Answer:
I believe it is 12
I'm not 100% sure but if its right let me know
Sry if its not :/
Find the area under the standard normal curve to the left of z = 1.5
Answer:
0.9332
Step-by-step explanation:
Using the normal distribution, it is found that the area under the standard normal curve to the left of z = 1.5 is of 0.9332.
-----------------------------------------
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X, which also represents the area under the normal curve to the left of Z.Looking at the standard normal table:
z = 1.5 has a p-value of 0.9332.Thus, the area under the standard normal curve to the left of z = 1.5 is of 0.9332.
A similar problem is given at https://brainly.com/question/6316394
6. At a bus interchange, a number of passengers boarded a bus. At the first
bus stop, of the passengers alighted the bus and 6 people boarded the
bus. At the 2nd bus stop, of the passengers alighted and 10 passengers
boarded the bus. There were 24 passengers on the bus when it left the
2nd bus stop. How many passengers boarded the bus at the interchange?
Answer:
The answer is given below
Step-by-step explanation:
Let the number of passengers that boarded the bus at the interchange be x.
At the first bus stop, 1/4 of the passengers alighted the bus and 6 people boarded the bus.
Therefore The number of passengers when the bus left the first bus stop = [tex]x-\frac{1}{4}x +6=\frac{3}{4}x+6[/tex]
At the 2nd bus stop, 8/15 of the passengers alighted and 10 passengers boarded the bus.
Therefore The number of passengers when the bus left the second bus stop
[tex]=\frac{3}{4}x+6-\frac{8}{15}( \frac{3}{4}x+6)+10=\frac{3}{4}x+6-\frac{8}{20}x-3.2+10\\\\=\frac{7}{20}x+12.8[/tex]
Given that there were 24 passengers on the bus when it left the 2nd bus stop
[tex]\frac{7}{20}x+12.8=24\\7x+256=480\\7x=480-256\\7x=224\\x=32[/tex]
Therefore 32 passengers boarded the bus at the interchange
Cecilia made an envelope to mail a letter. She colored the regular trapezoid flap on the bottom of the envelope blue, as shown. What is the area of the blue flap of the envelope? 14 Inches squared 18 Inches squared 45 Inches squared 90 Inches squared
Answer:
The correct option is:
14 inches
Step-by-step explanation:
The question is incomplete because the picture of the flap is not shown in the question nor the measurements are given. First lets complete the question. The figure was this question is attached below.
We can see that the bottom width of the trapezoid is 9 inches, the top width of the trapezoid is 5 inches, and it has a height of 2 inches.
The area of trapezoid is given as:
Area = ((Top width + Bottom width)/2) · h
Area = ((9+5)/2) · 2
Area = (14/2) · 2
Area = 7 · 2
Area = 14 inch²
Answer:
14
Step-by-step explanation:
A portion of the Quadratic Formula proof is shown. Fill in the missing reason. Statements Reasons ax2 + bx + c = 0 Given ax2 + bx = −c Subtract c from both sides of the equation x squared plus b over a times x equals negative c over a Divide both sides of the equation by a x squared plus b over a times x plus the quantity b over 2 times a squared equals negative c over a plus the quantity b over 2 times a squared Complete the square and add the quantity b over 2 times a squared to both sides x squared plus b over a times x plus the quantity b over 2 times a squared equals negative c over a plus b squared over 4 times a squared Square the quantity b over 2 times a on the right side of the equation x squared plus b over a times x plus the quantity b over 2 times a end quantity squared equals negative 4 times a times c over 4 times a squared plus b squared over 4 times a squared Find a common denominator on the right side of the equation x squared plus b over a times x plus the quantity b over 2 times a squared equals b squared minus 4 times a times c all over 4 times a squared Add the fractions together on the right side of the equation quantity x plus b over 2 times a end quantity squared equals b squared minus 4 times a times c all over 4 times a squared ? Rewrite the perfect square trinomial as a binomial squared on the left side of the equation Take the square root of both sides of the equation Multiply both sides of the equation by 2 Square the left side of the equation
Answer:
Find a common denominator on the right side of the equation
Step-by-step explanation:
I was taking the test and couldn't find the answer to this question anywhere so let me help you out...
abidemiokin provided a wonderful step-by-step explanation for solving the formula, but left out the actual answer for the question which is what I'm here for. I read through abidemiokin's explanation and reviewed my options before choosing the best answer. As you see in step 5 of my edited version of abidemiokin's explanation the missing step is there. In the provided question we see steps 1,2, 3, and 4 being identical to those in the explanation below. From this, it is clear the next step (step 5) would be the next step, and as it is one of the options we can trust that it is correct.
(If you still have doubts then trust the fact that I took the test and the answer I provided above was indeed correct.)
Given the quadratic equation ax²+bx+c = 0, to derive the quadratic formula from the equation, the following steps must be followed;
ax²+bx+c = 0
Step 1: Subtract c from both sides
ax²+bx+c-c = 0-c
ax²+bx = -c
Step 2: Divide both sides of the equation by a
ax²/a + bx/a = -c/a
x² + bx/a = -c/a
Step 3: Complete the square and add the quantity (b/2a)² times a squared to both sides
x² + bx/a + (b/2a)² = -c/a + (b/2a)²
Step 4: Square the quantity b/2a on the right side of the equation
x² + bx/a + (b/2a)² = -c/a + b²/4a²
Step 5: Find a common denominator on the right side of the equation which is 4a²
x² + bx/a + (b/2a)² = -4ac/4a² + b²/4a²
Step 6: Add the fractions together on the right side of the equation
x² + bx/a + (b/2a)² = (-4ac+ b²)/4a²
Note: The fraction at the right-hand side of the equation is to be added together not multiplied as shown in the question.
Step 7: The equation on the left is to be written as a perfect square as shown
(x+b/2a)² = (-4ac+ b²)/4a²
Step 8: Take the square root of both sides
√(x+b/2a)² = √ (-4ac+ b²)/4a²
(x+b/2a) = √(-4ac+ b²)/2a
Step 9: subtract b/2a from both sides
x+b/2a - b/2a = -b/2a + √(-4ac+ b²)/2a
x = -b/2a + √(-4ac+ b²)/2a
Step 10: Add the fractions together on the right-hand side
x = -b±√(-4ac+ b²)/2a
This gives the required equation
Answer: A Find a common denominator on the right side of the equation
Step-by-step explanation: Took the test of FLVS
he price of a pair of headphones is $39.99 before tax. Dalton bought the headphones for 30% off. He then paid 6% sales tax on the discounted price. Part A: How much did Dalton pay in sales tax? Show all work and steps in your solution. (5 points) Part B: What is the total amount that Dalton paid for the headphones? Show all work and steps in your solution
Answer: I think it’s $1.80
Step-by-step explanation:
Sorry if I’m wrong
Answer:
Firstly, divide the tax rate by 100: 6/100 = 0.06 (tax rate as a decimal). Note: to easily divide by 100, just move the decimal point two spaces to the left.
Now, find the tax value by multiplying tax rate by the before tax price:
tax = 39.99 × 0.06
tax = 2.4 (tax value rouded to 2 decimals)
Add tax to the before tax price to get the final price:
The final price including tax = 39.99 + 2.4 = 42.39
Step-by-step explanation:
A survey of students' pets were taken. If [tex]\frac{1}{4}[/tex] of the students had a dog only, 20% had a cat only, 15% had multiple pets, and 0.08 had pets other than cats or dogs. What fraction of the students did not have a pet? PLS SHOW WORK!
Answer:
32% of the students did not have a pet.
Step-by-step explanation:
From the total students (100%):
1/4 of them had a dog only, [tex]\frac{1}{4}=0.25=25\%[/tex]. Then, 25% had a dog only.20% only had a cat.15% had multiple pets.0.08=8% only had other than cats or dogs.Adding up all these cases, we obtain the proportion of students that had at least one pet: [tex]25\%+20\%+15\%+8\%=68\%[/tex]. Then, 68% of the students did have a pet.The rest of the students [tex]100\%-68\%=32\%[/tex], did not have any pet.
SOLVE and CHECK the following word problem. (6 marks)
The length of a rectangle is 3 m greater than the width. The perimeter is 38 m. What
are the dimensions of the rectangle?
Answer:
x = 8
Step-by-step explanation:
Let us take the breadth as 'x'
breadth = x
length = 3 + x
perimeter = 38m
perimeter of a rectangle = 2 ( l + b )
= 2( x + x + 3 ) = 38
4x + 6 = 38
4x = 38-6
x = 32/4
x = 8
breadth = 8
length = 11
solve the equation [tex]\frac{x}{3} -\frac{3-2x}{6}=\frac{5}{2} x[/tex]
Answer:
x = - [tex]\frac{3}{11}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{3}[/tex] - [tex]\frac{3-2x}{6}[/tex] = [tex]\frac{5}{2}[/tex] x
Multiply through by 6 to clear the fractions
2x - (3 - 2x) = 15x ← distribute and simplify left side
2x - 3 + 2x = 15x
4x - 3 = 15x ( subtract 4x from both sides )
- 3 = 11x ( divide both sides by 11 )
- [tex]\frac{3}{11}[/tex] = x
Answer: x=-3/11
Step-by-step explanation:
PLEASE HELP! The time it takes to drive from Orangeville to the Vaughan Mills Mall is normally distributed with a mean of 52 minutes and standard deviation of 5 minutes. What intervals could you estimate, using the knowledge from this activity that do not include the mean as a max or min? For example, is an interval we could estimate? However, it includes the mean as the maximum of the interval. Another example is as an example of a probability interval that we know from this activity, but it includes the mean as the minimum.
Answer:
P(X≤57) = 84%
P(X≥57) = 16%
P(47≤X≤57) = 68%
P(X≤47) = 16%
P(X≥47) = 84%
Step-by-step explanation:
We know P(X≤52) = 50%, but this includes the mean as a maximum.
We know P(52≤X≤57) = 34%, but this includes the mean as a minimum.
But if we combine them, we get P(X≤57) = 84%.
We could also say P(X≥57) = 16%.
Since normal distributions are symmetrical, we can also show that P(47≤X≤52) = 34%. So P(47≤X≤57) = 68%, P(X≤47) = 16%, and P(X≥47) = 84%.
Drag steps in the given order to evaluate this expression. −3(−3+2)−6
Answer:
See Explanation Below
Step-by-step explanation:
Given
[tex]-3(-3 + 2) - 6[/tex]
Required
Drag the steps
Note that not all steps in the given diagram will be used;
Step 1: Perform Multiplication; 9 + -6 - 6
Step 2: Simplify: -3
Further Explanation:
Step 1 is gotten by opening the bracket;
[tex]-3(-3 + 2) - 6[/tex]
[tex]9 +-6 - 6[/tex]
Step 2 is gotten by solving step 1 further
[tex]9 +-6 - 6[/tex]
[tex]9 - 6 - 6[/tex]
[tex]9 - 12[/tex]
[tex]-3[/tex]
geometry! please help
Answer: 5.2
Step-by-step explanation:
This is known as the heart beat method. Search it up for a better explinations.
Basically you putting 3/x = x/9 and simplifying to get sqrt27.
Search this up and watch the video for a better explination
heartbeat method geometry
Calculate the original price of these items before the
percentage changes shown. Show all of your working.
a) A coat that costs £46.50
after a 7% price reduction
b) A jumper that costs £32.80 after a price increase of
6%
Answer:
50 and 30.94
Step-by-step explanation:
aThe coat cost 46.5 pounds after a 7 percent reduction
so we can write:
46.5⇒ (100-7)⇒ 93 percent x(the initial price) ⇒ 100 percentusing the proprtionality relation:
x= (100*46.5)/93 = 50
so the initial price of the coat is 50 pounds
bThe jumper costs 32.8 pounds after an increase of 6 percent
so:
32.8⇒(100+6)⇒ 106 percent x (the initial price)⇒ 100 percentusing proportionality:
x= (100*32.8)/106 = 30.94
the initial price is 30.94 pounds
Answer:
a. £50
b. £30.94
Step-by-step explanation:
100-7=93
x×93/100=46.50
x×93=46.50×100=4650
x=4650/93=50 £
b.
100+6=106
y×106/100=32.80
y×100=32.80×100=3280
y=3280/106≈30.94£
im gon be posting a lot so helppp
Answer:
It's Rational. Hopes this helps you!
Step-by-step explanation:
How many 4-digit numbers divisible by 5, all of the digits of which are even, are there? WILL MARK BRAINLIEST NEEED ASAP
Answer:
4*5*5*2=200 numbers
Step-by-step explanation:
this is because 2,4,6,8 can be the first digit.
2,4,6,8,0 can be the second same for the third.
2 digits can be divisible by 5 which are 5, 0. If it has a 0 at the end it is divisible by 10 which means it is divisible by 5.
Answer:
100 numbers
Step-by-step explanation:
Since there are four digits, the answer will be the product of four numbers. The first digit has to be either 2,4,6, or 8 because it is a four digit number with all even digits. Same for the next two numbers, but zero is also a possibility. The question asks for a number divisible by 5, so the last digit must be a 0 in order to qualify as an even number. So the answer would be 4*5*5*1 (number of possible digits) which is 100.
Please answer I’m not good with math
Answer: A
Step-by-step explanation:
it's easy
A washer and a dryer cost $708 combined. The washer costs $58 more than the dryer. What is the cost of the dryer?
Answer:
$325
Step-by-step explanation:
Let x be the price of the washer.
Let y be the price of the dryer.
x + y = 708
x = y + 58
Put x as y+58 in the first equation and solve for y.
y + 58 + y = 708
2y + 58 = 708
2y = 650
y = 650/2
y = 325
Put y as 325 in the second equation and solve for x.
x = 325 + 58
x = 383
The cost of the washer is $383.
The cost of the dryer is $325.
Answer:
Step-by-step explanation:
Cost of dryer = $ d
Cost of washer = d + 58
Total cost = $ 708
d + (d + 58) = 708
2d + 58 = 708
2d = 708 - 58
2d = 650
d = 650/2
d = 325
Cost of washer = 325 + 58 = $ 383
Cost of dryer = $ 325
What is the circumference of the circle shown below? (Round your answer to
the nearest tenth.)
A. 93.0
B. 121.2
C. 46.5
D. 76.8
Answer:
C. 46.5
Step-by-step explanation:
The formula for circumfrence is:
C= 2*pi*r
You know that the radius is 7.4 so all you need to do is plug it into the formula and you should get approximately 46.49 or 46.5.
Ordered pair for this point? (The point is circled in Blue)
Answer:
( -3, 1)
........
Answer:
(-3, 1)
Step-by-step explanation:
The point lies on the line x = -3.
The point lies on the line y = 1.
Where both lines intersect, that is the coordinate.
(x, y)
(-3, 1)
(80 pts) Find the probability of selecting two 10's when two cards are drawn (without replacement) from a standard deck of cards.
Answer:
3/663 or 1/221 chance
Step-by-step explanation:
A standard deck of cards contains 52 cards total, 4 suits total. Therefore there are 4 "10"s.
There is a 4/52 (simplified: 1/13) chance to draw a 10 on the first try.
To do it twice there is a 3/51 x 1/13 chance.
X/5-2=11 what is the solution
Answer:
x=65
Step-by-step explanation:
x/5 - 2 = 11
x/5= 11+2
x/5=13
x=13×5
x=65
Answer:
X = 55 is the answer.Step-by-step explanation:
Question = x/5 - 2 = 11
1. Isolate the variable
x/5 - 2 = 11
+ 2 + 2
x/5 = 11
2. Remove the fraction
x/5 = 11
*5 *5
3. Simplify
x = 55
The answer is x = 55.
Hope this helped,
Kavitha
Algebra 1 help please
3x-9≤12
3x≤21
x≤7
-5x+10≤20
-5x≤10
x≥-2
Answer:
X = 4
Step-by-step explanation:
First, You need to rewrite the expression to look like this
9 - 3x = 12
An inequality basically means equals and the next step is to subtract 9 from both sides so it would look like this
3x = 12
Then divide both sides by 3 to get
x = 4
Plzz help, I will mark brainliest m Answer needed fast.
Answer:
A=bh=21·13=273
Step-by-step explanation:
using this formula A=bh
place base in b, and the height or hypotenuse in A
Answer: A~267.96
Step-by-step explanation: Draw a height down from the top of the arrow to the base. USE the formula for the Area of a parallelogram A=bh (base x heght) find height using trig 13sin79 . Then multiply 21 x 12.76
Help ASAP I need this one answered please please please
Answer:
Yes
Step-by-step explanation:
For 2 figures to be similar, the ratio of their corresponding must be the same, as well as their proportion. The simplification of their ratio gives us the scale factor of their corresponding sides. Also, their corresponding angles are congruent.
Looking at polygon LMNO and WXYZ, let's set the ratio of their corresponding side against each other to see if they would be equal to each other.
Thus, we have:
LM/XY = ON/WZ = MN/WZ = LO/ZY
35/10 = 35/10 = 63/18 = 63/18
It would give us a scale factor of 3.5
They are similar.
The answer is:
YES
LMNO ~ WXYZ
Scale factor = 3.5
Given that the triangles shown below are similar, what is the value of X?
Answer:
24
Step-by-step explanation:
Each side from triangle AHM to triangle DPL is divided by 2
32/2 = 16
40/2 = 20
Therefore, 48 / 2 = 24
Answer:
x = 24 (Answer B)
Step-by-step explanation:
Notice that the side lengths of the first (larger) triangle are twice (2x) the corresponding sides of the second (smaller) triangle.
