Answer:
x=2
Step-by-step explanation:
6x-4 = 8
Add 4 to each side
6x-4+4 = 8+4
6x= 12
Divide by 6
6x/6 = 12/6
x=2
What is the slope of the line that passes through the points (-8,3)
and (-8, 2)? Write your answer in simplest form.
Answer:
Undifined
Step-by-step explanation:
Cara's muffin recipe calls for 1 1 2 cups of flour for the muffins and 3 4 cup of flour for the topping. If she makes 1 4 of the original recipe, how much flour will she use?
Cara will need 9/16 cups of flour to make 1/4 of the original recipe.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
Cara's original recipe requires 1 1/2 cups of flour for the muffins and 3/4 cup of flour for the topping, for a total of 1 1/2 + 3/4 = 2 1/4 cups of flour.
To make 1/4 of the original recipe, Cara needs to multiply each ingredient by 1/4.
1/4 of 1 1/2 cups of flour for the muffins is (1/4) x (3/2) = 3/8 cup of flour.
1/4 of 3/4 cup of flour for the topping is (1/4) x (3/4) = 3/16 cup of flour.
Therefore, the total amount of flour Cara will use to make 1/4 of the original recipe is:
3/8 + 3/16 = 6/16 + 3/16 = 9/16 cup of flour.
Thus, she will need 9/16 cups of flour to make 1/4 of the original recipe.
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simple question just answer correctly to get brainleist and 10 pts! :)
Answer:
im pretty sure the answer is either a or c because. if i had to choose one though i'd probably go with C
Step-by-step explanation:
a function is a y for every x and im pretty sure both a and c display that, but a is going to all of numbers in the other bubble and there arent any other letters in the first one. hope this helps
Which recrusive formula can be used to generate the sequence shown, where f(1)=5 and n>=1 5,-1,-7,-13,-19
Answer:
a_n = 11 - 6n
Step-by-step explanation:
you can observe every next element is smaller then the previous one by 6
a_n = 5 - 6*(n-1)
a_n = 5 - 6n + 6
a_n = 11 - 6n
LaTanya buys 6 yards of blue fabric and 9 yards of green fabric. The blue fabric costs $2 more per yard than the green fabric. She pays a total of $57. What would be the combined cost of 1 yard of blue fabric and yard of green fabric?
The price of 1 yard of blue fabric and 1 yard of green fabric is obtained by solving the system of linear equations and it is $8
Let
x = price of blue fabric per yard
y = price of green fabric per yard
"The blue fabric costs $2 more per yard than the green fabric" means:
x = y + 2 (Equation 1)
" LaTanya buys 6 yards of blue fabric and 9 yards of green fabric and pays $57" means:
6x + 9y = 57 (Equation 2)
Substitute equation 1 into equation 2:
6x + 9y = 57
6 (y + 2) + 9y = 57
6y + 12 + 9y = 57
15 y = 45
y = 3
Substitute y = 3 into equation 1
x = 3 + 2 = 5
Hence, the price of blue fabric is $5 per yard while the green fabric is $3 per yard.
The price of 1 yard of blue fabric and 1 yard of green fabric = x + y = 3 + 5 = $8
Complete question:
LaTanya buys 6 yards of blue fabric and 9 yards of green fabric. The blue fabric costs $2 more per yard than the green fabric. She pays a total of $57. What would be the combined cost of 1 yard of blue fabric and 1 yard of green fabric?
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what is the most reason able estimate for 56% of 80%
HELP ASAP
what is the value of x in this simplified expression
Answer:
7
Step-by-step explanation:
(-j)^-7 = 1/(-j)^xChanging LHS as
1/(-j)^7 = 1/(-j)^xComparing LHS and RHS
x = 7What is the inverse of the statement?
A number that has exactly two distinct factors is prime.
If a number has exactly two distinct factors, then the number is prime.
If a number does not have exactly two distinct factors, then the number is not prime.
If a number is not prime, then the number does not have exactly two distinct factors.
If a number is prime, then the number has exactly two distinct fac
The inverse of the statement is "If a number does not have exactly two distinct factors, then the number is not prime." Thus Option 2 is the answer.
When a conditional statement is reversed, the hypothesis and conclusion are both negated. The hypothesis in the original statement is "a number with exactly two distinct factors," while the conclusion is "is prime."
To make the inverse, we negate both sections. "A number does not have exactly two distinct factors" is the antonym of "A number that has exactly two distinct factors." "Is not prime" is the opposite of "is prime."
As a result, the inverse statement is "If a number does not have exactly two distinct factors, then the number is not prime."
It's crucial to remember that a statement's inverse could or might not be accurate. In this instance, the inverse is true since the definition of a prime number is incompatible with the fact that a number has more than two components if it has more than exactly two different factors.
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the lifetime of a certain electrical part is a random variable with mean 100 hours and standard deviation 20 hours. if 16 such parts are tested, find the probability that the sample mean is (a) less than 104; (b) between 98 and 104 hours.
If 16 such parts are tested then the probability that the sample mean is
(a) less than 104 is 0.7881 and (b) is between 98 and 104 is 0.4435 .
In the question ,
it is given that ,
the lifetime of an electrical part follows a random variable ,
the mean of the random variable is = 100 hours ,
the standard deviation of the random variable is = 20 hours ,
the sample (n) is = 16
So , the standard error = 20/√16 = 20/4 = 5
the z value for 104 is is
= (104 - 100)/5 = 0.8
Part (a)
the probability the sample mean is less than 104 is ,
= P(X < 104)
= P(Z < 0.8)
From the z table values ,
= 0.7881
Part (b)
the probability that the sample mean is between 98 and 104 is ..
the z value for 98 , z = (98 - 100)/5
= -0.4
z value for 104 is = (104 - 100)/5
= 0.8
So , P(98 < X < 104) = P(-0.4 < Z < 0.8)
= 0.7881 + 0.654 - 1
= 0.4435
Therefore , the required probability are (a) 0.7881 and (b) 0.4435 .
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I'LL GIVE BRAINLIEST
If $3500 is invested at an interest rate of 2.9%, compounded quarterly, how much will the investment be worth after 8 years?
(equation to use in picture)
Answer:
$4,410
Step-by-step explanation:
when x does not have full rank, let's see why px =
When x does not have full rank, it means that the columns of x are not linearly independent. This means that there exists a non-zero vector b such that xb = 0. Let's see why px = x when this is the case.
First, let's recall what the projection matrix p is. The projection matrix p is defined as p = x(xTx)-1xT. This matrix projects any vector onto the column space of x.
Now, let's see what happens when we multiply px:
px = x(xTx)-1xTx
Since xTx is a scalar, we can write this as:
px = x(xTx)-1(xTx)
px = x
So we can see that px = x when x does not have full rank. This is because the projection matrix p projects any vector onto the column space of x, and when x does not have full rank, the column space of x is the same as the column space of px.
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Which of the following differential equation(s) is/are linear? (Choose all that apply.) 1 2xy" - 5xy' + y = sin(3x) (v)² + xy =In(x) □y' + sin(y)=e3x (x²+1)y"-3y - 2x³y=-x-9 (+1)y'+xy=y"
To determine which differential equation(s) are linear, we need to examine the form of each equation. A linear differential equation is one that can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x), b(x), c(x), and g(x) are functions of x.
The differential equation 2xy" - 5xy' + y = sin(3x) is linear. It can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x) = 2x, b(x) = -5x, c(x) = 1, and g(x) = sin(3x).
The differential equation (v)² + xy = In(x) is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (v)², where v represents the derivative of y with respect to x. This term does not have a linear coefficient.
The differential equation y' + sin(y) = e^(3x) is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = sin(y), and g(x) = e^(3x).
The differential equation (x²+1)y" - 3y - 2x³y = -x - 9 is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (x²+1)y", where the coefficient is a function of x.
The differential equation y' + xy = y" is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = x, and g(x) = y".
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4.21 game of dreidel. a dreidel is a four-sided spinning top with the hebrew letters nun, gimel, hei, and shin, one on each side. each side is equally likely to come up in a single spin of the dreidel. suppose you spin a dreidel three times. calculate the probability of getting
The probability of getting at least one nun in three spins of a dreidel is approximately 0.578
The probability is the ratio of number of favorable outcomes to the total number of outcomes
The probability of getting no nuns in a single spin is 3/4, since there are three non-nun letters (Gimel, Hei, Shin) and four total letters.
