This question is incomplete, the complete question is;
In order to determine an interval for the mean of a population with unknown standard deviation, a sample of 58 items is selected. The mean of the sample is determined to be 36. The associated number of degrees of freedom for reading the t value is :
a. 35.
b. 57.
c. 36.
d. 58.
Answer: Option b. 57 is the correct answer.
Step-by-step explanation:
Given that;
sample size n = 58
sample mean x" = 36
degrees of freedom for reading the t value is = ?
we know that;
Degree of freedom df = n - 1
where n is the sample size
so we substitute
Degree of freedom df = 58 - 1
Degree of freedom df = 57
Therefore Option b. 57 is the correct answer.
Which complex number has a distance of StartRoot 17 EndRoot from the origin on the complex plane?
2 + 15i
17 + i
20 – 3i
4 – i
Answer:
4 - i
Step-by-step explanation:
Intuitively, the answer will be 4 - i, as the other numbers are too big to have a square as small as 17i. Also, we know that i will not be in the end result, which means that we should have a negative in the result as well.
To test this, we can simply treat 4 and -i as the sides of a right triangle and find the hypotenuse:
[tex]d = \sqrt{4^2 + (-i)^2} \\d = \sqrt{16 + 1}\\d = \sqrt{17}[/tex]
So indeed the answer is 4 - i
Answer:
d) 4-i
Step-by-step explanation:
on edge
14 - {7 + 4 x 3 - [(-2)²x 2 - 6]} + (2² + 6 - 5 x 3) + 3 - (5 - 2³ : 2) =
Answer:
(2x²-7)
Step-by-step explanation:
14 −1 (19 − 4x²+6) + (2² +6 - 14-1 (25-4x²) + (2² +6 −5.
Gasoline costs 1.05 euro per liter in France. What is the price in dollars per gallon?
The price in dollars per gallon is 4.02 dollars per gallons.
How to find the price of gasoline in dollars per gallon?Gasoline costs 1.05 euro per litre in France.
The first thing to do is to determine the equivalent amount of the same litre in dollar while in France.
Then, equate it the quantity of litres to gallons.
Hence,
1 euro = 1.01 dollars
1.05 euro = ?
cross multiply
price = 1.05 × 1.01
price = 1.0605 dollars
1 litres = 0.264172 gallons
Therefore,
cost = 1.0605 / 0.264172
cost = 4.01552442257 dollars per gallons
cost = 4.02 dollars per gallons
Therefore, the price in dollars per gallon is 4.02 dollars per gallons.
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estimate first..Then fi d the exact quotient 4.9÷7=?
Answer:
0.7
Step-by-step
49 divided by 7 = 7
Since there is a decimal add a 0 in front of the 7. (0.7)
this 2 step equation is a pain -8×+4=-52
Answer:
6
Step-by-step explanation:
4-52=48
48÷8=6
this is correct :)
Answer:
x=7
Step-by-step explanation:
-8x+4=-52
First remove the four by subtracting 4 from -52
-8x= -56
Then, you would want the variable (x) by itself, so you divide by -8 (Dividing a negative by a negative makes a positive)
x=7
To confirm this answer is right, plug in 7 as the variable and make sure you get -52
(-8*7)+4= (-52)
The measures of the angles of a quadrilateral are 3:8:7:2 find the measure of each angle
Answer:
Angle 1= 54°
Angle 2= 144°
Angle 3 = 126°
Angle 4 = 36°
Step-by-step explanation:
We are given measures of the angles of a quadrilateral are 3:8:7:2
Let the common ratio = x
The angles will be:
Angle 1= 3x,
Angle 2= 8x,
Angle 3 =7x
Angle 4 =2x
We know that sum of all angles of quadrilateral = 360°
We can write as: [tex]3x+8x+7x+2x=360[/tex]
Solving to find x,
[tex]3x+8x+7x+2x=360\\20x=360\\x=\frac{360}{20}\\x=18[/tex]
We get value of x = 18
Now, finding angles:
Angle 1= 3x = 3(18) = 54°
Angle 2= 8x = 8(18) = 144°
Angle 3 =7x = 7(18) = 126°
Angle 4 =2x = 2(18) = 36°
PLEASE PLEASE HELP
simplify:
tan²a (2 cos²a + sin²a − 1)
Answer:
we can describe this by using the formulas of Trigonometric functions..........Thank u.....
Find the value of X for which log X, log (X+2) and log (X+16) are three consecutive terms of an arithmetic series.
Answer:
x=-2
Step-by-step explanation:
log x, log (x+2) , log (x+16) are in A.P.
2log (x+2)=log (x+2) +log (x+16)
log (x+2)²=log [(x+2)(x+16)]
(x+2)²=(x+2)(x+16)
x²+4x+4=x²+2x+16x+32
4x-18x=32-4
-14x=28
x=28/(-14)=-2
the cost of a cell phone varies directly with the number of minutes it uses.if it costs $73.25 to talk for 180 minutes , what is the cost to talk for 320 minutes?
Answer:I believe 786.34
Step-by-step explanation:
You divide 180 by 73.25 which is 2.46, then multiply this number by your 320 minutes to get the answer
Answer:
$128
Step-by-step explanation:
73.25/180 = 7325/18000 = 0.4
0.4 * 320 = 128
Hope this helps! :3
plz mark as brainliest!
At the grocery store, 3 pints of ice cream cost $5.70. How much would 20 pints of ice cream cost?
Answer:
114
Step-by-step explanation:
5.70 TIMES 20 = 114.
Levi Jeans Company at the Silverthorne, Colorado Outlet store sells bootcut jeans for $62 and straight leg jeans for $38. If customer’s bought 4 times more bootcut than straight leg jeans and last month’s sales totaled $7,722, how many of each pair of jeans were sold?
Answer:
I think it's 150!!
Step-by-step explanation:
Worldwide, the proportion of babies who are boys is about 0.51 . Let the random variable X represent the number of boys in five children. Find the mean and standard deviation of this random variable.
Answer:
mean = 2.55
Standard deviation = 1.118
Step-by-step explanation:
Probability of babies who are boys
P = 0.51
Then we have q = 1-p
= 1-0.51
= 0.49
We have n = 5
We calculate the mean as:
np
= 0.51x5
= 2.55
Therefore mean = 2.55
The standard deviation
= √variance
= √npq
= √0.51x5x0.49
=√1.2495
= 1.118
Use differences to find a pattern in the sequence.
9, 16, 29, 50, 81, 124, 181
Assuming that the pattern continues, the eighth term should be
The 8th term of the pattern is 254.
Here the sequence is 9, 16, 29, 50, 81, 124, 181
By using differences we have :
9, 16 29 50 81 124 181
|___| |___| |___| |___| |___| |____|
↓ ↓ ↓ ↓ ↓ ↓
+7 +13 +21 +31 +43 +57
|____| |___| |___| |____| |____|
↓ ↓ ↓ ↓ ↓
+6 +8 +10 +12 +14
|____| |____| |___| |_____|
↓ ↓ ↓ ↓
+2 +2 +2 +2
Therefore to find the 8th value of the pattern
We will add 2 in 14
14 + 2 = 16
Now 16 should be added to 57
57 + 16 = 73
Now we will add 73 to the 181 we get
181 + 73 = 254
Therefore the 8th term of the pattern is 254 by using the difference.
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What are equivalent fractions for 1/3?
Answer:
Its 3/6
Step-by-step explanation:
Answer:
one eqwivelent fraction that is = to 1/3 is 2/6 if u need more just comment and i will responed back
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIST PLEASE
Answer: D: 4.5
Step-by-step explanation:
So the Equation I used for this would be
6(2x+3) = 3(6x-3)
In Which the left is the Hexagon (The 6 is for the 6 Sides) and the right of the equation is the triangle (given the 3 for the 3 sides. In order to solve, we need to solve for x. Distribute the equation and your left with
12x+18=18x-9
-12x +9
27=6x
Divide to get X by itself
and your left with
4.5 = x
Hope it helped.
