Answer:
Anna and Ojo will have same amount after 13 days.
Step-by-step explanation:
Given that:
Anna has 300 naira
She saves 50 naira per day.
Let,
x be the number of days.
y be the amount saved
y = 50x + 300
Ojo has 1860 naira
He spends 70 naira per day.
Let,
x be the number of days
y be the amount left
y = 1860 - 70x
For equal amount, the equations will be equal
50x +300 = 1860 - 70x
50x + 70x = 1860 - 300
120x = 1560
Dividing both sides by 120
[tex]\frac{120x}{120}=\frac{1560}{120}\\x=13[/tex]
Hence,
Anna and Ojo will have same amount after 13 days.
The mean amount purchased by a typical customer at Churchill's Grocery Store is $27.50 with a standard deviation of $7.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 68 customers, answer the following questions
a. What is the likelihood the sample mean is at least $30.00?
b. What is the likelihood the sample mean is greater than $26.50 but less than $30.00?
c. Within what limits will 90 percent of the sample means occur?
Answer:
a) 0.0016 = 0.16% probability that the sample mean is at least $30.00.
b) 0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00
c) 90% of sample means will occur between $26.1 and $28.9.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use 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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, we have that:
[tex]\mu = 27.50, \sigma = 7, n = 68, s = \frac{7}{\sqrt{68}} = 0.85[/tex]
a. What is the likelihood the sample mean is at least $30.00?
This is 1 subtracted by the pvalue of Z when X = 30. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem, we have that:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{30 - 27.5}{0.85}[/tex]
[tex]Z = 2.94[/tex]
[tex]Z = 2.94[/tex] has a pvalue of 0.9984
1 - 0.9984 = 0.0016
0.0016 = 0.16% probability that the sample mean is at least $30.00.
b. What is the likelihood the sample mean is greater than $26.50 but less than $30.00?
This is the pvalue of Z when X = 30 subtracted by the pvalue of Z when X = 26.50. So
From a, when X = 30, Z has a pvalue of 0.9984
When X = 26.5
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{26.5 - 27.5}{0.85}[/tex]
[tex]Z = -1.18[/tex]
[tex]Z = -1.18[/tex] has a pvalue of 0.1190
0.9984 - 0.1190 = 0.8794
0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00.
c. Within what limits will 90 percent of the sample means occur?
Between the 50 - (90/2) = 5th percentile and the 50 + (90/2) = 95th percentile, that is, Z between -1.645 and Z = 1.645
Lower bound:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]-1.645 = \frac{X - 27.5}{0.85}[/tex]
[tex]X - 27.5 = -1.645*0.85[/tex]
[tex]X = 26.1[/tex]
Upper Bound:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]1.645 = \frac{X - 27.5}{0.85}[/tex]
[tex]X - 27.5 = 1.645*0.85[/tex]
[tex]X = 28.9[/tex]
90% of sample means will occur between $26.1 and $28.9.
solve the question below, please..
Answer:
C = 133.33°
Step-by-step explanation:
Apply the Law of Cosines to find angle C:
[tex] Cos(C) = \frac{a^2 + b^2 - c^2}{2ab} [/tex]
Where,
a = 8.5 cm
b = 4.1 cm
c = 11.7 cm
Plug in the values
[tex] Cos(C) = \frac{8.5^2 + 4.1^2 - 11.7^2}{2*8.5*4.1} [/tex]
[tex] Cos(C) = \frac{-47.83}{69.7} [/tex]
[tex] Cos(C) = -0.6862 [/tex]
[tex] C = Cos^{-1}(-0.6862) [/tex]
C = 133.33°
Describe how you can tell whether a lines slope is greater than 1,equal to 1, or less than 1
Answer:
Rise over Run
Step-by-step explanation:
You need to find the rise over run. Find a point where the line crosses a set of points on the graph. Then find another point on the graph where the line crosses. start at the bottom point and count up till you get even to where the point is. then count over till you get to the point. That is your rise over run. Now simplify the rise over run. You should get a number and that is how you can tell if if a lines slope is equal to 1, greater than 1, or less than 1.
