Step-by-step explanation:
The Kevin leans 24.58 feet high up the wall does the ladder reach.
We have given that,
Kevin leans a 26-foot ladder against a wall so that it forms an angle of [tex]71^{\circ}[/tex]ground.
and we have to find the high up the wall does the ladder reach.
we have to use the trigonometric ratio.
What is the sine ratio?[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]
So find the height of the wall we have to use the sine ratio suppose the height is x feet
We can see in diagram,
[tex]sin(71)=\frac{x}{26} \\26 sin(71)=x\\x=24.58[/tex]
Therefore,the Kevin leans 24.58 feet high up the wall does the ladder reach.
To learn more about the trigonometric ratio visit:
https://brainly.com/question/24349828
Jasmine ran 5 miles in 42.5 minutes. Caroline ran 3 miles in 26.4 minutes. Who ran at a faster pace?
Answer:
Caroline
Step-by-step explanation:
[tex]\frac{1}{5}: \frac{y}{42.5}[/tex]
y × 5 = 1 × 42.5
5y = 42.5
5y ÷ 5 = 42.5 ÷ 5
y = 8.5
[tex]\frac{1}{3}: \frac{y}{26.4}[/tex]
y × 3 = 1 × 26.4
3y = 26.4
3y ÷ 3 = 26.4 ÷ 3
y = 8.8
8.8 > 8.5
In a Gallup poll, 1025 randomly selected adults were surveyed and 29% of them said that they used the Internet for shopping at least a few times a year. Find a 99% confidence interval estimate of the proportion of adults who use the Internet for shopping.
Answer: (0.25,0.33)
Step-by-step explanation:
A 99% confidence interval for population proportion is given by:-
[tex]\hat{p}\pm 2.576\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex], where [tex]\hat{p}[/tex] = sample proportion, [tex]n[/tex] = sample size.
Given: [tex]n=1025, \hat{p}=0.29[/tex]
A 99% confidence interval estimate of the proportion of adults who use the Internet for shopping:
[tex]0.29\pm 2.576\sqrt{\dfrac{0.29(1-0.29)}{1025}}\\\\=0.29\pm 2.576\sqrt{0.00020087804878}\\\\=0.29\pm2.576(0.01417)\\\\=0.29\pm0.03650192\\\\=(0.29-0.03650192,\ 0.29+0.03650192)\\\\=(0.25349808,\ 0.32650192)[/tex]
[tex]\approx(0.25,\ 0.33)[/tex]
Thus, a 99% confidence interval estimate of the proportion of adults who use the Internet for shopping = (0.25,0.33)
4x + 5y = 12 and 3x + 4y = 9.25 . Solve for systems of equations
Answer:
y=1
x=7/4
Step-by-step explanation:
4x + 5y = 12
3x + 4y = 9.25
4x + 5y = 12
12x + 16y =37
-12x -15 y =-36
12x + 16y =37
y=1
x=7/4
If y = arctan(cosx), then dy/dx
Answer:
sure what are we gonna do
Step-by-step explanation:
Jenn can rake the yard in 4.75 hours. Kathy can do the raking job in 7 hours. How long will it both girls working together?
Answer:
4.75 hour
Step-by-step explanation:
Any help to solve this one?
Answer:
Step-by-step explanation:
[tex]81^{1/2}[/tex]
[tex]3^4*{1/2}[/tex]
[tex]3^{4/2}[/tex]
[tex]3^{2}[/tex]
9
[tex]-16^{3/4}[/tex]
[tex](-2)^{4 *3/4}[/tex]
[tex](-2)^{12/4}[/tex]
[tex](-2)^{3}[/tex]
-8
Help on this question please.
Answer:
a) P = 6x + 13//
b) i) x = 5//
ii) 9//
Step-by-step explanation:
a) P = 2(x+2) + 2(2x-1) + 3 + 8 m
= 2x+4 + 4x-2 + 3 + 8
= 6x + 13//
b) i) P = 43 m
43 = 6x + 13
43-13 = 6x
30 = 6x
6 6
x = 5//
ii) longest side = (2x-1) m
2 × 5 - 1
10-1 = 9//
I don’t know how to explain on why the student was incorrect
Answer:
the constant proportionality means the ratio between two directly proportional quantities.
so the constant proportionality will be 7.5÷6=1.25 or 10÷8=1.25 or 12.5÷10=1.25
constant proportionality should be same all through because it's a constant
determine the missing angle.
The angle at the vertex of a rectangle is 90°
So, it means that,
= ? + 40 = 90
= ? = 90 - 40
= ? = 50
Answer:
50°
Step-by-step explanation:
x = ?°
x + 40° = 90°
x = 90° - 40°
x = 50°
An equilateral triangle has has an era of 43.5 square feet the height is 8.5 feet what is the Perimeter of the triangle
Answer:
30.7 ft
Step-by-step explanation:
An equilateral triangle with area 43.5 has a height of 8.68 not 8.5
I will do the problem as written even though it is not a possible equilateral triangle
---------------------------------------------
a = (1/2)bh
43.5 = (1/2)b(8.5)
43.5 = 4.25b
b = 43.5/4.25
b = 10.2352941176
-----------------------
p = 3b
p = 3 * 10.2352941176
p = 30.7058823528
~ 30.7 ft
Do less Republicans (group A) then Democrats (group B) favor the government investing billions of dollars to improve the country's train system? One thousand Republicans and one thousand Democrats were asked if they favored spending billions to improve the country's train system. How would we write the alternative hypothesis?
A. Ha: pA - pB does not equal 0
B. Ha: pA - pB < 0
C. Ha: pA - pB > 0
D. Ha: pA - pB = 0
Answer:
I don't understand at all
The following data are monthly rents (in dollars) of studio and one-bedroom apartments in Harrisburg, Pennsylvania, in 2007, obtained from a random sample of such apartments advertised at rent.com in July 2007:
500, 549, 569, 575, 585, 600, 630, 680, 705, 790, 845
The mean of these eleven rent prices is $638.91 ,and the standard deviation is $105.93 .
1. Determine the standard error of the sample mean.
2. Describe what the population mean µmeans in this context.
3. Determine a 95% confidence interval for µ.
4. Write a sentence interpreting what this interval means.
5. Would you expect about 95% of the studio and one-bedroom apartments in Harrisburg in July 2007 to have a rent price within this interval? Explain.
Answer:
Part 1
SE= 31.94
Part2;
The population mean tells us that what would be the mean of all the monthly rents (in dollars) of studio and one-bedroom apartments in Harrisburg, Pennsylvania, in 2007.
Part 3:
576.31, 701.51
Part4:
This means that the 95%of the interval 576.31, 701.51 will have contain the value of the population parameter mean u.
Part 5:
Yes. out of 100 , 95 of the intervals will contain the true value of population mean u .
Step-by-step explanation:
Part 1
The standard error is calculated using the formula
SE = S/√n
where s is the standard deviation of the sample = $ 105.93
and n is the sample size= 11
Putting the values we get
SE= $ 105.93/ √11= 31.939
Part2;
The population mean tells us that what would be the mean of all the monthly rents (in dollars) of studio and one-bedroom apartments in Harrisburg, Pennsylvania, in 2007.
Part 3:
The z∝/2 value for 0.05 is ± 1.96
The 95 % confidence interval will be given by
x` ±z ∝/2 * s/√n
Putting the values
638.91 ± 1.96 * 31.94
638.91 ± 62.6006
576.31, 701.51
Part4:
This means that the 95%of the interval 576.31, 701.51 will have contain the value of the population parameter mean u.
Part 5:
Yes when the hypothesis testing is done and the sample mean is found to be equal to the population mean then it means that the population mean is to be found in this interval; 95% .
Or out of 100 , 95 of the intervals will contain the true value of population mean u.
write 0.824 as a fraction in the simplest form
A fast food restaurant just leased a new freezer and food fryer for three years. The service contract for the freezer offers unlimited repairs for a fee of $125 a year plus a $35 service charge for each repair needed. The restaurant's research indicates that during a given year 80% of these freezers need no repairs, 11% needed to be serviced once, 5% twice, 4% three times, and none required more than three repairs. The mean restaurant's annual expense with the service contract for this freezer is ________. Group of answer choices $136.55 $25.20 $122.45 $89.90 $0
Answer:
,mm,nmplata
Step-by-step explanation:
plata
I need to know how to solve this equation
Answer:
D
Step-by-step explanation:
a
--- + 8 = 4
-2.1
a
---- =4 - 8
-2.1
a
--- = -4
-2.1
a= -4 × -2.1
a= 8,4
What angle corresponds to 1/6 of a circle
This exercise involves the formula for the area of a circular sector. The area of a circle is 700 m2. Find the area of a sector of this circle that subtends a central angle of 3 rad.
Answer:
334.4 m²
Step-by-step explanation:
The formula for the area of a sector is given as:
1/2 × r² × θ
Where θ = Central angle
Area of a Circle = 700 m²
The formula for the area of a circle = πr²
r = Radius of a circle
r² = Area / π
r = √Area / π
r = √700/π
r = 14.927053304 m
Approximately, r = 14.93 m
Therefore, the area of the sector
= 1/2 × r² × θ
= 1/2 × 14.93² × 3 rad
= 334.35735 m²
Approximately, Area of the sector = 334.4 m²
If f(x)=2x+3 and g(x)= x^2-8find (f+g (x)
[tex] \large \boxed{(f + g)(x) = f(x) + g(x)}[/tex]
Use the following property above to find the value. Substitute f(x) and g(x) in.
