Answer:
b) 5/9Step-by-step explanation:
The unit rate is same as the slope:
m = 0.45 = 45/100 = 9/20Compare with the answer choices:
a) 45/100, Same or equivalentb) 5/9, Differentc) 9/20, Same or equivalentd) 27/60 = 9/20, Same or equivalentwhich is equivalent to 2 5/6?
A. 5/3
B. 12/5
C. 7/6
D. 17/6
(IF YOU ARE ABLE TO, PLEASE PROVIDE AN EXPLANATION FOR THE ANSWER)
According to a 2014 Pew Research poll, 58% of Americans believe in Hell. Suppose a random sample of 100 Americans is obtained and the number of Americans who believe in Hell is recorded. Can this binomial experiment be approximated using a normal distribution? Be sure to demonstrate your conclusion numerically.
Testing the conditions, we get that [tex]np = 58 \geq 10[/tex] and [tex]n(1 - p) = 42 \geq 10[/tex], thus, this binomial experiment can be approximated using a normal distribution.
For each person sampled, there are only two possible outcomes. Either they believe in Hell, or they do not. The probability of a person believing in hell is independent of any other person, which means that the binomial distribution is used to solve this question.
Binomial distribution:
Probability of x successes on n trials, with p probability.
If [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex], it can be approximated to the normal distribution.
In this problem:
Sample of size 100, thus [tex]n = 100[/tex].58% believe in Hell, thus [tex]p = 0.58[/tex].Then
[tex]np = 100(0.58) = 58 \geq 10[/tex]
[tex]n(1 - p) = 100(0.42) = 42 \geq 10[/tex]
[tex]np = 58 \geq 10[/tex] and [tex]n(1 - p) = 42 \geq 10[/tex], thus, this binomial experiment can be approximated using a normal distribution.
A similar problem is given at https://brainly.com/question/24261244
please help !!! thank you :)
Answer:
12
Step-by-step explanation:
2 ( - 2x + 6 )
= 2 ( - 2x ) + 2 ( 6 )
= - 4x + 12
A person flying a kite has released 176 m of string . the string makes an angle of 27 degrees with the ground . how high is the kite? how far away is the kite horizontally? answer to the nearest meter
Answer:
80 m High and 157 m away
Step-by-step explanation:
Cos(27)=x/176
x= 156.8 m
Sin(27) = y/176
y = 80
By which rule are these triangles congruent?
Answer:
S, S, S
Step-by-step explanation:
Help with question 13 only please.
I think it is B
It makes the most sense to me to do that
Show that (1 + 2V3)2 = 13 +4V3
Q1) Gary has 40 oranges. Gary gives Maya 1/4 of his oranges. Gary also loses 2/5 of the rest of them. How many does Gary have left?
Answer: 3
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Triangle ABC is defined by the points A(3,8), B(7,5), and C(2,3).
Create an equation for a line passing through point A and perpendicular to BC.
y=
X +
Reset
Next
Answer:
y = - [tex]\frac{5}{2}[/tex] x + [tex]\frac{31}{2}[/tex]
Step-by-step explanation:
Calculate the slope m of BC using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = B (7, 5 ) and (x₂, y₂ ) = C (2, 3 )
[tex]m_{BC}[/tex] = [tex]\frac{3-5}{2-7}[/tex] = [tex]\frac{-2}{-5}[/tex] = [tex]\frac{2}{5}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{5} }[/tex] = - [tex]\frac{5}{2}[/tex] , then
y = - [tex]\frac{5}{2}[/tex] x + c ← is the partial equation
To find c substitute A (3, 8 ) into the partial equation
8 = - [tex]\frac{15}{2}[/tex] + c ⇒ c = 8 + [tex]\frac{15}{2}[/tex] = [tex]\frac{16}{2}[/tex] +[tex]\frac{15}{2}[/tex] = [tex]\frac{31}{2}[/tex]
y = - [tex]\frac{5}{2}[/tex] x + [tex]\frac{31}{2}[/tex] ← equation of perpendicular line
The equation for a line passing through point A and perpendicular to BC is 2y = -5x +31 or y = -2.5x +15.5.
What is the equation of a Straight Line ?The equation of the straight line is represented by
y = mx+c
where m is the slope , and c is the intercept on y axis.
The equation of the line BC for points B(7,5), and C(2,3) is
y- y' = m(x-x')
m = 2/5
and c =
y-5 = (2/5)x - (14/5)
y = (2/5)x+(11/5)
The slope of the line perpendicular rot this line is given by
as the product of two perpendicular lines should be -1
m = -5/2
y = (-5/2)x +c
8 = (-15/2) + c
8 +(15/2) = 0
31/2 = c
Therefore the equation for a line passing through point A and perpendicular to BC is
2y = -5x +31
To know more about equation of a Straight Line
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Click on the greatest amount of rainfall.
Answer:
Click on the 2
Step-by-step explanation:
Two trains leave stations 420 miles apart at the same time and travel toward each other. One train travels at 65 miles per hour while the other travels at 85
miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.
Answer:
2hr 48 minutes
Step-by-step explanation:
65t + 85t = 420
150t = 420
t = 2 120/150 = 2 4/5 = 2hr 48 minutes
Time taken by two trains to cover 420 miles is 2hr 48 minutes.
Given, that two trains are travelling towards each other.
Relation between speed, time and distance:
Distance = Speed × Time
When the two trains are travelling towards each other the speeds of two trains are added.
When the two trains are moving in same direction then the relative speed is difference of the two.
So, here the trains are moving towards each other.
65t + 85t = 420
150t = 420
t = 420/150
t = 42/15
t = 2hr 48 minutes
Therefore total time required by two trains to meet is 2hr 48 minutes.
Know more about speed, time and distance,
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Find the slope of the line passing through the pair of points. (If an answer does not exist, enter DNE.)
(10, 0), (0, −6)
Answer:
0.6
Step-by-step explanation:
Lets plug these points in:
[tex]\frac{((-6)-0)}{(0-10)} =\frac{-6}{-10} =0.6[/tex]
find the value of each of the following a) 6+14÷7_2×3
Answer:
48
Step-by-step explanation:
6 + 14 ÷ 7
= 8
= 8 _ 2× 3
= 8_ 6
=8×6
=48
Use the functions f(x) and g(x). to evaluate below.
Given the graph and the table of functions, f(x) and g(x), the following evaluated:
a. f(0) = 9
b. g(2) = -3
c. f(-1) = 5
Given the functions, f(x) and g(x), the following can be evaluated:
a. Find f(0):
Using the table given, what we need to determine is the of the output, f(0) that an input value, x = 0, will give.
From the table, we see that when x = 0, f(x) =9.Therefore,
f(0) = 9
b. Find g(2):
From the graph, find the corresponding value of g(x) that corresponds with x = 2.
From the graph, when x = 0, g(x) = -3Therefore,
g(2) = -3
c. Find f(-1):
From the table, find the corresponding value of f(x) that corresponds with x = -1.
From the table, when x = -1, f(x) = 5Therefore,
f(-1) = 5
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Mike is baking lemon cupcakes and banana cupcakes for his Math class. He conducted a survey to
find the number of students who prefer each type. A total of 10 students preferred lemon cupcakes
and that represents 30% of her class. How many students preferred banana cupcakes?
Answer:23
Step-by-step explanation:10 people make up 30 percent so we have 33 people . 33 - 10 = 23
The cost c, for manufacturing x flags is given by c=x? -24x +39. Find the number of flags manufactured if the cost is $120.
The number of flags are 0
(Simplify your answer.)
9514 1404 393
Answer:
27
Step-by-step explanation:
You want to find x when c = 120.
