Answer:
7) no 8) no 9) no 10)yes 11) yes 12) yes 13) k=42 14) c=30 15)a=42
Step-by-step explanation:
Answer:
do you still need help
Step-by-step explanation:
Which expression is equivalent to 4(23)?
4(2+3)
4(20+30)
4(2+13)
4(20+3)
Answer:
4(20+3)
Step-by-step explanation:
you can just add 20+3 to make the (23) part of the equation it's very simple dont make it complicated luv
imagine that you are a researcher conducting a survey for a client. you are trying to decide what sample size you need. what would the main advantage be of a larger sample size?
Large sample size gives more accurate information about population.
The main advantages of Large sample size is :
1. Large sample size provide stronger and more reliable information about parent population.
2. It will help researcher to capture outliers and sweeping out in sample.
3. Measuring large sample size allows one to divide the sample into segments .
4. Large sample size helps in obtaining a quality and precise mean .
Some disadvantages of Large sample size is :
1. Large sample size will be time consuming and more expensive to work with
2. It require higher financial involvement to complete the survey.
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I will give brainliest:)
In 10 seconds Lauren counts 5 vehicles passing by her house at that rate how many vehicles would passing by in one hour
Answer:
1,800 vehicles
Step-by-step explanation:
We need to find what fraction of an hour 10 seconds is, so we will divide 60 (minutes) by 1/6 (minutes). From solving this, we will get 360. That is how many 10 second chunks pass in an hour. We will multiply 360 by 5, and we get 1,800 vehicles!
$4. 92 for a dozen apples is a rate of $0. _ _ per apple
Answer:
$0.41
Step-by-step explanation:
dozen means 12.
simply divide $4.92 by 12.
PLEASE MARK ME AS BRAINLIEST !!!
$0.41
A football coach walks 12 meters westward, then 16 meters eastward,
then 22 meters westward, and finally 6 meters eastward.
For this motion, what is the distance moved?
What is the magnitude and direction of the displacement?
Answer:
Total distance traveled = 56 m
Total displacement is 12 m
Direction of coach is westward
Step-by-step explanation:
It is given that football coach first go 12 meter westward then 16 meter eastward.
So no position of coach in eastward direction = 16 - 12 = 4 m
And then 22 m west westward
Therefore position of coach now is 22-4 = 18 m westward
And finally 6 m eastward
Therefore final position of coach is 18-6= 12 m westward
So displacement of coach is 12 m and direction is westward.
Total distance traveled = 12+16+22+6= 56 m
Answer:
right
Step-by-step explanation:
A large cuboid-shape box has dimensions of 70cm by 40cm by 40cm. Work out the maximum number of smaller cube-shaped boxes with sides of length 10cm that will fit in the large box
Given ,
A large cuboid-shape box has dimensions of 70cm by 40cm by 40cmLength of the cube shaped boxes are 10cmTo Find : Maximum number of small cube shaped boxes that can fit in the cuboid
Volume of the Cuboid = \(2(lb+bh+lh)\)
Volume of the cuboid = \(2(70X40+40X40+70X40)\)
= \(14400cm^{3}\)
Now to find the volume of a cube,
\(V = a^{3}\)
\(V = 10X10X10\)
\(V = 1000cm^{3}\)
Number of boxes that can fit in a cuboid = \(\frac{14400}{1000}\)
= \(14boxes\)
Hence , the number of cube shaped boxes that can fit in a cuboid are 14
A line with a slope of 2 passes through the points (k, 3) and (6, k) on the coordinate grid. What is the value of k?
The value of k that makes the line passing through the points (k, 3) and (6, k) have a slope of 2 is k = 5
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
A line with a slope of 2 passes through the points (k, 3) and (6, k), hence:
2 = (k - 3) / (6 - k)
12 - 2k = k - 3
k = 5
The value of k that makes the line passing through the points (k, 3) and (6, k) have a slope of 2 is k = 5
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Why are factorial designs useful in testing theories?
a. They allow researchers to explore the construct validity of a theory.
b. Results from factorial designs are typically straightforward and easy to interpret.
c. They allow researchers to understand the nuances of how variables interact.
d. Results from factorial designs are always intuitive.
Factorial design are useful in testing theories because they enable researchers to investigate a theory's construct validity. so the correct answer is option (a).
What is factorial designs?A key technique for identifying the impact of numerous variables on a response is the factorial design. Traditionally, experiments are planned to ascertain how one variable affects just one response.
