Answer:
The answer is "78.25%"
Step-by-step explanation:
Given:
[tex]\mu =20\\\\\sigma=1.4[/tex]
[tex]p(18.48<x<22.63)=p(\frac{18.48-20}{1.7}<\frac{\bar{x}-\mu}{\sigma}<\frac{22.63-20}{1.4})\\\\[/tex]
[tex]=p(\frac{-1.52}{1.7}<Z<\frac{2.63}{1.4})\\\\=p(-0.89<Z<1.87)\\\\[/tex]
[tex]=p(Z<1.87)-p(Z<-0.89)\\\\[/tex]
[tex]=0.969258-0.1867329\\\\=0.7825251\\\\=78.25 \%[/tex]
A television is on sale for 20% of the original price of $750. How much does it cost ?
Answer:
$600
Step-by-step explanation:
[tex]20\% \: of \: 750 \: is = [/tex]
[tex] \frac{20}{100} \times 750[/tex]
[tex] = 150[/tex]
Subtract 150 from 750 to get discount price
[tex]750 - 150 \\ = 600[/tex]
Therefore, the discount price is $600
Solve for m. Write your answer as an inequality expression using the correct symbol.
m + 7 ≥ 20
PLZ help
Answer: m ≥ 13
m + 7 ≥ 20
Step-by-step explanation:
you basically subract 7 from 20 and 7
7-7 will cancel each other out 20-7 will give you = 13
m ≥ 13 is your answer
A height is labeled on the triangle below.
Which line segment shows the base that corresponds to the given height of the triangle?
B
height
А
Choose 1 answer:
(A)
А
(В)
B
С
С
Answer:
B
Step-by-step explanation:
Can someone please give me the answer
Answer:
12 and square
Step-by-step explanation:
Renee is designing a logo for an airline. She starts by making a figure with angle measures as shown. She
measures AB and finds that the length of the segment is 5 inches. Can she determine the length of DB
without measuring? Complete the explanation of how she can or cannot.
А
17°
B
110°
110°
C С
17°
D
AABC (select) ADBC by the (select) Triangle Congruence Theorem AB and D8 are
corresponding parts, and corresponding parts of congruent triangles are congruent, so she can conclude
that DB
inches
Find the area. Please help im begging! ( Multiple choice )
Answer:
B) 700.6A) 440Step-by-step explanation:
Use formula:
A = 1/2 Pa, where P-perimeter of the polygon, a- apothem1)
A = 1/2(7*13.9)(14.4) = 700.56 ≈ 700.6Correct choice is B
2)
A = 1/2(5*16)(11) = 440Correct choice is A
G(0,-5) and H(0,-10)
Step-by-step explanation:
cooool
so
what's the question?
–20, –16, –12, –8, –4, . . . What is the the sum of the first 30 terms of the sequence?
Answer:
Step-by-step explanation:
This is an arithmetic sequence because each term subtracted by the previous term is a constant called the common difference.
an=a+d(n-1) where a is the initial term and d is the common difference
a=-20 and d=-16+20=4 so
an=-20+4(n-1)
an=4n-24
The sum of an arithmetic sequence is the average of the first and last terms times the number of terms
sn=(a1+an)(n/2)
s30=(-20+4(30)-24)(30/2)
s30=1140
The sum of the first 30 terms of the sequence –20, –16, –12, –8, –4, . . . is obtained being 1140
What is the sum of terms of an arithmetic sequence?Arithmetic sequence is a sequence where each consequtive term has a common constant difference.
An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term and the common difference.
Let the starting term be 'a' and common difference be 'd', then we get the arithmetic sequence as:
[tex]\rm a, a+d, a+2d, \cdots[/tex]
The sum of the first 'n' terms of that sequence is is:
[tex]\rm a + (a+d) + (a+2d) + \cdots + (a+(n-1)d) = \dfrac{n}{2}[2a + (n-1)d ][/tex]
For this case, the series –20, –16, –12, –8, –4, . . . starts from a = -20,
and each next term is obtained by adding d = 4 in previous term.
Thus, the sum of the first n = 30 terms of that sequence is evaluated as:
[tex]S_n = \dfrac{n}{2}[2a + (n-1)d ]\\\\S_{30} = \dfrac{30}{2}[2(-20) + (30-1)(4) ] = 15(-40 +116) = 15 \times 76 = 1140[/tex]
Thus, the sum of the first 30 terms of the sequence –20, –16, –12, –8, –4, . . . is obtained being 1140
Learn more about arithmetic sequence here:
https://brainly.com/question/3702506
#SPJ2
find the average
sample 1
70
60
50
42.5
41
Answer:
52.7
Step-by-step explanation:
average=add up the number divide by the number of numbers
70+60+50+42.5+41=263.5
263.5/5=52.7
Write the number has a fraction 19
Answer:
19/1
Step-by-step explanation:
Hi,
Any whole number written as a fraction is simply that number over one :)
If you were to write 80 as a fraction, it would be 80/1.
And so on...
I hope this helps <3
Someone help please, this is due in 10 minutes and I dont know the answer.
Answer:
Step-by-step explanation:
Rate of change = the difference in y/the difference in x.
20 - 6.50/4 - 1 = 13.5/3 = 4.5/1
24.5 - 20/5 - 4 = 4.5/1
33.5 - 24.5/7 - 5 = 9/2 = 4.5/1
The rate of change is 4.5.
what is the absolute value of -5+9
Simplify expressions. please help. Thanks
The answer is 19/14x + 97/56
Answer:
not sure
Step-by-step explanation:
i'm confused
here are two numbers which add up to 17. If one number is 13 more than the other, find the two numbers.
