Answer:
the y-intercept is 5
Step-by-step explanation:
given the linear function, y=mx+b, b is the y-intercept
hope this helps
Answer:
y- intercept = 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 7x + 5 ← is in slope- intercept form
with y- intercept c = 5
Need help asap! any kind of explanation will help
choose the best selection for the quadrilateral with vertices at following points
4,0 8,0 4,-4 8,-4
The given set of points (4,0), (8,0), (4,-4), and (8,-4) form a quadrilateral. To determine the best selection for the type of quadrilateral, we need to analyze its properties based on the given vertices.
Based on the provided points, the quadrilateral has two pairs of parallel sides: the segment connecting (4,0) and (8,0) is parallel to the segment connecting (4,-4) and (8,-4). Additionally, all sides of the quadrilateral have the same length, with each side measuring 4 units.
Considering these properties, the given quadrilateral is a rectangle. A rectangle is a special type of quadrilateral that has four right angles and opposite sides of equal length. Therefore, the best selection for the given quadrilateral with vertices at (4,0), (8,0), (4,-4), and (8,-4) is a rectangle.
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Answer:
Square
Step-by-step explanation:
he classical dichotomy is the separation of real and nominal variables. the following questions test your understanding of this distinction. taia divides all of her income between spending on digital movie rentals and americanos. in 2016, she earned an hourly wage of $28.00, the price of a digital movie rental was $7.00, and the price of a americano was $4.00. which of the following give the real value of a variable? check all that apply.
In the given scenario, the nominal variables are Taia's income, the price of a digital movie rental, and the price of an americano. The real variables would be Taia's income adjusted for inflation, the real price of a digital movie rental, and the real price of an americano.
To calculate the real value of a variable, we need to adjust it for inflation using a suitable price index. As the question does not provide any information about inflation, we cannot calculate the real value of any variable.
Therefore, none of the options given in the question would give the real value of a variable.
Hi! I'd be happy to help you with this question. In the context of the classical dichotomy, real variables are quantities or values that are adjusted for inflation, while nominal variables are unadjusted values.
In the given scenario, Taia spends her income on digital movie rentals and americanos. We have the following information for 2016:
1. Hourly wage: $28.00 (nominal variable)
2. Price of a digital movie rental: $7.00 (nominal variable)
3. Price of an americano: $4.00 (nominal variable)
To determine the real value of a variable, we need to adjust these nominal values for inflation. However, the question does not provide any information about the inflation rate or a base year for comparison. Thus, we cannot calculate the real values for these variables in this scenario.
In summary, we do not have enough information to determine the real value of any variable in this case. Please provide the inflation rate or base year if you'd like me to help you calculate the real values.
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67 x=?
Please help!
Find the difference!
Answer:
2x + 10
_______
x^3 - 4x
Step-by-step explanation:
this is the answer
On an uphill hike Ted climbs at 3mph. Going back down, he runs at 5mph. If it takes him forty minutes longer to climb up than run down, then what is the length of the hike? if possible, I would like a clear equation.
Answer:
He hiked 10 miles.
Step-by-step explanation:
rate x time = distance
The distance up and the distance down are equal
3 mi/1 hr x (h hours + 2/3 hr) = 5 mi/1 hr x h hours
3h + 2 = 5h
2 = 2h
h = 1 hour
3mi/hr x 1 2/3 hr = 5 miles
5 mi/hr x 1 hr = 5 miles
Valley Bank has four tellers. It takes a teller 8 minutes to serve one customer. What is the capacity of the bank in customers per hour? A. 15 B. 10 C. 8 D. 30
Since there are four tellers, the capacity of the bank in customers per hour = 4 x 7.5 = 30.
What is the capacity of the bank in customers per hour?Valley Bank has four tellers. It takes a teller 8 minutes to serve one customer.
The correct option is D. 30.
We are given that
Valley Bank has four tellers. It takes a teller 8 minutes to serve one customer.
To calculate the capacity of the bank in customers per hour, we need to find how many customers each teller can serve in an hour. To do this, we first need to convert the time taken to serve one customer from minutes to hours.
1 minute = 1/60 hoursSo, time taken to serve one customer
= 8 minutes
= 8/60 hours
= 2/15 hours
One teller can serve one customer in 2/15 hours.In one hour, the number of customers one teller can serve = 1/(2/15) = 15/2 = 7.5 (customers/hour)
Therefore, the capacity of one teller in customers per hour is 7.5.
Now, we need to find the capacity of the bank in customers per hour. Since there are four tellers, the capacity of the bank in customers per hour = 4 x 7.5 = 30.
So, the correct option is D. 30.
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a box contains six red light bulbs, nine blue light bulbs, and five green light bulbs. what is the probability of randomly selecting a red light bulb? (round to 2 decimal places) what is the probability of randomly selecting a blue light bulb? (round to 2 decimal places) what is the probability of randomly selecting a red light bulb or a blue light bulb? (round to 2 decimal places) what is the probability of randomly selecting a green light bulb? (round to 2 decimal places) what is the probability of randomly selecting a blue or a green light bulb? (round to 2 decimal places)
Using it's definition, the probabilities are given as follows:
Red: 0.3 = 30%.Blue: 0.45 = 45%.Red or Blue: 0.75 = 75%.Green: 0.25 = 25%.Blue or Green: 0.6 = 60%.What is a probability?The probability of an event in an experiment is calculated as the number of desired outcomes in the context of the experiment divided by the number of total outcomes in the context of the experiment.
The total number of bulbs in this problem is given as follows:
6 + 9 + 5 = 20.
Six of them are red, hence the probability of a red bulb is:
p = 6/20 = 0.3 = 30%.
Nine of them are blue, hence the probability of a blue bulb is:
p = 9/20 = 0.45 = 45%.
Five of them are green, hence the probability of a green bulb is:
p = 5/20 = 0.25 = 25%.
The probability of a red or blue bulb is:
p = 0.3 + 0.45 = 0.75.
The probability of a blue or green bulb is:
p = 0.45 + 0.25 = 0.6.
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Find the equation of the line through the point -7, 2 and parallel to y=2/5x-1/2
Y=
IT MEANS THE GRADIENT OF THE NEW EQUATION IS GOING TO BE
\( \frac{2}{5} \)
TOO
WE CAN SUBSTITUTE IN THE GENERAL EQUATION OF A STRAIGHT LINE y=mx+c TO GET C\(2 = \frac{2}{5} ( - 7) + c \\ 2 = \frac{ - 14}{5} + c \\ c = 2 + \frac{14}{5} \\ c = \frac{24}{5} \)
THE EQUATION PARALLEL TO THE ONE GIVEN NOW IS
\(y = \frac{2}{5} x + \frac{24}{5} \)
pat is to select $6$ cookies from a tray containing chocolate chip cookies, oatmeal cookies, and peanut butter cookies, where cookies of the same type are indistinguishable. there are at least $6$ of each of these $3$ kinds of cookies on the tray. how many different assortments of $6$ cookies can be selected?
The total number of different assortments of six cookies that can be selected is given by 1839.
Since cookies of the same type are not distinguishable,
Use combinations to count the number of different assortments of six cookies that can be selected.
Select six cookies from a tray containing chocolate chip, oatmeal, and peanut butter cookies.
At least six of each type of cookie,
Select all six cookies of the same type,
Or we can select some cookies from one type and the remaining cookies from another type,
Or we can select two cookies from each of the three types.
Total number of different assortments of six cookies that can be selected is,
Number of assortments with all six cookies of the same type,
There are three ways to do this (chocolate chip, oatmeal, or peanut butter).
Number of assortments with four cookies of one type and two cookies of another type,
There are three ways to select the type of cookie that appears four times,
And two ways to select the type of cookie that appears two times.
For each choice of cookie types,
There are 6 ways to select which of the 6 cookies are the ones that appear two times.
Total number of assortments is 3 x 2 x 6 = 36.
Number of assortments with two cookies of each type,
Select 2 cookies from each type, so we can use combinations.
There are 6 ways to select 2 cookies from the chocolate chip cookies,
And 15 ways to select 2 cookies from the oatmeal cookies
And 20 ways to select 2 cookies from the peanut butter cookies.
Total number of assortments is
6 x 15 x 20 = 1800.
Total number of different assortments of six cookies that can be selected is,
3 + 36 + 1800
= 1839
Therefore, there are 1839 different assortments of six cookies that can be selected from the tray containing at least six of each type of chocolate chip, oatmeal, and peanut butter cookies.
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classify each of the studies: the task is to match the lettered items with the correct numbered items. appearing below is a list of lettered items. following that is a list of numbered items. each numbered item is followed by a drop-down. select the letter in the drop down that best matches the numbered item with the lettered alternatives. a. occurrence of cancer was identified between april 1991 and july 2002 for 50,000 troops who served in the first gulf war (ended april 1991) and 50,000 troops who served elsewhere during the same period. b. subjects were children enrolled in a health maintenance organization. at 2 months, each child was randomly given one of two types of a new vaccine against rotavirus infection.
The occurrence of cancer was identified between april 1991 and july 2002 for 50,000 troops who served in the first gulf war (ended april 1991) and 50,000 troops who served elsewhere during the same period is observational study. subjects were children enrolled in a health maintenance organization is Randomized Controlled Trial.
In study A, two groups were identified based on their service during the Gulf War and elsewhere during the same period, and the occurrence of cancer was identified between April 1991 and July 2002. This study is an observational study, as the researchers did not assign any interventions or treatments to the participants, but rather just observed and collected data on the outcome of interest (cancer) in the two groups.
In study B, children enrolled in a health maintenance organization were randomly assigned to one of two types of a new vaccine against rotavirus infection. This study is a randomized controlled trial, as the researchers randomly assigned the intervention (vaccine type) to the participants and then observed the effect on the outcome of interest (rotavirus infection).
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2 ounces is the same as how many grams?
Answer:
56.699 grams
Step-by-step explanation:
Which ratio isn't equivalent to the others? a 2:1 b 9:3c 8:4d 10:5
Answer:
b. 9:3
Explanation:
To determine the equivalent ratios. reduce each to its lowest form:
\(\begin{gathered} 2\colon1=2\colon1 \\ 9\colon3=3\colon1 \\ 8\colon4=2\colon1 \\ 10\colon5=2\colon1 \end{gathered}\)Thus, the ratio that is not equivalent is 9:3.
CAN SOMEONE HELP ME
Which algebraic representation matches the reflection above?
OA. (x, y) = (x, y)
OB. (x, y) (-x, y)
Answer:
it should be number A hope that helps
Area of shaded triangle?(e) 15 cm 18 cm 6 cm 17 cm 5 cm 6 cm 9 cm (9) ( h) 10 cm 8 cm 8 cm 15 cm 1 10 cm 14 cm Chapter 6
The correct answer is option d) 60 cm^2.
The area of the triangle with side lengths 8 cm, 17 cm, and 15 cm can be calculated using Heron's formula. The correct answer can be found by substituting the side lengths into the formula and evaluating the expression.
To find the area of a triangle when the lengths of all three sides are known, we can use Heron's formula. Heron's formula states that the area of a triangle with side lengths a, b, and c is given by:
Area = sqrt(s(s - a)(s - b)(s - c))
where s is the semi-perimeter of the triangle, calculated as:
s = (a + b + c) / 2
In this case, the side lengths are given as 8 cm, 17 cm, and 15 cm. Plugging these values into the formula, we have:
s = (8 cm + 17 cm + 15 cm) / 2 = 20 cm
Area = sqrt(20 cm(20 cm - 8 cm)(20 cm - 17 cm)(20 cm - 15 cm))
= sqrt(20 cm * 12 cm * 3 cm * 5 cm)
= sqrt(3600 cm^2)
= 60 cm^2
Therefore, the correct answer is option d) 60 cm^2.
