Answer:
P (X = 5) = a and P (X = 6) = 0.38 - a
Step-by-step explanation:
The sum of probabilities of all the events in a sample space is known is 1.
That is:
[tex]\sum\limits^{n}_{i=1}[P(X=x_{i})]=1[/tex]
It is provided that, the random variable X, can assume values 0, 1, 4, 5, and 6.
The incomplete probability distribution is:
X P(X = x)
0 0.26
1 0.25
4 0.11
5 __
6 __
Compute the missing probabilities as follows:
[tex]\sum\limits^{n}_{i=1}[P(X=x_{i})]=1[/tex]
[tex]P(X=0)+P(X=1)+P(X=4)+P(X=5)+P(X=6)=1\\\\0.26+0.25+0.11+P(X=5)+P(X=6)=1\\\\0.62+P(X=5)+P(X=6)=1\\\\P(X=5)+P(X=6)=1-0.62\\\\P(X=5)+P(X=6)=0.38[/tex]
Assume that P (X = 5) = a.
Here the value of a lies in the interval 0 ≤ a ≤ 0.38.
Then the value of P (X = 6) will be:
P (X = 6) = 0.38 - a
Thus, the complete probability distribution is:
X P(X = x)
0 0.26
1 0.25
4 0.11
5 a
6 0.38 - a
Describe a pattern in the sequence of numbers. Predict the next number.
1. 256, 64, 16, 4, ...
2. 2, 6, 18, 54, ...
Answer:
Pattern = Start at 256 and divide by 4 each time. Next number = 1.Pattern = Start at 2 multiply by 3 each time. Next number = 162In the first sequence, the next term here is 1. In the second sequence; the next term is 162.
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
In the first sequence, 256, 64, 16, 4, ...
Consider ratio of the next term with its preceding term, so we will get the common ratio;
4/ 16 = 1/4
So, we can see that the next term of the sequence is 1/4 times the previous term.
Hence, the unknown term will be; 1/4 times of previous term.
That is , 1/4 × 4 = 1
Therefore, the next term here is 1
In the second sequence; 2, 6, 18, 54, ...
Do the same procedure as above, we will get the common ratio as :
54 / 18 = 3
Thus, the next term is 3 times the preceding term, that is :
3 × 54 = 162
Hence, the next term is 162
Learn more about arithmetic sequence here:
https://brainly.com/question/3702506
#SPJ2
Which expressions are equal to 0 when x = –1? Check all that apply.
Answer: ACE
Step-by-step explanation:
The expression first, third, and fourth becomes zero when plugging x = -1 in the equation.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
First,
[tex]=\rm \dfrac{4\left(x+1\right)}{4x+5}[/tex]
Plug x = -1
The expression value becomes zero.
Second,
[tex]= \rm \dfrac{4\left(x-1\right)}{5-4x}[/tex]
Plug x = -1
= -8/9
Third,
[tex]\rm \dfrac{4\left(x-\left(-1\right)\right)}{4x+5}[/tex]
Plug x = -1
The expression value becomes zero.
Fourth,
[tex]\rm \dfrac{4\left(x+\left(-1\right)\right)}{4x+5}[/tex]
Plug x = -1
The expression value does not become zero.
Fifth,
[tex]\rm \dfrac{4\left(x+1\right)}{5-4x}[/tex]
Plug x = -1
The expression value becomes zero.
Thus, the expression first, third, and fourth becomes zero when plugging x = -1 in the equation.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
the midpoint of the coordinates (13,15) and (12,8) is ________
Answer:
[tex] \boxed{ \bold{ \huge{\boxed{ \sf{(12.5 \: , \: 11.5)}}}}}[/tex]
Step-by-step explanation:
Let the points be A and B
Let A ( 13 , 15 ) be x₁ , y₁ and B ( 12 ,8 ) be x₂ , y₂
Finding the midpoint
[tex] \bold{ \boxed{ \sf{midpoint \: = (\: \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2}) }}}[/tex]
[tex]\dashrightarrow{ \sf{ (\frac{13 + 12}{2} , \: \frac{15 + 8}{2} )}}[/tex]
[tex] \dashrightarrow {\sf {(\frac{25}{2} \: , \: \frac{23}{2} )}}[/tex]
[tex] \dashrightarrow{ \sf{(12.5 \: , \: 11.5)}}[/tex]
Hope I helped!
Best regards! :D
The cost of renting a car is $75/wk plus $0.25/mi traveled during that week. An equation to represent the cost would be y = 75 + 0.25x, where x is the number of miles traveled. If your cost was $96.25, how many miles were you charged for traveling?
Answer:
We know we have to pay $75 per weel plus $0.25 for each mile we traveled, from that, if we call x the miles we have travelled, the total cost would be:
[tex]C = 75 + 0.25x[/tex]
As each mile we travel costs $0.25. Now that we have that expression, they ask us how many miles did we travel if we had to pay $96.25.
The only thing we have to do is replacing the C (our total cost) per $96.25 and solve the equation we get:
[tex]96.25=75+0.25x[/tex]
[tex]96.25-75=0.25x[/tex]
[tex]21.25=0.25x[/tex]
[tex]\frac{21.25}{0.25} = x[/tex]
[tex]85 = x[/tex]
We hve traveled 85 miles.
PLS HELP FOR BRAINLIEST ANSWER
Answer:
Point C which is 1.
Step-by-step explanation:
A = -6
E = 8
M = (A + E)/2
M = (-6 + 8)/2 = 2/2 = 1
The midpoint is 1 which is point C.
Use set notation to list all the elements of the set. The natural number less than 37 that are divisible by 5.
Answer:
{5, 10, 15, 20, 25, 30, 35}
Step-by-step explanation:
The set can be listed (rostered). When it is, it will be ...
{5, 10, 15, 20, 25, 30, 35}
__
Set notation can also be used to describe the set as being a natural number less than 37 and divisible by 5:
[tex]\{n\in\mathbb{N}:(n<37)\land(n\mod{5}=0)\}[/tex]
Express the following expression in the form of a + bi: (39 + 34i) + (76 + 89i) - (47 +26i).
Answer:
68+97i
Step-by-step explanation:
work shown and pictured
Answer:
68+97i
Step-by-step explanation:
(39 + 34i) + (76 + 89i) - (47 +26i).
Distribute the minus sign
(39 + 34i) + (76 + 89i) + (-47 -26i)
Combine like terms
(39+76-47)+(34i+89i-26i)
68+97i
midpoint (-4.-27), endpoint (-5, -19)
Answer:
(-3,-35), and the slope is -8/1
Step-by-step explanation:
If you're trying to find the other endpoint, that's it, and the slope is -8/1
A car is traveling at the speed of 50 meters per second. What is the cars speed in kilometers per hour? How many kilometers will the car travel in 2 hours? Do not round your answers.
Please Help! I'm stuck!
Answer:
See attached image
Step-by-step explanation:
If you have two marbles in a bag and you are choosing the marbles randomly twice, then we can look at fractions.
Each time, you have a 0.5 chance of picking the silver marble. After you pick that, you have another 0.5 chance of picking the silver marble again.
This applies with any combination.
This means that the probability of you getting two silvers in a row is 0.25.
Since the marbles are the same size and nothing is stopping you from choosing one, this probability applies to all combinations possible.
Hope this helped!
8y=(5y+24) find the value of y
[tex]8y=5y+24[/tex] collect like-terms
[tex]8y-5y=24[/tex] subtract
[tex]3y=24[/tex] now divide
[tex]y = \frac{24}{3}\\[/tex]
[tex]y=8[/tex]
plug in the value of [tex]y[/tex] to check if the answer is correct:
[tex]8y=5y+24\\8(8)=5(8)+24\\64=40+24\\64=64[/tex]
ergo, [tex]y = 8[/tex]
A library has 167 trees on their property, but they are having trouble growing grass so they need to pay to have trees cut down each year until the property has less than 50 trees. If they can pay to have only four trees cut down this year, but eight trees cut down every year after that, in how many years will they have less than 50 trees on their property?
Answer:
15 years
Step-by-step explanation:
Given:
Number of trees = 167This year limit = 4 treesYearly limit following years = 6 trees per yearTarget number of trees = 50Building inequality:
167 - 4 - 8x < 508x > 113x > 113/8x > 14.125Adding current year to 14 we get 15 years as answer
The mean of a set of data is 4.68 and its standard deviation is 2.83. Find the z score for a value of 9.38. a.1.83 b.1.49 c.1.66 d.1.96
Answer:
[tex]z = 1.66[/tex]
Step-by-step explanation:
Given
Mean = 4.68
Standard Deviation (SD) = 2.83
Value, x = 9.38
Required
Determine the z score
z score is calculated using the following formula;
[tex]z = \frac{x - Mean}{SD}[/tex]
Substitute 9.38 for x; 2.83 for SD and 4.68 for Mean
[tex]z = \frac{9.38 - 4.68}{2.83}[/tex]
[tex]z = \frac{4.7}{2.83}[/tex]
[tex]z = 1.66[/tex] (Approximated)
Hence, the z score is 1.66
Hi, what is the answer to 4 • 7 – 62 ÷ 3
Answer:
22/3
Step-by-step explanation:
[tex]4\times\:7-\frac{62}{3}\\\\\mathrm{Multiply\:the\:numbers:}\:4\times\:7=28\\=28-\frac{62}{3}\\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:28=\frac{28\times\:3}{3}\\=\frac{28\times\:3}{3}-\frac{62}{3}\\\\=\frac{28\times\:3-62}{3}\\\\28\times\:3-62=22\\\\=\frac{22}{3}[/tex]
6. Four more than two-thirds of a number is twenty-two. Find the number.
Answer:
27
Step-by-step explanation:
Let x be the number
2/3 x+4 = 22
Subtract 4 from each side
2/3x +4-4 = 22-4
2/3 x = 18
Multiply each side by 3/2
3/2 ( 2/3x) = 18 * 3/2
x = 27
Answer:
[tex]\Huge \boxed{27}[/tex]
Step-by-step explanation:
Let the number be x.
[tex]\frac{2}{3} x+4=22[/tex]
Solve for x.
Subtract 4 from both sides.
[tex]\frac{2}{3} x+4-4=22-4[/tex]
[tex]\frac{2}{3} x=18[/tex]
Multiply both sides by [tex]\frac{3}{2}[/tex].
[tex]\frac{2}{3} x \cdot \frac{3}{2} =18 \cdot \frac{3}{2}[/tex]
[tex]x=27[/tex]
The number is 27.
if a family has 7 children, what is the interval within which the "number of children they have really falls"
Answer:
Step-by-step explanation:
If a family has 7 children, what is the interval within which "the number of children they have" really falls.
Now, number of children is a discrete variable, not a continuous one.
You are sure that the family has 7 children because the question states that.
The true interval within which the number of children they have falls is (0 - 8)
HELP!!! MATH!!! PLEASE HELP PLEASE!!! Determine the answer to 3 + (−5) and explain the steps using a number line. (5 points)
Answer:
3+(-5) = -2
Step-by-step explanation:
If you were at 3 in the number line then went back 5 spaces (which represents -5) it would be -2
red and blue ceramic tiles are laid according to a pattern such that every 21 red tiles used, 4 blue tiles are used. if a total of 425 tiles are used, how many of them are blue? setup a proportion for this scenario( use x for your unknown number of blue tiles).
Answer:
X= blue tiles
Y = red tiles
X/y = 4/21
X+y= 425
Y= 357 tiles
X= 68 tiles
Step-by-step explanation:
red and blue ceramic tiles are laid according to a pattern.
The pattern= every 21 red tiles used, 4 blue tiles are used
Total number of tiles used = 425 tiles
X= blue tiles
Y = red tiles
X/y = 4/21
X+y= 425
21x= 4y
X= 4y/21
X+y= 425
4y/21 + y = 425
25y= 425(21)
Y=( 425*21)/25
Y= 357 tiles
X= 4y/21
X= (4*357)/21
X= 1428/21
X= 68 tiles
Using proportions, it is found that there are 68 blue tiles.
This question is solved by proportions, using a rule of three.For every 21 red tiles used, 4 blue tiles are used, hence, out of every 25 tiles, 4 are blue. How many blue tiles are there out of 425?The rule of three is:
4 blue - 25 total
x blue - 425 total
Applying cross multiplication:
[tex]25x = 4(425)[/tex]
[tex]x = \frac{4(425)}{25}[/tex]
[tex]x = 68[/tex]
There are 68 blue tiles.
To learn more about proportions, you can check https://brainly.com/question/24372153
The lunch special at Karen’s restaurant is a sandwich, a drink and a dessert. THERE ARE 2 sandwiches, 4 drinks, and 1 dessert to choose from. How many lunch specials are possible?
Answer:
There are 8 possible combinations.
Look at this example:
2 sandwiches: PB&J, turkey sandwich
4 drinks: soda, water, lemonade, tea
1 dessert: cake
all 8 combos:
PB&J, soda, cakePB&J, water, cakePB&J, lemonade, cakePB&J, tea, caketurkey sandwich, soda, caketurkey sandwich, water, caketurkey sandwich, lemonade, caketurkey sandwich, tea, cakehope this helps
1/2(30)-(40) this is on integers math maze freebie to search up
Answer:
hey thanks for ur points too
Step-by-step explanation:
pls help this is geometry
Answer:
B, D, and E
Step-by-step explanation:
B) m<1 + m<2=m<4 TRUE. If you and 1, 2, and 3, you get 180. If you add 3 and 4, you get 180. So 1 and 2 must be the same as 4.
D) m<4 is greater than m<2
E) m<4 is greater than m<1
20 POINTS FOR BRAINLIEST!! The graph shows Marc's individual and cumulative tips for 7 days Which day gave Marc the sharpest boost in accumulated tips? A): Day 1 B): Day 2 C): Day 3 D): Day 4
The answer is Day 3. The blue bar for day 3 is the tallest, which means that was the highest amount.
On day 3 the sharpest boost in accumulated tips. Therefore, option C is the correct answer.
Given that, the graph shows Marc's individual and cumulative tips for 7 days.
We need to find which day gave Marc the sharpest boost in accumulated tips.
What are bar graphs?Bar graphs are the pictorial representation of data (generally grouped), in the form of vertical or horizontal rectangular bars, where the length of bars is proportional to the measure of data. They are also known as bar charts. Bar graphs are one of the means of data handling in statistics.
Now, in the given graph we can see that on day 3 tip is more.
On day 3 the sharpest boost in accumulated tips. Therefore, option C is the correct answer.
To learn more about the bar graphs visit:
https://brainly.com/question/8644324.
#SPJ2
Can somebody help me with the first set please you have to match it
Answer:
they are in the link. i answered each on in the same order they are in the picture soooo here u are.
4. Write a verbal expression for 6g^2/5
Answer:
the product of 6 and a squared number divided by 5Step-by-step explanation:
PLEASE HELP ILL PICK YOUR ANSWER AS THE BRAINLIEST FOR POINTS! Jaime flipped a coin 20 times, and it landed on heads 15 out of the 20 times. Which would be the BEST way for Jaime to change his experiment so that his experimental probability of the coin landing on heads is closer to the theoretical probability? * 1 point He could use 20 different coins and flip each coin once. He could use 10 different coins and flip each coin twice. He could flip the coin only 2 times. He could flip the coin 100 times.
Answer:
the first one im pretty sure
Step-by-step explanation:
Answer:
The First one is correct im pretty sure.
Mark is a nurse anesthetist. He administers medication that puts people to sleep for surgeries and other invasive medical procedures. For healthy adults, the manufacturer recommends using a dose of 0.6mcg/kg, which means that Mark must give his patients 0.6mcg of medication for each kg they weight. If Mark's patient weights 60kg, how much medication should he administer?
Answer:
Quantity of medicine provide to patient = 36 mcg
Step-by-step explanation:
Given:
Quantity recommend = 0.6 mcg / kg
Weight of patient = 60 kg
Find:
Quantity of medicine provide to patient
Computation:
Quantity of medicine provide to patient = Weight of patient × Quantity recommend
Quantity of medicine provide to patient = 60 × 0.6
Quantity of medicine provide to patient = 36 mcg
Find the length of segment AB. (Find the distance between the two points). A(-3,5) B(0,1)
Answer:
5
Step-by-step explanation:
The formula is [tex]\sqrt{(x_{1}-x_{2})^{2} +(y_{1}-y_{2}})^{2} }[/tex]
[tex]x_{1}[/tex]=-3 [tex]x_{2}[/tex]=0
[tex]y_{1}[/tex]=5 [tex]y_{2}[/tex]=1
[tex]x_{1}- x_{2}[/tex]=-3
[tex]y_{1}- y_{2}=4[/tex]
Therefore: [tex]\sqrt{(-3)^{2}+4^{2} } =\sqrt{9+16} =\sqrt{25}=5[/tex]
Among all pairs of numbers with a sum of 149149, find the pair whose product is maximum. Write your answers as fractions reduced to lowest terms.
Correct question is;
Among all pairs of numbers with a sum of 149, find the pair whose product is maximum. Write your answers as fractions reduced to lowest terms
Answer:
The pair whose product is maximum is 149/2 and 149/2
Step-by-step explanation:
We are told that pair of number with sum as 149 and to find the product that is maximum.
Now,let x and y be the numbers. Thus;
x + y = 149 and xy is maximum.
So, y = 149 - x
Thus, plugging 149 - x for y into the product equation gives; x(149 - x). This can be expanded to be -x² + 149x.
Using method of completing the square, we will arrive at;
-(x² - 149x) = -(x² -149x + (149/2)²) + (149/2)² = (149/2)² - (x - (149/2))²
Now, the expression gotten will have a maximum of (149/2)² when (x - (149/2))² has its minimum value of zero. This means that when x = 149/2, as x moves away from 149/2, (149/2)² would be reduced by the square of the difference between the value of x and 149/2, and the square would always be positive.
Thus, the maximum product in it's simplest form is x = y = 149/2
Which of the following pairs of fractions with a common denominator are equivalent to 1/4 and 2/5?a. 5/20, 8/20b. 1/20, 2/20c. 1/9, 2/9d. 5/20, 4/20
Answer:
a. 5/20, 8/20
Step-by-step explanation:
1/4 and 2/5
a. 5/20, 8/20
5/20
Divide both numerator and denominator by 5
= 1/4
8/20
Divide both numerator and denominator by 4
= 2/5
b. 1/20, 2/20
1/20 =1/20
2/20
Divide both numerator and denominator by 2
= 1/10
c. 1/9, 2/9
Both fractions can't be further simplified
= 1/9, 2/9
d. 5/20, 4/20
5/20
Divide both numerator and denominator by 5
= 1/4
4/20
Divide both numerator and denominator by 4
= 1/5
The correct answer is a. 5/20, 8/20
= 1/4, 2/5
5 / 20 and 8 / 20 are pairs of fractions with a common denominator that are equivalent to 1/4 and 2/5
We are ask to find the equivalent of the pairs of fractions with a common denominator 1 /4 and 2 / 5.
The logic is to reduce by dividing the options with same numerator and denominator to get the equivalent of the fraction required.
Therefore,
5 / 20 and 8 / 20
5 / 20 ÷ 5 / 5 = 1 / 4
8 / 20 ÷ 4 / 4 = 2/5
Base on the answer you can see that when we reduced option A fractions, they are the same with the required fractions.
Therefore, 5 / 20 and 8 / 20 are pairs of fractions with a common denominator that are equivalent to 1/4 and 2/5
learn more on fraction here: https://brainly.com/question/17447977?referrer=searchResults
0.28
x 0.86
it’s no answer choices ;((
Answer:
Hey there!
0.28 times 0.86 is equal to 0.2408
Let me know if this helps :)