Answer:
180mStep-by-step explanation:
[tex]5m \times xm = 900 {m}^{2} \\ xm = \frac{900 {m}^{2} }{5m} \\ x = 180m[/tex]
3(1.07)^18 can you please help??
the answer should be 10.13979682
In a survey of 250 voters, 3 out of 5 voters said they planned to vote for a proposed
new county library.
a) how many of these voters plan to vote for the library?
N
b) how many are not planning to vote for the library?
Business Weekly conducted a survey of recent graduates from the top MBA programs. On the basis of the survey, assume that 60% of the recent graduates annual salary exceeds $40000. Suppose you take a simple random sample of 51 recent graduates. Note: round all z scores to decimal places and all other numbers to 4 decimal places. Find the probability that less than 70% of the 51 recent graduates have an annual salary exceeding $40000
Using the normal distribution and the central limit theorem, it is found that there is a 0.9279 = 92.79% probability that less than 70% of the 51 recent graduates have an annual salary exceeding $40000.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].In this problem, we have that:
60% of the recent graduates annual salary exceeds $40000, hence p = 0.6.A sample of 51 is taken, hence n = 51.The mean and the standard error are given by:
[tex]\mu = p = 0.6[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.6(0.4)}{51}} = 0.0686[/tex]
The probability that less than 70% of the 51 recent graduates have an annual salary exceeding $40000 is the p-value of Z when X = 0.7, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.7 - 0.6}{0.0686}[/tex]
[tex]Z = 1.46[/tex]
[tex]Z = 1.46[/tex] has a p-value of 0.9279.
0.9279 = 92.79% probability that less than 70% of the 51 recent graduates have an annual salary exceeding $40000.
To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
What is the area of the following circle?
Answer:
Step-by-step explanation: A= π r²
π=3.14
4x4 = 16
so 3.14 x 16 =50.24
The triangles shown below must be congruent
True or false
Answer:
true is the correct answer
Step-by-step explanation:
hope it's help you
please mark me as brainlist answer
(25 pts!!! help needed asap) x2y3z Write the expression in exponential form. A) x2yz4 B) x6y7z4 C) x 1 2 y 3 4 z D) x 1 2 y 3 4 z 1 4
Answer:
D
Step-by-step explanation:
Given expression :
[tex]\sqrt[4]{x^{2}y^{3}z }[/tex]Solving :
A number with the 4th root is the same as a number raised to the power 1/4[tex](x^{2})^{1/4}(y^{3})^{1/4}(z)^{1/4}[/tex][tex]x^{\frac{1}{2}} y^{\frac{3}{4}}z^{\frac{1}{4} }[/tex] [Option D]Answer:
D [tex]\sf x^{\frac12} y^{\frac34} z^{\frac14}[/tex]
Step-by-step explanation:
[tex]\sqrt[4]{\sf x^2y^3z}=\sqrt[4]{\sf x^2y^3z^1}[/tex]
Apply the Radical Product Rule [tex]\sqrt{\sf ab} =\sqrt{\sf a}\sqrt{\sf b}[/tex] :
[tex]\implies \sqrt[4]{\sf x^2}\sqrt[4]{\sf y^3}\sqrt[4]{\sf z}[/tex]
Apply fractional exponent rule [tex]\sqrt[n]{\sf a^m} = \sf a^{\frac{m}{n}}[/tex] :
[tex]\sf \implies x^{\frac24} y^{\frac34} z^{\frac14}[/tex]
Simplify:
[tex]\sf \implies x^{\frac12} y^{\frac34} z^{\frac14}[/tex]
Complete the square to transform the expression x2 4x 2 into the form a(x − h)2 k. (x 2)2 − 2 (x 2)2 2 (x 4)2 − 2 (x 4)2 2.
The square transforms the expression [tex]\rm x^{2} +4x + 2^{2}[/tex] into the form [tex](x+2)^2-2[/tex].
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
write in the form of [tex](x+y)^{2}[/tex]
[tex]\rm x^{2} +2xy + y^{2}[/tex]
2y = 4
y = 2
so, [tex]\rm x^{2} +4x + 2^{2}[/tex]
we will now convert it into the form
[tex]\rm x^{2} +2xy + y^{2}[/tex] = [tex]\rm (x+y)^{2}[/tex]
substitute the values
[tex]\rm x^{2} +4x + 2^{2} = (x+2)^{2}[/tex]
[tex](x+2)^2-2+2^2[/tex]
[tex](x+2)^2-2[/tex]
Thus, [tex](x+2)^2-2[/tex] is the correct form.
Learn more about a quadratic equation here:
brainly.com/question/2263981
Which of the following statements about check-cashing companies is FALSE?
Answer:
there are no statements...
50(17 + 5)
15(25 – 4)
40(39 + 14)
10(5 + 12)
22(14 – 3)
Answer:
Step-by-step explanation:
1)1100=50x22
2)315=15x21
3)2120=40x53
4)170=10x17
5)242=22x11
please rate and mask as brainlest.
Ms. Sanchez's students were asked how many hours they spend participating in organized sports each week. Each row of the table represents one sample from the class. 5 Number of Hours Playing Sports 5 3 0 2 5 2. 6 2 3 4 3. 0 1 0 3 6. What is the mean of the sample in the third row? 0 2.2 2.8 O 3.0 0 3.4
Answer:
1.62857142857
Step-by-step explanation:
Im sure you can round to 1.6 or 1.62.
Math homework, thanks
Answer:
X=79
Step-by-step explanation:
180-135=45
45+56=101
180-101=79
solve pls brainliest
Answer: The answer is -15/7
Step-by-step explanation: Think of the 3 as 3/1. You then have the equation as -5/7 x 3/1. Multiply straight across so it would be 5 x 3 and -7 x 1. It doesn't matter what you do with the negative as long as it is in the final answer. It could be in the denominator or the numerator. So that answer is -15/7.
HOPE THIS HELPED!
Answer:
-1 1/7 :)
Step-by-step explanation:
[tex]-\frac{5}{7}[/tex] x 3
[tex]-\frac{5}{7}[/tex] x [tex]\frac{3}{1}[/tex]
[tex]-\frac{15}{7}[/tex]
Now lest simplify it!!
-1 [tex]\frac{1}{7}[/tex]
Hope this helps!!
Have a great day!!
Please rate and mark brainliest!!
What is the following sum? 4 (RootIndex 5 StartRoot x squared y EndRoot) 3 (RootIndex 5 StartRoot x squared y EndRoot).
The sum of the given data will be 7 ⁵√x²y. The result or answer we obtain when we count two or more digits or terms is known as a sum.
What is the sum?The result or response we obtain when we add two or more numbers or terms is known as a sum.
The given terms will be
[tex]\rm x= 4\sqrt[5]{x^2y} \\\\ \rm y= 3\sqrt[5]{x^2y}[/tex]
The sum is found as;
S= x+y
[tex]\rm S=\rm 4\sqrt[5]{x^2y} + 3\sqrt[5]{x^2y} \\\\ \rm S=\sqrt[5]{x^2y} (4+3) \\\\ \rm S=7\sqrt[5]{x^2y}[/tex]
Hence the sum of the given data will be 7 ⁵√x²y.
To learn more about the sum refer to the link;
https://brainly.com/question/13013054
Answer:
Its C
Step-by-step explanation:
TRUST>>>
Ello can you solve #14 ty
Answer:
(x, y, z) ≈ (30.375, 12.369, 13.915)
Step-by-step explanation:
You can make use of the fact that all of these right triangles are similar. That mean the ratio of the hypotenuse to the long side is the same for each of them.
27/24 = x/27
x = 27²/24 = 30.375 . . . . . . multiply by 27
__
Likewise, the ratio of short side to long side is the same for each:
y/24 = (30.375 -24)/y
y² = 24(6.375)
y = √153 ≈ 12.369
__
And the ratio of short side to hypotenuse is the same:
z/30.375 = 6.375/z
z² = 30.375×6.375 = 193.640625
z = √193.640625 ≈ 13.915
You have a job as a teacher. Your salary for the first year is $37,185.
You will receive a 6% increase every year.
Part A Would an arithmetic or geometric sequence best model this situation?
- Arithmetic
- Both
- Neither
- Geometric
Part B: What explicit formula models this situation?
- an=37185*(.06)^n-1
- an=37185*(1.06)^n-1
- an=6*(37185)^n-1
- an=6*(1.06)^n-1
Part C: How much will your salary be at the start of your 5th year?
- $37,192.57
- $42,564.25
- $46,945.21
- $223,110.00
Answer:
a). Geometric sequence
b).
c). $46945.21 will be the salary at the start of 5th year.
Step-by-step explanation:
My salary for the first year is $37185.
If I get an increase of 6% every year then the next year salary will be,
= $39416.1
Similarly in the second year my salary will be
= $41781.07
So the sequence becomes $37185, $39416.1 $41781.07.....
And there is a common ratio in each successive term 'r' = 1.06
a). Therefore, it's a geometric sequence.
b). Explicit formula for this sequence will be in the form of
Where t = duration in years
c). Salary at the start of 5th year,
= $46945.21
Step-by-step explanation:
Answer pls in fractions
Answer:
4/5 yd^3
Step-by-step explanation:
(2/3)(3/1)(2/5) = 12/15 = 4/5
Answer:
4/5 I believe?
