
To find tan, do
[tex] \frac{y}{x} [/tex]
Which is simply
[tex] \tan= \frac{1}{ - 5} [/tex]
4. Kennedi is correct since in the 2nd quadrant
The x value is negative, and the y value is positive.
Since sin is referred in trig as the y value, sin must be positive.
what is 10cm × 20cm in inches
Answer:
10cm x 20cm = 78.7402 inches
Step-by-step explanation:
10 x 20 is 200
200 cm is 78.7402 inches
Answer:
Step-by-step explanation:
HELP PLEASE!! Aspen Needs Help
Answer: Choice A. f(x) = sqrt(x-1)
===========================================
Explanation:
The parent function is y = sqrt(x) and the left-most edge of this curve is at (0,0).
The graph shows the left-most point at (1,0) instead.
This means we've shifted everything 1 unit to the right, or you can think of the xy axis being shifted 1 unit to the left while the square root curve stays still (giving the illusion the curve moves).
If we shifted the xy axis 1 unit to the left, then each input x becomes one smaller, so each input is now x-1
That's why we go from y = sqrt(x) to y = sqrt(x-1)
You can use a graphing calculator to confirm this, or you can create a table of values to generate the points on this new blue curve.
1. lara but a dress that originally cost 575 with 20% discount how much did lara pay for the dress
2. a salesman sells a car for 860,000 if you receives a commission of 15% how much will be his commission
Answer:
( $ 120 )
Step-by-step explanation:
cause
p they original price given
p - 2p = 96
8 p = 96
p = 120
sana makatulong carry on
A tree casts a shadow 38 m long.
At the same time, the shadow cast by a 37 cm tall
statue is 75 cm long.
Find the height of the tree. Use correct units.
Answer:
Step-by-step explanation:
let the height of tree=h
[tex]\frac{h}{38} =\frac{37}{75} \\h=\frac{37}{75} \times 38 \approx 18.75 ~cm[/tex]
if (a+b)^2=10, if ab=-2 calculate a^2+b^2
Answer:
a^2+b^2=(a+b)²-2ab=10-2×-2=10+4=14(here -×-=+)
Find the unit rate is 120 apples are in 6 baskets. (Follow this example 3 bananas/ 1 bunch)need help with my homework 10 points
Answer:
120/6 = 20 apples unit rate
Step-by-step explanation:
please explain what else the question wants
Multiply the following using the vertical multiplication method:
x² + 5x+1
x3x2 - 2x + 4
What is the sum of the polynomials? (6x+7x+x^2)+(2x^2-3x)
Answer:
3x^2 + 10x
Step-by-step explanation:
The population of a town in 1920 was 3800 people. The town's population decreased linearly, and in 1924 the population was 3640. Find a formula for P , the town's population, in terms of t , the number of years since 1920.
Answer:
Your answer
P = 1.9 t
Mark it as Brainlist answer. Follow me to get more answer
Step-by-step explanation:
how many 1/2 inch cubes does it take to fill a rectangular prism with a length of 1 inch, a width of 2 inches and a height of 3 inches
Answer:
Step-by-step explanation:
Andrea Drew the Number line below. She said that 9/8 and 1 equal. Explain Error
Answer:
Her error was that 1 and 9/8 are not equal. 9/8 is 1/8 larger than 1 is, and therefore can not be equivalent to 1.
On the number line 9/8 and 1 are not equal, since 9/8 =1.125 which is greater than 1.
What is number line?A number line is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally or vertically.
Given that, on the number line Andrea Drew marked 9/8 and 1 and she said that they are equal.
Here, 9/8 =1.125
1.125>1
Therefore, on the number line 9/8 and 1 are not equal, since 9/8 =1.125 which is greater than 1.
Learn more about the number line here:
https://brainly.com/question/13425491.
#SPJ2
Find the percent change from the first value to the second.
40;72 (show how you got your answer for a brainliest)
Answer:
80% increase
Step-by-step explanation:
There are two ways to do this
The first way is to set up a percent proportion
[tex]\frac{72}{x}[/tex] = [tex]\frac{40}{100}[/tex]
To find x, we can do:
x = [tex]\frac{72 * 100}{40}[/tex]
x = [tex]\frac{7200}{40}[/tex]
x = 180
72 is 180% of 40
There is an 80% increase.
