Answers
Related Questions
Nora makes $3000 a month. If she spends 15% of that on medical bills each month, how much does she spend on medical bills?
Answers
Rewrite the equation in Standard Form: 2=y-2x
Answers
Answer:
Standard Form: 2x - y = -2
The amount of time required for an oil and filter change on an automobile is normally distributed with a mean of 45 minutes and a standard deviation of 10 minutes. 1)If a random sample of 16 cars is selected, a) what is the probability that the sample mean will be between 39 and 48 minutes? b) 95% of all sample means will fall between what two values? c) 90% of the sample means will be greater than what value? 2)What sample size is needed in order for the standard deviation of the mean to be one fifth of the population standard deviation?
Answers
Answer:
1a
[tex]P(39 < X < 48 ) = 0.8767[/tex]
1b
95% of all sample means will fall between [tex] 40.1 < \mu < 49.9 [/tex]
1c
[tex]\= x = 41. 795[/tex]
2
[tex]n = 25[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]n = 45[/tex]
The population standard deviation is [tex]\sigma = 10[/tex]
The sample size is n = 16
Generally the standard error of the mean is mathematically represented as
[tex]\sigma_{x} = \frac{ \sigma}{\sqrt{n} }[/tex]
=> [tex]\sigma_{x} = \frac{ 10 }{\sqrt{16 } }[/tex]
=> [tex]\sigma_{x} = 2.5[/tex]
Generally the probability that the sample mean will be between 39 and 48 minutes is
[tex]P(39 < X < 48 ) = P( \frac{ 39 - 45}{ 2.5} < \frac{X - \mu }{\sigma } < \frac{ 48 - 45}{ 2.5} )[/tex]
=> [tex]P(39 < X < 48 ) = P(-2.4 < Z< 1.2 )[/tex]
=> [tex]P(39 < X < 48 ) = P( Z< 1.2 ) - P(Z < -2.4)[/tex]
From the z table the area under the normal curve to the left corresponding to 1.2 and -2.4 is
=> [tex]P( Z< 1.2 ) = 0.88493[/tex]
and
[tex]P( Z< - 2.4 ) = 0.0081975[/tex]
So
[tex]P(39 < X < 48 ) = 0.88493 -0.0081975[/tex]
=> [tex]P(39 < X < 48 ) = 0.8767[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * 2.5 [/tex]
=> [tex]E =4.9 [/tex]
Generally the 95% of all sample means will fall between
[tex]\mu -E < and \mu +E[/tex]
=> [tex]45 -4.9\ and \ 45 + 4.9[/tex]
Generally the value which 90% of sample means is greater than is mathematically represented
[tex]P( \= X > \= x ) = 0.90[/tex]
=> [tex]P( \= X > \= x ) = P( \frac{\= X - \mu }{ \sigma_x} > \frac{\= x -45 }{ 2.5} ) = 0.90[/tex]
=> [tex]P( \= X > \= x ) = P( Z > z ) = 0.90[/tex]
Generally from the z-table the critical value of 0.90 is
[tex]z = -1.282[/tex]
[tex]\frac{\= x -45 }{ 2.5} = -1.282[/tex]
=> [tex]\= x = 41. 795[/tex]
Considering question 2
Generally we are told that the standard deviation of the mean to be one fifth of the population standard deviation, this is mathematically represented as
[tex]s = \frac{1}{5} \sigma[/tex]
Generally the standard deviation of the sample mean is mathematically represented as
[tex]s = \frac{\sigma }{ \sqrt{n} }[/tex]
=> [tex]\frac{1}{5} \sigma = \frac{\sigma }{ \sqrt{n} }[/tex]
=> [tex]n = 5^2[/tex]
=> [tex]n = 25[/tex]
Using the normal distribution and the central limit theorem, it is found that:
1)
a) 0.8767 = 87.67% probability that the sample mean will be between 39 and 48 minutes.
b) 95% of all sample means will fall between 40.1 and 49.9 minutes.
c) 90% of the sample means will be greater than 41.8 minutes.
2) A sample size of 25 is needed.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
The mean is of 45 minutes, hence [tex]\mu = 45[/tex].The standard deviation is of 10 minutes, hence [tex]\sigma = 10[/tex].Sample of 16 cars, hence [tex]n = 16, s = \frac{10}{\sqrt{16}} = 2.5[/tex].Item 1, question a:
The probability is the p-value of Z when X = 48 subtracted by the p-value of Z when X = 39, hence:
X = 48:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{48 - 45}{2.5}[/tex]
[tex]Z = 1.2[/tex]
[tex]Z = 1.2[/tex] has a p-value of 0.8849.
X = 39:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{39 - 45}{2.5}[/tex]
[tex]Z = -2.4[/tex]
[tex]Z = -2.4[/tex] has a p-value of 0.0082.
0.8849 - 0.0082 = 0.8767
0.8767 = 87.67% probability that the sample mean will be between 39 and 48 minutes.
Item b:
The critical value for a 95% confidence interval is |z| = 1.96, hence:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]-1.96 = \frac{X - 45}{2.5}[/tex]
[tex]X - 45 = -1.96(2.5)[/tex]
[tex]X = 40.1[/tex]
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]1.96 = \frac{X - 45}{2.5}[/tex]
[tex]X - 45 = 1.96(2.5)[/tex]
[tex]X = 49.9[/tex]
95% of all sample means will fall between 40.1 and 49.9 minutes.
Item c:
Greater than the 10th percentile, which is X when Z has a p-value of 0.1, so X when Z = -1.28.
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]-1.28 = \frac{X - 45}{2.5}[/tex]
[tex]X - 45 = -1.28(2.5)[/tex]
[tex]X = 41.8[/tex]
90% of the sample means will be greater than 41.8 minutes.
Item 2:
This is n for which [tex]s = \frac{10}{5} = 2[/tex], hence:
[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
[tex]2 = \frac{10}{\sqrt{n}}[/tex]
[tex]2\sqrt{n} = 10[/tex]
Simplifying both sides by 2:
[tex]\sqrt{n} = 5[/tex]
[tex](\sqrt{n})^2 = 5^2[/tex]
[tex]n = 25[/tex]
A sample size of 25 is needed.
A similar problem is given at https://brainly.com/question/14789302
127.86
+78.95
+23.09
Answers
Answer:
229.9
Step-by-step explanation:
Answer:
229.9
Step-by-step explanation:
Uh easyyyyy lol
a). Se pretende construir un invernadero, en un terreno que presenta una pendiente del 10%. Por lo tanto se requiere nivelarlo, con el método de nivelación simple. Los datos que aparecen en la figura son los obtenidos en campo. Calcular;
.
a). El desnivel entre los puntos A y B.
b). La lectura que deberá tomarse en el punto B, si el nivel está correcto
Answers
i think its a sorry if wrong
Find an equation for the line below.
Answers
Answer:
y=2/4x+4.5
Step-by-step explanation:
Use rise over run to get 2/4 and the line splits 4 and 5 to get 4.5
Hope this Helps :)
Answer:
Step-by-step explanation:
Unsure
Solve the absolute value equation :| 10n - 8| + 16 = 4
Answers
[tex]\boxed{n=-2}[/tex]
Solution Steps: - Steps for solving an absolute value equation-
______________________________
1.) Find the absolute value:[tex]|10n-8|=10n+8[/tex]
- Absolute value just means if there is any negatives then make them positive.
Equation at the end of this step:
[tex]10n+8+16=4[/tex]2.) Add 8 and 16:[tex]8+16=24[/tex]Equation at the end of this step:
[tex]10n+24=4[/tex]3.) Subtract 24 from both sides:[tex]24-24=[/tex] Cancels out[tex]4-24=-20[/tex]
- Since it was adding, you do the opposite, which is why we subtracted.
Equation at the end of this step:
[tex]10n=-20[/tex]4.) Divide both sides by 10:[tex]10n[/tex] ÷ [tex]10=n[/tex][tex]-20[/tex] ÷ [tex]10=-2[/tex]
- Since it was multiplying, you do the opposite, which is why we divided.
______________________________
Jessie put $3,200 into a savings account that earns 3.5% annual compound interest. If she makes no other deposits or withdrawals, what will her balance be after 12 years?
-SHOW ALL WORK
Answers
Answer:
r = 35 / ( 3200 × 12 ) = 0.00091146
r = 0.00091146
converting r decimal to a percentage
R = 0.00091146 * 100 = 0.0911%/year
The interest rate required solve for the simple interest of $ 35.00
from a principal of $ 3,200.00
over 12 years is 0.0911% per year.
Step-by-step explanation:
Jessie's balance after 12 years will be $4867.3
Initial investment of Jessie in the saving account = $3200
Annual compound Interest rate = 3.5% = 0.035
Given that she makes no withdrawal or deposits
Let us consider that the amount is compounded monthly
The Amount of the compound interest can be calculated by equation (1)
[tex]\rm A = P (1 +r/n)^{(nt)}.....(1)\\where \\A = Future \; amount\\r = Annual\; compound\; interest \; rate\\n = The\; number\; of\; times \; the \; interest\; rate\; is \; compounded\; per\; unit \; time\\ P = Initial \; amount \\t = Number \;of \; years\; for\; which\; investment\; is\; done[/tex]
So for the given situation according to the given data
P = 3200
r = 0.035
n = 12 (considering compounded monthly)
t = 12 years
On putting these values in equation (1) we get
[tex]\rm A = 3200(1+0.035/12)^{12\times12} = 4867.3[/tex]
So Jessie's balance after 12 years will be $4867.3
For more information please refer to the link given below
https://brainly.com/question/14295570
What is 3t = -8.16
Thank you if anyone helps, I’m really bad with one step equations ;-;
Answers
Answer:
t=−2.72
Step-by-step explanation:
How many 40 seconds are in one whole?
Answers
Answer:
huh?
Step-by-step explanation:
Minute? Hour?
1
What is the rule for the table? Start your rule with y =.
0/1
IN (x)
-4
-3
-2
-1
0
1
2
3
4
-7
OUT (y)
-5
-3
-1
1
3
5
9
7
Answers
Answer:
wsdf nbvc wer jhgf jhgfc
Step-by-step explanation: wed tgfd qwd
Have done these types of questions
Hope this helps
6th grade math I mark as brainliest
Answers
Answer:
AStep-by-step explanation:
Exponents are representations of repeated multiplication.
For example: 5³ = 5 x 5 x 5 or 125. If we want to compare values, we must evaluate each expression and then compares the final values for each.
3⁶ = 3 x 3 x 3 x 3 x 3 x 3 = 729
6³ = 6 x 6 x 6 = 216
729 > 216
We can immediately notice that 3⁶ is much larger than 6³
Howard bought a dish washer for $550. He made a down payment of $75 and paid the balance off in 12 monthly payments. Find the monthly payment if the interest rate was 11%.
Answers
Answer:
$900 for monthly payments
Step-by-step explanation:
$1450 in total
help meee plzzzzzzzz
Answers
Answer:
450 cm i think
How do you write
25/4
as a percentage?
Answers
Answer:
625%
Step-by-step explanation:
Convert fraction (ratio) 25 / 4 Answer: 625%
Answer:
Google says 625% and 6.25 as a decimal
Determine whether each ordered pair is a solution of the system.
5-7x+2y2 =-10
1-5x-2y =-22
a) (-4,-6)
b) (6,4)
Answers
According to the system:
5 – 7x + 2y² = -10
1 – 5x – 2y = -22
______________
a) No ; (4, 6) is not a solution to the
system. This point does not touch either equation.
b) No ; (6, 4) is not a solution to the system. This point does not touch either equation.
Solutions:
[tex]( \frac{122 - 3 \sqrt{101}}{25}, \frac{ - 7 +3 \sqrt{101}}{10}) ≈ (3.674, 2.315) \\ ( \frac{122 + 3 \sqrt{101}}{25}, \frac{ - 7 - 3 \sqrt{101}}{10}) ≈ (6.086, -3.715) [/tex]
x = ( 122 ∓ 3√101 ) / 25 ≈ 3.674 or 6.086
y = ( -7 ± 3√101 ) / 10 ≈ 2.315 or -3.715
Trevor made this number pattern 2,9,16,23,30,37 if the pattern continues what will be the eight number be
Answers
Answer:
44
Step-by-step explanation:
what is baal veer? give all the bad and good fairies names i will mark those people as b brainiest
Answers
Answer:
The story revolves around a boy, Baal Veer, who is blessed with the powers of 7 fairies. Gaal Pari (Cheek Fairy), Vijhdar Pari (Electric Fairy), Baal Pari (Tress Fairy), Atkaati Pari (Obstacle Fairy), Aarpar Pari (Across Fairy), Bhatkati Pari (Wander Fairy), Natkhat Pari (Naughty Fairy) and Rani Pari (Queen Fairy) give magical powers to Baal Veer to help them fight an evil fairy Bhayankar Pari (Frightening Fairy), who wants to become the queen of Pari Lok (Fairy Realm). Years ago, Maa Pari (Mother Fairy) gave Pari Lok's (Fairy Realm's) throne to Bahuroopi Pari (Disguise Fairy) instead of Bhayankar Pari, who, at that time was Bhali Pari (Good Fairy), so she returns to take revenge from Maa Pari and Rani Pari. Baal Veer is sent to Earth to help children and to save Earth from Bhayankar Pari and the wrath of other cunning and cruel, evil fairies. Baal Veer stays with the Dagli family on Earth as Ballu. The family has seven members who never lie, even at the time of difficult circumstances, including Manav and Meher, who later receive powers from Rani Pari (they were made Baal Mitra and Baal Sakhi, respectively) and help Baal Veer in his quests and adventures.