You draw three cards from a deck of 52 cards, replacing the drawn card and re-shuffling the deck between each draw. What is the probability that you will draw a spade at least once? The answer is approximated.
42%
18%
58%
83%
Answer:
42%
Step-by-step explanation:
just makes sence I think
anwar built with an area 256 square feet. he wants to build a railing on three aides of the deck what is rhe total length of the railing he needs ?
Answer:
48ft
Step-by-step explanation:
What is the image of the point (-2,4)(−2,4) after a rotation of 270^{\circ}270
∘
counterclockwise about the origin?
(4, 2) is the point after 270° rotation of point (-2,4)
WHAT IS IMAGE OF A SPECIFIC POINT IN GRAPH OF MATHEMATICS ?Tradition holds that the reflection of point P across the line, denoted by the word P', is the "image" of point P. (pronounced "P prime"). Next to the aforementioned illustration, click "show distances." It is evident that the point P', which is the image of P, is by necessity on the same side of the line as P.
CALCULATIONTo find the image of a specific point after rotation of the point about its origin we will use the formula (y,-x)
so applying this formula we get the co-ordinates (4,2).
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mr smith monthly take home pay is 2880. 22% of his gross salary is deducted for taxes and insurance to the nearest dollar what is his monthly gross salary
Answer:
$3692Step-by-step explanation:
Let the gross salary be x.
Then after deduction it becomes:
x - 22% =x(1 - 0.22) =0.78xSince the amount is known, the gross salary is:
078x = 2880x = 2880/0.78x = 3692 rounded to whole numberAnswer: $3692
19,432÷x=48 Remainder 232 (Plz help its for my hw that's due tmrw)
Answer:
x = 404.83
Step-by-step explanation:
The given expression is :
19,432÷x=48 ...(1)
We need to find the value of x.
[tex]\dfrac{19,432}{x}=48[/tex]
Cross multiplying both sides,
[tex]19,432=48x[/tex]
Dividing both sides by 48
[tex]\dfrac{19,432}{48}=x\\\\x=404.83[/tex]
So, the value of x is 404.83.
Answer:
x = 400
Step-by-step explanation:
To find x, you first need to subtract the remainder from 19,432.
That equals 19,200. Then you need to do 19,200 divided by 48.
x = 400
Hope this helps! :)
what are the possible values of x for the following functions? f(x)=2-x/x(x-1)
The possible values of x for the following functions are values on real number except 0 and 1
Domain of a functionThe domain of a function are the values of the independent variable for which it exists.
Given the function below
f(x)=2-x/x(x-1)
The function does not exist at the. point where the denominator is zero. From the function given, the function does not exist when;
x(x -1) = 0
x = 0 and x = 1
Hence the possible values of x for the following functions are values on real number except 0 and 1
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Help me please :) please
First we convert into slope-intercept form | y = mx + b
[tex]-3y=-3-x[/tex]
Move x to another side and subtract. (Whenever you move to another side, the sign/operator will be opposite. From plus to minus and from multiply to divide.)
Then move -3 to divide (-3-x)
[tex]y=\frac{-3-x}{-3}[/tex]
Separate - [tex]y=\frac{-3}{-3}-\frac{x}{-3}[/tex]
| Negative dividing Negative equal positive |
[tex]y=\frac{3}{3}-(-\frac{x}{3})[/tex] | When the denominator is negative, we can pull out from the denominator and convert into the middle of fraction. |
| Negative multiplying Negative equal positive |
[tex]y=1+\frac{x}{3}[/tex]
This is not fully slope-intercept form yet. We swap the position of 1 and x/3
[tex]y=\frac{x}{3}+1[/tex]
There we go. The slope-intercept form.
Now our job is to find the x-intercept and y-intercept. First, know what m and b represents in the equation y = mx + b first.
From y = mx + b | m represents slope | b represents the y-intercept. |
Our equation is [tex]y=\frac{x}{3}+1[/tex]
Our m or slope is 1/3 and our y-intercept is 1. So we don't need to find the y-intercept because we've already found it.
Now move to finding x-intercept.
Substitute y as we get -
[tex]0=\frac{x}{3}+1[/tex]
Now whenever there is a denominator, multiply the whole equation by the denominator itself. As our denominator in this equation is 3, so we multiply all whole equation by 3.
[tex]0(3)=\frac{x}{3}(3)+1(3)\\0=x+3 \\x=-3[/tex]
Our x-intercept is x = -3 and y-intercept is y = 1.
Check the graph out. Our answers can be only A and B considering the slope is positive. C and D choices have negative slope (m < 0).
However, the value of slope also affects the graph. If the slope has a lot of value, then the graph will head to y-axis.
But if the slope has a little value then the graph will head to x-axis instead.
After all, when converting to the slope-intercept form. We don't need to find the x-intercept right away, just one glance at the graph along with the equation and we are able to answer it.
Thus, the answer is B choice.
I know it is a long, boring explanation. But providing a quality answer is what I'm trying to do. I may not be able to explain that good or whatever. But with an explanation, I hope it will benefit you someday, after all. An explanation can help you in a test. Thanks for reading and I hope this helps you.
Subtract the following polynomials. Write answer in a-b-c-d order. From 4a+7b-12c subtract 8a-9b+12d
[tex](4a+7b-12c)-(8a-9b+12d)\\4a+7b-12c-8a+9b-12d[/tex]
Negative multiply negative = Positive
Negative multiply positive = negative
[tex]-8a+4a+9b+7b-12c-12d\\-4a+16b-12c-12d[/tex]
Thus the answer is -4a + 16b - 12c - 12d.
Solve the formula for the specified variable
The variable k can be expressed as follows:
k = 2D / f
How to find the variable in an expression?A variable is a number represented by a letter in an equation or expression.
The variables in the given equation are D, f and k.
But we were asked to make the variable k the subject of the formula.
Therefore,
D = 1 / 2 f k
cross multiply
f k = 2D
divide both sides by f
Hence,
f k / f = 2D / f
k = 2D / f
Therefore, the variable k can be expressed as follows:
k = 2D / f
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Help lads and thank yooooooooooooouuuuu
Answer:
12 weeks.
Step-by-step explanation:
On the twelfth week they will both have saved $160.
hope this helps.
Q7: Express each of the following:
a) 4.5m2 in cm2
1m2 = 10000cm2
4.5m2 = 25000cm2
Please solve
2b+ 1/2a(b-2/3)-4ab
Show all your steps please!
Answer: Distribute:
=2b+(
1
2
a)(b)+(
1
2
a)(
−2
3
)+−4ab
=2b+
1
2
ab+
−1
3
a+−4ab
Combine Like Terms:
=2b+
1
2
ab+
−1
3
a+−4ab
=(
1
2
ab+−4ab)+(
−1
3
a)+(2b)
=
−7
2
ab+
−1
3
a+2b
Answer:
=
−7
2
ab+
−1
3
a+2b
Step-by-step explanation: done
For which value of a will the equation 3x – 2 = 3x – a have an infinite number of solutions?
A.2
B.3
C.4
D.5
Answer:
A.2
Step-by-step explanation:
for it to have infinite solutions, the equations need to be identical so you have a 3x and a 2 would be put for a to make 3x-2 since the other side is 3x-2
HURRY PLEASE 6TH GRADE MATH HERE. A football field is 100 yards in length. How many inches long is a football field? 300 inches 360 inches 3,000 inches 3,600 inches
answer: 3600
Answer:
3,600
Step-by-step explanation:
1 yard= 36 inches
36 inches*100= 3,600
__________________________________________________________
Brainliest? I am trying to get to a new rank so I can help more people and I would totally appreciate it if you did!
Merry Christmas!
Answer:
3600
Step-by-step explanation:
Helpppppp PLEASEEE GIVING BRAINLIEST
Answer:
-12x + 5 > -19
-12x > -24
x < 2