Hope this Helps!
Pls answer I need it
Answer:
I think 3rd!
.
.
.
.
.
.
.
Answer:
44 photos
Step-by-step explanation:
y = 44 + 24x
Solve for x.
I will give brainliest
Answer:
22.5
Step-by-step explanation:
Everything equals 180. This means that the 90 degree angle creates half of that would mean that everything on the right side of the 90 degree angle, also has to equal 90 degrees. X=22.5 because you have to combine like terms meaning x + 3x = 90- 4x=90. Divide by 4 on both sides of the equals sign. Plug that into a calculator and you get 22.5 Since it is only asking for the singular x, you don't have to solve for 3x. (It would be 67.5)
Your insurance policy has a $3000 deductible and a 25% co-insurance. How much
will you have to pay for an elbow surgery that cost $11000?
Ani dont know
Step-by-step explanation:
9y+3-4x-2y-3x-5 combine like terms
Answer:
7y-7x-2
Step-by-step explanation:
9y+3-4x-2y-3x-5
7y-7x-2
that a lot of points thx :)
you just add the numbers of the like terms togehter
Answer:
7y-2-7x
Step-by-step explanation:
What is the length of the hypotenuse to the nearest hundredth place in the diagram
below?
570
4cm
A 2.60
B 6.16
C 4.77
D 7.34
What was the answer
Answer:D
Step-by-step explanation:
HELP PLS ASAP 25 POINTS YOU CAN SAVE MY GRADE PLS
Evaluate the expression below when x = 5.
3x(2x - 7)
A.) 0
B.) 24
C.) 45
D.) 143
Answer:
C.) 45
Step-by-step explanation:
3x(2x - 7)
3 * 5 (2 * 5 - 7)
15 * (10 - 7)
15 * 3
45
Hope this helps :)
Uncle John has 32 lemon trees and 28 lime trees to plant on his grove. He would like to plant the trees in rows where each row has the same number of lemon trees and each row has the same number of lime trees. What is the greatest number of rows Uncle John can plant?
Answer:
The greatest number of rows is 10.
To find this you can do 32 plus 28 which equals 60 then you know 60 divided by 10 is 6 so you could have six rows and six columns or 10 rows and six columns and 10 is greater than six.
So, the greatest number of rows you can have is 10.
PLEASE HELP!! QUICK!! WORTH 80 POINTS!!!
A?
B?
C?
D?
and proof.
Answer:
C
Step-by-step explanation:
Key skills needed: Inequalities
1) We are given that inequality.
The inequality is b ≤ 11 (any variable would work instead of "b")
--> It is "≤" and not "<" since there is a filled/shaded dot on the 11.
2) This means we solve all the ones with less than or equal to symbols.
A does not have a ≤ symbol, so A cannot be it
3) Solve each one:
B --> -k [tex]\leq[/tex] 11
Divide by -1 on both sides and get [tex]k \geq -11[/tex] B cannot be it
C --> 44 ≥ b + 33
Subtract 33 from both sides and get b [tex]\leq[/tex] 11
Therefore C is your answer C can be it!!
If you want to check D --> x -11 ≤ 11
Add 11 to both sides and get x ≤ 22 D cannot be it
Hope you understood and have a nice day!!
Answer:
C. 44 ≥ b+33
Step-by-step explanation:
Lets think about this. It really doesn't matter what the variable is also, we should immediately disregard A because its not a greater than or equal to sign. You should also, you how I can to this conclusion was that, SHADED circle in are always greater than or equal to or less than or equal to. EMPTY circle means greater than or less than. Therefore, you have already taken down A. B on the other hand would've worked if not for the fact that the variable is a negative. D on the other hand if you do the math of what the number line would be 11 -11=0 while it is less than or equal to 11. To get 11 or anything else other than below 0 you would fall off the number line. Therefore, because 44≥b+33 would be 44≥11+33 or anything less would work.
