Answer:
<CFE = 28
<RPQ = 53
Step-by-step explanation:
1)
<CFE + 152 = 180
<CFE = 180 - 152
<CFE = 28
2)
Complementary means the angles add up to 90 so:
<RPQ + 37 = 90
<RPQ = 90 - 37
<RPQ = 53
Annual starting salaries for college graduates with degrees in business administration are generally expected to have a population standard deviation of $3,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. How large a sample should be taken if the desired margin of error is (a) [1 pt] $500
Answer:
A sample of 139 should be taken.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Population standard deviation of $3,000.
This means that [tex]\sigma = 3000[/tex]
How large a sample should be taken if the desired margin of error is $500?
A sample of n is needed.
n is found when M = 500. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]500 = 1.96\frac{3000}{\sqrt{n}}[/tex]
[tex]500\sqrt{n} = 1.96*3000[/tex]
Dividing both sides by 500
[tex]\sqrt{n} = 1.96*6[/tex]
[tex](\sqrt{n})^2 = (1.96*6)^2[/tex]
[tex]n = 138.3[/tex]
Rounding up:
A sample of 139 should be taken.
A rectangle has side lengths of 3 inches and square root 5 inches. Which statement
must be true
about the area of the rectangle?
Answer:
B
Step-by-step explanation:
Firstly, we will take a look at the equation and the options listed to choose from.
Secondly, we notice these options are reffering to rational and irrational numbers.
A rational number is a number that can be expressed in a ratio of 2 integers. (Form example whole numbers such as 1 (1/1), 2(2/1) 5(5/1, 10/2) and even decimals like 3.75 (375/100) or (750/200) etc.
As for irrational numbers, these can NOT be simplified between a ratio 2 integers. For example the question states 3 multiplied by the square root of 5. The square root of 5 is 2.2360679... multiplied by 3 we get 6.7082..... Numbers such as those can go on for infinity and can not be simplified as integers therefore they are irrational numbers.
.............................................................................................................
With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?
With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.
With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.D is false because if the product is 6.708 it can not be the square root of 15 (3.872)
B. It is an irrational number because the product of the side lengths is [tex]3\sqrt{5}[/tex], an irrational number.
According to this question, we know the lengths of the two sides of the rectangle, the length of a side is an positive integer and the length of the other one is an positive irrational number. The area of the rectangle is the product of the two sides lengths mentioned above.
By algebra, we know that the product between an integer and an irrational number leads to other irrational number. Therefore, the area of the rectangle is represented by an irrational number.
[tex]A = (3)\cdot \sqrt{5}[/tex]
[tex]A = 3\sqrt{5}[/tex]
Hence, the right answer is B.
We kindly invite you to check this question on irrational numbers: https://brainly.com/question/528650
Find the area of each figure. Answer asap
Answer: There is no picture I will edit my answer when you add one
Step-by-step explanation:
Answer:
I need the picture or the shape please and thank you
Step-by-step explanation:
GIVING OUT BRAINLIEST TO WHOEVER CAN PROVIDE THE CORRECT ANSWER !! Asap
PLEASE HELP! WILL GIVE BRAINLIEST! After substituting, what is the first step when evaluating 4y+9 when y=82 O Add 4 and 9. O Multiply 8 by 4. O Divide 9 by 7 O Divide 4 by 7.
Answer:
The answer is c
Step-by-step explanation:
For each equality decide whether the solution is represented by X less than 2 .5 or X greater than 2.5 -4x+5>-5 -25>-5(x+2.5)
Answer:
[tex]x<2.5[/tex] and [tex]x > 2.5[/tex] are the solutions
Step-by-step explanation:
Given
[tex]-4x + 5 > -5[/tex]
[tex]-25 > -5(x + 2.5)[/tex]
Required
Determine if their solution is x < 2.5 or x > 2.5
[tex]-4x + 5 > -5[/tex]
Collect like terms
[tex]-4x>-5-5[/tex]
[tex]-4x>-10[/tex]
Divide by -4
[tex]x<\frac{-10}{-4}[/tex]
[tex]x<2.5[/tex]
[tex]-25 > -5(x + 2.5)[/tex]
Open bracket
[tex]-25 > -5x - 12.5[/tex]
Collect like terms
[tex]5x > 25- 12.5[/tex]
[tex]5x > 12.5[/tex]
Divide by 5
[tex]x > \frac{12.5}{5}[/tex]
[tex]x > 2.5[/tex]
the answer to this question
Answer:
3
Step-by-step explanation:
please help ///// brainiliest
A 6 cm high cone has a volume of 128π cm3 What is its exact surface area?
A. 160π cm2
B. 96π cm2
C. 144π cm2
D. 104π cm2
No dam links
PLEASE HELP ANSWER THIS QUESTION!!!
Answer:
about 64.03
Step-by-step explanation:
Taylor had a bag of 28 marbles. 5 red, 9 blue, 8 yellow, and 6 black. If Taylor pulled out a yellow one and DID NOT put it back in. What is the probability of pulling out a blue marble (SIMPLIFY YOUR FRACTION). /
Answer:
The probability of pulling out a blue marble is 33.3%.
Step-by-step explanation:
Given that Taylor had a bag of 28 marbles, which were 5 red, 9 blue, 8 yellow, and 6 black, if Taylor pulled out a yellow one and did not put it back in, to determine what is the probability of pulling out to blue marble the following calculation must be carried out:
28 - 1 = 27
9/27 = X
0.333 = X
0.333 = 33.3%
Therefore, the probability of pulling out a blue marble is 33.3%.
Question
Use a number line to compare the following fractions: 4/3 7/6
The comparison is that:
4/3 is greater than 7/6 and 7/6 is less than 4/3
The fractions are given as:
4/3 and 7/6
See attachment for the number line that represents both fractions
From the number line. 4/3 is at the right of 7/6
This means that:
4/3 is greater than 7/6 and 7/6 is less than 4/3
Read more about number lines at:
https://brainly.com/question/10851163
$102 headphones, 7.5% tax
Answer:
You are correct the tax would be that
Step-by-step explanation:
Convert Standard Form to Factored Form (SHOW
ALL WORK) (LT 5.6)
j(x)=x²+7X-18
Answer:
j(x)=a(x+9)(x-2)
j(x)=1(x+9)(x-2) < final answer
im a breadstick grrrr
Answer:
ok if u say so
Step-by-step explanation:
Estimate the product 28 2/3 x 4/5
Answer:
23.2, exact is 22.9333334
Step-by-step explanation:
28 2/3 is around 28.5 ,4/5 is .75
28.5 * .75 = 21.375
How many lines of symmetry does the figure below have?
Answer:
C
Step-by-step explanation:
there are 4 of the exact same line going in 4 directions
Need help
1. 15% of what number is 6?
2. 25 is 10% of what number
3. 49 is 35% of what number
4. What is 310% of 65
Thanks
Answer:
1. 40
2. 40
3. 140
4. 210.5
I tried, hope this helps :)
Find the a. Median b. Median c. Mode and d. Range of the following scores 60, 70, 90, 70, 80, 65, 95, 80, 100, 60
Answer:
median-75
mode-70
range-40
mean-77
Step-by-step explanation:
Please answer plzzzzzzzzzzz
Answer:
543
Step-by-step explanation:
hi I was going to ask may you help me on math assignments because I'm really struggling and I'm trying to get my grades up
Answer:
ok... i got all A's in math this year so far
Step-by-step explanation:
Sure, but I might get some wrong so don't blame me :)
HELPPPP!!!!! What is the value of y?
B
60
А
5
с
Enter your answer, as an exact value, in the box.
y =
Answer:
y = 8.66
Step-by-step explanation:
tan 60° = y/5
1.7321= y/5
y = 8.66
A line is perpendicular to y = - x - 2 and intersects the point (-5, 10)
Answer:
y = x + 15
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = - x - 2. Its slope is -1. A line perpendicular to this will have a slope of 1.
Plug this value (1) into your standard point-slope equation of y = mx + b.
y = 1x + b or y = x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-5, 10). Plug in the x and y values into the x and y of the standard equation.
10 = (-5) + b
Simplify.
10 = -5 + b
Now, add 5 to both sides to isolate b.
15 = b
Plug this into your standard equation.
y = x + 15
This equation is perpendicular to your given equation (y = -x - 2) and contains point (-5, 10)
Hope this helps!
Can someone please help me I am a no brain and very dum
Suppose 12% of students surveyed said they have tried riding a zip line.
a. How many would say they have tried riding a zip line if 100 students were surveyed.
A mountain climber started at 150 feet below sea level. What would he need to climb to so that his starting spot and his ending spot were opposites?
Answer:
Your answer is 24.333.
Step-by-step explanation:
..If you round this, it would be 24 or 24.3. you get this answer by doing 3650 divided by 150.
Please help!
First phtoto is the answer options for all questons
Second image is the Questions
Answer:
M is (-7,3)
N is (0,1)
I think p is (4,0) but the option isn’t there so I must’ve done something wrong though I can’t find what-
la expecion del volumen
Answer:
no hay imagen lo siento
Step-by-step explanation:
PLS HELP WILL GIVE BRAINLIEST
Malcolm's net worth is $3,475. His liabilities are $7,650.
What is the total
value of his assets?
A.) 3,475
B.) 7,640
C.) 10,005
D.) 11,115
The solution is, D.) 11,115 is the total value of his assets.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
given that,
Malcolm's net worth is $3,475.
His liabilities are $7,650.
now, we have,
the total value of his assets is:
we just have to add them.
$3,475 + $7,650
=11125
Hence, The solution is, D.) 11,115 is the total value of his assets.
To earn more on addition click:
brainly.com/question/29560851
#SPJ2
Guys please i need help in this question, whoever gets it right will get a brainliest
dont pay attention to the bots responding with links, there not the answers
Answer:
14- 1/5
15- 9/20
16- 11/20
Step-by-step explanation:
A 12-pound bag weighs more than a 200-ounce bag. True or false
Answer:
false
Step-by-step explanation:
200oz= 12.5 pounds
Answer:
false
Step-by-step explanation:
12 pound=192 ounces
The length of a rectangle is 16 meters and the width is 3 meters. Find the area.
Answer:
16x3= 48 so the answer is 48m^2