Step-by-step explanation:
Multiply all the numbers together :)
4 9/10 X 1/4. {State your answer as a mixed number in simplest form.} State your answer as a mixed number in simplest form
Answer:
1 9/40
Step by step explanation:
\frac{49}{40}=1\frac{9}{40}
Let x be a random variable with uniform distribution on (100,200). Find the probability that x assumes a value
The probability that x assumes a value less than three standard deviations from the mean is 1.
What is uniform distribution?The continuous uniform distribution, sometimes known as the rectangle distribution, is a family of symmetric probability distributions in probability theory and statistics.
We have:
x be a random variable with uniform distribution on (100,200).
It is required to find the probability that x assumes a value less than three standard deviations from the mean.
From the empirical rule, the data falls within three standard deviations of the mean in 99.7% of cases.
99.7% data from the (100, 200) is up to 199.7
Total number of favourable outcomes = 99.7
The probability that x assumes a value less than three standard deviations from the mean:
= 99.7/(200-100)
= 0.997 ≈ 1
Thus, the probability that x assumes a value less than three standard deviations from the mean is 1.
Learn more about the uniform distribution here:
https://brainly.com/question/13233983
#SPJ4
Demarcus has to wrap a gift for his friend's birthday party. The gift is in a rectangular
box with the dimensions shown below. He's trying to figure out how much gift wrap
he needs to cover the entire box. Should he calculate the total surface area or the
lateral surface area? Pick the right measurement and then calculate it for him.
In your answer, specify whether he should use total surface area or lateral surface
area. Calculate the one you choose, give that measurement of the box, and then
explain how you calculated it.
13 in
20 in
8 in
Demarcus should calculate the total surface area of the rectangular prism and the measurement is 1,048 in²
How to calculate the total surface area of a rectangular prismLength = 20 inwidth = 8 inHeight = 13 inTotal surface area = 2(lw + hw + lh)
= 2(20×8 + 13×8 + 20×13)
= 2(160 + 104 + 260)
= 2(524)
= 1,048 in²
Learn more about surface area:
https://brainly.com/question/1310421
Find the midpoint of A and B where A has coordinates (2, 4)
and B has coordinates (-3, -9).
Answer:
(-0.5,-2.5)
Step-by-step explanation:
(x1 + x2) / 2 = x midpoint(y1 + y2) / 2 = y midpointX:⇒ 2 + -3 = 5
⇒ 5 / 2 = -0.5
Y:⇒ 4 + -9 = -5
⇒ -5 / 2 = -2.5
→ = (-0.5, -2.5)
Answer:
X = -0.5
Y = -2.5
Step-by-step explanation:
I found this by the forumla determine the X1 and X2 add the together then divide it by 2 for the value of X midpoint. Then add Y1 and Y2 and divide it by 2 together for the value of Y midpoint.
I WILL GIVE BRAINLIEST! PLEASE HELP ME!
needless to say that the conversion from miles to kilometers uses a constant value, and therefore, they're directly proportional.
now, I could write the direct proportional relation blah blah but there's no need, we can simply squeeze it out of the table by simply checking how many kilometers there are in 1 mile.
well, we know that 11.0 miles give us 17.699 km, ok hmmm if we divide 17.699 ÷ 11 = 1.609.
if we do the same on table for 26 and 41.834, so 41.834 ÷ 26 = 1.609, and the next pair 54.706 ÷ 34 = 1.609, the value of 1.609 is consistent or constant, or namely that there are 1.609 kilometers in 1 mile.
Find the area of a rectangle with a length of 11.2 inches and a height of 9.4 inches
show your work
Please help
2 1/8 - 1 1/4 can someon e help????
Answer:7/8
Mixed number just do it
Which inequality does the graph represent?
Answer:
The answer is
x < -1
Step-by-step explanation:
I hope it helps!
what are three expressions that are equivalent to 15+45
Answer:
40+20, 50+10, 46+14
Step-by-step explanation:
15+45=60 = 50+10=60 46+14=60
Please helpppp neeed doneeee asappp
Answer:
abnormal condition of sardines
Step-by-step explanation:
what?
Let n be a positive integer. z^n is the set of all lists of length n whose
entries are in z. prove that z^n is countable. (hint: find a bijection
between z^(n−1) × zand z^n and then use induction.)
Is the following number rational or irrational?
200
Choose 1 answer:
A
Rational
В B
Irrational
Answer:
A Rational
Step-by-step explanation:
Because 200 can be represented as 200/1, it shows that it can be made into a fraction unlike irrational numbers.
Find the first three terms the described arithmetic series:
n=8
an= 36
a1=-6
Sn=120
The 40 and 50 degree angles are?
Answer:
40 degrees is acute, 50 is also acute and they both make up a right angle (90 degrees)
Step-by-step explanation: