The phrasing "nine times out of ten" means 9/10 = 0.90 = 90% is the confidence level. We're confident 90% of the time that the confidence interval captures the population parameter we're after (in this case mu = population mean)
The portion "have an average score within 5% of 75%" means that 75% = 0.75 is the center of the confidence interval, and it goes as low as 0.75 - 0.05 = 0.70 and as high as 0.75 + 0.05 = 0.80
This confidence interval is from 70% to 80%, meaning that nine times out of ten, we're confident that the average score is between 70% and 80%
We write the confidence interval as (0.70, 0.80). It's common to use the notation (L, U) to indicate the lower (L) and upper (U) boundaries. You might see the notation in the form L < mu < U. If so, then it would be 0.70 < mu < 0.80; either way they mean the same thing.
The margin of error is 0.05 as its the 5% radius of the interval. It tells us how far the most distant score is from the center (75%)
=========================================
In summary, we have these answers
confidence level = 90%margin of error = 5% = 0.05confidence interval = (0.70, 0.80)interpretation = We're 90% confident that the average exam score is between 0.70 and 0.80What is the volume of a square pyramid whose length of one side of its base is 9cm and whose height is 15cm. Show your work
Answer:
The answer is 405cm³Step-by-step explanation:
Volume of a pyramid is given by
[tex]V = \frac{1}{3} \times area \: of \: base \: \: \times height[/tex]
height = 15cm
From the question the pyramid is a square pyramid which means it's base is a square
Area of a square = l²
where l is the length of one side
l = 9cm
Area of square = 9² = 81cm²
So the volume of the pyramid is
[tex]V = \frac{1}{3} \times 81 \times 15[/tex]
[tex]V = 27 \times 15[/tex]
We have the final answer as
V = 405 cm³
Therefore the volume of the pyramid is
405cm³Hope this helps you
What statement is not true? A) a square is a rhombus C) a rhombus is a rectangle D) a square is a rectangle
B) a rhombus is a parallelogram
Answer:
A square is a retangle
Step-by-step explanation:
Because a squre is a rectangle
If X = 12 units, Y = 4 units, and h = 10 units, then what is the area of the trapezoid shown above?
Answer:
52 units^2
Step-by-step explanation:
It's unclear what the leg lengths and the width are. I must assume that the lengths are 12 units and 14 units and that the width of the trapezoid is 4 units. You were given an illustration for this problem and should have shared it or described the trapezoid in words. Please do this if the answer given below does not agree with any of your answer choices.
If the lengths are 12 units and 14 units and that the width of the trapezoid is 4 units, then the area is
12 units + 14 units
A = ---------------------------- * 4 units = 52 units^2
2
write a thirdthird-degree polynomial expression that has only two terms with a leading term that has a coefficient of five and a constant of negative two
Answer:
5x^3-2
[tex]ax^{3} +bx^{2} +cx+d\\5x^{3}-given\\ d=-2-given\\5x^{3} -2[/tex]
Explanation:
The two terms are [tex]5x^3[/tex] and [tex]2[/tex]. Terms are separated by either a plus or minus.
We can write it as [tex]5x^3+(-2)[/tex] which is an equivalent form. Here the two terms are [tex]5x^3[/tex] and [tex]-2[/tex]. This is because adding a negative is the same as subtracting.
The coefficient is the number to the left of the variable.
The degree is the largest exponent, which helps form the leading term.
The third degree polynomial written above is considered a cubic binomial. "Cubic" refers to the third degree, while "binomial" means there are 2 terms.
We can write something like [tex]5x^3[/tex] as 5x^3 when it comes to computer settings.
Help please!!! Thank you
Answer:
5/7
Step-by-step explanation:
There are a couple ways to solve this. One would be by finding the least common denominator for each one with 2/3, subtracting, and seeing what is left over. Another way is converting to decimals.
2/3=0.666666
————————-
7/8=0.875
8/9=0.88888
4/5=0.8
5/7=0.7143
They are all greater than 2/3 (0.6666666), but 5/7 is the closest, so would have the least waste.
PLEASE HELP ME !!!!!! WILL GIVE POINTS OUT 60 POINTS
Answer:
18/25
Step-by-step explanation:
Due to the fact that the fractions have the same denominator, we can multiply to numerators, and also the denominators. So we get 3x6/5x5.
