Answer:
[tex]\frac{4+n}{2} < -6[/tex], n < -16
Step-by-step explanation:
To write this into an inequality you need to recognize keywords. The first keyword is "sum" this means the two numbers must be added; so the first part of the inequality is 4+n. Then, it says the sum is "divided by" 2; this means both numbers must be put over two like [tex]\frac{4+n}{2}[/tex]. Finally, this is "less than" negative. Therefore, this must be an inequality with a sign opening towards -6. So the final answer is [tex]\frac{4+n}{2} < -6[/tex].
To solve the inequality isolate the variable. Multiply both sides by 2, so the new inequality is [tex]4+n<-12[/tex]. Next, subtract 4 from both sides. The answer is n < -16.
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.
So far this quarter, Samantha's quiz grades in her math class are as
follows: 68, 86, 94, 95, 82, 100, 95, and 84. If she gets an 89 on her next
quiz, which statement is true?
is 1/10, 1/4, and 1/8 more or less than 1/2
Answer:
They are less than 1/2
Step-by-step explanation:
Question38 ASAP pleaseee
Answer:
b
Step-by-step explanation:
The respiratory system basically help us breathe.
Find y if the line through (5, 2) and (7, y) has a slope of 4.
Y=___
Answer:
5
Step-by-step explanation:
Factorise the expressions.
Answer:
7 ([tex]y^{2}[/tex] + 6[tex]Z^{2}[/tex])
3a (x - 2y) - 4b(2y - x)
pq(p - 1) - [tex]r^{2}[/tex]( p - 1)
Step-by-step explanation:
(ii) 7y^2+35Z^2
=7(y^2+5Z^2)
(v) 3ax-6ay-8by+4bx
=x(3a+4b)-2y(3a+4b)
=(3a+4b)(x-2y)
viii)p^2q-pr^2-pq+r^2
=pq(p-1)-r^2(p-1)
=(p-1)(pq-r^2)
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
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
For a math assignment, Jane has to roll a set of six standard dice and record the results of each
trial. She wonders how many different outcomes are possible after rolling all six dice.
What is the total number of possible outcomes for each trial?
46,656
0 36
0216
0 7,776
SAVE AND CONTINUE
Answer:36
Step-by-step explanation: 6 sided dice = 6 possible outcomes
6×6=36
The required number of outcomes is 36 after rolling all six dice. Option B is correct.
Jane has to roll a set of six standard dice and record the results of each
trial. She wonders how many different outcomes are possible after rolling all six dice. the total number of possible outcomes for each trial to be determined.
Probability can be defined as the ratio of favorable outcomes to the total number of events for a system of the certain events.
For 1 dice, sample space = { 1 2 3 4 5 6}
total possible outcome = 6
Now 6 dice roll at once and the total outcome = 6 * 6
= 36
Meanwhile, Jane has a total of 36 outcomes.
Thus, the required number of outcomes is 36 after rolling all six dice. Option B is correct.
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3x-14 when x equals 5 please help
Answer:
1
Step-by-step explanation:
15-14=1
Hope this helped!!
Step-by-step explanation:
3x-14 when x equals 5
3 (5) -14
15-14
x=1
Can someone help me? I’ll reward points + brainalist
Answer:
31.4
Step-by-step explanation:
taking π = 3.14
circumference = 3.14 × 10
Sarah has 30 pencils. She wants to give her 5 friends the same amount of pencils. How many pencils does Sarah give each friend? (Write an equation and then solve.)
Answer:
6 pencils
Step-by-step explanation:
30/5=6
The area of a rectangle is 125 ft. The ratio of the width to the length is 1:5. Find the length and width.
Answer:
Length of the rectangle = 25 ft
Width of the rectangle = 5 ft
Step-by-step explanation:
Ratio of the width to the length is 1:5
So, let
Width = x
and length = 5x
Area of the rectangle = 125
[tex]x \times 5x = 125 \\ \\ 5 {x}^{2} = 125 \\ \\ {x}^{2} = \frac{125}{5} \\ \\ {x}^{2} = 25 \\ \\ x = \sqrt{25} \\ \\ x = 5 \: ft \\ \\ 5x = 5 \times 5 = 25 \: ft[/tex]
Length of the rectangle = 25 ft
Width of the rectangle = 5 ft
The length and the width of the rectangle are 25 ft and 5 ft respectively.
How to find the area of a rectangle?The area of a rectangle can be found by using the following formula:
Area = length * width
Let the constant be x, therefore the length is 5x and the width is x.
Area = length * width
125 = 5x*x
⇒125 = 5x²
⇒x² = 25
⇒x = √25
⇒x = 5
We can substitute the value of x to find the length and the width:
Length = 5x = 5*5 = 25 ft
Width = x = 5 ft
Thus, we have found the length and width of the rectangle to be 25 ft and 5 ft.
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60 rounded to the nearest percent
Answer:
It already is rounded to the nearest percent, 60.
Step-by-step explanation:
How many seconds are in 5 minutes? (1 minute= 60 seconds)
Answer: 300 seconds
Step-by-step explanation:
Answer:
300, I don't know if you need the work for it
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
If you need more information to answer let me know. I’ll grant 30 points for answering all questions shown
Answer:
More info is needed to do this
I'll help you once that info is given
Answer:
needs more directions and info
Step-by-step explanation:
Sofia is 4 years younger than Mark. David is 7 years older than Mark. How old will Sofia be when David is 30 years old? please answer
Answer:
Sofia will be 19 years old
Step-by-step explanation:
First:
What know that David is 30 right now.
David=30
We also know that David is 7 years older than Mark, meaning that David-7=Mark
30-7=23 -Mark
And last we know that Mark is 4 years older than Sofia So we would do 23-4 to get Sofia age,
23-4=19 -Sofia
So in conclusion...
SOFIA: 19
MARK: 23
DAVID: 30
What is the average?
2 3 6 5
Answer:
4
Step-by-step explanation:
2+3+6+5 is 16 and since there are 4 numbers 16/4 is 4
Answer:
4
Step-by-step explanation:
To find average you must add up all of the numbers and then divide by the amount of numbers there are
2+3+6+5= 16
there are 4 numbers, so you do 16/4
16/4 = 4
Hope this helps!!
-Ketifa
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
use the quadratic formula to find the solution to the question
3x^2-10x+5=0
Answer:
[tex]x_{1} =[/tex] [tex]\frac{5 + \sqrt{10} }{3}[/tex] and [tex]x_{2} =[/tex] [tex]\frac{5 - \sqrt{10} }{3}[/tex]
Step-by-step explanation:
3x^2-10x+5=0
[tex]x_{1}[/tex] = [tex]\frac{10 + \sqrt{10^{2}-4*3*5 } }{2*3}[/tex] [tex]x_{2} =[/tex] [tex]\frac{10 - \sqrt{10^{2}-4*3*5 } }{2*3}[/tex]
[tex]x_{1} =[/tex] [tex]\frac{10 + \sqrt{100-60} }{6}[/tex] [tex]x_{2} =[/tex] [tex]\frac{10 - \sqrt{100-60} }{6}[/tex]
[tex]x_{1} =[/tex] [tex]\frac{10 + \sqrt{40} }{6}[/tex] [tex]x_{2} =[/tex] [tex]\frac{10 - \sqrt{40} }{6}[/tex]
[tex]x_{1} =[/tex] [tex]\frac{10 + 2\sqrt{10} }{6}[/tex] / 2 [tex]x_{2} =[/tex] [tex]\frac{10 - 2\sqrt{10} }{6}[/tex] / 2
[tex]x_{1} =[/tex] [tex]\frac{5 + \sqrt{10} }{3}[/tex] [tex]x_{2} =[/tex] [tex]\frac{5 - \sqrt{10} }{3}[/tex]
–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
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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:
Please
Help me
With this question
Someoneeee!!!
Answer:
Circumference: 69.11 m
Area: 380.13 m
Cos Milky said it. Trust Milky. Milky Smart.
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%.
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
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
What is the exponential form of the expanded form below?
4.4.4.4.4.4
If possible, evaluate the expression without a calculator. sin^-1 (-sqrt3/2)
Answer:
- 60° (or - π/3) or 240° and 300°
Step-by-step explanation:
sin⁻¹ ((-√3) /2) : in third quadrant and 4th quadrant will produce negative sine value
sin⁻¹ ((-√3) /2) = - 60° (or - π/3) or 240° and 300°
Please help!! Needed ASAP!!
Answer and Explanation:
If, on the other hand, the graph "flexes" or "flattens out" to some degree when it goes to cross the axis, then the zero is of a higher multiplicity; that is, it'll be of multiplicity three, five, or higher.
When a graph doesn't start at 0, it means that the graphs before it is not shown.
For number 4, I'd suggest Graph 3.
For number 3, I'd suggest graph 1.
For number 5, Write something along the lines of "Graph 2 does not show the car stopping slowly, it stops suddenly. Then it starts going really fast and stops suddenly again."
I hoped this helped.