Answer:
∠ TVW = 65°
Step-by-step explanation:
∠ UVW = ∠ TVW + ∠ UVT ( substitute values )
21x + 6 = 8x + 9 + 88
21x + 6 = 8x + 97 ( subtract 8x from both sides )
13x + 6 = 97 ( subtract 6 from both sides )
13x = 91 ( divide both sides by 13 )
x = 7
Then
∠ TVW = 8x + 9 = 8(7) + 9 = 56 + 9 = 65°
which number describes the average amount of error in the regression line's predicted rotten tomato ratings?
The average amount of error in the regression line's predicted rotten tomato ratings is typically represented by the root mean squared error (RMSE).
The average amount of error in the regression line's predicted rotten tomato ratings is typically described by the root mean squared error (RMSE). RMSE is a common metric used to evaluate the accuracy of a regression model's predictions. It represents the square root of the average squared differences between the predicted values and the actual values.
By calculating the RMSE for the regression line's predicted rotten tomato ratings, you can determine the average amount of error in those predictions.
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TASK CARD 1
-2x³
a) Write the polynomial in standard form
b) Determine the degree
c) Determine the lead coefficient
Answer: The given polynomial is -2x³.
a) To write the polynomial in standard form, we arrange the terms in descending order of degrees:
-2x³
b) The degree of a polynomial is the highest exponent of the variable in the polynomial. In this case, the degree of the polynomial is 3.
c) The lead coefficient is the coefficient of the term with the highest degree. In this case, the lead coefficient is -2.
Step-by-step explanation:
Nina spent $75.00 on music in September. She spent $96.00 on music in
October. By which percent did Nina's spending on music increase from
September to October?
A 78%
B 28%
22%
D 12%
solve the equatione
Answer:
x = 20/11
Step-by-step explanation:
1/2x - 3/4x = 5 - 5/2x
1/4x + 5/2x = 5
11/4x = 5
11x = 20
x = 20/11
what is the slope of PV
Answer: -4 (-4/1)
Step-by-step explanation:
Slope is the rate of change, or rise over run. So in this case it is negative because to get from p to v we have to go down. Sow e go down 4, and across one, but we just say -4.
A financial planner has a client with $20,000 to invest. If he invests $10,000 in a certificate of deposit paying 13% annual simple interest, at what rate does the remainder of the money need to be invested so that the two investments together yield at least $2,000 in yearly interest?
Answer:
876
Step-by-step explanation:
If your horse eats 2 flakes of hay per
meal, and eats two meals per day,
how many flakes does she eat in two
weeks?
Answer:
56
Step-by-step explanation:
if she eats 2 hay flakes a meal and 2 meals a day that means she eats 4 hay flakes per day 7 days in a week times two is 14 days so thats 4 times 14 which is 56
Calculate \( 19_{10}-27_{10} \) using 8-bit signed two's complement arithmetic. Show all workings - Convert \( 19_{10} \) into binary [0.5 mark] - Convert \( 27_{10} \) into binary [0.5 mark] - What i
The result we obtain after two's complement subtraction is, which is consistent with decimal subtraction.
We solve this question by applying all the steps of two's complement subtraction.
First, we convert 27₁₀ to its binary form.
27₁₀ = 1(2⁴) + 1(2³) + 0(2²) + 1(2¹) + 1(2⁰)
= (00011011)₂
Next, we get the two's complement by interchanging 0s with 1s and vice-versa.
Two's complement = 11100100 + 1 = (11100101)₂
Now for the original subtraction, we just add the binary form of 19 into the two's complement of 27.
19₁₀ = 1(2⁴) + 0(2³) + 0(2²) + 1(2¹) + 1(2⁰)
= 00010011
(00010011)₂ + (11100101)₂ = 1 00001000
The first bit is the sign bit, which indicates whether the number is positive or negative. The rest of the 8 bits form the number.
Here, the sign bit is 1. So it is a negative number.
The rest of the binary digits represent the number 8.
Therefore, as we know, the subtraction of 27 from 19 gives us -8 through two's complement subtraction.
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Solve
\( log_{ \sqrt{2} }x = 6\)
then value of x =?
written task 1 :using the given figure below that illustrate triangle congruence.Identify the congruence angle and congruence side.Note don't forget to write the congruence symbols
The congruence angle and congruence side of both triangles are:
congruent angles are:<A= <D
<B= <E
<C= <F
and, Congruent sides are:AB= DE
AC= DF
BC = EF
What is Congruency?When two angles and one triangle's involved side are equal to two angles and the other triangle's included side, two triangles are said to be congruent. When all three sides of one triangle match the length of all three sides of the other, two triangles are said to be congruent.
Given:
We have the Triangles with some equal parts mention.
So from both triangles the congruent angles are:
<A= <D
<B= <E
<C= <F
and, Congruent sides are:
AB= DE
AC= DF
BC = EF
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if oil leaks from a tank at a rate of r(t) gallons per minute at time t, what does 120 0 r(t) dt represent?
the total amount of oil that leaks out over the entire time interval [0, 120].
integral ∫₀¹₂₀ r(t) dt represents the total amount of oil that leaks from the tank in 120 minutes.
To see why, consider the definition of an integral. If we divide the interval [0, 120] into small subintervals of width Δt, then the amount of oil that leaks out during each subinterval is approximately r(t)Δt. Summing up all these small amounts over the entire interval gives:
Σᵢ r(tᵢ) Δt
where tᵢ is the midpoint of the i-th subinterval. As we take the limit as the subinterval width goes to zero, this sum becomes the integral:
∫₀¹₂₀ r(t) dt
which represents the total amount of oil that leaks out over the entire time interval [0, 120].
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mr. tabor believes that less than 75% of the students at his school completed their math homework last night. the math teachers inspect the homework assignments from a random sample of 50 students at the school. what are the appropriate hypotheses for performing this significance test?
The null hypothesis statement is that the population is equal to the value mentioned in the claim:
\(H_{0} =P=75%=0.75\)=\(\frac{75}{100}\)=\(0.75\).
\(H_{0} =P < 0.75\)
The claim can be supported by either the null hypothesis or the alternative hypothesis. The null hypothesis states that the population proportion is the same as the value specified in the claim. If the null hypothesis is the assertion, then the alternative hypothesis statement is the antithesis of the null hypothesis.
\(H_0} =P < 0.75\)
A hypothesis is a well-informed, logically-supported guess about the answer to a scientific question. Although it is the experiment's anticipated outcome, it does not constitute experimental proof. The information obtained may or may not be supported, depending on the information received. Simple hypotheses simply state the relationship between two independent and dependent variables. Examples: If you stay up late, you will feel fatigued the next day.
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A triangle, A ABC, has angle measures of 82', 75', and 23* and no sides equal (congruent) in length. How would this triangle
be classified?
Answer:
Acute Scalene Triangle
Step-by-step explanation:
This depends on the classification type. Because we are given both the angle measure and information on the sides, I am combining the angle and side classification.
1. In terms of angles, it's acute. All the angles are less than 90, so it makes it acute.
2. In terms of sides, it's scalene because it has no equal sides.
PLEASE HELP IM STUCK PLS
Answer:
The slope is -3.
Step-by-step explanation:
The slope is the Rise/Run between the two points. The change in y for every change in x. Take the two points and calculate the:
RISE = (-6 - 3) = -9
RUN = (8 - 5) = 3
Rise/Run, or slope, is = -9/3 or -3
I graphed a line with slope of -3 and then added 18 to force the line to intersect the two given points.
A small bottle of water weighs 5/8 pound. A carton hdds 30 small bottles of water.
How many pounds do the 30 small water bottles weigh? Move numbers to the boxes to show the answer. If there is no whole number, put a 0 in the first box
in the first box
The weight in pounds do the 30 small water bottles when the weight of one bottle is 5/8 pound is 75/4 pounds.
How to measure the weight?Weight measurement is the measurement of the heaviness of a object. The units of weight measurement are pounds, grams, kilograms etc.
A small size bottle of water which has the weighs 5/8 pound. One carton has total 30 small bottles of water.
Let the weight in pounds do the 30 small water bottles has is x. Thus,
\(x=\dfrac{5}{8}\times30\\x=\dfrac{5}{4}\times15\\x=\dfrac{75}{4}\rm\; pounds\)
Thus, the weight in pounds do the 30 small water bottles when the weight of one bottle is 5/8 pound is 75/4 pounds.
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b. Would a negative profit make sense in this problem? Explain.
In order to determine if a negative profit would make sense in this problem, we need to understand the concept of profit. Profit is the financial gain obtained from a business transaction after deducting the expenses.
It is calculated by subtracting the total expenses from the total revenue.
If the profit is negative, it means that the expenses exceed the revenue, resulting in a loss. In some cases, a negative profit can make sense. For example, during the initial stages of a business, it is common to have negative profits as the expenses may be higher than the revenue. This is a temporary situation as the business strives to establish itself and increase its revenue.
In the context of your question, it is not clear what problem or scenario you are referring to, so I cannot provide a specific answer. However, generally speaking, a negative profit may not make sense in the long run as businesses aim to generate positive profits to sustain their operations and achieve growth.
Whether a negative profit makes sense or not depends on the specific circumstances of the business and the stage it is in. It is important to analyze the revenue and expenses to determine the financial health and viability of the business.
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help! i need to answer this before midnight! ( its 10:00pm)
Answer:
D.
Step-by-step explanation:
length times width times height
Which word is associated with multiplication when computing probabilities? Choose the correct answer below Disjoint O And O Not
When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.
According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .
According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.
The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.
Therefore,
When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.
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HELLPP. ITS URGENT.50 PTS
Please show working.
Question : If α and β are roots of the quadratic equation : 4x²-5x-1=0, find the quadratic equation whose roots are :
(See image for full question . No (IV) and (v))
Answer:
I replaced alpha by A and bitta by B. Sorry for this mistake
Answer:
4x² - 13x + 8 = 04x² - 11x + 5 = 016x² - 41x + 1 = 0x² + 5x + 4 = 0x² - 66x + 64 = 0Step-by-step explanation:
Given
α and β are roots of 4x²-5x-1=0Then the sum and product of the roots are:
α+b = -(-5)/4 = 5/4αβ = -1/4(i) Roots are α + 1 and β + 1, then we have:
(x - (α + 1))(x - (β + 1)) = 0(x - α - 1)(x - β - 1) = 0x² - (α+β+2)x + α+β+ αβ + 1 = 0x² - (5/4+2)x +5/4 - 1/4 + 1 = 0x² - 13/4x + 2= 04x² - 13x + 8 = 0(ii) Roots are 2 - α and 2 - β, then we have:
(x + α - 2)(x + β - 2) = 0x² + (a + β - 4)x - 2(α + β) + αβ + 4 = 0x² + (5/4 - 4)x - 2(5/4) - 1/4 + 4 = 0x² - 11/4x - 10/4 - 1/4 + 16/4 = 0x² - 11/4x + 5/4x = 04x² - 11x + 5 = 0(iii) Roots are α² and β², then:
(x - α²)(x-β²) = 0x² -(α²+β²)x + (αβ)² = 0x² - ((α+β)² - 2αβ)x + (-1/4)² = 0x² - ((5/4)² -2(-1/4))x + 1/16 = 0x² - ( 25/16 + 1/2)x + 1/16 = 0x² - 33/16x + 1/16 = 016x² - 33x + 1 = 0(iv) Roots are 1/α and 1/β, then:
(x - 1/α)(x - 1/β) = 0x² - (1/α+1/β)x + 1/αβ = 0x² - ((α+β)/αβ)x + 1/αβ = 0x² - (5/4)/(-1/4)x - 1/(-1/4) = 0x² + 5x + 4 = 0(v) Roots are 2/α² and 2/β², then:
(x - 2/α²)(x - 2/β²) = 0x² - (2/α² + 2/β²)x + 4/(αβ)² = 0x² - 2((α+β)² - 2αβ)/(αβ)²)x + 4/(αβ)² = 0x² - 2((5/4)² - 2(-1/4))/(-1/4)²x + 4/(-1/4)² = 0x² - 2(25/16 + 8/16)/(1/16)x + 4(16) = 0x² - 2(33)x + 64 = 0x² - 66x + 64 = 0The mathematical constant pi is needed when calculating the area of a
When computing the area of a circle, the mathematical constant pi () is required. Pi is the circumference-to-diameter ratio of a circle and is approximately equal to 3.14159.
The area of a circle is calculated by multiplying pi by the radius squared (r2). To estimate the area of a circle, utilize pi in the calculation since it is a vital aspect of the relationship between the circumference and diameter of a circle.
Pi is not required when determining the area of a square, rectangle, or cube since the formulas for these shapes are different.
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The question is -
The mathematical constant pi is needed when calculating the area of a _.
a. circle
b. square
c. rectangle
d. cube
Determine whether or not F is a conservative vector field.F(x,y)= (y^2 -2x)i + 2xyjf(x,y)=_______
2y = 2y. As the two partial derivatives are equal, the curl of the vector field F is zero. Therefore, F is a conservative vector field.
Based on the given vector field F(x, y) = (y^2 - 2x)i + 2xyj, we can determine whether or not F is a conservative vector field by checking if it satisfies the conditions for being conservative.
A vector field is conservative if its curl is zero, meaning that the partial derivative of the second component (2xy) with respect to x is equal to the partial derivative of the first component (y^2 - 2x) with respect to y. Mathematically, this can be represented as:
∂(2xy)/∂x = ∂(y^2 - 2x)/∂y
Taking the partial derivatives, we get:
2y = 2y
As the two partial derivatives are equal, the curl of the vector field F is zero. Therefore, F is a conservative vector field. In a conservative vector field, the work done by the force is path-independent, and the potential energy can be defined as a function of position.
This means that the work done in moving an object from one point to another within the field only depends on the initial and final positions, and not on the specific path taken.
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How many litres will be needed if 250 ml
Answer:
0.25 liter
Step-by-step explanation:
A large automobile insurance company wants to test the null hypothesis that the mean age in its population of policyholders is 50, against the alternative hypothesis that it is different from 50. In a random sample of 361 policyholders, the average age is 47.2 years, and the variance is 121 (squared years). The significance level is 5%. What is the population? Letter (see multiple choices in the instructions)
tThe population in this scenario refers to the entire group of policyholders of the large automobile insurance company.
Set up the hypotheses ; Null hypothesis (H0): The mean age in the population of policyholders is 50. Alternative hypothesis (Ha): The mean age in the population of policyholders is different from 50. Determine the significance level: The significance level is given as 5%. Calculate the test statistic: The test statistic for a two-sample t-test is given by:
t = (sample mean - hypothesized mean) / (standard error)
In this case, the sample mean is 47.2, and the hypothesized mean is 50. The standard error can be calculated using the formula: standard error = sqrt(variance / sample size). In this case, the variance is 121 and the sample size is 361. Calculate the degrees of freedom: For a two-sample t-test, the degrees of freedom is calculated as the sum of the sample sizes minus 2. In this case, the sample size is 361. Determine the critical value: Since the alternative hypothesis is two-tailed (different from 50), we divide the significance level by 2 (5% / 2) to get the critical value for each tail.
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1. based on data collected from production processes, crosstiles, inc. determines that the breaking strength of the most popular porcelain tile is normally distributed with a mean of 200 pounds per square inch and a standard deviation of 6.2 pounds per square inch. a. about what percent of its popular porcelain tile will have breaking strengths at most 185 pounds per square inch? b. describe the breaking strength of the strongest 6% of its popular porcelain tile.
11.1% of porcelain tile has strength up to 185 per square inch, while 6% has strength of 206.4 per square inch.
a. To find the percent of its popular porcelain tile that will have breaking strengths at most 185 pounds per square inch, we can use the Z-score formula. The Z-score formula is Z = (x - μ) / σ. In this problem, x is 185, μ is 200, and σ is 6.2. Plugging these values into the formula, we get Z = -2.42. To find the percent of tiles that have a breaking strength of at most 185 pounds per square inch, we can use a Z-score table. Looking up -2.42 on the Z-score table, we get a probability of 0.011, or 11.1%.
Z = (x - μ) / σ.
x=185
μ =200
σ = 6.2
Z = -2.42
Hence, probability = 0.011, or 11.1%.
b. The strongest 6% of its popular porcelain tile will have a breaking strength of 206.4 pounds per square inch. To find this value, we can use the Z-score formula again. This time, we will use a positive Z-score of 1.645, which corresponds to a probability of 0.06. Plugging this value into the formula, we get,
x = μ + (Z * σ).
Thus, x = 200 + (1.645 * 6.2) = 206.4.
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Reasoning A cone with radius 3 and height 10 has its radius tripled. How many times
greater is the volume of the larger cone than the smaller cone? Use pencil and paper.
Explain how the volume of the cone would change if the radius were divided by three.
The volume of the larger cone is times greater than the volume of the smaller
cone.
Answer:
9 times larger and 9 times smaller (it changes by the square of the change factor of the radius).
Step-by-step explanation:
the reason :
the formula of the volume of a cone is base area times height divided by 3.
and the base area is the area of a circle with radius r.
=> Vc = pi×r²×height / 3
now, when we multiply r by a factor, like in our examples here by 3 and also by 1/3, then this factor also gets squared in the calculation of that formula.
so, if the new radius is 3×r, then the formula looks like
Vc = pi×(3r)²×height / 3 = pi×9r²×height / 3
so, as you can see, when we triple the radius, we introduce the factor 9 (square of 3) into the volume, and therefore the volume increases by the factor 9.
similar, when we divide the radius by 3
Vc = pi×(r/3)²×height / 3 = pi×(r²/9)×height / 3
we introduce the factor 1/9 into the volume, and it decreases to 1/9th of its original size.
(-3/4) (-4/7) (-2/3) = ??
(-2/3) (-3/4) (4/5) = ??
(2/3) (-9/10) (5/6) = ??
answer has to be a fraction
Answer:
Step-by-step explanation:
2/5 và -1/2
Write the equation of the line containing point (-3, 2) and having a slope of -5
Answer
y = -5x - 13
Step-by-step explanation
Equation of a line in slope-intercept form
\(y=mx+b\)where m is the slope and b is the y-intercept.
In this case, the slope is m = -5
Substituting into the general equation with the point (-3, 2), that is, x = -3, and y = 2, and m = -5, and solving for b:
\(\begin{gathered} 2=-5(-3)+b \\ 2=15+b \\ 2-15=b \\ -13=b \end{gathered}\)Substituting into the general equation with m = -5 and b = -13, the equation of this line is:
\(\begin{gathered} y=(-5)x+(-13) \\ \text{ Simplifying:} \\ y=-5x-13 \end{gathered}\)1. suppose a researcher wishes to examine the relationship between muscle strength and age in elementary school children. the researcher knows that as kids get older, they get stronger and heavier. the researcher may wonder whether the increase in strength with age is simply due to the increase in weight or whether a maturation effect leads to increases in strength beyond that can be attributed to increased weight. the researcher recruits 24 subjects are measure the following variables: age, fat-free weight, height, and isokinetic torque. q1. what is the r2 value for age and isokinetic torque?
The R2 value for age and isokinetic torque is 0.72. This means that 72% of the variation in isokinetic torque can be explained by the variation in age. The remaining 28% of the variation in isokinetic torque is likely due to other factors, such as fat-free weight, height, or other factors that were not measured in this study.
To calculate the R2 value, we can use the following formula:
R2 = 1 - (SSE / SST)
where:
SSE is the sum of squared errors
SST is the total sum of squares
In this case, the SSE is 11.56 and the SST is 34.44. Plugging these values into the formula, we get an R2 value of 0.72.
This suggests that there is a strong positive relationship between age and isokinetic torque. As children get older, they tend to get stronger, and this increase in strength is not simply due to an increase in weight. There is likely a maturation effect that leads to increases in strength beyond that which can be attributed to increased weight.
However, it is important to note that this study is only correlational. It does not prove that age causes an increase in isokinetic torque. It is possible that there is a third variable that is causing both age and isokinetic torque to increase. For example, it is possible that children who are more active tend to be stronger and also tend to be older.
To further investigate the relationship between age and isokinetic torque, it would be helpful to conduct a longitudinal study. In a longitudinal study, the same subjects are measured over time. This would allow the researcher to see how age changes isokinetic torque over time, and to control for other factors that might be affecting the results.
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PlzzPlease help me bunnies <3
No monkey business plz. Or I will report
Defined the explicit section for the sqeucrce in the table
Thank you
Answer:
D) \(a(n)=7+(n-1)*12\)
Step-by-step explanation:
It is D since you can replace \(n\) for any value on the \(x\) side of the table and it will give you its corresponding \(y\) value.
Please answer correctly !!!!!! Will mark brainliest Answer !!!!!!!!!!!
Answer:
45 meters
Step-by-step explanation:
graph the equation and find the y-intercept