Answer:
0.0635 ; 0.1093
Step-by-step explanation:
Given that :
Mean (m) = 181
Standard deviation (s) = 7.3
Height = x
a) The probability that the person is between 160 and 170 centimeters
160 < x < 170
P(x < 160) - P(x< 170)
Z = (170 - 181) / 7.3) ; (160 - 181) / 7.3
Z = - 1.51 ; Z = - 2.88
P(Z < - 1.51) - P(Z < - 2.88)
0.0655 - 0.0020 (from Z table ; first integer of the y axis, decimal point value on the horizontal x axis ; the value at the intersection is the z probability value).
0.0655 - 0.0020 = 0.0635
b) The probability that the person is higher than 190 centimeter
P(x > 190)
Zscore = (x - m) / s
Zscore = (190 - 181) / 7.3
Zscore = 1.23
P(Z > 1.23) = 1 - P(Z < 1.23)
P(Z > 1.23) = 1 - 0.8907
P(Z > 1.23) = 0.1093
Which Sentence about measuring angles is true?
A. An angle that turns through 10/360 of a circle has a measure of 36°
B. An angle that through 1/12 of a circle has a measure of 1°.
C. An Angle that turns through 10/360 Of a circle has a measure 10°
D. An angle that turns through 1/12 Of a circle has a measure of 12°
Pls help I have to stay up all night answering 200 Questions
The statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]10^{o}[/tex]" is true.
Angle
When two straight lines or rays intersect at a shared terminal, an angle is generated. The angle can be measured in degrees or radians.
How to find a true statement about measuring the angle from the given statements?Let us discuss all four options.
The measure of a whole circle is [tex]360^{o}[/tex]
(A) Here, [tex]\frac{10}{360}\times360=10^{o}[/tex]
That is, the statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]36^{o}[/tex]" is false.
(B) Here, [tex]\frac{1}{12}\times360=30^{o}[/tex]
That is, the statement "An angle that turns through [tex]\frac{1}{12}[/tex] of a circle has a measure of [tex]1^{o}[/tex]" is false.
(C) Here, [tex]\frac{10}{360}\times360=10^{o}[/tex]
That is, the statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]10^{o}[/tex]" is true.
(D) Here, [tex]\frac{1}{12}\times360=30^{o}[/tex]
That is, the statement "An angle that turns through [tex]\frac{1}{12}[/tex] of a circle has a measure of [tex]12^{o}[/tex]" is false.
Therefore, option (C) is correct.
Hence, the statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]10^{o}[/tex]" is true.
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The number of accidents that occur
each day at a certain intersection along
with the corresponding probabilities are
shown.
Accidents
0
1
2.
3
4
Probability
.935
.03
.02
.01
.005
Find the expected number of accidents
each day.
Enter
Answer: 0.12
Step-by-step explanation:
The expected number of accidents is a weighted average of the potential number of accidents and their probabilities:
= (0 * 0.935) + (1 * 0.03) + (2 * 0.02) + (3 * 0.01) + (4 * 0.005)
= 0.12
Which graph best represents the solution for this inequality?
Step-by-step explanation:
6|4w + 2| - 2 > 10
6|4w + 2| > 12
|4w + 2| > 2
4w + 2 > 2 or 4w + 2 < -2
4w > 0 or 4w < -4
w > 0 or w < -1.
The correct graph is the 2nd option.
The graph below shows the number of houses sold over x days. What is the average rate of change from day 2 to day 10? A graph entitle House Sales shows Number of Days on the x-axis, from 0 to 12, and Number of Houses Sold on the y-axis, from 0 to 12. A line connects 5 points. The points are (0, 0), (2, 8), (6, 6), (10, 2), (12, 4). Negative four-thirds Negative three-fourths 6 8
Answer:
-3/4
Step-by-step explanation:
Answer:
-3/4 on EDG 2020
Step-by-step explanation:
Got it Right :)
The equation y = 10x describes the amount of money Serena earns, where x is the number of hours she works and y is the amount of money she earns.
The table shows the amount of money Christine earns for different numbers of hours
worked.
Christine's Earnings
Time (h):
3 5 8 10
Money earned:
60 100 160 200
(a) How much money does Christine earn per hour? Show your work.
(b) Who earns more per hour? Justify your answer.
(c) Draw a graph that represents Christine's earnings over time in hours. Remember
to label the axes.
I WILL GIVE BRAINLIEST IF THEY ARE CORRECT AND ALL ANSWERS WERE ANSWERED!!!
Answer : Answer:
a) $10 per hour
b) Sandra
Step-by-step explanation: he equation y 10x describes the amount of money Sandra earns, where x is the number of hours she works and y is the amount of money she earns
The table shows the amount of money Susan cams for different numbers of hours worked
Susan's Earnings
Time (h) Money Earned
5 40
8 64
10 80
(a) How much money does Sandra eam per hour? Show your work
(b) Who earns more per hour? Justify your answer
Answer:
a)
y = 10x is sandra's equation. To find her hourly rate, we need to find how much she earns in "1" hour. Since x is hours, we plug in x = 1 and find y (which is her pay).
y = 10x
y = 10(1)
y = 10
$10 is Sandra's hourly rate.
b)
To find who earns more per hour, we need to find the hourly rate of Susan as well from the table. Then compare.
