Answer:
The critical value that corresponds to a confidence interval of 81.2% is 1.32.
Step-by-step explanation:
According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
In this case the sample selected is of size, n = 63.
As the sample size n = 63 > 30, the sampling distribution of sample mean will be approximately normal.
So, a z-interval will be used to estimate the population mean.
The confidence level is, 81.2%.
The value of α is:
[tex]\alpha=1-\text{Confidence Level}\\\\\alpha=1-0.812\\\\\alpha=0.188[/tex]
The critical value is:
[tex]z_{\alpha/2}=z_{0.188/2}=z_{0.094}=- 1.32\\\\z_{1-\alpha/2}=z_{1-0.188/2}=z_{0.906}= 1.32[/tex]
*Use a z-table.
Thus, the critical value that corresponds to a confidence interval of 81.2% is 1.32.
WIL GIVE BRAINLIEST IF ANSWER FAST! Evaluate the expression 7x2y, when x = 4 and y = 2. 112 224 542 718
Answer:
224
Step-by-step explanation:
Substitute x = 4 and y = 2 into the expression and evaluate
7x²y = 7 × 4² × 2 = 7 × 16 × 2 = 7 × 32 = 224.
Hope this helped you!
Which value is equivalent to 7 multiplied by 3 multiplied by 2 whole over 7 multiplied by 5, the whole raised to the power of 2 multiplied by 7 to the power of 0 over 5 to the power of negative 3, whole to the power of 3 multiplied by 5 to the power of negative 9? 6 over 25 36 over 25 12 over 5 252 over 5
Answer:
i think it might be A
Step-by-step explanation:
Answer:
Its B trust and can you give me the brainlist
Step-by-step explanation:
On a coordinate plane, a quadrilateral has points W prime (negative 4, 1), X prime (negative 2, 2), Y prime (0, negative 3), and Z prime (negative 4, negative 4). The image of a figure is shown. What are the coordinates of X in the pre-image of the figure if the rule that created the image was T–5.2, 1.4(x, y)? X =
Answer:
(3.2, 0.6)
Step-by-step explanation:
[tex]T_{-5.2, 1.4} [/tex] means a translation of (x, y) → (x - 5.2, y + 1.4)
Suppose X has coordinates (a, b), after the translation is applied, X' has coordinates (a - 5.2, b + 1.4). X' is located at (-2, 2), therefore:
a - 5.2 = -2
a = -2 + 5.2
a = 3.2
b + 1.4 = 2
b = 2 - 1.4
b = 0.6
Answer:
(3.2, 0.6)
Step-by-step explanation:
edg 2021
Tasha used the pattern in the table to find the value of 4 Superscript negative 4. Powers of 4 Value 4 squared 16 4 Superscript 1 4 4 Superscript 0 1 4 Superscript negative 1 One-fourth 4 Superscript negative 2 StartFraction 1 Over 16 EndFraction She used these steps. Step 1 Find a pattern in the table. The pattern is to divide the previous value by 4 when the exponent decreases by 1. Step 2 Find the value of 4 Superscript negative 3. 4 Superscript negative 3 = StartFraction 1 Over 16 EndFraction divided by 4 = StartFraction 1 Over 16 EndFraction times one-fourth = StartFraction 1 Over 64 EndFraction Step 3 Find the value of 4 Superscript negative 4. 4 Superscript negative 4 = StartFraction 1 Over 64 EndFraction divided by 4 = StartFraction 1 Over 64 EndFraction times one-fourth = StartFraction 1 Over 256 EndFraction Step 4 Rewrite the value for 4 Superscript negative 4. StartFraction 1 Over 256 EndFraction = negative StartFraction 1 Over 4 Superscript negative 4 EndFraction In which step did Tasha make the first error? Step 1 Step 2 Step 3 Step 4
Answer:
Step 4
Step-by-step explanation:
The table is given below
[tex]\left|\begin{array}{c|c}$Powers of 4 &$Value\\---&---\\4^2&16\\4^1&4\\4^0&1\\4^{-1}&\dfrac14\\4^{-2}&\dfrac{1}{16}\end{array}\right|[/tex]
Tasha wants to find the value of [tex]4^{-4}[/tex].
Her steps are:
Step 1: Find a pattern in the table.
The pattern is to divide the previous value by 4 when the exponent decreases by 1.
Step 2: Find the value of [tex]4^{-3}[/tex].
[tex]4^{-3}=\dfrac{1}{16} \div 4= \dfrac{1}{16} \times \dfrac{1}{4}= \dfrac{1}{64}[/tex]
Step 3: Find the value of [tex]4^{-4}[/tex].
[tex]4^{-4}= \dfrac{1}{64} \div 4 = \dfrac{1}{64} \times \dfrac{1}{4}= \dfrac{1}{256}[/tex]
Step 4: Rewrite the value for [tex]4^{-4}[/tex].
[tex]\dfrac{1}{256} = -\dfrac{1}{4^{-4}}[/tex]
Tasha made her first error in Step 4. The correct step is:
[tex]\dfrac{1}{256} = \dfrac{1}{4^{4}}[/tex]
Answer:
Step-by-step explanation:
First error step 4
Using the following parent function, please explain how each variable transforms the parent
function. Make sure to discuss all transformations using complete sentences.
f(x)= a(b(g(x)+c))+d
Answer:
a is a dilation in the y axis by a factor of a, b is dilation in the x axis by a factor of 1/b, + c is a translation c units to the left and d is a translation d units up.
Step-by-step explanation:
Which of the lines in the picture are lines of symmetry of the given figure? Please explain!
Answer:
n,r,t
Step-by-step explanation:
The line of symmetry can be defined as the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves. As you can see above the lines n,r,t are the only lines that give identical halves of the figure
If a rabbit can move 1 5/19 miles every hour, then how many hours would it take a rabbit to go 72 miles?
Answer:
57 hours
Step-by-step explanation:
72 ÷ (1 + (5 ÷ 19))-57
Find the area of the shaded polygons:
Answer:
6.5 square units
Step-by-step explanation:
There are MANY ways to do this problem, most of them involving breaking it into 3 or four shapes. But this one is easier if you do most of it by taking out the squares and half squares.
Squares - 3
Half squares - 4 (totals 2 squares)
Triangle - 1 - 1/2bh = 1/2x1x3 = 1.5
TOTAL = 3+2+1.5=6.5
Answer:
6 sq. un
Step-by-step explanation:
Which of the following is an equivalent form of the compound inequality -44 > -2x - 82-8?
0-2x - 8 >-44 and -2x - 82-8
O-2x > -44 and -8-8
0-2x - 8<-44 and -2x -85-8
0-2x -8<-44 and -2x - 82-8
I NEED HELP ASAP
Answer:
(d) -2x -8 < -44 and -2x -8 ≥ -8
Step-by-step explanation:
A compound inequality is a mathematical sentence that combines two simple inequalities. A solution will satisfy both inequalities. That is, it represents an "and" (intersection) condition for the solution sets.
Equivalent pairAn inequality of the form ...
a > b ≥ c
can be written as a pair of inequalities by considering what is on either side of each of the relation symbols:
left symbol: a > bright symbol: b ≥ cApplicationGiven: -44 > -2x -8 ≥ -8
We can decompose the given inequality into the system ...
-44 > -2x -8 . . . . . . . . left symbol-2x -8 ≥ -8 . . . . . . . . . right symbolWhen we compare these to the offered answer choices, we see that we need to rewrite the first inequality so the constant is on the right:
-2x -8 < -44
Then the equivalent form of the given inequality is ...
-2x -8 < -44 and -2x -8 ≥ -8
__
Additional comment
The transitive property of inequality means that ...
a > b ≥ c
implies that a > c.
You will notice that our given inequality, written in this way, becomes ...
-44 > -8 . . . . . . not true
This means the inequality has no solution. (The solution set is the empty set.)
3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?
a) 8
b) 9
c) 10
d) 11
e) 12
In my view option D but it can be wrong
Given the function f(x) = | -2x + 4 |. Complete the table.
-the table is in the picture provided help me complete it please (algebra 1)
Answer:
See below.
Step-by-step explanation:
To complete the table, start by copying the given function.
f(x) = |-2x + 4|
Now let's start with the first line of the table: x = 6.
You are finding the value of function f when x = 6.
Replace x with 6 and evaluate the expression.
f(6) = |-2(6) + 4|
f(6) = |-12 + 4|
f(6) = |-8|
f(6) = 8
Second line of table:
x = -1
f(x) = |-2x + 4|
f(-1) = |-2(-1) + 4|
f(-1) = |2 + 4|
f(-1) = |6|
f(-1) = 6
For the third and fourth lines, you are given a y value, or the value of function f, and you are looking for x. Now you use the given value to set the function equal to, and you solve for x.
Line 3: f(x) = 4
f(x) = |-2x + 4|
|-2x + 4| = 4
-2x + 4 = 4 or -2x + 4 = -4
-2x = 0 or -2x = -8
x = 0 or x = 4
Line 4: f(x) = 14
f(x) = |-2x + 4|
|-2x + 4| = 14
-2x + 4 = 14 or -2x + 4 = -14
-2x = 10 or -2x = -18
x = -5 or x = 9
The table looks like this:
x f(x)
6 8
-1 6
0,4 4
-5, 9 14
[tex] \end{center} [/tex]
For the given function f(x) = | -2x + 4 |, the data is shown in the table below.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that the function is, f(x) = | -2x + 4
Let's begin with the table's first line: x = 6, When x equals 6, you are determining the value of function f. Evaluate the equation after substituting 6 for x.
f(6) = |-2(6) + 4|
f(6) = |-12 + 4|
f(6) = |-8|
f(6) = 8
For the Second line of the table,
x = -1
f(x) = |-2x + 4|
f(-1) = |-2(-1) + 4|
f(-1) = |2 + 4|
f(-1) = |6|
f(-1) = 6
The third line of the table,
f(x) = 4
f(x) = |-2x + 4|
|-2x + 4| = 4
-2x + 4 = 4 or -2x + 4 = -4
-2x = 0 or -2x = -8
x = 0 or x = 4
Line 4: f(x) = 14
f(x) = |-2x + 4|
|-2x + 4| = 14
-2x + 4 = 14 or -2x + 4 = -14
-2x = 10 or -2x = -18
x = -5 or x = 9
Thus, for the given function f(x) = | -2x + 4 |, the data is shown in the table below.
Learn more about the function here,
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Please help ASAP+ brainliest
Answer:
c
Step-by-step explanation:
Box 2:
length width • height = (4x-1). xox?
volume = 4x - x4
Degree of length:
- Degree of width:
Degree of height:
Degree of volume:
Answer:
1
1
3
5
Step-by-step explanation:
Answer:
1 1 3 5
Step-by-step explanation:
Which of the following is a numerical expression that involves addition? x + 8 7 – x 2 + 5 6x
Answer:
x+8
Step-by-step explanation:
This is because in this answer, there are two terms with an addition sign in between them.
Please Help Me What are the roots of the equation? x2+2x−24=0 Enter your answers in the boxes.
Answer:
x = 4 , − 6
Step-by-step explanation:
Answer:
x=4,-6
Step-by-step explanation:
Add 24 to both sides.
x2+2x=24
Plug in 4
4^2+2(4)=24
Solve
16+8=24
24=24
Add 24 to both sides.
x^2+2x=24
Plug in -6
-6^2+2(-6)=24
Solve
36-12=24
24=24
Which function is the result of vertically stretching ƒ(x) = x2 by a factor of 2 and translating it 4 units upward?
Question 20 options:
A)
y = –4x2 + 2
B)
y = 4x2 + 2
C)
y = 2x2 + 4
D)
y = 2x2 – 4
Answer:
The correct answer is the letter C.
Step-by-step explanation:
In order to stretch a function we need to multiply it by the factor we want to stretch, if we want to shrink the function we will have to divide it by the factor. On the other hand in order to translate it we need to sum the factor we want the function to shift. In this case we want to stretch the function by 2, therefore the new function must be 2*f(x), but we also want it to shift by 4 units so it has to be 2*f(x) + 4. Applying the given expression:
[tex]g(x) = 2*f(x) + 4\\g(x) = 2*x^2 + 4[/tex]
The correct answer is the letter C.
Answer:
C
Step-by-step explanation:
y= 2x^2 + 4
Please help :) is the relationship linear, if so model the data with and equation.
Answer:
pretty sure it's A
Step-by-step explanation:
The problems don't add up so I'd say it's linear (you probably shouldn't take my advice I'm as bad at math as you are-)
Answer:
C. y + 4 = -1/2 (x - 1)
Step-by-step explanation:
The x values go up by 6 units each step, 1, 7, 13, 19.
Start with 1 and add 6 to get 7, then add 6 to get 13, then add 6 to get 19.
For each corresponding step in x, y becomes 3 less.
Start with -4, then subtract 3 to get -7, subtract 3 to get -10, subtract 3 to get -13.
For every change of 6 in x, you get a change of -3 in y. This means a linear relationship.
To find the equation, we can use any two of the given points and the point-slope equation of a line.
y - y1 = m(x - x1)
m = slope = (y2 - y1)/(x2 - x1)
where (x1, y1) and (x2, y2) are two points on the line, and m = slope.
Let's use the points (x1, y1) = (1, -4) and (x2, y2) = (7, -7)
y - y1 = (y2 - y1)/(x2 - x1) * (x - x1)
y - (-4) = (-7 - (-4))/(7 - 1) * (x - 1)
y + 4 = (-7 + 4)/(6) * (x - 1)
y + 4 = (-3/6)(x - 1)
y + 4 = -1/2 (x - 1)
If two similar cones have volumes of 320 cm³ and 1,080 cm³, find the scale factor.
A. 1/3
B. 2/3
C. 3/4
D. 7/8
Answer:
B. 2/3
Step-by-step explanation:
What is 131x682 can anyone tell me the step of doing it I don’t know how to
Answer:
91232
Step-by-step explanation:
Someone please help me it’s 20 points please help!!!
Answer:
[tex]g(1)=1[/tex]
Step-by-step explanation:
Use just the definition for the appropriate section of the Domain that includes x=1,
that is the third definition:
[tex]g(x)=x^3-x^2+1\\g(1)=(1)^3-(1)^2+1\\g(1)=1[/tex]
Paul developed a roll of film containing 36 pictures. If he made 2 prints each of half of the pictures and 1 print of each of the rest, how many prints did he make in all?
Answer:
54
Step-by-step explanation:
Total pictures in the roll = 36
half of the roll = 1/2 of the total pictures in the roll = 1/2 * 36 = 18
Given Paul made 2 prints of each of the half pictures
no. of prints made of half of the pictures = 18*2 = 36
No. of prints left after the half of the roll is printed for two prints= 36-18 = 18
No. of prints made of rest of the pictures 1
Therefore , no of prints made of rest half of pictures = 18*1 = 18
Total prints made = 36 + 18 = 54.
Thus, Paul made 54 prints in all.
Ms. White measured the number of the ounces of juice left behind by 3 students after breakfast. She plotted the data on the line plot shown below
Answer: The answer is 7 3/4 :)) <3 have a good day.
The amount of juice left by the three students is (31/4) ounces.
What is dot plot?A dot plot, also called a dot chart, is a type of simple histogram-like chart used in statistics for relatively small data sets where values fall into a number of discrete bins.
Given is that Ms. White measured the number of the ounces of juice left behind by 3 students after breakfast.
The total juice left by 3 students is equivalent to -
{x] = 2 x {2[tex]\frac{1}{4}[/tex]} + 3[tex]\frac{1}{4}[/tex]
{x} = 2 x 9/4 + 13/4
{x} = 18/4 + 13/4
{x} = 31/4
Therefore, the amount of juice left by the three students is (31/4) ounces.
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The number of hot peppers in a salad is based on the number of servings, as shown in the table below. Salad Servings Hot peppers 2 4 4 8 8 ? 12 24 How many hot peppers are in an 8-serving salad?
the answer is 16
because 4,8,12,16,20,24
its closest to 24
Answer:
16
Step-by-step explanation:
am I correct? if not what's the right answer?
Answer:
2x+y -3 =0
Step-by-step explanation:
0 = Ax + By + C is the general form of a line
2x+4y +2 = 3y +5
Subtract 3y from each side
2x+4y-3y +2 =3y+5-2y
2x+y +2 = 5
Subtract 5 from each side
2x+y +2-5 = 5-5
2x+y -3 =0
When I square my number, I get the same answer as when I multiply my number by 10 and then add 144. My number is positive. What is it?
Answer:
your number is 18
Step-by-step explanation:
x^2 = (x × 10 ) + 144
x^2 = 10x + 144
x^2 - 10x - 144 = 0
using quadratic method
your answer should be
(x- 18) ( x+8 )
what is 17/32 rounded to the nearest half)need help now) ?
Answer:
1/2.
Step-by-step explanation:
16/32 = 1/2 so the answer is 1/2.
Answer:
you cant bring that fraction any lower so 17/32 is 17/32
or if you need it in a decimal 0.53
Step-by-step explanation:
Select the expression that is equivalent to 3(2x + 5) − 4x. A. 2x + 15 B. x + 8 C. x + 15 D. 2x + 5
Answer:
A. 2x + 15
Step-by-step explanation:
3(2x + 5) - 4x =
= 6x + 15 - 4x
= 2x + 15
Answer: A. 2x + 15
Answer:
2x +15
Step-by-step explanation:
3(2x + 5) − 4x
Distribute
6x + 15 -4x
Combine like terms
2x +15
PLLZZZZZZZ HELP I WILLL GIVE BRAINLIEST TO THE FIRST ONE TO ANSWER
Answer:
positive
Step-by-step explanation:
What is the quotient?
(-7)2 / (-7) -1
A) -343
B) -7
C) 7
D) 343
Answer:
The answer is option A.
Step-by-step explanation:
(-7)^2 / (-7)^ -1
Use the rules of indices since the bases are the same and they are dividing we subtract the exponents
That's
(-7)^2--1
= - 7³
= - 343
Hope this helps you
Answer:
A)-343
Step-by-step explanation:
[tex] { (- 7)}^{2} \times { (- 7)}^{1} \\ = 49 \times - 7 \\ = - 343[/tex]
A company makes concrete bricks shaped like rectangular prisms. Each brick is 10 inches long, 6 inches wide, and 4 inches tall. If they used 13,200in3 of concrete, how many bricks did they make?
Answer:
The company used 55 concrete bricks.Step-by-step explanation:
We should first find the volume of one of the rectangular bricks.
10×6×4=240in³.
Now, let's divide 13,200in³ by 240in³.
13,200÷240=55
Hence, the company used 55 concrete bricks.Hope this helps! (It's probably too complicated, I'm very sorry ;-;)