Answer:
z = -1.66
Step-by-step explanation:
Z-statistic:
[tex]z = \frac{X - p}{s}[/tex]
In which X is the found proportion.
p is the mean proportion.
[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex] is the standard error for the data.
Out of 593 students who replied to her survey, 64 fit this criterion.
This means that [tex]X = \frac{64}{593} = 0.108[/tex]
She finds that the proportion of binge drinkers nationally is 13.1%.
This means that [tex]p = 0.131[/tex]
Also
[tex]s = \sqrt{\frac{0.131*0.869}{593}} = 0.014[/tex]
The z statistic for this data is
[tex]z = \frac{X - p}{s}[/tex]
[tex]z = \frac{0.108 - 0.131}{0.014}[/tex]
[tex]z = -1.66[/tex]
What is 1(y), when y=-7/12?
Answer: -7/12
Step-by-step explanation: an number multiplied by 1 is itself
The weights of beagles have a mean of 25 pounds and a standard deviation of 3 pounds. A random sample of 50 beagles is collected. What is the probability that a sample of this size has a mean weight below 26 pounds?
Answer:
[tex] z =\frac{26-25}{\frac{3}{\sqrt{50}}}= 2.357[/tex]
And we can find the probability using the normal distribution table and we got:
[tex] P(z<2.357) =0.9908[/tex]
Step-by-step explanation:
Let X the random variable of interest and we can find the parameters:
[tex] \mu =25, \sigma= 3[/tex]
And for this case we select a sample size n =50. And since the sample size is higher than 30 we can use the central limit theorem and the distribution for the sample mean would be given by:
[tex] \bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})[/tex]
We want to find the following probability:
[tex] P(\bar X <26)[/tex]
And we can use the z score formula given by:
[tex] z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
And replacing we got:
[tex] z =\frac{26-25}{\frac{3}{\sqrt{50}}}= 2.357[/tex]
And we can find the probability using the normal distribution table and we got:
[tex] P(z<2.357) =0.9908[/tex]
whats the answer ???? help dude
Answer:
C. 44 °
Step-by-step explanation:
Angles on a straight line add up to 180 degrees.
180 - 88 = 92
Angles in a triangle add up to 180 degrees.
y + y + 92 = 180
y + y = 88
2y = 88
y = 88/2
y = 44
Answer:
The answer is 46"
Step-by-step explanation:
A triangle is 180 degrees
so u already know one side
180"-88" is 92
then divide 92 by 2 which is 46
Answer: 46"
3. A photograph is 40 cm long and 20 cm wide. Find its area.
Answer:
Area = 40×20
=800Step-by-step explanation:
30 POINTS IF ANSWERED IN THE NEXT FIVE MINUTES. Ms. Roth has made 200 headbands and is deciding what price to charge for them. She knows that she will sell more if the price is lower. To estimate the number she can expect to sell, she uses the function defined as ()=200−1.5, where is the price in dollars. Which choice describes a function, (), that models the total sales in dollars she can expect?
Answer:
198.5
Step-by-step explanation:
() = 200 - 1.5
() = 198.5
im not sure if this is what you are asking, but i hope it helps
Answer:
S=p(200-1.5)
How to read a ruler?
Answer:
Look at the numbers on the sides. If they are not spaced out very far, it's centimeters. If they are spaced out very far, it's inches
Step-by-step explanation:
this is how you read a ruler
Answer:
Start at 0
Step-by-step explanation:
Start at 0, then see how far the object goes.
Find the perimeter of the following trapezoid:
6 ft
2.5 ft/ 12 ft
2.5 ft
8 ft
Answer:
31ft
Step-by-step explanation:
6 ft + 2.5 ft + 12 ft + 2.5 ft + 8 ft = 31ft
I assumed the slash in the space between 2.5ft and 12ft was an error, so I ignored it in the solution to this problem.
Besides that, perimeter is found by adding all sides of the shape or figure together, and the sum of that is the perimeter.
The basic formula for perimeter is:
base + height + base + height.
I do not think you square perimeter as you do area (e.g. 31ft^2).
If the coefficient of realism alpha equals 1, then the criterion of realism will yield the same result as the maximax criterion.
A. True
B. False
Answer:
True
Step-by-step explanation:
Coefficient of realism called alpha which is a decimal number between 0 and 1. This number provides the optimistic view. The number 1 - [tex]\alpha[/tex] is amount of emphasis that is placed in pessimistic outcome. If the coefficient of realism alpha is 1 then criterion of realism will yield same result as maxi max criterion.
please help me, i will give you brainliest
Answer:
4
Step-by-step explanation:
(segment piece) x (segment piece) = (segment piece) x (segment piece)
JN* NK = LN * NM
3x = 2*6
3x = 12
Divide by 3
3x/3 =12/3
x =4
College students were given three choices of pizza toppings and asked to choose one favorite Results are shown in the table toppings Sremam 15 24 28 28 15 1 11 23 28 cheese meat 23 15 veggie Estimate the probability that a randomly selected student who is a junior or senior prefers veggie. Round the answer to the nearest thousandth
A. 371
B. 220
C. 395
D. 662
Answer:
B. 0.220
Step-by-step explanation:
The table is presented properly below:
[tex]\left|\begin{array}{c|cccc|c}$toppings&$Freshman&$Sophomore&$Junior&$Senior&$Total\\---&---&---&---&---&---\\$Cheese&11&15&24&28&78\\$Meat&23&28&15&11&77\\$Veggie&15&11&23&28&77\\---&---&---&---&---&---\\$Total&&&&&232\end{array}\right|[/tex]
Number of junior students who prefers veggies =23
Number of senior students who prefers veggies =28
Total =23+28=51
Therefore, the probability that a randomly selected student who is a junior or senior prefers veggie
=51/232
=0.220 (to the nearest thousandth)
The correct option is B.
Find an equation of the plane. The plane through the points (0, 7, 7), (7, 0, 7), and (7, 7, 0).
Answer:
x + y + z = 14
Step-by-step explanation:
If the points are designated A, B, C, then ...
AB × AC = (7, -7, 0) × (7, 0, -7) = (49, 49, 49).
That is, a vector perpendicular to the plane is (1, 1, 1), so the equation of the plane can be ...
(1, 1, 1)·(x, y, z) = (1, 1, 1)·A
x + y + z = 14
An automobile manufacturer has given its van a 47.2 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 250 vans, they found a mean MPG of 47.0. Assume the population standard deviation is known to be 1.9. A level of significance of 0.02 will be used.
A. Find the value of the test statistic.
B. State the null and alternative hypotheses.
Answer:
A
The test statistics is [tex]t = -1.7[/tex]
B
The Null and Alternative hypothesis are
[tex]H_o : \mu = 47.2[/tex] and [tex]H_a : \mu \ne 47.2[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 47.2 miles/gallon(MPG)[/tex]
The sample size is [tex]n = 250 \ van[/tex]
The sample mean is [tex]\= x = 47.0[/tex]
The sample standard deviation is [tex]\sigma = 1.9[/tex]
The level of significance is [tex]\alpha = 0.02[/tex]
Given that the value which the manufacturer gave the automobile is 47.2 and it is believed that this is not correct, then
The Null Hypothesis is
[tex]H_o : \mu = 47.2[/tex]
The alternative Hypothesis is
[tex]H_a : \mu \ne 47.2[/tex]
The test statistics can be mathematically evaluated as
[tex]t = \frac{\= x- \mu}{\frac{\sigma }{\sqrt{n} } }[/tex]
substituting values
[tex]t = \frac{\= 47- 47.2}{\frac{1.9 }{\sqrt{250} } }[/tex]
[tex]t = -1.7[/tex]
please answer this question
Answer:
c
Step-by-step explanation:
next
3. Given the polynomial p(x) = x^4 - 2x^3 -7x^2 + 18x – 18 a. Without long division, find the remainder if P is divided by x+1. b. If one zero of P is 1-i, find the remaining zeros of P. c. Write P in factored form.
Answer:
(a) remainder is -40
(b) The remaining zeroes are (x+3) and (x-3)
Step-by-step explanation:
p(x) = x^4 - 2x^3 -7x^2 + 18x – 18
(a) Remainder of P(x) / (x+1) can be found using the remainder theorem, namely
let x + 1 = 0 => x = -1
remainder
= P(-1)
= (-1)^4 - 2(-1)^3 -7(-1)^2 + 18(-1) – 18
= 1 +2 -7-18-18
= -40
remainder is -40
(b)
If one zero is 1-i, then the conjugate 1+i is another zero.
in other words,
(x-1+i) and (x-1-i) are both factors.
whose product = (x^2-2x+2)
Divide p(x) by (x^2-2x+2) gives
p(x) by (x^2-2x+2)
= (x^4 - 2x^3 -7x^2 + 18x – 18) / (x^2-2x+2)
= x^2 -9
= (x+3) * (x-3)
The remaining zeroes are (x+3) and (x-3)
Find the lateral area of a regular square pyramid if the base edges are of length 12 and the perpendicular height is 8.
Answer:
Lateral area of the pyramid = 120 square units
Step-by-step explanation:
In the figure attached,
A pyramid has been given with square base with edges of 12 units and perpendicular height as 8 units.
Lateral area of a pyramid = Area of the lateral sides
Area of one lateral side = [tex]\frac{1}{2}(\text{Base})(\text{Lateral height})[/tex]
= [tex]\frac{1}{2}(\frac{b}{2})(\sqrt{(\frac{b}{2})^2+h^2})[/tex] [Since l = [tex]\sqrt{r^{2}+h^{2}}[/tex]]
= [tex]\frac{1}{2}(6)(\sqrt{6^2+8^2})[/tex]
= [tex]3\sqrt{100}[/tex]
= 30 units²
Now lateral area of the pyramid = 4 × 30 = 120 square units
Answer: 240 units^2
Step-by-step explanation:
LA= 1/2 Pl
P= perimeter of base
l= lateral height
l= 8^2 + (12/2)^2 = 10^2
P= 12 x 4 = 48
48 x 10 = 480
480/2 = 240
240 units^2
what is the answer?!?!??!
Answer:
Option D
Step-by-step explanation:
It forms a linear pair (Angles on a straight line) with one of the interior angles of the triangle.
Answer:
D
Step-by-step explanation:
A linear pair of angles is when two angles add up to 180 degrees on a line.
Interior angles and exterior angles form a linear pair.
If the ratio of red hairbands to green hair bands is 5 to 9 with a total of 70 hairbands, how many of them are green?
Answer:
45
Step-by-step explanation:
This can be written as 5r:9g. Add 5 and 9 to get the total of 14. You can write a ratio of 9 green: (out of) 14 total = x green: (out of) 70 total. Multiply 9 and 14 by 7 to get 45:70. Therefore, if there are 70 hairbands, 45 are green.
Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an answer does not exist, enter DNE.) f(x) = x4 − 8x3 + 7
Answer:
D
Step-by-step explanation:
Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.
n=7, x=3, p=0.65
Answer:
P(X = 3) = 0.1442
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
In this problem we have that:
[tex]n = 7, p = 0.65[/tex]
We have to find P(X = 3).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{7,3}.(0.65)^{3}.(0.35)^{4} = 0.1442[/tex]
A biologist samples and measures the length of the fish in a lake. What is the level of measurement of the data?
Answer:Ratio
Step-by-step explanation:
The ratio data because length has a true zero, and ratios of lengths are meaningful.
This expression gives the solutions to which quadratic equation?
Answer:
Hey there! Your answer would be: [tex]3x^2+4=x[/tex]
The quadratic formula is (-b±√(b²-4ac))/(2a), and helps us find roots to a quadratic equation.
All quadratic equations can be written in the [tex]ax^2+bx+c[/tex] form, and a, b, and c, are numbers we need for the quadratic equation.
Our given quadratic equation is 1±√(-1)²-4(3)(4)/2(3)
We can see that b is -1, as -b is positive 1.
That gives us [tex]ax^2+-1x+c[/tex], which can be simplified to [tex]ax^2-x+c[/tex].
We can see that a is 3, because 2a=6, so a has to be 3.
That gives us [tex]3x^2-x+c[/tex]
Finally, we see that 4 is equal to b, clearly shown in the numerator of this fraction.
Which gives us a final answer of [tex]3x^2-x+4[/tex], or [tex]3x^2+4=x[/tex]
Marko drovev75mile in 1 1/2 hours .how many mile can he he drive in 1 hour
Answer: 50 miles
Step-by-step explanation:
75 miles in one and half hours.
That's 25 miles per half hour
So, in 1 hour, he will drive 50 miles
Find the volume of the solid generated by revolving the region enclosed by the triangle with vertices (1 comma 0 ), (3 comma 2 ), and (1 comma 2 )about the y-axis. Use the washer method to set up the integral that gives the volume of the solid.
Answer: Volume = [tex]\frac{20\pi }{3}[/tex]
Step-by-step explanation: The washer method is a method to determine volume of a solid formed by revolving a region created by any 2 functions about an axis. The general formula for the method will be
V = [tex]\pi \int\limits^a_b {(R(x))^{2} - (r(x))^{2}} \, dx[/tex]
For this case, the region generated by the conditions proposed above is shown in the attachment.
Because it is revolting around the y-axis, the formula will be:
[tex]V=\pi \int\limits^a_b {(R(y))^{2} - (r(y))^{2}} \, dy[/tex]
Since it is given points, first find the function for points (3,2) and (1,0):
m = [tex]\frac{2-0}{3-1}[/tex] = 1
[tex]y-y_{0} = m(x-x_{0})[/tex]
y - 0 = 1(x-1)
y = x - 1
As it is rotating around y:
x = y + 1
This is R(y).
r(y) = 1, the lower limit of the region.
The volume will be calculated as:
[tex]V = \pi \int\limits^2_0 {[(y+1)^{2} - 1^{2}]} \, dy[/tex]
[tex]V = \pi \int\limits^2_0 {y^{2}+2y+1 - 1} \, dy[/tex]
[tex]V=\pi \int\limits^2_0 {y^{2}+2y} \, dy[/tex]
[tex]V=\pi(\frac{y^{3}}{3}+y^{2} )[/tex]
[tex]V=\pi (\frac{2^{3}}{3}+2^{2} - 0)[/tex]
[tex]V=\frac{20\pi }{3}[/tex]
The volume of the region bounded by the points is [tex]\frac{20\pi }{3}[/tex].
3. A tunnel is 300 feet deep and makes an angle of 30° with the ground, as shown below.
30°
300 feet
Tunne
How long is the tunnel?
Answer:
173.20 ft
Step-by-step explanation:
[tex] \tan \: 30 \degree = \frac{length \: of \: tunnel}{depth \: of \: tunnel} \\ \\ \frac{1}{ \sqrt{3} } = \frac{length \: of \: tunnel}{300} \\ \\ length \: of \: tunnel \\ \\ = \frac{300}{ \sqrt{3} } \\ \\ = \frac{300 \sqrt{3} }{3} \\ \\ = 100 \sqrt{3} \\ \\ = 100 \times 1.7320 \\ \\ = 173.20 \: ft[/tex]
If f(x) = 4x – 8 and g(x) = 5x + 6, find (f - g)(x).
Answer:
(f - g)(x) = -x - 14
Step-by-step explanation:
Step 1: Plug in equations
4x - 8 - (5x + 6)
Step 2; Distribute negative
4x - 8 - 5x - 6
Step 3: Combine like terms
-x - 14
Answer:
-x-14
Step-by-step explanation:
Hope this helps
What is the length of Line segment B C?
Answer:
given,
AB= 17
AC= 8
angle BCA =90°
as it is a Right angled triangle ,
taking reference angle BAC
we get,h=AB=17
b=AC=8
p=BC=?
now by the Pythagoras theorem we get,
p=
[tex] \sqrt{h { }^{2} - b {}^{2} } [/tex]
so,p=
[tex] \sqrt{17 {}^{2} - 8 {}^{2} } [/tex]
[tex] = \sqrt{225} [/tex]
=15 is the answer....
hope its wht u r searching for....
help with this I don't know how to solve plz greatly appreciate
Answer:
cos∅ = 16√481/481
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
cos∅ = adjacent/hypotenuse
tan∅ = opposite/adjacent
Step 1: Find hypotenuse
15² + 16² = c²
c = √481
Step 2: Find cos∅
cos∅ = 16/√481
cos∅ = 16√481/481
if 1/u=1/f-1/v is the formula Express f as the subject of the formula
Answer:
[tex]f = \frac{1}{\frac{1}{u}+ \frac{1}{v} }\\[/tex]
Step-by-step explanation:
[tex]1/u=1/f-1/v\\\frac{1}{f} = \frac{1}{u} +\frac{1}{v}\\Divide- both- sides- by; 1\\\frac{1}{f} \div \frac{1}{1} = ( \frac{1}{u} +\frac{1}{v}) \div \frac{1}{1}\\\\f = \frac{1}{\frac{1}{u}+ \frac{1}{v} }[/tex]
(a) Which unit fraction 1/n for n s 50 has the decimal expansion of longest period?
(b) Justify your reasoning
Answer:
0.02
Step-by-step explanation:
If n is 50, 1/n is equivalent to 1/50. 1/50 as a decimal is 0.02.
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 30 meters cubed A sphere with height h and radius r. A cylinder with height h and radius r. What is the volume of the sphere? 10 meters cubed 20 meters cubed 30 meters cubed 40 meters cubed
Answer:
30 m^3
Step-by-step explanation:
Answer:
B. 20m3
Step-by-step explanation:
i dont know if its correct, hope it is tho