Answer:
4 trucks per hour
Step-by-step explanation:
You would do the trucks over the hours to get the ratio so, 28:7 is equal to 4:1 because 28/7 = 4
a. How much warmer is 82 than 40?
b. How much warmer is 82 than -40?
a. What is the difference in height between 30 m up a cliff and 87 m up a cliff? What is the distance between these positions?
b. What is the difference in height between an albatross flying at 100 m above the surface of the ocean and a shark swimming 30 m below the surface? What is the distance between them if the shark is right below the albatross?
Answer:
a. 42
b. 122
a. 57
b. 130
Step-by-step explanation:
For problem A:
because both of these values have positive numbers, just use normal subtraction
82 - 40 = 42 degrees warmer
For problem B:
because we are subtracting a negative number from a positive number, we add both of these numbers because 82 - -40 can also be equal to 82 + 40
82 - -40 = 122
For problem A:
the sentences 30m up a cliff and 87m up a cliff are describing positive values.
87 - 30 = 57
For problem B:
Now in this problem, the sentence 100m above the surface is describing a positive value, but the sentence 30m below the surface describes a negative value
how do I know this?
if the sentences above the surface and below the surface are describing positive and negative values, then there has to be a neutral value ( which is 0)
0 meters = the surface, because they are using both positive and negative values, meaning that the surface is the neutral value
by using a number line, you can draw it out like this
below the surface-------------------------the surface----------------------------above the surface
-30--------------------------------------------0--------------------------------------------100
therefore, 100 - - 30 = 100 + 30 = 130
Does anybody know if it’s possible to find the answers online for Aleks math?
What is the scale factor of Figure B to Figure A?
According to a recent poll, 25% of adults in a certain area have high levels of cholesterol. They report that such elevated levels "could be financially devastating to the regions healthcare system" and are a major concern to health insurance providers. According to recent studies, cholesterol levels in healthy adults from the area average about 260 mg/dL, with a standard deviation of about 35 mg/dL, and are roughly Normally distributed. Assume that the standard deviation of the recent studies is accurate enough to be used as the population standard deviation. If the cholesterol levels of a sample of 49 healthy adults from the region is taken answer parts (a) through (d). A) What is the probability that the mean cholesterol level of the sample will be no more than 210? B) What is the probability that the mean cholesterol level of the sample will be between 205 and 215? C) What is the probability that the mean cholesterol level of the sample will be less than 200?D) What is the probability that the mean cholesterol level of the sample will be greater than 222?
Answer:
The answer is below
Step-by-step explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\for\ a \ sample(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\where\ x=raw\ score,\mu=mean, \sigma=standard deviation[/tex]
Given that n = 49, μ = 260 mg/dL, σ = 35 mg/dL
a) For x < 210:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{210-260}{35/\sqrt{49} } =-10[/tex]
From the normal distribution table, P(x < 210) = P(z < -10) = 0.0001
b) For x > 205:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{205-260}{35/\sqrt{49} } =-11[/tex]
For x < 215:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{215-260}{35/\sqrt{49} } =-9[/tex]
P(205 < x < 215) = P(-11 < z < -9) = P(z < -9) - P(z < -11) = 0.0001 - 0.00001 = 0.00009
c) For x < 200:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{200-260}{35/\sqrt{49} } =-12[/tex]
From the normal distribution table, P(x < 200) = P(z < -12) = 0.00001
d) For x > 222:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{222-260}{35/\sqrt{49} } =-7.6[/tex]
From the normal distribution table, P(x > 200) = 1 - P(z < -12) = 1 - 0.0001 = 0.9999
Help now ____________[_
Find the value (5x2 - 6x) = 3x
Answer:
x=0, 1+4/5
Step-by-step explanation:
do you need a Step-by-step explanation?
PLS HELP ME YOU DON'T HAVE YO SHOW UR WORK
Answer:
b.
