Total seats: 52 x 7 + 8 x 12 = 364 + 96 = 460
Total cost for total seats = 460 x 23 = 10,580
Cost for buses: 150 x 7 + 80 x 8 = 1050 + 640 = 1690
Total cost = 10,580 + 1,690 = $12,270
What 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
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 measure of the following? M AOC
Answer:
mAOC = 40
Step-by-step explanation:
This is because from 40 to 60 degrees its 20 degrees, and then from 60 to 80 degrees its 20 degrees so 20 +20= 40 degrees
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°
A class collects $50 to buy flowers for a classmate who is in the hospital. Roses cost $3 each, and carnations cost $2 each. No other flowers are
to be used. How many different bouquets could be purchased for exactly $50?
Answer:
8
Step-by-step explanation:
You can set up an equation 50=2x+3y where x is the number of carnations and y is the number of roses. Then, you can express x as x=25-3/2y. As x must be positive, you can write 25-3/2y>0, 25>3/2 y. So, y can be 2,4,6,8,10,12,14,16 and the corresponding x's giving u 8 combinations.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
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!
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:
2. Graph: y = x+2
please help
Answer:
Start at (0,2) and draw a line to (3,1)
Step-by-step explanation:
Since +2 is the y-intercept, we must start there.
Always remember the saying "rise over run". Since -1 is the "rise", we must go down one, "3" is the run, so we must move over to the right 3 times.
evaluate -1 -(-z) where z = -2
Answer:
1
Step-by-step explanation:
-1 - (-z)
-1 - (-2)
-1 + 2
1
Answer:
-3
Step-by-step explanation:
(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}
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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the formula for the volume of a cylinder is v = πr2h, where V is volume, r is radius, and h is height. what is the volume of a cylinder that is 6 inches high and has a radius of 3 inches
Answer:
169.65
Step-by-step explanation:
Solve |
Answer:
I need something to slove
Step-by-step explanation:
What is the value of 36x-8y² when x = 3 and y= 6
Answer:
-180
Step-by-step explanation:
just simply put the values in place of variables and solve
36(3) - 8(6)^2
108 - 8(36)
108 - 288
-180
Answer:
-180
Step-by-step explanation:
Plug in the variable numbers: [tex]36(3) - 8(6)^{2}[/tex] 36 × 3 = 108Plug 108 in: [tex]108 - 8(6)^{2}[/tex] [tex]6^{2}[/tex] = 6 × 6 = 36Plug 36 in: [tex]108 - 8(36)[/tex] 8 × 36 = 288Plug 288 in: 108 - 288108 - 288 = -180f(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.
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 :)
(a) A mixed hockey team of 11 must have at least 5 boys and at least 5 girls. There are 7 boys and 8 girls available for selection. How many different teams can be selected? (b) One of the girls, Caitlin, is selected as captain of the team and must play every game. One of the boys, Stephen, is injured and can no longer play. How many teams can be selected now? Pls answer asap
Answer:
A) I) 49 teams
II)63 teams
B) 28 teams
Step-by-step explanation:
A) a team of 5 boys and 6 Girls
=7C5+ 8C6
= 21+28
= 49 teams
a team of 6 boys and 5 girls
= 7C6 + 8C5
= 7+56
= 63 teams
B) one girl is kept constant already and a guy has injury
Girls remaining to choose from 7
Boys remaining to choose from 6
= 1 +7C5 + 6C5
= 1+21+6
= 28 teams
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
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.
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
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.
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
At midnight,the temperature is at 34 degress Fahrenheit.The temperature decreases 3 degrees each hour until 2:00 am. The temperature then increases 2 degrees each hour until 7:00 am. What is the temperature at 7:00 am
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]
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.
A researcher conducts a study on the effects of task difficulty (easy, hard) and presence of others (no one else present, 5 other people present) on task performance. Task performance is assessed by measuring how many Sudoku puzzles a participant is able to complete in 30 minutes. Below are the mean numbers of correct responses for each of the resulting conditions in the study. Easy Difficult No one else present 7 9 Five others present 14 2 The results from this study indicate there is ________________________________________.
Answer:
gcyj gc yj g
Step-by-step explanation:
cgyj jc y gc jyjgcjc gj gcjg jg jgjy g yjcgj