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the complete question is:
A triangle has sides 8 cm, 17 cm and 15 cm The area of the triangle is
a) 50 cm^2
b) 68 cm^2
c) 40 cm^2
d) 60 cm^2
What does x equal in this question
Angle a and angle b are supplementary angles. if measure angle A=(2x-14)degree and m angle B= (3x-6) degree, then find measure of angle A
we have: ∠A + ∠B = 90°
<=> (2x-14) + (3x-6) = 90° <=> 2x - 14 + 3x - 6 = 90°
<=> 5x + 20 = 90°
<=> 5x = 70°
<=> x = 14°
So: ∠A = 2x - 14 = 2.14 - 14 = 14°
Ok done. Thank to me :>
how do you solve these 2 task cards?
Answer:
DECIMAL TASK #30
$81.15
Step-by-step explanation:
12.95 x 2 = 25.9
or
12.95 + 12.95 = 25.9
and then
9.75 x 3 = 29.25
or
9.75 + 9.75 + 9.75 = 29.25
and then
the 26 from the popcorn and drinks
25.9 + 29.25 + 26 = 81.15
write a real world problem that can be solved using the distance formula
A bus traveling at an average rate of 50 kilometers per hour made the trip to town in 6 hours. If it had traveled at 45 kilometers per hour, how many more minutes would it have taken to make the trip?
(The formula for distance problems is: distance = rate × time or
d = r × t)
When a number is increased by 3 and the result is multiplied by 2, the product is 14. What is the number?
I WILL MARK BRAINLIEST IF YOU HELP ME PLZ I NEED TO GIVE THIS IN!!!
Answer:
4
Step-by-step explanation:
u divide 14 by 2 and then subtract 3
hope this helps!
Which is the better buy?
Frozen Peas
Cost (dollars)
Weight (ounces)
O Brand A
A B
2
16
3
28
O Brand B
O The unit cost is the same.
The better buy is given by the following brand:
Brand A.
How to obtain the better buy?The better buy is obtained applying the proportions in the context of the problem.
A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.
Then the better buy is given by the option with the lowest cost per ounce.
The cost per ounce for each brand is given as follows:
Brand A: 16/2 = $8 per ounce.Brand B: 28/3 = $9.3 per ounce.$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.
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< Sparx 2: Item B
< Back to task
Calculator
allowed
Calculate the bearing of Y from X.
Bookwork code: J08
X₂
106°
Watch video
14,473 XP
Not drawn accurately
Ismael Khan
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Answer
Note that the bearing of Y from X is 074°. See the explanation below.
Why is the above bearing so?The bearing of Y from X is the clockwise measure of the angle from the northline N to Y , that is
180° - 106° = 74°
Thus, the 3- figure bearing of Y from X is 074°
Recall that in mathematics, bearing refers to the direction or angle between a fixed reference point (usually north) and the direction of an object or point.
It is often measured in degrees clockwise from the reference point.
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a grand piano can weight 1 and half ton how many ounces can a grand piano weigh
Find the area for the given shape below.
4 ft
9 ft
Answer: I can’t see the shape
Step-by-step explanation:
but I still we help you if you are finding the area if a rectangle, you multiply the length by width. Like if the rectangle length is 7 and the width is 9 they you multiply it together which you get 63. If you are trying to find a area of a triangle then, duplicate the triangle and try to make a rectangle then caculate area of the rectangle and divide that area by two. Like this photo
hope this helps
Write a linear equation given the two points: (-3, -9) and (4, -2)
Find the projection of the vector v onto the subspace S.
S = span{ [1 1 0], [ 0 1 1]} v = [ 4 8 6]
The projection of the vector v onto the subspace S is [6 13 7].
The projection of the vector v onto the subspace S, we can use the formula for projection:
projᵥS = ((v⋅u₁)/||u₁||²)u₁ + ((v⋅u₂)/||u₂||²)u₂
where v is the vector we want to project, u₁ and u₂ are the basis vectors of the subspace S, ⋅ denotes the dot product, and || || represents the norm or magnitude of a vector.
In this case, the basis vectors of S are: u₁ = [1 1 0] u₂ = [0 1 1]
The vector v is: v = [4 8 6]
Now we can calculate the projection:
projᵥS = ((v⋅u₁)/||u₁||²)u₁ + ((v⋅u₂)/||u₂||²)u₂
Step 1: Calculate the dot products
v⋅u₁ = [4 8 6]⋅[1 1 0] = 4 + 8 + 0 = 12
v⋅u₂ = [4 8 6]⋅[0 1 1] = 0 + 8 + 6 = 14
Step 2: Calculate the norm squared
||u₁||² = ||[1 1 0]||² = (1² + 1² + 0²) = 2
||u₂||² = ||[0 1 1]||² = (0² + 1² + 1²) = 2
Step 3: Calculate the scalar factors
((v⋅u₁)/||u₁||²) = 12/2 = 6
((v⋅u₂)/||u₂||²) = 14/2 = 7
Step 4: Calculate the projection:
projᵥS = 6[1 1 0] + 7[0 1 1] = [6 6 0] + [0 7 7] = [6 13 7]
Therefore, the projection of the vector v onto the subspace S is [6 13 7].
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is the average (arithmetic mean) of x and y greater than 20?1. the average (arithmetic mean) of 2x and 2y is 48.2. x
After answering the provided question, we can conclude that the average (arithmetic mean) of 2x and 2y is 48.
What is mean?The mean of a dataset is the sum of all values divided by the total number of values; this is also known as the arithmetic mean (as opposed to the geometric mean). Often referred to as the "mean," this is the most often used measure of central tendency. Simply dividing the total number of values in the dataset by the sum of those values yields this result. Calculations can be performed using both raw data and data that has been combined into frequency tables. The average of a number is referred to as its average. It is simple to calculate: Divide the total number of digits by the number of digits. the total divided by the count.
The average (arithmetic mean) of 2x and 2y is 48.
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Growth of Douglas fir seedlings. An experiment was conducted to compare the growth of Douglas fir seedlings under three different levels of vegetation control (0%, 50%, and 100%). Sixteen seedlings were randomized to each level of control. The resulting sample means for stem volume were 58, 73, and 105 cubic centimeters (cm3), respectively, with sp = 17 cm3. The researcher hypothesized that the average growth at 50% control would be less than the average of the 0% and 100% levels. (a) What are the coefficients for testing this contrast? (b) Perform the test and report the test statistic, degrees of freedom, and P-value. Do the data provide evidence to support this hypothesis?
(a) The coefficients for testing this contrast are -1, 2, and -1. (b) \(n_{1}\)= \(n_{2}\) = \(n_{3}\) = 16, Degrees of freedom = 45, If the P-value is smaller than the significance level (e.g., α = 0.05), we reject the null hypothesis and conclude that there is evidence to support the hypothesis that the average growth at 50% vegetation control is less than the average growth at 0% and 100% control levels.
(a) To test the contrast hypothesis that the average growth at 50% vegetation control is less than the average growth at 0% and 100% control levels,
we can set up the following contrast coefficients:
Contrast coefficients: c = [-1, 2, -1]
which indicate the weight or contribution of each group mean to the contrast. The first coefficient (-1) represents the weight for the 0% control group, the second coefficient (2) represents the weight for the 50% control group, and the third coefficient (-1) represents the weight for the 100% control group.
(b) To perform the test,
we can use the contrast coefficients to calculate the test statistic and P-value.
Test statistic (t-value):
t = (\(c_{1}\) × \(X_{1}\) + \(c_{2}\) × \(X_{2}\) + \(c_{3}\) × \(X_{3}\)) / √ (\(sp^2\) × (\(c_{1}^{2} /n_{1}\) + \(c_{2} ^{2} /n_{2}\) + \(c_{3} ^{2} /n_{3}\)))
where:
\(c_{1}\), \(c_{2}\), \(c_{3}\) are the contrast coefficients
\(X_{1}\), \(X_{2}\), \(X_{3}\) are the sample means for each control level
sp is the pooled standard deviation
\(n_{1}\), \(n_{2}\), \(n_{3}\) are the sample sizes for each control level
Using the given values:
\(c_{1}\) = -1,
\(c_{2}\) = 2,
\(c_{3}\) = -1
\(X_{1}\) = 58,
\(X_{2}\)= 73,
\(X_{3}\) = 105
sp = 17
\(n_{1}\) = \(n_{2}\) = \(n_{3}\) = 16
Calculating the t-value:
t = (-1 × 58 + 2 × 73 - 1 × 105) / √ (\(17^2\) × (\(-1^2/16\) +\(2^2/16\) + \(-1^2/16\)))
Degrees of freedom:
df = \(n_{1}\) +\(n_{2}\) +\(n_{3}\) - 3
= 16 + 16 + 16 - 3
= 45
Using the calculated t-value and degrees of freedom,
we can determine the P-value from a t-distribution table or statistical software.
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An assembly line has 10 stations with times of 1, 2, 3, 4, …, 10, respectively. What is the bottleneck time?
The bottleneck time is 10, as this is the longest time for any station in the assembly line.
What is the bottleneck time?In this assembly line, the bottleneck time is 10. This is the amount of time it takes for a product to pass through the longest station, station 10, and is the limiting factor in the line's overall efficiency.This is referred to as the bottleneck time because it is the maximum time that can be achieved, regardless of how efficient the other nine stations are.The bottleneck time is an important concept in assembly line and production management, as it helps to determine the optimal speed of the line and the maximum output that can be achieved.If the bottleneck time is longer than necessary, it can lead to higher costs and slower production.To improve the bottleneck time, managers can look for ways to reduce the time it takes to complete each task, or reduce the number of tasks required.Additionally, managers may need to invest in additional resources, such as robots, to increase the speed of the bottleneck station.To learn more about The bottleneck time refer to:
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joe is a wrestler and during his workouts he loses 2 pounds. how much water would he have to drink to replenish this water weight loss?
Answer:
36 ounces or if over 150 lbs drink more water than 36 ounces
Step-by-step explanation:
For every pound of sweat you lose you need to drink 16 ounces of water!
"A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 65 months and a standard deviation of 6 months. Using the empirical rule (as presented in the book), what is the approximate percentage of cars that remain in service between 47 and 59 months
Answer:
83.85%
Step-by-step explanation:
Given that:
Mean (μ) = 65 months, Standard deviation (σ) = 6 months.
The empirical rule states that about 68% of the data falls within one standard deviation (μ ± σ), 95% of the data falls within two standard deviation (μ ± 2σ) and 99.7% of the data falls within three standard deviation (μ ± 3σ).
For the question above:
68% of the data falls within one standard deviation (μ ± σ) = (65 ± 6) = (59, 71) i.e between 59 months and 71 months
95% of the data falls within one standard deviation (μ ± 2σ) = (65 ± 12) = (53, 77) i.e between 53 months and 77 months
99.7% of the data falls within one standard deviation (μ ± 3σ) = (65 ± 18) = (47, 83) i.e between 47 months and 83 months
The percentage of cars that remain in service between 47 and 59 months = (68% ÷ 2) + (99.7% ÷ 2) = 34% + 49.85 = 83.85%