P(z ≤ 0. 82) or p-value corresponding to z ≤ 0. 82 comes to be approximately 80%.
What is a z-score?Z-score indicates how much a given value differs from the standard deviation.
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Where [tex]\mu[/tex] = mean
[tex]\sigma[/tex]=standard deviation
P(z ≤ 0. 82) means the p-value corresponding to z≤ 0. 82.
From the standard normal table
P(z ≤ 0. 82) ≈80%.
Hence, P(z ≤ 0. 82) or p-value corresponding to z ≤ 0. 82 comes to be approximately 80%.
To get more about the z-score visit:
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15 of 15 Find the size of the final unknown interior angle in a polygon whose other interior angles are: 162°, 115°, 125°, 148° and 105°.
answer ?
Answer: 147 Degrees
Step-by-step explanation
The size of the final unknown interior angle in a polygon is 147 degrees.
Given that,
The other interior angles are 162°, 115°, 120°, 148° and 85°.
We assume that there is an equation (2n - 4) 90.
Here n be 7.
Based on the above information, the calculation is as follows:
= (2n - 4) 90
= ((2) (7) - 4) 90
= 10 (90)
= 900
Now the size of the unknown interior angle is
= 900-(162+125+148+105+98+115)
= 900 - 753
= 147°
Therefore we can conclude that the size of the final unknown interior angle in a polygon is 147 degrees.
Matia claims "When you square any number, the result is always greater than that number." Matia used the example 32 = 9 and 9 is greater than 3
Answer:
[tex] {3}^{2} = 9 \\ \\ 81 = 9[/tex]
Answers:
Choice A) 0
Choice B) 0.5
=======================================================
Explanation:
Matia claims that [tex]x^2 > x[/tex]
However, the claim isn't true when 0 ≤ x ≤ 1.
For example, x = 0 leads to [tex]x^2 = 0^2 = 0[/tex]
Meaning that [tex]x^2 > x[/tex] would update to [tex]0 > 0[/tex] which is false.
------------------
Similarly, if x = 0.5, then
[tex]x^2 > x\\\\0.5^2 > 0.5\\\\0.25 > 0.5 \ \text{which is also false}\\\\[/tex]
Because the last inequality is false, the first inequality must also be false for x = 0.5
-------------------
Those last two previous sections showed that x = 0 and x = 0.5 are counter-examples to Matia's claim to thereby prove it false.
Will choose Brainliest.
Jessica and Martha each have a bag of cookies with unequal quantities. They have 30 cookies total between the two of them. Each of them ate 6 cookies from their bag. The product of the number of cookies left in each bag is not more than 80.
How many more cookies will Jessica have than Martha?
If x represents the number of cookies Jessica started with, complete the statements below.
The inequality that describes the relationship between the number of cookies each one of them has is x^2- _ x + 224 ≥ 0
Jessica has at least
_ cookies more than Martha.
Answer:
Part A: [tex]x^2-30x+224\geq 0[/tex]
Part B: Jessica has at least 2 cookies more than Martha
Step-by-step explanation:
Since there are 2 question-
Let,
How many more cookies will Jessica have than Martha?If x represents the number of cookies Jessica started with, complete the statements below. Be Part A:
Let,
The inequality that describes the relationship between the number of cookies each one of them has is x^2- _ x + 224 ≥ 0 Jessica has at least _ cookies more than Martha.
Be Part B:
Hint:
J=Jessica
30-J=Martha
(J-6)*((30-J)-6)<=80
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Solve:
Starting with Part A: Find the inequality that describes the relationship between the number of cookies each one of them has
Let,
"x" be the number of cookies when Jessica started
"30-x" be the number of cookies when Martha started
Given us that:
Each of them ate 6 cookies from their bag
Therefore,
Cookie left in each bag are:
(x-6) which is - Jessica
30 - x - 6 = (24 - x) - Martha
Solution - (x-6)(24-x)
The product of the number of cookies left in each bag is not more than 80.
