Answer:
25 / 61
Step-by-step explanation:
Given:
(8-3)² / [5 + 2³ × 7]
Computation:
(8-3)² / [5 + 2³ × 7]
(5)² / [5 + 8 × 7]
25 / [5 + 56]
25 / 61
A researcher is trying to show evidence for extra-sensory perception (ESP). She performs a test in which the subject is asked 10 yes or no question whose answer depends on information which the subject has not observed. Suppose that for each test, in the absence of ESP, the subject gets each question correct with 50% probability a) In the absence of ESP, what is the probability that a given test subject will answer at least 8 out of 10 questions correctly
Answer:
The answer is "0.0547".
Step-by-step explanation:
[tex]P(Correct) = 0.50\\\\n = 10\\\\x = 8[/tex]
Using the binomial distribution:
[tex]\to P(x,n) = n_{C}_x \times p^x \times (1-p)^{(n-1)}\\\\\to P(x \geq 8) = 1 - P( \leq 7)[/tex]
Calculating the excel formula:
[tex]=BINOM.DIST(7,10,0.50,TRUE)[/tex]
[tex]\to P(x \geq 8) = 1 - 0.9453\\\\ \to P(x \geq 8) = 0.0547[/tex]
Name
Use the given information to answer Problems 7-11.
Leon and Jacey work for a florist. They each program a drone
to deliver boxes of flowers to neighbors. With Leon's program,
he must manually attach the box to the drone. With Jacey's
the drone can pick up one box at a time from a pile.
program,
ram
Please help!!
Answer:
#7: 30 seconds On The Graph The Drone Has Not Moved and The Time Is At 30 Seconds :)
#8 : 20 Seconds On The Graph All The times go Up by 20 So that is the only Possible answer
#9: Leon Drone Is Faster Look At The Graph 60 Seconds = 10 Feet And Jacey's Graph its 80 Seconds For 10 Feet And I could Go On
#10 The Time In Seconds
#11 With slow speed you can guarantee it will not be broken or damaged
I Hope This Helps :) Please Give Brainiest If It Makes Sense To You !
Thanks :)
Find f'(x) for the given function.
f(x) = 5/3-x
Answer:
The derivative is:
[tex]f^{\prime}(x) = -\frac{5}{x^2-6x+9}[/tex]
Step-by-step explanation:
We are given the following function:
[tex]f(x) = \frac{5}{3-x}[/tex]
Derivative of a quotient:
Suppose we have a quotient:
[tex]f(x) = \frac{g(x)}{h(x)}[/tex]
The derivative is:
[tex]f^{\prime}(x) = \frac{g^{\prime}(x)h(x) - h^{\prime}(x)g(x)}{h(x)^2}[/tex]
In this question:
Numerator [tex]g(x) = 5, g^{\prime}(x) = 0[/tex]
Denominator [tex]h(x) = 3 - x, h^{\prime}(x) = -1[/tex]
So
[tex]f^{\prime}(x) = \frac{0(3-x) - 5}{(3 - x)^2} = -\frac{5}{x^2-6x+9}[/tex]
The derivative is:
[tex]f^{\prime}(x) = -\frac{5}{x^2-6x+9}[/tex]
Pls help, i will give brainliest:
Consider the graphs which summarize the data on the number of hours per week of television viewing by two groups: 12-17 year-old Girls and 12-17 year-old Boys. Choose all that are correct.
The median for the girls is 16.
The median for the boys is 22.
The interquartile range for the girls is 28
The interquartile range for the boys is 16
The difference between the medians as a multiple of the IQR is 1/4
Answer:
a,b,e
Step-by-step explanation:
Answer:
B, D, E
OR
The median for the boys is 22
The interquartile range for the boys is 16
The difference between the medians as a multiple of the IQR is 1/4
Step-by-step explanation:
I just did it and got it right
giving brainliest ! *easy*
Answer:
19π/15
Step-by-step explanation:
Answer:
θ + 19π / 15 this is my answer
1) How many ink cartridges can you buy with 77 dollars if one cartridge costs 11 dollars ?
PLEASEEE HELPPP members of a middle school Business Club want to raise money to attend a conference for young entrepreneurs so far the club has raised $450. members suggest a few new ideas. Jenna suggest that the club hold a carwash the Club will need to spend $30 on cleaning supplies before making a profit jenna presents her plan to the club using the table below make a graph of the data to show the relation
*please provide a graph
Part B: is the relation a function if so write an equation for the function
Answer:
Number of cars 16 profit-30
If the opposite of g(x) is –g(x),
then –g(x) =
Answer:
g(x) not negitive
Step-by-step explanation:
Suppose f is a linear function such that f(4)= 8 and f(9)= 1. Find the equation for f.
If you need to construct a dog run for your dog and the total perimeter needs to be 40 feet, and you only have enough room to make it 5 feet wide, how long can you make the dog run?
PLZZZZ ASAPPPP
Answer:
15 feet
Step-by-step explanation:
if the dog run is a rectangles then the formula for the perimeter is 2h+2l
if we plug in the numbers we know we get this:
2h+2(5)=40
2h+10=40
2h=30
h=15
Find the measure of 46.
t
56°/1249
46
te
s6 = [?]
Answer:
56°
Step-by-step explanation:
1st reason= alternate angles.
2nd reason= 124 and angle 6 is co-interior angles which means that little are shoudk adds up to 180.
180-124=56
What is the constant of proportionality?
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same ratetion:
Which expression is equivalent to 1 2 ( 4 x + 8 ) ?
Answer:
48x + 96
Step-by-step explanation:
Given expression: 12(4x + 8)
Using the Distributive Property, we can simplify the given expression.
Distributive Property: [tex]a(b + c) = ab + ac[/tex]
Simplify:
[tex]\implies 12(4x+8)\\\\\implies 12(4x) + 12(8)\\\\\implies 48x + 96[/tex]
The expression that is equivalent to 12(4x + 8) is [tex]48x + 96[/tex].
AN(B\C)=(ANB)\C
how to prove if True or False?
Answer:
AN*(B\C)=(ANB)\C=>ANB/C=ANB/C
Answer:
It's true but I don't know if my proof is technical enough for you.
Step-by-step explanation:
Multiplication and division of numbers can happen in any order.
Mark has, in his kitchen, the ingredients needed to prepare 78 different recipes with two ingredients
each. Of those 78 different recipes, there are no two recipes that share the exact same two ingredients.
How many ingredients does he have?
Answer:
13 ingredients
Step-by-step explanation:
The number of different recipes that can be made from 2 ingredients = 78
Since there are no two recipes that share the exact same two ingredients ;
The number of recipes in Mark's kitchen is:
nCk = 78
k = Number of ingredients per recipe = 2
n = total number of ingredients in kitchen
Total recipes made = 78
n! / (n-r)!r! = 78
n! / (n - 2)!2! = 78
n(n-1)(n-2)! / (n-2)! * 2 * 1 = 78
n(n - 1) / 2 = 78
n(n-1) = 156
n² - n = 156
n² - n - 156 = 0
Factorize :
n² - 13n + 12n - 156 = 0
n(n - 13) +12(n-13) = 0
(n-13) = 0 ; (n+12) = 0
n = 13 or n = - 12
n cannot be negative
Hence, n = 13
Number of ingredients is 13
Dario buys applesauce cups for a family reunion. He needs
23 cups, and he buys them in packs of 6. How many packs does
Dario need?
Answer:
4
Step-by-step explanation:
he will have extra but its better then having nothing , and only extra by 1
Answer: 4 packs
Step-by-step explanation: Dario need to buy 4 packs and get
4 ·6=24 cups
True or false the absolute value of -7 is greater than the absolute value of -3
ture or false?
Answer:
False
Step-by-step explanation:
Since its a bigger number in the negative, it means it further from zero which makes it false
Find the area of the trapezoid.
Recall : (b + b) h
Answer:
36 Sq cm
Step-by-step explanation:
Area of the trapezoid
[tex] = \frac{1}{2} \{8 + (4 + 8 + 4) \} 3\\ \\ = \frac{1}{2} \{8 + 16 \} 3\\ \\ = \frac{1}{2} \times 24 \times 3\\ \\ = 12 \times 3 \\ \\ = 36 \: {cm}^{2} [/tex]
10(2x - 4) + 5 = 2x - 8
Step-by-step explanation:
10(2−4)+5=2−8
10(2x-4)+5=2x-810(2x−4)+5=2x−8
Solve
1
Distribute
10(2−4)+5=2−8
20−40+5=2−8
2
Add the numbers
3
Add
35
3535
to both sides of the equation
4
Simplify
5
Subtract
2
2x2x
from both sides of the equation
A cube-shaped box can be wrapped completely in gift wrap that measures 384 square inches. What is the volume of the box?
Answer:
7529.536
Step-by-step explanation:
√384=19.6
19.6, is therefore the length of one side
Volume of cube is length³
19.6³=7529.536
Well it's just a try for me
The volume of the box when there is the cube shaped box wrapped and it should measured 384 square inches so it is 7529.536.
Calculation of the volume of the box;Since
A cube-shaped box can be wrapped completely in gift wrap that measures 384 square inches
So here the side should be like
[tex]= \sqrt{384}[/tex]
= 19.6
Now the volume of the box should be
= [tex]19.6^3[/tex]
= 7529.536
hence, The volume of the box should be considered as the 7529.536.
Learn more about volume here: https://brainly.com/question/13634444
If your Uncle Jack was on his roof, and he wanted you to help him down, would you help your Uncle Jack off?
CAN SOMEONE ANSWER THIS! Find the lateral surface area of the cylinder. Round your answer to the nearest hundredth. A) 315.04 in2 B) 370.62 in2 C) 395.84 in2 D) 408.92 in2
Answer:
C) 395.84 in^2
Step-by-step explanation:
I took the test
The diameter of the planet Mercury is 4.87×103 kilometers. The diameter of the planet Venus is 1.21×104kilometers. The diameter of the planet Earth is 1.28×104 kilometers. The diameter of Mars is 6.79×103 kilometers. Which planet has the smallest diameter?
Question 2 options:
Mars
Mercury
Venus
Earth
Answer: Venus
Step-by-step explanation:
Answer:
Mercury, then MarsStep-by-step explanation:
Given diameters of planets:
Mercury ⇒ 4.87 × 10³ km = 4 870 kmVenus ⇒ 1.21 × 10⁴ km = 12 100 kmEarth ⇒ 1.28 × 10⁴ km = 12 800 kmMars ⇒ 6.79 × 10³ km = 6 790 kmCompared, we see the smallest value belongs to Mercury
The second smallest planet is Mars
What is the y-intercept of this line? Acellus, 10 points for answer.
Answer:
y-intercept is ( 0 , 5 )
Step-by-step explanation:
Elena went to a sporting goods store that
was having a sale. She bought a tennis
racket and 3 cans of tennis balls. How much
will she pay for everything, including tax?
Are there any other numbers to this question? I will be glad to help.
Can I get some help on these two
9514 1404 393
Answer:
cone: 138.16 in²
pyramid: 352 m²
Step-by-step explanation:
Use the appropriate formula from your list of area and volume formulas.
Area of a Cone
A = πr(r +h) . . . . . where r is the radius and h is the slant height
The radius is half the diameter, so is 4 inches.
A = π(4 in)(4 in + 7 in) = 44π in² ≈ 138.16 in²
__
Lateral Area of a Square Pyramid
A = 2sh . . . . . where s is the side length of the base and h is the slant height
A = 2(8 m)(22 m) = 352 m²
Statistics Question. Use the Desmos graphing calculator to find the least-squares regression line for the dataset in the table:
Given:
The table of values.
To find:
The least-squares regression line for the data set in the table by using the desmos graphing calculator.
Solution:
The general form of least-squares regression line is:
[tex]\hat{y}=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept.
By using the desmos graphing calculator, we get
[tex]m\approx 2.55,b\approx -6.435[/tex]
Substitute these values in (i).
[tex]\hat{y}=(2.55)x+(-6.435)[/tex]
[tex]\hat{y}=2.55x-6.435[/tex]
Therefore, the correct option is A.
The graph of regression line is attached below.
The equation of regression line is [tex]y=2.55x-6.435[/tex]
Equation of regression line:A graphing calculator is a calculator device that has the ability to display plotted graphs for complex equations.
First we have to enter the given table in graphing calculator,
After entering the data given into table,
We get, m= 2.55 and b= -6.435
So that, the equation of regression line is [tex]y=2.55x-6.435[/tex]
Learn more about the regression line here;
https://brainly.com/question/26059078
Measure of the missing angle?
Answer:
x=31°
Step-by-step explanation:
2x-7+x+4 = 3x-3
90+3 = 3x
93 = 3x
x = 93/3
x = 31°
1. Simplify 3 + 5[5 + (7 - 3) - 32]
Answer:
48
step by step explanation:3+5(5+(7-3)-32)
8(12-2)-32
96-16-32
80-32
48
C G
Write a quadratic function f whose zeros are -9 and 2
I