Answer:
around 2.31
Step-by-step explanation:
because you will get 2.307 if you put it in a calculator then you can round it to 2.31
look at the screenshot
Answer:
37 is the answer for the first one because 600-45=555/15=37 and 270-15=255/15=17 for the second one.
The scores at a golf course recorded last year followed a normal distribution with mean 78 and
standard deviation 11. you choose an srs of 15 scores and calculate xbar = mean score. which of
the following are the mean and standard deviation of the sampling distribution of x bar?
Using the Central Limit Theorem, it is found that the mean of the sampling distribution is of 78 and the standard deviation is of 2.84.
What does the Central Limit Theorem state?It states 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].
In this problem, for the population, we have that [tex]\mu = 78, \sigma = 11[/tex].
Then, considering samples of n = 15, we have that the standard deviation is given by:
[tex]s = \frac{11}{\sqrt{15}} = 2.84[/tex].
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NEED ANSWERS QUICKLY! CORRECT ONE GETS BRAINLIEST
Write a mixed number between 5 and 6, and then write its reciprocal.
Answer: 11/2
Reciprocal: 2/11
Step-by-step explanation: 11/2 is 5.5 (between 5 and 6) the reciprocal or 11/2 is 2/11
What is the area of rectangle PQRS?
The area of a rectangle is l*w. We have the length as 4.5 in and we can find the width by doing 3+2+4.5 = 9.5 in.
Then, we multiply them. 4.5*9.5 = 42.75 inches²
Jessica’s credit card is on a 30-day billing cycle, and it computes finance charges using the adjusted balance method. the following table details jessica’s use of her credit card in the month of october. date amount ($) transaction 10/1 1,240.55 beginning balance 10/2 36.43 purchase 10/10 75.00 payment 10/13 131.79 payment 10/20 41.52 purchase 10/22 25.00 purchase what is jessica’s adjusted balance for october? a. $1,136.71 b. $1,033.76 c. $1,140.55 d. $1,240.55
Jessica’s adjusted balance for October with 3 purchases and 2 payments comes to be $1136.71.
What is the adjusted balance method?In this method payment done by the borrower in between the month is adjusted in the final balance on which interest is to be levied.
Details of transactions for the month of October are given as:
Date Transaction/amount Details
10/1 $1,240.55 beginning balance
10/2 $36.43 purchase
10/10 $75.00 payment
10/13 $131.79 payment
10/20 $41.52 purchase
10/22 $25.00 purchase
Total balance at the end of October
= 1240.55+36.43-75-131.79+41.52-25
Total balance at the end of October =$1136.71
Therefore, Jessica’s adjusted balance for October is $1136.71.
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Answer: b.) 1,033.76
Step-by-step explanation:
Select the expression that represents the following problem: A glass hols 1/4 liter of liquid. How many glasses of liquid are in 5 liters
1 glass..........1/4 liter
n glass.......... 5 liters
n = 1 x 5 : 1/4
n = 5 x 4
so there are 20 glasses
why does no one love me
Sometimes we start to lose faith, in those moments we think that no one loves us when they do, they care about us too. It's just your head messing with you. It's like saying "I'm depressed" but you're really not. it's just that you keep saying is that your brain starts believing it. Most of the time it's you losing faith. Which is completely normal and everyone in their life will once feel that way. That's why people often decide to end life way too soon. They don't know it's only going to last some time. It's going to be hard of course but it will soon have to come to an end, and when it does you will feel free and you will be able to enjoy life the way you are supposed to.
hope that helps.
What is 2+2 I think it’s still 2 but I am not sure yet
Answer:
it actually equals 5
Step-by-step explanation:
the reason it equals 5, is because there are 5 variables in there, so because of the addition sign, it becomes 1+1+1+1+1=5. you cannot prove me wrong.
Answer:
the correct answer is 4
Step-by-step explanation:
2 + 2 = 4
hope this helps
have an awesome day -TJ :)
wich one' is the right answer need help
Answer:
C
Step-by-step explanation:
because density equal all the rest
(2)•(4.5)=? Fill in the missing number in the equation
Answer:
9
Step-by-step explanation:
twice the value of 4.5 equals 9
I need help please….
Answer:
C. 7/20
Step-by-step explanation:
There are 20 arrival times on the table.
7 of those twenty are before 8:20.
p(before 8:20) = 7/20
Answer: C. 7/20
What is the volume of a sphere with a radius of 3 m, rounded to the nearest tenth
[tex]\rightarrow[/tex]Radius(r) of sphere = 3m
To Find:-[tex]\rightarrow[/tex] Volume of the sphere.
Formula Used:-[tex]\rightarrow[/tex]Volume of sphere = [tex]\sf{\frac{4}{3}πr^3}[/tex]
Solution:-[tex]\rightarrow[/tex]Volume of sphere = [tex]\sf{\frac{4}{3}πr^3}[/tex](putting the value of r(radius) from the above given and pie(π) = [tex]\sf{\frac{22}{7}}[/tex])
[tex]\rightarrow[/tex][tex]\sf{=\frac{4}{3}×\frac{22}{7}×3^3}[/tex]
[tex]\rightarrow[/tex][tex]\sf{=\frac{4}{3}×\frac{22}{7}×27}[/tex]
[tex]\rightarrow[/tex][tex]\sf{=\frac{2,376}{21}}[/tex]
[tex]\rightarrow[/tex][tex]\sf{=113.14m^3}[/tex]
Therefore, the volume of the sphere [tex]\sf{=113.14m^3}[/tex], which can be rounded off to it's nearest tenth as [tex]\sf{113.1m^3}[/tex]
____________________________________
Hope it helps you:)
Given the polar coordinates (4,-pi/3) which of the following rectangular coordinate pairs represents the same point?
a) (-2,2sqrt3)
b) (2,-2sqrt3)
c) (2sqrt3,-2)
d) (2sqrt3, 2)
The rectangular point that represents (4, - pi/3) is the one in option b: (2, -2√3).
How to change the coordinates?
For a point (x, y), the polar coordinates are:
R = √(x^2 + y^2)θ = atan(y/x).Then we must have:
R = 4 = √(x^2 + y^2)
Notice that for all the given points we have the radius equal to 4, so the only part that we care is the angle one:
-pi/3 = Atan(y/x)
tan(-pi/3) = y/x = -1.73
So, y and x must have different signs, and because the angle is negative, we will say that the y-component must be negative.
So the correct option will be b: (2, -2√3)
y/x = -2*√3/2 = √3 = -1.73
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Answer: Quiz answer Unit 4 lesson 6
all answers are right
Step-by-step explanation:
1.) Given the polar coordinates (4,-pi3)which of the following rectangular coordinate pairs represents the same point?
Answer is B: (2,-2sqrt3)
2.) Given the rectangular coordinates (-5 5) which of the following polar coordinate pairs in, radians, represent the same points?
the correct option is D. (5√2,3π4)
3.)Rewrite in rectangular form: r=8 sin theta -2 cos theta.
Answer:
The equation in rectangular form is:
4.)Rewrite in polar form: x^2+y^2-6y-8=0
the Answer is B. r^2=6r sin 0+8
5.)The graph of r=-9 cos theta has which of the following characteristics?
Answer:
"circle; diameter of 9; center at (-4.5,0)"
6.)Which conic section is represented by the polar equation r=1/4-6 cos theta?
Answer:
Option 2 - Hyperbola
7.)Identify the horizontal and vertical intercepts of the limaçon represented by the equation r=7+3 cos theta ?
Answer:
vertical intercepts: (7, pi/2) and (-7, pi/2)
horizontal intercepts: (10,0) and (-4,0)
8.) Classify the limaçon represented by the equation r=1/2-1/2 sin theta.
A. Cardioid
9.)Write the equation for the graph of the rose curve.
answer C: r=9 sin 4 theta
10.) Write the equation for the graph of the lemniscate.
answer D: r^2=-49 sin 2theta
(pls don't report for me not explain it took a lot of time typing this and im just trying to help people have less stress on their shoulders :p )
How many feet are in 1 yard?
Answer:
Step-by-step explanation:
there are 3 feet in a yard
1 foot = 12 inches
3 feet = 36 inches
36/12 = 3 feet
A manager of a grocery store wants to determine if consumers are spending more than the national average. The national average is $150. 00 with a standard deviation of $30. 20. The manager collects 40 random receipts and finds that the average is $160. Complete a hypothesis test with a significance level of 2. 5% to determine if the average customer spends more in his store than the national average. Which of the following is a valid conclusion for the manager based on this test? The customers spend more than the national average in his store. The manager should decrease prices in his store. The customers do not spend more than the national average in his store. The customers in his store just come from a rich neighborhood.
The valid conclusions for the manager based on the considered test is given by: Option
When do we perform one sample z-test?One sample z-test is performed if the sample size is large enough (n > 30) and we want to know if the sample comes from the specific population.
For this case, we're specified that:
Population mean = [tex]\mu[/tex] = $150Population standard deviation = [tex]\sigma[/tex] = $30.20Sample mean = [tex]\overline{x}[/tex] = $160Sample size = n = 40 > 30Level of significance = [tex]\alpha[/tex] = 2.5% = 0.025We want to determine if the average customer spends more in his store than the national average.Forming hypotheses:
Null Hypothesis: Nullifies what we're trying to determine. Assumes that the average customer doesn't spend more in the store than the national average. Symbolically, we get: [tex]H_0: \mu_0 \leq \mu = 150[/tex]Alternate hypothesis: Assumes that customer spends more in his store than the national average. Symbolically [tex]H_1: \mu_0 > \mu = 150[/tex]where [tex]\mu_0[/tex] is the hypothesized population mean of the money his customer spends in his store.
The z-test statistic we get is:
[tex]z = \dfrac{\overline{x} - \mu_0}{\sigma/\sqrt{n}} = \dfrac{160 - 150}{30.20/\sqrt{40}} \approx 2.094[/tex]
The test is single tailed, (right tailed).
The critical value of z at level of significance 0.025 is 1.96
Since we've got 2.904 > 1.96, so we reject the null hypothesis.
(as for right tailed test, we reject null hypothesis if the test statistic is > critical value).
Thus, we accept the alternate hypothesis that customer spends more in his store than the national average.
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Answer:
A
Step-by-step explanation:
A flat-bottomed ice cream waffle cup is shaped like a 72 mm tall cone with a 42 mm diameter opening at the top, but with the bottom 24 mm of the cone replaced by a flat waffle bottom with a 14 mm diameter. to the nearest square millimeter, what area of waffle does the cone have?
a.) 4002
b.)4398
c.)4552
d.)4157
The area of waffle in the cone is the amount of space covered by the waffle
The cone has 5630 square millimeter of waffle
How to determine the surface area?
The surface area of a cone is calculated using:
A = πr * (r+[tex]\sqrt{[/tex](h^2 + r^2))
For the complete 72 mm tall cone, we have:
Height (h) = 72 mm
Radius (r) = 42 mm/2 = 21 mm
So, the surface area is:
A = πr * (r+[tex]\sqrt{[/tex](h^2 + r^2))
A = 3.142 * 21 * (21+[tex]\sqrt{[/tex](72^2 + 21^2))
Evaluate
A = 3.142 * 21 * (21+75)
A = 6334.272
When the cone is cut at the top, we have:
Height (h) = 24 mm
Radius (r) = 14 mm/2 = 7 mm
So, the surface area is:
A = πr * (r+[tex]\sqrt{[/tex](h^2 + r^2))
A = 3.142 * 7 * (7+[tex]\sqrt{[/tex](24^2 + 7^2))
Evaluate
A = 3.142 * 7 * (7 + 25)
A = 703.808
Calculate the difference (d) between the areas
d = 6334.272 - 2.5*703.808
Evaluate
d = 5630.464
Approximate
d = 5630
Hence, the cone has 5630 square millimeter of waffle
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An office decreases paper waste by
35%. Originally the office produces
w pounds of waste.
Part A
reads forx nights? Which expression represents the
waste reduction?
A. w - 35
B. 1.35w
C. 0.35w
D. w-0.35w
Part B
How much paper waste do they
produce now, if they originally
produced 8 pounds per month?
The expression that represents waste reduction is w - 0.35x.
The paper waste produced now is 5.2 pounds per month.
What is the expression that represents waste production?The exression that represents waste production is the total amount of waste generated less athe reduction in waste.
w - 0.35x
Waste now produced = 8 - 0.35 x 8 = 5.2 pounds
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If 12 workers can dig a tunnel in 100 days, how long will it take 20 workers to dig the tunnel
Answer:
60 days.
Step-by-step explanation:
This is a proportion question. You compare two ratios. Unfortunately it is an inverse ratio.
12 = k/100 Multiply both sides by 100
1200 = k
20 = k/x Multiply both sides by x
20x = k
20x = 1200 Divide by 20
20x/20 = 1200/20
x = 60 days.
An inverse proportion works by making a constant k. The constant k makes the days shorter when the number of people increases. You should expect that. More people , less time.
If the probability that a person lives in an industrialized country of the world is 1/5 find
the probability that a person does not live in an industrialized country
Answer:
4/5
Step-by-step explanation:
5/5 - 1/5 = 4/5 is the probability that a person does not live in an industrialized country
The P( person does not lives in an industrialized country ) = 4/5
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
P( person lives in an industrialized country ) = 1/5
Now, using the Completement probability
P ( person lives in an industrialized country ) + P( person does not lives in an industrialized country ) = 1
P( person does not lives in an industrialized country )
= 1- P ( person lives in an industrialized country )
P( person does not lives in an industrialized country )
= 1- 1/5
= 4/5
Hence, P( person does not lives in an industrialized country ) = 4/5.
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A college student takes out a $ 7,500 loan from a bank. What will the balance of the loan be after one year (assuming the student has not made any payments yet): a. if the bank charges 3.8% interest each year? b. if the bank charges 5.3% interest each year?
Answer:
Substitute P=7500, r=0.053 and t=1 in equation (1). Therefore, the balance of the loan be after one year is $7897.5
math student55 or dino please help
1. since A^2= 36x^2, a=?
2. since b^2= 49, b=?
Answer:
a = ±6x
b = ±7
Step-by-step explanation:
1.
a² = 36x²
a = ±√(36x²)
a = ±6x
2.
b² = 49
b = ±√(49)
b = ±7
what is the area of this triangle?
Can anyone help?! Its for geometry. Please show your work and the answer for x
What is m ZLMN?
OA) 40°
OB)
B) 60°
OC) 75°
OD) 80°
Answer:
A
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
100° is an exterior angle of Δ MLN , then
∠ LMN + 60° = 100° ( subtract 60° from both sides )
∠ LMN = 40°
please me please pls
the line passes through the point ( - 8 ; - 2)
so f(-8) = - 2
The function P(x) is mapped to I(x) by a dilation in the following graph.
Which answer gives the correct transformation of P(x) to get to I(x)?
The correct transformation of P(x) to get I(x) is I(x) = 2P(x)
What is transformation?
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
From the graph of I(x) and P(x), we can see that:
I(x) = 2P(x)
The correct transformation of P(x) to get I(x) is I(x) = 2P(x)
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Determine the intercepts of the line.
Do not round your answers.
Y=5x-13
Answer:
y intercept:(0,-13)
x intercept: (13/5,0)
Step-by-step explanation:
The way we find intercepts (both x and y) is to plug in zero.
x int:
We set y to 0:
0=5x-13
add thirteen to both sides
13=5x
x=13/5
y int:
set x to zero
y=5(0)-13
y= - 13
Select the correct answer.
which function is continuous across its domain?
Answer:
B
Step-by-step explanation:
please help if you are good at maths
on the image.
Answer:
x=74
Step-by-step explanation:
if angle ABE = 148. then, angle EBC = 32
and for angle ECB an BEC,
180-32 = 148
148/2 = 74
so, angle ECB and angle BEC = 74
we know, angle BCE and angle CEF are equal because they are alternate angles
so, x = 74
In a certain area of a large city, it is hypothesized that 40 percent of the houses are in a dilapidated condition. A random sample of 75 houses from this section and 90 houses from another section yielded a difference of 0.09. If there is no difference between the two areas in the proportion of dilapidated houses, what is the probability of observing a difference this large or larger?
Using the normal distribution and the central limit theorem, it is found that there is a 0.24 = 24% probability of observing a difference this large or larger.
Normal Probability DistributionIn 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, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].When two variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.In this problem, for each sample, the mean and standard error are given by:
[tex]\mu_I = 0.4, s_I = \sqrt{\frac{0.4(0.6)}{75}} = 0.0566[/tex]
[tex]\mu_{II} = 0.4, s_{II} = \sqrt{\frac{0.4(0.6)}{90}} = 0.0516[/tex]
Hence, for the distribution of differences, the mean and the standard error are given by:
[tex]\mu = \mu_I - \mu_{II} = 0.4 - 0.4 = 0[/tex]
[tex]s = \sqrt{s_I^2 + s_{II}^2} = \sqrt{0.0566^2 + 0.0516^2} = 0.0766[/tex]
The probability of observing a difference this large or larger is given by P(|Z| > Zx), in which Zx is the z-score when X = 0.0766. Hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.09 - 0}{0.0766}[/tex]
Z = 1.175.
Hence the probability is P(|Z| > 1.175), which is 2 multiplied by the p-value of Z = -1.175. Then:
2 x 0.12 = 0.24.
0.24 = 24% probability of observing a difference this large or larger.
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