Answer:
E. 0.1401
Step-by-step explanation:
The mean here has been given as 20.9
The standard deviation sd = 4.7
Random sample n = 32
Sd/√n
= 4.7/√32
= 0.8309
Probability of x less than 20
= 20-20.9/0.8309
= -0.9/0.8309
= -1.083
P(z<-1.083)
When we go to the z table
= 0.1401
Therefore the probability is 0.1401 and the answer to this question is E.
A local insurance agent visits the high school and tells the students that his insurance company will give students a 7% discount on liability insurance, PIP. comprehensive insurance, and collision insurance for three years if they take a defensive driving course. Maria spends $1,437.00 on her auto insurance annually.
The question is vague, but I'll try and help.
Answer:
She saves $100.59 a year.
Step-by-step explanation:
Saving 7% of $1,437.00 each year.
7% of $1,437.00 (0.07 x $1,437.00) = $100.59
If it asks how much she saves over a certain number of years, just multiply 100.59 times how many years it asks for. Hope this helps.
The required, if Maria takes the defensive driving course and receives the 7% discount on her auto insurance, she will save a total of $301.77 over three years.
What is the investment?Investment is defined as when an individual spends money on something that returns him or her higher money than the money they invested.
Here,
If Maria spends $1,437.00 on her auto insurance annually and she takes the defensive driving course, she will get a 7% discount on her liability insurance, PIP, comprehensive insurance, and collision insurance for three years.
To calculate the amount of the discount, we first need to find 7% of $1,437.00:
Discount = 0.07 × $1,437.00 = $100.59
So, the amount of the discount that Maria will receive annually is $100.59.
To find the total savings over three years, we multiply the annual discount by three:
Total savings = $100.59 × 3 = $301.77
Therefore, if Maria takes the defensive driving course and receives the 7% discount on her auto insurance, she will save a total of $301.77 over three years.
Learn more about investments here:
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How to I write 1 2/3 as an improper fraction help ASAP
someone help me out please
Answer:
The answer would be B :)
Step-by-step explanation:
6. A ball is selected at random from a bag containing
3 red balls, 4 black balls and 5 green balls. The
first ball is replaced and a second is selected. Find
the probability of obtaining:
(a) two red balls,
(b) two green balls.
Answer:
two green balls
Step-by-step explanation:
because of many reasons boy
Answer:
a. 1/16 b. 25/144
Step-by-step explanation:
Since the bag does not change each time, the probability stays the same. To get the desired outcome both times, we must square the probability.
Robert pays $32.04 for 6 student tickets to the basketball game. What is the cost of each student ticket?
Answer:
$5.34
Step-by-step explanation:
Step-by-step explanation:
$5.34
hope it helps!
......
What’s 1/4 +2/3 or 3/4+2/3
Answer:
1/4+2/3=11/12
3/4+2/3=17/12
Step-by-step explanation:
A textbook store sold a combined total of 392 physics and psychology textbooks in a week. The number of physics textbooks sold was three times the number of psychology textbooks sold. How many textbooks of each type were sold?
Answer:
Psychology textbooks = 98 and physics textbooks = 294
Step-by-step explanation:
Let there are x psychology textbooks sold.
No of physics textbooks sold = 3x
ATQ,
A textbook store sold a combined total of 392 physics and psychology textbooks in a week.
x + 3x = 392
4x = 392
x = 98
It means there are 98 psychology textbooks sold and 3x = 3(98) = 294 physics textbooks sold.
3. Given that f(x) = 1/ax - 3 and f(x)^-1 = 2x – 6b.
a. Find the values of a and b.
Answer:
a = 2, b = -1
Step-by-step explanation:
type the formula into desmos and adjust the sliders until you have a symmetrical pattern
An Olympic-sized swimming pool holds 2,500,000 liters of water. How many gallons of water does an Olympic-sized swimming pool hold? Round your answer to the nearest tenth.
Answer:
The Olympic sized swimming pool hold 660501.9 gallons of water.
Step-by-step explanation:
Given that:
Water hold by an Olympic sized swimming pool = 2500000 liters
We know that;
1 gallon = 3.785 liters
Therefore,
We will divide the total number of water in liters by 3.785 to find the number of gallons.
