Answer:
16% of the cockroaches have weights less than 78 grams.
Option A is correct.
Step-by-step explanation:
Mean = 80 g
Standard Deviation = 2
We need to find percent of the cockroaches have weights less than 78 grams so, x=78
First we will find z using formula:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Putting values of x, mean and Standard Deviation to find z
[tex]z=\frac{x-\mu}{\sigma}\\z=\frac{78-80}{2}\\z=-1[/tex]
We need to find P(z<-1)
Looking in the normal distribution table
[tex]P(z<-1)=0.15866\\P(z<-1)\approx 0.16\\Converting \ into \ percentage\\P(z<-1)=16\%[/tex]
So, 16% of the cockroaches have weights less than 78 grams.
Option A is correct.
If a bug can flap its wings at a rate of 77 times in 9 seconds, how many times do they flap their wings in 1.119 minutes? Round to 1 decimal.
A line contains the points A, B, C, and D. Point B is
between points A and C. Point D is between points C
and B. Which of the following inequalities must be true
about the lengths of these segments?
F. BC < AB
G. BD < AB
H. BD < CD
J. CD < AB
K. CD
Answer:
a
Step-by-step explanation:
aa
Find the value of P for which the inflows will equal the outflows. Find the effective rate first.
Rate 8% p y c d
Year Outflows Inflows
0 -P
1 -2P
2 -4P
3 -8P
4 -16P
5 $24,000
6 $30,000
7 $36,000
8 $42,000
9 $48,000
10 $54,000
Answer:
The answer is "p= $5,246".
Step-by-step explanation:
Using formula:
Present value of [tex]\frac{in-flow}{out-flow}[/tex] = cash-flow [tex]\times[/tex] present value of discounting factor(rate %, time period)
[tex]\to -p-\frac{2p}{1.08}-\frac{4p}{1.08^2}- \frac{8p}{1.08^3}-\frac{16p}{1.08^4} =\frac{24000}{1.08^5}+ \frac{30000}{1.08^6}+ \frac{36000}{1.08^7} + \frac{42000}{1.08^8}+ \frac{48000}{1.08^9}+ \frac{24000}{1.08^{10}}\\\\[/tex]
[tex]\to -p[1+\frac{2}{1.08}+\frac{4}{1.08^2}+ \frac{8}{1.08^3}+\frac{16}{1.08^4}] = 127960.43169\\\\\to -p[24.3923427] = 127960.43169\\\\\to -p = \frac{127960.43169}{24.3923427}\\\\\to p= 5245.93\\\\\to p= 5246[/tex]
A communications tower is supported by two wires, connected at the same point on the ground. One is attached to the tower at D and the long-on at C. The angle AD makes with the ground is 30 ° and the angle between the two wires is 10 °. How much below the top of the tower is the shorter one attached?
Answer:
10.99 m
Step-by-step explanation:
✍️What we are basically asked to solve here is to find the distance between C and D.
To find CD, find the length of BC, and BD. Their difference will give us CD.
Thus, BC - BD = CD.
✍️Finding BC using trigonometric ratio formula:
[tex] \theta = 30 + 10 = 40 [/tex]
Opposite side = BC = ??
Adjacent side = 42 m
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Plug in the values
[tex] tan(40) = \frac{BC}{42} [/tex]
Multiply both sides by 42
[tex] tan(40) \times 42 = \frac{BC}{42} \times 42 [/tex]
[tex] 35.24 = BC [/tex]
BC = 35.24 m
✍️Finding BD using trigonometric ratio formula:
[tex] \theta = 30 [/tex]
Opposite side = BD = ??
Adjacent side = 42 m
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Plug in the values
[tex] tan(30) = \frac{BD}{42} [/tex]
Multiply both sides by 42
[tex] tan(30) \times 42 = \frac{BD}{42} \times 42 [/tex]
[tex] 24.25 = BD [/tex]
BD = 24.25 m
✍️How much below the top of the tower is the shorter one attached:
Thus,
BC - BD = CD
35.24 m - 24.25 m = 10.99 m
if two dice are rolled one time, find the probability of getting a sum less than or equal to 4
Answer:
The probability of getting a sum less than or equal to 4 is 1/6.
Step-by-step explanation:
When two dices are rolled, the number of outcomes are: 6*6 = 36 which is written in ordered pairs consisting of outcome of both dices.
When two dices are rolled, the number of sample space elements is:
[tex]n(S) = 36[/tex]
Let A be the event that the sum of outcomes is less than or equal to 4:
[tex]A = \{(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)\}[/tex]
That implies
[tex]n(A) = 6[/tex]
The probability of getting sum less than or equal to 4 will be:
[tex]P(A) = \frac{n(A)}{n(S)} = \frac{6}{36} = \frac{1}{6}[/tex]
Hence,
The probability of getting a sum less than or equal to 4 is 1/6
The probability of getting a sum less than as well as equivalent to 4 will be "[tex]\frac{1}{6}[/tex]".
Probability:The probability that may be an outcome will happen together in random experiment. The greater the likelihood of such an occurrence, the further probable it will materialize.
Let,
The event that the sum less than as well as equivalent to 4 be "A".