120 = x^2 -24x +39
x^2 -24x -81 = 0 . . . . . . subtract 120 to put in standard form
(x -27)(x +3) = 0 . . . . . .factor it
Solutions are ...
x = 27, x = -3 . . . . . values of x that make the factors zero
The number of flags manufactured for a cost of $120 is 27 flags.
please just work out the last one. thank you if u can do all
I made an f in math last year
Answer:
a) 1.8
b) 11.8
c) 23.6
Step-by-step explanation:
1) 2.4+1.6+3.2+0.3+1.5=9
you divide 9 by 5 because that is the number of elements in the data.
9/5=1.8
2) the total would be 50 more because 5*10=50.
50+9=59
59/5=11.8
3) i think this question is referencing the previous question.
59*2=118
118/5=23.6
Find the slope between these two points:
(4,7).(-6, -4)
Answer:
1.1
Step-by-step explanation:
slope = (-4-7)/(-6-4)= -11/-10 = 1.1
Consider the functions p(x) = 5x3 + 6x2 + 4x and qx) = 5640.
-
1. Use graphing technology to find a value of that makes p(x) = q() true.
Heyyyyyy help meeeeeeee
Answer:
1.25 or 1 1/4
Step-by-step explanation:
1 ounce is 0.0625 pounds
therefore 20 oz = 1.25 or 1 1/4
Có 2 chuông gà: chuồng 1 có 5 trống 10 mái ,chuồng 2 có 6 trống 14 mái. Có 1 con ở chuồng 2 nhảy sang chuồng 1 . từ chuồng 1 bắt ngẫu nhiên ra 2 con. Tính xác suất bắt được
a . 2 con trống
3/4 x 5/8 in simplest form
Hi, this is multiplication with decimals, help!
Answer:
Sean paid 0.25 more cents than Cal.
Step-by-step explanation:
Cal's problem: 2.4 * 2.55 = 6.12
Sean's problem: 2.6 * 2.45 = 6.37
Answer:
I think 0.25
Step-by-step explanation:
Multipled 2.4 and 2.55 then multipled 2.6 and 2.45. I got 6.12 and 6.37 Then subtracted them and got 0.25
solve. −3.1=−3.5x−4.6
Answer:
x = 0.428571 repeating
Step-by-step explanation:
Answer:
-0.428571 repeating
Step-by-step explanation:
add 4.6 both sides
1.5 = -3.5x
divide -3.5 both sides
-0.428571 repeating
How do I solve 0.0055 m a cm ?
Answer:
863.83
Step-by-step explanation:
es por qué es un número multimedios y los los número se asen pares
dl
hey can u please help i will give brainliy if u get it right :)
9514 1404 393
Answer:
400 minutes
Step-by-step explanation:
The cost of the first plan is ...
A = 14 + 0.15m . . . . . . . . where m is the number of minutes used
The cost of the second plan is ...
B = 30 + 0.11m
The costs will be equal when ...
14 +0.15m = 30 +0.11m
0.04m = 16 . . . . . . . . . . . . . subtract 14+0.11m from both sides
m = 400 . . . . . . . . . . . . . . . divide by 0.04
The plans will have the same cost for 400 minutes of calls.
HELP!! Will give brainliest
Answer:
my brother said it was
Step-by-step explanation:
1400.053...
( p + 6 ) + ( 8p + 2 )
Answer:
9p+8
Step-by-step explanation:
p+8p= 9p
6+2= 8
9p+8
Answer:
Step-by-step explanation:
(p+6) + (8p+2)
(p+8p) + (6+2)
9p + 8
The functions f and g are defined as follows.
f(x)=-3x-1
3
g(x)=2x? +2
Find f (2) and g(-2).
Simplify your answers as much as possible.
__________
[tex] \: [/tex]
f(x) = -3x - 1
g(x) = 2x + 2
Soo :
f(2) :f(2) = -3(2) - 1
f(2) = -6 - 1
f(2) = -7✔
.
g(-2) ;g(-2) = 2(-2) + 2
g(-2) = -4 + 2
g(-2) = -2✔
Someone please please help!
Answer:
C.
Step-by-step explanation:
After the given, you need another pair of congruent angles to prove the triangles congruent by AAS. Those angles you need are vertical angles, so they are congruent.
Answer: C.