C. 44 ≥ b + 33
WILL GIVE YOU BRAINLIEST
In the coordinate plane, the point X (3, -2) is translated to the point X'(2, - 4). Under the same translation, the points Y (7, 1) and Z (-1, 2) are
translated to Y' and Z', respectively. What are the coordinates of Y' and Z'?
Answer:
The coordinates of Y' and Z' are, respectively Y'(6,-1) Z'(-2,0)
Step-by-step explanation:
Translations
A given point A(x,y) when translated by the rule (h,k) maps to A'(x+h,y+k).
We are given the point X(3,-2) and its image at X'(2,-4). The rule for the translation used is:
(h,k)=(2,-4)-(3,-2)=(2-3,-4+2)=(-1,-2)
If we apply the same translation to the point Y(7,1) we get the image Y'(7-1,1-2)=Y'(6,-1).
If we apply the same translation to the point Z(-1,2) we get the image Z'(-1-1,2-2)=Z'(-2,0).
The coordinates of Y' and Z' are, respectively Y'(6,-1) Z'(-2,0)
A building 11 stories has a glass enclosed elevator that goes up and down the outer wall of the building. From the 1st floor below the topmost floor you take the elevator and go down 5 floors. How many floors are you above the bottom floor?
write 36/48 in simplest form
Answer:
3/4
Step-by-step explanation:
heyyyyyyyyyyyyyyyyyyyyy
Answer:
3/4 (find the GCF, greatest common factor, and divide both sides [12])
Step-by-step explanation:
please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!
(lol optional): add my sc: tealyn337
Please help 30 points
Answer:
The total surface area is 973.89 ft
Step-by-step explanation:
The formula for the surface area of a cylinder is A=2πrh+2πr2.
The top cylinder has a radius of 5 ft, and height of 2 ft.
The bottom cylinder has a radius of 10 ft, and a height of 2 ft.
Plug in the numbers for each and you get:
Top Cylinder:
A=2π(5)(2)+2π(5^2)
A=2π(10)+2π(25)
A= 62.83185307 + 157.079327
A= 219.9111801
A≈ 219.91
Bottom Cylinder:
A= 2π(10)(2)+2π(10^2)
A= 2π(20)+2π(100)
A= 125.6637061 + 628.3185307
A= 753.9822368
A≈ 753.98
Combined:
753.98 + 219.91 = 973.89
At a bicycle shop, all the bicycles are on sale for $25 off the regular price. If p represents the regular price in dollars of a bicycle, which expression gives the sale price in dollars?
A. 25p
B. – 25p
C. p – 25
D. p + 25
Answer:
C
Step-by-step explanation:
P-25
a) Find the value of 3a + 4b when a = 17 and b = 9.
+
b) Use the formula v= u + at to find the velocity, when
• the initial velocity is 3 m/s
• the acceleration is 1.5 m/s2
• the time is 7 seconds
+
Answer:
Step-by-step explanation: I think I know:7A+10B=222_5&-&6&6&656&&6&&5&5&&5'5'-6-
Which rectangular prism has a volume equal to the impression 6 * 3 * 4
Answer:
6
Step-by-step explanation:
Answer:
Step-by-step explanation:
The prism will have
L=6, W=3 and H=4
not sure about the question, it is a rectangular prism,
it cant be a cube
35 degrees divided by 20
Answer:
1.75 degrees
Step-by-step explanation:
6 batteries cost 29 dollars what is the unit rate?
Answer:
Step-by-step explanation:
In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour
Answer:
[tex]\large \boxed{\sf{4.83 \ dollars/battery}}[/tex]
Step-by-step explanation:
Unit rate is a ratio that compares two measurements.
Denominator is 1
[tex]\displaystyle \sf \frac{29\ dollars}{6\ batteries}=4.83\ dollars/battery[/tex]
Which of the following fractions is equivalent to -88/248 in least common terms?
Answer:
Its would be A -11/31
Step-by-step explanation:
my first expression answer is y=5 -2x How do I plug it into x-y=1 ?? The Y
1. x-5-2x=1 OR
2. x+5-2x=1
Answer:
All you need to do is make sure the first expression is solved for y (which it is), and then substitute it into the second expression in place of any occurrences of y:
given the second expression:
x - y = 1
We'll replace y with it's value in the first expression:
x - (y) = 1
x - (5 - 2x) = 1
Now we can expand the resulting equation:
x - 5 + 2x = 1
So neither of the answers provided are correct.
You can then solve for x:
x - 5 + 2x = 1
x - 5 + 5 + 2x = 1 + 5
x + 2x = 6
3x = 6
3x/3 = 6/3
x = 2
After that, you can find y by plugging x into either of the two original equations:
y = 5 - 2x
y = 5 - 2(2)
y = 5 - 4
y = 1
completely factor 7x^2 - 4x - 3
Answer:
(7x+3) (x-1)
hope this helps!!:)
Step-by-step explanation:
PLEASE HELP ME PLEASE!!!!!!
Choose which type of description is used in each example. Planets surrounded by rings in our solar system include Jupiter, Saturn, Uranus, and Neptune. Saturn has fifty-three moons, more than any other planet in the solar system. Planets do not give off light themselves instead, light is reflected off of them.
Answer:
Step-by-step explanation:
Answer:
Choose which type of description is used in each example.
Planets surrounded by rings in our solar system include Jupiter, Saturn, Uranus, and Neptune.
✔ example
Saturn has fifty-three moons, more than any other planet in the solar system.
✔ characteristic
Planets do not give off light themselves; instead, light is reflected off of them.
✔ feature
Step-by-step explanation:
1. The value of y varies directly with x. If y = 30 when x =1/5
Which direct variation equation represents this relationship?
PLEASE HELP !!
Answer:
4. b) 30
5. c) y=2/3x+9
6. y=2x-5
Step-by-step explanation:
A={b,l,o,u,s,e} and U={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}.
Answer:
????????????????????????????????????????
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!
$4x-5$ is less than 25$
Jones has 550 goats, which is 10%more than Jay . How many more goats does Jones have than Jay?
Answer:
55
Step-by-step explanation:
10% of 550 is 55
PLZ HELP DUE TODAY IN 10 MIN
Answer:
y= 5x + 4
Step-by-step explanation:
slope ontercept
Answer:
I think its 5x + 4 if I did it right
The restaurant at the top of a very tall building in Seattle rotates 1.02 revolutions every hour. Chelsea sits 21.9 m from the center of the restaurant near a window.
1. Through how many radians does Karen turn in 101 minutes?
2. How far does Karen move in 101 minutes?
Answer:
1. 10.8 radians
2. 236.3 meters
Step-by-step explanation:
The restaurant at the top of a very tall building in Seattle rotates 1.02 revolutions every hour. Chelsea sits 21.9 m from the center of the restaurant near a window.
1. Through how many radians does Karen turn in 101 minutes?
1 revolution = 360°
Hence since Seattle rotates 1.02 revolutions every hour
Step 1
We convert to degrees per minute
= (360 × 1.02 revolutions/hour)/60 minutes
= 6.12 degrees per minute
Step 2
Convert to radians
Number of minutes = 101 minutes
Hence:
(6.12 degrees per minute × 101 ) × π/180
= 10.788229172 radians
Approximately = 10.8radians
2. How far does Karen move in 101 minutes?
We are to calculate the distance in question 2.
We know that: Chelsea sits 21.9 m from the center of the restaurant near a window.
Therefore,
2 × π × 2.19m = 137.60175823
[6.12 degrees per minute × 101 minutes × 137.60175823]/360
= 236.26221888 meters
Approximately = 236.3 meters