The 99% confidence interval for the population mean will be x± [tex]\frac{2.58 s}{\sqrt{n} }[/tex].
What is a confidence interval?
A confidence interval is a set of calculations for an unrecognized parameter that is specified as a range with a lower and upper bound.
If we take an n-sample from a normal population and wish to estimate the population mean, the confidence interval for the mean is:
[tex]\bar x[/tex]±[tex]Z_\frac{\alpha }{2} \times \frac{s}{\sqrt{n} }[/tex]
The level of significance is found by;
[tex]\rm \alpha =1- \ condifidence\ level \\\\\ \rm \alpha =1- 0.99 \\\\\ \rm \alpha = 0.001[/tex]
The value of z is
[tex]\rm Z_{\frac{\alpha}{2}} = \rm Z_{\frac{0.01}{2}} = Z_{0.005}=2.58[/tex]
Hence the 99% confidence interval for the population mean will be x± [tex]\frac{2.58 s}{\sqrt{n} }[/tex].
To learn more about the confidence interval refer to the link;
https://brainly.com/question/2396419
Answer:
x Overbar plus-or-minus StartFraction 2.58 times s Over StartRoot n EndRoot EndFraction
Step-by-step explanation:
The answer above is correct.
Solve the inequality for x and identify the graph of its solution.
3x+2] < 6
Choose the answer that gives both the correct solution and the correct graph.
Answer:
3 x + 2 < 6
3 x < - 2
x < - 2 /3
] - ∞ : - 2/3 [
Step-by-step explanation:
Answer:
A.
x > -4 and x < 0
Step-by-step explanation:
3|x + 2| < 6
3x + 6 < 6
-6 -6
3x < 0
÷3 ÷3
x < 0
----------------------
3|x + 2| < -6
3x + 6 < -6
-6 -6
3x < -12
÷3 ÷3
x > -4
I hope this helps!
Select the correct answer from the drop-down menu
23
Central angle BAC of circle A measures 20" radians. Arc BC has a length of 63.487 centimeters. What is the radius of the circle?
The radius of circle A is ✓ centimeters.
Answer:
r = 55.2 cm
Step-by-step explanation:
the arc length is calculated as
arc = circumference × fraction of circle
= 2πr × [tex]\frac{\frac{23}{20}\pi }{2\pi }[/tex] ( r is the radius )
given arc = 63.48π , then
2πr × [tex]\frac{\frac{23}{20}\pi }{2\pi }[/tex] = 63.48π ( cancel 2π on numerator/ denominator )
r × [tex]\frac{23}{20}[/tex] π = 63.48π ( divide both sides by π )
[tex]\frac{23r}{20}[/tex] = 63.48 ( multiply both sides by 20 to clear the fraction )
23r = 1269.6 ( divide both sides by 23 )
r = 55.2 cm
Answer: 55.2
Step-by-step explanation:
got it correct on my test!
what properties are these I will give a thanks and 5.0 stars
4k−3−2k=2k+5−2k Answer
2k−3=5 Answer
2k−3+3=5+3 Answer
2k=8 Answer
2k2=82 Answer
k=4 Answer
Answer:
Negative slope:
Every day, I spend 100 dollars on my credit card.
Positive slope:
Everyday I gain 100 dollars.
Step-by-step explanation:
Negative slope:
Every day, I spend 100 dollars on my credit card.
Positive slope:
Everyday I gain 100 dollars.
Solve the system of equations.
– 3y + 5x = 26
- 2 - 5x = -16
Answer:
[tex]y=-4,\:x=\frac{14}{5}[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}-3y+5x=26\\ -2-5x=-16\end{bmatrix}[/tex]
Isolate x for -2-5x=-16:
[tex]x=\frac{14}{5}[/tex]
[tex]\mathrm{Substitute\:}x=\frac{14}{5}[/tex]
[tex]\begin{bmatrix}-3y+5\cdot \frac{14}{5}=26\end{bmatrix}[/tex]
[tex]Simplify[/tex]
[tex]\begin{bmatrix}-3y+14=26\end{bmatrix}[/tex]
Isolate y for -3y+14=26:
[tex]y=-4[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]y=-4,\:x=\frac{14}{5}[/tex]
Use the angle relationship in the figure below to solve for x. Assume that line A and line B are parallel, line C is a transversal and the given angles are given in
degrees
AC
4x+29
12x+55
B
Answer:
x = 6
Step-by-step explanation:
The 2 angles given are same- side interior angles and are supplementary, thus
4x + 29 + 12x + 55 = 180, that is
16x + 84 = 180 ( subtract 84 from both sides )
16x = 96 ( divide both sides by 16 )
x = 6
Which is a function and not a function
Answer:
Function: A, C, F, H,I
NOT: B,D,E,G
Step-by-step explanation:
To be a function every x is only allowed to pair up with one y. If there's no repeated x's, then its a function. If x repeats, it has to have the same y as the first time it showed up. If a vertical line (up and down) touches a graph in more than one place, its NOT a function. Any y can partner up with however many x's it wants to, doesn't matter, its still a function. But to be a function ONLY ONE y for each x. Life's not fair.