Thus,
[tex](x-6)(24-x\leq 80[/tex]
[tex]24x-x^2-144+6x\leq 80[/tex]
[tex]-x^2+30x-144-80\leq 0[/tex]
[tex]-x^2+30x-244\leq 0[/tex]
[tex]\mathrm{Multiply\;by\;-1\;both\;sides}[/tex]
[tex]x^2-30x+224\leq 0[/tex]
Hence, Answer = [tex]x^2-30x+224\leq 0[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Solve:
Part B: Solve the quadratic equation:
[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:14\le \:x\le \:16\:\\ \:\mathrm{Interval\:Notation:}&\:\left[14,\:16\right]\end{bmatrix}[/tex]
[tex]\left(x-14\right)\left(x-16\right)\le \:0[/tex]
[tex]14\le \:x\le \:16[/tex]
The solution is x=16 cookies
Thus, (30-x)=30-16=14 cookies
Now we know that;
The number of cookies when Jessica started was 16 cookies
The number of cookies when Martha started was 14 cookies
So,
The number of cookies left in each bag is equal to
Jessica:
16-6=10 cookies
Martha:
14-6=8 cookies
10 > 8
As a result, Jessica has at least 2 cookies more than Martha.
Fill in blank for:
The inequality that describes the relationship between the number of cookies each one of them has is x^2 - __30__ x +224 >= 0.
Jessica has at least __2__ cookies more than Martha.
~Lenvy~
pleaseeee help me solve for X.
Answer:
x-17.5
Step-by-step explanation:
angles in a triangle add to 180
3x+8+(2x-3)+5x = 180
simplify(collect like terms):
10x + 5 = 180
solve:
10x = 175
x=17.5
PLS HELP
Lacey has a roll of wrapping paper with 2 3/4 yards remaining. She has six boxes to wrap, each of which requires 3/8 of a yard of paper. Will Lacey have enough wrapping paper left to also wrap a book that requires 1/2 yard of paper? Support your answer by showing your work.
Answer: Yes
Step-by-step explanation:
Step #1: Lacey has 2 3/4 yards of wrapping paper remaining. She has six boxes to wrap, each of which requires 3/8 of a yard of paper. First, you must find the total number of yards of wrapping paper needed for six boxes.
Number of boxes * Number of wrapping paper required for each box
6 x 3/8 = 9/4
Step #2: Subtract the number of yards of wrapping paper remaining by the total number of wrapping for 6 boxes.
2 3/4 - 9/4 = 1/2
Step #3: Determine and solve whether Lacey will have enough wrapping paper left to also wrap a book that requires 1/2 yard of paper. To solve, subtract the remaining amount of wrapping paper by the amount of wrapping required for a book.
1/2 - 1/2 = 0
So, yes Lacey will have just enough wrapping paper to also wrap a book that requires 1/2 yard of paper.
can someone explain how to do "interquartile range"
What is it?
The IQR describes the middle 50% of values when ordered from lowest to highest. To find the interquartile range (IQR), first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
How do you find IQR?
Step 1: Put the numbers in order. ...
Step 2: Find the median. ...
Step 3: Place parentheses around the numbers above and below the median. Not necessary statistically, but it makes Q1 and Q3 easier to spot. ...
Step 4: Find Q1 and Q3. ...
Step 5: Subtract Q1 from Q3 to find the interquartile range.
Answer:
The answer to this quesion is a measure of statistical dispersion, the spread of data or observations, first you need to get the data find the median calculate the median from both lower and upper half of the data and the iqr is the diffrence between the lower and upper.
Step-by-step explanation:
I Hope This Helps You!
-Justin:)
look at the screenshot
Answer:
37 is the answer for the first one because 600-45=555/15=37 and 270-15=255/15=17 for the second one.
PLEASE PLEASEEEE help me out with this!!! I’d appreciate it so so much.
Answer: (-√(3) /2, 1/2)
Step-by-step explanation:
The triangle created is a 30 60 90 triangle, and thus the opposite side of the angle equals the y-coordinate which equals 1/2, and the adjacent side of the angle equals the x-coordinate which equals -√(3) /2
Please help im confused on both.
Answer: (1) and (4)
Step-by-step explanation:
The parts listed in the ciongruence statements don't correspond, so they aren't necessarily congruent.
I have to turn a bunch of these questions tomorrow so pleade help
Answer:
21,42/2,-(42/-2)
Step-by-step explanation:
please mark me as brainlest
pls help!! 15 points!
A trapezoidal prism undergoes a dilation. The surface area of the pre-image is 35 m2. The surface area of the image is 315 m². The height of the pre-image is 5.8 m. What is the height of the image? Enter your answer as a decimal in the box m
When trapezoidal prism undergoes a dilation, the size of the prism changes
The height of the image is 52.2 meters
How to determine the height of the image?The given parameters are:
A1 = 35 m²
A2 = 315 m²
H1 = 5.8 m
To calculate the height of the image, we make use of the following equivalent ratio
A1 : H1 = A2 : H2
So, we have:
35 : 5.8 = 315 : H
Express as fractions
35/5.8 = 315/H
Make H the subject
H = 315 * 5.8/35
Evaluate the product
H = 52.2
Hence, the height of the image is 52.2 meters
Read more about dilation at:
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Answer:
17.4
Step-by-step explanation:
Each side of the square below is 8 inches. a triangle inside of a square. the top of the triangle divides a side of the square into 2 equal parts of 4 inches. the triangle is shaded and the area to the right of the triangle is shaded. what is the probability that a point chosen at random in the square is in the blue region? 0.25 0.33 0.66 0.75
The probability that a point chosen at random in the square is in the blue region is given by: Option D: 0.75
How to find the geometric probability?When probability is in terms of area or volume or length etc geometric amounts (when infinite points are there), we can use this definition:
E = favorable eventS = total sample spaceThen:
[tex]P(E) = \dfrac{A(E)}{A(S)}[/tex]
where A(E) is the area/volume/length for event E, and similar for A(S).
For this case, we're given that:
We want to get probability for a randomly chosen point in square to be in the blue region.The diagram is attached below.The favorable space is the blue shaded region.
The total sample space is the area of the considered square.
Let we take:
E = event of choosing point in the blue shaded region
Now, we have:
Area of blue region = Area of triangle with base = height = 8 inches + Area of right sided triangle which has base of 4 inch (look it upside down), and height of 8 inches
Area of blue region = [tex]\dfrac{1}{2} \times (8 \times 8 + 4 \times 8) = 48 \: \rm in^2[/tex]
Area of the square of sized 8 inches = 64 sq. inches.
Thus, we get:
[tex]P(E) = \dfrac{A(E)}{A(S)} = \dfrac{48}{64} = \dfrac{3}{4} = 0.75[/tex]
Thus, the probability that a point chosen at random in the square is in the blue region is given by: Option D: 0.75
Learn more about geometric probability here:
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Carley can mow the lawn in 5 hours. When Carley and her dad work together, they can do it in 2
hours. How long does it take Carley's dad to mow the lawn?
The time it will take Carley's dad to mow the lawn is 3.3 hours.
What is rate?Rate is the ratio between two related quantities in different units. Therefore,
The rate Carley do the lawn = 1 / 5
When they work together they do it the 1 / 2 rate.
Therefore,
let
the hours it takes Carley dad = x hours . Therefore,
1 / 5 + 1 / x = 1 / 2
x + 5/ 5x = 1 / 2
cross multiply
2(x + 5) = 5x
2x + 10 = 5x
10 = 5x - 2x
10 = 3x
x = 10 / 3
x = 3.3 hours
learn more on rate here: https://brainly.com/question/4598703
PLS HELP QUICK
Rachel designs a small flower garden for her new home. The garden is the shape of a rectangle, with a quarter circle added to each of the shorter sides of the rectangle. The shorter sides of the rectangle each measure 4 feet. The area of the garden is 73.12 ft2. What is the length of the other dimension rectangular portion of the garden?
Use 3.14 as an approximation for pi.
The length of the other dimension rectangular portion of the garden is 12 feet.
What is area?Area is the amount of space occupied by a two dimensional shape or object.
The area of each semicircle = (1/4) * π * radius² = (1/4) * π * 4² = 12.56 ft²
Let x represent the other side of the rectangle, hence:
Area of garden = 2(12.56) + 4x = 4x + 25.12
Hence:
73.12 = 4x + 25.12
x = 12 feet
The length of the other dimension rectangular portion of the garden is 12 feet.
Find out more on area at: https://brainly.com/question/25292087
10. Membership to gym A is $40 per month
plus a $60 registration fee. Gym B charges
$55 per month and no registration fee.
After how many months will the
membership cost be the same?
efine the variable, write an equation, and solve
Question 2 of 5
Which choice describes the shape of the data?
83 84 85 86 87 88 89 90 91 92
A. Symmetric; not bell-shaped
ОО o
B. Not symmetric; not bell-shaped
C. Symmetric, bell-shaped
o
D. Not symmetric, bell-shaped
Find m<2
Round your answer to the tenth.
Will give brainliest to correct answer
Question 1 Which statement about convergent infinite geometric series is true? O The graph of a convergent infinite geometric series goes to infinity. O A finite geometric sequence will have an infinite geometric series. O An infinite geometric series converges if -1 < r 1 is true. The graph of an infinite geometric series curves away from its sum. Question 2
Answer:
Third option: An infinite geometric series converges if −1<r<1 is true.
Step-by-step explanation:
An infinite geometric series contains an infinite number of terms. A convergent infinite geometric series can go to infinity on a graph. An infinite geometric series can converge if the ratio "r" is true in the equation " –1 < r < 1".
the annual income of Sam is $37,368 . what is his monthly income if he earns an equal amount every month
Answer:
[tex]\huge\boxed{\sf \$ 3,114}[/tex]
Step-by-step explanation:
Annual Income of Sam = $37,368
To find the monthly income (given that he earns an equal amount of money every month), we can divide the annual income by 12. (Each year has 12 months)
Monthly Income:
= $37,368 / 12
= $3,114
[tex]\rule[225]{225}{2}[/tex]
Help:
8. Multiply the following:
a. (x^3)(x^2) =
b.(x^7)(x^10) =
c. (3s^4)(-6s^5) =
d. (-20x)(3x) =
Answer:
below
Step-by-step explanation:
the law of indices:
a) x⁵
b) x¹⁷
c) -18s⁹
d) -60x²
The area of a rectangular picture frame is 93.5 square inches. The area formula for a rectangle is A = ℓw. Use the given numbers to write and solve an equation to find the width, w, of the picture frame.
Answer: w=8.5
Step-by-step explanation:
Just did it.
helppppppppp meee too simplify this
Answer:
30,976
Step-by-step explanation:
=}.
[tex](11 {}^{3} \times 4 { }^{2} \binom{}{11 {}^{2} } ) {}^{2} [/tex]
=}.
[tex](11 \times 4 {}^{2} ) {}^{2} [/tex]
=}.
[tex]121 \times (4 {}^{2} ) {}^{2} [/tex]
=}.
[tex]121 \times 256[/tex]
=}. 30,976
Answer:
Answer given above
Step-by-step explanation:
11^2 * 4^4
Right equation of the line that is perpendicular to the line Y equals negative 3X +8 and passes through the point -2, 3. Right equation in point slope form
=======================================================
Perpendicular lines have slopes that are opposite reciprocals.
This means we take a number, flop it over, and change its sign.
In this case, we take [tex]\boxed{-3}[/tex], change its sign:
[tex]\boxed{3}[/tex]
3 can also be written as
[tex]\boxed{\frac{3}{1} }[/tex]
Now the numerator & denominator switch places:
[tex]\boxed{\frac{1}{3}}[/tex]
So that's the slope of the new line.
Now, let's write the equation in point-slope form:-
[tex]\bigstar{\underline{\boxed{\pmb{y-y_1=m(x-1)}}}[/tex]
Where
y₁ is the y-coordinate of the point (in this case, y₁ = 3)
m = slope (1/3)
x₁= the x-coordinate of the point (in this case, it's -2)
Plug in the values:-
[tex]\bigstar{\boxed{\pmb{y-3=\frac{1}{3}(x-(-2)}}[/tex]
[tex]\bigstar{\boxed{\pmb{y-3=\frac{1}{3}(x+2)} }\longleftarrow\sf{Point-Slope~Formula:)}}[/tex]
===============================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
What is the volume of this figure?
2520 in³
1638 in³
1323 in³
935 in³
A right rectangular prism with a right triangular prism. The rectangular prism has a length of 14 inches, a width of 9 inches, and a height of 8 inches. The triangular prism shares a face with the rectangular prism. The triangular prism base has a length of 14 inches and a height of 5 inches. The height of the triangular prism is 9 inches.
Answer:
the answer is 1323. i took the quiz on k12 and this was the answer
Step-by-step explanation:
hi
1323
bye (disco lovely_jinni #2028
Which of the following is not an exponential function?
Answer:
B. y = 5x-1
Step-by-step explanation:
B. y = 5x-1 is not an exponential function.
What time would it be if the minute hand rotated by 180 degrees from the current time?
2:30
4:00
3:30
2:15
Answer:
3:30 is the answer
which equation represents a line which is parallel to the line y=3/8x+7
Answer:
8x+3y=-6
Step-by-step explanation:
convert 4 hours into minutes
helpp ASAP
Answer: 240 minutes
Step-by-step
60 times 4 hour = 240 minutes
Help!! This is i-ready!!! Will get brainiest!!!
Answer:
C is the answer
Step-by-step explanation:
people who usually volunteers really don't get represented
A board is 8 feet 10 inches long. How long is it in inches?
Answer:
106
Step-by-step explanation:
a foot is 12 inches so 8x12 would be 96 and if you add the other 10 inches that would be 106