Answer:
10.23 miles
Step-by-step explanation:
1 hour = 3600 seconds
[tex]\frac{60}{4} =\frac{x}{3600} \\\\4x=216000\\x=54000[/tex]
54000 ft = 10.23 miles
Evaluate the expression.
3×2⁴
is 0.23 or 2.3% greater?
Answer:
0.23
Step-by-step explanation:
If you convert 0.23 into a percent, it becomes 23%, which is more than 2.3%.
Hope that helps!
-Sabrina
Which situation explains when a system of equations has infinitely many solutions ?
Answer:
C. when they are the same line
A cone has a volume of 350 cubic meters. The area of the baseis
70 square meters. What is the height of the cone?
Answer:
The height is 15
The recipe calls for 2 2/4 but jams only have 1/4 how many cups do jams need to measure out 2 2/4 cups of raisins
Answer:
brainliest
Step-by-step explanation:
she needs altogether 2 2/4.
that is 2 wholes and 2/4 fraction.
if we consider using 1/4 cup, 1 whole is made of four quarter cups.
Therefore 2 wholes require eight quarter cups. then theres a remaining fraction of 2/4 which is equivalent to two quarter cups.
1/4 + 1/4 = 2/4. therefore altogether 8 + 2 = 10 of the 1/4 cups are required for the recipe.
10 of 1/4 cups are needed
The ratio of cats to dogs is 5:4 in Riverside. If there are 20 dogs, how many cats live in Riverside?
Select one:
25
20
30
16
Answer:
25
Step-by-step explanation:
c to d is 5 to 4
5x5=25
fffff
Answer:
25
Step-by-step explanation:
We need to divide 20 by 4 to see how much 1 equals in this problem.
20÷4=5
5 equals 1
Now we add 5 to 20 because the ratio is 5:4.
20+5=25
Our answer is 25.
Which of the following options have the same value as 96% of 25?
Choose 2 answers:
96
100
• 25
Pro
B
0.96 - 25
Tea
0.96 . 0.25
96 25
100 100
96 - 25
Answer:
A
Step-by-step explanation:
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2
It takes Nathan 4 minutes to solve 3 math problems. Choose a ratio tool to determine how long will it take Nathan to solve 12 math problems.
Answer: since 4mins->3math prob.
then 12/3=4 and 4x4=16
It will take him 16 minutes to solve 12 math problems
Step-by-step explanation:
Nora made 15 gallons of lemonade for a community picnic. She served 100 pints to the people. How many pints are leftover? Please help!
Answer:
There are 8 pints to a gallon so she makes 120 gallons, and since she served 100 pints then there are 20 pints left over.
Brainliest please?
what is it step by step 7a - 4a when a = 8
Answer:
Step-by-step explanation:
7a - 4a
a = 8
so
7(8) - 4(8)
56 - 32 = 23
FINALLY! Someone asks for a step-by-step! TYSM!
Since a=8, we ae going to replace the a variables with 8.
7(8)-4(8)
7x8=56
4x8=32.
Now we subtract.
56-32=24.
---
hope it helps
We wish to modify the cellular telephone coding system in order to reduce the number of errors. In particular, if there are two or three zeroes in the received sequence of 5 bits, we will say that a deletion (event D) occurs. Otherwise, if at least 4 zeroes are received, then the receiver decides a zero was sent. Similarly, if at least 4 ones are received, then the receiver decides a one was sent. We say that an error occurs if either a one was sent and the receiver decides zero was sent or if a zero was sent and the receiver decides a one was sent. For this modified protocol, what is the probability P[E] of an error? What is the probability P[D] of a deletion?
Solution :
Here, we have 5 trails that corresponds to the 5 times the binary symbol is sent. On each trail, success is said to occur when the binary symbol is received correctly. The probability of a success is p = 1 - q = 0.9 and q = 0.1
Now if the 0 is being transmitted, then the 0 is sent 5 number of times and then we call the decoding a 0 success. Let the repeated transmission are independent. In this case, we have 5 trails. Let each repeated bit the receiver decodes as 1 a success, using the binomial probabilities. We using the [tex]$S_{k,5}$[/tex] to denote an event of [tex]$k$[/tex] successes in the 5 trails, then the probability k are decoded at the receiver is:
[tex]$P[S_{k,5}]=\binom{5}{k}p^k(1-p)^{5-k}$[/tex]
[tex]$=\binom{5}{k}(0.9)^k(1-0.9)^{5-k}$[/tex]
[tex]$=\binom{5}{k}(0.9)^k(0.1)^{5-k}$[/tex]
Here, k = 1, 2, 3, 4, 5
The probability of the transmitted bit to be decoded correctly is:
[tex]$P[C]=P[S_{5,5}]+P[S_{2,5}]$[/tex]
[tex]$=\binom{5}{3}(0.9)^5(0.1)^{0}+\binom{5}{4}(0.9)^4(0.1)^1$[/tex]
[tex]$=(0.9)^5+5(0.9)^4(0.1)^1$[/tex]
= 0.91854
The probability that the deletion occurs is
[tex]$P[D]=P[S_{3,5}]+P[S_{2,5}]$[/tex]
[tex]$=\binom{5}{3}(0.9)^3(0.1)^{2}+\binom{5}{2}(0.9)^2(0.1)^3$[/tex]
[tex]$=10(0.9)^3(0.1)^2+10(0.9)^2(0.1)^3$[/tex]
= 0.081
The probability of an error is
[tex]$P[E]=P[S_{1,5}]+P[S_{0,5}]$[/tex]
[tex]$=\binom{5}{1}(0.9)^1(0.1)^{4}+\binom{5}{0}(0.9)^0(0.1)^5$[/tex]
[tex]$=5(0.9)^1(0.1)^4+(0.1)^5$[/tex]
= 0.00046
Tom is 10 years younger than Becky. In two years, Becky will be twice as old as Tom. How old is Tom now?
Answer:
20
Step-by-step explanation:
Answer:
tom is 8 and becky is 18 now
Step-by-step explanation:
in two years becky would be 20 and tom will be 10
hope this helps
The Washington, DC, region has one of the fastest-growing foreclosure rates in the nation, as 15,613 homes went into foreclosure during the one-year period ending in February 2008 (The Washington Post, June 19, 2008). Over the past year, the number of foreclosures per 10,000 homes is 131 for the Washington area, while it is 87 nationally. In other words, the foreclosure rate is 1.31% for the Washington, DC area and 0.87% for the nation. Assume that the foreclosure rates remain stable.
Required:
a. What is the probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure?
b. What is the probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure?
c. Comment on the above findings.
Answer:
a) 0.6226 = 62.26% probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure.
b) 0.7837 = 78.37% probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure.
c) The proportion of foreclosures in the Nation is lower than in Washington, which means that with a sample size of 100, it is likely to have a small number(fewer than 2) of foreclosures than Washington DC.
Step-by-step explanation:
For each home, there are only two possible outcomes. Either it goes into foreclosure, or it does not. The probability of a home going into foreclosure is independent of other homes. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
a. What is the probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure?
The foreclosure rate is 1.31% for the Washington, DC area, which means that [tex]p = 0.0131[/tex]
We wanto to find, with [tex]n = 100[/tex]:
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{100,0}.(0.0131)^{0}.(0.9869)^{100} = 0.2675[/tex]
[tex]P(X = 1) = C_{100,1}.(0.0131)^{1}.(0.9869)^{99} = 0.3551[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.2675 + 0.3551 = 0.6226[/tex]
0.6226 = 62.26% probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure.
b. What is the probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure?
Foreclosure rate of 0.87% for the nation, which means that [tex]p = 0.0087[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{100,0}.(0.0087)^{0}.(0.9913)^{100} = 0.4174[/tex]
[tex]P(X = 1) = C_{100,1}.(0.0087)^{1}.(0.9913)^{99} = 0.3663[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.4174 + 0.3663 = 0.7837[/tex]
0.7837 = 78.37% probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure.
c. Comment on the above findings.
The proportion of foreclosures in the Nation is lower than in Washington, which means that with a sample size of 100, it is likely to have a small number(fewer than 2) of foreclosures than Washington DC.
Anyone help?
.....hgzgxhlflhf
Answer:
it should be 152, can i please get brainliest
Step-by-step explanation:
5. For the final touches, John wanted to paint the house using 3 colors. If he has 5
gallons of paint for each color, write an equation for the total number of gallons of
paint he has?
Answer:
3 x 5 = 15
Step-by-step explanation:
To explain this in short, John has 5 gallons of 3 colors, meaning that 3 x 5 = 15 would be the appropriate equation to finish this question. I hope this helps!
Anyone know this please I really need help
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 2,5,8,... ?
Answer:
Arithmetic sequence with common difference of 3.
Step-by-step explanation:
Arithmetic sequence:
The difference between consecutive terms is always the same, and this difference is called common difference.
Geometric sequence:
The quotient between consecutive terms is always the same, and this quotient is called common ratio.
In this question:
5 - 2 = 8 - 5 = 3
5/2 = 2.5 different of 8/5 = 1.6
This means that it is an arithmetic sequence with common difference of 3.
help!!!!!!!!!!!!!!!!
A rectangle measures 3 1/4 inches by 3 3/4 inches. What is the area
Answer:
12.1875 or 195/16 or 12 3/16
Step-by-step explanation:
All you must do is multiply them by each other
hope this helps
Answer:
12.19 inches
Step-by-step explanation:
please mark brainliest
what is the measure of angle 1?
a. 36
b. 86
c. 89
d. 94
Answer:
D, 94
Step-by-step explanation:
Angles of a triangle add up to 180 degrees. 180 - 29 - 65 = 86 Angles 1 and 2 add up to 180 degrees. 86 = 2 180 - 86 = 94 94 = 1
Hope this helps! If it did, please mark it as brainliest! It would help me out a lot! :D
How does the size of the product change from problem to problem?
how could i find the value of this expression?
Answer:
you plug in the numbers
Step-by-step explanation:
Please mark brainliest!!
Answer:
√x⁴-y²
x²-y²
(x+y)(x-y)
when
x=3
y=-6
√x⁴-y²=(3-6)(3+6)=-3×9=-27 is your answer
Write the equation of a line in slope-intercept form if m=2 and b=8.
Answer:
y=2x+8
Step-by-step explanation:
The slope intercept form is:
y=mx+b
with m and b already given, just plug in m and b and you will get your answer.
Plz help it’s due tomorrow
Answer:
x=121 degrees
Step-by-step explanation:
Sorry if my work is a bit messy. If you need me to rewrite it i can
A rocket fired upward from some initial distance above the ground. Its height (in feet) h, above the ground t seconds after it is fired is given by h(t)=-16t^2+160t+384
What is the rockets maximum height?
After it is fired, The rocket reaches the ground at t=____ seconds
Answer:
Part A)
784 feet in the air (after five seconds).
Part B)
After 12 seconds.
Step-by-step explanation:
The height h (in feet) of a rocket t seconds after being fired is modeled by the function:
[tex]h(t)=-16t^2+160t+384[/tex]
Part A)
We want to find the rocket's maximum height.
Since our function is a quadratic, the maximum height will occur at its vertex. The vertex of a quadratic is given by:
[tex]\displaystyle \Big(-\frac{b}{2a}\, f\Big(-\frac{b}{2a}\Big)\Big)[/tex]
In this case, a = -16, b = 160, and c = 384.
So, the vertex occurs at:
[tex]\displaystyle t=-\frac{160}{2(-16)}=\frac{160}{32}=5\text{ seconds}[/tex]
The maximum height is reached after five seconds.
Then the maximum height is:
[tex]h(t)_\text{max}=h(5)=-16(5)^2+160(5)+384=784\text{ feet}[/tex]
Part B)
When the rocket reaches the ground, its height h above the ground will be 0. Hence:
[tex]h(t)_\text{ground}=0=-16t^2+160t+384[/tex]
Solve for t. We can first divide both sides by -16:
[tex]t^2-10t-24=0[/tex]
Factor:
[tex](t-12)(t+2)=0[/tex]
Zero Product Property:
[tex]t-12=0\text{ or } t+2=0[/tex]
Solve for each case:
[tex]t=12\text{ or } t=-2[/tex]
Time cannot be negative. Hence, our only solution is:
[tex]t=12\text{ seconds}[/tex]
The rocket reaches the ground 12 seconds after it is fired.
can i get help pls??
Answer:
119 or 124
Step-by-step explanation:
If US $1.00 is equivalent to EC $ 2.70, how much in US would one get from EC 297.00?
find the measurement of the question mark. please help image included.
9514 1404 393
Answer:
45°
Step-by-step explanation:
The base angles in any isosceles triangle are congruent.
? = 45°
__
The acute angles in any right triangle are complementary.
? = 90° -45° = 45°
__
However you decide to think about it, you get ? = 45°.
The ratio of two numbers is 7 to 5. The sum of the numbers is 36. What are the numbers?
A. 26 and 10
B. 18 and 8
C. 21 and 15
D. 14 and 10
Answer:
Step-by-step explanation:
a/b=7/5
a=7b/5
a+b=36, using 7b/5 for a we have
7b/5+b=36
7b/5+5b/5=36
12b/5=36
12b=180
b=15, and since a=7b/5
a=7(15)/5
a=21
So the numbers are 21 and 15
Answer:
C is the correct answer please like for more
Corey records the temperature in degrees Celsius each morning. At 8am the temperature was 3 degrees below zero. It rose 3 degrees by 10am. Which equation shows the change in temperature from 8am to 10am?
A 3+3=6
B-3+3=0
C-3+3= -6
D-3-3= -6