Answer:
Not enough information to answer
What's the question?
1) The probability that an individual is left-handed is 12%. In a randomly selected class of 30 students, what is the probability of finding exactly 4 left-handed students?
2) Sixty-five percent of men consider themselves knowledgeable football fans. If 10 men are randomly selected, find the probability that exactly six of them will consider themselves knowledgeable fans.
Answer:
0.2047
0.2377
Step-by-step explanation:
1.
What we have here is a binomial distribution
Probability p = 0.12
N = number of students in the class = 30
Probability of finding 4 left handers
P(x = 4) = 30C4 x (0.12)⁴ x (0.88)²⁶
= 27405 x 0.00020736 x 0.03602047835
= 0.2047
2.
This is also a binomial distribution
N = 10 p = 0.65
P(of 6 knowledgeable fans)
= 10C6 x (0.65)⁶ x (0.35)⁴
= 210 x 0.0754189 x 0.01500625
= 0.2377
What is the slope of the function f(x) = 6x + 10 *
1
10
6
16
Other:
Answer:
6
Step-by-step explanation:
6 is the slope of the function
What is the equation of a line
that is perpendicular to the line
y = 2x + 1 and passes through the
point (4, 6)?
А y=-2x+6
B y = 2x + 6
c y=-3x+8
D y = 2x + 8
Answer:
[tex]y =-\frac{1}{2}x + 8[/tex]
Step-by-step explanation:
Given
Perpendicular to [tex]y = 2x + 1[/tex]
Pass through [tex](4,6)[/tex]
Required
Determine the line equation
First, we need to determine the slope of [tex]y = 2x + 1[/tex]
An equation is of the form:
[tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
In this case:
[tex]m =2[/tex]
Next, we determine the slope of the second line.
Since both lines are perpendicular, the second line has a slope of:
[tex]m_1 = \frac{-1}{m}[/tex]
[tex]m_1 = \frac{-1}{2}[/tex]
[tex]m_1 = -\frac{1}{2}[/tex]
Since this line passes through (4,6); The equation is calculated as thus:
[tex]y - y_1 = m_1(x - x_1)[/tex]
Where
[tex](x_1,y_1) = (4,6)[/tex]
This gives:
[tex]y - 6=-\frac{1}{2}(x - 4)[/tex]
Open bracket
[tex]y - 6=-\frac{1}{2}x + 2[/tex]
Add 6 to both sides
[tex]y +6- 6=-\frac{1}{2}x + 2+6[/tex]
[tex]y =-\frac{1}{2}x + 8[/tex]
William worked 20 hours and earned $215. If he receives a 4% raise, how much will he earn per hour?
A:$8.60
B:$10.75
C:$11.18
D:$14.75
Answer:
it b I think because he earns 5 a hour
Answer:
B: 11.18$
Step-by-step explanation:
By dividing 215 by 20 you get the amount he earns per hour which is 10.75$. By multiplying 10.75 with 1.04, you get B. So B is your answer.
please help me thanks
part two thinking a number between 1 and 10 but doble the money!
A customer at a store paid $96 for 5 large candles and 7 small candles. At the same store a second customer paid $8 less than the first customer for 4 large candles and 8 smal candies Write a system that could be used find the price in dollars of each large candle, x, and each small candle, Y
Answer:
The system that could be used find the price in dollars of each large candle, x, and each small candle, Y is given as:
5x + 7y = 96...... Equation 1
4x + 8y = 88..... Equation 2
Step-by-step explanation:
From the question:
Let cost of:
large candles = x
Small candles = y
A customer at a store paid $96 for 5 large candles and 7 small candles.
Hence:
5x + 7y = 96...... Equation 1
At the same store a second customer paid $8 less than the first customer for 4 large candles and 8 smal candies
Hence:
4x + 8y = $96 - $8
4x + 8y = 88..... Equation 2
The system that could be used find the price in dollars of each large candle, x, and each small candle, Y is given as:
5x + 7y = 96...... Equation 1
4x + 8y = 88..... Equation 2
Find the unit rate.
You earn $15 in 3/4 of a month. At this rate, how much do you make in 1 month?
Answer:
you make 20 dollars in a month
Step-by-step explanation:
15 is 3/4 a month, unit rate would be 5 dollars a week so therefore a whole month would be 20
A painter uses 1.5 gallons of paint to cover 3/4 of a wall. At this rate, how many gallons of paint does it take to paint the entire wall?
Answer:
[tex]6[/tex]
Step-by-step explanation:
if
[tex] \frac{3}{4} = 1.5 \\ \\ \frac{4}{4} = \frac{4}{4} \times 1.5 \times \frac{4}{3} \\ \\ = 6[/tex]
Write an equation of a line that is parallel to y = x - 7 and passes through the point (-6, -11).
