Using the normal distribution, it is found that the z-scores are:
a) z = -1.5
b) z = 1.9
c) z = 0
In normal distribution with mean 'μ' and the standard deviation 'σ', the z-score of a measure X is given by:
z = x-μ/σ
It measures how many standard deviations the measure is from the mean, either above the mean(positive z-score), or below(negative z-score).
For first blank: 1.5 standard deviations below the mean, hence z = -1.5.
For second blank: 1.9 standard deviations below the mean, hence z = 1.9.
For third blank: The mean is 0 standard deviations from itself, hence z = 0.
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5(9+d) -6 when d=3 hjvbvb
Hey there!
If d = 3 then substitute where “d” is at, now let’s work out the equation!
5(9 + 3) – 6
• DISTRIBUTE:
5(9) + 5(3)
5(9) = 45
5(3) = 15
• NEW EQUATION:
45 + 15 – 6
45 + 15 = 60
60 – 6 = 54
Answer: 54 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
SIDE NOTE:
You could use PEMDAS to solve this as well.
Here’s what it means ⬇️
• Parentheses
• Exponent
• Multiplication
• Division
• Addition
• Subtraction
A game card handed out at a grocery store states the probabilities of winning a prize: 0.2 for $10, 0.1 for $5, and 0.7 for $0. What is the probability of winning any amount of money?
Answer:
Step-by-step explanation:
To calculate the probability of winning any amount of money, we need to sum up the probabilities of winning each individual prize.
Given the probabilities stated on the game card:
Probability of winning $10 prize = 0.2
Probability of winning $5 prize = 0.1
Probability of winning $0 prize = 0.7
To find the probability of winning any amount of money, we add these probabilities together:
0.2 + 0.1 + 0.7 = 1
The sum of the probabilities is 1, which indicates that the total probability of winning any amount of money is 1 or 100%.
Therefore, the probability of winning any amount of money in this game is 100%.
Hope this answer your question
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mark me ask Brainliest it helps a lot
Need do find the domain and range
Answer:
So
Domain: (-∞,∞)
Range: [\(-\frac{105}{8} ,\)∞)
Step-by-step explanation:
Answer:
Domain: (-∞,∞)
Range: [-105/8,∞)
Step-by-step explanation: Hope this helps.
Please help!
Unit Rates
Kiley and her parents traveled to visit her grandmother. They drove 24.3 miles from their house to the airport in hour. At the airport, they exited the car and walked for hour to the waiting area by the gate to board their plane. Their walk covered 1.2 miles. From the waiting area, they walked another 0.1 mile to board the plane. The plane left the gate 45 minutes after they arrived at the waiting area. The plane flew 346 miles in hours. After the plane landed, Kiley and her parents walked for 30 minutes, covering 1.1 miles, before they found a cab. It was a 15-minute cab ride to get to Kiley’s grandmother’s house, which was 12.3 miles away.
Answer the following questions about Kiley’s trip. All questions are written in terms of an average rate. Assume that an average rate includes the time that Kiley is at rest (that is, not moving).
In this task, you will write the ratio of miles to hours for each leg of Kiley’s trip. You will then, express the ratio as a decimal number. Next, you will find the unit rate in miles per hour (mph) for each leg of the trip. If your unit rate includes a repeating decimal number, you must indicate which digits repeat (for example, write when the 3 repeats.) A description of each leg is listed below in parts A through F.
Part A
the car ride from Kiley’s house to the airport
Part B
at the airport, the walk from the car to the waiting area by the gate
Part C
the leg from the waiting area to the airplane’s takeoff
Part D
the airplane ride
Part E
the walk from the airport to the cab
Part F
the cab ride
Answer:Did you ever get a answer?? I need them badly! And if i dint turn this in my whole life is ruined!! Im sorry that i don’t have answers for you
Step-by-step explanation:
Answer:
part a is 24.3 miles part b is 24 miles part c is 1.3 miles part d is 50 miles part e is 0.65 miles part f is 5 miles
Step-by-step explanation:
HOPE THIS HELPS!
A worker is getting a 4.5% raise. His current salary is $35,591. How much will his raise be?
His raise will be $
(Type an integer or decimal rounded to two decimal places as needed.)
Help me solve this
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Assets Liabilities and Net Worth Reserves $51 Checkable Deposits $140 Loans 109 Stock Shares 130 Securities 100 Property 10 Refer to the accompanying consolidated balance sheet for the commercial banking system. Assume the required reserve ratio is 30 percent. All figures are in billions. If the commercial banking system actually loans the maximum amount it is able to lend, excess reserves will be reduced to
If the commercial banking system actually lends out the maximum amount it is able to lend, the excess reserves will be reduced to zero. This is because there will be no excess reserves held by the commercial banking system after lending out $9 billion.
Given that the required reserve ratio is 30 percent and all figures are in billions, the following table shows the total reserves, excess reserves, and required reserves:
Required reserve ratio 30% Checkable deposits $140Billion Reserves required (30% of checkable deposits)$42Billion Reserves held $51Billion Excess reserves held $9Billion Loans outstanding $109Billion Total Securities $100Billion Total Property $10Billion Total Assets $260Billion Stock shares $130Billion Total liabilities $130Billion Net worth (total assets - total liabilities) $130Billion.
Therefore, the total reserves held is $51 billion, and the reserves required is 30% of $140 billion, which is $42 billion.
This implies that the excess reserves are $9 billion.The maximum amount the commercial banking system can lend out is $51 billion minus $42 billion, which is $9 billion.
This indicates that if the commercial banking system actually lends out the maximum amount it is able to lend, the excess reserves will be reduced to zero. This is because there will be no excess reserves held by the commercial banking system after lending out $9 billion.
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Find the distance from C to G.
4
86
7
64
3
32
Answer: 64/3
Step-by-step explanation:
Correct answer gets brainliest
Answer:
D. its a two dimensional object
Answer:
A. It is a polygon
C. It is a one-dimensional object
The shape is a polygon in two dimensions since a polygon must have at least three straight sides.
I need to solve this problem and name the concepts used in the problem
In a pie chart, the sum of the angles for each variable or item is 360 degrees. also, the total percentage is 100
Looking at each flavor,
27% chose Glazier freeze, = 27/100 * 360 = 97.2 degrees
25% chose Fierce grape = 25/100 * 360 = 90 degrees
15.5% chose Extreme Citrico = 15.5/100 * 360 = 55.8 degrees
13.5% chose Cool Blue = 13.5/100 * 360 = 48.6 degrees
11.5% chose Lemon ice = 11.5/100 * 360 = 41.4
We want to determine the degrees for others
Therefore,
97.2 + 90 + 55.8 + 48.6 + 41.4 + others = 360
333 + others = 360
others = 360 - 333
others = 27 degrees
The correct option is C
The concept used is converting the given percentages to degrees and equation them to 360 degrees
100% is equivalent to 360 degrees
Find the GCF from the two numbers, and rewrite the sum using the distributive property.
1. 12 + 18 =
The GCF is the "Greatest Common Factor". The factors of 12 are 1, 2, 3, 4, 6, 12. The Factors of 18 are 1, 2, 3, 6, 9, 18. This would mean the GCF of these two numbers are 6. The sum is obviously 30. You could do something like 3(2+8 Which would mean 3x2=6 + 3x8=24.
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Mr. Sharp spent the day at the races. His horses were placed in 8 out of 20 races. In what % of the
races did his horses place?
Answer:
40 %
Step-by-step explanation:
To find the percentage, take the number won and divide by the total
8/20 = .4
Then multiply by 100%
.4 * 100%
40 %
f(x)=x2 + 2x - 1 graph the function. identify the vertex and axis of symmetry
The axis of symmetry is x = -1 and the vertex is (-1, -2).
What is parabola?A parabola is a U-shaped curve that can be formed by graphing a quadratic function. It is a type of conic section, which is a curve formed by intersecting a plane with a cone at a certain angle.
According to question:To graph the function F(x) = x² + 2x - 1, we can first find the vertex and axis of symmetry using the formula:
x = -b/2a
where a and b are the coefficients of the x² and x terms, respectively. In this case, a = 1 and b = 2, so:
x = -2/(2*1) = -1
So the axis of symmetry is x = -1. To find the vertex, we can substitute this value of x into the function to get:
F(-1) = (-1)² + 2(-1) - 1 = -2
So the vertex is (-1, -2).
To graph the function, we can plot the vertex and then use symmetry to plot points on either side of the axis. We can also note that since a = 1 is positive, the parabola opens upward.
A rough sketch of the graph is shown.
The x-axis represents the axis of symmetry, and the y-axis represents the values of the function F(x). The vertex (-1, -2) is marked with an "x", and other points on the graph are marked with "x" to show the general shape of the parabola.
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I NEED THIS ANSWER FAST PLEASE!!
I will give 100 points
Answer: -4/15 (x - 15)
Step-by-step explanation: Got it from quick math
6 - (-6) I DONT understand this question
Round your answer to the Nearest tenth
Answer:
3.3 or \(\frac{56}{17}\)
Step-by-step explanation:
v/7 = 8/17
Cross multiply ... v times 17 & 7 times 8
17v = 56
Divide both sides by 17
v = 56/17
Keep your answer as a fraction OR
Convert to a decimal : 3.3
A rental car company charges a fee of $150.00 for renting a car for a week plus $0.25 per mile driven.
Answer:
y = 150z + .25x
y = $ amount of rental
z = weeks rented
x = miles driven
i hope this helps :)
Find the average rate of change in cigarette consumption for the years shown during which consumption was increasing. Round to one decimal place, if
necessary.
Answer:
1.875
Step-by-step explanation:
To find the average rate of change, we will draw a line from the initial point (1850) to the final point (2010, 300B) as shown in the image provided
Now, we just have to find the slope of this line
We know that slope = Rise /Run
from the image, we know that the rise = 300 and the run is 160
Hence,
Slope = 300 / 160
Slope = 1.875
Therefore,
The average rate of change of cigarette consumption is 1.875 Billion
Convert 41 divided by 2 day.
to an
hour
41/2 days is equivalent tο 492 hοurs.
What is divisiοn?Divisiοn is an arithmetic οperatiοn that invοlves splitting a quantity intο equal parts οr determining hοw many times οne quantity is cοntained within anοther. It is cοmmοnly denοted by the symbοl ÷ οr /, and can be written as a fractiοn οr as a ratiο.
We knοw that there are 24 hοurs in day therefοre,
Tο cοnvert 41/2 days tο hοurs, we can use the fact that there are 24 hοurs in οne day:
41/2 days x 24 hοurs/day = 41 x 12 = 492 hοurs
Therefοre, 41/2 days is equal tο 492 hοurs.
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60 students are grade 1 but inly 30 students are in kindergarten what is ratio of grade 1 students to kindergarten students
Given data:
The number of students in grade 1 are a=60.
The number of students in thekindergarten are b=30.
The expression for the ratio of the grade 1 to the kindergarten is,
a/b=60/30
=2/1
=2:1
THus, the ratio of the grade 1 to the kindergarten is 2:1.
Which of the following represents all solutions to the equation
1/3x^2 +10 = 7
Answer:
1 +-3i
Step-by-step explanation:
Answer:
answer is 1) x=±3i
Step-by-step explanation:
"Even in winter, the roadsides were places of beauty, where countless birds came to feedon the
berries and on the seed heads of the dried weeds rising above the snow. The countryside was, in
fact, famous for the abundance and variety of its bird life, and when the flood of migrants was
pouring through in spring and fall, people came from great distances to observe them"
(paragraph 5).
Why most likely does the author give a detailed description of a healthy ecology (the
study of organisms and how they interact to the environment around them) as noted in
paragraph 5?
A. To promote birdwatching to people visiting the town
B. To give the natural history of a specific region
C. To describe different tourist activities of people pouring through the town
D. To contrast how the town changed once the ecology was compromised with the use of
harmful pesticides
The author gives a detailed description of a healthy ecology D. To contrast how the town changed once the ecology was compromised with the use of harmful pesticides.
What is the ecology about?
Ecology also teaches us about the benefits of ecosystems and how to use the Earth's resources in a way that protects the environment for future generations. We can learn more about our surroundings thanks to the various fields of ecology, which include statistical ecology, marine ecology, and vegetation ecology.
With the help of this information, we can manage our natural resources, protect human health, and improve the environment. In this case, the author give a detailed description of a healthy ecology.
The correct option is D.
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Solve for t. d=−16t^2+12t
The value of t is (-3±√9+4d)/(-8).
What is a quadratic equation?
Any equation that can be written in the standard form where x is an unknown value, a, b, and c are known quantities, and a 0 is a quadratic equation. A quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.
Here, we have
Given: d = -16t² + 12t
To find: t using the quadratic formula
If we have a quadratic equation in the form ax² + bx + c = 0
then, by the quadratic formula we have
x = (-b±√b²-4ac)/2a
Rewrite the given equation,
-16t² + 12t - d = 0
from this equation we have,
a = -16 , b = 12 , c = d
now using the quadratic formula we get,
t = (-12±√12²-4(-16)(d))/2(-16)
t = (-12±√144+64d)/(-32)
t = (-12±4√9+4d)/(-32)
t = (-3±√9+4d)/(-8)
Hence, the value of t is (-3±√9+4d)/(-8).
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6,370 x 30 find the products
Answer: The product of 6,370*30 is 191,100
You have recently been hired to survey water park! The park attractions can be found at the locations shown in the table on your grid map. Use this data to answer the questions to follow. Location Ordered Pairs Help Center (2, 3) Large Whirlpool (3, 14) Water Slide #1 (-6, 3) Water Slide #2 (16, 4) Water Slide #3 (-7, 6) Toddler Area (-3, -9) Lazy River (-7, 10) Concessions (6, -6) Gift Shop (8, -9) Restrooms (2, -9) Security Desk (5, 4) After identifying each attraction’s location with ordered pairs, you are now ready to calculate the slope between attractions using the slope formula. Help Center to Water Slide #1 Toddler Area to Concessions Gift Shop to Restrooms Security Desk to Water Slide #2 Lazy River to Large Whirlpool Now calculate the point between these attractions by applying the midpoint formula. Help Center to Water Slide #1 Toddler Area to Concessions Gift Shop to Restrooms Security Desk to Water Slide #2 Lazy River to Large Whirlpool Using your slope and end points calculate a linear equation, y = mx + b. and solve for b. Help Center to Water Slide #1 Toddler Area to Concessions Gift Shop to Restrooms Security Desk to Water Slide #2 Lazy River to Large Whirlpool
Help Center to Water Slide #1: Level line, y = 3. Toddler area to Concessions: Negative incline, y = (-1/3)x - 7. Gift Shop to Restrooms: Level line, y = -9. Security desk to Water Slide #2: Even line, y = 4. Lazy river to large Whirlpool: Positive incline, y = (2/5)x + 61/5.
How to calculate the slope between attractions using the slope formula.To calculate the slope between attractions and discover the midpoints, we'll utilize the given requested sets for each fascination. Here are the calculations:
Help Center to Water Slide #1:
Slope = ((y2 - y1) / (x2 - x1)) = ((3 - 3) / (-6 - 2)) = / -8 =
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((2 + (-6)) / 2), ((3 + 3) / 2)) = (-2, 3)
Toddler area to Concessions:
Slope = ((y2 - y1) / (x2 - x1)) = ((-6 - (-3)) / (6 - (-3)) = (-3 / 9) = -1/3
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((-3 + 6) / 2), ((-9 + (-6)) / 2)) = (1.5, -7.5)
Gift Shop to Restrooms:
Slope = ((y2 - y1) / (x2 - x1)) = ((-9 - (-9)) / (8 - 2)) = / 6 =
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((8 + 2) / 2), ((-9 + (-9)) / 2) = (5, -9)
Security desk to Water Slide #2:
Slope = ((y2 - y1) / (x2 - x1)) = ((4 - 4) / (16 - 5)) = / 11 =
Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((5 + 16) / 2), ((4 + 4) / 2) = (10.5, 4)
Lazy River to Large Whirlpool:
Slope = ((y2 - y1) / (x2 - x1)) = ((10 - 14) / (-7 - 3)) = (-4 / -10) = 2/5
Midpoint = ((x1 + x2) / 2)), ((y1 + y2) / 2)) = ((-7 + 3) / 2), ((10 + 14) / 2)) = (-2, 12)
Presently, let's calculate the linear equations for each case:
Help Center to Water Slide #1:
The Slope is 0, and the y-coordinate is consistent, so the equation is y = 3.
Toddler area to Concessions:
The Slope is -1/3, and the y-intercept can be calculated utilizing the midpoint facilitates:
-7.5 = (-1/3)(1.5) + b
-7.5 = -0.5 + b
b = -7
Gift Shop to Restrooms:
The Slope is 0, and the y-coordinate is steady, so the equation is y = -9.
Security desk to Water Slide #2:
The Slope is 0, and the y-coordinate is steady, so the equation is y = 4.
Lazy River to Large Whirlpool:
The Slope is 2/5, and the y-intercept can be calculated utilizing the midpoint arranges:
12 = (2/5)(-2) + b
12 = -4/5 + b
b = 61/5
The Linear equations for each case are as follows:
Help Center to Water Slide #1: y = 3
Toddler area to Concessions: y = (-1/3)x - 7
Gift Shop to Restrooms: y = -9
Security desk to Water Slide #2: y = 4
Lazy River to Large Whirlpool: y = (2/5)x + 61/5
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estimate 3 1/2 minus 1 1/3
Answer:
2.17
Step-by-step explanation:
if you subtract 3 1/2 by 1 1/3 it equals 2.1666667 and 2.1666667 rounds to 2.17 and thats how you get your answer.
134, 108, 82, 56, ...
Recursive Rule
Explicit Rule
Answer:
a) a₁ = 134, aₙ = aₙ₋₁ - 26b) aₙ = 160 - 26nStep-by-step explanation:
Given sequence:
134, 108, 82, 56, ...This is an AP since the difference of terms is common:
d = 56 - 82 = 82 - 108 = 108 - 134 = - 26The first term is:
a₁ = 134Recursive formula for this sequence is:
a₁ = 134, aₙ = aₙ₋₁ - 26The explicit formula is:
aₙ = a₁ + (n - 1)dSubstitute the values to get:
aₙ = 134 + (n - 1)(- 26) = 134 - 26n + 26 = 160 - 26nKaliq and Maria ench improved their yards by planting grass sod and shrubs. They bought their supplied from the same store. Kali spent $119 on 14ft^2 of grass sod and 3 shrubs. Mana spent 398 on 7ft^2 of grass sod and 7 shrubs. Find the cost of one ft^2 of grass sod and the cost of one shrub
Answer:
i dont get it
Step-by-step explanation:
Fill in the blank with the correct answer choice. A ___________ has exactly one pair of parallel lines. a. square c. trapezoid b. parallelogram d. rectangle Please select the best answer from the choices provided A B C D
Answer: C
Step-by-step explanation:
The rest of the quadrilaterals provided have 2 pairs of parallel lines.
The choice is:
CExplanation:
The quadrilateral that has exactly one pair of parallel lines is called a trapezoid.
Here's what a trapezoid looks like :
\(\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\linethickness{0.3mm}\qbezier(0,0)(0,0)(1,3)\qbezier(5,0)(5,0)(4,3)\qbezier(1,3)(1,3)(4,3)\qbezier(3,0)(8.2,0)(0,0)\put(-0.5,-0.3){$\sf A$}\put(5.3,-0.3){$\sf B$}\put(4.2,3.1){$\sf C$}\put(0.6,3.1){$\sf D$}\end{picture}\)
Hence, this makes C the correct choice.(1.5) In the figure, l || m. Find x,y and z.
Step-by-step explanation:
I am not seeing the figurem..