Answer:
a)The expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55
b)0.6004
c)19.607
Step-by-step explanation:
Let X denotes the number of fragments in 200 gm chocolate bar with expected number of fragments 10.2
X ~ Poisson(A) where [tex]\lambda = \frac{10.2}{200} = 0.051[/tex]
a)We are supposed to find the expected number of insect fragments in 1/4 of a 200-gram chocolate bar
[tex]\frac{1}{4} \times 200 = 50[/tex]
50 grams of bar contains expected fragments = \lambda x = 0.051 \times 50=2.55
So, the expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55
b) Now we are supposed to find the probability that you have to eat more than 10 grams of chocolate bar before ending your first fragment
Let X denotes the number of grams to be eaten before another fragment is detected.
[tex]P(X>10)= e^{-\lambda \times x}= e^{-0.051 \times 10}= e^{-0.51}=0.6004[/tex]
c)The expected number of grams to be eaten before encountering the first fragments :
[tex]E(X)=\frac{1}{\lambda}=\frac{1}{0.051}=19.607 gram[/tex]s
If you can walk 3 1/3 miles in an hour, how many miles can you walk in 30 minutes, given the
same pace?
Answer:
d = 1.67 miles
Step-by-step explanation:
Given that,
Speed of a person, [tex]s=3\dfrac{1}{3}\ mph[/tex]
We need to find how many miles can you walk in 30 minutes, given the same pace.
30 minutes = 0.5 h
[tex]3\dfrac{1}{3}\ mph = \dfrac{10}{3}\ mph[/tex]
Speed = distance/time
[tex]d=v\times t\\\\d=\dfrac{10}{3}\ mph\times 0.5\ h\\\\d=1.67\ miles[/tex]
So, the person will cover a distance of 1.67 miles
Lane French had a bad credit rating and went to a local cash center. He took out a $100 loan payable in two weeks at $111.50. What is the percent of interest paid on this loan? (Do not round intermediate calculations. Round your answer to the nearest whole percent.)
Answer:$15 = 100 x rate x (2/52)
The 2/52 represents 2 weeks out of 52 weeks in a year
So 15/100 = rate x (2/52)
.15 = rate x (2/52)
If you divide by (2/52) on both sides, you get: 3.9 = rate
Don't be fooled by this answer, because it is not in percent form. In order to get it into percent form you need to multiply by 100. So the percent of interest paid on the loan is 390%.
In a lot of these problems you can predict around the percentage before you even do the problem. In this problem, you can tell that the percentage is going to be high because the loan has accrued $15 interest in just two weeks (15% in just two weeks!)
So if there is 15% interest in two weeks, you know it is going to be a very high annual percentage.
I am very confident that this is the answer, if you can check the answer with your online homework I would do so and send me a message to let me know. Also, if you need more clarification I am happy to message you more without a charge. Let me know!!$15 = 100 x rate x (2/52)
The 2/52 represents 2 weeks out of 52 weeks in a year
So 15/100 = rate x (2/52)
.15 = rate x (2/52)
If you divide by (2/52) on both sides, you get: 3.9 = rate
Don't be fooled by this answer, because it is not in percent form. In order to get it into percent form you need to multiply by 100. So the percent of interest paid on the loan is 390%.
In a lot of these problems you can predict around the percentage before you even do the problem. In this problem, you can tell that the percentage is going to be high because the loan has accrued $15 interest in just two weeks (15% in just two weeks!)
So if there is 15% interest in two weeks, you know it is going to be a very high annual percentage.
I am very confident that this is the answer, if you can check the answer with your online homework I would do so and send me a message to let me know. Also, if you need more clarification I am happy to message you more without a charge. Let me know!!
Step-by-step explanation:
Are these triangles congruent? If so, name the triangle congruence method.
Answer:
The answer you chose is correct
Step-by-step explanation:
A pattern is describe by an= 3n -5 what are the first four ters of the sequence?
9514 1404 393
Answer:
-2, 1, 4, 7
Step-by-step explanation:
Start with n=1. Put the value where n is in the expression and do the arithmetic.
a1 = 3·1 -5 = -2
a2 = 3·2 -5 = 1
a3 = 3·3 -5 = 4
a4 = 3·4 -5 = 7
__
You may notice that each term is 3 more than the previous one.
Organic hot dogs at the grocery store cost $2.00 each. At a major league baseball game, an organic hot dog costs $6.50. How much does the baseball field mark up its organic hot dogs?
Answer: 4.50
Step-by-step explanation:
6.50 minus 2.00 is 4.50
What is the quotient of 8,595 ÷ 247/ tell me the remainder not 358.125000
Answer:
34 R 197
Step-by-step explanation:
Complex my way
The side lenghts of Triangle B are all 5 more than the side lengths of Triangle A.Can Triangle B be a Scaled copy of Triangle A? Yes Or No
Answer:
No
Step-by-step explanation:
Scaling is the procedure for either increasing or decreasing the size of a given object. While a scale is the representative fraction used for the purpose.
scale = [tex]\frac{length on drawing}{original length}[/tex]
For triangle B to be a scaled copy of triangle A,
scale = [tex]\frac{5}{1}[/tex]
= 5:1
This is an enlarged scale, therefore each side of triangle A should be multiplied by 5 not increased by 5.
Triangle B is not a scaled copy of triangle A.
Which of the following words is defined as “the study of hearing”? audiology audiologist audiometer audio
Answer:
audiology
Step-by-step explanation:
Because.
Answer:
A is correct
Step-by-step explanation:
I hope you find it in your heart to give me brainliest
What is the solution to the given inequality?
one-half minus one-fourth x is greater than or equal to negative one-fourth
Answer:
[tex]x \leq 1[/tex]
Step-by-step explanation:
Write it out:
[tex]\frac{1}{2} -\frac{1}{4}x \geq \frac{1}{4}[/tex]
Get x alone
Subtract 1/2 from both sides
[tex]-\frac{1}{4} x \geq -\frac{1}{4}[/tex]
Divide both sides by -1/4 (NOTE: Dividing by a negative you must flip the sign)
[tex]x \leq 1[/tex]
Hope this helps,
Answer:x ≤ 3
Step-by-step explanation:
Other guy is wrong
Its late and i need this pls
Gretchen made a paper cone to hold a gift for a friend. The paper cone was 11 inches high and had a radius of 4 inches. Find the volume of the paper cone to the nearest tenth. Use 3.14 for π.
The volume is ___in^3
Answer:
184.2 in^3
Step-by-step explanation:
vol of cone=
[tex]\pi {r}^{2} \frac{h}{3} [/tex]
[tex]3.14 \times 16 \times \frac{11}{3} [/tex]
=184.2
Simplify (-4/5)divided by (3/-2). -8/15 -6/5 6/5 8/15
Answer:
8/15
Step-by-step explanation:
-4/5 ÷ -3/2
Copy dot flip
-4/5 * -2/3
Multiply the numerators
8
Multiply the denominators
15
Put the numerator over the denominator
8/15
Answer: 8/15
Step-by-step explanation: (-4/5)divided by (3/-2) is 8/15.
Consider the function below. Find f(x) = 7
f(x) = 4x - 9
Answer:
x=4
Step-by-step explanation:
it tel you that f(x) = 7 so replace "f(x)" for 7 in the equation. You then get 7 = 4x - 9 so now you solve for x. You have to isolate x so you add 9 to the other side since you do the opposite of -9. Once you add 9 and 7, then divide the answer by 4. You should get 4 = x.
Work:
f(x) = 4x - 9
7 = 4x - 9
7 + 9 = 4x
16 = 4x
16 ÷ 4 = x
4 = x
Suppose that Elsa and Frank determine confidence intervals based on the same sample proportion and sample size. Elsa uses a larger confidence level than Frank. How will midpoint and width of confidence intervals compare
Answer:
elsa's interval width will be greater than that of frank
Step-by-step explanation:
first of all we are told that both Elsa and Frank have the same sample proportion so their midpoint is also going to be the same.
now as the confidence level goes higher, so also would the margin of error increase. then the width of the confidence interval would rise so it can be more confident.
from this question elsa has a larger confidence level therefore her intervals width will be greater than franks own.
Write an equation in slope-intercept form of the line that passes through (4, 6) and (9,2)
Answer:
m=0
b=-9
Step-by-step explanation:
Slope is equal to the change in
y
over the change in
x
, or rise over run.
m
=
change in y
change in x
The change in
x
is equal to the difference in x-coordinates (also called run), and the change in
y
is equal to the difference in y-coordinates (also called rise).
m
=
y
2
−
y
1
x
2
−
x
1
Substitute in the values of
x
and
y
into the equation to find the slope.
m
=
−
9
−
(
−
9
)
2
−
(
−
4
)
The equation of the line is equal to y=-5x/4 +c
What is the slope-intercept form of a line?The slope-intercept form of a line is represented by y=mx+c where m=slope and c is the y-intercept of the line
Given here: The given line passes through (4,6) and (9,2)
We know the slope intercept form is given by
y=mx+c
putting (4,6) in the equation we get
6=4m+c
Again substituting (9,2) in the equation we get
2=9m+c
Thus solving this two equations we get the value of m=-5/4 and c=11
Hence, The equation of the line is equal to y=-5x/4 +c
Learn more about the slope intercept form here:
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Find the product of (x + 3)(x - 3)
Answer:
= x ^2-9 answer.,...,...,..
QUESTION 20
Para el par de funciones, encuentre la suma, diferencia, producto o cociente indicado.
f(x) = -2x 2 - 6. g(x) = x + 4
Encuentra (f - g)(-5).
O a. -47
O b.-55
O c. 61
O d.-65
Answer:
B. -55
Step-by-step explanation:
La resta entre ambas funciones consiste en la sustracción de términos semejantes como demostraremos a continuación:
1) [tex]f(x) =-2\cdot x ^{2}-6[/tex] Dado
2) [tex]g(x) = x+4[/tex] Dado
3) [tex](f-g)(x) = (-2\cdot x^{2}-6)-(x+4)[/tex] Definición de resta de funciones.
4) [tex](f-g)(x) = (-2\cdot x^{2}-6)+(-1) \cdot (x+4)[/tex] [tex](-1)\cdot a = -a[/tex]
5) [tex](f-g)(x) = (-2\cdot x^{2}-6) + (-x-4)[/tex] Propiedad distributiva/[tex](-1)\cdot a = -a[/tex]
6) [tex](f-g)(x) = -2\cdot x^{2}-x+(-6-4)[/tex] Propiedad conmutativa
7) [tex](f-g) (x) = -2\cdot x^{2}-x-10[/tex] Sustracción de términos semejantes/Resultados.
A continuación, evaluamos la función resultante en [tex]x = -5[/tex]:
[tex](f-g)(-5) = -2\cdot (-5)^{2}-(-5)-10[/tex]
[tex](f-g)(-5) =-55[/tex]
Por ende, la respuesta correcta es B.
Solve for b: b / 2-5 = 13 *
Your answer
[tex]\text {Hello! Let's Solve this Equation!}[/tex]
[tex]\text {\underline {The First Step is to Simplify the Equation}}[/tex]
[tex]\text {b=1 so b/2 becomes 1/2}[/tex]
[tex]\text {Your New Problem Is: 1/2b-5=13}[/tex]
[tex]\text {\underline {The Second Step is to Add 5}}[/tex]
[tex]\text {1/2b-5+5=13+5}[/tex]
[tex]\text {Your New Problem Is: 1/2b=18}[/tex]
[tex]\text {\underline {The Final Step is to Multiply 2}}[/tex]
[tex]\text {2*1/2b}=2*18}[/tex]
[tex]\text {Your Answer Would Be:}[/tex]
[tex]\fbox {b=36}[/tex]
[tex]\text {Best of Luck!}[/tex]
what is 8 times 0.9 equal
Answer:
7.2
Step-by-step explanation:
Find two numbers who’s product is 132 and whose sum is 23
Answer : The two numbers are 11 and 12.
HELLP ASAAAAP If each of two complimentary angles has the same measure, then which angle will equal _______.
Answer:
A complimentary angle is 90°
Step-by-step explanation:
Hope this helped! <3
Which situation could be represented by the equation - 30+30 = 0?
Rita bought a hat for $30. She then bought some headphones for $30.
Donna loaned $30 to her brother. He then paid her back $30 the next day.
Wen drove 30 miles to the library. She then drove 30 more miles to her college.
Mika filled a tank with 30 gallons of water. She then filled the tank with 30 more gallons.
O
Answer:
"Donna loaned $30 to her brother. He then paid her back $30 the next day" is the correct situation
Simplify: Negative two and one-third minus negative ten and one-sixth Negative twelve and one-half Twelve and one-half Seven and five-sixths Negative seven and five-sixths
Answer: Seven and five-sixths
Step-by-step explanation:
Simplify : Negative two and one-third minus negative ten and one-sixth
(-2 1/3) - (-10 1/6)
(-7/3) - (-61/6)
Take L. C. M of 3 and 6 =. 6
(-14) - (-61) / 6
(-14 + 61) / 6
47/ 6
= 7 5/6 = Seven and five-sixths
Answer:
Answer: Seven and five-sixths
Step-by-step explanation:
Simplify : Negative two and one-third minus negative ten and one-sixth
(-2 1/3) - (-10 1/6)
(-7/3) - (-61/6)
Take L. C. M of 3 and 6 =. 6
(-14) - (-61) / 6
(-14 + 61) / 6
47/ 6
= 7 5/6 = Seven and five-sixths
Step-by-step explanation:
y=-2x-1 when x=-7 please shows steps thanks
Answer:
Y = -15
Step-by-step explanation:
When you understand how to do it, it's easy!
since x = -7, replace x with -7...
y = 2(-7) - 1
then...multiply...
y = -14 - 1
then finish...
y = -15
wooHoo! Pls Brainliest! Would help a lot! ;)
What is the opposite of -2
A: -1/2
B:0
C:2
Answer: C
The opposite value of -2 is 2 because:
Remove the minus sign from the number 2. Take it and it is your answer.
Hope this answer helps!
The Arizona Department of Transportation wishes to survey state residents to determine what proportion of the population would like to increase statewide highway speed to 75 from 65 mph. At least how many residents do they need to survey if they want to be at least 99% confident that the sample proportion is within 0.05 of the true proportion
Answer:
The answer is "6.635776".
Step-by-step explanation:
If the proportion estimation is not given, then the approximate is true. So, it is in the top condition, which referring its overall error margin that is equal to 0.5.
Therefore the margin of error=0.05 With z=2.576
[tex]\to 0.05=2.576 \times \sqrt{(0.05 \times \frac{0.05}{N})}\\\\\to 0.05=2.576 \times \sqrt{( \frac{0.0025}{N})}\\\\\to \sqrt{N}= \frac{2.576 \times 0.05}{0.05}\\\\\to \sqrt{N}= 2.576[/tex]
square the above equation:
[tex]\to (N)^2= (2.576)^2\\\\\to N^2= 6.635776\\\\[/tex]
So the number of required residents=6.635776
help me pleASE will give brianliest
Answer:
REALLY
Step-by-step explanation:
i think its a
The Sweet Shoppe sells a half-dozen cupcakes for $16.50. The Cupcake Factory sells a dozen cupcakes for $30.00. Jameska purchases two cupcakes from each shop. What is the difference in the purchases?
The difference in the purchases is $
.
Answer:
$1.50
Step-by-step explanation:
The cost of half of dozen of cupcakes at Sweet Shoppe = $16.50.
The cost of a dozen cupcakes at Cupcake factory = $30.00. Therefore the cost of half a dozen cupcakes at Cupcake factory = $30.00 / 2 = $15.00
The difference in purchases = cost of half a dozen cupcakes at Sweet Shoppe - cost of half of dozen of cupcakes at cupcake factory
The difference in purchases = $16.50 - $15.00 = $1.50
This means that their is a difference of $1.50 for half a dozen cupcakes between the Sweet Shoppe and cupcake factory.
I’ll give you brainly thingy just help me
Answer:
4
Step-by-step explanation:
What is the value of the number 8 in 4,850,23
?
Answer:
800,000.
Step-by-step explanation:
The 8 is in the hundred thousands place.
Amy is having her birthday party at a roller skating rink. The rink charges a fee of $50 plus $8 per person. If Amy wants to spend at the most $170 for the party at the rink, how many people can she invite to her party? Write a let x statement, an inequality and solve.
Answer:
(170 - 50)/8 = X
Step-by-step explanation:
X = amount of people
(170 - 50)/8 = X
Inequality
X = Number of People
50+(8*X) [tex]\leq[/tex] 170
The x statement is x ≤ 15. An inference is a statement that expresses the relationship between two (or more) expressions using one of the five signs listed below.
What is meant by inequality?Inequality the state of not being equal, particularly in status, rights, and opportunities1 is central to social justice theories. However, it is prone to misunderstanding in public debate because it means different things to different people. Some distinctions, however, are universal. A solution to an inequality in x is a number that, when substituted for x, yields a true statement. So, for example, 4 is a solution, whereas 8 is not. An inequality's solution set is the set of all solutions.The expression 5x 4 > 2x + 3 resembles an equation, but the equals sign has been replaced by an arrowhead. It's an example of inequity.Therefore,
(170 - 50)/8 = X
X = Number of People Over 50 (170 - 50)/8 = X
Inequality (8 × X) ≤ 170
An inequality is a statement that expresses the relationship between two (or more) expressions using one of the five signs listed below.
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