The second way to do it (the way I find easier) is to use benchmark fractions:
We look at 40 and 72 and realize that (40 * 2) - 8 = 72
So 200% of 40 - 8 = 72
Then, we find out what percent of 40 is 8.
10% of 40 is 4
so that means 20% of 40 is 8 (10% * 2 = 4 * 2)
Then we do:
80 - 8 = 72
200% - 20% = 180%
72 = 180% of 40
Which is an 80% increase
Let me know if you have any questions
What would the figure below look like after a reflection across the x-axis?
Given m∥n, find the value of x.
Answer:
53°
Step-by-step explanation:
Of the two lines are parallel then x = 53°
TIMED
The model shows the addition expression 18 + 12
One expression that is equivalent to this sum is
3 + 6 + 4
3(6 + 4)
3 + 6(4)
3(6) + 4
Answer:
3(6 + 4)
Step-by-step explanation:
We have a model that is showing a certain expression, while knowing that the expression it's showing is "18 + 12"
To solve, all we have to do is simplify the answers. Do as following :
A. 3 + 6 + 4
This is already incorrect, the answer is split into three numbers and we are only looking for two, even if you try combining the numbers to make 2 terms, you will not get 18 + 12.
B. 3(6 + 4)
This is correct, the answer is a distribution problem that when solving :
(3(6) + 3(4))
18 + 12
Gives you what the question is asking for.
C. 3 + 6(4)
This is incorrect, when you distribute 6 and 4, you get 24. Leaving you with the expression 3 + 24.
D. This is incorrect, when you distribute 3 and 6, you get 18. Leaving you with the expression 18 + 4.
find the sum of 3/4 and 5/7.
Answer:
3/4 or in mixed number 1 13/28
Step-by-step explanation:
3. Solve for x.
(x-2)(x+ 8) = 0
Answer:
x = 2, x = -8
Step-by-step explanation:
Since the equation equals 0, you know either (x-2) or (x+8) has to equal 0.
This means x = 2, and x = -8
Hope this helps!
A vet borrows $12,000 for 4 years. The total interest paid was $875. What was the interest rate on the loan?
Answer:
1
Step-by-step explanation:
Can someone help me? I know I'm doing something wrong but I'm not sure what.
This is an example: A $624 at 5% for 3 years
This is how I solved the problem:
(624)(.05)(3)
= 93.60
Answer:
Step-by-step explanation:
CI = 624 x 1.05 ^3 =722.358 for whole investment 722.36-624 =98.36 for interest only
or for interest only do 624 x .05^3 = 98.36
Standard interest is done like this
year 1 = 624 x 1.05 = 655.20
655.20-624 = 31.20
year 2 = 655.20 + 31.20 = 686.40
year 3 = 686.40 + 31.20 = 717.60
total interest = 717.60-624 = 93.60
So standard interest is the method you have done they may be asking for either compound interest which is the first one or asking for whole investment which means you need to also add 624 at end for Standard interest.
if you need CI interest do the top one.
A 34 foot tall poll is supported by 2 wires that are anchored 8 feet from the base of the pole how many feet or wire is needed for the support wires
Using the Pythagorean theorem:
Length of wire = sqrt(34^2 + 8^2)
Length of wire = sqrt(1156 +64)
Length of wire = sqrt(1220)
Length of wire = 34.9285 feet
There are 2 wires:
34.9285 x 2 = 69.857 feet
Round off as needed.
Answer:
34.93 feet
Step-by-step explanation:
Using a^2+b^2=c^2
we can substitute a and b in which is
34^2+8^2=c^2
1156+64=c^2
1220 = c^2
Now we need to square both sides
√1220 = √c^2
34.9284983931 ----> 34.93
34.93 = c
c = 34.93
1.) how much will $5000 be worth in 5 years if it is compounded continuously at 3% interest.
2.) Becky invest $2500 at an annual interest rate of 9%. How much is the investment worth after 10 years if the interest is compounded continuously.
