Answers
The first statement is correct
To calculate the distance we have to substrate the values of the Y axis only since X values are constant so the distance IS 4 - - 7=4+7=11
Answer:
The first answer. The distance is 11.
Related Questions
Suppose 30% of a population possess a given characteristic. If a random sample of size 1200 is drawn from the population, then the probability that less than 348 possess that characteristic is
Answers
Answer:
The probability that less than 348 possess that characteristic is 0.2148 = 21.48%.
Step-by-step explanation:
I am going to use the binomial approximation to the normal to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
In this question, we have that:
[tex]n = 1200, p = 0.3[/tex]
So
[tex]\mu = E(X) = np = 1200*0.3 = 360[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{1200*0.3*0.7} = 15.8745[/tex]
The probability that less than 348 possess that characteristic is
Using continuity correction, this is P(X < 348 - 0.5) = P(X < 347.5), which is the pvalue of Z when X = 347.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{347.5 - 360}{15.8745}[/tex]
[tex]Z = -0.79[/tex]
[tex]Z = -0.79[/tex] has a pvalue of 0.2148.
The probability that less than 348 possess that characteristic is 0.2148 = 21.48%.
The population follows a normal distribution.
The probability that less than 348 possess that characteristic is 0.2248
The given parameters are:
[tex]\mathbf{n = 1200}[/tex]
[tex]\mathbf{p = 30\%}[/tex]
Start by calculating the mean:
[tex]\mathbf{\mu =np}[/tex]
[tex]\mathbf{\mu =1200 \times 30\%}[/tex]
[tex]\mathbf{\mu =360}[/tex]
Calculate the standard deviation
[tex]\mathbf{\sigma = \sqrt{np(1 - p)}}[/tex]
[tex]\mathbf{\sigma = \sqrt{360(1 - 30\%)}}[/tex]
[tex]\mathbf{\sigma = \sqrt{252}}[/tex]
[tex]\mathbf{\sigma = 15.87}[/tex]
Calculate the z-score
[tex]\mathbf{z = \frac{x - \mu}{\sigma}}[/tex]
Where:
x = 348
So, we have:
[tex]\mathbf{z = \frac{348 - 360}{15.87}}[/tex]
[tex]\mathbf{z = -\frac{12}{15.87}}[/tex]
[tex]\mathbf{z = -0.7561}[/tex]
So, the probability is represented as:
[tex]\mathbf{P(x < 348) = P(z < -0.7561)}[/tex]
From the z-table of probabilities, we have:
[tex]\mathbf{P(x < 348) = 0.2248}[/tex]
Hence, the probability that less than 348 possess that characteristic is 0.2248
Read more about probabilities at:
https://brainly.com/question/11234923
A gardener a coordinate grid to design a new garden. The gardener uses a polygon WXYZ on the grid to represent the garden. The vertical of this polygon are W (3, 3), X (- 3, 3), Y (-3, -3) Z (3, -3). Each grid unit represents one yard. Find the area of the garden.
Answers
Answer:
Find the area of the square using the length of the segment WX as the sides.
s = |2 |+ | −2 | = 2 + 2 = 4 yards
Then A = s2 = 42 = 16 square yards.
Step-by-step explanation:
I got the same question but with different numbers so you could just use the formula to find you answer.
The entertainment committee at Maplecrest Junior High School has narrowed down the theme of the Spring Dance to three choices. The ten committee members want to conduct a survey to determine which theme Maplecrest's 2000 students prefer. There will be three choices (Disco Fever, The Crazy Eighties, or Hip Hop Til You Drop) and the committee will go with the theme that gets the most votes.
Which of the following survey methods will allow the committee to make a valid conclusion about which theme Maplecrest's student body prefers?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Each of the 10 committee members can ask 10 friends to obtain a sample of 100 students.
(Choice B)
B
Assign a number to each student, and use a computer program to generate 100 random numbers between 1 and 2000. Ask those students whose numbers are selected.
Answers
Answer:
B
Step-by-step explanation:
To make the survey fair, every student in the school has to have an equal chance to be selected to take the survey. The first scenario would only allow friends of the committee members to be selected, but the second one would give a chance to all students.
Solve 22.5 + x = -47.37.