there are 9 apples in each Box. how many apples are in 6 boxes?
Answer:
54
Step-by-step explanation:
9 times 6 equals 54 PogU
Paul can paint 119 doors in 8 hours, while Scott can paint 54 doors in 4 hours. Who can paint the doors faster, Paul or Scott?
A. Paul
B. Scott
Answer:
See below
Step-by-step explanation:
You need to find the unit rate, which is found by dividing the number of doors, in this case, by time.
119/8=14.875
54/4=13.5
Paul can paint doors faster.
-hope it helps
Please help solving this ! Which net represents the figure?
Answer:
upper right
Step-by-step explanation:
The net for a figure is a representation of all of the figure's faces. The polygons in the net are joined on an edge corresponding to a common edge between the faces they represent.
The given figure is a rectangular prism. Its faces are only rectangles. All nets that have triangles in the net can be eliminated from consideration.
The appropriate choice is the one attached.
If the circumference of a circle is increased by 40%,
then the area of the circle is increased by
A. 18%. B. 20%. C. 40%. D. 96%.
Answer:
96%
Step-by-step explanation:
c=100=22/7D
D=7/22×100
get the radius and find the area
R=D/2
A=pi×r^2
repeat that assuming
C=140
get the area
find the %age
A2_A1=Area difference
A(diff)/A1×100=96.01%
[tex]r_{2}[/tex]Answer:
D) 96%
Step-by-step explanation:
let the circumference of circle be C = 2π[tex]r_{1}[/tex] and [tex]r_{1}[/tex] = [tex]d_{1}[/tex]/2
Initial radius (radius before increment) = [tex]r_{1}[/tex]
initial diameter (diameter before increment) = [tex]d_{1}[/tex]
Increasing the circumference of a circle other factors are constant except the radius which can be used to find the diameter hence increasing the circumference of a circle is equivalent to increasing the diameter
area of the circle before increment [tex]A_{1}[/tex] = π[tex]r_{1}[/tex]²
[tex]A_{1}[/tex] = π × ([tex]d_{1}[/tex]/2)²
[tex]A_{1}[/tex] = π[tex]d_{1}[/tex]²/4
Increment of circumference results to increment of only the diameter
diameter after increment by 40%, [tex]d_{2}[/tex] = 1.4[tex]d_{1}[/tex]
1.4 represents increment by 40%
radius after increment [tex]r_{2}[/tex] = [tex]d_{2}[/tex]/2 = 1.4[tex]d_{1}[/tex]/2 = 0.7[tex]d_{1}[/tex]
area after increment, [tex]A_{2}[/tex] = π[tex]r^{2} _{2}[/tex]
[tex]A_{2}[/tex] = π(0.7[tex]d_{1}[/tex])²
[tex]A_{2}[/tex] = π × 0.49[tex]d_{1}[/tex]²
Change in area = [tex]A_{2}[/tex] - [tex]A_{1}[/tex]
[tex]A_{2}[/tex] - [tex]A_{1}[/tex] = π × 0.49[tex]d_{1}[/tex]² - π [tex]d_{1}[/tex]²/4
[tex]A_{2}[/tex] - [tex]A_{1}[/tex] = π [tex]d_{1}[/tex]²(0.49 - ¼)
[tex]A_{2}[/tex] - [tex]A_{1}[/tex] = π [tex]d_{1}[/tex]²(0.49 - 0.25)
[tex]A_{2}[/tex] - [tex]A_{1}[/tex] = 0.24 π[tex]d_{1}[/tex]²
Percentage increment = ([tex]A_{2}[/tex] - [tex]A_{1}[/tex]/ [tex]A_{1}[/tex]) × 100
= ((0.24 π[tex]d_{1}[/tex]²)/(π[tex]d_{1}[/tex]²/4)) × 100
= (0.24 × 4 ) × 100
= 0.96 × 100
= 96 %
Hope it was useful
Keeping car tires inflated is essential to safe driving. For one type of car tire, the tire pressure in pounds per square inch (psi) is assumed to be approximately Normal, with a mean of 35 psi and a standard deviation of 2 psi. What percentage of tires are inflated to a pressure above 36 psi?
