9514 1404 393
Answer:
(-5,1)
Step-by-step explanation:
To eliminate x, multiply the first equation by 3 and add 2 times the second equation.
3(-2x +7y) +2(3x -4y) = 3(17) +2(-19)
-6x +21y +6x -8y = 51 -38
13y = 13
y = 1 . . . . . matches the third answer choice
(x, y) = (-5, 1)
What steps would you need to follow if you wanted to put 4, V7, and V5
in order from least to greatest.
In math, "least to greatest" means arranging a set of numbers in ascending order, from the smallest value to the largest value. It is also known as "ascending order".
In order to put 4, V7, and V5 in order from least to greatest, you would need to follow a few steps.
Firstly, you need to convert the Roman numerals into their corresponding Arabic numerals. V stands for 5 and VII stands for 7. Once you have done this, you can compare the numbers to put them in order.
So, the numbers you have to compare are 4, 5, and 7. 4 is the smallest number, so it will be first. Next is 5, which is the equivalent of V, so it comes before VII. Finally, 7 (or VII) is the largest number, so it comes last.
Therefore, the order from least to greatest would be: 4, V5, V7. It is important to note that when comparing Roman numerals, you must convert them to Arabic numerals before making any comparisons.
To know more about ascending order visit:
https://brainly.com/question/31946606
#SPJ11
a ______ is a way to organize qualitative data into categories and record the number of observations in each category.
Frequency distribution is a way to organize qualitative data into categories and record the number of observations in each category.
Differentiate between frequency distribution and relative frequency ?
A frequency distribution lists how frequently each category of data occurs, but a relative frequency analysis lists how frequently each types of information occurs.
One approach to organise data is to use a "frequency distribution," which can be done by listing the data, placing it in a table, or displaying it in a graph. Then, the list's entries (distinct values) are counted in terms of how frequently they have occurred.
Define relative frequency distribution
A "relative frequency distribution," on the other hand, refers to the percentage of the total number of observations that fall into a certain group. Divide each frequency by the total amount of data in the sample to obtain this.
what is qualitative data ?
Quantitative data are counts or measures, whereas qualitative data describe categories. Examples of qualitative data include eye colours and shoe brand names in a consumer survey. Examples of quantitative data are student heights and test results.
To know more about qualitative data visit :
https://brainly.com/question/14280756
#SPJ4
find the distance between points I and T
Answer:
The distance between I and T is 1.5
Step-by-step explanation:
Identify each spots value: each spot is worth 0.5
Identify how many spots are in between your points: there are 3
multiply the value and amount: 0.5 × 3 = 1.5
Answer:
\(\displaystyle 1\frac{1}{2}\)
Step-by-step explanation:
Each mark represents \(\displaystyle \frac{1}{2},\)therefore you have this:
\(\displaystyle -3\frac{1}{2} + 5 \Rightarrow -3\frac{1}{2} + 4\frac{2}{2} \\ \\ \boxed{1\frac{1}{2}}\)
I am joyous to assist you at any time.
Solve algebraically.
16*4^(x-2) = 64^-2x
According to given information, answer is \(x = 2/3\).
The equation is \(16 * 4^{(x - 2)} = 64^{-2x}\).
Let's begin by simplifying both sides of the equation \(16 * 4^{(x - 2)} = 64^{-2x}\).
We can write \(64^{-2x}\) in terms of \(4^{(x - 2}\).
Observe that 64 is equal to \(4^3\).
So, we have \(64^{(-2x)} = (4^3)^{-2x} = 4^{-6x}\)
Hence, the given equation becomes \(16 * 4^{(x - 2)} = 4^{(-6x)}\)
Let's convert both sides of the equation into a common base and solve the resulting equation using the laws of exponents.
\(16 * 4^{(x - 2)} = 4^{(-6x)}\)
\(16 * 2^{(2(x - 2))} = 2^{(-6x)}\)
\(2^{(4 + 2x - 4)} = 2^{(-6x)}\)
\(2^{(2x)} = 2^{(-6x)}\)
\(2^{(2x + 6x)} = 12x\)
Hence, \(x = 2/3\).
Answer: \(x = 2/3\).
To know more about equation, visit:
https://brainly.com/question/29657983
#SPJ11
The cost for cars entering President George Bush Turnpike at Beltline road is given by the relation x=0.75, where x is the dollar amount for entrance to the toll road and y is the number of passengers. Determine if this relation is a function. Explain.
This means that one input value of x is associated with multiple output values of y, violating the definition of a function.
The relation x = 0.75 is not a function because it violates the vertical line test. In a function, each input value (x) should correspond to a unique output value (y). However, in this relation, a specific value of x (0.75) is associated with multiple values of y, as there can be different numbers of passengers (y) in a car paying the same toll amount.
For example, if x = 0.75, y can be 1 (driver only), 2 (driver and one passenger), 3 (driver and two passengers), and so on. This means that one input value of x is associated with multiple output values of y, violating the definition of a function.
Learn more about function here
https://brainly.com/question/31062578
#SPJ11
Please help!ill mark you the brainlist!!!!
Answer:
D 58
Step-by-step explanation:
because it is half of 116 which is the whole angle, so if it bisects it is half
Answer:
d) 58
Step-by-step explanation:
Now by my knowledge that should be correct, but if not I'm sorry and I tried. But, I do hope it helps.
0 0
U
what is the probability of getting a sum of 7 from two dice given that the first die shows 1, 2, or 3
The probability of getting a sum of 7 from two dice given that the first die shows 1, 2, or 3 is 1/6.To find the probability, we need to determine number of favorable outcomes and total number of possible outcomes.
When the first die shows 1, 2, or 3, the possible outcomes for the second die to yield a sum of 7 are (6, 1), (5, 2), and (4, 3), respectively. This gives us three favorable outcomes.
Since each die has 6 possible outcomes, the total number of possible outcomes for the second die is 6.
Therefore, the probability is given by 3 favorable outcomes divided by 6 possible outcomes, which simplifies to 1/6.
To learn more about probability click here : brainly.com/question/32575887
#SPJ11
Julia has five nickels, two dimes, and three pennies in her pocket. If she selects a coin at random from her pocket, what is the probability it will be a penny?
Options:
2/8
3/7
2/10
3/10
Answer:
4. 3/10
Step-by-step explanation:
I believe it would be answer 4 because there are 10 coins in all and 3 pennies, making the ratio 3:10
If:
AC = 64,
AB = 72 +8, and
BC = 3.2 + 6.
Find BC.
Answer:
21
Step-by-step explanation:
Step 1:
10x + 14 = 64
Step 2:
10x = 50
Step 3:
50 ÷ 10
Step 4:
x = 5
Step 4:
15 + 6
Answer:
21
Hope This Helps :)
Answer:
7x+8+3x+6=64
10x+14=64
10x=50
X=5
BC=3 x 5+6= 21
Helpp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! GEOMETRY
Geometry is a topic that deals with shapes, lines and angles. The explanation below is required to show the reasons for the statements are given below:
A triangle has three straight sides and three internal angles. The sum of the internal angles of a triangle is \(180^{o}\). Triangles can generally be classifies with respect to the size of angles, or according to the length of sides. Some common types are; right angles, obtuse angled, acute angle, isosceles, equilateral and scalene.
A right angled triangle is a type which has two of its sides at \(90^{o}\) to each other.
Therefore, the required statements and reasons to prove that <JLK ≅ <LJM are:
STATEMENT REASON
1. ΔJKL and ΔLMJ are right triangles Given
2. JK ≅ LM Hypotenuse-Leg (HL)
3. Jl ≅ LJ Reflexive property
4. ΔJKL ≅ ΔLMJ CPCTC
5. <JLK ≅ <LJM Symmetric property
Thus, <JLK ≅ <LJM
Learn more on properties of a right angled triangle at https://brainly.com/question/15249087
#SPJ1
Order the values from least to greatest.
Answer:
In order of least to greatest- 99%, -9.9, sqaure root of 80, 1/9, sqaure root of 9, 19%
Step-by-step explanation:
Write as an absolute value inequality. One-third of a number is at least 5 units from 31.
The mathematical form of the word phrase as given in the task content is; | (x/3) -31 | = 31.
What is the written form of the word phrase as given in the task content?It follows from the task content the given word phrase is; One-third of a number is at least 5 units from 31.
On this note, the absolute value inequality is;
| (x/3) -31 | = 31.
Read more on absolute value inequality;
https://brainly.com/question/28093318
#SPJ4
An experiment will be conducted to test the efficacy of a weight loss supplement. Volunteers will be randomly assigned to take either the supplement or a placebo for 90 days, with 12 volunteers in each group. The subjects will not know which treatment they receive. At the end of the experiment, researchers plan to calculate the mean weight loss for each of the two groups and to construct a Welch's two-sample t-confidence interval for the difference of the two treatment means. Choose whether each of the following assumptions are necessary for the confidence interval to be valid. a. The sample sizes must be equal _____ b. The population standard deviations must be unequal_____
c. The distribution of weight loss of the two treatments are approximately normally distributed_____
d. The volunteers in the supplement group are paired with volunteers in the placebo group_____
e. The expected number of people who lose weight in each group is at least 5._____
a. The sample sizes must be equal: False. While equal sample sizes can improve the statistical power of the test, they are not necessary for the confidence interval to be valid.
b. The population standard deviations must be unequal: False. Welch's two-sample t-confidence interval can handle unequal population standard deviations, but it is not a requirement.
c. The distribution of weight loss of the two treatments are approximately normally distributed: True. For the confidence interval to be valid, the weight loss distributions should be approximately normal. This is a key assumption in t-tests.
d. The volunteers in the supplement group are paired with volunteers in the placebo group: False. This would be a requirement for a paired t-test, not a Welch's two-sample t-test. The volunteers are randomly assigned, so there is no pairing.
e. The expected number of people who lose weight in each group is at least 5: False. This condition relates to the expected frequencies in a chi-square test, not a Welch's two-sample t-test. The validity of the confidence interval does not depend on this condition.
To know more about confidence interval visit:
https://brainly.com/question/24131141
#SPJ11
Julissa wants to find the perimeter of her bedroom that is similar to her brother's. If her brother's bedroom is 12 ft long and 10 ft wide and her bedroom is 10 feet long, what is the perimeter of her room? What is the perimeter of her room? (Round to the nearest tenth).
A new car is purchased for 24300 dollars. The value of the car depreciates at 15% per year. To the nearest year, how long will it be until the value of the car is 5600 dollars?
Answer:
9 years
Step-by-step explanation:
Losing 15 % means 85% remains
so multiply each year's value by .85 to find the current value
after 'n' years it will be 24300 * .85^n
when will it be 5600 ?
5600 = 24300 * .85^n
5600/24300 = .85^n
now you need to take the log of both sides and solve for 'n' years
log ( 5600/24300) / log(.85) = n = 9.031 = ~~ 9 years
What is the slope of the line that passes through points (0, 7) and (−3, 0)?
A. -7/3
B. 7/3
C. -3/7
D. 3/7
PLEASE HELP
Tell whether y is directly proportional to x or not based on the data in the table.
Answer:
yes tax is .7 per dollar there for every dollar u spend u pay an extra .7
Given that a bag of M & Ms has 21 brown candies, 15 orange candies, 10 yellow candies, 14 red candies, and 5 green candies, find the following probabilities. Enter all answers as reduced fraction. Do not use any spaces in your answers.
What is the probability of choosing a green M & M, eating it, and then choosing a brown M & M?
P( Answer
B | G
)= Answer
What is the probability of choosing a red M & M on the second try given that the first M & M was red and it was eaten?
Answer:
Step-by-step explanation:
These both are independent events. Neither is really a conditional probability. It's like asking "What the chances of getting a heads given that you got a tails in the previous through?" The answer is 1/2 if it is a fair coin.
So the total number of M and Ms is
21+ 15 + 10 + 14 + 5 = 65
5/65 * 14/64 = 0.0168 Be careful you you put that in your calculator.
Part B is a bit harder.
14/65 * 13/64 = 0.04375
9(-14)(−2)=
A -15
B 128
C 252
D -252
Answer:
the answer is c
Step-by-step explanation:
add 14 9 times and then whatever that number is double it and remove the negative sign
Annette has 1/4 yard of fabric. She cuts it into 3 equal pieces. Each piece of fabric is ______ yard.
Answer:
0.083
Step-by-step explanation:
I think
ari thinks the perfect milkshake has 5 scoops of ice cream for every 3 spoonfuls of caramel. freeze zone makes batches of milkshakes with 10 scoops of ice cream and 7 spoonfuls of caramel. what will ari think about the amount of caramel in freeze zone's milkshakes?
Answer:
Step-by-step explanation:
Since we have been given that
Ari has 3 ounces of caramel for each 5 scoops of frozen yogurt .
Freeze Zone makes bunches of milkshakes with 6 ounces of caramel and 8 scoops of frozen yogurt.
As per Ari,
For each 5 scoops of frozen yogurt, he wants 3 ounces of caramel
For each 1 scoop of frozen yogurt, he wants
3 ounces of Caramel
For each 8 scoops of frozen yogurt, he wants
3/5 * 8 = 24/5= 4.8 ounces
In this way, Ari considers sum caramel is something else for ideal milkshake as there is just requirement for 4.8 ounces of caramel however Freeze Zone is utilizing 6 ounces of caramel.
Answer:
Step-by-step explanation:
5456
Suppose that the lengths of human pregnancies are normally distributed with a mean of 265 days and a standard deviation of 14 days. Complete the following statements.(a) Approximately 68% of pregnancies have lengths between (blank) days and (blank) days.(b) Approximately (Blank) of pregnancies have lengths between 237 days and 293 days.
(a) Approximately 68% of pregnancies have lengths between 251 days and 279 days.
(b) Approximately 95% of pregnancies have lengths between 237 days and 293 days.
We have given that,
lengths of human pregnancies are normally distributed with a mean of 265 days and a standard deviation of 14 days,
(a)
To find the length of 68% of pregnancies we know the formula,
days ± standard deviation
Therefore
265 - 14 = 251
265 + 14 = 279
Hence approximately 68% of pregnancies have lengths between 251 days and 278 days.
(b)
From the section (a) 68% of pregnancies have lengths between 251 days and 278 days.
Now we will check for 95%
so the formula is
days ± 2× standard deviation
⇒ 265 - 2 × 14 = 237
and 265 + 2 × 14 = 293
Therefore approximately 95% of pregnancies lengths between 237 days and 293 days.
To know more about lengths here
https://brainly.com/question/15042490
#SPJ4
An ordinary deck of 52 cards is randomly divided into 4 piles of 13 each. What is the probability that all piles have exactly one Ace?
The probability that all four piles have exactly one Ace is 1 / (13 * 17 * 50 * 49), which is approximately 0.00014424.
To find the probability that all four piles have exactly one Ace, we can consider the number of ways to distribute the Aces and the total number of possible distributions.
There are 4 Aces in the deck, and each pile should receive exactly one Ace. The first Ace can be placed in any of the 52 cards, the second Ace in any of the remaining 51 cards, the third Ace in any of the remaining 50 cards, and the fourth Ace in any of the remaining 49 cards.
So, the total number of possible distributions is 52 * 51 * 50 * 49.
To calculate the probability, we need to divide the number of favorable outcomes (where all piles have exactly one Ace) by the total number of possible distributions.
Since each Ace can be distributed to any of the 4 piles, the number of favorable outcomes is 4 * 3 * 2 * 1.
Therefore, the probability is (4 * 3 * 2 * 1) / (52 * 51 * 50 * 49), which simplifies to 1 / (13 * 17 * 50 * 49).
To learn more about probability refer here:
https://brainly.com/question/31120123#
#SPJ11
A circular curve having an azimuth of back tangent
equal to 185 degrees
and the azimuth of the forward tangent equal to 222 degrees. Find
the
length of the tangent if the external distance is 7.30 m
The length of the tangent in the circular curve is approximately 22.256 meters. To calculate the length of the tangent, we can use the formula:
Length of Tangent = External Distance / tan(Azimuthal Difference / 2)
Given that the external distance is 7.30 m and the azimuthal difference between the forward and back tangents is 37 degrees, we can substitute these values into the formula:
Length of Tangent = 7.30 m / tan(37 degrees / 2)
Now let's solve this expression step by step:
1. Calculate the value inside the tangent function:
37 degrees / 2 = 18.5 degrees
2. Calculate the tangent of 18.5 degrees:
tan(18.5 degrees) ≈ 0.328
3. Divide the external distance by the tangent value:
Length of Tangent = 7.30 m / 0.328 ≈ 22.256 m
In conclusion, by substituting the given values into the formula and performing the calculations, we find that the length of the tangent is approximately 22.256 meters.
Learn more about length of the tangent here:
brainly.com/question/3810215
#SPJ11
Which of the following transformations would map CD on C'D'
hello, first we need to know what color represents each line segment.
Look at the figure: CD is represented in green, and C'D is represented in blue.
Now, let's look at the points of each one:
CD: (2,1) and (3(-4)
C'D': (-1,2) and (4,3)
To solve this question, we need to rotate the green line segment to the same position as the blue line segment.
So, if we rotate 90 degrees in the clockwise, we will have:
(-2, 1) and (-3, -4)
If we rotate 90 degrees in the counterclockwise, we will have:
(-1,2) and (4,3). This are the same points of the line segment C'D'
Why do London taxi drivers have larger hippocampuses?
Answer:
London taxi drivers have larger hippocampuses because their job requires them to memorize complicated routes, landmarks, and streets. The hippocampus is the part of the brain responsible for spatial navigation and memory, so the larger hippocampus of London taxi drivers is likely due to the increased use of this area of the brain as a result of their job.
assessment started: unit 8 progress check: mcq part a. item 1 let f be the function given by f(x)=3xsinx. what is the average value of f on the closed interval 1≤x≤7 ?
To find the exact value, we would need to evaluate the definite integral, but it may not be practical to do so without further information or using numerical methods.
To find the average value of a function on a closed interval, you need to calculate the definite integral of the function over that interval and divide it by the length of the interval. In this case, we want to find the average value of the function f(x) = 3xsin(x) on the interval 1 ≤ x ≤ 7.
The average value of f on the interval [1, 7] is given by the formula:
Average value = (1/(b - a)) * ∫[a to b] f(x) dx
where a and b are the endpoints of the interval.
In our case, a = 1, b = 7, and f(x) = 3xsin(x). So, we can calculate the average value as follows:
Average value = (1/(7 - 1)) * ∫[1 to 7] (3xsin(x)) dx
Know more about integral here:
https://brainly.com/question/31059545
#SPJ11
A shark descended 32.6 feet to catch a fish. The shark is now at 82.25 feet. What was his starting point?
Answer:
49.65
Step-by-step explanation:
Answer:
49.65 Feet
Step-by-step explanation:
You subtract 32.6 From 82.25 and that will give you his starting point Hope this helps
KM=
What is the measure of KM?
Help please
the american bankers association reported that, in a sample of 120 consumer purchases in france, 60 were made with cash, compared with 26 in a sample of 50 consumer purchases in the united states. construct a 90 percent confidence interval for the difference in proportions. (round your intermediate value and final answers to 4 decimal places.)
We are 90% confident that the true difference in proportions between France and the United States falls between -0.1783 and 0.1383.
What is proportion?
The size, number, or amount of one thing or group as compared to the size, number, or amount of another. The proportion of boys to girls in our class is three to one.
The point estimate for the difference in proportions between France and the United States is:
p₁ - p₂ = (60/120) - (26/50) = 0.5 - 0.52 = -0.02
We can use the following formula to calculate the standard error of the difference in proportions:
SE = √(p₁ * (1 - p₁) / n₁ + p₂ * (1 - p₂) / n₂)
where n₁ and n₂ are the sample sizes.
SE = √((0.5 * 0.5 / 120) + (0.52 * 0.48 / 50))
SE = 0.0936
To construct a 90% confidence interval, we can use the formula:
(point estimate) ± (critical value) * (standard error)
The critical value for a two-sided 90% confidence interval with 169 degrees of freedom (calculated as df = (p₁ * n₁ + p₂ * n₂) / (p₁ + p₂)) can be found using a t-distribution table or calculator.
For a 90% confidence level, the critical value is approximately 1.656.
Using these values, the 90% confidence interval for the difference in proportions is:
-0.02 ± 1.656 * 0.0936
which simplifies to:
-0.1783 to 0.1383
Therefore, we are 90% confident that the true difference in proportions between France and the United States falls between -0.1783 and 0.1383.
To learn more about the proportion visit:
brainly.com/question/870035
#SPJ4