Answer:
22.5
Step-by-step explanation:
Everything equals 180. This means that the 90 degree angle creates half of that would mean that everything on the right side of the 90 degree angle, also has to equal 90 degrees. X=22.5 because you have to combine like terms meaning x + 3x = 90- 4x=90. Divide by 4 on both sides of the equals sign. Plug that into a calculator and you get 22.5 Since it is only asking for the singular x, you don't have to solve for 3x. (It would be 67.5)
A principal of $4200 is invested at 9% Interest, compounded annually. How much will the investment worth after 6 years? Use the calculator provided and round your answer to the nearest dollar
5. Emma, Brandy, and Damian will cut a rope that is 29.8 feet long into
3 jump ropes. Each of the 3 jump ropes will be the same length. Write a
division sentence using compatible numbers to estimate the length of
each rope
Answer:
29.8÷3=9.93333333333
Step-by-step explanation:
*note* the 3 is a repeating number
i take out the belt for u my I0ved 1.
no h0.mõ if u a man. . .
Answer:
Truw
Step-by-step explanation:
It is exceptional
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.
Solve for g.
3(q - 7) = 27
g=
Answer:
Step-by-step explanation:
Here you go mate
Step 1
3(q-7)=27 Equation
Step 2
3(q-7)=27 Simplify
3q-21=27
Step 3
3q-21=27 subtract +21
3q=48
Step 4
3q=48 Divide
answer
Q=16
Hope this helps
517 37/50 + 312 3/100
Answer: 829 3/4 or 829 75/100
Step-by-step explanation:
Convert each of these fractions into a percent.
a. 3/20 -
b. 1/20 -
c. 12/50 =
d. 80/200 =
e. 8/25 =
f. 8/10 =
g. 16/400 =
h. 24/300 =
i. 3/5 =
j. 3/2 =
k. 45/500 =
I. 30/25 =
Answer:
15%
5%
24%
40%
32%
80%
32%
54%
60%
66%
9%
89%
Step-by-step explanation:
2 divided into 3 multiply 1
Answer:
either 2/3
or 3/2
but its probably 2/3
thanks for the easy points!
Step-by-step explanation:
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
Learn more : https://brainly.com/question/15929089
Which one is a better deal? Deal 1: $7.65 for 9 iTunes songs Deal 2: $6.93 for 7 iTunes songs
Answer:
yeah I would say deal #1 is better
What is -20 + 1/2 in a decimal form
Answer: The answer is -19.5
Step-by-step explanation: This is because 1/2 is .5 in decimal form. A negative PLUS a positive = is negative since the -20 is larger than .5
Answer:
the answer would be -19.5 :)
Step-by-step explanation:
What is the length of the hypotenuse to the nearest hundredth place in the diagram
below?
570
4cm
A 2.60
B 6.16
C 4.77
D 7.34
What was the answer
Answer:D
Step-by-step explanation:
please look at the question, I uploaded it!
Answer:
angle JKL is 21
Step-by-step explanation:
the angle of the two triangles are the same, so (2x + 1) = (3x - 9)
You would then find the x, which equals to 10.
Then replace x with ten with the equation.
what are two ratios that are equivalent to 1:1
Answer:
2:14 and 3:21
Step-by-step explanation:
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.
Find the length of XY.
Answer:
XY = 50
Step-by-step explanation:
Triangle given in the picture,
Point B, C and D are the midpoints of the sides of the triangle.
By applying midsegment theorem in the given triangle,
"Segment joining the midpoints of two sides of a triangle is parallel and half of the length of the third side"
CD = [tex]\frac{1}{2}(XY)[/tex]
25 = [tex]\frac{1}{2}(XY)[/tex]
XY = 50
Therefore, XY = 50 is the answer.
Which example shows the distributive property?
a. a (b + c) = ab +ac
b. (a + b) + 9 = a (9 + b)
c. a + a + a = 3a
d. a(0)
Evaluate w divided by z if w= 6/7 and z= 3
Answer:
[tex]\dfrac{w}{z}=\dfrac{2}{7}[/tex]
Step-by-step explanation:
Given that,
[tex]w=\dfrac{6}{7}[/tex]
z = 3
We need to find [tex]\dfrac{w}{z}[/tex].
Put w = 6/7 and z = 3 in the w/z
[tex]\dfrac{w}{z}=\dfrac{\dfrac{6}{7}}{3}\\\\=\dfrac{6}{7}\cdot\dfrac{1}{3}\\\\=\dfrac{2}{7}[/tex]
So, [tex]\dfrac{w}{z}=\dfrac{2}{7}[/tex]. Hence, the correct answer is 2/7.
Write an expression for the sequence of operations described below.
q more than the quotient of 10 and p
Do not simplify any part of the expression.
Mrs kin picked some tomatoes from her garden. She use 5/9 of her tomatoes to make pasta sauce. Then she used 5/8 of the remainder to make a salad and saved the rest for the next day. What fraction of the tomatoes did mr kin saved
Answer:
1/6 of the tomatoes
Step-by-step explanation:
So first, after she uses 5/9 she has 1 - 5/9 = 4/9 of her tomatoes left. Then, she uses 5/8 of that 4/9 to make a salad, so she used 5/8 * 4/9 = 5/18 of her tomatoes overall. That means that she has 4/9 - 5/18 = 8/18 - 5/18 = 3/18 = 1/6 of her tomatoes saved.
Answer:
2 and 21/32
Step-by-step explanation:
Help Pleaseeeeeeeeeeeeee!!!!!!!!! Help!!!!!!!
Answer:
i think its C and E
Step-by-step explanation:
( correct me if im wrong, i hope this helps!! )
Order 0.5 , 0.66 , -1.5 , -1.25 from least to greatest
Answer:
-1.25, -1.5, 0.5, 0.66
hope it helps you
solve for x, x+25 70 degrees
Answer:
70-25=45
45+25=70
Step-by-step explanation:
Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8
Solution :
Days : 0 1 2 3 4 5 6 7
Probability : 0.68 0.05 0.07 0.08 0.05 0.04 0.01 0.02
This is a valid probability distribution.
In the question it is given that call for a response of Y for short of a sample of people aged between 19 years to 25 years.
Also the event that describes the value of call for response greater than 3 i.e. (Y < 3) is a randomly chosen people between the age 19 to 25 years old who has gone to fitness center or did exercise fewer than 3 days.
Valid probability models add up to 1
The probability is a valid probability model
The probability model is given as:
Days : 0 1 2 3 4 5 6 7
Probability : 0.68 0.05 0.07 0.08 0.05 0.04 0.01 0.02
To determine if the model is a valid probability model, or not
We make use of:
[tex]\mathbf{\sum P(x) = 1}[/tex]
So, we have:
[tex]\mathbf{0.68 + 0.05 + 0.07 + 0.08 + 0.05 + 0.04 + 0.01 + 0.02 = 1}[/tex]
Add the probabilities
[tex]\mathbf{ 1= 1}[/tex]
The above equations shows that:[tex]\mathbf{\sum P(x) = 1}[/tex]
Hence, the probability is a valid probability model
Read more about probability models at:
https://brainly.com/question/9965602
What percent of the large square is shaded?
Answer:
48%
Step-by-step explanation:
a little less than half is shaded
The percent of the shaded square will be 48%.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
A large square is shown in figure.
Now,
In a figure,
The number of small squares = 100
And, Number of shaded squares = 48
Hence, The percent of shaded square = 48/100 × 100
= 48%
Learn more about the percent visit:
brainly.com/question/24877689
#SPJ2
The amount of money spent weekly on cleaning, maintenance, and repairs at a large restaurant was observed over a long period of time to be approximately normally distributed, with mean μ = $633 and standard deviation σ = $45.
(a) If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount? (Round your answer to four decimal places.)
(b) How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.09? (Round your answer to the nearest dollar.)
$
Answer:
(a) 0.3863
(b) $693
Step-by-step explanation:
Mean μ = $633
Standard deviation σ = $45.
(a) If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount? (Round your answer to four decimal places.)
We solve this question using the z score formula
z = (x-μ)/σ
where:
x is the raw score
μ is the population mean
σ is the population standard deviation.
For x > $646
z = $646 - $633/$45
z = 0.28889
Probability value from Z-Table:
P(x<646) = 0.61367
P(x>646) = 1 - P(x<646) = 0.38633
Approximately = 0.3863
The probability that the actual costs will exceed the budgeted amount is 0.3863
(b) How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.09? (Round your answer to the nearest dollar.
Let the budgeted amount = x
Converting 0.09 to percentage = 0.09× 100% = 9%
100 - 9% = 91%
We find the z score of 91%
= 1.341
We are to find x
Using z score formula
z = (x-μ)/σ
1.341 = x - 633/45
Cross Multiply
1.341 × 45 = x - 633
60.345 = x - 633
x = 60.345 + 633
x = $693.345
Approximately to the nearest dollar is $693
as you see i kinda need help lol
Answer:
i believe the answer is C
Step-by-step explanation:
Total of three numbers is 45.5 two of them are equal the third one is half of other two what are the three numbers
Answer:
im taking a nap
Step-by-step explanation:
1. If the spinner below is spun once, find each
probability.
Answer: P(4) - 4/12,1/3,33%,0.33
Step-by-step explanation:
My teacher went over the answers
Please help me. I'm only in like 4th grade and I have no idea what to do.
Answer:
it false
Step-by-step explanation:
trust me
Answer:
your answer is True. for a explanation look under this.
Step-by-step explanation:
Hello let's work out this problem together
lets split this in half so 112/8 plus x and 15 + 4x -7
let's start off with part one 112/8 = 14 plus 2 is 16.
now part 2
15 + 4 times 2 -7
15 plus 8 -7
15 plus 1 = 16