Answer:
y = x - 5
Step-by-step explanation:
Comparing the given y = x - 7 to y = mx + b, we see that the slope is +1.
In y = x + b we replace y with -11 and x with -6 to determine the y-intercept, b:
-11 = -6 + b
Then b must be -5, and so the desired new equation is
y = x - 5
Carly earned some money doing odd jobs last summer and put it in a savings account that earns 5% interest compounded quarterly. After 2 years, there is $400.00 in the account. How much did Carly earn doing odd jobs? * A. 155.90 B. 441.79 C. 390.18 D. 362.16
The difference between 8 forty-sevens and forty-sevens
Solve the system by graphing 3x+y=4 and x-y=4
how did you get that answer tho I gotta show my work
At a sports event, Luke scored 8.65 points. Mel scored 9.2 points. How many more points did Mel score than Luke? * PLZ HELP
Answer:
0.55
Step-by-step explanation:
9.2-8.64=0.55
i hope it helps
A math class surveyed students about their musical preferences an recorded the results in the table. Use tha data wtite a ratio for each comparison in three differents ways.
A) Students who preferer classical to students who prefer echno.
B) Students who prefer hip-hop to total number of students survyed
Table
Music Number .........Students
Rock .................................10
Classical........................... 4
Techno ............................12
Hip-Hop.......................... 15
Contry.............................. 8
Alternative...................... 4
Total Students.............53
Help Please
CE
Debra paid $12.16 for a 4.07-pound bag of shrimp at one store. The following week, she paid $14.99 for a 5.11 -pound bag at another store.
Find the unit price for each bag. Then state which bag is the better buy based on the unit price.
Bound your answers to the nearest cent.
Answer:
the better buy is that from the second store as it is cheaper than that purchased from the first store
Step-by-step explanation:
Given that :
First store :
Amount paid = $12.16
Pounds of shrimps = 4.07
Unit price :
Amount paid / pounds of shrimps
$12.16 / 4.07 = $2.9877
= $2.99 = 299 cents
second store :
Amount paid = $14.99
Pounds of shrimps = 5.11
Unit price :
Amount paid / pounds of shrimps
$14.99 / 5.11 = $2.933
= 2.93 = 293 cents
Hence, the better buy is that from the second store as it is cheaper than that purchased from the first store
Find the sum of the following expressions: (10.2x - 3.6) + (-5.7x - 1.5)
Answer:
0.6
Step-by-step explanation:
-4.5-5.1=0.6
Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Harrison Haulers Plant. Abel knows that absenteeism varies significantly between departments. For example, workers in the wood shop are absent more than those in the tuning department and the size of the departments ranges from 40 to 120 workers. He orders a random sample of 10 workers from each of the six departments. Abel's sample is a
Answer:
disproportionate stratified sample
Step-by-step explanation:
Based on the given information we can say that Abel's sample is a disproportionate stratified sample. This is the case mainly because the department worker population ranges from 40 to 120 workers. This changing population makes the 10 workers that were chosen for the sample not proportionate to the entire population. Therefore, under different population sizes workers have different chances of getting selected for the study which ultimately creates different results.
The length l of a rectangle is decreasing at a rate of 3 cm/sec while the width w is increasing at a rate of 3 cm/sec. When l=5 cm and w=12 cm, find the rates of change of the area, the perimeter, and the lengths of the diagonals of the rectangle. Determine which of these quantities are increasing, decreasing, or constant.
a) The rate of changes of the area of the rectangle is _______ cm^2/sec
Is the area increasing, decreasing, or constant?
b) The rate of change of the perimeter of the rectangle is ____ cm/sec.
Is the perimeter increasing, decreasing, or constant?
c) The rate of change of the length of the diagonals of the rectangle is ____ cm/sec.
Is the length of the diagonals increasing, decreasing, or constant.
Answer:
1) dA/dt = -21 cm²/s and Area is decreasing
2)dP/dt = 0 and perimeter is constant
3) dD/dt = 21/13 cm/s and diagonal is increasing
Step-by-step explanation:
We are given that;
length l of a rectangle is decreasing at a rate of 3 cm/sec.
Thus, dl/dt = -3 cm/sec
Also, the width w is increasing at a rate of 3 cm/sec. Thus;
dw/dt = 3 cm/sec
When l=5 cm and w=12 cm;
A) Area is given by the formula;
A = lw
The rate at which area is increasing is;
dA/dt = l(dw/dt) + w(dl/dt)
Plugging in the relevant values;
dA/dt = 5(3) + 12(-3)
dA/dt = 15 - 36
dA/dt = -21 cm²/s
This is less than 0.thus, A is decreasing.