Which becomes 18/25
Hope this helps!
Answer:
9/5 which simplifies to 1 4/5
Step-by-step explanation:
What is the circumference of the following circle?
Answer:
The answer is 157 inStep-by-step explanation:
Circumference of a circle = 2πr
where
r is the radius
From the above question
radius = 25 in.
Substitute this value into the above formula
That's
Circumference = 2(25)π
= 50π
= 157.079
We have the final answer as
Circumference = 157 inHope this helps you
(x-2) is a factor of x^2-3x^2+kx+14. The value of k is?
Answer:
k = 5
Step-by-step explanation:
I will assume that your polynomial is
x^2 - 3x^2 + kx + 14
If x - a is a factor of this polynomial, then a is a root.
Use synthetic division to divide (x - 2) into x^2 - 3x^2 + kx + 14:
2 / 1 -3 k 14
2 -2 2k - 4
-------------------------------------
1 -1 (k - 2) 2k - 10
If 2 is a root (if x - 2 is a factor), then the remainder must be zero.
Setting 2k - 10 = to zero, we get k = 5.
The value of k is 5 and the polynomial is x^2 - 3x^2 + 5x + 14
Se o preço de 8 potes de nutella é 288 reais, qual e o preço se 5 potes de Nutella
I need to find the distance B in the special counter sink shown
Answer:
Step-by-step explanation:
87°32' = 86°92'
(86°92')/2 = 43°46'
B = 13/(16cos(43°46')) = 1.125
Answer:
Step-by-step explanation:
How do you write 30,8608
Answer:
it should be 308,608. the comma is after every three in this scenario.
Step-by-step explanation:
Anna earned $9 an hour babysitting. She wants
to buy a 16 GB iPod that is $120. Anna has
saved $45 so far. How many more hours of
babysitting does she need to do to earn the rest
to purchase the iPod
Answer:
8.33 hours
Step-by-step explanation:
120-45 = 75
75 ÷ 9 = 8.33
Combine like terms to create an equivalent expression. 1/7 - 3 (3/7n - 2/7)
━━━━━━━☆☆━━━━━━━
▹ Answer
1 - 9/7n
▹ Step-by-Step Explanation
1/7 - 3(3/7n - 2/7)
Remove the parentheses (Distribute -3 among the parentheses):
1/7 - 9/7n + 6/7
Calculate:
1 - 9/7n
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Answer:
1-9/7n
Step-by-step explanation:
[tex]\frac{1}{7}-3(\frac{3}{7}n-\frac{2}{7} ) \\=\frac{1}{7}-\frac{9}{7}n +\frac{6}{7} \\=\frac{1-9n+6}{7} \\=\frac{7-9n}{7}\\=1-\frac{9}{7}n[/tex]
Evaluate 1 + (-2/3) - (-m) where m = 9.2.
Answer:
9.533
Step-by-step explanation:
1+(-2/3)-(-9.2)
1-2/3--9.2
1-2/3+9.2=9.533
Which choice shows the product of 22 and 49 ?
Answer:
1078
Step-by-step explanation:
The product of 22 and 49 is 1078.
Answer:
1078 is the product
Step-by-step explanation:
construct a rectangle PQRS, In which AB= 8cm and diagonal AC= 10cm
A rectangle can be constructed using a straightedge, and a setsquare or compass
Please find attached the drawing of rectangle ABCD
The steps to construct the rectangle ABCD are as follows:
Question:
The missing part of the question is the name of the rectangle = ABCD
The given parameters are;
The length of the side AB = 8 cm
The length of the diagonal of the rectangle ABCD = AC = 10 cm
The steps to construct a rectangle are;
Draw the segment [tex]\overline{AB}[/tex] = 8 cm on a planeDraw perpendicular lines at points A and B with length h given by Pythagoras's theorem as followsh² = [tex]\overline{AC}[/tex]² - [tex]\overline{AB}[/tex]²
∴ h² = 10² - 8² = 36
h = √36 = 6
h = 6 cm = The length of the sides [tex]\mathbf{\overline{AD}}[/tex] and [tex]\mathbf{\overline{CB}}[/tex]
Draw arcs with radius 6 cm from points A and B to intersect the perpendicular lines drawn from points A and B on the same side of the line [tex]\overline{AB}[/tex] at points D and CJoint point C to D with a straight line which is segment [tex]\overline{CD}[/tex] and which completes the rectangle ABCDLearn more about the construction of basic shapes here;
https://brainly.com/question/17440931
NEED HELP ASAP!!!!!!!!!!
Answer:
Hey there!
A is correct. The +2 means shifted up two units, 1/2 means compressed by a factor of 1/2, and the -3 means to the left of three units.
Let me know if this helps :)
9 and -9 are examples of
A. absolute values
B.oposite integers
C. products
D. Quotients
Answer:
opposites
Step-by-step explanation:
9+-9 = 0
When they add to zero they are opposites
Answer:
Step-by-step explanation:
9 and -9 are examples of opposite integers
70% of what number is 56
Answer:
the number is 80
Step-by-step explanation:
let x be an unknown number so from the above question we deduce that
(70/100)*x=56
70x/100=56
70x=56*100
70x=5600
70x/70=5600/70
x=80
=
Graphing an integer function and finding its range for a given...
The function h is defined as follows for the domain given.
h(x) = 2 -2x, domain = {-3, -2, 1, 5}
Write the range of h using set notation. Then graph h.
Answer:
Step-by-step explanation:
● h(x) = 2-2x
The domain is {-3,-2,1,5}
● h(-3) = 2-2×(-3) = 2+6 = 8
● h(-2) = 2 -2×(-2) = 2+4 = 6
● h(1) = 2-2×1 = 2-2 = 0
● h(5) = 2-2×5 = 2-10 = -8
The range is {-8,0,6,8}
Please answer quick!!!
Find the interquartile range of the data set represented by this box plot.
30
56
20
10
Answer:
A. 30
Step-by-step explanation:
The interquartile range for a box and whiskers plot, is the value from the right side of the box minus the value of the left side of the box.
In this case at the far right side of the box it is at 130, at the far left side of the box it is at 100.
130-100=30
Answer:
[tex]\huge\boxed{IQR = 30}[/tex]
Step-by-step explanation:
Q1 = 130 (Left hand edge of the box)
Q3 = 100 (Right Hand edge of the box)
Interquartile Range = Q3-Q1
IQR = 130-100
IQR = 30
Simplify 4 to the 3rd power times 4 to the 5 the power
Answer:
4^8
Step-by-step explanation:
4^3 * 4^5
We know a^b * a^c = a^(b+c)
4^(3+5)
4^(8)
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]4^8[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying the answer...}}\\\\4^3 * 4 ^ 5\\-----------------\\\text{Recall the exponent rule:}\\\\a^x * a^y = a^{x+y}\\\\\rightarrow 4^3 + 4^5\\\\\rightarrow 4^{3+5}\\\\\rightarrow \boxed{4^8}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
identify the decimals labeled with the letters A, B, and C on the scale below. Letter A represents the decimal Letter B represents the decimal Letter C represents the decimal
[tex]10[/tex] divisions between $20$ and $20.1$ so each division is $\frac{20.1-20.0}{10}=0.01$
A is 2nd division from $20.0$, so, A is $20.0+2\times 0.01=20.02$
similarly, C is one division behind $20.0$ so it is 19.99
and B is $20.14$
Sequence of transformation that take the graph y=x^2 to y=-2(x-5)^2+4
Answer:
(x-5) so translated 5 units to the right
Multiplied with 2, p vertically compressed
+4 means translated 4 units up
When f(x) = -3, what is x?
-29
-10
-3
-1
Answer:
The correct choice is option D. -1
Step-by-step explanation:
Find f(x) = - 3 on the table. When y = -3, what is the x value? Look on the right side, you can see it's -1, correct? So, f(x) = - 3 when x = - 1.
A cardboard box without a lid is to be made with a volume of 4 ft 3 . Find the dimensions of the box that requires the least amount of cardboard.
Answer:
2ft by 2ft by 1 ftStep-by-step explanation:
Total surface of the cardboard box is expressed as S = 2LW + 2WH + 2LH where L is the length of the box, W is the width and H is the height of the box. Since the cardboard box is without a lid, then the total surface area will be expressed as;
S = lw+2wh+2lh ... 1
Given the volume V = lwh = 4ft³ ... 2
From equation 2;
h = 4/lw
Substituting into r[equation 1;
S = lw + 2w(4/lw)+ 2l(4/lw)
S = lw+8/l+8/w
Differentiating the resulting equation with respect to w and l will give;
dS/dw = l + (-8w⁻²)
dS/dw = l - 8/w²
Similarly,
dS/dl = w + (-8l⁻²)
dS/dw = w - 8/l²
At turning point, ds/dw = 0 and ds/dl = 0
l - 8/w² = 0 and w - 8/l² = 0
l = 8/w² and w =8/l²
l = 8/(8/l² )²
l = 8/(64/I⁴)
l = 8*l⁴/64
l = l⁴/8
8l = l⁴
l³ = 8
l = ∛8
l = 2
Hence the length of the box is 2 feet
Substituting l = 2 into the function l = 8/w² to get the eidth w
2 = 8/w²
1 = 4/w²
w² = 4
w = 2 ft
width of the cardboard is 2 ft
Since Volume = lwh
4 = 2(2)h
4 = 4h
h = 1 ft
Height of the cardboard is 1 ft
The dimensions of the box that requires the least amount of cardboard is 2ft by 2ft by 1 ft
The length of a picture is 14.25 inches shorter than twice the width period if the perimeter of the picture is 133.5 inches, find its dimensions
Answer: Dimension = 27 inches by 39.75 inches
Concept:
A perimeter is a path that encompasses/surrounds/outlines a shape.
Perimeter (rectangle) = 2 (l + w)
l = length
w = width
Solve:
l = 2w - 14.25
w = w
P = 133.5
Given equation
P = 2 (l + w)
Substitute values into the equation
133.5 = 2 (2w - 14.25 + w)
Combine like terms
133.5 = 2 (3w - 14.25)
Distributive property
133.5 = 6w - 28.5
Add 28.5 on both sides
133.5 + 28.5 = 6w - 28.5 + 28.5
162 = 6w
Divide 6 on both sides
162 / 6 = 6w / 6
w = 27 in
l = 2w - 14.25 = 2 (27) - 14.25 = 39.75 in
Hope this helps!! :)
Please let me know if you have any questions
A farmer has 6 buckets of blueberries and wants to sell them at a market stall. The farmer will charge $1.50 per pint. If each bucket can hold half a bushel of blueberries, how much will the farmer make in selling all of the blueberries?
Answer:
$96
Step-by-step explanation:
6(1/2) = 3 bushels of berries total
3(4) = 12 pecks of berries total
4(8) = 32 quarts of berries total
32(2) = 64 pints of berries total
64 x $1.50 = $96
Answer:
The farmer will make a total of $96 from selling 6 buckets of blueberries.
Step-by-step explanation:
The total price is determined by multiplying the 12 pecks down into pints. Each pint sells for 1.50 and he has 64 pints of blueberries.
64 x $1.50 = $96
Calculating the degrees of freedom, the sample variance, and the estimated standard error for evaluations.
using the t statistic.
With another study, where you also plan on evaluating a mean using the t statistic, you have a sample of n = 21 that has an SS of 500. What is the variance for the sample?
A. 5.00
B. 22. 36
C. 25
D. 250,000
Answer:
The variance is [tex]\sigma ^2 =25[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 21
The sum of squares is [tex]SS = 500[/tex]
Generally the variance is mathematically represented as
[tex]\sigma ^2 = \frac{SS}{n- 1}[/tex]
substituting values
[tex]\sigma ^2 = \frac{ 500}{21- 1}[/tex]
[tex]\sigma ^2 =25[/tex]
Primo car rental agency charges $21 per day plus $0.20 por milo. Ultimo car rental agency charges $24 per day plus $1.00 per milo. Find the daily mileage for which the Ultimo charge is four times the Primo charge.
The mileage is
Answer:
300 miles
Step-by-step explanation:
Let us consider the miles they travelled is 'm'
Mileage for Primo= 21 + (m × 0.20) = 21+0.2m
Mileage for Ultimo= 24+ ( m× 1.00) = 24 + m
Question says The mileage is equal when Ultimo's charge is 4× Primo
Thus,
4 × (21+0.2m) = 24+ m
84 + 0.8m = 24 + m
60 = 0.2m
m = 300