-2/3
Step-by-step explanation:
2/3 + (-2/3)
2+-2/3
0
hope this helps :)
The sum of all even numbers from 0 to 420 is
Answer:
the sum of all even number from 0 to 420 is 175980
n = 40, p=0.95, X = 38
P(38) =
Answer:
36.1
Step-by-step explanation:
Divide $400 in the ratio 3 :5
Solution:
Given ratio - 3:5
1 part = 3
2 part = 5
Total no. of parts = 3 + 5 = 8 parts
400 / 8 = 50
3 * 50 = 150
5 * 50 = 250
I think that's it :D
5(3m+2)
please help me
Answer:
(5x3m) + (5x2) = 15m + 10
Step-by-step explanation:
multiply 5 to 3m plus 5 to 2 which is equivalent to 15m + 10
PLEASE PLEASE HELP ME
Katie earns $0.50 each time she does a chore. She does some chores. Then she gets $6 for her birthday. How much money does she have?
Answer:
First I need to know how much chores she does because I can't get the money that she makes with the word SOME I need to know how many chores she makes.
Step-by-step explanation:
Write the first 4 multiples of 3/8
Multiples of 3
: 3, 6, 9, 12, 15, 18, 21, 24, ...
Multiples of 4
: 4, 8, 12, 16, 20, 24, ...
Multiples of 8
: 8, 16, 24, ..
2
Find the smallest number that is shared by all rows above. This is the LCM.
LCM = 2424
Method 2: By Prime Factors
1
List the prime factors of each number.
Prime Factors of 3
: 3
Prime Factors of 4
: 2, 2
Prime Factors of 8
: 2, 2, 2
2
Find the union of these primes.
2,2,2,32,2,2,3
3
Multiply these numbers: 2\times 2\times 2\times 3=242×2×2×3=24. This is the LCM.
LCM = 2424
a parabola has vertical axis symmetry with a vertex at the point of (0,0) and (0, -5) focus point
Graph the line with the equation y - 1/4x +5.
Answer:
Y-intercept=5 Slope=-1/4
Step-by-step explanation:
Plot a point on (0,5)
From that point, you can either go down 1 point and right 4 points, or you can go up 1 point and go left 4 points.
Whichever one you choose, plot a point after each 2 movements
if this is too confusing, another point would be (4, 4) then make a line through both points.
On average, there are 12 potholes per mile on a particular stretch of the state highway. Suppose the potholes follow a Poisson distribution on the highway. a. Find the probability of finding fewer than two potholes in a quarter-mile stretch of the highway. (Do not round intermediate calculations. Round your final answer to 4 decimal places.) b. Find the probability of finding more than one pothole in a quarter-mile stretch of the highway. (Do not round intermediate calculations. Round your final answer to 4 decimal places.)
Answer:
a) 0.1992 = 19.92% probability of finding fewer than two potholes in a quarter-mile stretch of the highway.
b) 0.8008 = 80.08% probability of finding more than one pothole in a quarter-mile stretch of the highway.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
a. Find the probability of finding fewer than two potholes in a quarter-mile stretch of the highway.
Mean of 12 potholes per mile, which means that in a quarter-mile stretch, the mean is [tex]\mu = \frac{12}{4} = 3[/tex]
This probability is:
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-3}*(3)^{0}}{(0)!} = 0.0498[/tex]
[tex]P(X = 1) = \frac{e^{-3}*(3)^{1}}{(1)!} = 0.1494[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0498 + 0.1494 = 0.1992[/tex]
0.1992 = 19.92% probability of finding fewer than two potholes in a quarter-mile stretch of the highway.
b. Find the probability of finding more than one pothole in a quarter-mile stretch of the highway.
This is
[tex]P(X > 1) = 1 - P(X < 2)[/tex]
We have that [tex]P(X < 2) = 0.1992[/tex]
So
[tex]P(X > 1) = 1 - P(X < 2) = 1 - 0.1992 = 0.8008[/tex]
0.8008 = 80.08% probability of finding more than one pothole in a quarter-mile stretch of the highway.
find the value of x
thank u so much
Answer:
x= 100
Step-by-step explanation:
The opposite angles in a cyclic quadrilateral are supplementary.
80+x = 180
x = 180-80
Answer:
x = 100
Step-by-step explanation:
The opposite angles in a cyclic quadrilateral are supplementary, then
x + 80 = 180 ( subtract 80 from both sides )
x = 100
FLIPPIN H E L P
which shows how to solve the equation3/4 x = -6 for x in one step?
a) 3/4 (4/3)x = -6 (4/3)
b) 3/4 (4)x = -6 (4)
c) 3/4 (4)x = -6 (3)
d) 3/4 (4/3)x = -6 (3/4)
what is half of 18 !!!
Answer:
9
Step-by-step explanation:
Thando bought 24 marbles and lost 4/6 of his marbles how many did he lose?
Answer:
he lost 16, he has 8 left
Step-by-step explanation:
24 divided by 6 =4
4 x 4 = 16
24 - 16 = 8
What is the value of n
. n=8cm.
Step-by-step explanation:
Answer:
where is the equation
Step-by-step explanation:
Evaluate −6 − (−1)
a.) -7
b.) 5
c.) -5
d.) 6
Answer:
-5
hope this helped!!
A speed boat travels 1040 meter in 30 minutes. How far will it go in an hour? *
Answer:
2080 meters
Step-by-step explanation:
An hour is double of 30 minutes so, if you double the length it went you would get how far it goes in an hour, 2080 meters.
if you borrow $1,200 for 3 years at an annual interest rate of 4% how much will you pay altogether
Answer:
$1,344.00
Step-by-step explanation:
A=P(1+rt)
A=1,200(1+(0.04)(0.03))
What are the zeros of this function?
- 10
10
- 10 -
O A. x = 0 and x = -6
OB. X = 2 and x = -6
O C. x = 0 and x = 5
O D. x = 0 and x = -5
Answer: c
Step-by-step explanation:
The zeros of the given function shown in the graph are x = 0 and x = 5. Option C is correct.
What are the zeros of equations?Zeros of an equation is defined as the value of the independent variable where the equation or function gives zero.
Here,
To calculate the zeros of a function from a graph, you need to identify the points where the graph intersects the x-axis. The x-values of these points of intersection are the zeros of the function.
Based on the graph provided, it can be concluded that the zeros of the function occur at x = 0 and x = 5, and therefore, option C is the correct answer.
Learn more about zero of a function here:
https://brainly.com/question/12431044
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Note: When solving for k, round to four decimal places. A culture started with 5,000 bacteria. After 3 hours, it grew to 6,500 bacteria. Predict how many bacteria will be present after 13 hours. Round your answer to the nearest whole number. P = Aekt Enter the correct answer. DONE + ?
Answer:
5000 * (e^((1 /4) * ln(55 / 50) * (13))) = 6,815.47 from My text book
Step-by-step explanation:
Hello. I have no idea how to solve this question below about Probability. I would appreciate if you show how to solve it step-by-step. Thank you so much.
Alonzo, Bob, and Casper work bussing tables at a restaurant. Alonzo has a 70% chance, Bob has a 10% chance, and Casper has a 20% chance of bussing tables in the middle area of the restaurant. If Alonzo is bussing tables, he has a 6% chance of breaking a dish. If Bob is bussing tables, he has a 2% chance of breaking a dish. Finally, if Casper is bussing tables, he has a 3% chance of breaking a dish. If there is a broken dish in the middle of the restaurant, what is the probability it was broken by Casper?
The probability the dish was broken by Casper if he bussed tables is;
P(Casper bussing tables and breaking dish) = 0.6%
We are given the three probabilities each for Alonzo, Bob and Casper for bussing tables and also in case any dish should break.
P(Alonzo bussing tables) = 70% = 0.7
P(Bob bussing tables) = 10% = 0.1
P(Casper bussing tables) = 20% = 0.2
P(Alonzo breaking a dish) = 6% = 0.06
P(Bob breaking a dish) = 2% = 0.02
P(Casper breaking a dish) = 3% = 0.03
This is all about independent events as the probability of breaking the dishes does not increase or decrease with the bussing of the tables.
Thus; P(A and B) = P(A) + P(B)
Thus, if a dish is broken, the probability that it was broken by Casper is;
P(Casper bussing tables and breaking dish) = P(Casper bussing tables) × P(Casper breaking a dish)
P(Casper bussing tables and breaking dish) = 0.2 × 0.03
P(Casper bussing tables and breaking dish) = 0.006 or 0.6%
Read more at; https://brainly.com/question/12602710
Tyshawn drew a two-dimensional shape. The shape had multiple sides. The
shape had only right angles. There are two pairs of parallel lines. One pair is 4 inches
Answer:
This is a rectangle
Step-by-step explanation:
2D shape with 4 right angles would be a rectangle because 2 sides are equal and the other 2 would be equal to give you 4 right angles
7ft
5ft
8ft
7ft
Find the area of each figure