Answer:
A. ..........
Step-by-step explanation:
Find the value of x.
Answer:
1 15 degrees
Step-by-step explanation:
Exterior angle is equal to sum of opposite interior angles
Which numbers could be solutions to the inequality? −2(−3x+4)−5>−3(x+7)−19
The solution of the inequality −2(−3x+4) − 5 > −3(x+7) − 19 is x > -3.
How to solve inequality?Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤.
Therefore, let's solve the inequality as follows:
−2(−3x+4) − 5 > −3(x+7) − 19
let's open the brackets on both sides
−2(−3x+4) − 5 > −3(x+7) − 19
6x - 8 - 5 > -3x - 21 - 19
6x - 13 > -3x - 40
add 13 to both sides of the inequality
6x - 13 > -3x - 40
6x - 13 + 13 > -3x - 40 + 13
6x > -3x - 27
add 3x to both sides of the inequality
6x + 3x > -3x + 3x - 27
9x > -27
divide both sides by 9
x > -27 / 9
Hence,
x > -3
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What is the value of f(2)?
Answer:
The value of f(2) is 1
Step-by-step explanation:
Help please!
What’s the answer for graphing the piece wise function to get the right answer?
See attached plots.
The top one shows all three pieces plotted simultaneously, independent of their domains.
The bottom plot takes into account the domains and removes parts of each piece (the dashed gray parts) outside their respective domains.
code that Calculate what weekday it is calcWeekday day(int), input= month(str), output= weekday (str) Returns the weekday of the date year (int) (Week starts on Sunday)
The formula for determining the weekday given a date is [2]: w = (day + b2.6m − 0.2c − 2(cm − 1) + y + by/4c + b(cm − 1)/4c)mod7
where w is the inumeric value for the "weekday" (0=Sun,... ,6=Sat), d is the day, m is the "month", y is the year, and cm is the modified "century" (cm = c -1) applied only when the year is a new century (1800, 1900, 2000, 2100) and the month is either January or February (otherwise cm = c). The mnemonic to determine the number of days in a month is [3]:
To calculate the weekday without code, use the formula: w = (day + int(2.6 * \(month_num\) - 0.2 * century - 2 * (cm - 1) + year + year // 4 + cm // 4)) % 7. Convert the numeric weekday value (0-6) to the weekday name (Sunday-Saturday). For example, July 1, 2023, is a Saturday.
Without writing any code, you can perform the following steps to determine the weekday:
1. Determine the modified century (cm):
- Divide the year by 100 to get the century.
- If the month is either January or February and the century is divisible by 4, subtract 1 from the century. Otherwise, use the original century.
2. Convert the month name to the corresponding month number:
- Assign a number to each month: January = 1, February = 2, March = 3, and so on.
3. Calculate the weekday using the formula:
- Use the formula: w = (day + int(2.6 * \(month_num\) - 0.2 * century - 2 * (cm - 1) + year + year // 4 + cm // 4)) % 7.
- Here, w is the numeric value for the weekday, ranging from 0 (Sunday) to 6 (Saturday).
4. Convert the weekday number to the weekday name:
- Assign a name to each weekday: 0 = Sunday, 1 = Monday, 2 = Tuesday, and so on.
For example, let's find the weekday of July 1, 2023:
1. Determine the modified century:
- Year = 2023, Century = 20, cm = 20 - 1 = 19.
2. Convert the month name to the month number:
- July corresponds to month number 7.
3. Calculate the weekday using the formula:
- w = (1 + int(2.6 * 7 - 0.2 * 20 - 2 * (19 - 1) + 2023 + 2023 // 4 + 19 // 4)) % 7
- w = (1 + int(18.2 - 4 - 36 + 2023 + 505 + 4)) % 7
- w = (1 + int(2512.2)) % 7
- w = 1 + 2512 % 7
- w = 1 + 5
- w = 6
4. Convert the weekday number to the weekday name:
- The weekday is Saturday.
Therefore, July 1, 2023, falls on a Saturday.
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Find the volume of the prism below
The calculated volume of the prism is 702 cubic cm
Finding the volume of the prismFrom the question, we have the following parameters that can be used in our computation:
The trapezoidal prism
The formula of the volume of a trapezoidal prism is
Volume = Base area * Height
Where we have
Base area = 1/2 * (8 + 10) * 6
Evaluate the sum of 8 and 10
Base area = 1/2 * 18 * 6
Evaluate the products of 1/2, 18 and 6
Base area = 54
Also, we have
Height = 13
So, the volume is calculated as
volume = 13 * 54
Evaluate
volume = 702
Hence, the volume of the prism is 702 cubic cm
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for a posttest following anova, there are four different treatment groups. how many pairwise comparisons must be made to gain a complete understanding of which treatment effects differ significantly from others? a. 4 b. 6 c. 12 d. 24
There are 6 pairwise comparisons that need to be made in order to gain a complete understanding of which treatment effects differ significantly from others.
In order to determine which treatment effects differ significantly from others, we need to make pairwise comparisons between all possible pairs of treatment groups. Let's consider an example with four treatment groups labeled A, B, C, and D.
To determine which treatment effects differ significantly from others, we need to compare the mean scores of each treatment group with the mean scores of every other treatment group. This means we need to make the following pairwise comparisons:
A vs B
A vs C
A vs D
B vs C
B vs D
C vs D
Therefore, there are 6 pairwise comparisons that need to be made in order to gain a complete understanding of which treatment effects differ significantly from others.
It's worth noting that when making multiple pairwise comparisons, there is an increased risk of making a Type I error (i.e., rejecting the null hypothesis when it is actually true) due to the multiple testing problem. To control for this, researchers may choose to adjust the significance level or use methods such as the Bonferroni correction to adjust the p-values of the individual tests.
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A newspaper advertisement offers a $10 000 used car for nothing down and 36 monthly payments of $450. What is the interest rate used? How much interest will you have to pay if you purchase this car?
The interest paid if you purchase this car is $4,860.
What exactly is a monthly payment?A monthly payment is a payment made every month to pay off loans or advances. It's similar to EMI.
The interest rate used can be found using the formula: Interest rate = (monthly payment x number of payments) / principal.
Interest rate = (450 x 36) / 10000 = 16.2%
The interest rate used is 16.2%
The interest paid can be calculated using the formula: Interest = Principal x Interest rate x Number of payments / 12
Interest = 10000 x 0.162 x 36/12
Apply the multiplication operation, and we get
Interest = 4,860
Thus, the interest paid if you buy this car is $4,860
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15 points, Trigonometric ratios. Please write your answers as it says on the mandate, Thanks!
Step-by-step explanation:
sec X = WX/XY = 37/12 = 3 1/12
or 3.083
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
ok, so, since the angles in a traingle all sum up to 180°, that would make:
36°+61°+(4x-17)°=180°
We simplify it:
95°+(4x-17)°=180°
Then, we subtract 95° on both sides:
95°+(4x-17)°=180°
-95° -95°
Then we get:
4x-17°=85
We add 17° on both sides
4x-17°=85
+17° +17°
And we get:
4x=102°
Divide 4 on both sides...
4x=102°
➗4 ➗4
Therefor:
X=25.5
Hope this helps, but tell me if i'm wrong, and have a good day!
Calculate the value of x
Answer:
the answer is one and only 28
Marty’s bike ride is represented by the graph shown on the right.
What is Marty’s average speed? Explain how you arrived at this answer.
Marty’s average speed: ________________
Answer:
10 m/h
Step-by-step explanation:
By finding the slope of the line you find how fast he is traveling
mary wants to fill in a cylinder vase. the flower store told her to fill the vase 4/5 of the way for the flowers to last the longest. her cylinder vase has a radus of 4 inches and a hight of 6 inches. how much water should mary poor into the vase
Volume is a three-dimensional scalar quantity. The volume of the water that Marry should pour into the vase is 241.28 cubic inches.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the radius of the flower vase is 4 inches, while the height of the vase is 6 inches, therefore, the total volume of the vase is,
Volume = πR²×H = π× 4²×6 = 301.6 in³
Since the volume of the vase is 301.6 in³, but the store has told her to fill the vase 4/5 of its capacity, therefore, the volume of water Marry should pour is,
Volume of water = (4/5) × 301.6 in³ = 241.28 cubic inches
Hence, the volume of the water that Marry should pour into the vase is 241.28 cubic inches.
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Ridgewood Savings Bank charges a $27 per check overdraft protection fee. On July 8, Nancy had $1,400 in her account. Over the next 4 days, the following checks arrived for payment at her bank: July 9, $1,380.15; July 10, $670 and $95.67; July 11, $130; and July 12, $87.60.
How much will she owe the bank after July 12?
If Ridgewood Savings Bank charges a $27 per check overdraft protection fee. The amount she will owe the bank after July 12 is: $1,071.42.
What is total obligation?Total obligation can be defined as the amount a person owe another person or the debt amount a borrower is expected to payback to a lender.
Balance $1,400
July 9 check ($1,380.15)
Balance $19.85
July 10 check ($765.67)
($670 + $95.67)
Balance -$745.82 (Overdraft)
Now let find the amount she owe
Balance -$745.82
July 11 check $130
Balance -$875.82
July 12 check $87.60
Ending balance -$963.42
Overdraft fee $108
($27 ×4)
Total obligation -$1,071.42
Therefore her total obligation is $1,071.42.
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The coordinates of the vertices of a trapezoid are D (3, 5), O (5, 5), G (5, 2), S (-1, 2). Trapezoid DOGS is translated 3 units to the left and 7 units down. What is the rule that describes the translation that was applied to trapezoid DOGS to create trapezoid D’O’G’S’?
Note that the rule that describes the translation that was aplied to the trapezoid D.O.G.S to create D'.O'. G'. S' is (x,y) → (x-3, y-7).
What is translation?A translation is a sort of transformation that involves sliding each point in a figure the same distance in the same direction.
Translation in geometry refers to shifting a form into a different place without affecting it in any manner. Shape translation is presented to Year 5 students by providing them shapes on squared paper that must be moved a specified number of squares up, down, left, or right.
Hence, the translation rule
that was aplied to the trapezoid D.O.G.S to create D'.O'. G'. S' is (x,y) → (x-3, y-7).
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Full Question:
Although part of your question is missing, you might be referring to this full question: See attached image.
A study shows that 78% of adults need eye correction. If 12 adults are randomly selected, find the probability that atleast 11 of them need correction for their eyesight
Answer: 0.2224
Step-by-step explanation:
Given: The proportion of adults need eye correction: p= 78%=0.78
Let X be a binomial variable that represents the number of adults who need eye correction.
Sample size of adults: n= 12
Binomial ditsribution formula:
\(P(X=x)=^nC_xp^x(1-p)^{n-x}\)
Now, the probability that at least 11 of them need correction for their eyesight will be
\(P(X\geq11)=P(X=11)+P(X=12)\\\\=^{12}C_{11}(0.78)^{11}(1-0.78)^{1}+^{12}C_{12}(0.78)^{12}(1-0.78)^{0}\\\\=(12)(0.78)^{11}(0.22)+(1)(0.78)^{12}(1)\\\\\approx0.1716503+0.05071486=0.22236516\approx0.2224\)
Hence, the required probability = 0.2224
a and b are integers.
The product of a and b is -36.
The sum of a and b is -5.
a is negative
What is a?
What is b?
Answer:
a is -9
b is 4
Step-by-step explanation:
we know that a and b are whole numbers.
we know that they are factors of 36.
1 * 36
2 * 18
3 * 12
4 * 9
6 * 6
i just did this as guess and check.
what numbers have a difference of 5?
the factors 4 and 9.
so, if a is the negative one, a has to be -9 to get -5 because
-9 + 4 = -5
and
(-9)(4) = 36
Pls I need help with this geometry problem. It's due today.
Step-by-step explanation:
Yz / RT = SZ / ST
2X +2 / 3X -7 = 35 / 40= 7 / 8
8( 2x+2) = 7( 3x-7 )
16 x +16 = 21x 49
5x = 65
x =13
YZ = 2×13 +2 = 28
The quotient 250+5/8 tells abou ow far a sloth may move in one hour. How an a sloth go in 90 minutes? Justify your asoning.
Ans :
90 minutes, the sloth may move 600 units .
Given :
250*5/8 = 250 × (8/5) = 400
Hour :
a period of time equal to the twenty-fourth part of a day and night and divided into 60 minutes.
1 hour = 60 minute
Slot :
a long, narrow aperture or slit in a machine for something to be inserted.
sloth may move 400 units per hour.
a sloth may move in 400 units = 60 minutes.
A slot of 200 units = 30 minutes.
Therefore,
it will move (400 + 200) units = (60 + 30) minutes.
Hence,
in 90 minutes, the sloth may move 600 units.
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Finding the side length of a cube from its Volume in liters A technical machinist is asked to build a cubical steel tank that will hold 275 L of water. Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest 0.001 m. X 5 ?
The smallest possible inside length of the cubical steel tank that can hold 275 liters of water is approximately 0.640 meters.
The side length of the cube is found by converting the volume of water from liters to cubic meters, as the unit of measurement for the side length is meters.
Given that the volume of water is 275 liters, we convert it to cubic meters by dividing it by 1000 (1 cubic meter = 1000 liters):
275 liters / 1000 = 0.275 cubic meters
Since a cube has equal side lengths, we find the side length by taking the cube root of the volume. In this case, we find the cube root of 0.275 cubic meters:
∛(0.275) ≈ 0.640
Rounded to the nearest 0.001 meters, the smallest possible inside length of the tank is approximately 0.640 meters.
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test the hypothesis that the mean weight of the two sheets is equal (μ1−μ2)against the alternative that it is not (and assume equal variances). find the t-stat to 3 decimal places.
To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:
t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))
where:
x1 and x2 are the sample means of the two sheets,
s_p is the pooled standard deviation,
n1 and n2 are the sample sizes.
The pooled standard deviation (s_p) can be calculated using the following formula:
s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))
where:
s1 and s2 are the sample standard deviations.
To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.
Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.
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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.
The t-statistic for a paired t-test is calculated as follows:
t = (X1 - X2) / (s / √n)
where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.
Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.
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The population of Mussman, Maine is 13,500 and grows at an annual rate of 6.5%. How long will it take the population of Mussman, Maine to reach 27,000 residents?
Answer:
about 1.6090405507426917 years (round this)
Step-by-step explanation:
This question requires reverse thinking. This type of problem is usually presented like 13,500 people are there to start with and it increases by 6.5 yearly, how much will it be in a year? But this time we have to find the years and we have the end population value.
First write equation:
13,500(0.065)^x = 27000
Simplify by dividing:
0.65^x = 0.5
*Use property of log (for isolating x):
x(log(0.65)) = log(0.5)
Isolate x:
x = log(0.5)/log(0.65)
x = 1.6090405507426917
*the reason why we did log was because we need the x to not be in an exponent for but to be normal. So log makes us able to write it like that. Same works with ln or natural log. For continuously compounding or continuously depreciating you would use ln.
the researcher uses a t test when comparing two means to determine statistical significance. group of answer choices true false
A researcher would use a t-test when comparing two means to determine statistical significance. So, the statement "The researcher uses a t-test when comparing two means to determine statistical significance" is TRUE.
A t-test is a statistical method for assessing the difference between two population means from two independent samples.
It is frequently used in hypothesis testing and statistical analysis in order to determine whether a study result is statistically significant or not.
A t-test compares two means and calculates a t-value, which is then used to calculate the p-value.
The p-value indicates the likelihood that the observed difference between the two means is due to random variation, rather than a genuine difference between the populations being compared.
If the p-value is less than the predetermined significance level (usually 0.05), then the difference between the means is considered statistically significant.
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a +1>3
guyz at least solve one question
\(a + 1 > 3\)
Move 1 to another side.
\(a > 3 - 1 \\ a > 2\)
Therefore, a>2
The kurtosis of a distribution refers to the relative flatnessor peakedness in the middle. Is this statement true orfalse?
This statement is true. The kurtosis of a distribution is a measure of the shape of the distribution and specifically refers to how peaked or flat it is in the middle compared to a normal distribution.
A positive kurtosis indicates a more peaked distribution while a negative kurtosis indicates a flatter distribution.
The kurtosis of a distribution refers to the relative flatness or peakedness in the middle of the distribution. It is a measure used to describe the shape of a probability distribution, with higher kurtosis indicating a more peaked distribution and lower kurtosis indicating a flatter distribution.
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f(x) = 350(1.68)x
Is it growth or decay?
What is the initial value?
What is the rate?
Answer:
Multiply 350 by 1.68.
f(x)=588x
decay
Which among the following is the smallest 4- Digit number is divisible by 6,8 and 9
a} 2012 b}2160 c}2088 d}1008
Your credit card has a baiance of \( \$ 3052.41 \). How many years will it take to pay the balance to 0 if the card has an annual interest rate of \( 18 \% \) and you will make payments of \( \$ 55 \)
It would take approximately 11.7 years to pay off the credit card balance of $3052.41 with a monthly payment of $55 and an annual interest rate of 18%.
To calculate the time it will take to pay off a credit card balance, we need to consider the interest rate, the balance, and the monthly payment. In your question, you mentioned an annual interest rate of 18% and a monthly payment of $55.
First, let's convert the annual interest rate to a monthly interest rate. We divide the annual interest rate by 12 (the number of months in a year) and convert it to a decimal:
Monthly interest rate = (18% / 12) / 100 = 0.015
Next, we can calculate the number of months it will take to pay off the balance. Let's assume there are no additional charges or fees added to the balance:
Balance = $3052.41
Monthly payment = $55
To determine the time in months, we'll use the formula:
Number of months = log((Monthly payment / Monthly interest rate) / (Monthly payment / Monthly interest rate - Balance))
Using this formula, the calculation would be:
Number of months = log((55 / 0.015) / (55 / 0.015 - 3052.41))
Calculating this equation gives us approximately 140.3 months.
Since we want to find the number of years, we divide the number of months by 12:
Number of years = 140.3 months / 12 months/year ≈ 11.7 years
Therefore, it would take approximately 11.7 years to pay off the credit card balance of $3052.41 with a monthly payment of $55 and an annual interest rate of 18%.
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Classify this triangle by its sides and angles.
Answer:
acute and scalene triangle ig
Answer:
Obtuse and Scalene.
Step-by-step explanation:
We know its scalene because each side is a different length. We also know that its an obtuse triangle by looking at it and understanding that 1 of the angles is larger than 90˚, making it obtuse.
What is 2+2
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