Answers
Answer:
x = -69.87
Step-by-step explanation:
22.5 + x = -47.37
Subtract the 22.5 on both sides:
x = - 69.87
Answer:
(225/10)+x=-(4737/100)
One solution was found :
x = -6987/100 = -69.870
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "47.37" was replaced by "(4737/100)". 2 more similar replacement(s)
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(225/10)+x-(-(4737/100))=0
Step by step solution :
Step 1 :
4737
Simplify ————
100
Equation at the end of step 1 :
225 4737
(——— + x) - (0 - ————) = 0
10 100
Step 2 :
45
Simplify ——
2
Equation at the end of step 2 :
45 -4737
(—— + x) - ————— = 0
2 100
Step 3 :
Rewriting the whole as an Equivalent Fraction :
3.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 2 as the denominator :
x x • 2
x = — = —————
1 2
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
45 + x • 2 2x + 45
—————————— = ———————
2 2
Equation at the end of step 3 :
(2x + 45) -4737
————————— - ————— = 0
2 100
Step 4 :
Calculating the Least Common Multiple :
4.1 Find the Least Common Multiple
The left denominator is : 2
The right denominator is : 100
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 1 2 2
5 0 2 2
Product of all
Prime Factors 2 100 100
Least Common Multiple:
100
Calculating Multipliers :
4.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 50
Right_M = L.C.M / R_Deno = 1
Making Equivalent Fractions :
4.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. (2x+45) • 50
—————————————————— = ————————————
L.C.M 100
R. Mult. • R. Num. -4737
—————————————————— = —————
L.C.M 100
Adding fractions that have a common denominator :
4.4 Adding up the two equivalent fractions
(2x+45) • 50 - (-4737) 100x + 6987
—————————————————————— = ———————————
100 100
Equation at the end of step 4 :
100x + 6987
——————————— = 0
100
Step 5 :
When a fraction equals zero :
5.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
100x+6987
————————— • 100 = 0 • 100
100
Now, on the left hand side, the 100 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
100x+6987 = 0
Solving a Single Variable Equation :
5.2 Solve : 100x+6987 = 0
Subtract 6987 from both sides of the equation :
100x = -6987
Divide both sides of the equation by 100:
x = -6987/100 = -69.870
One solution was found :
x = -6987/100 = -69.870
HURRY!!!!! I NEED HELP!!!!!
Find Arc MN
A. 20
b.60
c.66
d.120
Answers
We have been given a circle. We are asked to find the measure of arc MN.
We know that the measure of all arcs in a circle is equal to 360 degrees. SO we can set an equation as:
[tex]\widehat{MN}+\widehat{NO}+\widehat{OL}+\widehat{LM}=360^{\circ}[/tex]
Upon substituting our given values, we will get:
[tex]\widehat{MN}+110^{\circ}+130^{\circ}+54^{\circ}=360^{\circ}[/tex]
[tex]\widehat{MN}+294^{\circ}=360^{\circ}[/tex]
[tex]\widehat{MN}+294^{\circ}-294^{\circ}=360^{\circ}-294^{\circ}[/tex]
[tex]\widehat{MN}=66^{\circ}[/tex]
Therefore, measure of arc MN is 66 degrees and option 'c' is the correct choice.
Gary needs to solve 120 problems by a certain day. He calculated, that to finish all the problems in time, he needs to solve 5 problems every day. But Gary's family is going on a trip, and for 4 days Gary will simply have no time to do math. How many problems will he need to be solving every day when he is not on a trip to still be done in time?
Answers
Answer:
To be done in time, he would need to solve 6 questions per day on the days that he is not on trip
Step-by-step explanation:
If he solves the problems 5 per day, the total number of days that would be required to finish solving the problem would be 120/5 = 24 days
Now, he has 4 free days which would be for a family trip. The number of questions that he would miss during those trip days will be 4 * 5 = 20 questions
Now since he wants to still finish on time, what is needed to be done is to share the 20 left overs amongst the 20 days which he has to work
This makes a total of 1 question per day
Adding this to the 5 questions per day he has before will be = 6 questions per day
Answer:
6 problems
Step-by-step explanation:
HELP ASAP , algebra 1 giving BRAINLIEST , no guessing , please CHECK ALL THAT APPLY
Answers
Answer:
D. 4-d=8
F. 3+2=5
Step-by-step explanation:
You know my explanation but I'm just too lazy to answer.
Please help, thank you.
Answers
Answer:
Photoreceptors
Step-by-step explanation:
This is the answer but I don't see it on there . . .