According to the question,
Whenever the 2 dices are rolled, the no. of outcomes will be:
= 6 × 6
= 36
and,
The no. of sample elements will be:
n(S) = 36
Now,
A = {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (3, 1)}
The probability be:
→ P(A) = [tex]\frac{n(A)}{n(S)}[/tex]
= [tex]\frac{6}{36}[/tex]
= [tex]\frac{1}{6}[/tex]
Thus the response above is correct.
Find out more information about probability here:
https://brainly.com/question/24756209
20. John Navarro is a salesperson in the appliance department at Morris
Appliance, Inc. He is guaranteed a minimum salary of $185 per week, or
5.5 percent of his total sales—whichever is greater. What is his gross pay
for a week in which his total sales were $3,422?
Answer:
$373.21Step-by-step explanation:
Step one:
weekly pay = $185
commission= 5.5% of sales= 0.055
let the sale be x
and his gross pay be represented by y
hence the expression for the total/gross pay is
y=0.055x+185
Step two:
Required is the gross pay y for x=3422
substituting we have
y=0.055*3422+185
y=188.21+185
y=373.21
Hence for a sale of $3,422 made his gross pay is $373.21
Can a quadratic have one real and one non real root
Answer:
Yes, it is possible. We already know that complex roots exist in conjugate pair but the case is true only when the equation has real coefficients. But on the other hand, if the equation has complex coefficients, then it is possible to attain one real and one complex root.
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] =
Answer:
It may be 220 9/23. If it's wrong sorry lol.
Step-by-step explanation:
heidi subtract 9 from 17. first she adds to get 10.then she added again to find her answer is heidi correct Heidi is not correct to add blank then you add blank more to get 10 to 17 the answer is
Answer:
Heidi wants to compute:
17 - 9.
First, she adds to get 10, (we want to subtract 10, this is easier than subtracting 9) then she can do:
17 - 9 + 0
adding zero does not change the sum
1 - 1 = 0
then:
17 - 9 + 0 = 17 - 9 + 1 - 1
Now we can do:
17 - 9 - 1 + 1
17 - (9 + 1) + 1
17 - 10 + 1
(17 - 10) + 1
7 + 1 = 8
Then, first she needs to add -1, in order to subtract 10, and then she must add 1. As we added a number and its inverse, in total we added zero, so the sum did not change, but was easier to compute.
Then, you need
What is the quotient of
3/4 and 1/5
Answer:
3.75
Step-by-step explanation:
1. Alison has 3 skirts, 2 shirts, and 2 pairs of shoes. How many different combinations of
skirt, shirt, and shoes can she choose?
Answer:
12
Step-by-step explanation:
3x2x2 or make a tree diagram
find gcd of (510,92)
Answer:
The GCD of 510 and 92 is 2
Step-by-step explanation:
510 : 2 = 255
510 : 3 = 170
510 : 4 = 127.5
92 : 2 = 46
92 : 3 = 30.6667
92 : 4 = 23
hope this helps!
I know that it’s supposed to flip over the y-axis but can someone please give me the points?
Answer:
Step-by-step explanation:
There are 3 critical points. Place them on the graph and go down (using a ruler and pencil).
-7, -5 trans forms into 7, -5
-4, -2 transforms into 4,-2
4, -4 transforms into -4, -4
In a certain company a salesman is paid a fixed salary for $3140 per month plus an annual commision of 2% on the TOTAL value of cars sold for the year. If the salesman sold cars valued at $720000 in 2009 calculate:
(i) his fixed salary for the year
(ii) the amount he recieved in commision for the year
(iii) his TOTAL income for the year
Step-by-step explanation:
(i) 12 months × fixed salary
= 12 × 3140
= 37680 $
(ii) commission = total × 2%
= 720000 × 0.02
= 14400 $
(iii) fixed salary + commission
= 37680 + 14400 = 52080 $
y = 12 • 3x for x = –2
Answer:
y=-72
Step-by-step explanation:
3(-2) = -6, y=12 times -6, y= -72
Write and solve an equation to find the value of x. PLS HELP!!
Answer:
23.59 - 14.89 = x
x = 8.7
Step-by-step explanation:
To find x, you need to add all of the other sides and subtract it from the perimeter. 5.62 + 5.62 + 3.65 = 14.89.
23.59 - 14.89 = x, so x = 8.7
Answer:
8.7
Step-by-step explanation:
Add all the numbers together (5.62, 5.62, and 3.65) then take away from the result (23.59) to get answer.
A square has a side length 9 cm. What is its area? A square has an area of 9 cm2. What is its side length?
Answer:
Area = 81; Side Length = 3
Step-by-step explanation:
The area of a square is the side lenght squared, and 9² is 81.
The side lengh can be found by taking the square root of the area. √9 = 3
4.
It takes a lady 3 days to wash the windows
inside and out. Her husband can do the job
in 4 days. How fast can they do it together?
Seema deposited $800 in a saving account earning 2.88% compounded annually. To the nearest cent, how much will she have in 16 years? Do not include the dollar sign in your answer.