B) Formula for perimeter is;
P = 2l + 2w
rate of change of perimeter is;
dP/dt = 2(dw/dt) + 2(dl/dt)
Plugging in the relevant values, we have;
dP/dt = 2(-3) + 2(3)
dP/dt = 0
Thus,Perimeter is constant
C) the length of the diagonal of a rectangle is given by;
D = √(w² + l²)
Rate of change of diagonal is;
dD/dt = [2w(dw/dt) + 2l(dl/dt)]/(2√(w² + l²))
2 will cancel out in numerator and denominator to give;
dD/dt = [w(dw/dt) + l(dl/dt)]/(√(w² + l²))
Plugging in the relevant values gives;
dD/dt = [12(3) + 5(-3)]/(√(12² + 5²))
dD/dt = (36 - 15)/13
dD/dt = 21/13 cm/s
This is greater than 0.
Thus, diagonal is increasing.
the temperature at 4 p.m. was -2 °c an hour later the temperature had decreased 3°c what was the temperature at 5:00 pm ?
Answer:
Step-by-step explanation:
3 degrees Celsius
It says at 4 p.m. was -2 degrees C. Then an hour later which would be 5 pm the temperature was 3 degrees C.
I need help for math plz :(
Answer:
Option D
Step-by-step explanation:
Set of data in terms of ordered pairs represents a function when output value of each input value is different.
Option A
Since, for every value of x there is a different value of y, it's a function.
Option B
In each ordered pair, for every value of x there is a different value of y.
Therefore, it's a function.
Option C
From the given graph, for every value of x there is a different value of y.
Therefore, it's a function.
Option D
From the given set of ordered pairs we find for x = 1 there are two values of y (y = 4 and 3).
Therefore, the given set of ordered pairs doesn't represent a function.
Option D is the answer.
Plz help !!!!!! I don’t understand
A book publisher found that the cost to produce 1000 calculus textbooks is $26,300, while the cost to produce 2000 calculus textbooks is $52,900. Assume that the cost C(x) is a linear function of x, the number of textbooks produced. What is the marginal cost of a calculus textbook?
Answer:
$26.60
Step-by-step explanation:
Calculation for the marginal cost of a calculus textbook
Marginal cost =($52,900-$26,300)/(2,000-1,000)
Marginal cost=$26,600/1,000
Marginal cost=$26.60
Or
First step
$52,900=2,000x +c equation (1)
$26,300= 1,000x+c equations (2)
Second step is to subtract equation (1) from equation (2)
$52,900=2,000x +c equation (1)
-$26,300= 1000x+c equations (2)
$26,600=1,000x
Third step is to find the marginal cost
$26,600=1,000x
x=26,600/1,000
x=$26.60
Therefore the marginal cost of a calculus textbook will be $26.60
PLEASE I NEED HELP WITH MATH
Answer:
117
Step-by-step explanation:
Hi, If you were to add 75 to 42, you would get 117. Since a triangle's angles all have to add up to 180, the last angle would be 63. However, you are looking for the outside angle, which would then just be 117. Hope this is right!
LeShawn is arranging a display of shirts at a department store. He wants to dress two mannequins in different colored shirts
Answer:
ok so he needs to buy two different collored shirts
Step-by-step explanation:
3f+2.9=4.4
Please help.
Answer:
f =0.5
Isolate the variable by dividing each side by factors that don't contain the variable.
______________________________
1.) Subtract 2.9 from both sides:[tex]2.9-2.9=[/tex] Cancels Out. [tex]4.4-2.9=1.5[/tex].- We subtract 2.9 from both sides because we need to get rid of any extra numbers on the opposite side of the equal sign. To do so, you do the opposite of what you see: We have a positive 2.9, so we subtract.
Equation at the end of Step 1:
[tex]3f=1.5[/tex].2.) Divide both sides by 3.[tex]3f[/tex] ÷ [tex]3=f[/tex].[tex]1.5[/tex] ÷ [tex]3=0.5[/tex].- We divide 3 from both sides because the 3 is attached to the variable and we need to get the variable alone. So to do so we have to divide by 3 on each side.
3.) Turn the decimal into a fraction: [tex]0.5=\frac{1}{2}[/tex].- 0.5 is equal to [tex]\frac{1}{2}[/tex] as a fraction.
______________________________
A candy shop sells a box of chocolate for $30. Which is the lnropper way to use this sentence?
Answer:
An candy shop sells a box of chocolate for $30
Step-by-step explanation:
I used grammerly this BETTR be right.
Answer:
The improper way is "A candy shop sells chocolates for $30 each
Step-by-step explanation:
CAN someone help me withe dis plz hmmmmmm
Answer:
510
Step-by-step explanation:
please help me asap, i was absent the day we learned this and haven't been able to pick it up
Answer:
Your dead meat then...
Step-by-step explanation:
But I’m pretty sure its b?
sorry if it’s wrong
Answer:
the answer is c took this before