Answer: 60.93 < μ < 69.07
Step-by-step explanation: The true mean of a set of data is between an interval of values with a percentage of precision, e.g., a 99% confidence interval means we are 99% confident the true mean is between the lower and upper limits.
To find the interval, use
x±[tex]z\frac{s}{\sqrt{n}}[/tex]
z is z-score related to the % of confidence level
In this case, a 99% confidence interval is 2.576
x is sample mean
Calculating:
[tex]x=\frac{63+69+62+66}{4}[/tex]
x = 65
65±[tex]2.576\frac{3.16}{\sqrt{4}}[/tex]
65±4.07
Confidence Interval: 60.93 < μ < 69.07
Meaning that we are 99% sure the population means is between 60.93 and 69.07.
5x-6y=-4
-6x+6y=-6
solve using elimination
HELP.
Answer:
x=10 y=9
Step-by-step explanation:
Expression A: 3(x + 2)Expression B: 3x + 6Which statement does not show that these expressions are equivalent?A.Both expressions involve addition.B.Substituting any value of x makes the expressions equivalent.C.3(x + 2) can be rewritten as 3x + 6 using the distributive property.D.The expressions name the same number regardless of the value of x.
Answer:
C.3(x + 2) can be rewritten as 3x + 6
Step-by-step explanation:
Given 3(x+2)
Evaluating the expression by opening the parenthesis;
3(x+2) = 3(x) + 3(2) Distributive law
3(x+2) =3x + 6
Hence 3(x+2) is equivalent to 3x+6
Hence the correct answer is C.3(x + 2) can be rewritten as 3x + 6
A motorboat moves across a lake. It begins at 50km from shore after 9 minutes it is 14 km from shore. What’s it’s distance from shore in a function
Answer:
List all of the solutions.
50 k m =
9 m i n u t e s =
14 k m =
Step-by-step explanation:
Answer:
y = -4x + 50
Step-by-step explanation:
To write the function we'll use y = mx + b, where y is the distance the boat is away from shore, m is how many km/minute the boat moves at, x is how many minutes it's been, and b is how many km away from shore the boat was at the start. We already know the value of b is 50, so we can put that into the equation:
y = mx + 50
To find how many km the boat moves per minute, let's use the given amount of minutes and km (9, 14) and put them into the equation:
14 = m(9) + 50
Now let's solve for m:
14 = 9m + 50
Subtract 50 from both sides to isolate the 9m:
14 - 50 = 9m + 50 - 50
- 36 = 9m
divide both sides by 9 to isolate the m:
-36/9 = 9m/9
-4 = m
The boat moves at -4 km/minute, which is the same thing as saying that after 1 minute passes, the boat gets 4km closer to the shore. Now we can input this value into the equation and we have our answer:
y = -4x + 50
7 large tanks and 40 fish in each tanks how many fish on display
Answer:
280
Step-by-step explanation:
All you have to do is 7x4 and look for how many 0's there are in the equation and add them on.
Can someone please help, ty!!
(Will mark brainliest)
Answer:
Arcadia
Step-by-step explanation:
the line in the box is the median and Arcadia is bigger than Millersburg
5^2x=4 Plz Answer I can't figure it out!
Answer:
In decimal form 0.16
Step-by-step explanation:
Simplify 32 divided by 7 eigths
Answer:
256/7 = 36 4/7 =36.571
Step-by-step explanation:
|2| + |-13| =
BRAINLIST AND EXTRA POINTS
Answer:
15
Step-by-step explanation:
|2| + |-13| =
2+13
15
Answer:
I think I might be 15Step-by-step explanation:
I looked it up on google
write an equation of the line that passes through (-1,3) and is parallel to the line y=2x+2
Answer:
y = 2x + 5
Step-by-step explanation:
y - 3 = 2( x + 1 )
y = 2x + 5
Find x if f(x) = 2x + 7 and f(x) = -1.
a.5 b.-3 c.-4
Answer:
Answer c. -4
Step-by-step explanation:
Equations
Given:
f(x) = 2x + 7
We need to find the value of x such that:
f(x) = -1
Equating:
2x + 7 = -1
Subtracting 7:
2x = -1 - 7
Operating:
2x = -8
Dividing by 2:
x = -8 / 2 = -4
x = -4
Answer c. -4
0=x^2+4x+1. Khan academy
8/9+ (-5/6) divided by 1/6
Answer:
fraction answer: 3/4
decimal answer: 0.75
a submarine starts 800m below the surface of the ocean. It rises at a rate of 40m / min for 15 minutes. How much more does the submarine need to rise to reach 50m below the surface?
The classic 60° triangle has a hypotenuse of length 2, an opposite side of length √3 and an adjacent side of length 1....find the value of Cos(60°)
Answer:
The trigonometric values for cos are C = A/H, which means that to find cos(60), you need to divide the adjacent side by the hypotenuse, which in this case gives you 1/2, so that is the value of cos(60).
I hope this helps!
Step-by-step explanation:
Example 3.7.4: The sum of two positive numbers is 16. What is the smallest possible value of the sum of their squares
Answer:
The smallest possible value of the sum of their squares is 128.
Step-by-step explanation:
Let the first number = x
let the the second number = y
x + y = 16
y = 16 -x
minimum value, f = x² + y²
f(x) = x² + (16-x)²
f(x) = x² + 256 - 32x + x²
f(x) = 2x² - 32x + 256
f(x)' = 4x - 32
4x - 32 = 0
4x = 32
x = 32 / 4
x = 8
The absolute minimum value of x = 8
y = 16 - x
y = 8
The smallest possible value of the sum of their squares is given by x² + y²;
= (8)² + (8)²
= 128
Therefore, the smallest possible value of the sum of their squares is 128.
Write down step by step the process that you use
to solve multiplying a fraction by an integer.
Answer:
you place the 1 under the integer and follow the steps keep change it flip it . SO basically you keep the integer and the 1 and you change the sign to division and you place the numerator where the denominator is and the denominator goes where the numerator is.
Step-by-step explanation:
On a coordinate plane, point B is at (negative 5, 2). B is located at (−5, 2). If B is reflected across the y-axis, the coordinates will be . If B is reflected across the x-axis, the coordinates will be .
Answer:
the anwser is (5,2) and (-5,-2)
Step-by-step explanation:
Write a integer for each situation. Explain the meaning of zero in each situation.
1. 3 miles below sea level
2. Earning $45
Point Q' is the image of Q(-7,-6) under the translation (x, y) + (x+12, y + 8).
What are the coordinates of Q'?
Answer:its b
Step-by-step explanation:i took the test
Pls help ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! pls
Add. Simplify the answer and write it as a mixed number. 7/18 + 2/9 + 5/6
Answer:
1 1/18
Step-by-step explanation:
Answer:
Decimal:1.4simple form:13/9 mixted:1 and 4/9
Step-by-step explanation:
Help please ASAP will mark brainliest!!
Answer:
y=4x-7
Step-by-step explanation:
y=4x+6 (1,-3)
y=mx+b
m= 4 (1,-3)
y-(-3)=4(x-1)
y+3=4x-4
-3 -3
y=4x-7
FIRST TO HELP IS BRAINLIEST
Answer:
(0,2)
Step-by-step explanation:
the descriptive method:
{4, 8, 12, 16, 20)
Answer:
The set of the first five positive numbers multiples of 4.
Step-by-step explanation:
help me please reeeee
Answer:4/5 and 2 3/5
Step-by-step explanation:
Which inequality is true
What is the value of a for the following circle in general form?
X^2+y^2+ax+by+c=0
Answer:
ANSWER: 8 A_P_E_X
Step-by-step explanation:
Plug the radius and the center point into the equation, and convert it to general form to get your answer.
The value of a is 4.
What is the standard equation of a circle?The standard equation of a circle is given by
(x -h)² + (y-k)² = r²
The equation given is
x² + y² +ax +by +c = 0
a = -h * 1
(h,k) represents the coordinate for the center of the circle
h = -4 , k =2
a = -(-4) *1 = 4
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What is the slope of the line represented by the equation 3x+4y=12?
Answer:
-3/4
Step-by-step explanation:
3x+4y=12
-3x -3x
4y=-3x+12
÷4 ÷4
y=-3/4x+12
Answer:
-3/4 or -0.75
Example:
if the bathtube holds 46.2 gallons How many mints will it take to fill the whole tub
Answer:
takes 3 minutes
Step-by-step explanation:
A store offers different brands of a product. It decides to eliminate the brand
that is most likely to be returned. The table shows the number of items of
each brand that were returned over the past year and the total sold.
Returns
Total sold
Brand A
33
685
Brand B
15
492
Brand C
29
361
Brand D
31
766
Which brand should the store eliminate?
O A. Brand B
O B. Brand D
O C. Brand C
O D. Brand A
Answer: They should eliminate Brand C
Step-by-step explanation:
You need to divide the total returns by the total sold to which Brand has the greatest percentage returned.
The brand that the store should eliminate out of the 4 given brands using the data in the table is; Brand C
How to Solve Percentage Problems?To find the brand that the store should eliminate we need to find the percentage of sold items that were returned and pick the highest percentage as the brand the store should eliminate.
Brand A percentage = [tex]\frac{33}{685}[/tex] × 100 = 4.81%
Brand B percentage = [tex]\frac{15}{492}[/tex] × 100= 3.04%
Brand C percentage = [tex]\frac{29}{361}[/tex] × 100 = 8.03 %
Brand D percentage = [tex]\frac{31}{766}[/tex] × 100 = 4.04%
Brand C has the highest percentage and as such it is the brand that should be eliminated.
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