Answer:
X+y=17
X=y+13
y+13+y-13=17-13
2y. =4
y=2.
X=2+13
X=15
the two numbers are 2 and 15
find the least-squares regression line treating the FICO score, x, as the explanatory variable and the interest rate, y, as the response variable
Answer:
ŷ = -0.07637X + 61.36874
Step-by-step explanation:
Score, x :
545
595
640
675
705
750
Interest %, y:
18.982
17.967
12.218
8.612
6.680
5.150
Using the ordinary least square regression calculator :
The equation of best fit obtained is :
ŷ = -0.07637X + 61.36874
Slope = - 0.07637 (depicts a negative relationship between the variables).
Intercept = 61.36874
Score, X = explanatory variable ; Interest rate, Y = response variable
Provide a full and complete explanation for the ratios of a 30-60-90 right triangle. Your explanation should include plain English explanation as well as mathematical explanation in the form of equations and symbols. While pictures could be helpful, they are not required and will not be scored as part of the solution.
Answer:
Step-by-step explanation:
a 30-60-90 right triangle is a right triangle because of the 90
the 30 and the 60 have to make 90 too since traingles make 180
30 + 60 + 90 = 180
so 30-60-90 is a right triangle.
Right triangles also can use pythagoran theorem, so the angle ratio is
30-60-90
but the side ratio is
a² + b² = c²
Respect to the lines
Answer:
i think x=4
Step-by-step explanation:
Answer:
yeah it's x = 4
Step-by-step explanation:
Since 2007, a psychological association has supported an annual nationwide survey to examine stress across the United States. One year, a total of 760 millennials (18- to 33-year-olds) were asked to indicate their average stress level (on a 10-point scale) during a month. The mean score was 5.5. Assume that the population standard deviation is 2.8. Give the margin of error for a 95% confidence interval. (Enter your answer to three decimal places.)
Answer:
The margin of error for a 95% confidence interval is 0.199.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Assume that the population standard deviation is 2.8.
This means that [tex]\sigma = 2.8[/tex]
760 millennials (18- to 33-year-olds)
This means that [tex]n = 760[/tex]
Give the margin of error for a 95% confidence interval.
[tex]M = z\frac{\sigma}{\sqrt{n}} = 1.96\frac{2.8}{\sqrt{760}} = 0.199[/tex]
The margin of error for a 95% confidence interval is 0.199.
Please
Help me
With this question
Someoneeee!!!
Answer:
Circumference: 69.11 m
Area: 380.13 m
Cos Milky said it. Trust Milky. Milky Smart.
The sum of all even numbers from 0 to 420 is
Answer:
the sum of all even number from 0 to 420 is 175980
GIVING BRAINIEST!!!! I NEED THE INEQUALITY SENTENCE FOR IT!!!
Kevin correctly answered 75% of 32 test questions. How many questions did Kevin answer correctly? How many more questions would Kevin have had to answer correctly to get more than 80% correct?
Answer:
At least 26 questions to get around an 82% not 25 because that equals 78%
Step-by-step explanation:
Answer:
Kevin answered 24 questions correctly.
Kevin would have to answer 25.6 questions correctly to get more than 80%.
Can someone help me? I’ll reward points + brainalist
Answer:
31.4
Step-by-step explanation:
taking π = 3.14
circumference = 3.14 × 10
WILL GIVE BRAINLIEST FOR CORRECT ANSWER Find the area of the shaded region only ( the purple part) :)
The system of equations 2y = 14 - 2x and y=-x+ 7 is
graphed. What is the solution to the system of equations?
yt
14
13
12
(0,-7)
11
10
9
(0,0)
8
7
6
2y = 14 - 2x
y = -x + 7
infinitely many
solutions
5
4
3
2.
1
no solution
0
0 1 2 3 4 5 6 7 8 9 10 11 12 x
Answer:
Infinitely many solutionsStep-by-step explanation:
Given system:
2y = 14 - 2x y = -x + 7Divide the first equation by 2 and rearrange:
2y/2 = 14/2 - 2x/2y = 7 - xy = -x + 7We got the same equation with the second one. It means we have two of the same lines overlapping.
This gives us infinitely many solutions.
E
Question 2/3
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x
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2
Today, John ran 15 miles in 2 hours and 30 minutes. He wants to represent the relationship between the distance he ran in miles, and the time, in hours, as
proportional in order to examine his times at various distances. Write an equation that John can use to represent a proportional relationship between
distance, d, in miles, and time, t, in hours.
07:52
Answer:
lol dont know
Step-by-step explanation:
I need help with with question.
Answer:
pythagorean theorem is the way to go
a squared plus b squared =c squared
15 squared plus 8 squared is equal to c squared
so i believe the answer is 17
Step-by-step explanation:
15 squared is 225
225 + 64
64 is 8 squared
that is 289
THE ANSWER IS 17
What is the simple interest rate on a $2300 investment paying $906.20 interest in 19.7 years?
Answer:
2%
Step-by-step explanation:
Given data
Principal=$2300
Simple interest=$906.20
Time= 19.7years
Required
The rate in percentage
We know that
SI=PRT/100
substitute
906.20=2300*R*19.7/100
906.20=45310R/100
cross multiply
906.20*100= 45310R
90620= 45310R
R= 90620/45310
R=2%
Hence the rate is 2%
Find y if the line through (5, 2) and (7, y) has a slope of 4.
Y=___
Answer:
5
Step-by-step explanation:
A population of 250 wild turkeys decreases by 2.2% per year. At the end of 8 years, there will be approximately 209 turkeys in the population. Which function can be used to determine the number of turkeys, y, in this population at the end of t years?
Answer:
b
Step-by-step explanation:
