Answers
Answer:
36cm^2
Step-by-step explanation:
total area: 6x(4+3)=42
total area excluding the space: 42-(2x3)=36
Answer:
36 cm squared
Step-by-step explanation:
To solve this problem, I first construct a line. (shown in yellow in the first photo)
I then find the area of the top rectangle. (6 cm * 4 cm = 24 cm squared.)
Next, I find the area of the lower rectangle. But...to do that I have to find the length of the line that I constructed. To do this, I do 6cm-2cm=4cm.
Then I can find the area of the lower rectangle. (4cm*3cm=12cm squared.)
add up the area of both of the rectangles and.........12+24=36 cm squared
Related Questions
3 tons of topsoil cost $2,040.00. What is the price per pound?
Answers
Answer:
$0.34/pound
Step-by-step explanation:
1 ton = 2000 pounds
3 tons = 6000 pounds
-------------------------
2040/6000 = $0.34/pound
Which of the following will have 6 at unit place? a.19² b.11² c.24² d.13²
Answers
If 5(y-2) - 3(y + 4) = 0, then y
IS
A. -1
B. 3
C. 7
D. 11
Answers
Answer:
Y is -1.
Step-by-step explanation:
If you substitute the values, you find that that's the correct answer.
Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "Cannot be determined" in place of the rule. ∆ARE ≅ ∆_____ by _____
Answers
Answer:
add a picture so i can see .
Step-by-step explanation:
28
Here are two rectangles.
Р
e
B
D
S
R
QR = 20 cm
BC = PQ
The perimeter of ABCD is 52 cm
The area of PQRS is 90 cm?
Find the length of AB.
Answers
9514 1404 393
Answer:
21.5 cm
Step-by-step explanation:
Consider rectangle PQRS. Its area is ...
A = LW
90 cm² = PQ×QR = PQ×(20 cm)
(90 cm²)/(20 cm) = PQ = 4.5 cm . . . . . . BC has this value, too
__
Consider the perimeter of ABCD. It is given by ...
P = 2(L +W)
52 cm = 2(AB +BC) . . . . substitute known value for P
26 cm = AB +4.5 cm . . . . use known value for BC, divide by 2
21.5 cm = AB
Am I correct? If not which of the answers is correct?
Answers
Answer:
Yea you are right.
Step-by-step explanation:
If the length of a rectangle is four times its width and the perimeter of the rectangle is 90 yd, whats its area?
Answers
Answer:
324 yds ^2
Step-by-step explanation:
If length=l and width=w, you could write an equation to find the length and width. Then use that to find the area. L=4w. There are two of each side in the rectangle. 4w+4w+w+w=10w. 10w=90. w=9. 4w=36. L=36. 36*9=324yds^2
A student's course grade is based on one midterm that counts as 20% of his final grade, one class project that counts as 10% of his final grade, a set of homework assignments that counts as 50% of his final grade, and a final exam that counts as 20% of his final grade. His midterm score is 63, his project score is 89, his homework score is 92, and his final exam score is 77. What is his overall final score? What letter grade did he earn (A, B, C, D, or F)? Assume that a mean of 90 or above is an A, a mean of at least 80 but less than 90 is a B, and so on
Answers
Answer:
85 i guess
Step-by-step explanation:
PLEASE HELP ME WILL MARK YOU IF YOU HELP(please answer all of them >_<)
Answers
Answer:
See below.
Step-by-step explanation:
Problem 2.
Left figure: 2 sides and included angle: SAS
Middle figure: 2 angles and included side: ASA
Right figure: 3 sides: SSS
Problem 3.
CPCTC = corresponding parts of congruent triangles are congruent
PLEASE HELP ME OUT
Find the value of n in the equation 8 + 2n = 14.
n=____
Answers
Price: 32.80
Sales Tax rate: 8.5%
Answers
Answer:
The new price of this thing you're buying is about $35.58.
Step-by-step explanation:
To find the new price you could find 8.5% of 32.80 then add it to 32.80. That would give you the new price, or you could simply find 108.5% of 32.80. That one has less steps, so Im going to go with that.
What is 108.5% of 32.80?
Let's set up an equation then solve.
108.5% · 32.80 = X
1.085 · 32.80 = 35.588
The new price of this thing you're buying is about $35.58.
Belief in UFOs A survey found that of people believe that they have seen a UFO. Choose a sample of people at random. Find the probability of the following. (a) At least 3 people believe that they have seen a UFO.(b) 2 or 3 people believe that they have seen a UFO.
Answers
Answer:
b is the answer am not sure you know
Answer:
a) 3/10
b)3/10
Step-by-step explanation:
let the sample of people be 10
so,
a) total outcome=10
favourable outcome=3
P(seeing a UFO)= 3/10
b) total outcome=10
favourable outcome=2 or 3
P(seeing a UFO)= 2/10+3/10-(2/10
5/10-2/10
=3/10
An employer has a staff of eighty actuaries, ten of whom are student actuaries. A student actuary is allowed a total of ten weeks off per year (52 weeks in a year) for studying, vacation, and sick days. A non-student actuary is given four weeks off a year. It is assumed that all actuaries use all of the weeks off allocated to them. The actuary Mr. Taylor is at work today. What is the probability that he is a student?
Answers
Answer:
0.1111
Step-by-step explanation:
From the given information;
Number of staffs in the actuary = 80
Out of the 80, 10 are students.
i.e.
P(student actuary) = 10/80 = 0.125
number of weeks in a year = 52
off time per year = 10/52 = 0.1923
P(at work || student actuary) = (50 -10/52)
= 42/52
= 0.8077
P(non student actuary) = (80 -10)/80
= 70 / 80
= 0.875
For a non-student, they are only eligible to 4 weeks off in a year
i.e.
P(at work | non student) = (52-4)/52
= 48/52
= 0.9231
∴
P(at work) = P(student actuary) × P(at work || student actuary) + P(non student actuary) × P(at work || non studnet actuary)
P(at work) = (0.125 × 0.8077) + ( 0.875 × 0.9231)
P(at work) = 0.1009625 + 0.8077125
P(at work) = 0.90868
Finally, the P(he is a student) = (P(student actuary) × P(at work || student actuary) ) ÷ P(at work)
P(he is a student) = (0.125 × 0.8077) ÷ 0.90868
P(he is a student) = 0.1009625 ÷ 0.90868
P(he is a student) = 0.1111
A researcher suspects that people who are abused as children tend to be more prone to severe depression as young adults. She prepares a questionnaire that measures depression and that also asks many personal questions about childhood experiences. Think about how an appropriate description of the purpose of this research would be written (to be read by subjects) in order to obtain their informed consent. You must balance the conflicting goals of not deceiving the subjects about what the questionnaire will tell about them and not biasing the sample by scaring off people with painful childhood experiences.Based on this criteria, which of the statements is an appropriate description of the purpose of the research, that would be read by subjects in order to obtain their informed consent? Pay close attention to the wording of each description. a. The purpose of this research is to study whether people who are abused as children tend to be more prone to severe depression as young adults. b. The purpose of this research is to study whether childhood abuse tends to cause severe depression in young adults. c. The purpose of this research is to study whether severe depression is a result of people having bad experiences in childhood. d. The purpose of this research is to study how childhood experiences are related to risk of depression. e. The purpose of this research is to study different experiences people have had in childhood.
Answers
Answer:
d. The purpose of this research is to study how childhood experiences are related to risk of depression.
Step-by-step explanation:
This answer satisfies the requirements of the question as it uses mild language that will not scare off respondents while also maintaining transparency and truthfulness. This can be seen in wordings such as;
a. Childhood experiences: Instead of explicitly using the term child-hood abuse which can scare off respondents, this phrase uses a milder form of the word that is also not dishonest in itself.
b. Risk of depression: Instead of using heavy terms such as "severe depression," or shady terms like "bad expreciences," the phrase, "risk of depression," helps the subjects to honestly identify what the question is about in a mild way.
Which is an x-intercept of the continuous function in the
table?
-2
-1
0
1
2
3
f(x)
-10
48
46
44
-2
0
(0, -6)
(3.0)
O (-6.0)
(0, 3)
Answers
Answer:
The x-intercept is the value of the variable x when the value of the function is equal to zero
so
In the table we have
(-1, 0)(−1,0) is a x-intercept, because
For x=-1x=−1 the value of the function is equal to zero
(-6, 0)(−6,0) is a x-intercept, because
For x=-6x=−6 the value of the function is equal to zero
therefore
the answer is
the continuous function in the table has two x-intercepts
(-1, 0)(−1,0)
(-6, 0)(−6,0)
What is the solution to the HELP HELP equation m+4
m2
-?
m2-16
4-m
Om =-4
O m = -2
Om = 2.
Om = 4
Answers
Answer:
m = -2
Step-by-step explanation:
[tex]\frac{m}{m+4} + \frac{4}{4-m} = \frac{m^2}{m^2-16}\\\\\frac{m}{m+4} + \frac{4}{-(m-4)} = \frac{m^2}{m^2-16}\\\\[/tex] [tex][ \ ( 4 - m) = - (m -4) \ ][/tex]
[tex]\frac{m}{m+4} + \frac{-4}{(m-4)} = \frac{m^2}{m^2-16}\\\\[/tex] [tex][ \ \frac{a}{-b} = \frac{-a}{b}\ ][/tex]
[tex]\frac{m}{m+4} - \frac{4}{m-4} = \frac{m^2}{m^2-16}\\\\[/tex] [tex][ \ \frac{x}{y} + \frac{-a}{b} = \frac{x}{y} - \frac{a}{b} \ ][/tex]
[tex]\frac{m(m-4)-4(m+4)}{(m-4)(m+4)} = \frac{m^2}{m^2-16}\\\\\frac{m^2 -4m -4m-16}{(m^2-16)} = \frac{m^2}{m^2-16}\\\\[/tex] [tex][ \ T aking \ LCM \ and \ simplifying\ ][/tex]
[tex]m^2 - 8m -16 = m^2[/tex] [tex][ \ \frac{a}{b} = \frac{c}{b} => a = c \ ][/tex]
[tex]m^2 - m^2 - 8m - 16 = 0\\\\0 -8m = 16\\\\-8m = 16 \\\\m = \frac{16}{-8} = -2[/tex]
(x+4)(x^2-5x+3) multiply the polynomials
Answers
9514 1404 393
Answer:
x^3 -x^2 -17x +12
Step-by-step explanation:
Use the distributive property and collect terms.
(x +4)(x^2 -5x +3) = x(x^2 -5x +3) +4(x^2 -5x +3)
= x^3 -5x^2 +3x +4x^2 -20x +12
= x^3 -x^2 -17x +12
c+12<16
what will be the answer
Answers
Answer:
[tex]c < 4[/tex]
Step-by-step explanation:
Move the constant to the right-hand side and change its signs:
[tex]c < 16 - 12[/tex]
Subtract the numbers:
[tex]c < 16 - 12 = c < 4[/tex]
Calculate the sample standard deviation and sample variance for the following frequency distribution of heart rates for a sample of American adults. If necessary, round to one more decimal place than the largest number of decimal places given in the data.
Lower Bound Upper Bound Frequency
56 64 11
65 73 15
74 82 14
83 91 4
92 100 11
Required:
a. What is the sample standard deviation?
b. What is the sample variance?
Answers
Answer:
[tex]\sigma = 12.5[/tex] ---- sample standard deviation
[tex]\sigma^2 = 157.2[/tex] ---- sample variance
Step-by-step explanation:
Solving (a): The sample variance
First, we calculate the midpoint of each class (this is the average of the limits)
So, we have:
[tex]x_1 = \frac{56 + 64}{2} = 60[/tex]
[tex]x_2 = \frac{65 + 73}{2} = 69[/tex]
And so on
So, the table becomes:
[tex]\begin{array}{cc}{x} & {f} & {60} & {11} & {69} & {15} & {78} & {14} & {87} & {4} & {96} & 11 \ \end{array}[/tex]
Calculate the mean
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
[tex]\bar x = \frac{60*11+69*15+78*14+87*4+96*11}{11+15+14+4+11}[/tex]
[tex]\bar x = \frac{4191}{55}[/tex]
[tex]\bar x = 76.2[/tex]
The variance is:
[tex]\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f - 1}[/tex]
So, we have:
[tex]\sigma^2 = \frac{(60 - 76.2)^2*11+(69 - 76.2)^2*15+(78 - 76.2)^2 *14+(87 - 76.2)^2*4+(96 - 76.2)^2*11}{11+15+14+4+11-1}[/tex]
[tex]\sigma^2 = \frac{8488.8}{54}[/tex]
[tex]\sigma^2 = 157.2[/tex]
The sample standard deviation is:
[tex]\sigma = \sqrt{\sigma^2[/tex]
[tex]\sigma = \sqrt{157.2[/tex]
[tex]\sigma = 12.5[/tex]
Solving (b): The sample variance
In (a), we calculate the sample variance to be:
[tex]\sigma^2 = 157.2[/tex]
giving brainliest please answer
(answer D is) Marco's, George, Andy, Rubens
A
B
C
D
?
Answers
A minority representation group accuses a major bank of racial discrimination in its recent hires for financial analysts. Exactly 16% of all applications were from minority members, and exactly 15% of the 2100 open positions were filled by members of the minority.
Required:
a. Find the mean of p, where p is the proportion of minority member applications in a random sample of 2100 that is drawn from all applications.
b. Find the standard deviation of p.
Answers
Answer:
a) The mean is of [tex]\mu = 0.16[/tex]
b) The standard deviation is of [tex]s = 0.008[/tex]
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]
Question a:
Exactly 16% of all applications were from minority members
This means [tex]p = 0.16[/tex], and thus, the mean is of [tex]\mu = p = 0.16[/tex]
b. Find the standard deviation of p.
2100 open positions, thus [tex]n = 2100[/tex].
[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
[tex]s = \sqrt{\frac{0.16*0.84}{2100}}[/tex]
[tex]s = 0.008[/tex]
The standard deviation is of [tex]s = 0.008[/tex]
Which number line represents the solution set for the inequality? HELP PLEASE
Answers
Answer:
sorry i dont know next time ill surely help when i know.
Find cos 0, tan 0, and csc0 where 0 is the angle shown in the figure. Give exact values, not decimal approximations. (plz help!)
Answers
Step-by-step explanation:
everything can be found in the picture
Hello! i really need help with this question.
Answers
Answer:
Option CStep-by-step explanation:
Since,
Ray starts from point O and goes endlessly through point M so, the direction of Ray will be ---> on OM.
Answer:
C
Step-by-step explanation:
Starting from O then moving towards M
x/4 - 3 = -7
what is x equal to?
Answers
Answer:
x=-16
Step-by-step explanation:
x/4-3=-7
x/4=-4
x=-16
Triangle LMN is reflected on y = x and then translates to the left one unit. Which of the following graphs represents the sequence of transformations that maps triangle LMN onto its image?
Answers
The attached graph represents the sequence of transformations
How to determine the sequence?The coordinates of the triangle LMN are
L = (-6, 1)
M = (-4, 3)
N = (-1, 1)
When reflected on y = x, we have:
L' = (1, -6)
M' = (3, -4)
N' = (1, -1)
When translated 1 unit left, we have:
L'' = (0, -6)
M' = (2, -4)
N' = (0, -1)
See attachment for the sequence of transformations
Read more about transformation at:
https://brainly.com/question/11709244
#SPJ1
Julie borrowed 3500 for 3years at a seven and a half simple interest rate how much interest rate is that
Answers
Answer:
787.50
Step-by-step explanation:
interest=3500*7.5*3/100
interest=35*7.5*3
interest=787.50
Time (hours) 3.2, 4.8, 7.2, t, 12.4
Distance (miles) 80, 120, 180, 245, t
Answers
Answer:
t=2 plz mark me as brainliest
Step-by-step explanation:
In one hour Dele walks 8km. How
long will it take her to walk 14km at
the same rate?
Answers
Answer:
1.45 h
Step-by-step explanation:
common factor of 8 and 14 is 2.
every 2km dele takes 15 minutes.
we know this because 15 minutes is 1/4 of an hour and 2km is 1/4 of 8km
14km/2km = 7
7*15 minutes = 1.45 hours
Answer:
1.75 hours/ 1hr 45 min
Step-by-step explanation:
1hr = 8 Km
?? = 14 Km
= (14km × 1hr)/ ( 8km)
= 1.75hours
= 1hr 45min
please help. question in picture
Answers
Answer:
Step-by-step explanation: