Answer:
12.
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
i did it and got it right on ed.
A building lot in a city is shaped as a 30°-60°-90° triangle, like the figure shown. The side opposite the 30° angle measures 41 feet.
a. Find the length of the side of the lot opposite the 60° angle.
Show how you know.
b. Find the length of the hypotenuse of the triangular lot.
Show how you know.
Answer: a) 71.01408311ft
b)82ft
Step-by-step explanation: Definition of 30-60-90 degree triangle, "a right triangle in which the angle measure 30-60-90 degrees. The hypotenuse is twice the shorted leg and the longer leg is square root of 3 times longer than the shorter."
a) x √3 = 41 √3 = 71.01408311
b) 2x = 2(41) = 82 ft
The R.D. Wilson Company makes a soft drink dispensing machine that allows customers to get soft drinks from the machine in a cup with ice. When the machine is running properly, the average number of fluid ounces in the cup should be 14. Periodically the machines need to be tested to make sure that they have not gone out of adjustment. To do this, six cups are filled by the machine and a technician carefully measures the volume in each cup. In one such test, the following data were observed:_______.
14.25 13.7 14.02
14.13 13.99 14.0
Based on these sample data,which of the following is true if the significance level is .05?
A) No conclusion can be reached about the status of the machine based on a sample size of only six cups.
B) The null hypothesis cannot be rejected since the test statistic is approximately t = .29,which is not in the rejection region.
C) The null hypothesis can be rejected since the sample mean is greater than 14.
D) The null can be rejected because the majority of the sample values exceed 14.
Answer:
The null hypothesis cannot be rejected since the test statistic is approximately t = .20,which is not in the rejection region.
Step-by-step explanation:
Data: 14.25, 13.7, 14.02, 14.13, 13.99, 14.0
Mean = [tex]\frac{Sum}{n}=14.015[/tex]
Standard deviation =[tex]\sqrt{\frac{\sum(x-\bar{x})^2}{n}}=0.1836[/tex]
Claim : Average number of fluid ounces in the cup should be 14.
Null hypothesis : [tex]H_0:\mu = 14[/tex]
Alternate hypothesis :[tex]H_a:\mu \neq 14[/tex]
n = 6
[tex]t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}\\t=\frac{14.015-14}{\frac{0.1836}{\sqrt{6}}}\\t=0.20\\\alpha = 0.05t_{df,\alpha}=t_{(5,0.05)}=2.571[/tex]
t critical > t calculated
So, we failed to reject null hypothesis
So, Option B is true
Hence The null hypothesis cannot be rejected since the test statistic is approximately t = .20,which is not in the rejection region.
Two angles form a linear pair. The measure of one angle is 6 less then the measure of the other angle. Find the measure of each angle
Answer: one angle would be 50 degrees while the other would be 130 degrees.
Step-by-step explanation:
The length of a rectangle is three times the width of the rectangle. The area of the rectangle is 48cm2. Draw the rectangle on the centimetre grid.
Answer:
The width is 4 cm
The length is 12 cm.
Step-by-step explanation:
Area of a rectangle
Given a rectangle of width W and length L, its area is calculated as follows:
[tex]A=W\cdot L[/tex]
The area of the given rectangle is 48 cm^2, and the length is three times the width, thus:
L = 3W
Substituting into the formula of the area:
[tex]W\cdot L=48[/tex]
[tex]W\cdot 3W=48[/tex]
Simplifying:
[tex]3W^2=48[/tex]
Solving:
[tex]W^2=48/3=16[/tex]
[tex]W=\sqrt{16}=4[/tex]
The width is 4 cm. Find the length:
L=3W=3*4= 12
The length is 12 cm.
The image attached shows the rectangle on the centimeter grid
what is the rate of change for the liner relationship modeled in the table?
i'm sorry wheres the picture?
7n - 8n - 323
????????????
Answer:
−n−323
Step-by-step explanation:
I need to solve for n.
I will give brainliest :D
Which equation matches this scenario?
A family buys 8 tickets to a show. They also pay a $5
parking fee. They spend $61 to see the show.
• 5x+8=61
• 61+8x=5
• 8+5x=61
• 8x+5=61
Answer: 8x + 5= 61
Step-by-step explanation: x represents the cost of one ticket for the show, 8 is the amount of tickets, 5 is the extra fee, 61 is the total.
Enter the equivalent distance in km in the box.
1 km = 1000 m
1 m = 100 cm
35,000 cm =
km
Answer:
0.350 km
Step-by-step explanation:
Hi there !
35000 cm = 35000/100 m = 350 m
350 m = 350/1000 km = 0.350 km
Good luck !
Rob lost 24 lounds in 6 months of his diet, then lost 16 pounds in 2 months. Find his average weight lost.
Answer:
4 pounds a month
Step-by-step explanation:
is that what you're looking for
The average weight lost per month is 5 pounds.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Given that,
Rob lost 24 pounds in 6 months of his diet, then lost 16 pounds in 2 months.
Total weight lost = 24 + 16 = 40 pounds
Total time taken to lose the weight = 6 + 2 = 8 months
Average weight lost = Total weight / Total time
= 40 / 8
= 5
Hence there is a weight of 5 pounds lost per month.
To learn more about Division, click on the link given below :
https://brainly.com/question/21416852
#SPJ2
is this a equation or expression 4r+3=12
Answer:
Equation
Step-by-step explanation:
Because there is only one unknown term in it
I hope it helps
Thank U
34(8x – 6) – 2 = 12 – x
Answer:
sorry for my handwriting
i think this is the correct answer
convert 565900 seconds into days
Answer:
1 day = 86400 seconds
565900 divided by 86400 =
Step-by-step explanation:
a little more than 6 days
plz mark brainliest
Labor costs. Labor costs for a farmer are $55 per acre for corn and $45 per acre for soybeans. How many acres of each crop should the farmer plant if he wants to spend no more than $6,900 on labor?
Answer:
392984
Step-by-step explanation:
Question 9 What are the disadvantages of using a histogram instead of a dot plot?
Answer:
A histogram shows the frequencies of data in different intervals. So, you cannot read individual values off a histogram alone. With a detailed enough dot plot, you could get very close to the actual team payrolls for each league. A histogram does not give this precision.
Step-by-step explanation:
Plato sample answer
show that: (1-sin x)/(cos x)=(sec x - tan x)
This is the step-by-step explanation
A system of equations is shown:
2x = -y + 6
--4x + 3y = 8
What is the solution to this system of equations?
0 (-1,-4)
O (1.4)
(4, 1)
(-4,-1)
[tex]\large\underline{\bf \red{Step \:by\: Step \:Explanation:}}[/tex]
Given two equations are :
2x = - y + 6.-4 x + 3y = 8 .We may write them as ,
2x + y - 6 = 0 .................(i) 4x - 3y + 8 = 0 ...............(ii)Multiplying equⁿ (i) by 2 :
⇒ 2(2x + y - 6 ) = 0.
⇒ 4x + 2y - 12 = 0 .....................(iii) .
Subtract equⁿ (ii) from equⁿ (iii) :-
⇒ 4x + 2y - 12 = 0
ㅤ- 4x + 3y - 8 = 0 [ Sign changes ]
__________________
⇒ 5y - 20 = 0.ㅤㅤㅤㅤㅤ
⇒ 5y = 20.
⇒ y = 20/5.
⇒ y = 4
Put this value in (i) to obtain x .
⇒ 2x + y - 6 = 0.
⇒ 2x +4 - 6 = 0.
⇒ 2x - 2 = 0.
⇒2x = 2 .
⇒ x = 2/2.
⇒ x = 1 .
Hence the value of x is 1 & y is 4.
[tex]\boxed{\purple{\bf\pink{\dag}\:Hence\:the\: correct\: option\:is\:[b]\:(1,4)}}[/tex]
Use a factor rainbow to determine if 729 is a perfect square. Explain your reasoning.
Answer:
729 is a perfect square
Step-by-step explanation:
because 27 * 27 = 729
More on Linear Equations & Linear Systems: Question 1
How many solutions does the system of equations below
have?
y - 2x + 2
y-r-1
Select one:
none
infinitely many
O o o o
one
two
Answer:
21
Step-by-step explanation:
Fifteen more than three times a number is the same as ten less than six times
the number. What is the number?
Answer:
The number: x
Step-by-step explanation:
15+3x = 6x-10
3x = 25
Answer:
40
Step-by-step explanation:
15 + 3x = 6x - 10
15 + 10 = 6x - 3x
25 = 3x
25/3 = x
To check
15 + 3(25/3) = 6(25/3) - 10
15 + 25 = 50 - 10
40 = 40
A polling company reported that % of surveyed adults said that Complete parts (a) through (d) below.
a. What is the exact value that is 37% of 1018?
b. Could the result from part (a) be the actual number of adults who said that Why or why not?
1. No, the result from part (a) could not be the actual number of adults who said that because that is a very rare opinion.
2. No, the result from part (a) could not be the actual number of adults who said that because a count of people must result in a whole number.
3. Yes, the result from part (a) could be the actual number of adults who said that because the polling numbers are accurate.
4. Yes, the result from part (a) could be the actual number of adults who said that because the results are statistically significant.
c. What could be the actual number of adults who said that The actual number of adults with this opinion could be 296. (Type an integer or a decimal.)
d. Among the 1018 respondents, 415 said that cellular phones are not at all harmful. What percentage of respondents said that cellular phones are not at all harmful?
Answer:
a) 376.66
b) Option 2: No, the result from part (a) could not be the actual number of adults who said that rising gas prices are "quite annoying" because a count of people must result in a whole.
c) 377
d) 40.77%
Step-by-step explanation:
a) 37% of 1018 is;
37/100 × 1018 = 376.66
b) Thus, the result in a above is not a whole number. Thus;
No, the result from part (a) could not be the actual number of adults who said that rising gas prices are "quite annoying" because a count of people must result in a whole.
c) from a above a, we got a value of 376.66.
Now the actual number would be preferably an integer. Thus, actual number is approximately 377.
d) percentage of respondents said that cellular phones are not at all harmful = 415/1018 × 100% = 40.77%
sub to astronaut gaming i have 27 or 28 subs if you need help finding i will help
A lot contains 12 items, and 4 are defective. If three items are drawn at random from the lot, what is the probability they are not
defective?
Answer:
ur nan
Step-by-step explanation:
6 TH grade math
On a hot day, Myra poured 4 1/8 buckets of water into a plastic wading pool. A few minutes later she added another 3 5/8 buckets. How much water did Myra pour into the pool?
Answer:
7 3/4
Step-by-step explanation:
4 1/8 + 3 5/8
Add the whole numbers, 4 + 3 = 7.
Add the fractions, 1/8 + 5/8 = 6/8.
You get 7 6/8. Simplify 6/8 to get 3/4.
Your answer is 7 3/4.
bernie spends three hours a day on homework. if the spends 3/4 of an hour on science, 3/4 of an hour on social studies, and 1/4 of an hour on english, how much time does bernie spend on math
Answer:
Step-by-step explanation:
Math = 3 - Science - social studies - english
Math = 3 - 3/4 - 3/4 - 1/4
Math = 3 - 1 3/4
Math = 3 - 1.75
Math = 1.25 or 1 1/4
please help!!!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
By solving (x+6)(x-9), we get x^2 - 3x - 54. By looking at our y-intercept, we can see that only option A has the correct intercept.
Answer:
A
Step-by-step explanation:
in exercises 15-20 find the vector component of u along a and the vecomponent of u orthogonal to a u=(2,1,1,2) a=(4,-4,2,-2)
Answer:
The component of [tex]\vec u[/tex] orthogonal to [tex]\vec a[/tex] is [tex]\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)[/tex].
Step-by-step explanation:
Let [tex]\vec u[/tex] and [tex]\vec a[/tex], from Linear Algebra we get that component of [tex]\vec u[/tex] parallel to [tex]\vec a[/tex] by using this formula:
[tex]\vec u_{\parallel \,\vec a} = \frac{\vec u \bullet\vec a}{\|\vec a\|^{2}} \cdot \vec a[/tex] (Eq. 1)
Where [tex]\|\vec a\|[/tex] is the norm of [tex]\vec a[/tex], which is equal to [tex]\|\vec a\| = \sqrt{\vec a\bullet \vec a}[/tex]. (Eq. 2)
If we know that [tex]\vec u =(2,1,1,2)[/tex] and [tex]\vec a=(4,-4,2,-2)[/tex], then we get that vector component of [tex]\vec u[/tex] parallel to [tex]\vec a[/tex] is:
[tex]\vec u_{\parallel\,\vec a} = \left[\frac{(2)\cdot (4)+(1)\cdot (-4)+(1)\cdot (2)+(2)\cdot (-2)}{4^{2}+(-4)^{2}+2^{2}+(-2)^{2}} \right]\cdot (4,-4,2,-2)[/tex]
[tex]\vec u_{\parallel\,\vec a} =\frac{1}{20}\cdot (4,-4,2,-2)[/tex]
[tex]\vec u_{\parallel\,\vec a} =\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)[/tex]
Lastly, we find the vector component of [tex]\vec u[/tex] orthogonal to [tex]\vec a[/tex] by applying this vector sum identity:
[tex]\vec u_{\perp\,\vec a} = \vec u - \vec u_{\parallel\,\vec a}[/tex] (Eq. 3)
If we get that [tex]\vec u =(2,1,1,2)[/tex] and [tex]\vec u_{\parallel\,\vec a} =\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)[/tex], the vector component of [tex]\vec u[/tex] is:
[tex]\vec u_{\perp\,\vec a} = (2,1,1,2)-\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)[/tex]
[tex]\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)[/tex]
The component of [tex]\vec u[/tex] orthogonal to [tex]\vec a[/tex] is [tex]\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)[/tex].
Text a friend and write a clear set of instructions on how to find a ratios amount
Answer:
Hi ___
A ratio is created from two numbers it can also be a fraction.
To find a ratio you have to have 2 numbers
You can take these 2 numbers and divide them so they are a unit ratio
For example 3:6 can be reduced to 1:3
Step-by-step explanation:
Hope this helps please give brainliest
Hi guys I’m bored can someone talk to me please? :)
Answer:
sure
Step-by-step explanation:
Answer:
hello
Step-by-step explanation:
Explain how you would solve -5/8 divided by 2/3 and what the solution is?
Answer:
-15/16
Step-by-step explanation:
-5/8 ÷ 2/3
Copy dot flip
-5/8 * 3/2
Multiply the numerators
-5*3 = -15
Multiply the denominators
8*2 =16
Put the numerator over the denominator
-15/16