Answer:
Volume of piece of cake = [tex]\frac{\theta}{360} \pi r^2h[/tex]
Volume of piece of cake = 196.42 cm³
Step-by-step explanation:
Given:
Shape of cake = cylinder
Find:
Volume of piece of cake = ?
Computation:
Volume of cake = [tex]\pi[/tex]r²h
So,
Volume of piece of cake = [tex]\frac{\theta}{360} \pi r^2h[/tex]
Where,
[tex]\theta\\[/tex] = Angle of cake cut
r = radius of cake
h = Height of cake
[tex]Volume\ of\ piece\ of\ cake =\frac{30}{360}(\frac{22}{7})(10)^2(7.5) \\\\Volume\ of\ piece\ of\ cake = 196.42[/tex]
Volume of piece of cake = 196.42 cm³
Cuantas bases tiene un prisma
Answer:
Depende del tipo de prisma del que estés hablando.
Step-by-step explanation:
Un el prisma rectangular tiene 6 bases y un prisma triangular tiene 5 bases. Un prisma triangular sólo tiene dos bases.
Write (x - 5)(x + 5)(2x - 1) in standard form.
-x2 + 2x2 - 50x + 25
2r? - x? - 50x + 25
2x - x2 - 50x
-50x - x? + 2x
Answer:
2x3 - x2 - 50x + 25
Step-by-step explanation:
So the first thing you would do is multiply (x - 5)(x + 5)
x2 + 5x - 5x - 25
then you would simplify
x2 - 25
then you would multiply it by 2x - 1
(x2 - 25)(2x - 1)
2x3 - x2 - 50x + 25
so your answer is
2x3 - x2 - 50x + 25
I need help with this slope problem please!
Answer:
m= 0/-2
Step-by-step explanation:
y2-y1 6-6 0 m= ----------- = ----------- = ------- x2-x1 -4+2 -2Which of these tables lists all the possible outcomes of flipping 3 coins? (Each row represents one outcome.) Choose all answers that apply: Choose all answers that apply:
Answer:
Table B
Step-by-step explanation:
The table B shows possible outcomes of flipping 3 coins.
What is Outcome in Experiment?A probability experiment is a test in which we execute a series of trials to determine the likelihood of an event occurring in the future. A probability experiment's results may reveal a previously unknown truth or lead us to learn anything about the likelihood (or chance) of an occurrence occurring in the future.
Given:
If three coins are flipped then the possible outcomes are:
{ HHH,
HHT,
HTH
THH,
TTT,
TTH,
THT,
HTT}
So, there total 8 number of outcomes.
But in table 1 the number of outcomes is 5.
Thus, table B shows possible outcomes of flipping 3 coins.
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A 13-pound mixture of coffee that contains both decaffeinated and regular coffee costs $34. The decaffeinated coffee costs $2 per pound, and the regular coffee costs $3 per pound. (a) Let x be the weight of the decaffeinated coffee and y be the weight of the regular coffee. Write a system of equations whose solution gives the amount of each type of coffee in the mixture. (b) Use the method of substitution to solve the system of equations.
Answer:
Weight of decaf coffee = 5 pounds.
Weight of regular coffee = 8 pounds.
Step-by-step explanation:
(a) Let x be the weight of decaf coffee and y the weight of regular coffee. Then:
x + y = 13
2x + 3y = 34
(b) From the first equation x = 13 - y, so substituting for x in second equation:
2(13 - y) + 3y = 34
26 - 2y + 3y = 34
y = 34 - 26 = 8.
Substituting for y in the first equation:
x + 8 = 13
x = 5.
2x² +6 = 8x
what are the values of x here?
Answer:
x = 1 and x = 3
Step-by-step explanation:
Move 8x over to get the equation 2x² - 8x +6 = 0
Then factor to get (2x - 2)(x - 3)
Set both factors equal to zero and solve
2x - 2 = 0
2x = 2
x = 1
x - 3 = 0
x = 3
Use the Distributive Property to solve the equations. -4(x+3)=8. What does x equal?
Answer:
-5
Step-by-step explanation:
-4x-12=8
+12. +12
-4x=20
Divide -4 on both sides
20/-4
x= -5
EASY
A broken thermometer reads 33° F, but Kira knows that the temperature is at least 33° F, if not even colder. Which of the following inequalities, shows the possible temperatures?
t ≤ 33° F
t ≥ 33° F
t > 33° F
t < 33° F
Answer: t ≥ 33
Step-by-step explanation:
So the temperature has to equal to 33 or less than 33.It can't be greater than 33.
3+ 5x = 3
Slove for x
Answer:
x=0
Step-by-step explanation:
3+ 5x = 3
Subtract 3 from each side
3-3+ 5x = 3-3
5x = 0
divide each side by 5
5x/5 = 0/5
x = 0
To test if the mean IQ of employees in an organization is greater than 100, a sample of 30 employees is taken and the value of the test statistic is computed as t=1.42. If we choose a right tailed test at a 5% significance level, we
a) do not reject the null hypothesis and conclude that the mean IQ is not greater than 100
b) do not reject the null hypothesis and conclude that the mean IQ is greater than 100
c) reject the null hypothesis and conclude that the mean IQ is not greater than 100
d) reject the null hypothesis and conclude that the mean IQ is greater than 100
Answer:
[tex]p_v =P(t_{(29)}>1.42)=0.0831[/tex]
For this case the p value calculated is higher than the significance level used of 0.05 so then we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:
a) do not reject the null hypothesis and conclude that the mean IQ is not greater than 100
Step-by-step explanation:
Information given
We want to verify if he mean IQ of employees in an organization is greater than 100 , the system of hypothesis would be:
Null hypothesis:[tex]\mu \leq 100[/tex]
Alternative hypothesis:[tex]\mu > 100[/tex]
The statistic for this case is given by:
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
The statistic calculated for this case [tex]t_{calc}= 1.42[/tex]
The degrees of freedom are given by:
[tex]df=n-1=30-1=29[/tex]
Now we can find the p value using tha laternative hypothesis and we got:
[tex]p_v =P(t_{(29)}>1.42)=0.0831[/tex]
For this case the p value calculated is higher than the significance level used of 0.05 so then we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:
a) do not reject the null hypothesis and conclude that the mean IQ is not greater than 100
Joe earns $750 each week working his full time job. His employer has a
9.75% tax deduction on all monies earned each week.
Answer:
After tax deduction he makes $676.875 a week
Step-by-step explanation:
9.75% of 750 is 71.125
750-71.125 is 676.875
Work out the size of x
Answer:13°
Step-by-step explanation:
a + b + x=180 sum of angles in a =180°
85° is alternate to a
Therefore a=85°
98° and b are supplementary angles
98+b=180
b=180-98
b=82°
Recall that
a + b + x=180
85+82+x=180
167 + x=180
Collect like terms
x=180-167
x=13°
help plz now quick if right brain list
Answer:
c= 5 yards.
Step-by-step explanation:
4*1.5=6
30/6= 5
what is the degree of x^4-3x+22
Answer:
4
Step-by-step explanation:
The degree is the highest power on the exponent when they are lined up from highest to lowest
The degree is 4
Error Analysis The diameter of the circle is 18 m. Eugene incorrectly says that the circumference
of the circle is about 113.04 m. What is the circumference of the circle? What mistake did Eugene
make? Use 3.14 for .
The circumference of the circle is about m.
(Type an integer or decimal rounded to the nearest hundredth as needed.)
Answer:56.52m, Eugene used a wrong formula
Step-by-step explanation:
diameter=18m
π=3.14
Circumference of circle=π x diameter
Circumference of circle=3.14 x 18
Circumference of circle=56.52m
Eugene used a wrong formula
Circumference of circle=2 x π x diameter
instead of
Circumference of circle=π x diameter
30.5 mm
112 mm
18 mm
10 mm
Answer: ask the question
Step-by-step explanation: what's the question can you b more specific I could answer it for you
Answer:
What do you want the answer to be?
Step-by-step explanation:
Do you want to translate your measures to another measure?
Each hemisphere of isabels globe has a volume of 60,750 pie cm^3. What is the radius of her globe
Answer:
45cm
Step-by-step explanation:
Volume of a sphere = 4/3πr³
Volume of an hemisphere = 1/2 of volume of a sphere
Volume of hemisphere = 1/2{4/3πr³}
Volume of hemisphere = 2/3πr³
Given
Volume of the hemisphere = 60,750πcm³
60,750π = 2/3πr³
π cancels out
60,750 = 2/3r³
Multiply both sides by 3
2r³ = 60,750×3
2r³=182,250
Divide both sides by 2
r³ = 91,125
Find the ∛ of 91,125 to eliminate the cube on r
r = ∛91,125
r = 45cm
Using the information below, Solve for x. Show Your Work with your answer.
X + 2y = 5
2x + y = 12
-2(x + 2y = 5)
-2x - 4y = - 10
-2x - 4y = -10
2x + 6y = 12
_____________
2y = 2
————————
2 2
y=1
[insert answer here]
Step-by-step explanation:
Which images below are scalene triangles?
Triangles A and D
Triangles B and D
Triangles A and C
Triangles C and D
Answer: C & D
Step-by-step explanation:
I took the test and got it right (:
Hope this helps
A scalene triangle has NO equal sides A has 3 equal sides and B has 2 equal sides, so that means Triangles C & D are your answer!
What is the solution of | x + 5 | > 7
Step-by-step explanation:
inequality form would be x<-12 or >2
I hope this helps
Answer:
2
Step-by-step explanation:
(x+5)>7
x+5>7
x>7-5
x>2
Tim is paid $100 per day and $25 per hour for over time. He did over time of 3 hours for 2 days and 4 hours for 3 days in a week. How much is Tim paid at the end of the week considering he worked for 6 days in a week?
Answer:
$1125
Step-by-step explanation:
100d + 25h = $$
100(3) + 100(3) + 25(3*3) + 25(3*4) =
300 + 300 + 225 + 300 =
1125
Please help ASAP! Will give BRAINLIEST! Please read the questionTHEN answer correctly! No guessing.
Answer:D
Step-by-step explanation:
(4/5)^0
4^0/5^0=1/1=1
Help ASAP giving BRAINLIEST! Am i correct?
Answer:
You are correct
Step-by-step explanation:
x - 8 < 23
Add 8 to both sides
x - 8 + 8 < 23 + 8
Simplify
x < 31
Yes, you are correct.
Equations
What is the solution of the system of linear equations?
-3x + 4y = -18
2x - y = 7
(-2,-3)
(-2,3)
(2, -3)
(2, 3)
Answer:
Step-by-step explanation:
-3x + 4y = -18
8x - 4y = 28
5x = 10
x = 2
4 - y = 7
-y = 3
y = -3
(2, -3)
The solution of the system of linear equations given is (2,-3), the correct option is C.
What is System of Linear Equation?The system of linear equation is set of equations which have a common solution.
The equations are
-3x+4y = -18
2x-y =7
The linear equations can be solved using substitution method
y = 2x -7 from equation 2 will be substituted in equation 1
-3x +4 ( 2x -7) = -18
-3x +8x -28 = -18
5x = 10
x = 2
y = 2 * 2 -7 = -3
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The following linear programming problem has been written to plan the production of two products. The company wants to maximize its profits. LaTeX: X_1=X 1 = number of product 1 produced in each batch LaTeX: X_2=X 2 = number of product 2 produced in each batch MAX: LaTeX: 150\:X_1+250\:X_2150 X 1 + 250 X 2 Subject to: LaTeX: 2\:X_1+5\:X_2\le2002 X 1 + 5 X 2 ≤ 200 LaTeX: 3\:X_1+7\:X_2\le1753 X 1 + 7 X 2 ≤ 175 LaTeX: X_1,\:X_2\ge0X 1 , X 2 ≥ 0 How much profit is earned per each unit of product 2 produced?
Answer:
250
Step-by-step explanation:
It appears your profit function is ...
150x1 +250x2
This tells us the profit for each unit of product 2 is 250.
A grocery store purchases melons from two distributors, J & K. Distributor J provides melons from organic farms. The distribution of the diameters of the melons from distributor J is approximately normal with mean with 133 millimeters and standard deviation 5 mm. For a melon selected at random from distributor J, what is the probability that the melon will have a diameter greater than 137mm?
Answer: 0.2119
Step-by-step explanation:
Find the z-score.
(x - μ)/σ
The equation would be:
(137-133)/5 = 0.8
p-value = 0.7881
Subtract that from 1.
1 - 0.7881 = 0.2119
Factor x2 – 8x + 15.
Which pair of numbers has a product of ac and a sum of b?
Answer:
(x - 5)(x - 3)
Step-by-step explanation:
[tex] {x}^{2} - 8x + 15 \\ = {x}^{2} - 5x - 3x + 15 \\ = x(x - 5) - 3(x - 5) \\ = (x - 5)(x - 3) \\ \\ ac = ( - 5) (- 3) = 15 \\ a + c = - 5 - 3 = - 8[/tex]
Can someone plz help plz
Answer:
~ 1.25 centimeters of the snowflake in real life ~
Step-by-step explanation:
Let us plan out our steps, and solve for each:
1. Given the information, let us create a proportionality as such:
12 = 1 ⇒ x - centimeters of the snowflake in real life
15 x
2. Now let us cross multiply, and solve through simple algebra for x:
15 = 12 * x
x = 1.25 centimeters of the snowflake in real life
The National Assessment of Educational Progress interviewed a random sample of 1917 people 21 to 25 years old. The sample contained 840 men, of whom 775 were fully employed. Of the 1077 women 680 were fully employed. Is there sufficient evidence to support the claim that the employment levels for men compared to woman were different
Answer:
[tex]z=\frac{0.923-0.631}{\sqrt{0.759(1-0.759)(\frac{1}{840}+\frac{1}{1077})}}=14.83[/tex]
The p value for this case would be:
[tex]p_v =2*P(Z>14.83)\approx 0[/tex]
For this case the p value is very low so we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of employment levels for men compared to woman were different
Step-by-step explanation:
Information given
[tex]X_{1}=775[/tex] represent the number of people fully employed men
[tex]X_{2}=680[/tex] represent the number of people fully employed women
[tex]n_{1}=840[/tex] sample 1 selected
[tex]n_{2}=1077[/tex] sample 2 selected
[tex]p_{1}=\frac{775}{840}=0.923[/tex] represent the proportion estimated for male employed
[tex]p_{2}=\frac{680}{1077}=0.631[/tex] represent the proportion estimated for women employed
[tex]\hat p[/tex] represent the pooled estimate of p
z would represent the statistic
[tex]p_v[/tex] represent the value for the test
System of hypothesis
We want to test the claim that the employment levels for men compared to woman were different, the system of hypothesis would be:
Null hypothesis:[tex]p_{1} = p_{2}[/tex]
Alternative hypothesis:[tex]p_{1} \neq p_{2}[/tex]
For this case the statistic is given by:
[tex]z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}[/tex] (1)
Where [tex]\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{775+680}{840+1077}=0.759[/tex]
Replacing the info given we got:
[tex]z=\frac{0.923-0.631}{\sqrt{0.759(1-0.759)(\frac{1}{840}+\frac{1}{1077})}}=14.83[/tex]
The p value for this case would be:
[tex]p_v =2*P(Z>14.83)\approx 0[/tex]
For this case the p value is very low so we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of employment levels for men compared to woman were different.
John and Ellen bought a big pizza. Ellen ate 2/4 of the pizza and John ate 1/3 of the pizza. How much did they eat all together? How much was left over? (Hint: 12 is the Lowest Common Denominator).
(1/4 was wrong plss helppp)
Answer:
How much did they eat all together? 5/6
How much was left over? 1/6
[tex] \\ [/tex]
Step-by-step explanation:
How much did they eat all together?
[tex] \frac{2}{4} + \frac{1}{3} \\ = \frac{6}{12} + \frac{4}{12} \\ = \frac{10}{12} \\ = \frac{5}{6} [/tex]
[tex] \\ [/tex]
How much was left over?
[tex] 1 - \frac{5}{6} \\ = \frac{6}{6} - \frac{5}{6} \\ = \frac{1}{6} [/tex]