A z-score is a standardized value that represents the number of standard deviations a given score is above or below the mean in a normal distribution. In this case, the area under the standard normal curve is 0.1271, and the corresponding z-score is approximately -1.14.
Explanation:A z-score is a standardized value that represents the number of standard deviations a given score is above or below the mean in a normal distribution.
It allows for comparison of scores from different data sets with different means and standard deviations. In this case, we are given the area under the standard normal curve and asked to find the corresponding z-score.
To find the z-score, we can use a z-table, which shows the area under the normal curve to the left of each z-score. In the given problem, the area under the curve is 0.1271.
By looking up the closest area in the z-table, we find that the z-score is approximately -1.14.
Final answer:
The z-score represents the number of standard deviations a value is from the mean in a standard normal distribution.
Explanation:
The z-score represents the number of standard deviations a value is from the mean in a standard normal distribution. To find the z-score, we can use the z-table or a calculator. In this case, the area under the standard normal curve is given as 0.1271. Using the z-table, we can find the z-score that corresponds to this area and enter it in the box.
Write the equation in standard form for the circle with radius 8 centered at the origin.
Answer:
x^2 + y^2 = 8^2
Step-by-step explanation:
The general equation in standard form here is x^2 + y^2 = r^2.
Replace r with 8, obtaining:
x^2 + y^2 = 8^2
The standard form equation of a circle with a radius of 8 and centered at the origin is x² + y² = 64.
The equation for a circle centered at the origin with a given radius can be written in standard form. For a circle with a radius of 8, which is centered at the origin, the standard form equation is x² + y² = 64. This equation is derived from the general formula for a circle's equation in standard form, which is (x - h)² + (em)(y - k)² = R², where (h, k) is the center of the circle and R is the radius. Since the center is at the origin, h and k both equal zero.
Please answer this question only if you know the answer!! 30 points and brainliest!
Bar graphs are easy to understand, widely used, and can show changes over time. That gives them an advantage over other graphs that are difficult to read or can only show a single data set.
They use vertical or horizontal bars to represent data along both an x-axis and a y-axis visually. Each bar represents one value, so it'll be an advantage for Peter because he can add as many colours he wants and the graph would still be easy to read. When the bars are stacked next to one another, the viewer can compare the different bars, or values, at a glance.
What are the opposites of 5, ?2.5, 1.15, and 9 1 5 ? Enter the answers in respective order, each separated by comma.
The opposites of the numbers 5, -2.5, 1.15, and 915 are -5, 2.5, -1.15 and -915 respectively. The opposite of a number is its value, but it is in the opposite direction on a number line.
Explanation:The opposite of a number is the value that is exactly as far from 0, but in the opposite direction on a number line. Thus, the opposite of a positive number is the same number, but negative. Similarly, the opposite of a negative number is the same number, but positive. So the opposites of the given numbers 5, -2.5, 1.15, and 915 would be -5, 2.5, -1.15, and -915 respectively.
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What is the function rule for g?
Answer:
[tex]g(x)=8(2^x)[/tex]
Step-by-step explanation:
Here we are given with parent function [tex]f(x)=2^x[/tex] and the graph which shows that the function g(x).
We are asked to guess the function g(x).
We are given the two coordinates on g(x)
(0,8) and (2,32)
Hence for x = 0 , g(x)= 8
And for x=2, g(x)= 32
Let us say that the translated function is represented by
[tex]g(x)=a2^x+b[/tex]
[tex]g(0)=a\times 2^0+b[/tex]
Hence
[tex]a \times 2^0+b=8[/tex]
[tex]a +b=8[/tex] --------------- (i)
also
[tex]g(2)=32[/tex]
Hence
[tex]a\times 2^2+b=32[/tex]
[tex]4a+b=32[/tex] -------------------(ii)
Subtracting (i) from (ii) we get
[tex]3a=34[/tex]
Hence a = 8
Now putting this value of a in (i)
[tex]8+b=8[/tex]
B=0
Hence [tex]g(x)=8 \times 2^x +0[/tex]
[tex]g(x)=8(2^x)[/tex]
Please help me solve this!!
Answer:
WR = 26
Step-by-step explanation:
Givens
UT = 10
VS = 18
WR = ??
Formula
(WR + UT) / 2 = VS
Solution
Substitute
(WR + 10) /2 = 18
Multiply both sides by 2
(WR + 10/2 * 2 = 18 * 2
Do the multiplication
WR + 10 = 36
Subtract 10 from both sides
WR + 10 - 10 = 36 - 10
WR = 26
What can you say about the end behavior of the function [tex]f(x) = -4x^6 + 6x^2-52[/tex]
(Possibly multiple choice)
A. f(x) is even so both ends of the graph go in the same direction.
B. The leading coefficient is negative so the left end of the graph goes down.
C. f(x) is even so both ends of the graph go in opposite directions.
D. The leading coefficient is negative so the left end of the graph goes up.
Answer:
Option A. is even so both ends of the graph go in the same direction.
Step-by-step explanation:
Graphing the function give we can recognize the factor is even, but at the same time both the ends go in the same direction.
At 10:00 AM a truck started traveling from point A with a speed of 40mph. 3 hours and 10 minutes later a car started to drive from point A in the same direction with an average speed of 60mph. At what time will the car catch up with the truck?
Answer:
7:30 pm
Step-by-step explanation:
The difference in speed is 20 mph, half as fast as the truck's speed. This is the speed at which the gap is closed. So, the head start that the truck has will be closed in a time after the car started that is twice as long as the time before the car started. That is, they will meet at ...
10:00 + 3:10 + 2×3:10
= 13:10 + 6:20 = 19:30 . . . . . 7:30 pm
Answer:
7:30 pm that is the answer i solved it
HELP ME OUT? For each set of three lengths, determine if they can be the side lengths of a triangle.
Answer:
12, 13, 4
Sum of the squares of the smaller 2 sides < longest side squared - OBTUSE SCALENE TRIANGLE
6, 4, 11
LONGEST SIDE GREATER THAN OR EQUAL TO THE SUM OF THE OTHER TWO SIDES - NO TRIANGLE.
7, 6, 5
Sum of the squares of the smaller 2 sides > longest side squared - ACUTE SCALENE TRIANGLE
3, 14.5, 17
Sum of the squares of the smaller 2 sides < longest side squared - OBTUSE SCALENE TRIANGLE
Step-by-step explanation:
Final answer:
To determine if a set of three lengths can be the side lengths of a triangle, we need to apply the triangle inequality theorem.
Explanation:
In order for a set of three lengths to be the side lengths of a triangle, they must satisfy the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side. This can be represented as:
a + b > c
a + c > b
b + c > a
For example, if the given lengths are 3, 4, and 7, we can check if they satisfy the inequality:
3 + 4 > 7
3 + 7 > 4
4 + 7 > 3
Since all of these inequalities are true, the lengths 3, 4, and 7 can indeed be the side lengths of a triangle.
What is the value of p?
[tex]x=-\frac{1}{8} y^2[/tex]
**The question is not incomplete. Thank you**
ANSWER
[tex]p = - 2[/tex]
EXPLANATION
The given equation is
[tex]x = - \frac{1}{8}{y}^{2} [/tex]
Multiply both sides by -8
[tex] \implies \: {y}^{2} = - 8x[/tex]
We now compare this to the general equation of the parabola:
[tex] {y}^{2} = 4px[/tex]
This implies that,
[tex]4p = - 8[/tex]
Divide both sides by 4.
[tex]p = \frac{ - 8}{4} [/tex]
[tex]p = - 2[/tex]
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Which situation involves descriptive statistics?
Answer:
Step-by-step explanation:
The last three situations involve "descriptive statistics," which could mean measures of central tendency and measures of the spread of data. The first one does not, since no exploratory work has yet been done.
It's important that you look up terms such as this one and be able to come up with examples on your own.
Solve the following inequality: 3x + 9 ≤7x -11.
Answer:
x ≥ -3
Step-by-step explanation:
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
-4x - 12 = -4 • (x + 3)
Equation at the end of step 1 :
Step 2 :
2.1 Divide both sides by -4
Remember to flip the inequality sign:
Solve Basic Inequality :
2.2 Subtract 3 from both sides
x ≥ -3
Inequality Plot :
2.3 Inequality plot for
-4.000 X - 12.000 ≥ 0
Answer:
5 ≤x
Step-by-step explanation:
3x + 9 ≤7x -11
Subtract 3x from each side
3x-3x + 9 ≤7x-3x -11
9 ≤4x -11
Add 11 to each side
9+11 ≤4x -11+11
20 ≤4x
Divide each side by 4
20/4 ≤4x /4
5 ≤x
Need help fast please help me 45points
Answer:
yes these functions are inverse
Step-by-step explanation:
so heisjsksbKjsbkaosbdjskms
Which table does NOT represent a function?
A)
B)
C)
D)
Answer: D.
Step-by-step explanation: Your Answer Is D. This Does Not Represent A Function.
A table that does not represent a function include the following; D. table D.
What is a function?In Euclidean Geometry, a function refers to a mathematical expression which is used for defining and representing the relationship that exists between two or more variables such as an ordered pair.