Question:This is a light sensitive tissue that lines the back of the eye
Answer: Retina
Find the quotient.
3 divided by 3636
A. 1,212
B. 1,202
C. 122
D. 112
E. 102
help asap!!
Answers
Order the following steps to explain the correct process for calculating net income.
Reorder answers
1.Subtract the tax withholdings from the gross income.
Reorder answers
2.Convert the tax rate to a decimal.
Reorder answers
3.Multiply the tax, as a decimal, with the gross income.
Answers
Answer:
Convert the tax rate to a decimal so 8.75% becomes 0.875
Multiply the tax, as a decimal, with the gross income so 1,000 x 0.0875 = 87.5
Subtract the tax withholdings from the gross income 1000 - 87.5 = 912.5
Step-by-step explanation:
can someone help? 25 points
Answers
Answer:
8 hours
Step-by-step explanation:
HE has to pay $7 an hour.
8*7=56
He has a descount of $3, so
$56-$3=$53.
Which is the exat amount of money that Tony has.
Answer:
The answer is 46
Because he wants to spend less so you would do
7x7=49
He could only rent the boat for 7 hours because that would be less than 53$
Now you do 49-3=46
Because he had a discount
So the answer is 46
Step-by-step explanation:
Hope this helped!
Pls help w 13 I rlly need help rn
Answers
Answer:
the last one
Step-by-step explanation:
because it's true
Exponential Growth and Decay The expressions below represent either exponential growth or exponential decay. Check all the expressions that represent exponential decay. 5x 3(0.75)2t 35(2.4)x 5000(1.04)3t 0.05x 500(0.005)t
Answers
Answer:
First one: 5x3(0.75)2t
and fourth one: 0.05x500(0.005)t
Step-by-step explanation:
In order to have an exponencial decay, the rate of the exponencial function needs to be lesser than 1.
The rate is the value between parenthesis, so in the first equation, the rate is 0.75, so this is an exponencial decay.
The second equation has rate = 2.4, so this is not an exponencial decay.
The third equation has rate = 1.04, so this is not an exponencial decay.
The fourth equation has rate = 0.005, so this is an exponencial decay.
Answer:
It's A,C,F
Step-by-step explanation:
I answered it :) and got it right.
Amar rakes leaves for his neighbors to earn money. He earned 64 dollars after
8 hours of work.
• How much does Amar make per hour raking leaves?
Answers
Answer:
amar makes 8 dollars per hour
Step-by-step explanation:
to find the number of hours of work amar does you have to divide the total amount earned by the number of hours worked
64/8 = 8
every hour amar makes 8 dollars, $8 x 8 hours = $64
If now Lina is three times as old as Nick, and in 6 years she will be twice as old as he, how old are they now?\
PLZZ I AM DESPERATE
Answers
Answer:
Step-by-step explanation:
Nick's age = x years
Lina's age =3*x = 3x
After 6 years,
Lina's age = 3x + 6
Nick's age = x + 6
3x + 6 = 2*(x+6)
3x + 6 = 2*x + 2*6
3x + 6 = 2x + 12 {Subtract 6 form both sides}
3x +6 - 6 = 2x + 12 - 6
3x = 2x + 6 {subtract 2x from both sides}
3x - 2x = 2x + 6 - 2x
x = 6
Nick's age = 6 years
Lina's age =3*6 = 18 years
Answer:
Lina is 18 and Nick is 6
Step-by-step explanation:
Find the height of a cylinder with a volume of 30 ins and a radius of 1 in.
9.5 cm
10 cm
8.5 cm
Answers
Answer:
The height of this cylinder = 9.55 ins
Step-by-step explanation:
Volume cylinder = pi * r² * h = 30 ins
r=1
pi * r² * h = 30
pi * 1² * h = 30 ins
h = 30/pi
h = 9.55 ins
Complete the square to rewrite x^2+y^2+2x+6y-6=0 in graphing form
Answers
Answer:
(x + 1)² + (y + 3)² = 16
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² + 2x + 6y - 6 = 0
Collect the x and y terms together and add 6 to both sides
x² + 2x + y² + 6y = 6
To complete the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9
(x + 1)² + (y + 3)² = 16
with centre = (- 1, - 3) and r = [tex]\sqrt{16}[/tex] = 4
(2x+3)(4x-1)<8x^(2)+1
Answers
Answer: [tex]x<\frac{2}{5}[/tex]
Step-by-step explanation:
[tex](2x+3)(4x-1)<8x^2+1[/tex]
Begin by multiplying parentheses.
[tex](2x*4x)+(2x*-1)+(3*4x)+(3*-1)<8x^2+1[/tex]
[tex](8x^2)+(-2x)+(12x)+(-3)<8x^2+1[/tex]
[tex]8x^2-2x+12x-3<8x^2+1[/tex]
Subtract [tex]8x^2[/tex]
[tex]8x^2-2x+12x-3+(-8x^2)<8x^2+1+ (-8x^2)[/tex]
[tex]-2x+12x-3<1[/tex]
Add 3
[tex]-2x+12x-3+3<1+3[/tex]
[tex]-2x+12x<4[/tex]
Combine like terms;
[tex]10x<4[/tex]
Divide by 10
[tex]x<\frac{4}{10}[/tex]
Simplify;
[tex]x<\frac{2}{5}[/tex]
Complete the sentence.
Twenty-four is____
a0% of 80
HELP
Answers
Answer:
the answer is 30%
Step-by-step explanation:
24/80 = 0.3 or 30%
The expresstion 2m +10c gives the amount of money in dollars a desert store makes from selling m muffins and c cakes. How much money does the dessert store make from selling three muffins and four cakes
Answers
Answer:
$46.
Step-by-step explanation:
We plug m = 3 and c = 4 into the given expression:
Money made = 2*3 + 10*4
= $46.
Dilate the segment about the origin by a scale factor of 1 /2 What are the coordinates of B'? please help
Answers
Answer:
(1,-2) edge2020
Step-by-step explanation:
Answer:
(1,-2)
Step-by-step explanation:
got it right on edge
how to get the answer ?
Answers
Answer:
x=-3
Step-by-step explanation:
This is a vertical line, vertical lines have a slope of undefined
They are of the form
x = something
In this case x= -3
What is my favorite subject?
If you get this correct then I'll mark you brainliest
If you're wrong then I'll cancel your answer or you can edit it.
Answers
Answer:
I believe your favorite subject maybe Science and World geography
Step-by-step explanation:
I am not sure : )
The box is 3/4 inch long, 1/2 inch wide, and 1,4 inch deep. What is the volume of the box.
Answers
Answer:
4/32
Step-by-step explanation:
3/4*1/2=3/8
3/8*1/4=4/32
Answer:
3/32 inch^3
Step-by-step explanation:
Train A has a speed 20 miles per hour greater than that of train B. If train A travels 270 miles in the same times train B travels 210 miles, what are the speeds of the two trains?
Answers
Answer:
speed of train A = 70 + 20 = 90 miles per hour
speed of train B = 70 miles per hour
Step-by-step explanation:
Let
speed of train B = a
speed of train A = a + 20
Recall
speed = distance/time
The travel time is same for both train. Therefore, let us make time subject of the formula in the speed equation.
Time = distance/speed
270/a + 20 = 210/a
cross multiply
270a = 210(a + 20)
270a = 210a + 4200
270a - 210a = 4200
60a = 4200
divide both sides by 60
a = 4200/60
a = 70
speed of train A = 70 + 20 = 90 miles per hour
speed of train B = 70 miles per hour
a car travels 480 miles in 7 1/2 hours. if the driver continues to travel at the same average speed, how many miles will the car travel in 12 hours?
Answers
480 miles = 7 1/2 hours
y miles = 12 hours
(cross multiply)
answer: 1645.7 miles
Could you help me with this problem plz!!!
Answers
solve 2x + 26=2 [5-3x]
Answers
Step-by-step explanation:
2x+26=2(5-3x)
2x+26=10-6x
combination of like terms
2x+6x=10-26
8x= -16
x= -16/8
x= -2
Solve the following:
a)
3x + 4 /2 = 9.5
7 + 2x /3 = 5
b)
Answers
a) x=2.5
b) x=-3
Which expression is equivalent to 2.2 - 2.5?
A 2.5 - 2.2
B 2.2 + 2.5
C 2.2+(-2.5)
D 2.2 - (-2.5)
Answers
Answer:
C
Step-by-step explanation:
2.2-2.5
Since a + and a - make a minus if we have 2.2+(-2.5) we would get 2.2-2.5. So C is the anwser.
