Answer:
Zoe is not correct because equilateral triangles are acute triangles with three sides of equal length. Acute triangles can sometimes be equilateral triangles.
Step-by-step explanation:
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
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°
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
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.
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.
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
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.
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
Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval.The equation ex = 6 − 5x is equivalent to the equation f(x) = ex − 6 + 5x = 0. f(x) is continuous on the interval [0, 1], f(0) = ____, and f(1) = ____. Since f(0) < 0 < f(1), there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation ex = 6 − 5x, in the interval (0, 1).
Answer:
f(c)=4f, left parenthesis, c, right parenthesis, equals, 4 for at least one ccc between -2−2minus, 2 and 11
Step-by-step explanation:
hope this helps
There is a root in the given equation ex = 6 − 5x, in the interval (0, 1).
It is required to find the functions has f(0) and f(1).
What is function?A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given:
Using Intermediate value Theorem we have
If F(x) is continuous and f(a) and f(b) have opposite signs then there will be at a point (a ,b) whereby F(c) = 0
The equation is
[tex]f(x) = e^{x} - 6 + 5x = 0[/tex] on interval [0, 1],
This shows that the F(x) is continuous on (0,1).
[tex]f(0) = e^{0} - 6 + 5*0 = -5\\ \\f(1) = e^{1} - 6 + 5*1 = e-1[/tex]
e = 2.7182
since the functions has f(0) and f(1) have opposite signs then there is at a point whereby F(c) = 0 ( intermediate value theorem fulfilled )
Hence, there is a root in the given equation ex = 6 − 5x, in the interval (0, 1).
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At the Midlothian Independent Bank, a study shows that the mean ATM transaction takes 74 seconds, the median 63 seconds, and the mode 51 seconds. (a) Check the appropriate choice of distribution based on the statistics given. The distribution should be skewed to the left because the mean is greater than the median. The distribution should be skewed to the right because the standard deviation is greater than the mean. The distribution should be skewed to the right because the mean is greater than the median. The distribution should be skewed to the left because the variance is greater than the mean. (b) Select the factor that might cause the distribution to be like this. Most ATM transactions will tend to be high in duration, but a few will be of longer duration. Most ATM transactions will tend to be low in duration, but a few will be of lower duration.
Answer:
a) The distribution should be skewed to the right because the mean is greater than the median.
b) Most ATM transactions will tend to be low in duration, but a few will be of lower duration.
Step-by-step explanation:
Given:
Mean = 74
Median = 63
Mode = 51
a) We can see that the mean is greater than the median, and the median is greater than the mode. It can be written in this sequence : Mean > Median > Mode.
Therefore, the distribution should be skewed to the right because the mean is greater than the median.
b) Since the mode is less than mean, the duration of view will be longer but there wil be a low value of observation.
Therefore, the factor thay might cause the distribution to be like this is that most ATM transactions will tend to be low in duration, but a few will be of lower duration.
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]
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
To know more about System of Linear Equations
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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
Which 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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Determine if the point (2, 6) is on the graph of
Answer:
it is not on the graph
Step-by-step explanation:
Put the given values into the equation and see if it is true:
-2(2) +1/3(6) = -1
-4 +2 = -1 . . . . . . . .FALSE
The point is not on the graph of the equation.
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
Is the statement "The solution set of a linear system involving variables x 1 comma ... comma x Subscript n is a list of numbers (s 1 comma ... comma s Subscript n Baseline )that makes each equation in the system a true statement when the values s 1 comma ... comma s Subscript n are substituted for x 1 comma ... comma x Subscript n Baseline comma respectively" true or false? Explain. A. True, because the list of variables (x 1 comma ... comma x Subscript n Baseline )and the list of numbers (s 1 comma ... comma s Subscript n Baseline )have a one-to-one correspondence. B. False, because the description applies to a single solution. The solution set consists of all possible solutions.
Answer:
B. False, because the description applies to a single solution. The solution set consists of all possible solutions.
Step-by-step explanation:
The choice of true or false revolves around whether a linear system can have more than one solution.
The problem statement does not say the equations are independent, a condition that must be satisfied if there is to be only one solution. Hence we must assume that the system may be dependent or even inconsistent, leading to zero, one, or an infinite number of solutions. The answer above carries its own explanation.
False, for the reason given
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]
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:
help plz now quick if right brain list
Answer:
c= 5 yards.
Step-by-step explanation:
4*1.5=6
30/6= 5
if an ice cream truck drives fives 7 miles per hour, how many feet does the truck drive per minute?
Answer:
616 ft/min
Step-by-step explanation:
1 mile = 5280 feet
7 miles = 5280 x 7 = 36960
1 hr = 60 mins
thus 36960 / 60 = 616
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
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
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.
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
which of the following is an expression for”doubling a number n and dividing by 3”?
Answer:
2n/3
Step-by-step explanation:
hope this helps!! moo
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.
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
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
