Answer:
They are independent events
Step-by-step explanation:
For independent events;
Pr(A & B) = Pr(A) × Pr(B)
Given that:
A = day is Monday or Wednesday
Since we have four weeks and each week will have one Monday and Wednesday each,
Pr(A) = (8/28)
B = day falls in the first or third week
Since, first and the third week has a total of 14 days,
Pr(B) = 14/28
Therefore;
Pr(A) × Pr(B) = 8/28 * 14/28
Pr(A) × Pr(B) = 1/7
Now, A and B = day is either Monday or Wednesday, and it is in the first or third week
There are four such days, Thus Pr(A and B) = 4/28 = 1/7
Since, Pr(A and B) = Pr(A) * Pr(B),
A and B are independent events
What is 3/8 equal to in decimals..?
Answer:
.375
Step-by-step explanation:
Answer: 0.375
Step-by-step explanation:
Hey there! If you have any questions feel free to leave them in the comments below.
To find the answer you would divide the numerator by the denominator. [tex]\frac{3}{8}[/tex] would be equal to 0.375
~I hope I helped you :)~
What are not a benchmark fraction
Answer:
0/4, 0/6 those are examples of non benchmark fractions. 1/2 is a benchmark fraction.
Step-by-step explanation:
The required fraction that is said to be not a benchmark fraction is given as 1/8.5, 1/7, and similar fractions.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
here,
Benchmark fractions, this is the fraction values that are used frequently in any mathematical and analytical operations such values are, 1/2, 1/4, 3/4, and so on.
And none benchmark fraction values are 1/8.5, 1/7, and similar fractions. and their uses are none essential and none frequent.
Thus, the required fraction that is said to be not a benchmark fraction is given as 1/8.5, 1/7, and similar fractions.
Learn more about fractions here:
https://brainly.com/question/10708469
#SPJ2
Write seven hundred twenty-one in standard form
Answer:
721
Step-by-step explanation:
dog you in elementary school
Which value could go in the blank cell so that the percentage of only children that
have no pets is 37.5%?
A. 63
B. 82
C. 175
D. 205
Answer:
maybe B
I am not to my answer
The solution is Option A.
The number of only children with no pets is given by the equation A = 63 and the percentage would be P = 37.5 %
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of only children with no pets be A
Now , the equation will be
The number of siblings with pets = 82
The number of siblings with no pets = 141
The number of only child with pets = 105
Now , let A = 63
So , the total number of children = 105 + 63 = 168
The percentage given is P = 37.5 %
So , the percentage of children with no pets P = ( number of only children with no pets / total number of children ) x 100
Substituting the values in the equation , we get
Percentage of children with no pets P = ( 63 / 168 ) x 100
Percentage of children with no pets P = 0.375 x 100
Percentage of children with no pets P = 37.5 %
Therefore , the value of A is 63
Hence , the number of children with no pets i 63
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
3. Two cars are parked, 150m apart, and on opposite sides of a building. A camera on the top of the building rotates and can view both cars. One car can be viewed at an angle of depression of 370, and the other car can be viewed at an angle of depression of 420. How tall is the building?
Answer:
The building is 61.5 m tall
Step-by-step explanation:
The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:
h = height of the building
a, b = internal angles of each triangle
x = base of each triangle
The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:
a = 90° - 37° = 53°
b = 90° - 42° = 48°
Now we apply the tangent ratio on both triangles separately:
[tex]\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]
[tex]\displaystyle \tan 53^\circ=\frac{150-x}{h}[/tex]
[tex]\displaystyle \tan 48^\circ=\frac{x}{h}[/tex]
From the last equation:
[tex]x=h.\tan 48^\circ[/tex]
Substituting into the first equation:
[tex]\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}[/tex]
Operating on the right side:
[tex]\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ[/tex]
Rearranging:
[tex]\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}[/tex]
Solving for h:
[tex]\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}[/tex]
Calculating:
h = 61.5 m
The building is 61.5 m tall
Which set of ordered pairs represents a function? O{(-6,1), (7,2), (6,5), (-6,-1)} O {(8,7),(-8,-4),(4,8), (-8,1)} O {(-2,7), (-2,0), (0, -6), (-4,0)} o {(-2,-4), (-7,1), (8,3), (3,3)}
Sports Plus has a sale on all
baseball cleats for 25% off. If a
pair of cleats is priced at $74.00,
what is the price after the
discount?
Answer:
$55.5
Step-by-step explanation:
divide 74 by 100 to find out how much 1% of the shoe is and multiply that number by 25 and you will get 18.5 , then subtract 18.5 from 74 and you get $55.5!Hope this helps :)
The administrators at the University of Oklahoma wonder if Oklahoma residents or non-Oklahoma residents differ in their excitement to go home for the holidays following final exams. They randomly select 100 Oklahoma residents and 100 non-Oklahoma residents for their study. They then ask all participants to rate their excitement level on a scale of 1-10. The mean excitement level for Oklahoma residents was 7.745, while the mean excitement level for non-Oklahoma residents was 7. They create the following 95% confidence interval for the mean difference: -1.78 to 3.27. Which of the following is the best way to interpret their results based on their confidence interval?
a. The administrators are 95% confident that Oklahoma residents are significantly more excited than non-Oklahoma residents to go home for the holidays.
b. The administrators are 95% confident that Oklahoma residents are significantly less excited than non-Oklahoma residents to go home for the holidays.
c. The administrators are 95% confident that Oklahoma residents significantly differ from non-Oklahoma residents in their excitement to go home for the holidays because their interval covers 0.
d. The administrators are unable to tell if there is a true difference between Oklahoma and non-Oklahoma residents in their excitement to go home for the holidays because their interval covers 0.
Answer:
d. The administrators are unable to tell if there is a true difference between Oklahoma and non-Oklahoma residents in their excitement to go home for the holidays because their interval covers 0.
Step-by-step explanation:
The confidence interval refers to a rabje of statistically calculated values used in establishing a certain level of confidence in the outcome of a data.
The confidence interval is calculated thus :
Mean ± (Zcritical * Error)
The ± sign ensures we have the lower and upper boundary of our confidence level.
From the confidence level given in the question : -1.78 to 3.27
Since 0 is contained in the confidence interval range given, then it can be concluded that the difference in excitement between Oklahoma and non oklahoma residents cannot be adequately established.
Question 1
Mathematical Relationships
Part A
In general, what can you say about the relationship between health (life
expectancy at birth) and wealth? Mention possible reasons for this
relationship
someone with wealth without health is nobody
Step-by-step explanation:
when someone that is wealthy didn't give birth d Husband would say they should adopt a child or he should marry another wife
A farmer conducted a hypothesis test to see if a new type of soybean would grow better on their land. The alternative hypothesis is the new seed will on average grow more than the old soybean type. The farmer runs a controlled experiment and finds a p-value of .345. The farmer comes to the conclusion that there is no evidence that the new soybean will lead to a larger harvest. What error(s) is it possible to commit
Answer:
Type 2 Error
Step-by-step explanation:
Null Hypothesis [H0] : New soybean has no impact on harvest
Alternate Hypothesis [H1] : New soybean leads to larger harvest
The farmer accepts the null hypothesis & concludes, that there is no impact of new soybean on harvest.
He could have committed Type 2 Error, which refers to accepting a null hypothesis when it is actually false.
A cylindrical soup can has a radius of 8.4 cm and a height of 13.2 cm. What is the volume of the soup can to the nearest tenth of a cubic centimeter?
A= 110.9 cm3
B= 348.3 cm3
C= 673.8 cm3
D= 2926.1 cm3
Answer:
D. 2926.1 cm3
Step-by-step explanation:
To calculate volume of a cylinder, you need to use the equation V = pi r² h, where r is radius and h is height.
you have the right numbers to plug in, so pi times 8.4² times 13.2, which gives you 2926.05 which you round up to 2926.1 cm³
please help me please
Mai runs around a 400-meter track at a constant speed of 250 meters per minute. How many minutes does it take Mai to complete 4 laps of the track? Explain or show your reasoning
Answer:
[tex]6.4[/tex] minutes
Step-by-step explanation:
Given information:
- Track is 400m long
- Mai runs at a constant speed of 250 meters/minute
- - - - - -
To find how many minutes it takes for Mai to complete 4 laps, we need to find the total distance Mai is running for:
[tex]400\times4=1600[/tex] meters
To find how many minutes Mai is running for, we divide by the distance Mai travels per minute:
[tex]1600\div250=6.4[/tex] minutes
∴ Mai takes [tex]6.4[/tex] minutes to run 4 laps around the track.
Hope this helps :)
Write a fraction that is less than 1/3 using 1 as the numerator. EXPLAIN why you chose that answer.
A fraction which is less than 1/3 is 1/6
How to find quantities which are less than a given quantity?We can lessen a quantity if we take out some positive part from it.
Thus, suppose if it is given that there are 'T' things, then a quantity which is less than 'T' would be 'T - S'
where S is something positive.
(there can be infinite number of values less than a specific finite value, and similarly, there can be infinite number of values more than a specific finite value).
For the given case, the fraction given is 1/3
Let a fraction which is less than it be denoted by F
Then,
[tex]F < 1/3\\F = \dfrac{1}{3} - S[/tex]
Let S = 1/6
Then, we get value of F as:
[tex]F = \dfrac{1}{3}- \dfrac{1}{6} = \dfrac{2 - 1}{6} = \dfrac{1}{6}\\[/tex]
Thus, 1/6 is a fraction which is less than the given fraction 1/3
Learn more about fractions here:
https://brainly.com/question/12106245
Determine if the graph of the quadratic equation opens up or down and is wider or narrower than the graph y=x?
y = -x? +2
Answer:
y = -x^2 +2
Step-by-step explanation:
? means like add something in. Like ^2 is what I added in.
https://brainly.com/question/20359398. This is what I learned after this chapter. (Concept.) You can learn about it and get ahead if they'll learn this.
i need help with this please
Answer:
31/8
Step-by-step explanation:
Lana makes eight dollars an hour Plus $12 an hour for every hour overtime. Overtime hours are any hours more than 40 hours for the week create an equation that shows the amount of wages earned, W, for working X hours in a week when there is no overtime
Answer:
W = $8X
Step-by-step explanation:
Lana makes $8 per hour
Extra $12 an hour for every hour overtime
Overtime are hours more than 40 hours per week
In this case, Lana worked for X hours with no overtime
If W is wages earned for working for X hours , the equation will be;
W= X * $8
W= $8X
help please I'm in a timed test
The sum of two numbers is 0. Twice the smaller number subtracted from 3 times the larger number is 10. Let x re the larger number and y represent the smaller number. Which equations represent this situation?
y=-X y=āx-5
y = x 3 v=zx-5
y= 3x+ 3 2 Y = 3x+
Answer:
it's A
Step-by-step explanation:
y=-x
y=3/2x-5 hope this helps you
Show distributive property steps to evaluate 9 · 67 ?
603
Step-by-step explanation:We are given the expression:
9*67
Evaluating the expression:
We can write 67 as (60+7). So, we can rewrite the given expression as:
9*(60+7)
Using the distributive property:
(9*60) + (9*7)
540 + 63
603
Help me please .....
Answer:
the transformed function will be: [tex]\mathbf{g(x)=-\sqrt{\frac{1}{3} x}+2}[/tex]
Step-by-step explanation:
We need to transform [tex]f(x)=\sqrt{x}[/tex] into g(x) using following translations
1) reflection in the x-axis
The reflection across x-axis will be:
[tex]g(x)=-\sqrt{x}[/tex]
2) Horizontal shrink by a factor of 1/3
The horizontal shrink by a factor of 1/3 will make the function g(x)
[tex]g(x)=-\sqrt{\frac{1}{3} x}[/tex]
3) Vertical translation up 2 units
The vertical translation up 2 units will make the function g(x)
[tex]g(x)=-\sqrt{\frac{1}{3} x}+2[/tex]
So, the transformed function will be: [tex]\mathbf{g(x)=-\sqrt{\frac{1}{3} x}+2}[/tex]
Dan, Richard and Nick share £70 in a ratio 1:3:1. How much money does each person get?
Dan:
£
Richard:
£
Nick:
£
Answer:
dan 14 Richard 42 nick 14
Assuming there are no reflections or dilations,
explain how you would write the oquation of the
function whose graph is sketched below.
Answer:
Step-by-step explanation:
We can see that this graph looks something like the graph of:
f(x) = 1/x^2
But the asymptotes of 1/x^2 are at x = 0, and in this case we can see that the asymptotes are near x = -3.
This may mean that the graph has been horizontally shifted 3 units to the left.
A general way to write an horizontal shift of N units is:
g(x) = f(x + N)
if N is positive, then the shift is to the left, if N is negative, then the shift is to the right.
In this case, we will have;
g(x) = f(x + 3)
And f(x) = 1/x^2
then:
g(x) = 1/(x + 3)^2
Graphing that, we get the graph shown below, that is almost the same as the graph in the image.
fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city
Answer:
good song
Step-by-step explanation:
yes
Answer:
fireflies by owl city
Step-by-step explanation:
fireflies by owl city
The temperature went from 90° to 60°. What is the percent decrease? Round to the nearest percent.
1)30%
2)33%
3) 60%
4)66%
Plz Help! Will give Brainliest!!!
Kennan graphed the location of several places in his town on the coordinate plane shown below. Determine if each statement about Kennan's graph is true or false. True False The library is 555 units from the yyy-axis. The school is located at (0,6)(0,6)left parenthesis, 0, comma, 6, right parenthesis.
Answer:
Concept: Graph Analysis
The library is 5 units to the left from the y-axis hence the statement is TrueThe School is not located at (0,6) it is located at (6,0) hence the statement is FalseAndrea runs a fruit store. She started Sunday with 20 cherries in stock. During the day, she sold 17 cherries and got a shipment of fresh cherries. The shipment contained 4 times as many cherries as she started the day with. How many cherries does Andrea have in stock at the end off the day?
answer:
example
Answer:
Um.
Step-by-step explanation:
Could you give an example of what? Or no.?
In how many different ways can you arrange 6 flower vases on a table?
Answer:
720
Step-by-step explanation:
To solve a problem like this, you do: !6
This basically means 6*5*4*3*2*1
6*5 = 30
30*4=120
120*3=360
360*2=720
720*1=720
I need help with this question
Answer:
oehfinefnefikvds
Step-by-step explanation:
okokokoko
p: Las Vegas is the capital of Nevada.
q: There are 10 inches in a foot.
Use: pvq
Answer:
P= Carson City
Q= 12 inches long
So do you have to have a least 2 people answering the question to five them the crowm?
Answer:
Well... only two people can answer a question. But you must have both two answers for a question to give brainliest to one or another. Got it? :)
Step-by-step explanation: