Answer:
a. 0.63
b. 0.33
Step-by-step explanation:
Here is a probability question. When two events are independent, it means that the probability of one of the events happening has no effect on the probability on the other happening.
From the question, let P(H) be the probability of passing the history course while P(E) is the probability of passing the English course;
By representation;
P(H) = 0.75
P(E) = 0.84
a) Probability of passing both
This means that he passes history and also passes English;
Mathematically that would be represented as;
P(E) * P(H) = 0.84 * 0.75 = 0.63
b) Probability that he passes exactly one of the courses.
This means that he passes one and he fails the other. Mathematically, we should remember that the probability of an event not happening = 1 - probability of the event happening
Let P’(H) and P’(E) be the probability of failing the history and english courses respectively;
Thus; P’(H) = 1 - 0.75 = 0.25
while P’(E) = 1-0.84 = 0.16
Now the probability that he passes exactly one means he passes one and fails the other.
So in this case, we have two scenarios; He passes History and fail English or passes English and fails history.
Thus, we have;
[P(H) and P’(E) or P(E) and P’(H)]
In probability, and means multiplication while or means addition; thus we have;
{P(H) * P’(E) } + {P’(H) * P(E)}
= ( 0.75 * 0.16) + (0.25 * 0.84)
= 0.12 + 0.21 = 0.33
What is 3.08 x 12.4 ?
Answer:
=38.192x
Step-by-step explanation:
I hope this helps you
On the basis of data provided by a salary survey, the variance in annual salaries for seniors in public accounting firms is approximately 2.3 and the variance in annual salaries for managers in public accounting firms is approximately 11.3. The salary data were provided in thousands of dollars. Assuming that the salary data were based on samples of 25 seniors and 26 managers, test to determine whether there is a significant difference between the variances of salaries for seniors and managers. At a 0.05 level of significance, what is your conclusion? State the null and alternative hypotheses.
Answer:
The null hypothesis is [tex]H_o : \sigma^2_1 = \sigma^2 _2[/tex]
The alternative hypothesis is [tex]H_a : \sigma^2_1 \ne \sigma^2 _2[/tex]
The conclusion is
There is no sufficient evidence to conclude that there is a difference between the variances of salaries for seniors and managers
Step-by-step explanation:
From the question we are told that
The variance for seniors is [tex]s ^2_1 = 2.3[/tex]
The variance for managers is [tex]s ^2_2 = 11.3[/tex]
The first sample size is [tex]n_1 = 25[/tex]
The second sample size is [tex]n_2 = 26[/tex]
The significance level is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \sigma^2_1 = \sigma^2 _2[/tex]
The alternative hypothesis is [tex]H_a : \sigma^2_1 \ne \sigma^2 _2[/tex]
Generally the test statistics is mathematically represented as
[tex]F = \frac{s_1^2}{s_2^2}[/tex]
=> [tex]F = \frac{2.3}{11.3}[/tex]
=> [tex]F = \frac{2.3}{11.3}[/tex]
=> [tex]F = 0.2035[/tex]
Generally the p-value is obtain for the F-distribution table (Reference - Free statistic calculator ) at a degrees of freedom
[tex]df_1 = 25 - 1[/tex]
[tex]df_1 = 24[/tex]
and [tex]df_2 = 26 - 1[/tex]
[tex]df_2 = 25[/tex]
The p- value is
[tex]p-value = f_{0.2035,24,25} = 0.99989[/tex]
So from the calculation we see that
[tex]p-value > \alpha[/tex]
So we fail to reject the null hypothesis
What is 1 6/8 of 16
Answer:
I'm pretty sure its 28?
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
16/8 means 2.
And 2 is multiplied by 16.
which means 32.
Can someone help me with this problem: Solve m/5 =4. m =
Answer:
m is equal to 20.
Step-by-step explanation:
20/5=4
Calvin practiced converting standard notation to scientific notation by completing the 10 problems
in the table shown. Unfortunately, his teacher noticed Calvin made mistakes on 7 out of the 10
problems. Find his mistakes and correct them in the second table below.
