Answer:43.289
Step-by-step explana
The pages per book in a library are normally distributed with a population standard deviation of 33 pages and an unknown population mean. A random sample of 16 books is taken and results in a sample mean of 334 pages. Identify the parameters needed to calculate a confidence interval at the 99% confidence level. Then find the confidence interval. 20.005 20.01 z0.10 20.05 20.025 2.576 1.960 2.326 1.282 1.645 You may use a calculator or the common z values above. Round the final confidence interval endpoints to the nearest whole number.
The 99% confident interval that the true population mean for the pages per book in the library falls within the range of 313 to 355 pages.
To calculate a confidence interval at the 99% confidence level for the pages per book in a library, you will need the following parameters:
1. Sample mean (x): 334 pages (given)
2. Population standard deviation (σ): 33 pages (given)
3. Sample size (n): 16 books (given)
4. Z-score (z) corresponding to the 99% confidence level: 2.576 (from the provided z-values)
Now, let's calculate the confidence interval using these parameters:
Step 1: Calculate the standard error (SE) of the sample mean:
SE = σ / √n = 33 / √16 = 33 / 4 = 8.25
Step 2: Multiply the Z-score by the standard error:
Margin of error (ME) = z * SE = 2.576 * 8.25 ≈ 21.25
Step 3: Add and subtract the margin of error from the sample mean to find the confidence interval:
Lower endpoint: x - ME = 334 - 21.25 ≈ 312.75
Upper endpoint: x + ME = 334 + 21.25 ≈ 355.25
Step 4: Round the final confidence interval endpoints to the nearest whole number:
Lower endpoint: 313
Upper endpoint: 355
So, the 99% confidence interval for the pages per book in the library is approximately 313 to 355 pages.
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Alice received a 40% on her science test. Alice correctly answered 16 questions. How many questions were on the test.
Answer:
40 questions were on the test.
Step-by-step explanation:
40%=0.4
0.4x=16
x=16/0.4
x=40
How many inches is 35 yards?
Answer:
1260 inches
Step-by-step explanation:
Calculator
The decimal 0.4444 is an example of what kind of number
A irrational number
B rational number
C decimal number
D whole number
(multiple choice answers)
Given that the quadrilateral is a parallelogram, m∠S = + 19 and m ∠T = 8x - 4, what is m∠Q?
Answer:
32
Step-by-step explanation:
Brainlist plz
Answer:
\(\Large \boxed{161\°}\)
Step-by-step explanation:
Adjacent angles in a parallelogram add up to 180 degrees.
m∠Q and m∠S add up to 180 degrees.
m∠Q + m∠S = 180
m∠Q + 19 = 180
Subtract 19 from both sides.
m∠Q + 19 - 19 = 180 - 19
m∠Q = 161
100 POINTS HELP WILL GIVE BRAINLIEST
Answer:
The correct ratio of strawberries to blueberries for the fruit salad is 8 strawberries : 30 blueberries, or C. To find this ratio, you can divide the number of strawberries by the number of blueberries to get the ratio of strawberries to blueberries. In this case, 8 strawberries / 30 blueberries = 8/30, or 8 strawberries : 30 blueberries.
Step-by-step explanation:
give me brailiest i give answer im indian living in parent basemen tpless they will cut pp
Answer:
C) 8 strawberries : 30 blueberries--------------------------
As per recipe:
the number of strawberries is 8 and the number blueberries is 30.Therefore the ratio of strawberries to blueberries is:
8 : 30Correct choice is C.
if you roll a dice one time what is the probability for it not to land on an odd number
Answer:
3/6
Step-by-step explanation:
Simple-
One di has 6 sides.
Three sides are even numbers
We are looking for the probability of not having and odd number chosen
It would be 3/6 because there are 3 even numbers and 3 odd numbers, and we are using even numbers because we need to know the probability of not landing on an odd number.
Hope this helps!!!!
:)
Graph the image of V(0, -2) after a rotation 180° clockwise around the origin.
Greetings from Brasil...
For rotation, we can use the expression:
V(X; Y) → V'(Xcos θ - Ysen θ; Xsen θ + Ycos θ)Let rotate 180° - specifically for this angle, 180°, either counterclockwise or clockwise
SEN 180 = 0 and COS 180 = - 1
V(X; Y) → V'(- X; - Y)
V(0; - 2) → V'(0; - (- 2))
V'(0; 2)___________________________________
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Help please!!!!!!!!!
Answer:
Step-by-step explanation:
\(y=4^{2} \\4^{2} = 16\\x = 2^{2}\\ 2^{2} = 4\\ 16 + 4 = 20\)
HOPE THIS HELPED!!
Answer:
20 :)
Step-by-step explanation:
hey Monea sup :)
Bobby scores m marks in a test
A. Dan scores two marks less than Bobby. write down an expression for Dan's marks in terms of m
Answer: M-2 or M substracted by 2
Step-by-step explanation:
The upper-left coordinates on a rectangle are (-4,4), and the upper-right coordinates are
(4,4). The rectangle has a perimeter of 20 units.
Draw the rectangle on the coordinate plane below.
Answer:
See the picture below.
Step-by-step explanation:
consider parallelogram vwxy below use the information given in the figure to findx m
In the given parallelogram vwxy: x = 3; m∠Y = 65° and ∠YVX = 61° by (alternate interior angle).
Explain about the parallelogram?A quadrilateral with the opposing sides parallel is called a parallelogram (and thus opposite angles equal).
A parallelogram with all right angles is known as a rectangle, and a quadrilateral having equal sides is known as a rhombus. Rectangles and squares are both particular varieties of parallelograms since a square is just a degenerate instance of a rectangle.In the given parallelogram vwxy:
Parallel sides are equal.
So, 2x = 6
x = 6/2 = 3
Opposite pair of angles are also equal.
So,
∠W = ∠Y = 65°
Now,
∠YVX = 61° (alternate interior angle).
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Lila collected rain water for three days. On the first day she collected 23 liter of rain water. The last two days yielded 14 liter each how much did lila collect in all
Answer:
47 liter 14+14+23
Step-by-step explanation:
14+14+23=47
Answer:
the awnsers 51
Step-by-step explanation:
you do (14x2)=28+23=51
161.5 is 85% of what number?
Answer:
35
Step-by-step explanation:
Answer:
85% of 190 is 161.5
Step-by-step explanation:
That is all.
The ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir. How many boys are in the choir?
Let the number of boys and the number of girls be 5x and 4x
Number of girls = 4x = 60
x = 15
Number of boys = 5x
= 5× 15
= 75 boys
Answer:Let the number of boys and the number of girls be 5x and 4x
Number of girls = 4x = 60
x = 15
Number of boys = 5x
= 5× 15
= 75 boys
Step-by-step explanation:
Simplify the algebraic expression.
–9(–8p + 12) – 6p
Answer:
66+12
Step-by-step explanation:
simplified answer
Step-by-step evaluation:
-9(-8p + 12) - 6p
-9 x -8p = 72p -9 x 12 = -108
(72p + -108) - 6p
72p + -108 - 6p
(72p + −6p) + (−108)
66p + −108
Answer:
66p−108
Find the value of x in
2x+3y= 22
3x + y = 19
\(2x+3y=22\\3x+y=19|\cdot(-3)\\\\2x+3y=22\\\underline{-9x-3y=-57}\\-7x=-35\\x=5\)
Jessica is building a cardboard box that has a length of 16 inches, width of 9 inches, and height of 4 inches. If she decided to triple the height of the box, how much more cardboard does she need?
Answer:
Step-by-step explanation:
I assume you have a prism with a length of 16 inches, a width of 9 inches and a height of 4 inches and you want to know the surface area
1st...convert these to feet
16 in = 1 + 1/3 ft = 4/3 ft
9 in = 3/4 ft
4 in = 1/3 ft
And the surface area =
2 [ 4/3 * 3/4 + 4/3 * 1/3 + 3/4* 1/3 ] =
2 [ 1 + 4/9 + 1/4 ] =
2 [ ( 36 + 16 + 9 ) / 36 ] =
(1/18) ( 61) =
(61 / 18) sq ft ≈ 3.38 sq ft.
A survey of boys and girls in second grade was conducted asking whether or not they liked pizza. The partially completed two-way table shows results of the survey. how many boys were includes in the survey?
Solution
We have the following table given:
Boys Girls Total
Do not like pizza 11
Like pizza 24
Total 35 64
Then the total of boys are given by:
64 -35 = 29
Then the solution is:
29
Answer: A. 29
Step-by-step explanation: I just took the test
Consider the equation log5(x + 5) = x^2.
What are the approximate solutions of the equation? Check all that apply. O x ~- 0.93 Ox = 0 O ~ 0.87 O x ~ 1.06
Answer:
(a) x ≈ -0.93
(d) x ≈ 1.06
Step-by-step explanation:
You want the approximate solutions to log₅(x+5) = x².
GraphWe find solving an equation of this nature graphically to be quick and easy. First, we rewrite the equation as ...
log₅(x+5) - x² = 0
Then we graph the left-side expression and let the graphing calculator show us the zeros.
x ≈ -0.93, 1.06
__
Additional comment
We can evaluate the above expression for the different answer choices and choose the x-values that make the value of it near zero. The second attachment shows that -0.93 and 1.06 give values with magnitude less than 0.01.
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We calculate that the approximate solutions of the equation \(log5(x + 5) = x^2\) are x ≈ -0.93 and x ≈ 1.06.
To find the approximate solutions of the equation, we need to analyze the behavior of the given equation. The equation involves a logarithm and a quadratic term.
First, we can observe that the logarithm has a base of 5 and the argument is x + 5. This means that the value inside the logarithm should be positive for the equation to be defined. Hence, x + 5 > 0, which implies x > -5.
Next, we notice that the right-hand side of the equation is \(x^2\), a quadratic term. Quadratic equations typically have two solutions, so we expect to find two approximate solutions.
To determine these solutions, we can use numerical methods or approximations. By analyzing the equation further, we find that the two approximate solutions are x ≈ -0.93 and x ≈ 1.06.
These values satisfy the given equation log5(x + 5) = \(x^2\), and they fall within the valid range of x > -5. Therefore, the approximate solutions of the equation are x ≈ -0.93 and x ≈ 1.06.
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find the missing number 9:4::63: ?
Answer: 28
Step-by-step explanation:
28 is thhe missing number
Indicate below whether the equation in the box is true or false 1/8 = to 2/4 true or false
Answer:
false
Step-by-step explanation:
1/8 = .125
2/4 = .5
therefore 1/8 does not = 2/4
Ali simplifies the expression 9y+y to 9y2.
Answer:
Ali's solution is incorrect. Ali had to add both the terms and should get 10y answer, and not multiply both terms and get answer 9y^2 which is wrong. Step-by-step explanation: Ali simplifies the expression 9y+y to 9y2.
Step-by-step explanation:
Answer:
Ali is incorrect because 9y2 would be 9*y*2 = 18y.
We all know that 9y+y is not going to be 18y
So 9y+y since 9+1 = 10. it simplifies to 10y
10y ≠ 18y
Ali is incorrecttrue or false? All irrational numbers have some repeating pattern which can
be used to compare them to rational numbers.
Answer:
Given statement is false.
Step-by-step explanation:
Given that,
All irrational numbers have some repeating pattern which can be used to compare them to rational numbers.
We know that,
Rational number :
A rational number is defined such a number which can be written as a ratio.
It means we can write a rational number as a fraction.
For example : 2, 3/2 and 4/2... etc.
In the fraction, both number are4 whole number.
So, we can say that, a number which can be define as a fraction it is called rational number.
Irrational number :
An irrational number is defined such a number which can not be written as a ratio.
For example : √5, √10 and √15...etc
So, we can say that, a number which can not be define as a fraction it is called irrational number.
We need to find all irrational numbers have some repeating pattern which can be used to compare them to rational numbers
According to rational number and irrational number
This statement is false.
Suppose, √2 is irrational but not repeating.
So, we can't write √2 as rational number.
Hence, Given statement is false.
1. Members of a research team are considering three studies related to sleep and learning. The first study involves comparing the scores on a post-study test of learning from two groups of randomly chosen adults, with one group getting at least 7 hours of sleep per night for a week and the other group getting at most 6 hours
of sleep per night for a week. A second study involves asking a random sample of students at a large university to report the average number of hours of sleep they get each night and their college grade point average. A third study involves asking a random sample of high school students in a large school district whether they feel they get enough sleep to stay alert throughout the school day.
The question is incomplete. The complete question is :
Members of a research team are considering three studies related to sleep and learning. The first study involves comparing the scores on a post-study test of learning from two groups of randomly chosen adults, with one group getting at least 7 hours of sleep per night for a week and the other group getting at most 6 hours of sleep per night for a week. A second study involves asking a random sample of students at a large university to report the average number of hours of sleep they get each night and their college grade point average. A third study involves asking a random sample of high school students in a large school district whether they feel they get enough sleep to stay alert throughout the school day.
Which study appears to look for an association between two variables without actively manipulating either one. What are those variables ?
Solution :
The second study in the context is involved in asking for a random sample of the students at an university to provide a report the average hours of sleep that everybody get each night and also the grade point of their college appears for association between these two variables without actively changing either of one.
These variables are the grade point average of the students and the numbers of hours of sleep.
Please help need by tomorrow it would be very very very appreciated
The linear inequality for the graph in this problem is given as follows:
y ≥ 2x/3 + 1.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The graph crosses the y-axis at y = 1, hence the intercept b is given as follows:
b = 1.
When x increases by 3, y increases by 2, hence the slope m is given as follows:
m = 2/3.
Then the linear function is given as follows:
y = 2x/3 + 1.
Numbers above the solid line are graphed, hence the inequality is given as follows:
y ≥ 2x/3 + 1.
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The last 2 questions & did I do it right pls help me:(
Answer:
Step-by-step explanation:
a. 50x+200
b. 200
c. 50
d. y intercept - the cost to buy the phone
e. slope represents number of months that you have the phone plan
Which equation represents a population of 300 animals that decreases at an annual rate of 23% ?
Answer:
n × 0.77
Step-by-step explanation:
Decreasing a number by 23% is the same as multiplying that number by 0.77, so n number of animals decreased by 23% is:
n × 0.77
FAST ANSWER PLEEEAAAAASE Verify that (sinx-cosx)^1=1-2sinxcosx is an identity.
Answer:
yes i jist looked it up lljljlj
That equation is very similar to the Pythagorean Identity. I might be, but I don’t know.
GRADE 9 MATH TEXTBOOK QUESTION PLEASE HELP ME someone help me answer all of question 4??? ASAPP