Answer:
W = 4.95
Step-by-step explanation:
You want to start by writing down what you know, and forming a system of equations.
L= length W= width
2L+2W=14.7
L= 2.4
On the left side of the equation, you're adding all your side lengths, and on the right, is the total perimeter. (Also could be written L+L+W+W = 14.7)
You would then substitute L from the bottom equation into the top equation to get:
2(2.4) +2W=14.7
Solving:
4.8+2w=14.7
W= 4.95
To check your answer simply add all the sides together and make sure it equals your perimeter. You can also plug W and L back into the original equation.
A salesman receives a salary of RM 2000 per month. He wis receive a commission of RM 800 for each car he sells. If he sells n cars in a particular month,
a. Find his monthly salary when n = 18.
b. Express his salary in terms of n.
Answer:
a) month salary = RM(18×800+2000)
= RM 16400
b) his salary = RM(800n+2000)
Hope it helps
Round your number to the nearest hundredth 65 7
The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 120 and standard deviation of 18 . Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher. a. Around what percentage of adults in the USA have stage 2 high blood pressure
Answer:
The percentage of adults in the USA have stage 2 high blood pressure=98.679%
Step-by-step explanation:
We are given that
Mean, [tex]\mu=120[/tex]
Standard deviation, [tex]\sigma=18[/tex]
We have to find percentage of adults in the USA have stage 2 high blood pressure.
[tex]P(x\geq 160)=P(Z\geq \frac{160-120}{18})[/tex]
[tex]P(x\geq 160)=P(Z\geq \frac{40}{18})[/tex]
[tex]P(x\geq 160)=P(Z\geq 2.22)[/tex]
[tex]P(x\geq 160)=1-P(Z\leq 2.22[/tex]
[tex]P(x\geq 160)=0.98679[/tex]
[tex]P(x\geq 160)=98.679[/tex]%
Hence, the percentage of adults in the USA have stage 2 high blood pressure=98.679%
Find m angle NML; m angle QML=115^ and m angle NMQ=28^
Answer:
We're provided - m ∠ QML = 115° , m ∠ NMQ = 28° and we're asked to find out m ∠ NML. Set up an equation and solve for m ∠ NML.[tex] \large{ \tt{❀ \: m \: \angle \: NML= m \: \angle \:QML + m \: \angle \: NMQ}}[/tex]
[tex] \large{ \tt{⤇m \: \angle \:NML= 115 \degree + 28 \degree }}[/tex]
[tex] \boxed{ \large{ \tt{⤇ \: m \: \angle \:NML = 143 \degree }}}[/tex]
Hence , Our final answer is 143° . Hope I helped! Let me know if you have any questions regarding my answer and also notify me , if you need any other help! :)▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Simplify the ratio.
2.25 to 0.5
Answer:
9:2
Step-by-step explanation:
An experimenter flips a coin 100 times and gets 59 heads. Find the 98% confidence interval for the probability of flipping a head with this coin.
Answer:
The 98% confidence interval for the probability of flipping a head with this coin is (0.4756, 0.7044).
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 z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
An experimenter flips a coin 100 times and gets 59 heads.
This means that [tex]n = 100, \pi = \frac{59}{100} = 0.59[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.59 - 2.327\sqrt{\frac{0.59*0.41}{100}} = 0.4756[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.59 + 2.327\sqrt{\frac{0.59*0.41}{100}} = 0.7044[/tex]
The 98% confidence interval for the probability of flipping a head with this coin is (0.4756, 0.7044).
Fill in the blanks with the correct verbs given below.
(croak, is ,brush, writes plays, chirp, combines, mows, are look , keeps rises ,has,
reflects leaves, walks, is)
1. Marry ......... to office every morning .Walking is good exercise.
2. We........ our teeth after dinner. It ..........them clean.
3. Salim......... for school everyday at 7:00 a.m.
4. The sun ..........at 5:00 a.m. these days. The days are getting longer.
5. The tiger ......an endangered animal. There are only 1410 tigers left.
6. Vikram Seth......... poetry, fiction and travelogues.
7. Sania Mirza......... tennis. She plays both singles and doubles.
8. Frogs....... ...and birds...........
9. Please ..........for my red shirt. I cannot find it.
10. The gardener ........ the loan once a week.
11. The moon ........the light of the sun.
12. The times of India......... a national newspaper.
13. The UN headquarters...... in Geneva.
14. Maya ........... a pet dog .Its name is Lily.
15. This book....... projects and activities.
Answer:
Fill in the blanks with the correct verbs given below.
(croak, is ,brush, writes plays, chirp, combines, mows, are look , keeps rises ,has,
reflects leaves, walks, is)
1. Marry ...keeps rises...... to office every morning .Walking is good exercise.
2. We...brush..... our teeth after dinner. It .....makes.....them clean.
3. Salim....wakes..... for school everyday at 7:00 a.m.
4. The sun ...rises.......at 5:00 a.m. these days. The days are getting longer.
5. The tiger chirp......an endangered animal. There are only 1410 tigers left.
6. Vikram Seth.....combines........ poetry, fiction and travelogues.
7. Sania Mirza....plays..... tennis. She plays both singles and doubles.
8. Frogs....croak... ...and birds.....chirp......
9. Please ....look......for my red shirt. I cannot find it.
10. The gardener .....mows....... the loan once a week.
11. The moon ...keep rises.....the light of the sun.
12. The times of India......writes....... a national newspaper.
13. The UN headquarters.....is..... in Geneva.
14. Maya ...has........ a pet dog .Its name is Lily.
15. This book....writes..... projects and activities
What is 12 x 12 ?
A. 12
b. 144
c. 147
d. 2574
Answer:
b
Step-by-step explanation:
f(x) = 4x*x is a function?
Answer:
yes it is
Step-by-step explanation:
Select the correct answer.
What is the domain of y = tan x?
A. (-0,0)
B. (0,7)
c. all stan
D. all x 91
Need Plato help
Answer: d all
Step-by-step explanation: Because The domain of the function y = tan (x)) is all real numbers except the values where cos (x) is equal to 0, that is, the values π 2 + π n for all integers n. The range of the tangent function is all real numbers.
Which would result in a lower price to first discount an item by 10% and then by a further 15%, OR to first discount an item by 15% and then by a further 10%. Justify your reasoning.
Answer:
Neither one. They will both result in the same price.
Step-by-step explanation:
To discount an item 10%, you charge 90% of the price of the item. To find 90% of a price, you multiply the price by 0.9.
To discount an item 15%, you charge 85% of the price of the item. To find 85% of a price, you multiply the price by 0.85.
Since multiplication is commutative, multiplying a number by 0.9 and then by 0.85 is the same as multiplying the number by 0.85 first and then by 0.9.
Let's say the item costs x.
Take off the 10% discount first: 0.9x
Now take off the 15% discount: 0.85 * (0.9x)
Now do it the other way.
Take off the 15% discount first: 0.85x
Now take off the 10% discount: 0.9 * (0.85x)
Since 0.85 * 0.9 * x = 0.9 * 0.85 * x, the results are the same.
Answer: neither
NO LINKS OR ANSWERING WHAT YOU DON'T KNOW!!!!!
7. Suppose y varies inversely with x, and y = 39 when x = 1/3. What is the value of y when x = 26.
a. 3
b. 2
c. 1/2
d. 13
8. Suppose y varies inversely with x, and y = 25 when x = -1/5. What inverse variation equation relates x and y?
a. y = 5/x
b. y = -5/x
c. y = 5x
d. y= -5x
Answer:
Problem 7) C
Problem 8) B
Step-by-step explanation:
Recall that inverse variation has the form:
[tex]\displaystyle y=\frac{k}{x}[/tex]
Where k is the constant of variation.
Problem 7)
We are given that y = 39 when x = 1/3. Thus:
[tex]\displaystyle 39=\frac{k}{{}^{1}\!/ \!{}_{3}}[/tex]
Solve for k:
[tex]\displaystyle k=\frac{1}{3}(39)=13[/tex]
Hence, our equation is:
[tex]\displaystyle y=\frac{13}{x}[/tex]
Then when x = 26, y equals:
[tex]\displaystyle y=\frac{13}{(26)}=\frac{1}{2}[/tex]
Problem 8)
We are given that y = 25 when x = -1/5. Thus:
[tex]\displaystyle 25=\frac{k}{-{}^{1}\!/ \!{}_{5}}[/tex]
Solve for k:
[tex]\displaystyle k=-\frac{1}{5}(25)=-5[/tex]
Hence, our equation is:
[tex]\displaystyle y=-\frac{5}{x}[/tex]
PLEASE HELP I WILL MARK YOUR ANSWER AS BRAINLIEST PLEASE BE CORRECT BEFORE ANSWERING
LOOK AT THE BOTTOM
9514 1404 393
Answer:
y = 2
Step-by-step explanation:
The figure must be flipped top-to-bottom, so the line of reflection must be a horizontal line. Point B must be reflected to itself, so it is on the line of reflection. That means the line of reflection is y = 2.
__
You can draw the line of reflection using any two points that have y-coordinates of 2, for example, (0, 2) and (2, 2).
Can someone help me with this an my other work please?
PLEASE HELP
The function in the table is quadratic:
TRUE
FALSE
Answer:
False
Step-by-step explanation:
Each f(x) increases by 8 therefore this equation is a linear function. If you where to graph it would be a straight line
Hope this helped :)
Answer:
False
Step-by-step explanation:
The slope is the same between all pounts which means the function is linear.
Hope this helps!
Find the area of the region in two ways. a. Using integration with respect to x. b. Using geometry. 9-x
Answer: hello your question is incomplete attached below is the complete question
answer :
a) [tex]\int\limits^3_0 {(10-x)-(x+4)} \, dx[/tex] ( option D )
b) A = 1/2 (6)(3) ( option B )
c) Area of shaded region = 9
Step-by-step explanation:
a) Using integration with respect to x
Area = [tex]\int\limits^7_4 {(y-4)} \, dy + \int\limits^a_7 {(10-y)} \, dy[/tex] ( note a = 10 )
= y^2/2 - 4y |⁷₄ + 10y - y^2/2 |¹⁰₇
= 33/2 - 12 + 30 - 51/2 = 9
hence the best integral from the options attached is option D
[tex]\int\limits^3_0 {(10-x)-(x+4)} \, dx[/tex]
= [ 10x - x^2 /2 - x^2/2 - 9x ] ³₀
= 30 - 9/2 - 9/2 - 12 = 9
b) Using Geometry
Area = 1/2 * base * height
= 1/2 * 6 * 3
= 9
The number of diners at a restaurant each day is recorded and a daily average is calculated every month (assume 30 days in a month). The number of diners each day has a mean of 107 and a standard deviation of 60, but does not necessarily follow a normal distribution.The probability that a daily average over a given month is greater than x is 2.5%. Calculate x. You may find standard normal table useful. Give your answer to 3 decimal places.x =
Answer:
x = 128.472
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
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 p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes 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.
The number of diners each day has a mean of 107 and a standard deviation of 60.
This means that [tex]\mu = 107, \sigma = 60[/tex]
Distribution of the daily average:
Over a month of 30 days, so [tex]n = 30, s = \frac{60}{\sqrt{30}} = 10.955[/tex]
The probability that a daily average over a given month is greater than x is 2.5%. Calculate x.
This is X when Z has a p-value of 1 - 0.025 = 0.975, so X when Z = 1.96. Then
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]1.96 = \frac{X - 107}{10.955}[/tex]
[tex]X - 107 = 1.96*10.955[/tex]
[tex]X = 128.472[/tex]
So x = 128.472
Please help how to do this
Answer:
Frumpyton
Step-by-step explanation:
Since the standard deviation of Frumpyton is a lower number, this means a higher percentage of outcomes (job salaries) will be within a closer range to the mean salary. Since Frumpyton's standard deviation is $2,000 and the window your looking for is $32,000 to $36,000, if you go one interval up or down from the mean of $34,000, it falls in that range. Whereas, Dirtballville's standard deviation is $3,000 so it's more likely to fall outside of that range.
which of the following is the median of 19, 31, 15, 50, 20
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\text{19, 31, 15, 50, \& 20}[/tex]
[tex]\large\text{When you see or hear the word \underline{median}, think of the question}\\\large\text{asking you \bf what is the MIDDLE NUMBER.}\large\text{To find the}\\\large\text{middle number you have to put the numbers from descending}\\\large\text{(least/decreasing) or ascending (greatest/increasing) order}[/tex]
[tex]\large\text{15, 19, 20, 31, \& 20}[/tex]
[tex]\large\text{Make sure it is even on BOTH SIDES of the DATA SET}[/tex]
[tex]\large\text{It seems to be even on both sides of the number \bf 20}\large\text{ so \underline{20}}\\\large\text{can be your median/middle number in this given set}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: the median is \bf 20}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]
At that rate, about how many gallons of milk will they need to purchase in a year’s time?
Give your answer as a whole number.
Answer: 260 gallons
Step-by-step explanation:
We can use a proportion to solve this problem. We know that a family used 15 gallons of milk every 3 weeks. Since the problem asks for how much they will need for a year, we can gather that a year is 52 weeks. We can come up with the following proportion.
[tex]\frac{15}{3} =\frac{x}{52}[/tex] [cross multiply]
[tex]3x=780[/tex] [divide both sides by 3]
[tex]x=260[/tex]
Therefore, they will need to purchare 260 gallons.
Claim: Fewer than 94% of adults have a cell phone. In a reputable poll of 1004 adults, 86% said that they have a cell phone. Find the value of the test statistic.
Answer: The value of test statistic = -10.67
Step-by-step explanation:
Test statistic for proportion:
[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]
, where p= population proportion
n= sample size
[tex]\hat{p}[/tex] = sample proportion
AS per given,
p=0.94, n= 1004, [tex]\hat{p}=0.86[/tex]
[tex]z=\dfrac{0.86-0.94}{\sqrt{\dfrac{0.94(1-0.94)}{1004}}}\\\\=\dfrac{-0.08}{\sqrt{\dfrac{0.0564}{1004}}}\\\\=\dfrac{-0.08}{\sqrt{0.0000561752988048}}\\\\=\dfrac{-0.08}{0.00749501826581}\\\\=-10.673756509\approx-10.67[/tex]
i.e. the value of test statistic = -10.67
please i meed help!!! im stuck and cant concentrate
Answer:
A. 8h=m
Step-by-step explanation:
$8* h= total money m earned.
A little help?? It’s trig
Answer:
12 [tex]\pi[/tex] = 37.699 f/s
Actually, the more interesting question
would have been how fast is the ball going in MPH?
25.7 MPH
Step-by-step explanation:
C = 2[tex]\pi r[/tex]
C = 2 [tex]* \pi * 1.2[/tex]
C = 2.4 [tex]\pi feet[/tex]
C (per second) = (5)(2.4 [tex]\pi feet[/tex])
C(per second) = 12 [tex]\pi[/tex] = 37.699 f/s
An RLC series circuit has an applied voltage of 240 volts. R = 48 ohm, XL = 100 ohm, and XC = 36 ohm. What is the circuit impedance (Z)?
9514 1404 393
Answer:
48 +j64 ohms
Step-by-step explanation:
The impedance of a series circuit is the sum ...
R + jXl -jXc
= 48 +j100 -j36
= 48 +j64 . . . . ohms
_____
Additional comment
"j" is the electrical engineer's name for √-1, because "i" is used to represent current.
Suppose z varies directly with x and inversely with the square of y. If z = 16 when x = 4 and y = 1 , what is z when x = 8 and y = 9 ?
Answer:
z = 3.6
Step-by-step explanation:
Given that,
z varies directly with x and inversely with the square of y. We can write it as :
[tex]z\propto \dfrac{x}{y}\\\\z=\dfrac{kx}{y}[/tex]
Where
k is constant
Put z = 16 when x = 4 and y = 1
[tex]16=\dfrac{k\times 4}{1}\\\\k=4[/tex]
Now put k = 4, x = 8 and y = 9
[tex]z=\dfrac{4\times 8}{9}\\\\z=3.6[/tex]
So, the value of z is equal to 3.6.
For the problem I tried dividing but my answers were not correct. How can I solve this problem then? Can someone help me out here please?
Answer:
8
Step-by-step explanation:
5 = 40
1 = x
Then we multiply by the rule of crisscrossing
5 x X = 40 x 1
5x = 40 then divide both by 5
X = 8
Find the value for x
Answer:
[tex]180 - 2x + 180 - 4x + x = 180 \\ 360 - 5x = 180 \\ 180 = 5x \\ x = 36[/tex]
A statistician calculates that 7% of Americans are vegetarians. If the statistician is correct, what is the probability that the proportion of vegetarians in a sample of 403 Americans would differ from the population proportion by more than 3%
Answer:
0.0182 = 1.82% probability that the proportion of vegetarians in a sample of 403 Americans would differ from the population proportion by more than 3%.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
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 p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes 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.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
A statistician calculates that 7% of Americans are vegetarians.
This means that [tex]p = 0.07[/tex]
Sample of 403 Americans
This means that [tex]n = 403[/tex]
Mean and standard deviation:
[tex]\mu = p = 0.07[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.07*0.93}{403}} = 0.0127[/tex]
What is the probability that the proportion of vegetarians in a sample of 403 Americans would differ from the population proportion by more than 3%?
Proportion below 7 - 3 = 4% or above 7 + 3 = 10%. Since the normal distribution is symmetric, these probabilities are equal, which means that we find one of them, and multiply by 2.
Probability the proportion is below 4%
p-value of Z when X = 0.04.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.04 - 0.07}{0.0127}[/tex]
[tex]Z = -2.36[/tex]
[tex]Z = -2.36[/tex] has a p-value of 0.0091
2*0.0091 = 0.0182
0.0182 = 1.82% probability that the proportion of vegetarians in a sample of 403 Americans would differ from the population proportion by more than 3%.
haggle is making fruit basket which include apples and bananas to send to some of her estate clients she wants each basket to have at least 12 pieces of fruit, but the fruit should weigh no more than 80 ounces total. on average each apple weighs 5 ounces and each banana weighs 7 ounces. which system of inequalities can be used to determine the number of apples, x, and banana, y, that battle should include in each basket?
The requirement is fulfilled when 10 bananas and 2 apples are kept in the basket.
The equation can be given as
10y + 2x = 80
Here,
y means 7 ounces (weight of banasas)
x means 5 ounces (weight of apples)
were should i go shopping for fidgets
Answer:
Amazon
Step-by-step explanation: