Answer:
i hope this answers your question!
Step-by-step explanation:
175+x=405
Step 1: Simplify both sides of the equation.
x+175=405
Step 2: Subtract 175 from both sides.
x+175−175=405−175
x=230
The number that, when added to 175, equals 405 is 230.
To find the number that, when added to 175, equals 405, we can subtract 175 from 405. This will give us the missing number.
405 - 175 = 230
Therefore, 175 plus 230 equals 405.
To explain this process further, we can think of subtraction as the inverse operation of addition. By subtracting the known quantity (175) from the total (405), we are left with the missing quantity (230).
In other words, if we start with 175 and add 230 to it, we will end up with the desired sum of 405. This demonstrates the relationship between addition and subtraction and allows us to determine the missing number needed to reach the target sum.
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Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood. Assume this estimate is
correct. Suppose researchers choose 7 baby elk at random to monitor. Let X = the number that survive to adulthood.
What is the probability that more than 4 elk in the sample to survive to adulthood?
O 0.6294
O 0.2304
0.8598
0.1402
O 0.3706
Answer:
0.1402
Step-by-step explanation:
For each baby elk, there are only two possible outcomes. Either they survive adulthood, or they do not survive. The probability of an elk surviving adulthood is independent of other elks. So 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.
Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood.
This means that [tex]p = 0.44[/tex]
Suppose researchers choose 7 baby elk at random to monitor.
This means that [tex]n = 7[/tex]
What is the probability that more than 4 elk in the sample to survive to adulthood?
This is:
[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{7,5}.(0.44)^{5}.(0.56)^{2} = 0.1086[/tex]
[tex]P(X = 6) = C_{7,6}.(0.44)^{6}.(0.56)^{1} = 0.0284[/tex]
[tex]P(X = 7) = C_{7,7}.(0.44)^{7}.(0.56)^{0} = 0.0032[/tex]
[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) = 0.1086 + 0.0284 + 0.0032 = 0.1402[/tex]
0.1402 probability that more than 4 elk in the sample to survive to adulthood.
Using the concept of binomial probability, the probability that more than 4 survive is 0.1402
Using the binomial probability formula :
[tex] P(x = x) = nCx \times p^{x} \times q^{(n-x)} [/tex] p = probability of success = 0.44q = 1 - p = 1 - 0.44 = 0.56 n = number of trials = 7The probability that more than 4 survive can be defined thus :
[tex] P(x > 4) = p(x = 5) + p(x = 6) + p(x = 7) [/tex]Using a binomial probability calculator :
[tex] P(x > 4) = 0.1086 + 0.0284 + 0.0032 [/tex]
[tex] P(x > 4) = 0.1402 [/tex]
Hence, the probability that more than 4 survive is 0.1402
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I will give brainiest to whoever answers correctly !!
Answer:
it is not clear .... please add the question and send the link of the question
Answer:
$712.79
Step-by-step explanation:
Ana completed 40% of her math test yesterday. She completed 12 math problems. How many math problems are on her test?
Answer: 30
Step-by-step explanation:
Angle A is circumscribed about circle O. What is the measure of A?
Answer:
88°
Step-by-step explanation:
Connect A to O, you'll have 2 same right triangles and angle COB is going to be split in half.
Answer:
88
Step-by-step explanation:
36 over 9 = g over 1
Answer:
4/1
Step-by-step explanation:
g is 4
please answer thank you
Answer:
8.1 for the 2th awnser
Step-by-step explanation:
1.4 + 5.9+2.2=8.1
Answer:
z (3.4 + 4.6 + 2.2)
:)
If a = 5^x, b = 5^y and a^y×b^x = 25 then prove that: xy =1
[tex]a = {5}^{x} \\ b = {5}^{y} \\ {a}^{y} \times {b}^{y} = 25 \\ prove \: ( {5}^{x} )^{y} \times ( {5}^{y} ) ^{x} = 25 \\ {5}^{xy} \times {5}^{yx} = {5}^{2} \\ {5 }^{xy + yx} = 5^{2} \\ 5^{2xy} = {5}^{2} \\ is \: \: 2xy = 2 \\ xy = \frac{2}{2} \\ xy = 1[/tex]
The prove that xy is equal to 1 is given below.
What is logarithm and some of its useful properties?
When you raise a number with an exponent, there comes a result.
Lets say you get
a^b = c
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
[tex]log_a(c) b = \log_a(c)[/tex]
'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'
Some properties of logarithm are:
[tex]\log_a(b) = \log_a(c) \implies b = c\\\\\log_a(b) + \log_a(c) = \log_a(b \times c)\\\\\log_a(b) - \log_a(c) = \log_a(\frac{b}{c})\\\\\log_a(b^c) = c \times \log_a(b)\\\\\log_b(b) = 1\\\\\log_a(b) \times log_b(c) = \log_a(c)[/tex]
Log with base e = 2.71828... is written as
ln(x)\ln(x)
simply.
Log with base 10 is written as
[tex]\log(x)[/tex]
We are given that;
a = 5^x, b = 5^y and a^y×b^x = 25.
Now,
To prove that xy = 1, we can use the properties of exponents and logarithms. Here are the steps:
1. Given that a = 5^x and b = 5^y, we can substitute these expressions into the equation a^y×b^x = 25 and get:
(5^x)^y × (5^y)^x = 25
2. Using the property that (a^b)^c = a^(bc), we can simplify the left-hand side of the equation and get:
5^(xy + yx) = 25
3. Using the property that a^b = c is equivalent to log_a(c) = b, we can take the logarithm of both sides of the equation with base 5 and get:
log_5(5^(xy + yx)) = log_5(25)
4. Using the property that log_a(a^b) = b, we can simplify the left-hand side of the equation and get:
xy + yx = log_5(25)
5. Using the property that log_a(b) = log_c(b) / log_c(a), we can change the base of the logarithm on the right-hand side of the equation to any other base, such as 10, and get:
xy + yx = log_10(25) / log_10(5)
6. Using a calculator or a table of logarithms, we can evaluate the right-hand side of the equation and get:
xy + yx ≈ 2 / 0.69897
7. Simplifying the fraction on the right-hand side of the equation, we get:
xy + yx ≈ 2.8614
8. Since xy and yx are symmetric, we can divide both sides of the equation by 2 and get:
(xy + yx) / 2 ≈ 2.8614 / 2
9. Simplifying both sides of the equation, we get:
xy ≈ 1.4307
10. Since x and y are integers, we can conclude that xy must be an integer as well. The only integer that is close to 1.4307 is 1.
Therefore, by logarithm properties we can say that xy = 1.
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Solving a word problem on proportions using a unit rate
Kala drove 315 miles in 5 hours.
At the same rate, how long would it take her to drive 693 miles?
Answer: It would take Kala 11 hours to drive 693 miles
Step-by-step explanation:
315/5=63 miles an hour
693/63=11 hours
It would take Kala 11 hours to drive 693 miles
Seven more than three times a number is thirty-one. Write an equation
and solve for the unknown number.
Answer:
As an equation, (we'll use x as the variable), that word problem is 3x+7=31.
To solve we'd subtract 7 from both sides to isolate 3x, which gives us 3x=24. Now, to isolate x(unknown number) we would divide both sides by 3. When you divide both sides by 3, you'd get x=8.
the product of two number is 20 and the sum of square is 41 find the number
Let the two number is a and b
so,
product =ab=20
sum of square=[tex]\bold{a^2+b^2=41 }[/tex]
Then,
[tex]\bold{(a+b)^2=a^2+b^2+2ab }[/tex]
[tex]\bold{ (a+b)^2=41+2×40 }[/tex]
[tex]\bold{ (a+b)^2=81 }[/tex]
[tex]\bold{a+b=\sqrt{81} }[/tex]
[tex]\bold{a+b=9 }[/tex]•••••••••(equation I)
Now,
[tex]\bold{(a-b)^2=a^2+b^2-4ab }[/tex]
[tex]\bold{ (a-b)^2=41-4×20 }[/tex]
[tex]\bold{(a-b)^2=41-40 }[/tex]
[tex]\bold{a-b=\sqrt{1} }[/tex]
[tex]\bold{a-b=1 }[/tex]••••••••(equation II)
Now,combine the equation I and equation II
we,get
[tex]\bold{a+b+a-b=9+1 }[/tex]
[tex]\bold{a+\cancel{b}+a\cancel{-b}=10 }[/tex]
[tex]\bold{ 2a=10 }[/tex]
[tex]\bold{a=\dfrac{10}{2} }[/tex]
[tex]\blue{\boxed{ a=5 }}[/tex]
Then,
put the value of a in equation II.
we get that,
[tex]\bold{5-b=1 }[/tex]
[tex]\bold{b+1=5 }[/tex]
[tex]\bold{b=5-1 }[/tex]
[tex]\bold{\boxed{\blue{b=4}} }[/tex]
so,
The two number is 5 and 4.
which of the following are functions.
Answer:
Graph ii and iii
Step-by-step explanation:
In graph ii and iii, every input has one and only output. Another way to check is by doing the vertical line test.
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Please help ASAP and leave a small explanation :)
Please help. The few questions I need help with are in the image below. Thanks.
Answer:
3) 21/60= 0.35
4) 5/4= 1.25
5) 9/15= 0.6 or 2/3
6) 378/15= 25.2 or 25 and 1/5
7) 1 1/2/ 2/3= 2.5
8) 28 1/3 / 3 1/3= 8.5
Step-by-step explanation:
hope this helps!
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mary has 200ml of hand sanitizer that is 15% alcohol she mixes it with 200ml of a hand sanitizer that is x% alcohol how many ml is in the 2nd hand sanitizer?
Answer:
I am pretty sure it is 400ml hope this helps
Answer:
2(x+15)
Step-by-step explanation:
For 22 days out of the month, Brian rides his bike 16 miles a day. About how many miles does Brian ride in one month? Solve the problem and explain how you estimated the product.
28) Solve the inequality: 12x−10>170
A. x>15
B. x<−90
C. x<−58
D. x<15
Answer:
p=5x+3y
solve for x, number of cupcakes. isolate x
5x=p-3y
divide by 5
x=(p-3y)/5
Step-by-step explanation:
D. x<15
9. Translate the sentence into an equation and solve. Use x as the variable.
The difference between six times a number and four is equal to fifty.
A. 6(x-4) = 50; x = 9
B. 6x - 4 = 50; x = 9
C. 6 +X-4 = 50; x = 12
D. 6x-4 = 50; x = -9
Answer:
Option B: 6x-4=50; x=9 is the correct answer.
Step-by-step explanation:
Given that:
x is the variable used for number.
6 times a number means 6x and difference means subtraction.
Thus according to given statement;
6x - 4 = 50
Adding 4 on both sides
6x - 4 + 4 = 50+4
6x = 54
Dividing both sides by 6
[tex]\frac{6x}{6}=\frac{54}{6}\\x=9[/tex]
Hence,
Option B: 6x-4=50; x=9 is the correct answer.
applied the distributive property to factor out the greatest common factor 35 + 14
Answer:
35+14=7(5+2) , so you have the alternative way of computing the sum.
49=7(7)
Answer:
35+14=7(5+2)
Step-by-step explanation:
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Answer:
C=12π
Step-by-step explanation:
C=2πr
Radius is half of Diameter.
C= 2π(6)
C=12π
Determine the solution 5(2x-6)=7x-3
Answer:
X=9
Step-by-step explanation:
10x-30 = 7x-3
10x-7x = -3 + 30
3x = 27
x=9
What is the sample space of rolling a 6 sided number cube? SELECT ALL THAT APPLY
1
2
3
4
5
6
Answer:
Its all of them or just 6
Step-by-step explanation:
What is an angle that is complementary to DGE?
(Please hell I’ll reward)
Answer:
<CGD
Step-by-step explanation:
Since m<CGB = right angle = 90°, therefore:
m<CGE = 90° (linear pair angles)
Complementary angles add up to 90°.
Thus, m<CGD + m<DGE = m<CGE = 90°.
Therefore, the angle that is complementary to <DGE is <CGD
find the value of x in the following parallelogram:
6x-15=5x+10=x+15
Answer:
x=6
Step-by-step explanation:
Events A and B are dependent. Find the missing probability.
P(A) = 0.6
P(B\A) = 0.2
P(A and B) = ???
Answer:
P(A and B) = 0.12
Step-by-step explanation:
Conditional Probability
Is a measure of the probability of the occurrence of an event, given that another event has already occurred. If event A has occurred, then the probability that event B occurs is given by:
[tex]{\displaystyle P(B\mid A)={\frac {P(B\cap A)}{P(A)}}}[/tex]
Where [tex]P(B\cap A)[/tex] is the probability that both events occur and P(A) is the probability that A occurs.
We are given P(A)=0.6, P(B\mid A)=0.2, and it's required to find P(B\cap A). Solving for the required variable:
[tex]P(B\cap A)=P(B\mid A)*P(A)[/tex]
[tex]P(B\cap A)=0.2*0.6=0.12[/tex]
P(A and B) = 0.12
Identify each point as a solution of the system or not a solution of the system.
7 6 5 3 2
23
4 5
6
7
-1
5
(0,4)
(-2,4)
(0,5)
Answer:
I think it is ether-1 or o,5
Answer:
Did you got the answers for this whole I need them please
i need help with finding area whats the area of a 3m an 7m regtangle
Answer:
34
Step-by-step explanation:
Answer:
Area of rectangle =LXB
L=7m
B=3m
so 7m multiply by 3m gives 21 so the area is 21
Solve this equation with ÷, ×, -, or +.
18 _ 2 × 4 = 26
Answer:
+
Step-by-step explanation:
b/c
18+2×4
18+8
26
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SOMEONE PLEASE HELP ME THIS IS ALMOST DUE AND I NEED THE RIGHT ANSWER PLZ!!!
if you roll a pair of dice, what is the probability that both are 3's or that the sum is more than 8
Answer:
11/36
Step-by-step explanation:
We have 36 possible outcomes when rolling a pair of dice.
Only 1 outcome gets both 3's. (3 3)
For the sum to be greater than 8, there are 10 outcomes.
(3 6) (4 5) (4 6) (5 4) (5 5) (5 6) (6 3) (6 4) (6 5) (6 6)
The probability is therefore (1+10)/36=11/36.
When the balloon touched the wall, it stayed there. What is the best explanation for the balloon staying on the wall?
Answer:
When the negatively charged balloon approaches a wall, the negative charges in the wall are repelled (or pushed away)
Step-by-step explanation:
As the two come in contact, the balloon will stick because of the rule that opposites attract (positive to negative)