This question is incomplete, the complete question is;
Assume the random variable x is normally distributed with mean p = 80 and standard deviation σ = 4.
Find the indicated probability. P(67 < x < 72)
(Round to four decimal places as needed.)
Answer:
the indicated is 0.0222
Step-by-step explanation:
Given the data in the question;
mean μ = 80
standard deviation σ = 4
p ⇒ P ( x -μ / σ )
so
P(67 < x < 72) ⇒ P( 67-80 / 4 ) < P( x -μ / σ ) < P( 72-80 / 4 )
P(67 < x < 72) ⇒ P( -13 / 4 ) < P( x -μ / σ ) < P( -8 / 4 )
P(67 < x < 72) ⇒ P( -13 / 4 < z < -8 / 4 )
P(67 < x < 72) ⇒ P( -3.25 < z < -2 )
⇒ P( z < -2 ) - P( z < -3.25)
Now from z table;
⇒ 0.02275 - 0.00058
P(67 < x < 72) ⇒ 0.02217 ≈ 0.0222 { four decimal places }
Therefore, the indicated is 0.0222
Put the following equation in slope-intercept form: y−5=7/4(x-1)
Answer:
y=7/4x+2
Step-by-step explanation:
The linear equation in the slope-intercept form will be y = (7/4)x + 13/4.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
y − 5 = 7/4(x − 1)
Convert the equation into a slope-intercept form. Then we have
y − 5 = 7/4(x − 1)
y − 5 = (7/4)x − (7/4)
y = (7/4)x − (7/4) + 5
y = (7/4)x + 13/4
The linear equation in the slope-intercept form will be y = (7/4)x + 13/4.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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8th term of the sequence:
-5, -11, -17, -23…
with step by step explanation.
A boat costs $11,000 and decreases in value by 7% per year. How much will the boat be worth after 6 years?
a. $16,508.03
b. $10,958.00
c. $7,116.89
d. $6,618.71
Answer:
Step-by-step explanation:
Answer this simple quick question!! Pls :)
Answer:
Zero, Never
Step-by-step explanation:
2 doesn’t equal 3 so it will never be true.
PLEASE HELP THIS IS VERY IMPORTANT I WILL GIVE U BRAIN THING IF ITS CORRECT NO LINKS. PLEASE
Answer:
1. 21 +35
2.5
Step-by-step explanation:
Answer:
1.) 21 + 35
2.) 5
Step by step explanation:
Help pls might give brainlist also show work if needed!
Answer:
The mean is 21.
The median is 21
There is no mode here.
Step-by-step explanation:
H
45
G
8
F
3
Ε
Find
cos FHE.
Answer:
no sé pero lo nesesito porfavor
Answer:
Its B. 4/5
Step-by-step explanation:
on edge 2020 :)
392 x 22 but in a reciprocal answer I only have 10 minutes!!
your answer is 0.00011596
Area of rectangle and trangle
More comeing soo!!
Answer: Triangle 1 = 30 m2
Triangle 2 = 15 cm2
Step-by-step explanation:
Triangle area formula = 1/2 x base x height
Area1 = 1/2 x 10 x 6
= 30
Area2 = 1/2 x 6 x 5
= 15
Answer:
The area of the triangle is 15 cm and rectangle is 30 or 60
Step-by-step explanation:
HELP ME PLEASEEEEEEEEEE
Answer:
The coordinates of point P is (5,11)
Answer:
The coordinates of point P is (5,11)
Step-by-step explanation:
Which number is equivalent to 43 over 12
Answer:
7/8
Step-by-step explanation:
3.5833 is the answer to this question.
The probability that a baseball player gets a hit is 40%. What is the probability the baseball player gets exactly 4 hits out of 5 at bats?
The probability of the player getting a hit is 0.214.
Step-by-step explanation:
Since we have given that Probability that a baseball player gets a hit if the weather is good 20d=40\%=0.4 Probability that a baseball player gets a hit if the weather is not t good=20\%=0.2 Probability of good weather =7\%=0.07 Probability of not 93\%=0.93 good weather =100-7= According to question, the probability of the player getting hit is given by 0.4 * 0.07 + 0.2 * 0.93; =0.214
The identity (x2 + y2) = (x2 - y2) + (2xy)? can be used to generate Pythagorean triples. What
Pythagorean triple could be generated using x=8 and y=3
Answer: 5329, 3025, 2304
Step-by-step explanation:
I just did the test
Pythagorean triple generated is 5329
What is Pythagorean triple?
A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c². Such a triple is commonly written, and a well-known example is. If is a Pythagorean triple, then so is for any positive integer k. A primitive Pythagorean triple is one in which a, b and c are coprime
We have,
([tex]x^{2}[/tex]+[tex]y^{2}[/tex] )=( [tex]x^{2}[/tex]-[tex]y^{2}[/tex]) + [tex]2xy[/tex]
Using Points,
x =8, y=3
According to the questions
Taking square in both sides
[tex](x^{2} + y^{2}) ^{2}[/tex] = [tex](x^{2} - y^{2} ) ^{2}[/tex] + [tex](2xy)^{2}[/tex]
when, x = 8, and y = 3
[tex](8^{2} + 3^{2} )^{2}[/tex] = [tex](8^{2} - 3^{2}) ^{2}[/tex] + [tex](2.8.3)^{2}[/tex]
= 3025 + 2304
= 5329
Hence ,Pythagorean triple is 5329
To learn more about Pythagorean triple from here
https://brainly.in/question/21789673
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Find the surface area of the cone. Round answer to the nearest tenth.*
Answer:
628.319 rounded= 628.3
Step-by-step
A rectangular prism with a length of 5 centimeters, width of 4 centimeters, and height of 3 centimeters.
What is the volume of the prism?
20 cm3
36 cm3
47 cm3
60 cm3
Answer:
60 cm3 is the volume of the prism
Step-by-step explanation:
Because the formula for volume is length * width * height!
please mark the brainliest!
Answer:
60
Step-by-step explanation:
Find the dimensions of a box with a square base with surface area 5656 and the maximal volume. (Use symbolic notation and fractions where needed.)
Answer:
28.51 cubic units
Step-by-step explanation:
From the given information;
The surface area is 56 and not 5656
Let assume that:
the length of the base = a &
the height of the box = h
∴
The volume of the box = a²h &
The surface area (A) = 2a² + 4ah
A = 2a² + 4ah
56 = 2a² + 4ah
56 - 2a² = 4ah
[tex]h = \dfrac{56-2a^2}{4a}[/tex]
The volume (V) = a²h
[tex]V = a^ 2( \dfrac{56-2a^2}{4a}) \\ \\ V = \dfrac{56a -2a^3}{4} \\ \\ V = \dfrac{2a(28- a^2)}{4} \\ \\ V = \dfrac{(28-a^2)a}{2}[/tex]
Taking the maximum of this function by assuming v = [0, [tex]\sqrt{8}[/tex]]
[tex]V = \dfrac{a(28-a^2)}{2}[/tex]
[tex]V(0) = \dfrac{0(28-0^2)}{2}=0[/tex]
[tex]V(\sqrt{8}) = \dfrac{\sqrt{8}(28-(\sqrt{8})^2)}{2} \\ \\ \implies \sqrt{8} \dfrac{(28-8)} {2} \\ \\ = 10 \sqrt{8}[/tex]
For the critical point V' = 0
[tex]V = \dfrac{a(28-a^2)}{2} \\ \\ V = \dfrac{28a}{2}- \dfrac{a^3}{a} \\ \\ V = 14 a - \dfrac{a^3}{2} \\ \\ V' = 14 - \dfrac{3a^2}{2} \\ \\ 0 = 14 - \dfrac{3a^2}{2} \\ \\ 14 =\dfrac{3a^2}{2}\\ \\ a^2 = 14 \times \dfrac{2}{3} \\ \\ a^2 = \dfrac{28}{3} \\ \\ a = \sqrt{\dfrac{28}{3}} \\ \\ a = \sqrt{9.333} \\ \\ a = 3.055[/tex]
Thus, side of the base (a) = 3.055 units
Recall that:
height [tex]h = \dfrac{56-2a^2}{4a}[/tex]
[tex]h = \dfrac{56-2(3.055)^2}{4(3.055)}[/tex]
h = 3.0551 units
The maximum volume now = a²h
= (3.055)²(3.0551)
= (9.333)(3.0551)
= 28.51 cubic units
Answer:
x ( side of the square base) = 43,42 ul
h = ( the height f the box ) = 0,17 ul
Step-by-step explanation:
V = Ab * h where Ab is an area of the base and h is the height of the box
as is this case s a square base box then Ab = x² ( s the side of the square.
The surface area is ( box without lid): area of the base x² plus 4 lateral areas each one equal to x*h
So x² + 4 x*h = 5656 u²
Then 4*x*h = 5656 - x²
h = 5656 - x² )/ 4*x
V(x) = x² ( 5656 - x² )/ 4*x
V(x) = x ( 5656 - x² ) / 4
Tacking derivatives on both sides of the equation :
V´(x) = (1/4 ) * [ (5656 - x² ) - x *2*x]
V´(x) = (1/4 ) * ( 5656 - 3*x² )
v¨(x) = 0 (1/4 ) * ( 5656 - 3*x² ) = 0 3*x² = 5656
x² = 1885,33
x = √ 1885,33
x = 43,42 ul
And h = 5656 - x² )/ 4*x
h = [( 5656 - (43,42)²] /4 * 5656
h = 3770,70 / 22624
h = 0,17 ul
End Time: 5/28/2021 11:59 PM
Chapter 4 Exam: Dimensional Analysis
question 9 of 10
9.)
A clothing store sells an average of 6 pairs of jeans at $55 per pair, for every hour it is open. If the store is open 6 days per week for 9 hours
each day, how much money does the store make in 2 weeks? Round to the nearest dollar.
Answer:
$35,640
Step-by-step explanation:
$55×6p×12d×9h=$35,640
What is the area of the trapezoid?
Answer:
36 cm
Step-by-step explanation:
Convert radians to degrees.
-i !!!
Answer:
1 radian = 57.2958 degrees i dont know if thats
what you wanted to know?
Select the relationship below between ∠a and ∠b? Worth 3 points. A.Vertical angles B.Complementary angles C.Supplementary angles
Answer:
b
Step-by-step explanation:
10 poir 2. Describe the cross section that will result if the pyramid is sliced vertically through the top vertex (perpendicular to the base).
Answer:
5
Step-by-step explanation:
it just is
The graph of - 8x+2y = 8 passes through two points, P(p, 2) and
Q (-4, q). What is the value of pq?
Answer:
6
Step-by-step explanation:
All the steps are in the photo I attached
What is the volume of an 8-inch by 4-inch by 44-inch rectangular box?
Answer:
1408
Step-by-step explanation:
Answer:
1,408 cm³.
Step-by-step explanation:
To find the volume of a rectangular prism, or in this case, a rectangular box, multiply the length, width, and height.
[tex]4*8*44=1,408 in^3.[/tex]
Therefore, the volume of the rectangular box is 1,408 cm³.
Jenny wants to purchase a shirt that normally sells for $25. If Jenny has a coupon for 20% off her purchase, what price
will Jenny have to pay for the shirt?
Jenny will have to pay $
for the shirt.
Help me
Answer: 5
Step-by-step explanation:
To find 20% of something, we can just multiply it by 0.2
25 × 0.2 = 5
Have a good day :)
PLEASE HELP THIS IS VERYYYY IMPORTANT PLEASE I WILL GIVE U BRAIN THING IF ITS CORRECT AND NOOO LINKS PLEASEEEEEEEE <3
Answer:
3 and 10
Explanation:
5 * 3 is 15 and 5 + 10 is 15.
Which of the following represents the domain of the graph?
Answer:
Choice D.
Step-by-step explanation:
In interval notation the domain is (-∞, -2) U (-2, 1) U (1, ∞)
Find the measure of the exterior <1.
Answer:
1= 145°
Step-by-step explanation:
80° + 65°= 145
180 - 145 = 35
180- 35 = 145
Answer:
The answer is 145°
The radius of a circle is 6.1 millimeters. What is the circle's area?
[tex]area = \pi \times {r}^{2} \\ area = 3.142 \times {6.1}^{2} \\ area = 3.142 \times 37.21 \\ area = 116.91 {mm}^{2} [/tex]
Will mark brainlyiest
Answer:
8.3 units
Step-by-step explanation:
Refer to the notations above, we can use Pythagoras Theorem to find the hypotenuse of the red triangle on the base of the prism.
The hypotenuse of the red triangle
[tex] = \sqrt{ {7}^{2} + {4}^{2} } [/tex]
[tex] = \sqrt{65} [/tex]
The hypotenuse of the red triangle is the common side of the yellow triangle's base.
d is equal to the hypotenuse of the yellow triangle.
The length of d
[tex] = \sqrt{ { \sqrt{65} }^{2} + {2}^{2} } [/tex]
[tex] = \sqrt{65 + 4} [/tex]
[tex] = \sqrt{69} [/tex]
[tex] = 8.30662...[/tex]
= 8.3 units
Answer:
8.3 units
Step-by-step explanation:
SOLVE
ROUND TO THE NEAREST CENT IF NECESSARY
A UNIÓN CONTRACT CALLS FOR 6.9% SALARY INCREASE
FOR ALL EMPLOYEES
DETERMINE THE INCREASE
FOR A WORKER WHO IS CURRENTLY MAKING $32,120
WILL GIVE
BRAINLIST
X
X
X
X