This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable (Set P) to an output variable (Set Q).
In this context, we can logically deduce that table D does not represent a function because the same input value is mapped to different output values;
0 ↔ -1
0 ↔ 4
0 ↔ 6
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The area of w is 289 pi m². Find the circumference of w A. c=17 pi m B. c= 34 pi m C. c=68 pi m D. c=289 pi m
The area of w is 289 pi m². Find the circumference of w A. c=17 pi m B. c= 34 pi m C. c=68 pi m D. c=289 pi m
Answer: 34 pi
Step-by-step explanation:
someone, please help me!!
Answer:
5,5
Step-by-step explanation:the slope is going up 1 and to the right 3 3/1
Answer:
Step-by-step explanation:
5,5 that is the answer my frienddd
A toy store's percent of markup is 40%.A model train costs the store $90. Find the markup
Answer:
$126
Step-by-step explanation:
First, use the general percent equation (y is x% of z, y being your part percentage, x being your percent, and z being your whole base).
y = 40% x 90 --> .4 x 90 = 36
y = 36
Now, simply add the part percentage (36) to the original whole base.
90 + 36 = 126
The markup price of the model is equal to $126.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that a toy store's per cent of markup is 40%. A model train costs the store $90.
First, use the general per cent equation (y is x% of z, y being your part percentage, x being your per cent, and z being your whole base).
y = 40% x 90 --> .4 x 90 = 36
y = 36
Now, simply add the part percentage (36) to the original whole base.
90 + 36 = 126
The markup price of the model is $126.
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What is the surface area of the regular pyramid below?
A. 1512 units^2
B. 700 units^2
C. 1124 units^2
D. 756 units^2
ANSWER
B. 700 units^2
EXPLANATION
The surface area of the pyramid is the area of the four triangular faces plus the area of the square base.
The area of the four triangular faces is
[tex] = 4 \times \frac{1}{2} \times bh[/tex]
We substitute b=14 and h=18.
[tex] = \frac{1}{2} \times 14 \times 18 \times 4[/tex]
[tex] =504 {units}^{2} [/tex]
The area of the square base
[tex] = {14}^{2} = 196 {units}^{2} [/tex]
The surface area of the pyramid is
[tex] = 196 + 504 = 700 {units}^{2} [/tex]
Which of the following is the surface area of the right cylinder below?
Answer: Option A.
Step-by-step explanation:
You need to use this formula for calculate the surface area of the right cylinder:
[tex]SA=2\pi r^2+2\pi rh[/tex]
Where "r" is the radius and "h" is the height.
You can identify in the figure that:
[tex]r=8units\\h=3units[/tex]
Knowing this, you can substitute these values into the formula [tex]SA=2\pi r^2+2\pi rh[/tex], therefore you get that the surface area of this right cylinder is:
[tex]SA=2\pi (8units)^2+2\pi (8units)(3units)[/tex]
[tex]SA=176\pi\ units^2[/tex]
Calculate the area of a circle with a radius of 2 cm and a circle with a radius of 4 cm. Leave your answers in terms of pi.
Answer:
See below in bold.
Step-by-step explanation:
Area of a circle with radius 2 cm = πr^2 = π * 2^2 = 4π cm^2.
Area of a circle with radius 4 cm = πr^2 = π * 4^2 = 16π cm^2.
I ONLY GOT ONE SHOT!! PLEASE HELP, IT'S KIDA EASY IG, IM JUST DUMB.. WILL GIVE BRAINLIEST AND VOTE!! AT LEAST LOOK
1. Consider the function f(x)=x2
What effect does subtracting 2 from the input have on the graph of the function?
(PICK ONE)
A Shifts the graph up 2.
B Shifts the graph right 2.
C Stretches the graph vertically by 2.
D Compresses the graph horizontally by 2.
E Shifts the graph down 2.
F Shifts the graph left 2.
Answer:
Shifts the graph left 2, would look like
(x+2)^2
Step-by-step explanation:
A group of 10 students participate in chess club, karate club, or neither. Let event A = The student is in karate club. Let event B = The student is in chess club.
One of these students is randomly selected. What is P(A/B)?
Answer:
option A
2/4 = 0.5
Step-by-step explanation:
Given in the questions that,
number of student in chess club = 4
P(B) = 4/10
number of student in karate club = 6
P(A) = 6/10
number of students who are both in chess and karate club = 2
P(A∩B) = 2/10
total number of students 10
Formula to use
P(A/B) = P(A∩B) / P(B) = 2/10 / 4/10 = 2/4 = 1/2 = 0.50
Answer:
P(A/B) = P(A∩B) / P(B)
= 2/10 / 4/10
= 2/4
= 1/2
= 0.50
Step-by-step explanation:
on a clear day you can see about 25.2 miles from the upper observation platform of the Eiffel tower in Paris. Using the formula below, estimate the height in feet, h, of the upper observation platform.
[tex]d=\frac{5}{6} \sqrt{h}[/tex]
A. 875 feet
B. 4.2 miles
C. 529 feet
D. 914 feet
Answer:
D. 914 feet
Step-by-step explanation:
We are given the distance that a person can see on a clear day from the upper observation platform of the Eiffel tower in Paris. We are then required to estimate the height of the upper observation platform using the formula;
[tex]d=\frac{5}{6}\sqrt{h}[/tex]
Where d is the distance and h the height of the upper observation platform. The first step would be to solve for h, that is make h the subject of the formula in the above equation;
We multiply both sides of the equation by the reciprocal of 5/6 which is 6/5;
[tex]\sqrt{h}=\frac{6}{5}d[/tex]
The next step is to eliminate the square root on the Left Hand Side of the equation by squaring both sides;
[tex]h=1.44d^{2}[/tex]
Given d is 25.2, h becomes;
[tex]h=1.44*25.2^{2}\\h=914.4576[/tex]
To the nearest whole number, h becomes 914
The correct option is D. The height of the upper observation platform is approximately 914 feet
To estimate the height h in feet of the upper observation platform using the given formula [tex]d = \frac{5}{6} \sqrt{h}[/tex] , follow these steps:
1. Given:
d = 25.2 miles
We need to solve for h .
2. Substitute the given d into the formula:
[tex]25.2 = \frac{5}{6} \sqrt{h}[/tex]
3. Isolate [tex]\sqrt{h}[/tex]:
Multiply both sides by [tex]\frac{6}{5}[/tex] to get rid of the fraction:
[tex]25.2 \times \frac{6}{5} = \sqrt{h}[/tex]
4. Calculate the left side:
[tex]25.2 \times \frac{6}{5} = 25.2 \times 1.2 = 30.24[/tex]
So,
[tex]\sqrt{h} = 30.24[/tex]
5. Square both sides to solve for h :
[tex](\sqrt{h})^2 = 30.24^2 \\\\h = 30.24^2[/tex]
6. Calculate 30.24^2 :
[tex]30.24 \times 30.24 = 914.0576[/tex]
7. Round to the nearest whole number:
[tex]h \approx 914 \text{ feet}[/tex]
Therefore, the height of the upper observation platform is approximately 914 feet, which matches option D.
Answer: D. 914 feet
Mark wants to visit the 10 colleges he is considering attending. He can only spend the night at 3 of them. What is the probability that he spends a night at Rutgers University, a night at the University of Miami, and a night at Clemson University?
Final answer:
The probability that Mark spends a night at Rutgers University, the University of Miami, and Clemson University is 1/720, or approximately 0.00139.
Explanation:
To find the probability that Mark spends a night at Rutgers University, a night at the University of Miami, and a night at Clemson University, we assume that these choices are made without replacement from the 10 colleges he is considering. As he can only spend the night at 3 of them, his first choice has a 1 in 10 chance of being Rutgers University, his second choice a 1 in 9 chance of being the University of Miami, given that his first choice was Rutgers, and his third choice a 1 in 8 chance of being Clemson University, given that his first two choices were Rutgers and the University of Miami.
The overall probability is the product of these independent probabilities:
Probability = (1/10) × (1/9) × (1/8) = 1/720
Therefore, the probability is 1/720, or about 0.00139 when rounded to five decimal places.
a right triangle has one side that measures 4 in. the angle opposite that side measures 80° what is the length of the hypotenuse if the triangle? round to the nearest tenth.
Answer:
The length of the hypotenuse is 4.1 in
Step-by-step explanation:
By definition, the sine of an angle is:
[tex]sin(x) = \frac{opposite\ side}{hypotenuse}[/tex]
In this case they tell us that the opposite side measures 4 inches and the angle x measures 80 °.
With this information we can find the length of the hypotenuse h
[tex]sin(80\°) =\frac{4}{h}\\\\h = \frac{4}{sin(80\°)}\\\\h = 4.062\ in[/tex]
Finally the length of the hypotenuse is 4.1 in
Answer:
B: 4.1 in.
Step-by-step explanation:
on edge! hope this helps!!~ ⊂((・▽・))⊃
SOMEONE PLEASE JUST ANSWER THIS FOR BRAINLIEST!!!
-11a^2+1ab+4b^2; P-Q would mean you rearrange the equation to where (-4a^2-2ab+9b^2)-(7a^2-3ab+5b^2). Don't forget to distribute the negative for Q since you plugged it into a variable.
-4a^2-2ab+9b^2-7a^2+3ab-5b^2
Add/Subtract like terms
-11a^2+1ab+4b^2
Greg wants to find the amount of concrete needed to cast a pillar he has designed. The pillar will have a base area of 1/28 square yard and a height of 1/14 yard. How much concrete does he need to cast the pillar?
A. 1/256 cubic yard
B. 1/392 cubic yard
C. 1/484cubic yard
D. 1/512 cubic yard
Answer:
B. 1/392 cubic yard
Step-by-step explanation:
The volume is the product of base area and height:
V = Bh = (1/28 yd²)·(1/14 yd) = 1/(28·14) yd³ = 1/392 yd³
Answer:
B. 1/392 cubic yard
Step-by-step explanation:
Given,
The base area of the pillar, B = [tex]\frac{1}{28}[/tex] square yard ,
Its height, h = [tex]\frac{1}{14}[/tex] yd
Thus, the volume of the pillar would be,
[tex]V=B\times h[/tex]
[tex]=\frac{1}{28}\times \frac{1}{14}[/tex]
[tex]=\frac{1}{28\times 14}[/tex]
[tex]=\frac{1}{392}\text{ square yard}[/tex]
Since, the concrete he needs to cast the pillar = Volume of the pillar
= [tex]\frac{1}{392}\text{ square yard}[/tex]
Option 'B' is correct.
What’s the answer please and thank you!
Answer:
Subtraction Property on Equality.
Step-by-step explanation:
2. 15x + 6 = -24
15x + 6 - 6 = -24-6
15x = -30
Subtraction Property on Equality.
PLEASEEE HELP !!!! BRAINLEST TO WHOEVER ANSWERS !
ANSWER
[tex]g(x) = - 3x[/tex]
EXPLANATION
The given function is
f(x)=x
If this function is vertically stretched by a factor of 3 and flipped over the x-axis then the new function is
[tex]g(x) = - 3x[/tex]
The negative sign means there is a reflection in the x-axis.
The correct choice is A.
Kayleigh deposited $850 into a savings account
The equation A=d(1.005)^12t models the value of Kayleigh investment A after t years with an initial deposit d.
What would the value of Kayleigh’s investment be in 7 years round answers to the nearest cent
Answer:
fadsfdaskfgadsghkfdsaghfjdasbmncvxzgwgriuewryhdkewghdfskljghdfsgdfgasdgdfsgfdagdfsjkjbkb,kbnkbhkjbh
Step-by-step explanation:
dsafdasfdasdfasghdfsghdfshdfashndsfgndfgadgbadfgbafddryhbbgdrfbdf
The value of Kayleigh's investment in 7 years is approximately $930.05.
Explanation:To find the value of Kayleigh's investment in 7 years, we can use the given equation A = d(1.005)^12t. Let's substitute the values: d = $850, t = 7.
Plugging in these values, we have A = 850(1.005)^(12*7).
Evaluating the expression, the value is approximately $930.05 when rounded to the nearest cent.
This implies that Kayleigh's initial investment of $850, compounded monthly at a rate of 0.5%, will grow to around $930.05 after 7 years.
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The top of an antenna tower is 125 ft. above level ground. The tower is to be guyed 20 ft. from its top to a point on the ground 80 ft. from the base of the tower· What is the length of the guy wire?
o see what is going on, we simply draw a triangle. Since the tower is 125 feet high, but the guy wire is 20 feet from the top, the triangle is 125 - 20 = 105 feet high, then 80 feet long.
Using the pythagorean theorem, 105^2 + 80^2 = g^2
g^2 = 11025 + 6400 = 17425
g = sqrt(17425)
g = 132.0038 feet = 132 feet
Hope this helps!
The length of the guy wire is 132 ft, determined by using the Pythagorean theorem with the given vertical and horizontal distances.
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
First, note that the height from the ground to the attaching point of the guy wire is 125 ft - 20 ft = 105 ft.The horizontal distance from the base of the tower to the point where the guy wire is attached on the ground is 80 ft.Use the Pythagorean theorem: a² + b² = c², where a = 105 ft and b = 80 ft.Calculate: 105² + 80² = c²11025 + 6400 = c² => 17425 c = √17425 => c ≈ 132 ft.Therefore, the length of the guy wire is 132 ft.
Complete question:
The top of an antenna tower is 125 ft. above level ground. The tower is to be guyed 20 ft. from its top to a point on the ground 80 ft. from the base of the tower· What is the length of the guy wire?
68 ft132 ft148 ft