The probability of getting no nuns in three spins is then (3/4)^3, since the spins are independent and we can multiply probabilities of independent events.
So the probability of getting at least one nun in three spins is
= 1 - (3/4)^3
= 1 - 0.421875
= 0.578125
Therefore, the probability of getting at least one nun is 0.578
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The given question is incomplete, the complete question is:
A dreidel is a four-sided spinning top with the Hebrew letters nun, gimel, hei, and shin, one on each side. Each side is equally likely to come up in a single spin of the dreidel. Suppose you spin a dreidel three times. Calculate the probability of getting (a) at least one nun?
information about five planets is shown in the table below. write down the name of the planet with the greatest mass
Answer:
Jupiter
Step-by-step explanation:
Jupiter is 318 times as massive as earth
Jupiter mass is 300 times more bigger than earth and it has a diameter at 140,000 km
Plz help me with both question and on the last question plz show ur work I will give brainliest
Answer:
12 Cups if Cheese
Step-by-step explanation:
Hope this Helps!During the audit of Wyndham Limited, the auditor used a variety of sampling methods based on areas selected for the audit test. Some methods were statistical and others non-statistical. Due to the extent of the audit, a decision was made to use the work of experts and include work done by internal auditors to supplement audit evidence gathered. An extract of the Statement of Financial Position for year ended 2021 December 31 is as follows: i. Property, plant and equipment $54 000 000 This figure includes buildings valued at $35 000 000; motor vehicles $5 000 000, plant and machinery $9 000 000 and investments $5 000 000 ii. Non-current liabilities amounted to $49 500 000 and current liabilities $2 350 000
C. Explain the following financial statement assertions with regards to account balances reported for buildings and non-current liabilities in the extract above: i. Presentation ii. Valuation (4 marks)
D. Provide TWO (2) reasons that investments would be selected for review by the auditor
The assertion of presentation confirms that the components of the financial statements are shown appropriately.
The management is also responsible for ensuring that the statement is adequately classified, described, and disclosed. Valuation: Valuation assertion affirms that the amounts of assets, liabilities, and equity have been appropriately recorded and stated at the correct amount. Buildings have been valued at $35,000,000 while the non-current liabilities amounted to $49,500,000. The auditor should evaluate if the valuation is accurate and if any impairment has been recognized.
The auditor must ensure that the investment in question exists and that the company owns it. The investment must be in the name of Wyndham Limited and not under another person or company. Ownership and valuation: The auditor should verify that the company has control over the investment and that it's valued correctly. If the investment is accounted for using fair value, the auditor must ensure that the method used is appropriate and consistent with the company's accounting policy. The auditor should also verify that the company's control over the investment justifies the accounting treatment used. The valuation of the investment should be at the correct amount and the disclosures must comply with the relevant accounting standard or IFRS.
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Can someone help me with this math homework please!
Answer:
4
Step-by-step explanation:
A line with 0 slope is parallel to x axis and it must have the same y coordinates
Answer:
4
Step-by-step explanation:
( 3, b ) and ( - 2, 4 )
x1 y1 x2 y2
Here,
x1 = y1 = 0
x2 = - 2
y2 = 4
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope = ( 4 - b ) / ( - 2 - 3 )
0 = ( 4 - b ) / - 5
4 - b = - 5 x 0
4 - b = 0
4 = b
b = 4
A delicatessen is open 24 hours a day every day of the week. If, on the average, 20 orders are received by fax every two hours throughout the day, find the a. probability that a faxed order will arrive within the next 9 minutes b. probability that the time between two faxed orders will be between 3 and 6 minutes c. probability that 12 or more minutes will elapse between faxed orders
The answers are (a) 1.5 orders (b) 0.5 (c)-1
a. Probability that a faxed order will arrive within the next 9 minutes:
Since there are 24 hours in a day, and we receive an average of 20 orders every two hours, this means we receive an average of 10 orders per hour. We can assume that orders arrive uniformly throughout the hour. To find the probability that a faxed order will arrive within the next 9 minutes, we can convert the time to hours. 9 minutes is \(\frac{9}{60} = 0.15\) hours. The probability of an order arriving within the next 9 minutes is equal to the average rate of orders per hour multiplied by the time interval:
Probability = (10 orders/hour) * (0.15 hours) = 1.5 orders.