5 hours = $40 so per hour is 40/5 = 8
8 hours is 64, so per hour 64/8 = 8
10 hours is 80, so 80/10 = 8
The table is justified at $8 per hour.
We know Sandra earns $10/hr and Susan earns $8 per hour. So Sandra earns more per hour.
WILL GIVE BRAINLIEST pls help
will give brainliest-----------
Answer: C
Step-by-step explanation:
1.25 + (- 0.75) is equal to 1.25 - 0.75.
1.25 is positive while - 0.75 is negative. So 1.25 is head toward the right while - 0.75 is head toward the left.
And when you substract them, you will get 0.5.
So the answer is C.
Ratio of 200m and 1km.
Answer:
the ratio of this one is 0.2\1
Answer:
To calculate the ratio, we should have both quantities in same units, so we can convert the kilometer into meters, knowing that 1 kilometerr are 1000m.
1 * 1000 = 1000m
We know we need to calculate the ratio 200:1000.
We can know divide both quantities by 200 and get...
200/200:1000/200 = 1:5
And now,, we know this ratio is 1:5..
Lupe has 14 stickers that she wants to give to 2 friends.
She wants each friend to have the same number of stickers.
Select the three statements that describe how Lupe should give the stickers to her friends.
A. Each friend gets 14÷2 stickers.
B. Each friend gets 2 of the 14 stickers.
C. Each friend gets 142 stickers.
D. Each friend gets 7 of the 14 stickers.
Graham walked to school at an average speed of 3 miles an hour and jogged back along the same route at 5 miles an hour. If his total traveling time was 1 hour, what was the total number of miles in the round trip?
x/3 + x/5 = 1 hr
8x/15 = 1 hr
x = 15/8
15/8 times 2 for round trip. 15/4 miles or 3.75 miles total
Help pls I really need it
Answer:
Infinite number of solutions
Step-by-step explanation:
when you solve for V, you notice that the term in "v" goes away, and you end up with a true statement:
2 = 2
This is a true statement no matter what values the variable V has, so it is true for all possible (infinite) values of "v".
How do i do this pls help me
standard form (ax + by = c) to slope-intercept form (y = mx + b)
5x+7y= -21 (ANSWER?)
Answer:
y=-5/7x-3
Step-by-step explanation:
so, we need the equation to be in y=mx+b form.
The equation right now is 5x+7y=-21 in standard form.
We need to isolate y onto one side
Here's the equation:
5x+7y=-21
subtract 5x from both sides
7y=-5x-21
divide by 7
y=-5/7x-21/7
simplify
y=-5/7x-3
Hope this helps! :)
82.50 +46.63 i need help
Sherry has read 56 pages of a book. Her teacher wants her to read to at least page 200 by Monday. How many pages must Sherry average reading each of the next six days to satisfy her teacher's request?
Answer: 43
Step-by-step explanation:
because i know
Which expressions have an estimated value that is close to 9? Check all that apply.
Answer:
can you post a picture of the question?
Answer:
Hello There!
Step-by-step explanation:
Could you please put the answer choices/expressions? You can just write them in the comment section and I can edit this answer to help you out :)
Happy New Year
i’m not asking for much :(
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
mcfluffythebigrubberducky
Of the 200 students in school 90 volunteered to work the book sale. what percent of students volunteered?
Answer:
45%
Step-by-step explanation:
90/200 = 0.45
0.45 = 45%
noob
An insurance company charges Ted E. Bear $1400 per year for insurance on his home. The company has predicted that there is a 10% chance that Ted will make a claim on the policy of $5000. Create a probability distribution and determine what the insurance company can expect to make on this policy, on average?
Answer:
$900
Step-by-step explanation:
The given parameters are;
The amount Ted pays per year for insurance on his home = $1,400
The value of the insurance policy = $5000
The chance that Ted will make a claim on the policy = 10%
The expected value is given as follows
Incidence Probability(p) Value(v) v × p
A claim is made 0.1 $5,000 - $1,400 = -$3,600 -$360
No claim 0.9 $1,400 $1260
Expected value is $1,260 - $360 = $900
The value the insurance company can be expected to make on average on the policy is $900
Kevin works at a restaurant. He stacks glasses as shown below. Let x be the number of glasses and f(x) be the height of the stack. If 5.5-inch glasses with 1.2-inch lips are stacked vertically, which table correctly models this situation?
Answer:
[tex]f(x) = 5.5x + 1.2 \\ \: is \: the \: required \: situation.[/tex]
As per the given condition f(x) = 5.5x +1.2 inch will be the required model.
What is function?" A function is a mathematical expression to represent the relation between one or more variable."
According to the question,
x represents the number of glasses
f(x) represents the height of the stack
height of the glass = 5.5inch
stack vertically with height = 1.2 inch
Therefore,
Required model
f(x) = 5.5x +1.2
Hence, f(x) = 5.5x +1.2 inch will be the required model.
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Billy was standing on a diving board that was 4 feet above the water. He dove into the pool which was 8 feet deep and touched the bottom. Which statement accurately describes this
situation?
Triangle A B C is cut by line segment M N. Line segment M N goes from side A B to side B C and cuts both sides into equal parts. The lengths of A M and M B are 88 centimeters, the lengths of C N and N B are 75 centimeters, and the length of A C is 116 centimeters. What is the length of Line segment M N? 58 cm 75 cm 88 cm 116 cm
Answer:
A
Step-by-step explanation:
Edge
The measure of MN is equal to 58cm, the correct option is A.
What is a Triangle?A triangle is a polygon with three sides, vertices and angle.
Triangle A B C is cut by line segment M N.
such that,
A M = M B = 88 centimeter
CN =NB = 75 centimeter
AC = 116 centimeter
If a line segment joins the mid-points of two sides of a triangle, then the line segment is parallel to the third side of the triangle and the measure is equal to half of its length.
MN = (1/2) AC
MN = (1/2) * 116
MN = 58 centimeter
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An object's temperature cools exponentially after it is removed from a furnace (hot oven). If its initial temperature is
730
730
°C and it cools at a rate of
2.95
2.95
% per minute, find the object's temperature after
18.0
18.0
minutes.
Answer: I think 53.1
Step-by-step explanation:
The object's temperature after 18.0 minutes is 425.83.
Given that,
An object's temperature cools exponentially after it is removed from a furnace (hot oven).
If its initial temperature is 730°C and it cools at a rate of 2.95% per minute.
We have to determine,
The object's temperature after 18.0 minutes.
According to the question,
The initial temperature is 730°C and it cools at a rate of 2.95% per minute,
The temperature after t minutes is modeled by an exponential function, which has the following format is,
[tex]T(t) = T(0) . (1-r)^t[/tex]
Where T(0) is the initial temperature, and r is the cooling rate, as a decimal.
Then,
T(0) = 730°c and r = 2.95% = 0.0295
Substitute all the values in the equation,
[tex]T(t) = T(0) . (1-r)^t\\\\T(18) = 730 \times (1-0.0295)^{18}[/tex]
Therefore,
The object's temperature after 18.0 minutes is,
[tex]T(t) = T(0) . (1-r)^t\\\\T(18) = 730 \times (1-0.0295)^{18}\\\\ T(18) = 730 \times 0.5833\\\\T (18) = 425.83[/tex]
Hence, The required value of the object's temperature after 18.0 minutes is 425.83.
To know more about the Exponential function click the link given below.
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what is value of expression 3x7+2^3/(3+1)
Answer:
The value of the expression is 23.
Step-by-step explanation:
3x7+2^3/(3+1) <----- Here is the original problem.
3x7+2^3/4 <----- Simplify what's in the parentheses.
21+2^3/4 <----- Do your multiplication (in the front)
21+8/4 <----- Simplify the exponent. (2 x 2 x 2 = 8)
21+2 <---- Do the division.
23 <----- Here is the correct answer.
Hope this helps! :D
Which of the following is another way to express the equation 16 = -9 + 2?
16 = z - 9
16 = z+9
16 = -z + 9
16 = -z - 9
hi, my homework is on khan academy but my screen is ALL broken. cant solve problem, pls dont delete this, need somebodys help. :(
Answer:
Try finding some place with cheap screen fixing prices. If you can't, ask a friend if they know how to do this type of stuff.
Step-by-step explanation:
I want 196 and 300
The rest I did .
Can anyone plz help.
Thanks in advance
Answer:
4{(9-2)^2}
[tex] {(9 - 4)}^{2} \times (4) \times (9 - 4 - 2)[/tex]
Jamie wants to run 2 3/4 miles today. He has already run 1 1/4 miles. How much farther must he run to reach his goal?
Answer:
0 miles
Step-by-step explanation:
Just subtract 11/4 from 2 3/4
2 3/4 - 11/4 = 0
So, he doesn't need to run any more
Select all radical expressions that are equivalent to 41 3/5
Answer:
x^ \frac{m}{n} = \sqrt[n]{x^m}x
n
m
=
n
x
m
and
(x^m)^n=x^{mn}(x
m
)
n
=x
mn
so
x^ \frac{3}{5} = \sqrt[5]{4^3}x
5
3
=
5
4
3
but wait, there's more
4=2², so
x^ \frac{3}{5} = \sqrt[5]{4^3} = \sqrt[5]{(2^2)^3} = \sqrt[5]{2^6}x
5
3
=
5
4
3
=
5
(2
2
)
3
=
5
2
6
=
2^ \frac{6}{5}=(2^ \frac{5}{5})(2^ \frac{1}{5})=2 \sqrt[5]{2}2
5
6
=(2
5
5
)(2
5
1
)=2
5
2
also, 4^3=64
1. ¿Cuál de las siguientes fracciones es una fracción MIXTA ?
(2 Points)
O 3 8/6
O 9/3
O 3 6/8
Please help me (6+6)/2=
Answer:
6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
(6 + 6)/2
Step 2: Evaluate
(Parenthesis) Add: 12/2Divide: 6