3.) suppose $2000 is invested at 5.75% annual interest compounded continuously for 21 months. How much will the investment be worth at the end of 21 months.
Will mark as Brainlessly or whatever it’s called (if you take my points I will report) thank you so much:)
Answer:
$5809.17
$6149.01
$2211.72
Step-by-step explanation:
Continous interest formula:
(pv)e^(rt)
we have
5000e^(5*.03)= 5809.17
Same equation from before
2500e^(.09*10)= 6149.01
2000e^(.0575*(21/12))
(we write 21/12 because that's how many years has passed)
= 2211.72
8) Which of the Prime number are
even numbers?
C
a) 0 & 2
b) 1 & 2
c) 2
ОО
d) None
Chloe has 85 floral beads. She uses 4 floral beads to make each bracelet. She makes as many bracelets as possible. How many floral beads will she have left?
Answer:
1 bead left over
Step-by-step explanation:
Hi!
With this it looks like you need to divide and also have a remainder.
So what I like to do is actually round down your total to an even number.
So in this case 85 would round down to the even number of 84.
Now she uses 4 per bracelet so you want to do :
84 / 4
=
21
Alright so now we have to remember we took one bead off to make the number even.
That would be one bead since 85 - 84 = 1
So she made 21 bracelets and had 1 bead left over.
I hope this helps!
If you have any questions or concerns feel free to comment or message me! :)
In a shop, there were 4 times as many guppies as swordtails. After 23 guppies and 27 swordtails were added, there were 83 more guppies than swordtails. What was the total number of fish in the shop at first?
Answer:
145
Step-by-step explanation:
Assume the number of sword tails is x. Then the number of guppies is 4x.
After 23 guppies and 27 swordtails were added. Then guppies = 4x+ 23
swordtails = x+27
According to the relation 83 more guppies than swordtails. We can obtain:
[tex]4x + 23 = x + 27 + 83[/tex]
4x-x= 27+83-23
3x=110-23
3x=87
x=29
There are 5x fish in total at first.
5x=5*29=145
so the number of fish in the shop at first is 145
Directions: Find each product. Show your solution. .
1) 0.35 x 24 =
2) 0.59 x 29 =
3) 2.45 x 5 =
4) 0.84 x 3 =
5) 0.45 ~ 63=
6) 3.54 x 0.59=
7) 5.28 x 1.18 =
8) 4.37 x 0.58 =
9) 7,05 * 0.52 =
10) 2.36 x 1.28=
[tex]0.35 \times 24 = [/tex]
Answer:
.
1) 0.35 x 24 =8.4
2) 0.59 x 29 =17.11
3) 2.45 x 5 =12.25
4) 0.84 x 3 =2.52
5) 0.45 ×63=28.35
6) 3.54 x 0.59=2.0886
7) 5.28 x 1.18 =6.2304
8) 4.37 x 0.58 =2.5346
9) 7.05 * 0.52 =3.666
10) 2.36 x 1.28=3.0208
[tex]0.35 \times 24 = [/tex]=8.4
Answer:
1) 8.4
2) 17.11
3) 12.25
4) 2.52
5) 28.35 (if numbers are multiplied)
6) 2.0886
7) 6.2304
8) 2.5346
9) 3.666
10) 3.0208
Help plsssssssssssssssssssssss
Answer:
Okay, whats your question?
Step-by-step explanation:
help I’ll give brainliest
Answer: The median of the upper half of a set of data is the upper quartile ( UQ ) or Q3 . The upper and lower quartiles can be used to find another measure of variation call the interquartile range . The interquartile range or IQR is the range of the middle half of a set of data.
Step-by-step explanation:
Glven the value of cos 60° -0.5, enter the sine of a complementary angle. Use an
expression relating trigonometric ratios of complementary angles.
cOS 60º= ___ º ≈___
Answer:
-0.12
Step-by-step explanation:
60 divided -0.5= -0.12
What is 9% of 2 trillion
Answer: 180000000000
Step-by-step explanation:
Answer:
180000000000
Step-by-step explanation:
