Answer:
t = 20°
Step-by-step explanation:
Recall that the base angles of an isosceles ∆ are equal to each other.
This means that:
<NMO and <NOM of ∆MNO are congruent to each other.
Thus,
m<NMO = ½(180 - m<N) = ½(180 - 70)
m<NMO = ½(110)
m<NMO = 55°
Also, <PMO and <POM are congruent to each other. Thus:
m<PMO = ½(180 - m<P) = ½(180 - 110)
m<PMO = ½(70)
m<PMO = 35°
Therefore,
m<NMO = t + m<PMO (angle addition postulate)
55° = t + 35° (substitution)
Subtract 35 from each side
55° - 35° = t
20° = t
t = 20°
find the 16th term of the arithmetic sequence whose common difference is d=8 and whose first term is a↓1=3
Answer:
123
Step-by-step explanation:
3 + (16 - 1)8
3 + (15)8
3 + 120
123
What is the greatest number of baskets that Lisa can make?
Lisa is making fruit baskets.
• She has 12 pears, 30 apples, and 42 oranges.
• For each type of fruit, each basket must have the same number of pieces
of that fruit
• She must use all of the fruit.
A) 2
B 5
C)6
D)7
Answer: 5
Step-by-step explanation:
pls help!!!! ahhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
1:2
Step-by-step 1:2explanation:
it doesnt say anything about colors. so how many dots? how many stripes? 2 and 4. Ratio: 2:4. Ratios can be fractions: 2/4. What does 2/4 simplify to? 1/2 That means for every 1 dot rectangle there are 2 stripe rectangle. Ratio : 1:2 or 1 to 2 or 1/2
Please help me...I need to turn this in PLZZZZ!!!!!!
Answer:
i believe its C
Step-by-step explanation:
Answer:
52 degree angle
In Terrance County, 85% of eligible voters are registered to vote, and
government records from a recent gubernatorial election indicate that 60%
of registered voters actually voted in the election. If there are 21,800
eligible voters in Terrance County, how many people voted in the recent
qubernatorial election?
Answer:
11118 people voted
Step-by-step explanation:
Given
[tex]Eligible\ Voters = 21800[/tex]
[tex]Registered\ Voters = 85\%[/tex]
[tex]Voted\ Voters = 60\%[/tex]
Required
Determine the number of voters
First, we need to determine the number of registered voters.
[tex]Number = \%Registered\ Voters * Eligible\ Voters[/tex]
[tex]Number = 85\% * 21800[/tex]
[tex]Number = 18530[/tex]
Next, we determine the actual voters using
[tex]Voters = \%Voters * 18530[/tex]
[tex]Voters = 60\% * 18530[/tex]
[tex]Voters = 11118[/tex]
Hence, 11118 people voted
Gawain sa Pagkatuto Bilang 2: Pagsunod-sunurin ang mga
pangkat. Isulat ang letra ng tamang sagot,
1. A.
B.
C.
Malaki - Paliit
Maliit → Palaki
C.
2.
A.
B.
Malaki → Paliit
Maliit > Palaki
3.
C.
A.
B.
WA
Malaki > Paliit
Maliit -> Palaki
Answer:
What is this about?
Step-by-step explanation:
What topic?
Solve: 2x + 15 = -3x
Please help me out! I need to solve for X
Answer:
X=-3
Step-by-step explanation:
2x+15=-3x
15=-5x
x=15/-5
x=-3
Answer:
x = -3
Step-by-step explanation:
2x + 15 = -3x
15 = -5x
x = -3
Simplify 3x ^ 2 - 4 +2x -1 + x^ 2 then evaluate for x = - 1
Step-by-step explanation:
4x^2+2x-5
4(-1)^2+2(-1)-5
4-2-5
2-5= -3
What is the solución to this equation
X/5=30
Answer:
150
Step-by-step explanation:
x/5=30
x=30*5
x=150
Hoped this helped!
Step-by-step explanation:
x/5 = 30
5 × x/5 = 5 × 30
x = 5 × 30
x = 150
Write the ratio as a fraction in simplest form. 27 to 72
Answer: The ration for 27:71, would be 3/8. Hope this helps!
Do you guys know what is after you become an expert??
Answer:
Ace is the next level after expert.
What are the slope and y-intercept
Answer:
Slope= -1/2 ; y-inter = 0
Step-by-step explanation:
200 divided by 5.50 is what because if one hour is 5.50 and you need 200 how many hours do you work
Answer:
if you divided 200 by 5.50 the answer will be 36.3636363636
Please help....... thanks
Answer:
7 weeks
Step-by-step explanation:
49 divided by 7 is 7
n/4 + 1 =5 how do I solve this and show my work
Answer:
n/4 + 1 =5
n/4 = 5-1
n/4 = 4
n = 4*4
n = 16
Answer:
So do this,
Step-by-step explanation:
stand up and go ask your mom!
1/x+x/2=11/6 transformable to quadratic equations
Note: Consider we need to find the solution of given equation.
Given:
The equation is
[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]
To find:
The solution of the equation.
Solution:
We have,
[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]
[tex]\dfrac{2+x^2}{2x}=\dfrac{11}{6}[/tex]
By cross multiplication, we get
[tex]6(2+x^2)=11(2x)[/tex]
[tex]12+6x^2=22x[/tex]
[tex]6x^2-22x+12=0[/tex]
[tex]2(3x^2-11x+6)=0[/tex]
Divide both sides by 2.
[tex]3x^2-11x+6=0[/tex]
Splitting the middle term, we get
[tex]3x^2-9x-2x+6=0[/tex]
[tex]3x(x-3)-2(x-3)=0[/tex]
[tex](x-3)(3x-2)=0[/tex]
Using zero product property, we get
[tex]x-3=0[/tex] and [tex]3x-2=0[/tex]
[tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex]
Therefore, the solutions of the given equation are [tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex].
Quadratic equations are algebraic equations that can be factored or broken down into simpler forms(factors).
Transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0
We are given the algebraic equation: 1/x+x/2=11/6
Transforming it into a quadratic equation, we find the Lowest common denominator of the fractions in the quadratic equations.
LCD(x,2,6) = 6x
Multiply all through the fractions by 6x
(1/x * 6x)+ (x/2 * 6x) = (11/6 * 6x)
6 + 3x² = 11x
Rewriting the equation:
3x² - 11x + 6 = 0
Therefore, transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0
To learn more, visit the link below:
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what is the solution for a.
ab+c=d
Answer:
The second option
Step-by-step explanation:
how many real solutions will y=x^2 and y=-2x have? what are the solutions?
Answer:
there is none
Step-by-step explanation:
Answer:
No solutions
Step-by-step explanation:
Real number solutions only or real and complex solutions. A solution to the system:
y=-2x+2
y=x2-2x+4
is the value of x such that when you plug it into both equations, they both produce the same value of y, or the value of x such that
-2x+2=x2-2x+4
solving this equation----------> x2=-2, taking square root of both sides gives x= ±√2i, or the system has no real solutions but has 2 complex solutions. If you graph both functions in the xy-plane, where x, y are real numbers, you' ll see they do not intersect, which implies there is no real number solutions.
What are the four kinds of parabolas
Answer: Focus, Vertex, Axis, and Directrix.
Step-by-step explanation:
Describe the steps you would use to solve the equation 5( 2a - 3 ) = 20 + a.
PLEEEEASE HELP ME AND ILL MARK YOU BRAINLIEST
Answer:
Distribute the 5 to get 10a-15=20+a and solve
Which statement describes the expression 9(8 + 25)?
1.9 times the quantity 8 times 25
2.9 times the quantity 8 plus 25
3. 25 more than 9 times s
4.25 more tha 9 plus s
Answer:
2
Step-by-step explanation:
ez any thing else just hit me up of so
Market research suggests that in a five year period 8% of people with cable television will get rid of it, and 26% of those without it will sign up for it. Compare the predictions of the Markov chain model with the following data on the fraction of people with cable TV: 56.4% in 1990, 63.4% in 1995, and 68.0% in 2000. What is the long run fraction of people with cable TV?
Answer: in the long run, 76.47% will have Cable TV
Step-by-step explanation:
Given the data in the question;
the matrix of transition from having cable TV to not having cable TV is
P = [ 0.92 0.08
0.26 0.74 ]
Now if [ 0.564 0.436 ] is the distribution in 1990,
then in 1995 we have;
[ 0.564 0.436 ] [ 0.92 0.08 = [ 0.6322 0.3678 ]
0.26 0.74 ]
so 63.22% will have cable TV in 1995
[ 0.6322 0.3678 ] [ 0.92 0.08 = [ 0.6773 0.3227 ]
0.26 0.74 ]
also 67.73% will have cable TV in 2000
let V = [ V1 V2 ] be the long run vector then
V1 + V2 = 1 ------lets say equ1 and VP = V
⇒[ V1 V2 ] [ 0.92 0.08 = [V1 V2 ]
0.26 0.74 ]
⇒0.92V1 + 0.26V2 = V1
0.08V1 + 0.74V2 = V2
OR 0.26V2 = 0.08V1
from equ 1, V1 = (1 - V2)
SO
0.26V2 = 0.08 (1 - V2)
0.26V2 = 0.08 - 0.08V2
0.34V2 = 0.08
V2 = 0.08 / 0.34
V2 = 0.2353
THUS
0.26V2 = 0.08V1
0.26(0.2353) = 0.08V1
0.061178 = 0.08V1
V1 = 0.061178 / 0.08
V1 = 0.7647
Therefore in the long run, 76.47% will have Cable TV
Assume a significance level of α=0.05 and use the given information to complete parts (a) and (b) below.
Original claim: Less than 51% of adults would erase all of their personal information online if they could. The hypothesis test results in a P-value of 0.0148
a. State a conclusion about the null hypothesis. (Reject Upper H0 or fail to reject Upper H0
Choose the correct answer below.
A.Reject Upper H0 because the P-value is less than or equal to to α.
B. Reject Upper H0 because the P-value is greater than α.
C. Fail to reject Upper H0 because the P-value is greater than α.
D. Fail to reject Upper H0 because the P-value is less than or equal to α.
b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion?