Answer:
1260.04
Step-by-step explanation:
The formula for compound interest is:
A = P(1+[tex]\frac{r}{n}[/tex][tex])^{nt}[/tex] where A is the final amount, P is the initial principal balance, r is the interest rate, n is the number of times interest applied per time period and t is the number of time periods elapsed. Since the deposit was compounded annually, just like the interest, we can omit the n in the equation.
Applying the formula to question:
800(1+[tex]\frac{2.88}{100}[/tex][tex])^{16}[/tex] = 1260.04 (rounded off to nearest cent since it's money)
Which triangles are congruent by ASA? *
Answer:
The correct answer is B. ΔVTU and ΔABC
Step-by-step explanation:
I took the test hope this helps :)
x^2+8x=0
what is the sum of the solutions? please help me!!
Answer:
Step-by-step explanation:
0
,
8
What is the sign of the product (–5)(–3)(–8)(–6)? Positive, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is positive Positive, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is positive Negative, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is negative Negative, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is negativeWhat is the sign of the product (–5)(–3)(–8)(–6)? Positive, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is positive Positive, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is positive Negative, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is negative Negative, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is negative
Answer:
The sign is positive.
Step-by-step explanation:
(-5)(-3)
= 15 (double negative)
15(-8)
=-120 (positive negative)
(-120)(-6)
= 720 (negative negative)
Therefore, the sign of the answer is positive.
Hope this helped!
Answer:
The sign is postive
Step-by-step explanation:
(-5)(-3)
= 15 (double negative)
15(-8)
=-120 (positive negative)
(-120)(-6)
= 720 (negative negative)
Round your answer to tenth place. A park has a triangular sandbox. Todd wants to create a smaller sandbox at his backyard having the same angles as the park sandbox. Drawings of both sandboxes are shown. 14 ft 18 ft 20 ft Park Sandbox 8 ft Todd's Sandbox What is the perimeter, in feet (ft), of Todd's sandbox? DOLL
No picture given for this problem. Repost.
(I'LL BE GIVING BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS ME!! :D)
Terri buys five and seven eighths ounces of chocolate chips. She uses four and four sixths ounces in a recipe. How many ounces of chocolate chips does she have left?
A) one and ten forty eighths ounces
B) one and three fourteenths ounces
C) two and ten forty eighths ounces
D) two and three fourteenths ounces
(Here is an image if needed) :
what is the equation of the line in slop-intercept form HELPP PLZZZZZZZZZZ
Answer:
y = 3/5x + 3
Step-by-step explanation:
(y2-y1)/(x2-x1) = slope
pick 2 points (0,3) and (-5,0)
(0-3)/(-5-0) = -3/-5 = 3/5
y = 3/5x + b
3 = 3/5(0) + b, b = 3
equation y = 3/5x + 3
Gail collects trading cards. Her favorites are baseball and football cards. For
every 10 baseball cards she owns, Gail has 17 football cards. What is the
ratio of baseball cards to football cards in her collection?
O A. 17:10
B. 10 and 17
O c. 12
O D. 17 to 10
Step-by-step explanation:
its ratio so it has to be A
simplify the following square root √ -1 =
Answer:
1 .
because sqare root of -1= 1
P and q are integers that are multiple of 5. Which of this
not true about p and q
(a) P + q is divisible by 5
(b) P –q is divisible by 10
(c) P + q is divisible by 20
(d) P + q is divisible by 25
Answer:
we conclude that the only option (a) is true.
Step-by-step explanation:
As we know that the multiples of 5 are the numbers which we get when we multiply by 5.
i.e.
5×1=5
5×2=10
Here, 5 and 10 are multiples of 5.
Let p and q are integers that are multiples of 5.
Let us consider
p=5
q=10
so
p+q=5+10
= 15
A number is divisible by 5 if it ends in 5 or 0.
i.e. 15/5 = 3
so p+q is divisible by 3 as there is no remainder left.
Therefore, option (a) is true.
Checking the other options:
(b) P –q is divisible by 10
As
p=5
q=10
so
p-q=5-10
= -5
Numbers that are divisible by 10 need to be even or divisible by 2 and divisible by 5.
As -5 is not divisible by 2.
So, option b is NOT true.
(c) P +q is divisible by 20
As
p=5
q=10
so
p-q=5+10
= 15
Divisibility rule of 20 implies that the last two digits of the number are either 00 or divisible by 20 .
Therefore, P + q= 20 is not divisible by 20 as we don't get the whole number.
(d) P + q is divisible by 25
As
p=5
q=10
so
p-q=5+10
= 15
p+q=15 is not divisible by 25 as it does not end with 00, 25, 50, or 75.
so, option d is NOT correct.
Therefore, we conclude that the only option (a) is true.
Re-write the equation in slope-intercept form: 5x + 4y = 20
Answer:
y=5-5/4x
Step-by-step explanation:
slope-intercept form: y=mx+b (m= slope, b= y-intercept)
5x + 4y = 20
4y=20-5x
simplify
y=5-5/4x
/
Which statement is false?
A.
by SSS
B.
by SAS
C.
by SAS
D.
Answer:
sorry, i haven't understood your question!! how can i tell which statement is false.