Answer:
It will cost $1751.4
Step-by-step explanation:
First you need to find the number of sq feet.
27 x 30 = 810
810 sq feet is equivalent 90 sq yards.
The price price sq yard is 19.46
90 x 19.46 = 1751.4
have a nice day!
41% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, and (c) less than four.
Answer:
a) 0.2087 = 20.82% probability that the number of U.S. adults who have very little confidence in newspapers is exactly five.
b) 0.1834 = 18.34% probability that the number of U.S. adults who have very little confidence in newspapers is at least six.
c) 0.3575 = 35.75% probability that the number of U.S. adults who have very little confidence in newspapers is less than four.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they have very little confidence in newspapers, or they do not. The answers of each adult are independent, which means that the binomial probability distribution is used to solve this question.
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.
41% of U.S. adults have very little confidence in newspapers.
This means that [tex]p = 0.41[/tex]
You randomly select 10 U.S. adults.
This means that [tex]n = 10[/tex]
(a) exactly five
This is [tex]P(X = 5)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{10,5}.(0.41)^{5}.(0.59)^{5} = 0.2087[/tex]
0.2087 = 20.82% probability that the number of U.S. adults who have very little confidence in newspapers is exactly five.
(b) at least six
This is:
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{10,6}.(0.41)^{6}.(0.59)^{4} = 0.1209[/tex]
[tex]P(X = 7) = C_{10,7}.(0.41)^{7}.(0.59)^{3} = 0.0480[/tex]
[tex]P(X = 8) = C_{10,8}.(0.41)^{8}.(0.59)^{2} = 0.0125[/tex]
[tex]P(X = 9) = C_{10,9}.(0.41)^{9}.(0.59)^{1} = 0.0019[/tex]
[tex]P(X = 10) = C_{10,10}.(0.41)^{10}.(0.59)^{0} = 0.0001[/tex]
Then
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.1209 + 0.0480 + 0.0125 + 0.0019 + 0.0001 = 0.1834[/tex]
0.1834 = 18.34% probability that the number of U.S. adults who have very little confidence in newspapers is at least six.
(c) less than four.
This is:
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{10,0}.(0.41)^{0}.(0.59)^{10} = 0.0051[/tex]
[tex]P(X = 1) = C_{10,1}.(0.41)^{1}.(0.59)^{9} = 0.0355[/tex]
[tex]P(X = 2) = C_{10,2}.(0.41)^{2}.(0.59)^{8} = 0.1111[/tex]
[tex]P(X = 3) = C_{10,3}.(0.41)^{3}.(0.59)^{7} = 0.2058[/tex]
So
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0051 + 0.0355 + 0.1111 + 0.2058 = 0.3575[/tex]
0.3575 = 35.75% probability that the number of U.S. adults who have very little confidence in newspapers is less than four.
Kelly owns a donut shop she wants to determine if she should add iced coffee to her menu. She gives a survey to the first 10 morning customers that come into her shop for the week
Question 20 of 25
The houses on a city block were thought to be valued at $172,000, $164,000,
$142,000, $159,000, $191,000, $124,000, and $146,000, respectively. But a
public assessor has determined that the value of each house is actually
$20,000 higher than previously thought. According to the public assessor,
what is the median value of the houses?
A. $166,000
B. $146,000
C. $179,000
D. $159,000
SU
Answer:
Median = $179,000
Step-by-step explanation:
Given prices of the houses :
$172,000 , $164,000 , $142,000 , $159,000 , $191,000 , $124,000 , $146,000
Arrange the data in ascending order :
$124,000 , $142,000 , $146,000 , $159,000, $164,000 , $172,000, $191,000
Prices according to the public assessor :
$144,000 , $162,000 , $166,000 , $179,000 , $184,000, $192,000, $211,000
Median is the middle value in the data : $179,000
PLZZZ HELP ✨✨✨ ILL MARK BRAINIEST TYSMMM
Answer:
3
Step-by-step explanation:
She walked 4 days and 3/4 mile per day
To find the total distance, multiply the days by the number of miles per day
4 * 3/4 = 3 miles
Answer:
c 3
Step-by-step explanation:
3/4×4/1=3 u welcomeeeeeee
how to write the fraction 7/100 as a decimal
Answer:
0.07
Step-by-step explanation:
It's 7/100. There are two zeros so you move the decimal place to the left two times. Or you can just put the seven in the hundreths place.
A planet rotates through one complete revolution every 26 hours. Since the axis of rotation is perpendicular to the equator, you can think of a person standing on the equator as standing on the edge of a disc that is rotating through one complete revolution every 26 hours. Find the angular velocity of a person standing on the equator.
Answer:
23.5 degree stands tap of the floor
Find the area of a circular pool whose radius is 2 meter.
Answer:
3.1416 square meters
Step-by-step explanation:
brainliest me pls
help !!!!!!!!!!!!!!!!!!!!
Answer:
I think it's a square or maybe a rhombus?
Step-by-step explanation:
Arnold bought 5 1/2 yds of lumber and uses 3 ft 8 inches to build a bird house. How many
inches of lumber is left.
A) 1.7 inches
B) 154 inches
C) 162 inches
Answer:
A) 1.7 inches of lumber is left.
I will mark the brainliest 500 points
Answer:
50.3
Step-by-step explanation:
Answer:
50.3
Step-by-step explanation:
I know this because im smaart
please help me do this i need it
Answer:
(x+1)(3x+2) is the answer
Answer:
Step-by-step explanation:
3x^2+5x+2
3x^2+(3+2)x+2
3x^2+3x+2x+2
3x(x+1)+2(x+1)
(3x+2)(x+1)
Which of the following shows the correct order?
5497,0.75,
0{}=c075 <
° 0,75–1.2
(23<3<0,75
Answer:
The last one, (1/2)^2 < 2/3 < 0.75
Step-by-step explanation:
So lets try to put each number in the same form, and see what their values are.
Lets start with (1/2)^2
This is squaring the 1 and 2 in 1/2. 1^2 is 1. 2^2 is 4. So its now:
1/4
Lets look at the others:
2/3
Lets just give it a common denominator. To do this, lets find the lowest number that both 3(from 2/3) and 4(from 1/4) go into. This is also known as the LCM.
This will be 12.
Since 3(from 2/3) goes into 12 4 times, we multipy both numerator and denominator of 2/3 by 4:
4*2=8, 3*4=12:
8/12
Since 4(from 1/4) goes into 12 3 times, we multiply both the numerator and denominator by 3:
1*3=3, 4*3=12:
3/12
So lets just go over what we know so far:
(1/2)^2 = 3/12
2/3 = 8/12
Now lets find our last value:
0.75
When converted into fraction form, we will get:
3/4
We already have a LCM, which is 12, that goes into this.
The denominator goes into 12 3 times, so again, we multiply numerator and denominator in this:
3*3=9, 4*3=12:
9/12
So:
(1/2)^2 = 3/12, 2/3 = 8/12, and 0.75 = 9/12
3/12 is smaller than 8/12, and 8/12 is smaller than 9/12. This can be written as:
3/12 < 8/12 < 9/12
And this basically means that:
(1/2)^2 < 2/3 < 0.75
This is the last answer in your answer list.
Hope this helps!
Which of the following best describes the relationship between (x - 2) and the
polynomial 2x3 + x2-3?
Answer:
If (x - 2) is a factor of 2x³ + x² - 3 then for the value of x = 2 the polynomial is equal zero.
Substitute:
2 · 2³ + 2² - 3 = 2 · 8 + 4 - 3 = 16 + 4 - 3 = 17 ≠ 0
Answer: B) (x - 2) is not a factor.
12. *
12. The Earth is estimated to be 4,540,000,000
years old. What is the Earth's age in scientific
notation?
a) 4.54 x 10°
b) 4.54 x 10-14
c) 4.54 x 1011
d) 4.54 x 1010
A
С
D
Please help
Answer:
4.54 x 1010
Hope this helps!
Which system of equations has no solution?
Answer:
Step-by-step explanation:
Step-by-step explanation:
I think it's C.not sure if it's correct
Một công ty có đại lý bán sản phẩm trên toàn
quốc, để tìm hiểu tình hình tiêu thụ trong một
tuần lễ sau một đợt quảng cáo, ta có số liệu sau:
2,7
2,9
3,1
3,2
3,4
3,7
Doanh 2,7
số (tr)
Sổ đại lý
8
15
20
30
15
12
Answer:
PooooppooooooooppooooooooppoopoooooooooppStep-by-step explanation:
Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.9 years with a standard deviation of 0.9 years. Step 1 of 2 : If a sampling distribution is created using samples of the ages at which 69 children begin reading, what would be the mean of the sampling distribution of sample means
Answer:
5.9 years.