Gallons of water in pool = [tex]\frac{2500000}{3.785}[/tex]
Gallons of water in pool = [tex]660501.9[/tex] gallons
Hence,
The Olympic sized swimming pool hold 660501.9 gallons of water.
IM DOING THIS IN CLASS HELP! Yesterday, there was 4 inches of snow on the ground. It snowed overnight and now there is 6 inches of snow on the ground. What integer represents the amount of snow on the ground now
Answer:
6
Step-by-step explanation:
6 inches of snow is an amount above ground, so it is represented by a positive integer.
Answer: 6
Answer:
Firstly, it was 4 inches
After snowing it becomes (4+6)= 10 inches;
From ground it is 10 inches of snow
So, 10 inches is the right answer.
Three friends are participating in a
charity run. Joy ran 6.8 miles, Simón ran
5.5 miles, and Kita has run 8.4 miles.
Part A
Complete the bar diagram to find the
total distance the friends have run.
Part B
If each friend ran the same distance of
the charity run, how many miles would
each friend run? Complete the bar
diagram to help you
Part C
It took Simón 33 minutes to run
5.5 miles. Did he run faster or slower
than 1 mile every 5 minutes? How can
you tell?
Answer:
Part A. 20.7
Part B. 6.9, 6.9, 6.9
Part C. Slower. 33/5.5= 6. 6 minutes is greater than 5 minutes so Simon ran slower than 1 mile every 5 minutes.
Step-by-step explanation:
Complete this item.
Identify _1 and 22. Select all that apply of the following terms: acute, right, obtuse, adjacent, vertical,
complementary, supplementary.
Answer:
Angle 1 is obtuse, and adjacent. Angle 2 is obtuse, and is also adjacent.
Step-by-step explanation:
Both seem to be obtuse since they're not right triangles, and they're both adjacent because they have two angles that share the same vertex. Hope this helped :)
The graph below shows the relationship between the number of dollars a worker earns and the number of hours worked.
Which statement best describes the rate of change for this situation?
A. The worker earns $40 per hour.
B. The worker earns $8 per hour.
C. The worker earns $10 per hour.
D. The worker earns $320 per hour.
Option B - The worker earns $8 per hour is the correct alternative.
We have a graph that shows the relationship between the number of dollars a worker earns and the number of hours worked.
We have to select the statement which best describes the rate of change for this situation.
How do you calculate the Slope of Line ?The slope of a line can be calculated using -
[tex]$m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
According to the question, we have two coordinate points marked on the graph -
P(20, 60)
Q(40, 320)
Using the formula to calculate the slope of a line, we get -
[tex]$m = \frac{320-160 }{40 -20 }[/tex]
m = 8
We know that the slope of the line represents the rate of change of y with respect to x. Therefore, the worker earns $8 per hour.
Hence, Option B is correct.
To solve more questions on Rate of change, visit the link below-
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god loves you!!!!!!!!!
Answer:
He loves you too!!
Step-by-step explanation:
If the equation 5(3x + 7) – 1 = 3(52 + k) + 4 has infinitely many solutions, what is the value of k?
Answer:
k = 5x - 42
Step-by-step explanation:
Which of the following is a solution of x^2 -10x = -36?
-5 - i √10
5 + i √61
-5 - i √11
5 + i √11
Please help
9/5= ?÷?
19/28=?÷?
1 3/5=?÷?
the “/“ sign means division, what kind of question even is this.
9/5= 9÷5
19/28=19÷28
So for the last one, we can turn it into an improper fraction which is:
8/5 = 8÷5
Esther had five times as many cards as Richard. Esther gave 1/4 of her cards to Richard. Then, Richard gave 1/6 of his cards to Esther in return. In the end, Esther had 90 more than Richard. How many cards did Esther have at first?
Answer:
Esther has 200, Richard has 40
Esther gives Richard 50 cards. Now they have
Esther: 150, Richard: 90
Richard gives Esther 15, so they now have
Esther: 165, Richard 75
Step-by-step explanation:
Answer:
Esther had 200 cards at first
Step-by-step explanation:
Variables:
Esther: 5r
Richard: r
Equalities:
e = 5r
e - e/4 + 1/6 (r + e/4) = 5/6 (r + e/4) + 90
Solve:
Replace e with 5r and solve for r:
e - e/4 + 1/6 (r + e/4) = 5/6 (r + e/4) + 90
5r - 5r/4 + 1/6 (r + 5r/4) = 5/6 (r + 5r/4) + 90
5r - 5r/4 + 1/6 (2.25r) = 5/6 (2.25r) + 90
5r - 1.25r + 0.375r = 1.875r + 90
5r - 1.25r + 0.375r - 1.875r = 90
2.25r = 90
r = 40
Esther: 5r = 5(40) = 200
Richard: r = 40
A classmate writes and incorrect proportion to find x. Explain and correct the error.
Answer:
x / 9 = 12 / 15
Step-by-step explanation:
Correct proportion by given same angle;
x / 9 = 12 / 15
x = (12)(9) / 15
x = 108 / 15
x = 7.2 unit
NEED HELP ASAP!!!!Instructions: Using the following image, solve for the trigonometry ratios of
Answer:
17
8/17
Step-by-step explanation:
x=[tex]\sqrt{8^{2} +15^{2} } =17[/tex]
sin∠D = [tex]\frac{8}{17}[/tex]
What is 4 2/5 times 2 2/3
WILL GIVE POINTS!! Must answer!
What is the range in interval notation?
Answer:I think it’s option 2, light blue
Step-by-step explanation:
Please explain to me how to do this question with right answer
Answer:
[tex]\boxed {\boxed {\sf b=8}}[/tex]
Step-by-step explanation:
The Pythagorean Theorem is:
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse.
In this triangle, 6 and b are the legs, because they form the right angle.
10 is the hypotenuse, because it is opposite the right angle. Plus, it's the longest side.
[tex]a=6 \\b=b\\c=10[/tex]
Substitute the values into the Theorem.
[tex]6^2+b^2=10^2[/tex]
Evaluate the exponents.
6²= 6*6= 36[tex]36+b^2=10^2[/tex]
10²= 10*10= 100[tex]36+b^2=100[/tex]
Subtract 36 from both sides of the equation to isolate the variable (b).
[tex]36-36+b^2=100-36[/tex]
[tex]b^2=100-36[/tex]
[tex]b^2=64[/tex]
b is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.
[tex]\sqrt{b^2}=\sqrt{64[/tex]
[tex]b=\sqrt{64}[/tex]
[tex]b=8[/tex]
In this triangle, b (the other leg) is equal to 8
Definition of intersect in geometry.
Answer:
Intersect means two lines met together and formed a point.
Step-by-step explanation:
None
Which expression would the model be most helpful in solving?
An area model has 5 shaded parts and 1 unshaded part.
This question is awfully vague without any images of the equation to back it up, sorry
If f(x)=|x−5|+2, find f(3)
Answer:
f(3) = 4
Step-by-step explanation:
The absolute value, |X|, is defined as the magnitude of a number without regard to its sign. For example, absolute value of 1 is 1 and absolute value of -1 is 1.
Thus, based on the function:
f(x)=|x−5|+2
f(3) = |3−5|+2
f(3) = |-2|+2
-Absolute value of -2 = 2-
f(3) = 2+2
f(3) = 4whoever knows what 9+10 is i will reward them
Answer:
19
Step-by-step explanation:
HELP!!!!!!!!!!
The perimeter of a rectangle is 44 inches. If the width of the rectangle is 10 inches, what is the length?
A.
12 inches
B.
22 inches
C.
34 inches
D.
24 inches
P .= 2L + 2W at W= 10, P= 44
44 = 2L + 2 (10)
44 = 2L + 20
44-20 = 2L
24 = 2L
L= 24/2
L= 12cm
MY HRW ‼️ Solve the equation. You may find using algebra tiles helpful in solving this problem.
X +6=-X-6
Answer:
x=-6
Step-by-step explanation:
x+6=-x-6
(-6)+6=(6)-6
0=0
Answer:
Solve the equation. You may find using algebra tiles helpful in solving this problem. X +6=-X-6 X= -6
Is this true or false ??