For the standard normal curve, find the z-score that corresponds to the 90th percentile.
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Using a z-table(also attached) or a technology, we can solve that z=1.28.
Related Questions
HELP!!!!!!What is the equation of the graph below?
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Multiply: (2x2 − 5x)(4x2 − 12x + 10)
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The answer is 60x^2 - 138x + 72
Hope this helps!
Answer:
[tex]8x^4-44x^3+80x^2-50x[/tex]
Step-by-step explanation:
The given expression is
[tex](2x^2-5x)(4x^2-12x+10)[/tex]
Using distributive property we get
[tex]2x^2(4x^2-12x+10)-5x(4x^2-12x+10)[/tex]
[tex]2x^2(4x^2)+2x^2(-12x)+2x^2(10)-5x(4x^2)-5x(-12x)-5x(10)[/tex]
On simplification we get
[tex]8x^4-24x^3+20x^2-20x^3+60x^2-50x[/tex]
On combine like terms.
[tex]8x^4+(-24x^3-20x^3)+(20x^2+60x^2)-50x[/tex]
[tex]8x^4-44x^3+80x^2-50x[/tex]
Therefore the product of two polynomials is [tex]8x^4-44x^3+80x^2-50x[/tex].
Tom has been given 35 chores to complete today this morning he finished seven of them how many chores does he now have left to do
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A license plate has 3 letters and 3 digits in that order. a witness to a hit-and-run accident saw the first 2 letters and the last digit. if the letters and digits can be repeated, how many license plates must be checked by the police to find the culprit?
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Hope this helped!
The police must check 2600 possible license plates, calculated by multiplying 26 possibilities for the third letter not seen by the witness with 100 possibilities for the two digits also not seen.
To determine how many license plates the police must check to find the culprit, we consider the information that the witness saw the first two letters and the last digit. Since letters can be repeated, there are 26 possibilities for each of the two letters the witness saw. For the last digit, which the witness also saw, there are 10 possibilities (0 through 9). The third letter and the other two digits, which the witness did not see, each have the following number of possibilities: 26 for the third letter, and 10 for each of the two remaining digits.
Calculating the number of possible combinations:
First two letters (seen by the witness): 26 * 26 = 676 possibilitiesLast digit (seen by the witness): 10 possibilitiesThird letter (not seen by the witness): 26 possibilitiesThe two remaining digits (not seen by the witness): 10 * 10 = 100 possibilitiesTherefore, the total number of license plates the police must check is the product of the possibilities for the parts the witness did not see:
26 (third letter) * 100 (two remaining digits) = 2600 possible license plates.
A train travels at a constant speed. What is the train's speed between checkpoints, expressed as a unit rate? Use the information given in the picture to help you.
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where
[tex]S[/tex] is the speed of the train
[tex]d_{i}[/tex] is the initial distance
[tex]d_{f}[/tex] is the final distance
[tex]t_{i}[/tex] is the initial time
[tex]t_{f}[/tex] is the final time
Since checkpoint A is the initial checkpoint, we can infer that [tex]d_{i}=105[/tex] and [tex]t_{i}=2[/tex]. Similarly, since checkpoint B is the final checkpoint, we can infer that [tex]d_{f}=285[/tex] and [tex]t_{f}=5[/tex]. Lets replace the values in our kinematic euation:
[tex]S= \frac{d_{f}-d_{i}}{t_{f}-t_{i}} [/tex]
[tex]S= \frac{285-105}{5-2} [/tex]
[tex]S= \frac{180}{3} [/tex]
[tex]S=60[/tex] mph
We can conclude that the train's speed between checkpoints is 60 mph.
Factor the trinomial below.
9x2 + 6x + 1
A. (3x + 1)(3x – 1)
B. (9x + 1)(x – 1)
C. (9x + 1)(x + 1)
D. (3x + 1)(3x + 1)
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Answer: D. (3x + 1)(3x+1)
Step-by-step explanation:
9x² + 6x + 1
find two factor of 9 such that its product gives 9 and its sum gives 6 (3 and 3, 3×3 = 9 , also 3+ 3=6)
we are going to replace 6x by 3x + 3x
9x² + 6x + 1
9x² + 3x +3x + 1
3x(3x + 1) + 1(3x+ 1)
(3x + 1)(3x+1)
The correct factorization of the trinomial 9x² + 6x + 1 is (3x + 1)(3x + 1) or (3x + 1)². option D.
How do we identify the correct option when the trinomial is factorized?The trinomial 9x² + 6x + 1 is a perfect square trinomial, which can be factored as the square of a binomial.
Let's find the correct answer from your options:
(A) (3x + 1)(3x - 1): The difference of squares isn't the correct form for our trinomial.
(B) (9x + 1)(x - 1): Expanding this will not give us the original trinomial.
(C) (9x + 1)(x + 1): Expanding this will not give us the original trinomial.
(D) (3x + 1)(3x + 1): When expanded, this gives us 9x^2 + 3x + 3x + 1, which simplifies to 9x² + 6x + 1.
Therefore option D (3x + 1)(3x + 1) is correct
Find more exercises on trinomial ;
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Tina can paint a room 1.5 times faster than Joey can. If they work together, they can paint a room in 6 hours. How long would it take the slower person working alone to paint the room?
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1/n + 1/1.5n = 1/6
We'll make the denominator 3n:
3/3n + 2/3n = 1/6
5/3n = 1/6
Cross multiply:
3n = 30
n = 10
It will take the slower person 10 hours to complete the room.
Calculate the total cost of the order: Veggiburger with cola and soup, sales tax 4%, tip 15.
Veggiburger: $3.25
Cola: $1.50
Soup: $2.25
A $8.33
B $7.28
C $7.00
D $5.50
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The cost of the order, including the sales tax of 4%, comes out to be $7.28. However, the tip is unclear in the question. If it's 15%, the cost rises to $8.37, but none of the provided options match this result.
Explanation:The first step is to calculate the total cost of the Veggiburger, cola, and soup by adding them together. So, $3.25 (Veggiburger) + $1.50 (cola) + $2.25 (soup) = $7.00. Next, apply the 4% sales tax on this amount which is $7.00 * 4/100 = $0.28. So the subtotal now is $7.28 ($7.00 + $0.28). Finally, the tip mentioned in the problem is not clear whether it is a percentage or a fixed amount. If it is a 15% tip, then calculate 15% of the subtotal, i.e $7.28 * 15/100 = $1.09 (Approx). Adding this to the subtotal we get $8.37 which is not an option in the given answers. If $15 is a fixed tip amount, the total cost would be substantially larger. Please ensure the tip amount is correct.
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Cans of juice cost 25p each to produce
There are 6 cans in a pack.
12 packs are sold at £3.60 each.
What is the profit?
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Circle J has center J (4,-3) and radius 5 What is the measure, in degrees, of the arc with endpoints A (9,-3) and B (4,2)?
Explain the process you used (in words) and include the work you did to find this answer.
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To find this, we can find the measure of the central angle that intercepts the arc.
The endpoints of the arc are at (9, -3) and (4, 2).
The slope of the line that passes through the endpoint (9, -3) and the center (4, -3) is given by
m=(-3--3)/(9-4) = 0/5 = 0.
Since the slope is 0, this tells us it is a horizontal line.
The line that passes through the endpoint (4, 2) and the center (4, -3) has a slope that is undefined; it is a vertical line at x=4. Numerically the slope is given by
m=(2--3)/(4-4) = 5/0, which is undefined.
These slopes are negative reciprocals of one another; 5/0 and 0/5 (0 has no sign). This means that these two lines would form a right angle, so the central angle of the circle is a right angle.
The intercepted arc has a measure equal to that of the central angle, so the arc is also 90°.
In this triangle, side AT = 24. Please give the value for the sine, cosine, and tangent for this diagram (Which is the marked angle?). Give the value as a ratio ONLY. Make sure all ratios are in the lowest form.
Be sure to explain IN WRITING how you find sine, cosine, and tangent! If you are not sure, check the directions in this problem!
Question 1 options:
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a] Sine
sin x=(opposite)/(hypotenuse)
opposite=7
hypotenuse=25
thus:
sin x= 7/25
b] Cosine
cos x=adjacent/hypotensue
adjacent=24
hypotenuse=25
cos x=24/25
Tangent
Tan x=opposite/adajcent
opposite=7
adjacent=24
thus
tan x=7/24
what is the value of the expression?
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From our circle we can infer that [tex]sin\frac{5 \pi }{3}= \frac{- \sqrt{3} }{2} [/tex] and [tex]cos\frac{5 \pi }{3}= \frac{1}{2} [/tex].
Since [tex]tan \alpha = \frac{sin \alpha }{cos \alpha } [/tex], [tex]tan\frac{5 \pi }{3}= \frac{\frac{- \sqrt{3} }{2}}{\frac{1}{2} } [/tex]
[tex]tan\frac{5 \pi }{3}=- \sqrt{3} [/tex]
We can conclude that [tex]tan\frac{5 \pi }{3}=- \sqrt{3} [/tex].
someone please help asap! Which statement is most likely true for this distribution?
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Answer:
C) The mean is greater than the median.
Step-by-step explanation:
This distribution is right skewed; that means it has a longer tail to the right and the data is "bunched up" at the left.
In a right skewed distribution, the majority of data points are at the smaller end; for this reason, the median will be towards the left side of the graph.
The higher numbers in the "tail" will bring the mean up, making it larger than the median.
The correct statement for the distribution is the mean is greater than the median.
What is mean and median?
The mean is the average of a data set. The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list.
The median is the middle term of a distribution.
It measure determines the middle value of a dataset listed in ascending order.
Therefore, from the distribution the data are rightly skewed. The higher numbers in the "tail" will bring the mean up, thereby making it larger than the median.
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Help needed soon. please
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x = daisies flowers
y = roses flowers
We write the system of equations:
x + 2y = 33
x = y + 3
Solving the system we have:
x = 13
y = 10
Therefore, the cost of roses is:
2 * y = 2 * 10 = 20 $
Answer:
Roses = $ 20
What is the slip of the line given by the equation y=-1/3 x
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[tex]\bf y=\stackrel{slope}{-\cfrac{1}{3}}x~~\stackrel{y-intercept}{+0}[/tex]
PLS HELP! Tanisha is planning a party. She will serve hamburgers, potato salad, strawberry shortcake, and lemonade. Including Tanisha, 28 people will be at the party. Tanisha expects that each person will drink two 8−ounce glasses of lemonade at the party, and makes 448 ounces of lemonade. Tanisha's mother buys 38 lemons. They know it takes 8 lemons to make 80 ounces of lemonade. Does Tanisha need more lemons?
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448 ÷ 80 =5.8
⇒ There are 5.6 80-ounce of lemonade.
80 ounces of lemonade needed 8 lemons.
448 ounces of lemonade needed 8 x 5.6 = 44.8 lemons.
Tanisha has 38 lemons.
She does not have enough lemons.
She needs 44.8 - 38 = 7 more lemons.
Answer: Tanisha needs more lemons. She needs 7 more.
Answer: 7 more lemons
Step-by-step explanation:
Since she needs 448 ounces of lemonade you have to divide which is 5.6 . As a result there are 5.6 80 ounces of lemonade. 80 ounces needs 8 lemons. 448 ounces of lemonade are needed 8 x 5.6 = 44.8 lemons. Tanisha only has 38 lemons, which isn't enough. 44.8 - 38 = is about 7 more lemons.
Solve each of the following right triangles. Round angle measures to the nearest degree and segment lengths to the nearest tenth. Angle C is the right angle of the triangle
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AC=23.
BA=55.2
which transformation can verify congruence by flipping a triangle over the y-axis?
A. Dilation
B. Translation
C. Reflection
D. Rotation
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Answer: C. Reflection
Step-by-step explanation:
There are three rigid transformations which create congruent figures :
a)reflections, b) rotations, c) translations
A reflection is a transformation that flips a figure on the coordinate plane across a given line without changing the shape or size of the figure.
A translation moves a shapes by a particular distance.
A rotation rotates a shape around a fix point by an angle .
Therefore, the transformation can verify congruence by flipping a triangle over the y-axis is reflection.
what is the sum of the geometric series E (-2)(-3)^n-1
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S=(-2)(-3)^(1-1)+(-2)(-3)^(2-1)+(-2)(-3)^(3-1)+(-2)(-3)^(4-1)
S=(-2)[(-3)^0+(-3)^1+(-3)^2+(-3)^3]
S=(-2)[1+(-3)+9+(-27)]
S=(-2)(1-3+9-27)
S=(-2)(-20)
S=40
Answer: Third option 40
Answer:
The sum is 40.
Step-by-step explanation:
Given,
[tex]\sum_{n=1}^{4} (-2)(-3)^{n-1}[/tex]
We know that,
[tex]\sum_{n=1}^{4} (-2)(-3)^{n-1}=(-2)(-3)^{1-1}+(-2)(-3)^{2-1}+(-2)(-3)^{3-1}+(-2)(-3)^{4-1}[/tex]
[tex]=(-2)(-3)^{0}+(-2)(-3)^1+(-2)(-3)^2+(-2)(-3)^3[/tex]
[tex]=-2\times 1 - 2\times - 3 - 2\times 9-2\times -27[/tex]
[tex]=-2+6-18+54[/tex]
[tex]=40[/tex]
Hence,
[tex]\sum_{n=1}^{4} (-2)(-3)^{n-1}=40[/tex]
Please help me, if you'd be so kind.
A right rectangular prism is shown.
What is the length of DH¯¯¯¯¯¯ to the nearest tenth of an inch?
Drag and drop the answer into the box.
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a triangle with a base of 6cm and a height of 8cm is similar to a triangle with base 21cm. What is the height of the second triangle
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Do base over height; [tex] \frac{base}{height}[/tex].
[tex] \frac{6}{8} = \frac{21}{h} [/tex]
h is the height of the second triangle. Solve for h.
Cross multiply.
[tex] \frac{6}{8} = \frac{21}{h} [/tex]
6h = 168
h = 28
The height of the second triangle is 28 cm.
How many arrangements are possible using the letters in the word fuzzy if each letter "z" is distinctly different than the other? how many arrangements are possible if the letter "z" is interchangeable with the other? explain your reasoning?
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[tex]P\left(5,5\right)=5!=5\cdot 4\cdot 3\cdot 2\cdot 1=120[/tex]
If the z's are interchangeable, the number of different arrangements is given by
[tex]\frac{5!}{2!}=5\cdot 4\cdot 3=60[/tex]
When each letter "z" is distinctly different, there are 60 possible arrangements.
When the letter "z" is interchangeable with the others, there are 24 possible arrangements.
1. When each letter "z" is distinctly different from the others:
- The word "fuzzy" has 5 letters in total, including 2 "z" letters.
- To calculate the number of arrangements, we use the formula for permutations with repeated elements:
- The formula is: n! / (n1! n2! ... * nk!)
- n is the total number of letters in the word (5 in this case).
- n1, n2, ... are the number of repetitions of each distinct letter.
- Calculating: 5! / (1! 2! 1! * 1!) = 120 / 2 = 60 arrangements.
2. When the letter "z" is interchangeable with the other letters:
- In this case, there are 4 distinct letters in the word "fuzzy" (f, u, z, y).
- The total number of arrangements can be calculated using the formula for permutations of distinct items.
- Calculating: 4! = 24 arrangements.
In summary:
- When each letter "z" is distinctly different, there are 60 possible arrangements.
- When the letter "z" is interchangeable with the others, there are 24 possible arrangements.
HEEEELLLPP!!!!!!!!!!!!!!!WILL GIVE THE BRAIN!!!!!POINTS!!!!!!!
plz
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It is the local minimum as it is the minimum point in the neighboring. The term local is used, as it is the lowest point within a short interval and not for the entire function.
The interval which correctly shows the local minimum is [-3, -1]
So, the correct answer is option Third
Suppose that a small town has seven burger shops whose respective shares of the local hamburger market are (as percent- ages of all hamburgers sold): 23 percent, 22 percent, 18 percent, 12 percent, 11 percent, 8 percent, and 6 percent. what is the four-firm concentration ratio of the hamburger industry in this town
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Compute the stock turnover in dollars for a product that has sales of $6,000 and an average value of inventory investment of $1,500.
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Solution:
Inventory turnover = Cost of goods sold/Average inventory
Substituting the values given for cost of goods and average inventory;
Inventory turnover = 6,000/1,500 = 4
Answer: 4
Step-by-step explanation:
Given: Cost of product sold = $6,000
Average value of inventory= $1,500
We know that the inventory turnover formula is given by :-
[tex]\text{Inventory turnover}=\frac{\text{ Cost of product sold}}{\text{Average value of inventory}}[/tex]
[tex]\\\Rightarrow\ \text{Inventory turnover}=\frac{\$6,000 }{\$1500}\\\\\Rightarrow\ \text{Inventory turnover}=4[/tex]
Therefore, the stock turnover for a product that has sales of $6,000 and an average value of inventory investment of $1,500 = 4
Which of the following is an undefined term?
Angle
Circle
Plane
Ray
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Answer:
Plane is an undefined plane
Step-by-step explanation:
Hi, there are three undefined terms in geometry: point, line, and plane.
Point: has no size, only location . It can be named with a capital letter.
Plane: a flat surface that has no thickness, that extends infinitely n every direction. Is named by a single letter or by three coplanar, but non-collinear, points.
Line: Set of points extending in either direction infinitely.
Angle, circle, and ray are not undefined terms. are not Plane.
Find the surface area of the cylinder in terms of π.
See picture
a) 1008π in.2
b) 522π in.2
c) 360π in.2
d) 396π in.2
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The unt informs club has 16 members. they need to elect a president, a vice president, a secretary and a treasurer. how many different ways can this group of 4 officers be formed? (order is important)
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Hope this helped!
Four golf balls are packaged in a cylindrical container as shown below. The balls just touch the top, bottom, and sides of the cylinder. The diameter of each ball is 4cm.
What is the volume of the cylinder rounded to the nearest cubic centimeter?
What is the total volume of the four balls rounded to the nearest cubic centimeter?
What percent of the volume of the container is occupied by the four balls?
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Please, see the attached files.
Thanks.
I really need help
What is the equation of a circle with its center at(10,−4) and a radius of 4?
(x−10)2+(y+4)2=4
(x+10)2+(y−4)2=16
(x−10)2+(y+4)2=16
(x+10)2+(y−4)2=2
(x−10)2+(y+4)2=2
(x−10)2+(y+4)2=8
(x+10)2+(y−4)2=8
(x+10)2+(y−4)2=4
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(x-10)²+(y+4)²=16
The equation of any circle is
(x – h)² + (y – k)² = r²
(h,k) is the center point and r is the radius