Step-by-step explanation:
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]
In this question:
Mean of the population is [tex]\mu = 5.9[/tex]
If a sampling distribution is created using samples of the ages at which 69 children begin reading, what would be the mean of the sampling distribution of sample means?
By the Central Limit Theorem, the same population mean, of 5.9 years.
the lengths of two sides of a triangle are 2x-5 and x+3. If the perimeter of the triangle is 4x-1, what is the length of the third side in terms of x?
Answer:
[tex]x-9[/tex]
Step-by-step explanation:
[tex]side_1=2x+5\\side_2=x+3\\side_3=\phi\\perimeter=\displaystyle\sum_{i=1}^3side_i=(2x+5)+(x+3)+\phi=4x-1\\\phi=4x-1-x-3-5-2x=x-9[/tex]
The length of the third side in terms of x is x+1.
What is the perimeter of the triangle?The perimeter of a triangle is the sum of all its three sides.
We can work out the perimeter using the following formula:
The perimeter of a triangle is = sum of all three sides.
The length of the third side in terms of x is given by;
[tex]\rm Perimeter \ of \ triangle = Side \ a + Side \ b + Side \ c[/tex]
Substitute all the values in the formula
[tex]\rm Perimeter \ of \ triangle = Side \ a + Side \ b + Side \ c\\\\4x-1=2x-5+x+3+Side \ c\\\\4x-1=3x-2+Side \ c\\\\Side \ c=4x-3x-1+2\\\\Side \ c=x+1[/tex]
Hence, the length of the third side in terms of x is x+1.
Learn more about triangles here;
https://brainly.com/question/22850643
#SPJ2
HELP QUICK!!!! PLEASE!
Answer:
Linear function
[tex]y = \frac{x}{2} - 5[/tex]Step-by-step explanation:
[tex]y = \frac{x}{2} - 5[/tex]Linear functionA linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 1.
[tex]y = \frac{2}{x} + 3[/tex]Not linear functionA linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1
, the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.
[tex]y = {2}^{x} - 1[/tex]Not linear functionA linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.
[tex]y = {x}^{2} + 7[/tex]Not linear functionA linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 2.
Hope it is helpful...24. Ninety-four percent of NCSU transfers feel that their college adequately prepared them to handle upper-division coursework at their transfer university. We randomly survey 14 NCSU transfers. We are interested in the number that feel that their college adequately prepared them to handle upper division coursework at their transfer university. Find the probability that more than half felt that they were prepa
Answer:
The answer is "[tex]0.99999340657 \sim 1[/tex]".
Step-by-step explanation:
[tex]Sucess \ probability \ (p) = 94\% \ or\ 0.94\\\\Sample\ numbers\ n = 14\\[/tex]
Using formula:
[tex]P(X=r)= ^n C_r \times p^r \times (1-p)^{n-r}[/tex]
Let
[tex]\to r=8,9,10,11,12,13 \ or\ 14\\\\[/tex]
Substituting the value for all r:
[tex]P(X=8)= 0.00008540547\\\\P(X=9)= 0.00089201264\\\\P(X=10)= 0.00698743233\\\\P(X=11)= 0.03980719025\\\\P(X=12)= 0.15591149513\\\\P(X=13)= 0.37578668058\\\\P(X=14)= 0.42052319017\\[/tex]
Therefore,
[tex]P(X>7)= P(X=8)+P(X=9)+....P(X=14)\\\\= 0.99999340657 \sim 1.[/tex]
Frank's gas tank is 1/5 full. After he buys 13 gallons of gas, it is 7/10 full. How many gallons can Frank's tank hold?
Answer:
26 gallons
Step-by-step explanation:
7/10 - 1/5 = 7/10 - 2/10 = 5/10 = 1/2
1/2x = 13
x = 26
Consider polynomials P and Q.
P= 8y4 + 6y3 +8y
Q= (5y2 - 4y) (3y2 + 7)
Which operation results in an expression equivalent to 23y4 - 6y3 + 35y2 - 20y?
