Answer:
3 mi of fencing would be required to enclose this field.
Step-by-step explanation:
Here we are finding the perimeter of a field with given length and width. We apply the perimeter formula P = 2L + 2W. Substituting the given dimensions, we get:
P = 2(1 mi) + 2(0.5 mi), or
P = 2 mi + 1 mi = 3 mi
3 mi of fencing would be required to enclose this field.
Answer:
15840 feet of fencing = Perimeter = 15840ft
However, if fencing is 6ft or 10ft we need to divide by the length of each fence for panels.
See bold.
Step-by-step explanation:
6ft fencing = 5280/6 = 880 fences one length
880 x 2 = 1760 6ft fences 2 sides
0.5 x 1760 = 880
1760+ 880 = 2640 fences each 6ft
Total feet of fence = 2640 x 6 =15840 feet of fencing
Express the function H in the form f ∘ g. (Enter your answers as a comma-separated list. Use non-identity functions forf(x) and g(x).)H(x) = |1 − x3|
Answer:
We know that:
H(x) = |1 - x^3|
and:
We want to write H(x) as f( g(x) ) , such that for two functions:
So we want to find two functions f(x) and g(x) such that:
f( g(x) ) = |1 - x^3|
Where neither of these functions can be an identity function.
Let's define g(x) as:
g(x) = x^3 + 2
And f(x) as:
f(x) = | A - x|
Where A can be a real number, we need to find the value of A.
Then:
f(g(x)) = |A - g(x)|
and remember that g(x) = x^3 + 2
then:
f(g(x)) = |A - g(x)| = |A - x^3 - 2|
And this must be equal to:
|A - x^3 - 2| = |1 - x^3|
Then:
A = 3
The functions are then:
f(x) = | 3 - x|
g(x) = x^3 + 2
And H(x) = f( g(x) )
URGENT!!!
Three friends, Cleopatra, Dalila, and ebony fo shopping. The money they have each is in the ratio
Cleopatra : Dalila : Ebony =
5 : 7 : 8
A) How many dollars do they have in total?
B) Dalila spends 12$ on a hat, how many dollars does she have left?
A)they have 20 dollar's in total
b)she is left with -12 dollar's
Explanation
total money = 5 + 7 + 8
= 20
Money Dalila had = 7 dollars
Money she spent = 12 dollars
money she is left with = 7 - 12 dollars
= -5 dollars
In the year 2000, the average car had a fuel economy of 22.6 MPG. You are curious as to whether the average in the present day is less than the historical value. What are the appropriate hypotheses for this test
Answer:
The appropriate null hypothesis is [tex]H_0: \mu = 22.6[/tex]
The appropriate alternative hypothesis is [tex]H_1: \mu < 22.6[/tex]
Step-by-step explanation:
The average car had a fuel economy of 22.6 MPG. Test if the current average is less than this.
At the null hypothesis, we test if the current average is still of 22.6 MPG, that is:
[tex]H_0: \mu = 22.6[/tex]
At the alternative hypothesis, we test if the current mean has decreased, that is, if it is less than 22.6 MPG. So
[tex]H_1: \mu < 22.6[/tex]
Derive the equation of the parabola with a focus at (0, 1) and a directrix of y = -1.
Answer:
The equation of the parabola is y = x²/4
Step-by-step explanation:
The given focus of the parabola = (0, 1)
The directrix of the parabola is y = -1
A form of the equation of a parabola is presented as follows;
(x - h)² = 4·p·(y - k)
We note that the equation of the directrix is y = k - p
The focus = (h, k + p)
Therefore, by comparison, we have;
k + p = 1...(1)
k - p = -1...(2)
h = 0...(3)
Adding equation (1) to equation (2) gives;
On the left hand side of the addition, we have;
k + p + (k - p) = k + k + p - p = 2·k
On the right hand side of the addition, we have;
1 + -1 = 0
Equating both sides, gives;
2·k = 0
∴ k = 0/2 = 0
From equation (1)
k + p = 0 + 1 = 1
∴ p = 1
Plugging in the values of the variables, 'h', 'k', and 'p' into the equation of the parabola, (x - h)² = 4·p·(y - k), gives;
(x - 0)² = 4 × 1 × (y - 0)
∴ x² = 4·y
The general form of the equation of the parabola, y = a·x² + b·x + c, is therefore;
y = x²/4.
pls i need this one n i pass the class pls pls help me
9514 1404 393
Answer:
x = 5
Step-by-step explanation:
The two triangles are similar by the ASA theorem. The ratio of long side to short side in each right triangle is the same:
x/3 = 7.5/4.5
x = 3(7.5/4.5) . . . . multiply by 3
x = 5
What is the quotient when (-12x9 + 3x7 + 24x6) is divided by 6x?
According to the national association of home builders the mean price of an existing single family home in 2018 was $395,000. A real estate broker believes that existing home prices in her neighborhood are lower.
Answer:
[tex]H_o:\mu = 395000[/tex]
[tex]H_a:\mu < 395000[/tex]
Step-by-step explanation:
Given
[tex]\mu = 395000[/tex] -- mean price
Required
Determine the null and alternate hypotheses
From the question, we understand that the mean price is:
[tex]\mu = 395000[/tex]
This represents the null hypothesis
[tex]H_o:\mu = 395000[/tex]
The belief that the home prices are lower represents the alternate hypothesis
Lower means less than
So, the alternate hypothesis is:
[tex]H_a:\mu < 395000[/tex]
nd interest for a loan
To pay for an $18,900 truck, Joe made a down payment of $3600 and took out a loan for the rest. On the loan, he paid monthly payments of $338.67 for 4
years.
Answer: He will pay this amount, with interest, over a 4-year period payment that he must make After paying 20% as a down payment, they finance the Determine the monthly payments needed to amortize the loan and months, that payments can be made under each of the following options before the money runs out.
Step-by-step explanation:
While eating your yummy pizza, you observe that the number of customers arriving to the pizza station follows a Poisson distribution with a rate of 18 customers per hour. What is the probability that more than 4 customers arrive in a 10 minute interval
Answer:
0.1848 = 18.48% probability that more than 4 customers arrive in a 10 minute interval.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Rate of 18 customers per hour.
This is [tex]\mu = 18n[/tex], in which n is the number of hours.
10 minute interval:
An hour has 60 minutes, so this means that [tex]n = \frac{10}{60} = \frac{1}{6}[/tex], and thus [tex]\mu = 18\frac{1}{6} = 3[/tex]
What is the probability that more than 4 customers arrive in a 10 minute interval?
This is:
[tex]P(X > 4) = 1 - P(X \leq 4)[/tex]
In which:
[tex]P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex]
Then
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498[/tex]
[tex]P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494[/tex]
[tex]P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240[/tex]
[tex]P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240[/tex]
[tex]P(X = 4) = \frac{e^{-3}*3^{4}}{(4)!} = 0.1680[/tex]
[tex]P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex] = 0.0498 + 0.1494 + 0.2240 + 0.2240 + 0.1680 = 0.8152[/tex]
And
[tex]P(X > 4) = 1 - P(X \leq 4) = 1 - 0.8152 = 0.1848[/tex]
0.1848 = 18.48% probability that more than 4 customers arrive in a 10 minute interval.
Sadie and Connor both play soccer. Connor scored 2 times as many goals as Sadie. Together they scored 9 goals. Could Sadie have scored 4 goals? Why or why not?
Answer:
no
the goal total would be too high
Step-by-step explanation: If Sadie had scored 4 goals, Connor would have scored 2 times 4 = 8 goals. Their goal total would then be 4+8 = 12, not 9. Sadie cannot have scored 4 goals.
__
If we let s represent the number of goals Sadie scored, then 2s is the number Connor scored. Their total is ...
s + 2s = 9
3s = 9 . . . . . . collect terms
s = 9/3 = 3 . . . divide by the coefficient of s
Sadie scored 3 goals. (s=4 is not the solution to the problem)
Mark the angles and sides of each pair of triangles to indicate that they are congruent. NO LINKS!!!
=========================================================
Explanation:
The order of the lettering is important because the order tells us how the letters pair up.
For DCB and CDJ, we have D and C as the first letters. So that means angle D and angle C are congruent between the triangles. I've marked this in red. The other angles are handled the same way.
The congruences for the segments are then built up from the angles.
Express it in slop-intercept form
Answer:
y = ½x -3
Step-by-step explanation:
_____________________
how can i solve the following
2(x + 3) = x - 4
Answer:
x=-10
Step-by-step explanation:
2(x+3)=x-4
2*x+2*3=x-4
2x+6=x-4
2x-x=-4-6
x=-10
Answer:
[tex]x = - 10[/tex]
Step-by-step explanation:
Let's solve:
[tex]2(x+3)=x−4[/tex]
Step 1: Simplify both sides of the equation.
[tex]2(x+3)=x−4 \\ (2)(x)+(2)(3)=x+−4(Distribute) \\ 2x+6=x+−4 \\ 2x+6=x−4[/tex]
Step 2: Subtract x from both sides.
[tex]2x+6−x=x−4−x \\ x+6=−4[/tex]
Step 3: Subtract 6 from both sides.
[tex]x+6−6=−4−6 \\ x=−10[/tex]
Helpp please… due at 12:00
Answer:alternate exterior angles
Step-by-step explanation:
Since they’re on the outside of the parallel lines that makes them exterior
(2104ft)(1 yd/3 ft)(1 football field/100 yds
9514 1404 393
Answer:
7 1/75 football fields
Step-by-step explanation:
Multiply it out. The units of feet and yards cancel, leaving football fields.
= (2104·1·1)/(3·100) football fields ≈ 7.0133... football fields
= 7 1/75 football fields
Determine the value of x.
1) 14.75
2)15.25
3)11.92
4)18.56
I will give BRAINLIEST to whoever answers correctly first!!!
Sophie wants to buy a pair of scissors that cost $1.82. If she gives the cashier a five dollar bill, how
much change should she get back?
Answer:
Sophie will get $3.18 back in change.
Step-by-step explanation:
You do 5.00-1.82 and you get 3.18, which is equal to the change that Sophie will get.
Consider the following two functions: f(x) = -.25x+4 and g(x)= .5x-1. State:
a. The y-intercept, x-intercept and slope of f(x)
b. The y-intercept, x-intercept and slope of g(x)
c. Determine the point of intersection. State your method used.
Answer:
f(x)= -25x+4
y-inter x=0
y= -25(0)+4
=4
x-inter y=0
0= -25x+4
-4= -25x
x=4/25
15 POINTS! PLEASE HELP! BRAINLIEST!
What is the probability of flipping a coin 15 times and getting heads 6 times? Round your answer to the nearest tenth of a percent. O A. 19.6% O B. 9.2% O C. 4.2% O D. 15.3% SUBMIT
Answer:
D. 15.3%Step-by-step explanation:
Total number of outcomes:
2¹⁵ = 32768Number of combinations of getting 6 heads:
15C6 = 15!/6!(15-6)! = 5005Required probability is:
P(6 heads out of 15 flips) = 5005/32768 = 0.1527... ≈ 15.3%Correct choice is D
Answer:
option D
Step-by-step explanation:
Total sample space
= [tex]2^{15}[/tex]
Number of ways 6 heads can emerge in 15 flips
= [tex]15C_6[/tex]
Probability:
[tex]=\frac{15C_6}{2^{15}}[/tex] [tex]= 0.1527[/tex]
Probability to the nearest percent : 15.3%
14.
Find the domain of
x ¹ -2 / x + 1
Answer:
?????????????????????????
The following set of data represents the ages of the women who won the Academy Award for Best Actress from 1980 - 2003:
31 74 33 49 38 61 21 41 26 80 42 29
33 35 45 49 39 34 26 25 33 35 35 28
Make frequency table using # of classes as per the following criteria:
i) if you are born in Jan, Feb, Mar: No of classes = 5
ii) if you are born in Apr, May, Jun: No of classes = 6
Answer:
Step-by-step explanation:
Given the data :
Using 6 classes :
Class interval ____ Frequency
21 - 30 _________ 6
31 - 40 _________ 10
41 - 50 _________ 5
51 - 60 _________ 0
61 - 70 _________ 1
71 - 80 _________ 2
Please help meeeeeee!!
Find x so that m || n. Show your work.
Solution:-Since m || n, 4x – 23 = 2x + 17 by the Converse of alternate exterior angles theorem.
Solve for x.
[tex]\sf{4x-23=2x+17}[/tex]
[tex]\sf{4x-2x-23=2x-2x+17}[/tex]
[tex]\sf{2x-23=17}[/tex]
[tex]\sf{2x-23+23=17+23}[/tex]
[tex]\sf{2x=40}[/tex]
[tex]\sf{\frac{2x}{2}={\frac{40}{2}}}[/tex]
[tex]\sf{x={\color{magenta}{20}}}[/tex]
========================#Hope it helps!
(ノ^_^)ノ
A density graph is used to find the probability of a discrete random variable
taking on a range of values.