[tex] \large{(2x + 3) + ( {x}^{2} - 8)} \\ \large{2x + 3 + {x}^{2} - 8}[/tex]
Evaluate/Combine like terms.
[tex] \large{2x + {x}^{2} - 5}[/tex]
This step is optional but it's the best to arrange the degree.
[tex] \large{ {x}^{2} + 2x - 5} \\ \large{(f + g)(x) = {x}^{2} + 2x - 5}[/tex]
Answer
(f+g)(x) = x²+2x-5Let me know if you have any doubts!
The Sugar Sweet Company is going to transport its sugar to market. It will cost $3375 to rent trucks, and it will cost an additional $125 for each ton of sugar transported. Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S, and then graph your equation using the axes below.
Answer:
C = 125S + $3750
Step-by-step explanation:
$ 3750 = truck rental; $125 per ton of sugar transported. C is the cost; S is the number of tons transported. The equation relating C to S would be a linear equation like y = mx + b. This equation would be graphed in the first quadrant only. You would start with your y-intercept at (0, 3750). As x increases by 1, your y increases by 125 yielding these points:
(1, 3875) (2, 4000) (3, 4125) etc.
This shows that for each increase by one ton of sugar, the cost goes up $125
what is 1 6/9 +5 9/7
[tex]\longrightarrow{\green{7 \frac{20}{21}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]1 \frac{6}{9} + 5 \frac{9}{7} \\ \\ = \frac{15}{9} + \frac{44}{7} \\ \\ = \frac{15 \times 7}{9 \times 7} + \frac{44 \times 9}{7 \times 9} \\ \\ = \frac{105 + 396}{63} \\ \\ = \frac{501}{63} \\ \\ = \frac{167}{21} \\ \\ = 7 \frac{20}{21} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
The results of a common standardized test used in psychology research is designed so that the population mean is 155 and the standard deviation is 40. A subject earns a score of 247. What is the z-score for this raw score
Answer: a carrot
Step-by-step explanation:
Two letters from the word HAPPY are randomly chosen with replacement. What is the probability of choosing an H or P on either selection?
answer in decimal
Answer:
0.5 I believe
Step-by-step explanation:
Point Q is the midpoint of GH¯¯¯¯¯¯. GQ=2x+3, and GH=5x−5 .
What is the length of GQ¯¯¯¯¯?
Answer:
[tex]GQ =25[/tex] --- GoTV
Step-by-step explanation:
Given
[tex]GQ = 2x + 3[/tex]
[tex]GH= 5x - 5[/tex]
Required
Find GQ
Since Q is the midpoint, then:
[tex]GH = 2 * GQ[/tex]
This gives:
[tex]5x - 5 = 2[2x+3][/tex]
Open bracket
[tex]5x - 5 = 4x+6[/tex]
Collect like terms
[tex]5x - 4x = 5+6[/tex]
[tex]x =11[/tex]
We have:
[tex]GQ =2x+3[/tex]
This gives:
[tex]GQ =2*11+3[/tex]
[tex]GQ =25[/tex]
What is the vertex of the absolute value function below?
Answer:
(-3,2)
Step-by-step explanation: The bottom most point of the graph is 3 back from 0 and 2 up from 0
How many quarts of pure antifreeze must be added to 8 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution
Let q be the number of quarts of pure antifreeze that needs to be added to get the desired solution.
8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.
The new solution would have a total volume of 8 + q quarts, and it would contain a total amount of 3.2 + q quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means
(3.2 + q) / (8 + q) = 0.60
Solve for q :
3.2 + q = 0.60 (8 + q)
3.2 + q = 4.8 + 0.6q
0.4q = 1.6
q = 4
Whats the order of rotational symmetry for brainlest
Answer:
1Step-by-step explanation:
A circle has rotation symmetry around the center for every angle. A circle has an unlimited number of angles of symmetry and the order of its rotation is infinite.
Write an equation for the area with the length of x+10 and width 2x+5
Answer:
A = (x+10) (2x+5)
A= 2[tex]x^{2}[/tex]+25x+50
Step-by-step explanation:
What is the solution to the equation blow?
x + 6 = 24
What addition statement does this show? A. 5.2 + 6.4 = –11.6 B. –5.2 + 6.4 = –11.6 C. 5.2 + (–6.4) = –11.6 D. –5.2 + (–6.4) = –11.6
Answer:
A
Step-by-step explanation:
Plz help me solve this