b. Probability that the time between two faxed orders will be between 3 and 6 minutes. Again, we need to convert the time interval to hours. 3 minutes is \(\frac{3}{60}=0.05\) hours, and 6 minutes is \(\frac{6}{60} = 0.1\).
The probability of the time between two orders being between 3 and 6 minutes can be calculated as the difference between the probabilities of an order arriving within the next 3 minutes and an order arriving within the next 6 minutes:
Probability = (10 orders/hour) (0.1 hours) - (10 orders/hour) (0.05 hours)
= 1 - 0.5
= 0.5.
c. Probability that 12 or more minutes will elapse between faxed orders:
Similar to the previous calculations, we convert the time to hours. 12 minutes is \(\frac{12}{60} = 0.2\) hours.
The probability that 12 or more minutes will elapse between faxed orders can be calculated as the probability of no orders arriving within the next 12 minutes:
Probability = 1 - (10 orders/hour) (0.2 hours)
= 1 - 2
= -1.
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Consider the sets X = {2n +8 | n € Z} and Y = {4k + 10 | k € Z}. Find an element of Y which is also an element of X. b) Find an element of X which is not an element of Y. c) The sets X and Y are not equal because: OYCX X ¢ Y Y¢X OXCY
a) An element of Y which is also an element of X is 14. ; b) 6 is in X, but not in Y ; c) The sets X and Y are not equal because X and Y have common elements but they are not the same set. The statement Y = X is false.
(a) An element of Y which is also an element of X is:
Substitute the values of n in the expression 2n + 8 0, 1, –1, 2, –2, 3, –3, ....
Then X = {16, 14, 12, 10, 8, 6, 4, 2, 0, –2, –4, –6, –8, –10, –12, –14, –16, ....}
Similarly, substitute the values of k in the expression 4k + 10, k = 0, 1, –1, 2, –2, 3, –3, ....
Then Y = {10, 14, 18, 22, 26, 30, 34, 38, 42, ....}
So, an element of Y which is also an element of X is 14.
(b) An element of X which is not an element of Y is:
Let us consider the element 6 in X.
6 = 2n + 8n
= –1
Substituting the value of n,
6 = 2(–1) + 8
Thus, 6 is in X, but not in Y.
(c) The sets X and Y are not equal because X and Y have common elements but they are not the same set.
Hence, the statement Y = X is false.
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1 inch = 2.54 cm 1 meter = 3.28 feet 1 meter = 100cm 1 inch = 0.083 feet 1 foot = 0.333 yards 5280 feet = 1 mile 9. Convert 18 meters into inches. 10. Convert 2500 centimeters into yards. 11. Convert 15,000 feet to miles.
15,000 feet is equivalent to 2.84 miles. To convert 18 meters into inches, we can use the conversion factor of 1 meter = 39.37 inches:
18 meters * 39.37 inches/meter = 708.66 inches
Therefore, 18 meters is equivalent to 708.66 inches.
To convert 2500 centimeters into yards, we can first convert centimeters to meters using the conversion factor of 1 meter = 100 centimeters, and then convert meters to yards using the conversion factor of 1 meter = 1.0936 yards:
2500 centimeters / 100 centimeters/meter = 25 meters
25 meters * 1.0936 yards/meter = 27.34 yards
Therefore, 2500 centimeters is equivalent to 27.34 yards.
To convert 15,000 feet to miles, we can use the conversion factor of 1 mile = 5280 feet:
15000 feet / 5280 feet/mile = 2.84 miles
Therefore, 15,000 feet is equivalent to 2.84 miles.
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How do you prove two shapes are congruent?
If the two shapes are congruent, then the two shapes has same scale factor.
Here we have to prove that the two shapes are congruent.
Here we know that the two shapes are given, if those two shapes are congruent then it must satisfies the following conditions,
Either all three pairs of corresponding sides are equal or if two pairs of corresponding sides and the corresponding angles between them are equal or at least if two pairs of corresponding angles and the corresponding sides between them are equal.
If any one of the given condition is satisfied, then those two shapes are said to be in the form of congruent to each other.
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respectively Q 1
=160−10P 1
OR r 1
=16−0.1Q 1
aWD 1/P 6
=16 6
−2T −
Q 2
=200−20P 2
ORP 2
=10−0,050,…H1AP 2
=15−0:0% Saga's Total Cost function is: TC =120+4Q With third degree price discrimination, the condition for peofit marimizater is MR 1
=MR 2
=MR=MC Find P 1
,Q 1
,P 2
,Q 1
Total Revenue, Total Cost, and Total proft wit sree discrimination. Find P,Q,TR,TC&π In the absence of price discrimination. Marks: 7
In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.
To find the profit-maximizing conditions with third-degree price discrimination, we need to equate the marginal revenue (MR) to the marginal cost (MC) for each market segment.
Given the demand equations and the total cost function:
Market 1: Q1 = 160 - 10P1 or P1 = 16 - 0.1Q1
Market 2: Q2 = 200 - 20P2 or P2 = 10 - 0.05Q2
Total Cost: TC = 120 + 4Q
To find the profit-maximizing prices and quantities, we equate MR to MC for each market segment:
MR1 = MC:
16 - 0.2Q1 = 4
0.2Q1 = 12
Q1 = 60
MR2 = MC:
10 - 0.1Q2 = 4
0.1Q2 = 6
Q2 = 60
Substituting the quantities back into the demand equations, we find:
P1 = 16 - 0.1(60) = 10
P2 = 10 - 0.05(60) = 7
The total revenue (TR) can be calculated by multiplying the price by the quantity for each market segment:
TR = P1 * Q1 + P2 * Q2
TR = (10 * 60) + (7 * 60)
TR = 600 + 420
TR = 1020
The total cost (TC) is given by the total cost function:
TC = 120 + 4Q
TC = 120 + 4(60 + 60)
TC = 120 + 480
TC = 600
Finally, the profit (π) can be calculated by subtracting total cost from total revenue:
π = TR - TC
π = 1020 - 600
π = 420
In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.
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(6×10^2) ÷ (3×10^-3)
Answer:
2*10²
Reduce the expression, if possible, by cancelling the common factors.
Scientific Notation:
Hi!
Lets go through this together.
Using the operation, PEMDAS, we start from left, then go to right.
since there are two pairs of parenthesis, we start with the one on the left.
(6x10^2)
so now, we do the exponent, 10^2
10x10= 100
So our answer for this part is 100.
Now we have (6x100)
6x100=600
So now, the equation is 600÷(3x10^-3)
Now, we do the parenthesis on the right.
(3x10^-3)
First, we do the exponent, 10^-3
10x-10x-10= 1,000
so now, the equation is (3x1,000)
Now, we multiply.
3x1,000=3,000
So now, the equation is 600 ÷ 3,000
600 ÷ 3,000 = 0.2
So, your answer is 0.2.
__________________________________________________________
(6 x 10^2) ÷ (3 x 10^-3)
=(6 x 100) ÷ (3 x 10^-3)
= 600 ÷ (3 x 10^-3)
= 600 ÷ (3 x 1,000)
= 600 ÷ 3,000
= 0.2
(also, the scientific notation is 2x10^2)
__________________________________________________________
Hope this helps!
Let me know if you need anymore help!
Yours truly,
~~~PicklePoppers~~~There are letter tiles in a bag. Four A’s, five B’s, six C’s and five D’s. You select one tile, replace it, and then draw another.
P( A and A)=______
A. 2/5
B. 1/25
C. 4/20
D. 1/20
Answer:
[B] 1/25
Step-by-step explanation:
From the given:
There are letter tiles in a bag. Four A’s, five B’s, six C’s and five D’s. You select one tile, replace it, and then draw another.
To Find:
P( A and A)=______
Solution:
Since it given that:
Four A’s, five B’s, six C’s and five D’s.
Thus we have:
A,A,A,A,B,B,B,B,B,C,C,C,C,C,C,D,D,D,D,D
Total number of letters tiles = 20
Probability of selecting A = 4/20 = 1/5
Probability of selecting A = 4/20 = 1/5
P( A and A)= 1/5 × 1/5 = 1/25
Thus, the answer is [B] 1/25
Kavinsky
At a local print shop, 20 copies can be made for $8. At this rate, how how many copies could be made for $34?
Fill out the table of equivalent ratios until you have found the value of x.
Copies Dollars
20 8
xx 34
It would cost $34 to make
copies.
Answer:4
Step-by-step explanation:
20 times 8 =$160 which is the total price for all copies
$160:34=4.7....$ but you can't make 0.7... of copy, so we don't count it. You can make 4 copies for $34
A rod 123.75 cm long is sawn into 16 equal lengths. If a wastage takes place of ¼ cm for each saw cut, what is the length of each piece?
Answer:
7.5 cm
Step-by-step explanation:
A rod 123.75 cm long is sawn into 16 equal lengths.
The length of each rod is calculated as:
123.75cm/16 =
= 7.734375cm
If a wastage takes place of ¼ cm for each saw cut,
The length of each piece is calculated as:
7.734375cm - 1/4 cm
7.734375cm − 0.25 cm
7.484375cm
Approximately = 7.5 cm
Therefore, the length of each piece = 7.5 cm
Evaluate the following equation using the given value for the variable.
4x + 5 when x= 3
Answer:
4x +5 = 17
Step-by-step explanation:
(4 x 3) + 5 =
12 + 5 = 17
Which decimal number is equal to 1/6 ? Responses
The decimal representation of 1/6 is 0.166666..., where the 6 repeats indefinitely. This can be written as 0.16 recurring or 0.1¯6.
The decimal number equal to 1/6 is 0.166666... when rounded to a certain number of decimal places.
When we divide 1 by 6, the result is a recurring decimal where the digit 6 repeats indefinitely.
This indicates that the division does not yield a terminating decimal. To represent this repeating pattern, we often use a bar notation.
In this case, the bar is placed above the digit 6, indicating that it repeats infinitely. So, the decimal equivalent of 1/6 is commonly expressed as 0.1¯6, or as 0.1666... when rounding to a specific number of decimal places.
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Congratulations! You've won a chance to win a prize! All you have to do is pick a slip ofpaper out of the bowl. What's written on it is your prize. One piece of paper has "NewCar" on it, 5 have "iPhone 12 Pro Max", 10 have "$25 Gift Card", and 24 that have "FirmHandshake" on it. Complete a probability model using the table below for choosing oneof these at random. (Use fractions or decimals, not percentages.)QUESTION #1
Determine the total number of slip in the bowl.
\(\begin{gathered} T=1+5+10+24 \\ =40 \end{gathered}\)Determine the probability for slip with "New car".
\(\begin{gathered} P\text{ (New car)=}\frac{1}{40} \\ =0.025 \end{gathered}\)Determine the probability for slip with "iPhone".
\(\begin{gathered} P\text{ (iPhone)=}\frac{5}{40} \\ =\frac{1}{8} \\ =0.125 \end{gathered}\)Determine the probability for slip with "Gift card".
\(\begin{gathered} P\text{ (Gift card)=}\frac{10}{40} \\ =\frac{1}{4} \\ =0.25 \end{gathered}\)Determine the probability for slip with "Handshake".
\(\begin{gathered} P\text{ (Handshake)=}\frac{24}{40} \\ =\frac{6}{10} \\ =0.6 \end{gathered}\)So answers are,
New car: 1/40 or 0.025
iPhone: 1/8 or 0.125
Gift card: 1/4 or 0.25
Handshake: 6/10 or 0.6
What age group are considered your peers? Select one: a. Children significantly younger than you b. Adolescents who are similar in age to you c. Adults who are your parents age d. Adults who are your grandparents age. Please answer fast :)
Answer:
B) Adolescents who are similar in age to you
Step-by-step explanation:
Answer:
b. adolescents who are similar in age to you.