STANDARD NOTATION
SCIENTIFIC NOTATION
1) 76,450,000
7.645 x 10
2) 0.000327
3.27 x 104
3) 34,000
3.4 x 104
4) 116,000,000,000
1.16 x 10°
5) 0.024
24 x 10
6) 2,800
2.8 x 10
7) 100
1 x 10
8 0.0000099
9.9 x 10
9 C00,000
9 x 10
10) 0.00635
63.3 x 10
I
Answer/Step-by-step explanation:
The 7 problems Calvin made mistakes in are as follows:
1. 76,450,000
We are moving the decimal point to our left by 7 decimal places. Therefore, the exponent of 10 should be 7 not 8.
The correct scientific notation = [tex] 7.645*10^7 [/tex]
2. 0.000327
We move the decimal point to our right by 4 decimal places. Since we are counting to our right, the exponent of 10 should be -4 not 4.
The correct scientific notation = [tex] 3.27*10^{-4} [/tex]
4. 116,000,000,000
Number of decimal places moved to our left = 11
The exponent of 10 should be 11 not 9.
The correct scientific notation = [tex] 1.16*10^11 [/tex]
5. 0.024
Number of decimal places moved to our right = 2
Since we are moving to our right, exponent of 10 = -2.
Calvin made a mistake here by not placing a decimal point in the first number after the last 0 to our right.
The correct scientific notation = [tex] 2.4*10^{-2} [/tex]
7. 100
There are just 2 zeros.
Therefore, the exponent of 10 = 2 not 3.
correct scientific notation = [tex] 10^2 [/tex]
9. 900,000
Number of decimal places moved to our left = 5
Since we are moving to the left, the exponent of 10 = 5 not -5
The correct scientific notation = [tex] 9*10^5 [/tex]
10. 0.00633
Number of decimal places moved to our right = 3
The exponent of 10 = -3
Calvin made a mistake by wrongly placing the decimal point.
The correct scientific notation = [tex] 6.33*10^{-3} [/tex]
Evaluate the function f(x) = -212-3x + 5 for the input value-3.
Answer:
f(-3)=-198
Step-by-step explanation:
Function: f(x) = -212-3x + 5
x=-3
First substitute -3 for x:
f(-3)=-212-3(-3)+5
Next multiply -3 by -3:
-3*-3=9
f(-3)=-212+9+5
-212+9=-203
f(-3)=-203+5
-203+5=-198
f(-3)=-198
I hope this helped you.
Please mark Brainliest.
Have a great day!!!!!!!!!!!!!!!!!!!!
X If $7500 was compounded annually for 8 years at a rate of .23% how much will it be
worth?
Correct answers
7639.11
7639.12
7,639.11
7,639.12
Answer:
$7639.12
Step-by-step explanation:
We use the compound formula for accrued value (A) for a principal P deposited at an annual rate "r" over t years
[tex]A = P (1+r)^t[/tex]
In our case, with the given information, the formula becomes:
[tex]A = P (1+r)^t\\A=7500 \,(1.0023)^8\\A = 7639.11602[/tex]
which rounded to the nearest cent gives: $7639.12
A monthly service fee to download e-books is $4.95 plus $3.99 per book downloaded write an equation that represents the total cost see in a month when B books are downloaded explain how your equation represents the problem
Answer:
c=4.95+3.99b
Step-by-step explanation:
When there are no books, the service fee still applies, so when b=0, c=$4.95.
For each book downloaded $3.99 is added to the charge. The service fee is only charged once a month.
c=4.95+3.99b
the sum of two fractions is 31/4 if one of them is 17/6 find the other
If Jan sells 2,500 glow sticks on the Fourth of July at $1.99 each, what will her total profit be if each stick cost her $0.87?
Answer:
This could be wrong I would get a second opinion
The profit would be 2800
Step-by-step explanation:
$1.99 - .87 = $1.12
$1.12 x 2500 = 2800
How do you write 3 √ x 2 as an exponential form?
Answer:
log (2x)=3
log (3x)=2
3=log(x)
Ten boxes of paper weigh 260 pounds. Mrs. Thomas
ordered 24 boxes of paper for the science department.
How many pounds do 24 boxes of paper weigh?
Answer:
624 pounds
Step-by-step explanation:
If 10 boxes of paper weigh 260 pounds, one box of paper is equal to 26 pounds because 260 divided by 10 is equal to 26. If one box equals 26 pounds, 24 boxes times 26 pounds each is equal to 624 pounds.
What is 1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X0
Answer: zero
Step-by-step explanation: anything multiplied by zero ALWAYS equals zero.
Answer:
0
Step-by-step explanation:
Anything times zero will equal zero!
The cost of a yoga class is $15 per session. In addition,
a mat fee of $2 is charged per session. Which of the
following represents the total cost in dollars, of the
class and mat for y sessions?
You're charged $15 + $2 or $17 per session
If y = # of sessions,
$17y represents the total amount of dollars charged for y sessions
The total cost in dollars, of the class and mat for y sessions will be 17y. Then the correct option is C.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The cost of a yoga class is $15 per session.
In addition, a mat fee of $2 is charged per session.
Then the total cost in dollars, of the class and mat for y sessions will be
C = 15y + 2y
C = 17y
Then the total cost in dollars, of the class and mat for y sessions will be 17y.
Then the correct option is C.
The complete question is attached below.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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What is the greatest whole number that rounds to 1,900 when rounded to the nearest hundred? The least whole number?
Answer:
When we round to the nearest hundred, we must look at the tens digit.
If the tens digit is 5 or lager, then we round up (we add 1 to the hundreds digit and after that, all the digits are zero.)
If the tens digit is smaller than 5, then we round down (the hundreds digit remains unchanged and after that, we complete with zeros.)
Then, the rounded number is 1900.
a) The greatest whole number that rounds to 1900 would be a number that is rounded down, then it will be:
1949
b) The least whole number that is rounded to 1900 is a number that we round up, this is:
1850
Largest: 1,949
This number is largest because it is closest to 1,900 without the number in the tens place being greater than 5, and the number in the tens place is bigger than 5
Smallest: 1,850
This number is smallest because any smaller number, like 1,849, would round to 1,800, and the number in the tens place is smaller than 5.
Have a good day!
Subtract 25.45 from 51.82. Give your answer to 2 decimal places.
Round your answer to one decimal place.
Answer:
Answer is, 26.4
Step-by-step explanation:
By subtracting 51.82 by 26.37, you're left with a total of 26.37, and by rounding that to the tenths place, you get 26.4
Please help it is due right now 7^8/7^6 =?
Answer:
7^2 or 49
hope this helped
What is the equation of the line that is parallel to Y= -2/3x+4 and that passes through (-2, -2)
Answer:
y = -2/3x-10/3
Step-by-step explanation:
Y= -2/3x+4
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is -2/3
Parallel lines have the same slope
y = -2/3 x+b
Substitute the point into the equation
-2 = -2/3 (-2) +b
-2 = 4/3 +b
Subtract 4/3 from each side
-6/3 -4/3 = 4/3 -4/3 +b
-10/3 = b
y = -2/3x-10/3
What is the value of x?
Answer:
2x+2=58
2x=58-2=56
divide both sides by 2
x=28
4.33 Always plot your data! Table 4.1 presents four sets of data prepared by the statistician Frank
Anscombe to illustrate the dangers of calculating without first plotting the data.12
TABLE 4.1 Four data sets for exploring correlation and regression
Data Set A
10
8
13
9
11
14
6
12
5
y 8.04
6.95
4.82
5.68
7.58
13
8.818.33 9.96 7.24 4.26
11 14 6
10.84
12
10
8
9
Data Set B
y
9.14
8.14
8.77
8.10
6.13
3.10
9.13
7.26
4.74
8.74
13
9.26
11
2
Data Set C
10
00
8
9
14
6
4
12
5
y 7.46
6.77
7.81
8.84
5.39
8.15
6.42
12.74
8
7.11
8
6.08
8
5.73
19
8
8
8
8
Data Set D
8
8
8
y 6.58 5.76 7.71
8.848.47 7.04 5.25 5.56
791
6.89
12.50
a. Without making scatterplots, find the correlation and the least-squares regression line for all four data
sets. What do you notice? Use the regression line to predict y for x = 10.
b. Make a scatterplot for each of the data sets and add the regression line to each plot.
c. In which of the four cases would you be willing to use the regression line to describe the dependence of
y on ar? Explain your answer in each case.
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?
A. Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
B. Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
C. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
D. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Answer:
A
Step-by-step explanation:
Slope is positive 2 so we have to move 1 point right and 2 points up.
Secondly y-intercept is -6 so ,point is (0,-6)
-1 2/3 and -1/4 as an inequality
B.Give another name for plane C
C. Name three collinear points:
D. Name a line segment:
E. Name the ray that is opposite AD:
Answer: B) plane FDE
C) points D, A, and E
D) [tex]\overline{FA}[/tex]
E) [tex]\overrightarrow{AE}[/tex]
Step-by-step explanation:
B) A plane is identified by 3 points where at least one of them is not on the same line as the other two.
C) Collinear means "same line".
D) A segment is represented by a bar over the letters of the two points.
E) Ray AD has a starting point at A and passes through D. The opposite ray will start at point A and go in the opposite direction.
Which algebraic expression represents the phrase “six less than a number”? 6x - x x - 6 6 - x x - 6x
Answer:
B. x-6
Step-by-step explanation:
The algebraic expression is x-6. Therefore, option B is the correct answer.
We need to find the algebraic expression for the phrase "six less than a number"
What are Algebraic Expressions?An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.
Now, for the given statement "six less than a number".
Let the unknown number be x.
So, six less than a number is x-6.
Therefore, option B is the correct answer.
To learn more about the algebraic expression visit:
https://brainly.com/question/19245500.
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please help my brain can’t comprehend anything right now
i think its 10
if not plz correct me
Answer:
0
Step-by-step explanation:
You distribute the 2 into the parenthesis, so 2•5x=10x and 2•4=8. So now you have 10x+8=8. You want to get the x alone so you have to bring the 8 on the left side to the ride and you do that by subtracting 8 in both sides. So 10x+8(-8)=8(-8). That turns into 10x=0 because 8-8=0. and now you want to leave the x alone so you divide by 10 so 10x/10=0/10 and so the 10x/10=x and 0 divided by anything is zero. Therefore, x=0
A rectangular yard measuring 32ft by 50ft is bordered (and surrounded) by a fence. Inside, a walk that is 3ft wide goes all the way along the fence. Find the area of this walk. Be sure to include the correct unit in your answer.
Answer:
528 feet squared
Step-by-step explanation:
the yard has a width of 32 feet and a length of 50 feet. -- area of the yard is 1600 ft sq. The walkway is 3 feet wide throughout the fence, meaning you add 6 to 32 and 6 to 50 to get your measurements for the yard + fence area. -- is equal to 2128
Then you subtract the total fence + yard area from the yard area -- 2128 - 1600 which equals 528 feet sq.
Without using a calculator, choose the statement that best describes the value of the square root of 86
The value of squre root 86 is between 9 and 9.5
The value of squre root 86 is between 9.5 and 10
The value of squre root 86 is between 10 and 10.5
The value of squre root 86 is between 10.5 and 11
Answer:
Step-by-step explanation:
The value of square root 86 is between 9 and 9.5
find the midpoint of the line segment with the given endpoints (-4,4), (5,-1)
Answer:
-4+5/2 , 4+(-1)/2
1/2 , 3/2
20 points
Tina is saving to buy a notebook computer. She has two options. The first option is to put $300 away
initially and save $20 every month. The second option is to put $100 away initially and save $40 every
month. After how many months would Tina save the same amount using either option? How much
would she save with either option?
After
months, Tina will save $
with either option.
Answer:
10 months
$500
Step-by-step explanation:
Option 1
300 + 20x, where x is the number of monthsOption 2
100 + 40xBoth options reveal same amount:
300 + 20x = 100 + 40x300 - 100 = 40x - 20x200 = 20xx = 200/20x= 10 monthsCost of notebook:
300 + 20*10 = 300 + 200 = $500Plz answer this i will mark u brianiest
Answer:
56 is 80% of 70
Step-by-step explanation:
Number line on top, two ticks are 35 & 56.
Number line on bottom, two ticks are 50% & 80%.
So, 56 is 80% of 70
Hope this helps!
Plz give brainliest if possible!
