Answer:
The answer is 119
Step-by-step explanation:
Just count, but I did it a different way but multiplying then subtracting.
Let t
4 and u = 6 + 2i. Find t * u
Answer:
24 + 8i
Step-by-step explanation:
t = 4
u = 6 + 2i
t x u
= 4 ( 6 + 2i )
= 24 + 8i
Answer:
24+8i
Step-by-step explanation:
i took the test
A boardwalk game of chance costs 2 dollars to play. You have a 20% chance of winning 1 dollar, a 25% chance of winning back your entire 2 dollars, and a 35% chance to win 5 dollars. What is the expected value of playing the game if you lose your bet 20% of the time?
Answer:
For a give event with outcomes:
{x₁, x₂, ..., xₙ}
Each with probabilities:
{p₁, p₂, ..., pₙ}
The expected value is:
Ev = x₁*p₁ + ... + xₙ*pₙ
Here we have the outcomes and probabilities:
win $1, with a probability 20%/100% = 0.2
win $2, with a probability 25%/100% = 0.25
win $5, with a probability of 35%/100% = 0.35
do not win, with a probability of 20%/100% = 0.2
Then the expected value of the game is:
Ev = $1*0.2 + $2*0.25 + $5*0.35 + $0*0.2 = $2.45
And if we know that the game costs $2, then the expected value is:
Ev = $2.45 - $2 = $0.45
The expected value is $0.45
Suku kedua belas dari barisan bilangan 8, 15, 24, 35, .... adalah ...
can someone please help ? i know one of the answers is c but couldn’t b and d also work ? when you figure them out you get x is less than 10 as well.
Answer:
b,c,d
Step-by-step explanation:
a ≤ 10 would have a closed circle at 10
b x+10 <15 x < 10 correct open circle line going to left
c x < 10 correct open circle line going to left
d 0 > x-10 10 > x x < 10 correct open circle line going to left
e 2 > x-11 13 > x would have open circle at 13
The open circle tells us that the sign is only less than/greater than, not less than/greater than or equal to. That immediately rules out A.
Now, we can see that this is a less than inequality, because the arrow is pointing to the left, toward the negative numbers. And, the inequality covers every number that is less than 10.
A - Incorrect, less than or equal to
B - Correct, when solved = x < 10
C - Correct
D - Correct, when solved = x < 10
E - Incorrect, when solved = x < 13
Hope this helps!
In a survey of adults aged 57 through 85 years, it was found that 86.6% of them used at least one prescription medication. Complete parts (a) through (c) below.
a. How many of the 3149 subjects used at least one prescription medication?
(Round to the nearest integer as needed.)
b. Construct a 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication.
(Round to one decimal place as needed.)
Answer:
a) 272 used at least one prescription medication.
b) The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).
Step-by-step explanation:
Question a:
86.6% out of 3149, so:
0.866*3149 = 2727.
272 used at least one prescription medication.
Question b:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 3149, \pi = 0.866[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.866 - 1.645\sqrt{\frac{0.866*0.134}{3149}} = 0.856[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.866 + 1.645\sqrt{\frac{0.866*0.134}{3149}} = 0.876[/tex]
For the percentage:
0.856*100% = 85.6%
0.876*100% = 87.6%.
The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).
The number of subjects in the study who used at least one prescription medication is 2727 approx. The needed 90% confidence interval is: [0.8560, 0.8758] or in percentage as: 85.6% to 87.58%
How to construct confidence interval for population proportion based on the sample proportion?Suppose that we have:
n = sample size[tex]\hat{p}[/tex] = sample proportion[tex]\alpha[/tex] = level of significance = 1 - confidence interval = 100 - confidence interval in percentageThen, we get:
[tex]CI = \hat{p} \pm Z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]
where [tex]Z_{\alpha/2}[/tex] is the critical value of Z at specified level of significance and is obtainable from its critical value table(available online or in some books)
For this case, we have:
n = 3149confidence interval is of 90%[tex]\alpha[/tex] = level of significance = 100 - 90% = 10% = 0..10[tex]\hat{p}[/tex] = sample proportion = ratio of 86.6% of n to n (at the least)Part (a):
The number of subjects used at least one prescription medication is:
[tex]\dfrac{3149}{100} \times 86.6 \approx 2727[/tex]
Thus, the sample proportion we get is:
[tex]\hat{p} = \dfrac{2727}{3149} \approx 0.8659[/tex]
For level of significance 0.10, we get: [tex]Z_{\alpha/2} = 1.645[/tex]
Thus, the confidence interval needed is:
[tex]CI = \hat{p} \pm Z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\CI \approx 0.8659\pm 1.645 \times \sqrt{\dfrac{0.8659(1-0.8659)}{3149}}\\\\\\CI \approx 0.8659 \pm 0.0099[/tex]
Thus, CI is [0.8659 - 0.0099, 0.8659 + 0.0099] = [0.8560, 0.8758]
Thus, the number of subjects in the study who used at least one prescription medication is 2727 approx. The needed 90% confidence interval is: [0.8560, 0.8758] or in percentage as: 85.6% to 87.58%
Learn more about population proportion here:
https://brainly.com/question/7204089
if -2 is a zero the polynomial 3x^2+2x+k, find the value of k
Answer:
value of K =16
I hope it's helps you
18
20 men, 10 women and 10 children are in a competition.
The mean score for the women is 15.6.
The mean score for the children is 9.2.
Kevin says that the mean score for all 40 people is 11.2.
Work out the mean score for the men.
Answer:
20
Step-by-step explanation:
The mean score for the women = 15.6
Sum of score for the women = 15.6*10 = 156
The mean score for the children = 9.2
Sum of score for the children = 9.2 * 10 = 92
The mean score for all 40 people = 11.2
Sum of the score of 40 people = 11.2 *40 = 448
Sum of the score for 20 men = 448 - 92 - 156 = 200
Mean of the score for the men = 200÷ 20 =20
What is the measure of ∠
A. 60°
B. 6°
C. 42°
D. 49°
hi i just need a simple explanation for this question!
Answer:
5/3
Step-by-step explanation:
3^5 = 27 ^x
Rewrite 27 and 3^3
3^5 = 3^3^x
We know that a^b^c = a^(b*c)
3^5 = 3^(3x)
The bases are the same so the exponents are the same
5 = 3x
Divide by 3
5/3 =x
Answer:
x = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
[tex]3^{5} = 27^{x}[/tex]
These problems are getting you ready to work with exponential functions,
and ultimately with logarithms. The point here is that with variable exponents (notice the exponent is an x (on the right one) and not a number. Variable exponents can not be solved with regular algebra "rules" you need new ones.
The new ones will be Logs....
For now (until you learn logs) , you have to use some "tricks"
the "trick" in this problem is that you have to realize that 27 = [tex]3^{3}[/tex]...
with "common bases" this problem becomes trivial
[tex]3^{5} =(3^{3} ) ^{x}[/tex]
so now the bases are the same and the equals sign suggests that
3x = 5
thus x = [tex]\frac{5}{3}[/tex]
Not really understanding this, thanks for help in advance
Answer:
102
Step-by-step explanation:
Exterior angle is sum of interior angles.
∠1 = 51 + 51
∠1 = 102
Answer: m∠1 = 102°
Step-by-step explanation:
The inside angles of a triangle always add up to 180°
so get the 3rd inside angle with
[tex]180-51-51=78[/tex]
And we know that a straight line in 180° on each side
So we take 180° and subtract 78° to get our answer 102°
Find the size of the angles marked by letters in the following diagram.
a=132°
b=20°
Answer:
Solution given:
a=132°[exterior angle of a cyclic quadrilateral is equal to the opposite interior angle]
again
In ∆ BCO is similar to ∆ BOE
so
b=20°[corresponding angle of similar triangle are equal]
Find the volume of the composite solid.
10 cm
12 cm
32 cm
10 cm
Answer:
Your is answer would be choice C which is : 32 cm
Step-by-step explanation:
height increase (m)
Temperature drop (°C)=
200
If the temperature at a height of 500 m is 23°C, what will it be when you climb to 1300 m
How far would you need to climb to experience a temperature drop of 5°C?
Complete question is;
In mountaineering, in general, the higher you go, the colder it gets. This formula shows how the heights and temperatures are related.
Temperature drop (°C) = height increase(m)/200
A) If the temperature at a height of 500 m is 23°C, what will it be when you climb to 1300 m
B) How far would you need to climb to experience a temperature drop of 5°C
Answer:
A) 19°C
B) 1500 m
Step-by-step explanation:
A) We are told that the temperature is at a height of 500 m is 23°C, now we want to find the temperature when height increases to 1300 m.
Thus, it means;
Height increase = 1300 - 500 = 800 m
Thus, from the formula;
Temperature drop (°C) = height increase(m)/200, we have;
Temperature drop (°C) = 800/200 = 4°C
Now,since Initial temperature was 23°C, thus temperature at this increased height ; 23°C - 4°C = 19°C
B) for a temperature drop of 5°C, we have;
5°C = height increase(m)/200
Height increase = 200 × 5
Height increase = 1000 m
Thus, you will need to climb; 500 + 1000 = 1500 m
Tìm x,y thỏa mãn: x^2-2xy+3y-5x+7=0
I think there's an error with this question. Mind to check it back and tell me the detail?
A motorist travels 90 miles at a rate of 20 miles per hour. If he returns the same distance at a rate of 40 miles per hour, what is the average speed for the entire trip, in miles per hour?
Answer:
The answer is x = 1800
Step-by-step explanation:
Hope this helps :)
Have a nice day.
Graph the first six terms of a sequence where a_1=4 and r=2
Step-by-step explanation: The standard formula for geometric sequence is an = a1 * r^(n-1) where r is the geometric factor and n is an integer. In this problem, upon substitution, an = 4*2^(n-1).
pls answer correct
for class 9 only
Answer:
hope it helps
Step-by-step explanation::
a) Consider a body having initial velocity 'u'. Suppose it is subjected to a uniform acceleration 'a' so that after time 't' its final velocity becomes 'v'. Now, from the definition of acceleration we know that:
Acceleration = Time taken Change in velocity or Acceleration = time taken
Final velocity- Initial velocity
So, a= t v−u
at=v−u and, v=u + at
where v= final velocity of the body
u= initial velocity of the body
a= acceleration
and t= time taken
(b) Initial velocity, u=54km/h=15m/s
Final velocity, v=0m/s
Time, t=8s
Acceleration, a=?
a= t v−u
= 8 0−15
= 8 −15 m/s 2
=−1.875m/s 2
A data set is displayed using a dot plot. The range of the data is between 50 and 90, and the distribution is skewed left. Where is there most likely a peak in the data?
left side of the graph
right side of the graph
middle of the graph
cannot be determined without more information
please help
Hello,
Your answer would be right side of the graph
Please mark as brainiest
The peak in the data would likely be the right side of the graph.
The distribution of a data set when displayed on a dot plot is said to be skewed left (left skewed) when most of the data appear on the right side of the graph. This means, the highest scores are on the right while the lowest values of the variable are on the left side of the graph (in order words, tapers towards the left of the graph). See the image labelled A in the attachment below.
Also, for a data set distribution that is skewed right (right skewed), most of the data appear on the left side of the graph. It will have a tail tapering to the right. See the image labelled A in the attachment below.
For a data distribution that is skewed to the left, the peak in the data would most likely be at the right side of the graph.For a data distribution that is skewed to the right, the peak in the data would most likely be at the left side of the graph.Therefore, for data set that ranges between 50 and 90, and the distribution is skewed left, the peak in the data would be to the right of the graph.
Learn more about skewness of a data set here:
https://brainly.com/question/3252860
ASAPpppppppppppppppppppppp
Answer:
-4/5
Step-by-step explanation:
2/5 ÷ -1/2
Copy dot flip
2/5 * -2/1
-4/5
1) 18,27 – 9,756 =
2) 6 – 2,407 =
3) 18 – 5,432 =
4) 10 – 7,602 =
5) 13,013 – 12,5 =
6) 972,5 – 247,451 =
7) 83,12 – 90,2 + 12,3 =
8) 46,75 – 60,13 + 32,50 =
9) 254,0187 – 29,34682 =
10)1.015,568 – 123,712 =
no entiendo me ayudan
Answer:
1) -7929
2) -2401
3)-5414
4) -7592
5) 12888
6)-237726
7) 7287
8)-4588
9)-394495
10) 891856
giving brainliest
2 variable table
Answer:
41
136
155
193
Step-by-step explanation:
use the equation 19*d+22=h
19 represents the number of hats knitted per day
22 represents the already made hats
Answer:
hhhhhhhhhhhhhhhhhhu
Step-by-step explanation:
Nigel is making holiday cookies. His recipe calls for 1/2 pound of raisins. The recipe also calls for 1/4 pound of dates and 1/8 pound of dried apricots. How much dried fruit will be put into the cookies in all?
A: 1/8 pound
B: 3/8 pound
C: 5/8 pound
D: 7/8 pound
Answer:
D. 7/8 pound
Step-by-step explanation:
1/2+1/4+1/8=7/8
7/8 pound of dried fruit will be put into the cookies in all.
Which pair of angles are vertical angles?
ZWRU and ZSRT
ZWRS and VRT
w
ZVRU and ZTRS
R
AVRT and ZSRT
O
Given:
A figure.
To find:
The pair of vertical angles.
Solution:
If two lines intersect each other, then they form 4 disjoint angles at the intersection point. From these 4 angles the alternative angles are known as vertical angles or vertically opposite angles.
In the given figure, the line TW and line SV intersect each other at R. So, the pair of vertical angles is [tex]\angle WRS[/tex] and [tex]\angle VRT[/tex].
Therefore, the correct option is B.
∠WRS and ∠VRT are vertically opposite angles
Vertical angles:Vertical angles are a pair of opposite angles formed by intersecting lines. They are formed when two lines meet. This angles are vertically opposite each other.
Vertically opposite angles are equal or congruent.
Therefore,
∠WRS and ∠VRT are vertically opposite angles
learn more on vertical angles here: https://brainly.com/question/17065398
Anyone good at Ks3 math?
Answer:
210 Km
Step-by-step explanation:
Distance travelled is calculated as
distance = speed × time ( time is in hours )
= 90 × 2 [tex]\frac{1}{3}[/tex]
= 90 × [tex]\frac{7}{3}[/tex]
= 30 × 7
= 210 Km
Find the area of the triangle.
A. 73.6ft^2
B. 65.8 ft^2
C. 69.1 ft^2
D. 70.8 ft^2
The area of the triangle is (A) [tex]73.6ft^{2}[/tex].
What is trigonometry?The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.Trigonometric area of a triangle:Area = [tex]\frac{1}{2}[/tex] × [tex]a[/tex] × [tex]b[/tex] × [tex]sin[/tex] (θ)
Solution -Now, out the values in the formula for the solution.
[tex]A=\frac{1}{2} (16)(10)sin(67^{o} )\\A= 80sin(67^{o} )\\[/tex]
[tex]A=73.6ft^{2}[/tex]
Therefore, the area of the given triangle is (A) [tex]73.6ft^{2}[/tex].
Know more about the area of triangles here:
https://brainly.com/question/17335144
#SPJ2
Please help me anyone
Answer:
115
Step-by-step explanation:
When x = -11, x^2 = 121. y = 121 - 6 = 115.
Hope this helped,
~cloud
Answer:
115
Step-by-step explanation:
y = x^2 - 6
Let x = -11
y = (-11)^2 - 6
y = (121) -6
= 115
What is the equivalent expression to 7/5y What is the equivalent expression to 0.68y What is the equivalent expression to 3/5y What is the equivalent expression to 1.32y
Given:
The expressions are:
[tex]\dfrac{7}{5}y[/tex]
[tex]0.68y[/tex]
[tex]\dfrac{3}{5}y[/tex]
[tex]1.32y[/tex]
To find:
The equivalent expression to the given expressions.
Solution:
There can be more than one equivalent expressions to the given expression.
[tex]\dfrac{7}{5}y=1.4y[/tex]
Therefore, [tex]1.4y[/tex] is equivalent to [tex]\dfrac{7}{5}y[/tex].
[tex]0.68y=\dfrac{68}{100}y[/tex]
[tex]0.68y=\dfrac{17}{25}y[/tex]
Therefore, [tex]\dfrac{17}{25}y[/tex] is equivalent to [tex]0.68y[/tex].
[tex]\dfrac{3}{5}y=0.6y[/tex]
Therefore, [tex]0.6y[/tex] is equivalent to [tex]\dfrac{3}{5}y[/tex].
[tex]1.32y=\dfrac{132}{100}y[/tex]
[tex]1.32y=\dfrac{33}{25}y[/tex]
Therefore, [tex]\dfrac{33}{25}y[/tex] is equivalent to [tex]1.32y[/tex].
Log5 =0,699 find log 0,5
Answer:
-0.301
Step-by-step explanation:
Correct Question :-
If log 2 = 0.301 , find log 0.5
Solution :-
We are here given that the value of log 5 is 0.699 . Here the base of log is 10 .
[tex]\rm\implies log_{10}2= 0.301 [/tex]
And we are supposed to find out the value of log 0.5 . We can write it as ,
[tex]\rm\implies log_{10}(0.5) = log _{10}\bigg( \dfrac{5}{10}\bigg)[/tex]
Simplify ,
[tex]\rm\implies log _{10}\bigg( \dfrac{1}{2}\bigg)[/tex]
This can be written as ,
[tex]\rm\implies log_{10} ( 2^{-1})[/tex]
Use property of log ,
[tex]\rm\implies -1 \times log_{10}2 [/tex]
Put the value of log 2 ,
[tex]\rm\implies -1 \times 0.301 =\boxed{\blue{-0.301}} [/tex]
Hence the value of log (0.5) is -0.301 .
*Note -
Here here there was no use of log 5 in the calculation .
Two adjacent angles of a parallelogram have equal measure. Find the
measure of each of the angles of the parallelogram.
Step-by-step explanation:
Let ABCD be the parallelogram with ∠A = ∠B.
We know: Sum of adjacent angles = 180°
∠A + ∠B = 180º
2∠A = 180º (∠A = ∠B)
∠A = 90º
∠B = ∠A = 90º
∠C = ∠A = 90º (Opposite angles)
∠D = ∠B = 90º (Opposite angles)
Thus, each angle of the parallelogram measures 90º
Answer:
All 4 angles are 90 degrees.
Step-by-step explanation:
The measure of 2 adjacent angles in a parallelogram add up to 180 degrees.
If they have equal measure then they are both 90 degrees.
As it is a parallelogram:-
the measure of each angle is 90 degrees.
Find the circumference and area of a circle with a diameter of 12 cm. (Use the approximation of 3.14 for )