A. True
B. False
Answer:
False
Step-by-step explanation:
This is false because A density graph is not used to find the probability of a discrete random variable taking on a range of values. This is because you have to use a calculations instead of a graph. The correct how to calculate is: Determine a single event with a single outcome. Identify the total number of outcomes that can occur. Divide the number of events by the number of possible outcomes.
Therefore, it's B ( false).
The work shows how to use long division to find (x2 + 3x –9) ÷ (x – 2).
Answer:
x+5+\frac{1}{x-2}
X + 5 + 1/( x - 2)
Step-by-step explanation:
I would recomend using Symbolab to help you understand math like this in an easy step-by-step manner. It will take a while to explain so you can see how to solve these problems through that!
A manufacturer claims that the mean lifetime,u , of its light bulbs is 51 months. The standard deviation of these lifetimes is 7 months. Sixty bulbs are selected at random, and their mean lifetime is found to be 53 months. Can we conclude, at the 0.1 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 51 months?
Perform a two-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. (If necessary, consult a list of formulas.)
the null hypothesis:
The alternative hypotehsis:
The type of test statistic (choose Z, t, Chi-square, or F)
The value of the test statistic (round to at least three decimal places:
Can we conclude that the mean lifetime of the bulbs made by this manufacture differ from 51 months?
Answer:
We reject H₀, and conclude thet the mean lifetime of the bulbs differ from 51 month
Step-by-step explanation:
Manufacturing process under control must produce items that follow a normal distribution.
Manufacturer information:
μ = 51 months mean lifetime
σ = 7 months standard deviation
Sample Information:
x = 51 months
n = 60
Confidence Interval = 90 %
Then significance level α = 10 % α = 0.1 α/2 = 0,05
Since it is a manufacturing process the distribution is a normal distribution, and with n = 60 we should use a Z test on two tails.
Then from z- table z(c) for α = 0,05 is z(c) = 1.64
Hypothesis Test:
Null Hypothesis H₀ x = μ
Alternative Hypothesis Hₐ x ≠ μ
To calculate z statistics z(s)
z(s) = ( x - μ ) / σ /√n
z(s) = ( 53 - 51 ) / 7 /√60
z(s) = 2 * 7.746 / 7
z(s) = 2.213
Comparing z(s) and z(c)
z(s) > z(c) then z(s) is in the rejection region
We reject H₀, and conclude thet the mean lifetime of the bulbs differ from 51 month
A shipping carton is in the shape of a triangular prism. The base area of the triangle is 6 inches squared and the the height of the prism is 15 inches. how many cubic inches of space are in the carton?
51
Step-by-step explanation:
uajdnensjdkalsnnamakksls
PLS HELP ASAP !!! PLSSS !!
Answer:
74
Step-by-step explanation:
the lines r parallel and the angle on the same side
Answer:
74°
Step-by-step explanation:
..........................
Chris was given 1/3 of the 84 cookies in the cookie jar. He ate 3/4 of the cookies that he was given. How many cookies did Chris eat?
Answer:
21 cookies
Step-by-step explanation:
First we know that Chris was given a third of 84 cookies so we can start working on this problem by figuring out what a third of 84 is. We can do this by multiplying 84 by 1/3 or just dividing by 3, which gives us: 84/3 = 28
So now we know that Chris was given 28 cookies, we can figure out what 3/4 of that is to work out how many cookies he ate. 28 x (3/4) = 21 cookies.
Chris ate 21 cookies.
Hope this helped!
Answer:
21 cookies
Step-by-step explanation:
1/3 × 84 = 28
3/4 × 28 = 21
explain why triangles in the figure are similar. then find the missing length x
Answer:
∨∨∨∨see below∨∨∨∨∨∨
Step-by-step explanation: 6 26 18 13
The two outside angles are congruent. The two inside angles are supplemental thus they are equal. The last two angles the high one and the lower one must sum to 180° in their respective triangles so they are equal since their similar angles are equal.
find x
4 is to x as 5 is to 7.5
4/x = 5/7.5 solve for x
4 × 7.5 / 5 = x
30 / 5 = x
6 = x
if △ABC = △DEF, which side is congruent to EF?
A. AB
B. BC
C. AC
Answer:
BC
Step-by-step explanation:
BECAUSE BC IT'S EQUAL TO EF
Answer:
B. BC
Step-by-step explanation:
By SSS rule in ∆ ABC and DEF,
AB = DEBC = EFCA = FD