What is testing theories?The corpus of knowledge supporting the analysis and application of test results. The definition and measurement of reliability are of primary relevance. Classical test theory, generalizability theory, and item response theory are examples of theoretical frameworks.
a) They enable academics to investigate a theory's construct validity.
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A big school bus was 2/7 full when it left Area A. When it arrived at Area B, 9 children alighted the bus and there were 31 children on the bus after that. How many children can fit into the big school bus?
The total capacity of the big school bus is 140 children.
To find out how many children can fit into the big school bus, let's work through the given information step by step.
When the bus left Area A, it was 2/7 full. This means that 2/7 of the bus's capacity was occupied by children. Let's represent the total capacity of the bus as 'x'. Therefore, 2/7 of 'x' corresponds to the number of children on the bus when it left Area A.
After the bus arrived at Area B, 9 children alighted, which means the number of children decreased by 9. We are then told that there were 31 children remaining on the bus. So, the number of children on the bus before any alighted was 31 + 9 = 40.
Since 2/7 of the bus's capacity was occupied by children when it left Area A, we can set up the following equation:
(2/7) * x = 40
To solve for 'x', we can multiply both sides of the equation by (7/2):
x = 40 * (7/2)
x = 140
Therefore, the total capacity of the big school bus is 140 children.
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Noah is making soup for a family reunion of 30 people. Each pot he makes contains 6 liters of soup. He uses bowl that 400mL to serve the soup to his family
The true statements are (A) 30×400 ml equal the total number of milliliters for 30 bowls of soup
(B) 30 bowls of soup hold 12,000 ml, which is same as 12 Litres
(C) Noah can multiply the number of bowls of soup by 1,000 to find the number of litres
(D) If each family member has 2 bowls of soup , Noah need to make 24 litres of soup
There are 30 people and each person is served soup in a 400 ml bowl, so the total amount of soup needed is 30 × 400 ml = 12,000 ml.
Option A is true
30 bowls of soup hold 30 × 400 ml = 12,000 ml, which is the same as 12 litres (since 1 litre = 1,000 ml).
Option B is true
Since 1 litre = 1,000 ml
Noah can multiply the number of bowls of soup by 1,000 to find the number of litres.
For example, 30 bowls of soup hold 12,000 ml = 12 litres.
Option C is true
If each family member has 2 bowls of soup, then the total amount of soup needed is
30 × 2 × 400 ml
= 24,000 ml, which is 24 litres (since 1 litre = 1,000 ml).
Option D is true.
Noah needs to make 24 litres of soup, and each pot contains 6 litres of soup.
Therefore, he would need to make 24 ÷ 6 = 4 pots of soup to serve each family member 2 bowls of soup.
Option E is false.
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Noah is making soup for a family reunion of 30 people. Each pot he makes contains 6 liters of soup. He uses bowl that 400mL to serve the soup to his family
Select all the true statements
(A) 30×400 ml equal the total number of milliliters for 30 bowls of soup
(B) 30 bowls of soup hold 12,000 ml, which is same as 12 Litres
(C) Noah can multiply the number of bowls of soup by 1,000 to find the number of litres
(D) If each family member has 2 bowls of soup , Noah need to make 24 litres of soup
(E) Noah would need to make 2 pots of soup for each family member to have 2 bowls of soup
The sum of 1/2 and y is equal to 3/4. Enter the equation that represents the description
Answer:
1/2 + y = 3/4Step-by-step explanation:
The sum of 1/2 and y is equal to 3/4.
The equation to represent this is:
1/2 + y = 3/4Select the correct solution for 12x = 60.
O A. x = }
B. X = 5
C. X = 48
O D. x = 72
Answer:
B.5
Step-by-step explanation:
5*12=60
Suppose you need to borrow $4,000 to take a vacation trip to Bangkok. The bank offers a 24-month instalment blan with an interest rate of 8% ver vear. How much would vour monthly payment be?
The monthly payment for the 24-month installment plan to borrow $4,000 with an interest rate of 8% per year is approximately $176.65.