Thus the length of x is half of the corresponding side in the larger triangle, that is: x = half of 48, or x = 24 (Answer B)
There are only red,blue and green counters in a bag. There are 6 red counters,4 blue counters and 8 green counters. Matt takes a counter from the bag at random a) What is the probability that the counter is red.Give your answer in a fraction. b) What is the probability that the counter is not blue.Give the answer as a fraction. pls help.
Answer:
a) 1/3
b) 7/9
Step-by-step explanation:
The first part asks for the probability that Matt takes the red counter.
There are 6 red counters out of total 6+4+8 = 18 counters.
6/18
Simplify the fraction.
= 1/3
The second part asks for the probability that the counter is not blue.
The counters that are blue are 4. Not blue becomes 18-4 = 14. 14 red or green counters out of total 18.
14/18
= 7/9
Answer:
Total outcome = 6 + 4 + 8 = 18
a) Probablity that the counter is red = 6/18 = 1/3
b) Probablity that the counter is blue = 14/18 = 7/9
describe the rule of continuing this sequence 44, 41, 38, 35, 32
Answer:
aₙ= 47 -3n
Step-by-step explanation:
44, 41, 38, 35, 32
This is AP with 1st term of 44 and common difference of -3
nth term of this AP:
aₙ= a₁+(n-1)d= 44+(n-1)*(-3)= 44 - 3n+3= 47-3naₙ= 47 -3nWhat is EF? Please help me on this question.
Answer:
EF = 8
Step-by-step explanation:
FD is an angle bisector and divides the opposite side of the angle into segments that are proportional to the other 2 sides, that is
[tex]\frac{DE}{DG}[/tex] = [tex]\frac{EF}{FG}[/tex] , substitute values
[tex]\frac{24}{54}[/tex] = [tex]\frac{x}{x+10}[/tex] ( cross- multiply )
54x = 24(x + 10) ← distribute
54x = 24x + 240 ( subtract 24x from both sides )
30x = 240 ( divide both sides by 30 )
x = 8
Thus EF = x = 8
Juan is going to take a flight from Orlando, Florida, to Los Angeles, California.
The flight leaves Orlando at 9:15 a.m. Orlando time and arrives in Los Angeles
at 1:20 p.m.Los Angeles time. If Orlando is in the eastern time zone and Los
Angeles is in the Pacific time zone, how long is the flight? Use the following to
help you answer the question 12:00 p.m. eastern time = 11:00 a.m. central
time = 10:00 a.m. mountain time = 9:00 a.m. Pacific time.
A. 7 h 05 min
B. 5 h 15 min
C. 3 h 15 min
D. 4 h 15 min
Answer:
The correct option is A:
A) Time of flight = 7 hours 5 minutes
Step-by-step explanation:
If
For eastern time zone, t = 12:00 pm
Then, pacific time zone , t = 9:00 am
Which means the pacific time lags 3 hours to eastern time
Time of departure = 9:15 am (eastern time)
TIme of arrival = 1:20 pm (pacific time)
Either convert both of them into eastarn time zone or pacific time zone to find the time of the flight. The answer for both will be the same.
Converting both in pacific time zone.
Time of arrival = 1:20 pm (pacific time)
Time of departure = (9:15 am (eastern time) - 3 hours) (pacific time)
Time of departure = 6:15am (pacific time)
Time of flight = Time of arrival - Time of departure
Time of flight = 1:20pm - 6:15am
Time of flight = 7 hours 5 minutes
Multiply 1 and 3/4 × 4/5.One and three-fourths written as an improper fraction is .
The product written as an improper fraction in lowest terms is .
The answer written as a mixed number is .
Answer:
Multiplication:
1 x (3/4 x4/5)
= 3/5
Answer:
7/5 (improper fraction), or 1 2/5 (mixed number)
Step-by-step explanation:
One and three-fourths written as an improper fraction is 7/4.
Now we multiply 4/5 by 7/4. The '4' in each fraction cancels out the '4' in the other fraction, so that we are left with (1/5)(7/1), or 7/5 (improper fraction), or 1 2/5 (mixed number)
1. Write your answer using only
positive exponents.
(3ab^3c^-1)^3
Answer:
[tex](\frac{{3ab^{3}}}{c^{1}} )^{3}[/tex]
Step-by-step explanation:
[tex](3ab^{3} c^{-1} )^{3} =(\frac{{3ab^{3}}}{c^{1}} )^{3}[/tex]