Answer:
3 to 8 = 6 to 16 = 30 to 80
Step-by-step explanation:
Each time you multiply both numbers of a ratio by the same number, you get an equivalent ratio.
3 to 8
Multiply both 3 and 8 by 2:
6 to 16
Multiply both 3 and 8 by 10:
30 to 80
3 to 8 = 6 to 16 = 30 to 80
61 sample problems. The new algorithm completes the sample problems with a mean time of 14.06 hours. The current algorithm completes the sample problems with a mean time of 16.43 hours. Assume the population standard deviation for the new algorithm is 3.004 hours, while the current algorithm has a population standard deviation of 4.568 hours. Conduct a hypothesis test at the 0.05 level of significance of the claim that the new algorithm has a lower mean completion time than the current algorithm. Le
Answer:
There is sufficient evidence to conclude that the new algorithm has a lower mean completion time than the current algorithm
Step-by-step explanation:
From the question we are told that
The sample size for each algorithm is [tex]n_1 = n_2 = n = 61[/tex]
The sample mean for new algorithm is [tex]\= x_1 = 14.06 \ hr[/tex]
The standard deviation for new algorithm is [tex]\sigma _1 = 3.004 \ hr[/tex]
The sample mean for the current algorithm is [tex]\= x_2 = 16.43 \ hr[/tex]
The standard deviation for current algorithm is [tex]\sigma _2 = 4.568[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu _2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 < \mu_2[/tex]
Here [tex]\mu _1 \ and \ \mu_2[/tex] are population mean for new and current algorithm
Generally the test statistics is mathematically represented as
[tex]Z = \frac{ \= x _1 - \= x_2 }{ \sqrt{\frac{ \sigma_1 ^2 }{n_1} + \frac{\sigma^2_2 }{ n_2}} }[/tex]
=> [tex]Z = \frac{ 14.06 - 16.43 }{ \sqrt{\frac{ 3.004^2 }{61} + \frac{4.568^2 }{ 61}} }[/tex]
=> [tex]Z = -3.39[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(Z < -3.39 )[/tex]
From the z-table
[tex]P(Z < -3.39 ) = 0.0003[/tex]
=> [tex]p-value = P(Z < -3.39 ) = 0.0003[/tex]
From the calculated value we see that [tex]p-value < \alpha[/tex] hence the null hypothesis is rejected
Hence we can conclude that there is sufficient evidence to conclude that the new algorithm has a lower mean completion time than the current algorithm
Question 9 options: Solve for the value of X. X2 = 36
Answer:
The answer would be x = 6 , − 6
Step-by-step explanation:
x 2 = 36
Take the square root of both sides of the equation to eliminate the exponent on the left side.
x = ± √ 36
The complete solution is the result of both the positive and negative portions of the solution.
Which give you the answer of x = 6 , − 6
Two co- interior angles are in the ratio 5:7 find the angles
Answer:
75°
105°
Step-by-step explanation:
Two co-interor= 180°
5+7= 12
ratio12= 180°
{find the other ratios, 5 and 7)
12=180°
5×180÷12 = 75°
To find 7, just subtract 180-75= 105°
If RT=36, find the value of x
Answer:
4
Step-by-step explanation:
So we know that RT is 36.
Note that RT is the combined length of RS and ST. Therefore:
[tex]RT=RS+ST[/tex]
Substitute. RT is 36, RS is 6x+1 and ST is x+7:
[tex]36=(6x+1)+(x+7)[/tex]
Combine like terms and add:
[tex]36=7x+8[/tex]
Subtract 8 from both sides:
[tex]28=7x[/tex]
Divide by 7:
[tex]x=4[/tex]
So, our answer is 4 :)
Which of the following fractions would convert into a repeating decimal
Answer: [tex]\frac{2}{9}[/tex]
Step-by-step explanation: It is 2/9 because 2/9 converts to 0.222222222...
Hope it helps!
You weigh six packages and find the weights to be 35, 25, 75, 30, 70, and 65 ounces. If you include a package that weighs 155 ounces, which will increase more, the median or the mean?
Answer:
Neither, they increase by the exact same amount.
Step-by-step explanation:
With the first data set you have a mean of 50 and a median value of 50 as well because to find a median of an even set of numbers you take the two middle values and average them together, in this case being 35 and 65 averaging out to 50. Adding 155 to this data set increases the mean to 65 and the median value to 65 as well, making this a trick question because the increase is the exact same.
Solve the problem.When exposed to ethylene gas, green bananas will ripen at an accelerated rate. The number of days for ripening becomes shorter for longer exposure times. Assume that the table below gives average ripening times of bananas for several different ethylene exposure times. Plot the data and then find a line approximating the data. With the aid of this line, determine the rate of change of ripening time with respect to the exposure time. Round your answer to two significant digits.
The table and the plotted data are in the attachment.
Answer and Step-by-step explanation: A line of best fit is the best approximation of the given data. It is used to show the relation of two variables and it can be determined, more accurately, by the Least Square Method.
To use the method, follow the steps:
1) Calculate the mean of the two variables:
[tex]X = \frac{\Sigma x_{i}}{n}[/tex]
[tex]Y=\frac{\Sigma y_{i}}{n}[/tex]
2) The Slope of the line is given by:
[tex]m=\frac{\Sigma (x_{i}-X)(y_{i}-Y)}{\Sigma (x_{i}-X)^{2}}[/tex]
3) The y-intercept is found by the formula:
[tex]b=Y-mX[/tex]
For the ripening of bananas, the least square method gives the line:
y = -0.142x + 5.56
The rate of change of a line equation is its slope, so
Rate of change = -0.14
The rate of change of ripening time with respect to exposure time is -0.14, which means the more expose the fruit is, the less time it needs to ripe.
Find the exact trigonometric ratios for the angle x whose radian measure is given. $$\frac{3 \pi}{4} $$
Answer:
Step-by-step explanation:
Before we can determine the exact trigonometric ratios for the angle x whose radian measure is given as [tex]\dfrac{3\pi}{4}[/tex], we need to first determine the quadrant the angle falls into.
The angle [tex]\dfrac{3\pi}{4}[/tex] = [tex]\dfrac{3*180}{4} = 135^0[/tex] and it falls in the second quadrant. since the angle is positive, we will use the trigonometry ratio that is positive in the second quadrant. The trigonometry ratio that is positive in the second quadrant is sin(x) while others are negative.
[tex]sin \frac{3\pi}{4} = sin (\pi - \frac{\pi}{4} ) = sin\frac{\pi}{4} = \frac{1}{\sqrt{2} } \\cos \frac{3\pi}{4} =cos (\pi - \frac{\pi}{4} ) = -cos\frac{\pi}{4} = -\frac{1}{\sqrt{2} } \\tan \frac{3\pi}{4} = tan (\pi - \frac{\pi}{4} ) = -tan\frac{\pi}{4} = -1[/tex]
Find the distance represented by 4.9 inches is 1 inch =50
Answer:
distance = 245 in
Step-by-step explanation:
1 in = 50
distance = 4.9 in x 50
distance = 245 in
Answer: 245 miles
Step-by-step explanation:
fg
Solve |
Answer:
I need something to slove
Step-by-step explanation:
Trigonometry question! NEED HELP ASAP
Answer:
12.3 = y
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos 35 = y/15
15 cos 35 = y
12.28728066 = y
To the nearest tenth
12.3 = y
10 x 4 thousands in unit form
Answer:
Step-by-step explanation:
Simplify.
10 x 4000
40000
Unit form.
forty-thousand = four thousands
I'm sorry if I misunderstood.
Please add Brainliest if you'd like, not that it matters.
Multiplication is the process of multiplying. The value of the expression 10 × 4,000 is 40,000.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
In the given expression 10×4000, the symbol of '×' represents that the two digits should be multiplied. Therefore, the value of the multiplication of 10 and 4,000 is,
10 × 4,000 = 40,000
Hence, the value of the expression 10 × 4,000 is 40,000.
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circumference or area how many times must a horse go around a horse walker to walk 1 mile
Answer:
circumference
Step-by-step explanation:
Going around is the circumference
f(t)= (t-5)^2 - 9 what are the zeros of the function? Smaller T: Larger t: What is the vertex of the parabola?: (__,__)
Smaller t = 2
Larger t = 5
Step-by-step explanation:
Given:
The given function is.
Find the zeros of the function.
Solution:
Simplify the equation above equation.
Now, we first find the root of the above equation.
Use quadratic formula with .
Put a, b and c value in above equation.
For positive sign
t = 2
For negative sign
t = 5
Put t = 2 in given function.
Put t = 5 in given function.
So, the zeros of the function is t = 2 or 5
Therefore, the smaller value of t = 2 and larger value of t = 5.
Which of the following is a step in simplifying the expression x multiplied by y to the power of 4 over x to the power of negative 5 multiplied by y to the power of 5, the whole to the power of negative 3.? x to the power of negative 3 multiplied by y, the whole over x to the power of negative 8 multiplied by y to the power of 2. x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of negative 5 multiplied by y to the power of 5. x to the power of negative 3 multiplied by y, the whole over x to the power of negative 5 multiplied by y to the power of 5. x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of 15 multiplied by y to the power of negative 15.
Answer:
x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of 15 multiplied by y to the power of negative 15.
Step-by-step explanation:
Given is expression below to be simplified:
(xy⁴/x⁻⁵y⁵)⁻³The step in simplifying is the power of the power, which is equal to product of powers: (xᵃ)ᵇ = xᵃᵇ. So, power of -3 of the whole equals to:
(x⁻³y⁻¹²)/(x¹⁵y⁻¹⁵)This expression is same as the last option:
x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of 15 multiplied by y to the power of negative 15.So, this is the correct one.
Answer:
other answer was correct
Step-by-step explanation:
For which equation would x=12 be a solution? x+12=30 15+×=15 x+5=18 12+×=24
Answer:
12+x=24
Step-by-step explanation:
To do this you would just plug in 12 for x to each equation and when you do that the only one that would be right would be 12+x=24
Hi there! Hopefully this helps!
-----------------------------------------------------------------------------------------------------
Answer: 12 + x = 24~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~x + 12 = 30
x = 18.
---------------------------------
15 + x = 15.
x = 0
---------------------------------
x + 5 = 18
x = 13
---------------------------------
12 + x = 24x = 12What is the volume of a sphere with a diameter of 12 cm.
Answer:
288π cm³, 904.32 cm³, and 904.778683 cm³
Step-by-step explanation:
The volume of a sphere can be found using the following formula.
[tex]V=\frac{4}{3} \pi r^3[/tex]
We are given the diameter, so we must find the radius.
The radius is half of the diameter.
r= d/2
The diameter is 12 cm.
r= 12 cm/2
r= 6 cm
The radius is 6 centimeters. Let's return to the formula and substitute 6 cm in for r.
[tex]V=\frac{4}{3} \pi (6cm)^3[/tex]
Evaluate the exponent.
[tex](6 cm)^3= 6 cm * 6 cm * 6cm = 36 cm^2 * 6cm= 216 cm^3[/tex]
[tex]V=\frac{4}{3} \pi * 216 cm^3[/tex]
Multiply 4/3 and 216 cm^3
[tex]V= (\frac{4}{3} * 216 cm^3)\pi[/tex]
In terms of pi:
[tex]V= 288\pi cm^3[/tex]
Using 3.14 as pi:
[tex]V= 288 \pi cm^3[/tex]
[tex]V= (288 * 3.14) cm^3[/tex]
[tex]V= 904.32 cm^3[/tex]
Using 3.14159265 as pi:
[tex]V= 288 \pi cm^3[/tex]
[tex]V= (288 * 3.14159265) cm^3[/tex]
[tex]V=904.778683 cm^3[/tex]
The volume of the sphere is 288π cm³, 904.32 cm³, and 904.778683 cm³
Answer:
Volume of sphere by formula is V= 4/3πr^3
Since d= 12
Then r = d/2
Radius = diameter / 2
r = 12/2
r = 6
V = 4/3 x 22/7 x 6^3
V = 1.33 x 3.14 x 216
V = 902.1cm^3....
Thanks
(20 points) A statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s = 20: (a) Compute the p-value in order to test H0 : = 100 against H1 : 6= 100: (b) Compute the p-value in order to test H0 : = 100 against H1 : > 100:
Answer:
The P-value is 0.0234.
Step-by-step explanation:
We are given that a statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s = 20.
Let = population mean.
So, Null Hypothesis, : = 100 {means that the population mean is equal to 100}
Alternate Hypothesis, : > 100 {means that the population mean is more than 100}
The test statistics that will be used here is One-sample t-test statistics because we're yet to know about the population standard deviation;
T.S. = ~
where, = sample mean = 98
s = sample standard deviation = 20
n = sample size = 400
So, the test statistics = ~
= -2
The value of t-test statistics is -2.
Now, the P-value of the test statistics is given by;
P( < -2) = 0.0234 {using the t-table}
Convert the angle θ=29π/15 radians to degrees
Answer:
The answer is
[tex] 348\degree[/tex]Step-by-step explanation:
To convert any angle from radians to degrees multiply that angle by
[tex] \frac{180 \degree}{\pi} [/tex]So for the above angle in the question we have
[tex] \frac{29\pi}{15 } \times \frac{180}{\pi} [/tex]Reduce the fraction with π
That's
[tex] \frac{29}{15} \times 180 \\ = \frac{5220}{15} [/tex]We have the final answer as
[tex]\theta \: = 348\degree[/tex]Hope this helps you
4,336 is 10 times as much as?
Answer:
433.6
Step-by-step explanation:
A student wrote three papers in mathematics examination marks for two papers we're 77and 72 respectively.to obtain grade A, an average of not less than 75marks is required for the three papers
Answer:
The student must score at least 76 in the third subject
Step-by-step explanation:
Given
Scores in 2 subjects = 77 and 72
Number of subjects = 3
Required
Determine the scores in the third subject to get an average of 75
Represent the score in the third subject with y
Average in 3 scores is calculated as thus;
[tex]Average = \frac{Sum\ of\ 3\ scores}{3}[/tex]
Substitute 75 for Average
[tex]75 = \frac{Sum\ of\ 3\ scores}{3}[/tex]
Multiply both sides by 3
[tex]3 * 75 = \frac{Sum\ of\ 3\ scores}{3} * 3[/tex]
[tex]3 * 75 = Sum\ of\ 3\ scores[/tex]
[tex]225 = Sum\ of\ 3\ scores[/tex]
Substitute (77 + 72 + y) for Sum of 3 scores
[tex]225 = 77 + 72 + y[/tex]
[tex]225 = 149 + y[/tex]
Subtract 149 from both sides
[tex]225 - 149 = 149 - 149 + y[/tex]
[tex]225 - 149 = y[/tex]
[tex]76= y[/tex]
[tex]y = 76[/tex]
Hence, the student must score at least 76 in the third subject
the product of a number and 9
Answer:
9x
Step-by-step explanation:
let's say that x is the number we don't know
the product means multiplication
9*x=9x
so the answer is 9x
Answer:
[tex]\Huge \boxed{9x}[/tex]
Step-by-step explanation:
Let the unknown number be x.
The product of x and 9.
The product refers to multiplication.
[tex]x \times 9[/tex]
find the unknown angles. please help
Answer:
60°, 60°, 60°
Step-by-step explanation:
Since, two side of the given triangle are congruent l. Therefore, measures of both the interior angle will be equal.
By remote interior angle theorem:
120° = x + x
120° = 2x
120°/2 = x
60° = x
Third angle = 180° - 120° = 60°
Hence measure of all the three angles of the triangle are 60°, 60° and 60°
Which of the following is a typical cost associated with renting?
a closing costs
b. down payment
C.
property tax
d. security deposit
Please select the best answer from the choices provided
OA
ОВ
ОС
OD
Answer:
The answer is C. Property tax.
Step-by-step explanation:
An example of a typical cost that is not associated with renting include the following: C. property tax.
What are the types of tax?In Economics, there are different types of tax that are being levied on individuals or business organizations by the government, and these include the following:
Sales tax
Income tax
Property tax
here, we have,
Generally speaking, property taxes are typically determined with respect to the monetary value of a property in real estate. This ultimately implies that, property taxes are typically determined based on the monetary value that is associated with a property.
In conclusion, last month's rent, security deposit, and pet deposit are examples of cost that are associated with renting.
Read more on tax here:
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While playing a video game a player collected 18 of the 45 available coins right and simplify a fraction to represent the situation
Answer:
2 / 5
Step-by-step explanation:
Fractions are written in the form part/whole, in this case, the part is 18 and the whole is 45 so the fraction would be 18 / 45 which simplifies to 2 / 5.
Can someone tell me the answers and show how you did it step by step with the parentheses and everything?
Step-by-step explanation:
Following B. O. D. M. A. S rule :
= { [ 8 / 2] ^2 - 6} * (-2)
= { 4 ^ 2 - 6} * - 2
= 10 * - 2
= - 20
Answer:
Solution : - 20
Step-by-step explanation:
We have the following expression to simplify,
[tex]\left\{\left[\frac{\left(3+5\right)}{2}\right]^2-\left(3\cdot 2\right)\right\}\cdot \left(-2\right)[/tex]
Let's start by simplifying simple expressions, such as 3 + 5 = 8 and 3 * 2 = 6. Substituting we receive,
[tex]\left\{\left[\frac{\left(8\right)}{2}\right]^2-\left(6\right)\right\}\cdot \left(-2\right)[/tex]
8 / 2 = 4, and 4² = 16 -
[tex]\left\{16-\left(6\right)\right\}\cdot \left(-2\right)[/tex]
And of course 16 - 6 = 10, simplifying the expression to " - 2 [tex]*[/tex] 10 " leaving us with a solution of - 20.
How do you simplify x-2/2-x?
Answer:
-1
Step-by-step explanation:
Simplify the following:
x - 2/2 - x
Hint: | Reduce (-2)/2 to lowest terms. Start by finding the GCD of -2 and 2.
The gcd of -2 and 2 is 2, so (-2)/2 = (2 (-1))/(2×1) = 2/2×-1 = -1:
x + -1 - x
Hint: | Group like terms in x - 1 - x.
Grouping like terms, x - 1 - x = (x - x) - 1:
(x - x) - 1
Hint: | Look for the difference of two identical terms.
x - x = 0:
Answer: -1
A realtor is trying to predict the selling price of houses in Greenville (in thousands of dollars) as a function of Size (measured in thousands of square feet) and whether or not there is a fireplace (FP is 0 if there is no fireplace, 1 if there is a fireplace). The regression output is provided below. Some of the information has been omitted.
Source of variation SS df MS F
Regression 3177.17 2 1588.584
Residual 17 17.7 17 13
Total 3478.36 19
Which of the following conclusions can be made based on the F-test?
A) The estimates were based on a sample of 19 houses.
B) At least one of the predictors is useful in explaining Y.
C) The model is of no use in predicting selling prices of houses.
D) The p-value on the F-test will be very high.
Answer:
The correct option is B.
Step-by-step explanation:
The ANOVA table is as follows:
Source of variation SS df MS F
Regression 3177.17 2 1588.584 ___
Residual ___ 17 17.71713
Total 3478.36 19
The complete table is as follows:
Source of variation SS df MS F
Regression 3177.17 2 1588.584 89.663
Residual 301.1941 17 17.7173
Total 3478.36 19
The critical value of F is:
[tex]F_{\alpha, (\eta_{1}, \eta_{2})}=F_{0.05, (2,17)}=3.5915[/tex]
Decision rule:
If the calculated value of the F test statistic is more than or equal to the critical value.
[tex]F=89.663\geq F_{2,17}=3.5915[/tex]
The null hypothesis will be rejected.
Conclusion:
At least one of the predictors is useful in explaining Y.
Thus, the correct option is B.
State the domain and range of the following function using set notation. G(x)= -5x2 write the domain of the function set
The domain of the function is [tex]\mathbb{R}[/tex] or in set notation [tex](-\infty, \infty)[/tex].
The range of the function is [tex][0, -\infty)[/tex].
Hope this helps.
Below is the graph of a polynomial. Which of the following statements about
this graph is true?