Step-by-step explanation:
Native people in the Amazon Rainforest use a toxin to help them catch fish. The toxin interferes with the gas exchange in the fish which makes them slow and easy to catch. Which of the following describes what is occurring to the cellular respiration in the fish?
A . The fish are unable to take in oxygen and cannot convert glucose into ATP
B. The fish are unable to take in ATP and cannot produce glucose for energy
C. The fish are unable to make glucose from sunlight
D. The fish are unable to take in carbon dioxide and cannot make ATP
Answers
Answer:
A
Step-by-step explanation:
The thing that will occur to the cellular respiration in the fish is A. The fish are unable to take in oxygen and cannot convert glucose into ATP.
Cellular respiration refers to the metabolic pathway that helps in the breaking down of glucose and the production of ATP.In this case, since there is toxin that is put in the river to help them catch fish, the fish will be unable to take in oxygen and would not be able to convert glucose into ATP.Read related link on:
https://brainly.com/question/1404493
Solve for x 7x^2+3x-2+0
Answers
Answer:
X=-1/3 and x=-2
Because (3x+1)(x+2)=0
3x+1=0 will give x=-1/3
x+2=0 will give x=-2
Step-by-step:
hth!
Which is equivalent to 3.25%?
0.0325
0.325
32.5
325
Answers
Answer:
a 0.0325
Step-by-step explanation:
0.325 because if you transfer a percent in to a decimal you will have to divide by 100 and get 0.0325
The equivalence of 3.25
3.25/100
=0.0325
Evaluate the function at x = –2.
y = 3
y = –2
y = 2
y = 0
Answers
20. Find the slope of the line graphed below.
Answers
Can someone please help, ty!!
(Will mark brainliest)
Answers
Answer:
6th graders
Step-by-step explanation:
The median is actually just the line inside the box of the box-and-whisker plot.
Notice that for 6th graders, the median is at about 2.4, while for 4th graders, the median is at about 1.5.
Clearly, the 6th graders have the higher median.
Plsss help ASAP!!!!!!
Answers
Answer:
Its either A or D because its reflection so that cancels out B and C
im not sure if this helps u or not but at lest it cancels out 2 of the options
The reflection of a horizontal line has the same result as a rotation of 90 degrees clockwise.
Step-by-step explanation:
When an image is rotated 90 degrees counterclockwise the shape is still congruent but in a different quadrant. The same is true when an image is reflected across a horizontal line.
Find the y-intercept of the following equation. Simplify your answer.
y = –10x − 8
Answers
Answer: -8
Step-by-step explanation: because the formula is mx+b=y and the -8 is the b
QUICKLY!!!!!!!!!!
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions. Online Content: Site 1 When graphing inequalities, where can the solutions be found?
Answers
Answer:
what do u need help with
lucia draws a square and plots the center of the square. (image)
Answers
Answer:
C
Step-by-step explanation:
Lucia's claim is correct since any rotation that is a multiple of 45° carries a square onto itself
Find the volume of the cube.
Answers
Answer:
60 cm & 60 mL
Hope this helps! Let me know if this is right or not.
help help HELP ASAP.
1 a negative
2 a positive
Answers
Answer:
a negative
Step-by-step explanation:
Answer:
Negative
Step-by-step explanation:
The fact that the market value falls below the maintenance cost, shows that the at the current value of the car is negative.