Answer:
30.854%
Step-by-step explanation:
First, we find the z-score corresponding to the value given
z-score = (x - mean)/SD
Z-score = (36-35)/2 = 1/2 = 0.5
we find the Probability of (x > 0.5)
we use the standard normal distribution table for this
P( x > 0.5) = 0.30854
This has a percentage 30.854%
Answer:
30.854%
Step-by-step explanation:
Hope this helps!
On a piece of paper, use a protractor to construct a triangle with angle measures of 60° and 80°. I Which statements about this triangle are true? Select all correct answers.
Answer:
Option A
Option C
Option D
Step-by-step explanation:
Triangle attached in image~
A) It is an acute triangle (Yes)
Before we put reasonings why this is true, let's find the missing angle in the triangle.
⇒ 60 + 80 + x = 180°⇒ 140 + x = 180°⇒ x = 180 - 140⇒ x = 40°This triangle is an acute triangle because all angles in the triangle are acute, as 80°, 60°, 40° are acute angles.
B) Two sides have the same length (No)
Two sides can only be the same if two angles are equivalent. Since all angles are different, two sides cannot have the same length.
C) All sides have different lengths (Yes)
Since all angles are unalike, the triangle has different side lengths.
D) The third angle measures 40° (Yes)
⇒ 60 + 80 + x = 180°⇒ 140 + x = 180°⇒ x = 180 - 140⇒ x = 40°Answer:
A
C
D
Step-by-step explanation:
I do K12 as well, they are correct, give the person above me brainliest!
Write the quadratic equation in factored form be sure to write the entire equation: X ^2-5-24=0
Need help asap
Answer:(x+3)(x-8)=0
Step-by-step explanation:
The students in Ms. Baca's art class were mixing yellow and blue paint. She told them that two mixtures will be the same shade if the blue and yellow paint are in the same ratio. How many different shades of paint did the students make?
Answer:
Two shades will be prepared.
Step-by-step explanation:
Ms Baca told the students that when two colors yellow and blue are mixed in the same ratio same shade is prepares.
From the table attached,
If A is a mixture of 1 part yellow and 2 parts of blue color,
Ratio of the colors = 1 : 2
If B is a mixture of 2 parts yellow and 3 parts of blue color,
Ratio of the colors = 2 : 3
If C is the mixture of 3 parts yellow and 6 parts of blue color,
Ratio of the colors = 3 : 6 = 1 : 2
If D is a mixture of 4 parts yellow and 6 parts of blue color,
Ratio of the colors = 4 : 6 = 2 : 3
If E is a mixture of 6 parts yellow and 9 parts of blue color,
Ratio of the colors = 6 : 9 = 2 : 3
Therefore, mixtures A, C will create the same shade while mixtures B, D, E will be of same shade but different from A and C.
Two shades of the paints will be made by the students.
find the value of the given question:
Answer:
8
Step-by-step explanatiion
2 [tex]\sqrt{25-\sqrt{81} }[/tex]
= 2 [tex]\sqrt{25-9}[/tex]
= 2 [tex]\sqrt{16}[/tex]
= 2 × 4
= 8
help pls and tysmm!!
Find the value of b: -3(b - 2) = -18. This time, whoever answers first, AND correctly gets marked the Brainliest.
Answer:
-3(b - 2) = -18
-3b + 6 = -18
-3b = -18-6
-3b = -24
-3b/-3 = -24/-3
b = 8
Answer:
Hello there!^^
Step-by-step explanation:
✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰
Divide both sides by 3If there is two negtives it makes a positiveSimplify Add 2 to both sidesAnd simplify again~~~~~~~~~~~~~~~~~~~~~~
1. = -18/-3
2. 18/3
3. b - 2 = 6
4. b = 6+2
Answer : b = 8
By your fellow brainly user: xCherryxUwU
#Thanks!
✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰
A sports analyst determines that the number of points scored in a basketball game is related to the number of shots taken during the game. The least-squares regression line is y = 5. 0 + 1. 2x, where y is the predicted number of points scored and x is the number of shots taken. In one game, a team takes 50 shots and the residual is –10. How many points were scored by this team in this game?
45
55
65
75
Answer:
65
Step-by-step explanation:
y= 5.0 + 1.2x
when x = 50
y = 5.0 + 1.2 x 50
= 5.0 + 60
= 65
The value of y is 65 when x = 50, or the number of points the team was scored was 65.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
A sports analyst determines that the number of points scored in a basketball game is related to the number of shots taken during the game.
y= 5.0 + 1.2x
Plug x = 50
y = 5.0 + 1.2 x 50
= 5.0 + 60
= 65
Thus, the value of y is 65 when x = 50, or the number of points the team was scored was 65.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ5
Find the value of X in the figure?
Answer: I think it'll be x=50
Step-by-step explanation:
since 3x-4 And 146 degrees are vertical angles, they should be congruent. Which means 3x = 150, which results in x=550
He used the steps below to simplify the expression
-1/4(8x+12)-(-2x+5)
=-2x-3+2x-5
=-8
Which statement is true about the steps that Pablo used to simplify the expression?
() He combined like terms inside the parentheses, distributed -1/4 over (8x+12), and then combined the remaining like terms.
() he combined like terms inside the parentheses, distributed -1/4 over (-2x+5), and then combined the remaining like terms.
() He distributed -1/4 over (8x+12), distributed 1 over (-2x+5), and then combined like terms.
() He distributed -1/4 over (8x+12), distributed -1 over (-2x+5), and then combined like terms
use the figure to find the measure of the angle 5?
pls yall, i need help... is urgent!!
ty<3
Answer:
152⁰
Angle 5 and 152⁰ are congruent. Therefore angle 5 is 152⁰
find the measure of angle b. (alternate exterior = 134 degrees)
Answer:
b=59
Step-by-step explanation:
The Theorem for Alternate Exterior angles is: If two parallel lines are cut by a transversal then the alternate exterior angles are congruent.
By this theorem we now know that b=59 degrees.
name two tangents
name two major arcs
Answer:
the chord arc and the minor arc, and the foreign antigens and the auto antigens
If 10 percent of x is 20 what is 23 percent of x
Answer: 46%
Step-by-step explanation:
x / 10 = 20
x / 10 x 10 = 20 x 10
x = 200
23% = 23/100 = 46/200
46%
y=4-2x^3 a linear equation
Answer:
False
Step-by-step explanation:
the highest degree of the equation is 3, meaning that the equation is NOT linear.
pls answer maek u brainlist
a) 197 x 202 = 197 x (200+2) = 197 x 200 + 197 x 2 = 197 x 100 x 2 + 197 x 2 = 19700 x 2 + 197 x 2 = (19700 +197) x 2 = 19897 x 2 = 39794
b) (1.05)sqrd - (0.95)sqrd = 1.1025 - 0.9025 (no suitable ways to do this other than bare calculating) = 0.2
Hello!
a)
= 39 794
b)
1.05 *1.05 - 0.95*0.95
= 1.1025 - 0.9025
= 0.2
For a data set to have two modes,what is the least number of data that the set can have?
Answer: The mode of a data set is the number that occurs most often, but what if your data set has more than one mode? Is that possible? This tutorial explains what to do when a data set has multiple modes!
Step-by-step explanation:
there ya go
what are the zero of x(2-24x)=0
Answer:
Find the roots of
x (2 − 24x) = 0 by solving for x.
x = 0 , 1/12
Daniel drinks a 96 ounce energy drink containing 89 calories per 24 ounces. How many calories did he drink?
Answer:
356
Step-by-step explanation:
No receives a $5 discount each month on his cell phone bill because he signed up for autoplay from his bank account over the last eight months nor has pay a total of $284 for his cell phone bill what would Noah be charged for his cell phone bill each month if he stopped using autoplay?
Answer:
$36Step-by-step explanation:
Normally Noah is expected to pay an amount without a discount.
let this amount be x
so the amount paid monthly after the discount is removed is (x-5)
Noah paid this amount for 8 months
(x-5)*8=248
solving for x we will get the amount that Noah is expected to be charged when he stopped using the autoplay
(x-5)*8=248
8x-40=248
8x=248+40
8x=288
divide both sides by 8 we have
x=288/8
x=$36