A. PQ
B. P +Q
C. Q - P
D. P - Q
Which is the lower rate?
44 people in 4 theaters or 100 people in 10 theaters
Answer:
100 in 10 theaters. 100÷10=10 44÷4=11
Can someone help me please
Given:
The figure of a right angle triangle with legs a and 7, and hypotenuse c.
The measure of angle opposite to leg 7 is 30^\circ.
To find:
All the missing measures for the triangle.
Solution:
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,
[tex]30^\circ+90^\circ+\text{Missing angle}=180^\circ[/tex]
[tex]120^\circ+\text{Missing angle}=180^\circ[/tex]
[tex]\text{Missing angle}=180^\circ-120^\circ[/tex]
[tex]\text{Missing angle}=60^\circ[/tex]
In a right angle triangle ,
[tex]\sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin (30^\circ)=\dfrac{7}{c}[/tex]
[tex]\dfrac{1}{2}=\dfrac{7}{c}[/tex]
[tex]c=7\times 2[/tex]
[tex]c=14[/tex]
In a right angle triangle,
[tex]\tan \theta =\dfrac{Perpendicular}{Base}[/tex]
[tex]\tan (30^\circ)=\dfrac{7}{a}[/tex]
[tex]\dfrac{1}{\sqrt{3}}=\dfrac{7}{a}[/tex]
[tex]a=7\times \sqrt{3}[/tex]
[tex]a=7\sqrt{3}[/tex]
Therefore, the measure of the missing angle is 60 degrees. Side "a" has a length of 14 units and side "c" has a length of [tex]7\sqrt{3}[/tex] units.
Write an equivalent expression for 3x + 21
Write the equation in slope intercept form given
the
point and the slope
m=-4 & (-1, 3)
Answer:
Step-by-step explanation:
if a straight line with a slop [tex]m[/tex] pass through point [tex]P(x_o, y_o)[/tex] it's equation is:
[tex]y-y_o=m(x-x_o)\\\\y-(3)=-4(x-(-1))[/tex]
[tex]y=-4x-4+3\\\\y=-4x-1[/tex]
Complete the transformations below.
Then enter the final coordinates of the figure.
A
(2,4)
B
A” ([?], [])
15,2) B" ([], [])
C" ([], 1)
C(3,1)
1) <-3, -2>
2) Dilate K = 4
Enter
will give brainliest
Answer:
[tex]A(2,4)<-3,-2)A'(-1,2)>A''(-4,8)[/tex]
[tex]B)(5,2)-> B'(2,0)->B''(8,0)[/tex]
[tex]C(3,1)->C'(0,-1)->C''(0,-4)[/tex]
[tex](x,y)->(x-3,y-2)->([(x-3)*4],[(y-2)*4])[/tex]
-------------------------hope it helps...have a great day!!Can someone please help me?
Answer:
A
Step-by-step explanation:
it takes 45 hours to plant 100 trees, so his rate is 100/45 trees per hour.
and it takes rose 40 hrs to plant the 100 trees, so her rate is 100/40 trees per hour
So add those together to get (100/45+100/40)
and then multiply them by P(which is in hours) to equal 100
(100/45+100/40)p=100
then divide by 100 both sides to get
p/45+p/40=1
Find the surface area of the prism.
7 mm
4 mm
5 mm
Answer:
Since there are 2 sides, a front & back, and a top & bottom, you must find the surface area of each of those 3 surfaces and multiply by 2.
Step-by-step explanation:
The formula would be:
Top & Bottom - 5 × 4 (multiply by 2 for top AND bottom)
Front & Back - 5 × 7 (multiply by 2 for front AND back)
Sides - 4 × 7 (multiply by 2 for BOTH sides)
___________________________________________________
Once you find the 3 surface areas, add the areas all together for the total. (I did not show the answer because that is for you to do on your own.)
Ex. Top & Bottom + Front & Back + Sides
Answer:
166 is the answer.
A store offers different brands of a product. It decides to eliminate the brand
that is most likely to be returned. The table shows the number of items of
each brand that were returned over the past year and the total sold
Answer:
Brand A
Step-by-step explanation:
Because it has the most returns, therefore, it is the brand that is most likely to be returned.
Answer: Brand B
Step-by-step explanation:
use ratios for each brand to find the probability of each being returned