To calculate the monthly payment for the 24-month installment plan, we need to use the formula for calculating the monthly payment on a loan. The formula is:
M = P * (r * (1+r)ⁿ) / ((1+r)ⁿ⁻¹)
Where:
M is the monthly payment
P is the principal amount (in this case, $4,000)
r is the monthly interest rate (8% per year = 0.08/12 = 0.0067 per month)
n is the total number of payments (24)
Plugging in these values into the formula, we get:
M = 4000 * (0.0067 * (1+0.0067)²⁴) / ((1+0.0067)²⁴⁻¹)
Simplifying the equation, we find that the monthly payment will be approximately $176.65.
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Convert 40% to a fraction, in simplest form.
Answer:
\( \frac{2}{5} \)
You must decide whether to buy new machinery to produce product X or to modify existing machinery. You believe the probability of a prosperous economy next year is 0.7. Prepare a decision tree and use it to calculate the expected value of the buy new option. The payoff table is provided below (+ for profits and - for losses).
When entering the answer, do not use the $ symbol. Do not enter the thousand separator. Enter up to 2 decimal places after the decimal point. For example, $6,525.35 must be entered as 6525.35
N1: Prosperity ($) N2: Recession ($)
A1 (Buy New) $1,035,332 $-150,000
A2(Modify) $823,625 $293,648
The expected value of the "Buy New" option is 724732.60.
Decision Tree:
To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:
Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:
Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)
Substituting the given values in the above formula, we get:
Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60
Therefore, the expected value of the "Buy New" option is 724,732.60.
Conclusion:
To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.
The expected value of the "Buy New" option is 724,732.60.
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y-intercept: -intercept: y 3+ 2+ 1+ -14-13-12-11-10-9 -8 -7 -6 -5 -4 -3 -2 1 2 3 4 -27 -37 -77 -st -9+ -107
As we can see from the graph, the line crosses the y axis at the point (0,-6), so that's the y-intercept.
Similarly, we can see the graph corssing the x axis at the point (-8,0), which is the x-intercept.
Since the only axes we are given are x and y, there is no z-intercept.
Determine whether the sequence an = 2^n-5^n/6^n is convergent. If it is, find its limit.
The sequence an = (2^n - 5^n) / 6^n is convergent, and its limit is 0.
To determine whether the sequence an = (2^n - 5^n) / 6^n is convergent and find its limit, follow these steps:
Rewrite the sequence using exponent properties: an = (2/6)^n - (5/6)^n = (1/3)^n - (5/6)^n. Observe that both terms are geometric sequences with a common ratio between -1 and 1, namely 1/3 and 5/6. Since the common ratios are between -1 and 1, both geometric sequences are convergent.
Apply the limit properties: lim (n→∞) [(1/3)^n - (5/6)^n] = lim (n→∞) (1/3)^n - lim (n→∞) (5/6)^n. As n approaches infinity, both (1/3)^n and (5/6)^n approach 0, because their common ratios are less than 1. Therefore, the limit is 0 - 0 = 0.
So, the sequence an = (2^n - 5^n) / 6^n is convergent, and its limit is 0.
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Lisa has 3 ribbons she won at the track meet over the weekend. A 1st place ribbon, a 2nd ribbon, and a 3rd place ribbon. The 2nd place ribbon is 4/5 of the length of the 1st place ribbon. The 2nd place ribbon is 1/2 the length of the 3rd place ribbon. The length of the 3rd place ribbon is 90 centimeters longer than the 1st place ribbon. How long is the 2nd place ribbon?
Answer:
20cm
Step-by-step explanation:
90cm ÷ 1/2 the length 90 = 20cm
The slant height if the cone is 26 cm. what is the volume of a cone having a radius of 10 cm and a slant height of 26 cm.
Therefore, the volume of the cone is approximately 800π cubic centimeters, or approximately 2512.44 cubic centimeters when rounded to two decimal places.
What is volume?Volume is a measure of the amount of space occupied by a three-dimensional object or a substance. The volume of a solid object can be determined by measuring its dimensions, such as its length, width, and height, and applying an appropriate mathematical formula depending on its shape.
Here,
The volume of a cone can be calculated using the formula:
V = (1/3)πr²h
where r is the radius of the base, h is the height of the cone, and π is a constant equal to approximately 3.14. In this case, we are given the radius of the cone as 10 cm and the slant height as 26 cm. We can use the Pythagorean theorem to find the height of the cone:
h² = (slant height)² - (radius)²
h² = 26² - 10²
h² = 576
h = √576
h = 24
Now that we have the height of the cone, we can use the formula for the volume of a cone:
V = (1/3)πr²h
V = (1/3)π(10²)(24)
V = (1/3)π(100)(24)
V = (1/3)(2400π)
V = 800π
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Answer:
Volumeof a cone=2,723.8095238095
Step-by-step explanation:
Slant height = 26cm
radius = 10cm
volume of a cone = ‽
The volume of cone =
\(v = \frac{1}{3} \pi {r}^{2} h\)
\(v = \frac{1}{3} \times \frac{22}{7} \times 10 \times 10 \times 26 \\ \frac{1}{3} \times \frac{22}{7} \times 100 \times 26 \\ = \frac{22}{21} \times 2600 \\ = \frac{57200}{21} \\ = 2,723.8095238095cm\)
Skittle Color Number of Skittles in Bag Blue 14 Purple 16 Yellow 11 Green 21 Orange 14 What percentage of the Skittles are blue?
Answer:
18.4%
Step-by-step explanation:
Blue = 14
Purple = 16
Yellow = 11
Green = 21
Orange = 14
Total number of Skittles = 14 + 16 + 11 + 21 + 14
= 76
What percentage of the Skittles are blue?
Percentage of blue Skittles = 14/76 × 100
= 0.1842105263157 × 100
= 18.42%
Approximately 18.4%
PLS HELP ASAP !!!!!PLS
Answer:
The answer is \(3x^{3} - 19x^{2} + 17x + 4\)
Step-by-step explanation:
\(( 3x - 4 ) ( x^{2} - 5x - 1 ) \\= 3x^{3} - 15x^{2} - 3x - 4x^{2} + 20x + 4\\= 3x^{3} - 19x^{2} + 17x + 4\)
Square number between 40 and 48
Emika has a monthly budget for her cell phone bill.
Last month she spent 120% of her budget, and the bill
was $60.
What is Emika's monthly budget?
Emika's monthly budget is $60.
A percentage can be described as the fraction of a number multiplied by 100. The sign used to represent percentages is %.
Let Emika's cell phone bill budget be represented with x.
In order to determine his monthly budget, divide $60 by 120%
x = $60 / 120%
x = $60 / 1.20
x = $50
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will give brainly just help its due soon
Answer:
n = 10
Step-by-step explanation:
20/4 = 50/n
20n = 50 x 4
20n = 200
n = 10
Hope that helps!
What Square root equals 11
. In a sample of 123 hip surgeries of a certain type, the average surgery time was 136.9 minutes with a standard deviation of 22.6 minutes. Construct a 95% confidence interval for the mean surgery time for this procedure.
A. (132.9, 140.9)
B. (114.3, 159.5)
C. (130.5, 145.8)
D. (131.6, 142.2)
The correct option is A. The 95% confidence interval for the mean surgery time is approximately (132.9, 140.9) minutes.
How to construct 95% confidence interval?To construct a 95% confidence interval for the mean surgery time, we can use the formula:
Confidence interval = sample mean ± (critical value * standard error)
The critical value depends on the desired confidence level and the sample size. For a 95% confidence level and a large sample size (n > 30), the critical value is approximately 1.96.
The standard error is calculated by dividing the standard deviation by the square root of the sample size:
Standard error = standard deviation / √(sample size)
Given:
Sample size (n) = 123
Sample mean = 136.9 minutes
Standard deviation = 22.6 minutes
Let's calculate the confidence interval:
Standard error = 22.6 / √(123) ≈ 2.038
Confidence interval = 136.9 ± (1.96 * 2.038) ≈ (132.9, 140.9)
Therefore, the correct option is A. (132.9, 140.9).
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Consider a line process with 3 processing stages. The production requires each unit to go through Stage A through Stage C in sequence. The characteristics of the Stages are given below: Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100% Determine the system capacity. Which stage is the bottleneck? What is the utilization of Stage 3.
The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.
A line process has three processing stages with the characteristics given below:
Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%
To determine the system capacity and the bottleneck stage and utilization of Stage 3:
The system capacity is calculated by the product of the processing capacity of each stage:
1 x 1 x 2 = 2 units per minute
The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:
Process time per unit = 1 + 2 + 3 = 6 minutes per unit
Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit
The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.
However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.
Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.
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Seriously cannot figure this out please help now
Answer:
x = 4 ; a = 15 ; b= -2
Step-by-step explanation:
A 40-foot flagpole casts a 25-foot
shadow. How long is the shadow
cast by a nearby building that is
200 feet tall?