A. The percentage of adults that would erase all of their personal information online if they could is less than or equal to 51%.
B.There is sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 51%.
C. The percentage of adults that would erase all of their personal information online if they could is more than 51%.
D. There is not sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 51%.
Answer:
A.Reject Upper H0 because the P-value is less than or equal to to α.
B.There is sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 51%.
Step-by-step explanation:
Given the claim :
Less than 51% will erase their personal information :
We take this as the null ;
H0 < 0.51 ;
Alternative hypothesis which is the opposite of the Null
H1 > 0.51
P value = 0.0148
α = 0.05
At α = 0.05 ; if p value is less than α ; reject the the Null
If p value is greater than Null ; then we fail to reject the Null
Pvalue < α
The P value is less than 0.05; then we reject the Null
B.) There is significance evidence to support the Alternative hypothesis claim, that the percentage of adult that would erase all their personal information online if they could is more Than 51%
TRUE OR FALSE?!?!?!!??!?!?!
Answer:
False
Step-by-step explanation:
Cause the graphs show false instead of being true
HURRY !!!!
i need help with this question
Determine the discriminant for the quadratic equation -3=x2+4x+1. Based on the discriminant value, how many real
number solutions does the equation have?
Discriminant = b2-4ac
0
1
2
12
The discriminant is greater than zero, the equation has 2 solutions
How to calculate the discrimant of quadratic equationGiven the quadratic expression as shown:
-x^4 + 4x + 1 + 3 = 0
x^4 - 4x - 4 = 0
The discriminant is given as b^2 - 4ac
where;
a = 1
b = -4
c = -4
Substitute
D =(-4)^2 - 4(1)(-4)
D = 16 + 16
D = 32
Since the discriminant is greater than zero, the equation has 2 solutions
Learn more on discriminant here; https://brainly.com/question/24730520
Answer: 2
Step-by-step explanation: got it right
a single serving of a cereal breakfast contains 18 grams of carbohydrates. this is 6% of the daily recommended allowance for 2000-calorie diet. how many grams of carbohydrates are recommended each day for a person on 2000 calorie diet.
Answer:
300g
Step-by-step explanation:
Given parameters:
Mass of carbohydrate in the cereal meal = 18g
Unknown:
Grams of carbohydrate recommended each day = ?
Solution:
The 18grams of the carbohydrate is just 6% of the total carbohydrate need per day;
6% x total carbohydrate recommendation = 18
[tex]\frac{6}{100}[/tex] x total carbohydrate = 18
Total carbohydrate = 18 x [tex]\frac{100}{6}[/tex] = 300g
Answer:
The answer is 300 grams of carbs on a 2000-calorie diet!
Step-by-step explanation:
Mass = 18g
daily allowance: ???
6% x total carbohydrate recommendation = 18
x total carbohydrate = 18
Total carbohydrate = 18 x = 300g on a 2000-calorie diet
3. From the table below, find Prof. Xin expected value of lateness. (5 points) Lateness P(Lateness) On Time 4/5 1 Hour Late 1/10 2 Hours Late 1/20 3 Hours Late 1/20
Answer:
The expected value of lateness [tex]\frac{7}{20}[/tex] hours.
Step-by-step explanation:
The probability distribution of lateness is as follows:
Lateness P (Lateness)
On Time 4/5
1 Hour Late 1/10
2 Hours Late 1/20
3 Hours Late 1/20
The formula of expected value of a random variable is:
[tex]E(X)=\sum x\cdot P(X=x)[/tex]
Compute the expected value of lateness as follows:
[tex]E(X)=\sum x\cdot P(X=x)[/tex]
[tex]=(0\times \frac{4}{5})+(1\times \frac{1}{10})+(2\times \frac{1}{20})+(3\times \frac{1}{20})\\\\=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20}\\\\=\frac{2+2+3}{20}\\\\=\frac{7}{20}[/tex]
Thus, the expected value of lateness [tex]\frac{7}{20}[/tex] hours.
An expected value is the theoretical mean value of a numerical experiment over many repetitions of the experiment.
Expected value of lateness is [tex]\frac{7}{20}[/tex] hours.
Let us consider, P(x) is represent that probability of lateness and x represent number of hours late.
So, below a table is formed.
x 0 1 2 3
P(x) 4/5 1/10 1/20 1/20
From formula of expected value,
E(x) = ∑ x P(x)
[tex]E(x)=(0*\frac{4}{5} )+(1*\frac{1}{10} )+(2*\frac{1}{20} )+(3*\frac{1}{20} )\\\\E(x)=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20} \\\\E(x)=\frac{7}{20}[/tex]
So, expected value of lateness is 7/20 hours.
Learn more:
https://brainly.com/question/23286309
Help plsssssssssssssssssssssss thanks so much
Answer:
Amelie drove 3/4 mile.She then drove another 8/9 mile. How many miles did she drive in all?
Step-by-step explanation:
What type of triangle can have one right angle?
Answer:
A right triangle and an isosceles
Step-by-step explanation: