Answer:
10.05
Step-by-step explanation:
-16x2+148x+128=0 (we can divide out a -4 )
4x2-37x-32=0, (now use the quadratic formula)
(37±sqrt(372-4(4)(-32))/(2*4)=x, x=10.046 & x=-.796
the product of 4 and twice a number is 60
Answer: I think the answer would be 4+2n=60.. might be wrong though
Step-by-step explanation:
Please Answer I Would Really Appreciate It :)
What is the mean?
–3–6–2–1–8–4–9–7
Answer:
Its 5!
Step-by-step explanation:
You add up all the numbers then divide by the total of number of numbers you added up!
At a drug rehab center 40% experience depression and 28% experience weight gain. 11% experience both. If a patient from the center is randomly selected, find the probability that the patient (Round all answers to four decimal places where possible.)
a. experiences neither depression nor weight gain.
b. experiences depression given that the patient experiences weight gain.
c. experiences weight gain given that the patient experiences depression.
(round to 4 decimal places)
d. Are depression and weight gain mutually exclusive?
yes
no
e. Are depression and weight gain independent?
no
yes
Using probability concepts, it is found that:
a) 0.43 = 43% probability that the patient experiences neither depression nor weight gain.
b) 0.3929 = 39.29% probability that the patient experiences depression given that the patient experiences weight gain.
c) 0.275 = 27.5% probability that the patient experiences weight gain given that the patient experiences depression.
d) No.
e) No.
---------------------
Conditional probability is an important part of the exercise.The formula is:[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
P(B|A) is the probability of event B happening, given that A happened. [tex]\mathbf{P(A \cap B)}[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.----------------------
40% experience depression, thus [tex]P(A) = 0.4[/tex]28% experience weight gain, thus [tex]P(B) = 0.28[/tex]11% experience both, thus: [tex]P(A \cap B) = 0.11[/tex]Item a:
The probability of experiencing at least one of them is:[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.4 + 0.28 - 0.11 = 0.57[/tex]
The probability of none is:[tex]p = 1 - P(A \cup B) = 1 - 0.57 = 0.43[/tex]
0.43 = 43% probability that the patient experiences neither depression nor weight gain.
Item b:
This probability is: [tex]P(A|B)[/tex].Using conditional probability:[tex]P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{0.11}{0.28} = 0.3929[/tex]
0.3929 = 39.29% probability that the patient experiences depression given that the patient experiences weight gain.
Item c:
Similar to b, thus:[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.11}{0.4} = 0.275[/tex]
0.275 = 27.5% probability that the patient experiences weight gain given that the patient experiences depression.
Item d:
[tex]P(A \cap B) \neq 0[/tex], thus, the events are not mutually exclusive.
Item e:
We have that: [tex]P(A \cap B) = 0.11[/tex]Also: [tex]P(A)P(B) = 0.4(0.28) = 0.112[/tex][tex]P(A \cap B) = P(A)P(B)[/tex], thus, the are not independent.A similar problem is given at https://brainly.com/question/21421475
Find the y-intercept of the line on the graph.
Enter the correct answer.
10 POINTS
⚠️⚠️⚠️PLZZZ HELP ⚠️⚠️⚠️Which shows a reflection over the x-axis?
Answer:
option #1 is a reflection over the x-axis.
Step-by-step explanation:
option #1 is a reflection over the horizontal axis, which is the x-axis. the end of the bold horizontal line in the middle of the graph (the one that goes from side to side) is labeled with an "x" which indicates that it's the x-axis.
option #2 is a reflection over the vertical axis, which is the y-axis. the top of the bold vertical line in the middle of the graph (the one that goes up and down) is labeled with a "y" which indicates that it's the y-axis.
option #3 is not a reflection over either of the axes. it actually seems to be a rotation rather than a reflection.
i hope this helps! have a lovely day <3
Answer: First option
Step-by-step explanation:
I need help with this
Answer:
look at the picture i sent.......
The value of 3' x10, when x = -2, can be
written in simplest form as a lb, where
a=
and b =
Answer:
[tex]a = 8[/tex] and [tex]b = 2[/tex]
Step-by-step explanation:
Given
[tex]\sqrt[3]{x^{10}}[/tex]
[tex]x = -2[/tex]
Required
Express as: [tex]a\sqrt[3]{b}[/tex]
Substitute -2 for x in [tex]\sqrt[3]{x^{10}}[/tex]
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{(-2)^{10}}[/tex]
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{1024}[/tex]
Express 1024 as 2^10
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{10}}[/tex]
Apply law of indices:
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{9+1}}[/tex]
Apply law of indices: Split
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{9}*2^1}}[/tex]
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{9}} *\sqrt[3]{2^1}}[/tex]
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{9}} *\sqrt[3]{2}}[/tex]
[tex]\sqrt[3]{x^{10}} = 2^{9*\frac{1}{3}}} *\sqrt[3]{2}}[/tex]
[tex]\sqrt[3]{x^{10}} = 2^3 *\sqrt[3]{2}}[/tex]
[tex]\sqrt[3]{x^{10}} = 8\sqrt[3]{2}}[/tex]
By comparison:
[tex]a = 8[/tex] and [tex]b = 2[/tex]
Answer:
a=-8 and b=-2
Step-by-step explanation:
Edge
wo 6-sided number cubes are rolled for a board game. The 2 numbers are then added together to determine how many spaces the player advances on the board. Select the method of display that would be best for showing all of the outcomes for each number cube and the sums that would result. Create the display, and justify the reasoning behind your choice.
Answer:
The odds of rolling a 3 on a 6-sided number cube is 1 out of 6. The odds of rolling a 3 on either of two 6-sided cubes are 1/3. This is because 1/6 * 2 = 1/3. Therefore, an average of one-third of rolls will have a 3 in them. 1/3 expressed as a decimal is .3 repeating (.3333333 etc) and that rounds to 33 which is less than 34.
Step-by-step explanation:
Which is the smallest integer? - 11;53; 33; -13; -7
-13 is the smallest among these integers.
Answer:
- 13
Step-by-step explanation:
The scatter plot shows Leanna's elevation above sea level during a hike. The trend line passes
through the points (30,1070) and (75,1680). If Leanna starts at 663 feet above sea level and
maintains the same rate, how far above sea level will she be after one hour?
Answer:
The y-intercept is 663 and the slope is 13.56.Thus, the equation for the trend line is y = 13.56x + 663
Step-by-step explanation:
After one hour, her altitude will be
1476.60 feet above sea level. that was only if u get a part b
A deck of cards contains red cards numbered 1,2,3, Blue cards numbered 1,2,3,4,5,6, and green cards numbered 1,2. If a single card is picked at random, what is the probability that the card is not green? Provide the final answer as a fraction?
Answer:
[tex]\frac{9}{11}[/tex]
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
We have:
3 red cards
6 blue cards
2 green cards.
What is the probability that the card is not green?
3 + 6 + 2 = 11 cards, of which 3 + 6 = 9 are not green. So
[tex]\frac{9}{11}[/tex] probability that the card is not green
QUESTION IS IN THE PICTURE, PLEASE HELP!!
Answer:
The median is 5, mode is 5, and range is 12
Step-by-step explanation:
Answer:
MEDIAN - 5
MODE - 2 (4times)
RANGE - 13-1=12 (12 is the range)
Step-by-step explanation:
MEDIAN - Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
MODE - The mode is the element that occurs most in the data set. In this case, 2 occurs 4 times.
RANGE - Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 13-1=12
Lisa wants to buy a pair of pants at the mall. The pants originally cost $80, but they are on sale for 15% off. What is the price that she will have to pay for the pants?
Answer:
$68
Step-by-step explanation:
Original cost of pair of pants at the mall:
100% = 80
1% = 80 ÷ 100 = 0.80
15% = 0.80 x 15 = 12 (Sale price)
80 - 12 = 68 (Price after the sale)
Help please if you know the answer
Answer:
180-140=a
180-90=b
180-a-b= your ans
About 1/6 of a fruit punch is pineapple juice. About 1/9 of the punch is orange juice. Write and solve an equation to find the fraction of the punch that is pineapple juice or orange juice.
Answer:
Step-by-step explanation:
1/6 + 1/9 = 3/18 + 2/18 = 5/18
5/18 of the punch is either pineapple or orange.
The fraction that represents pineapple juice or Orange juice is 11/30
What is a fraction?A common fraction is a numeral that represents a rational number. A fraction is a part of a whole.
Given here pineapple juice is 1/6 of a fruit punch and orange juice is 1/9 of the punch. Let the whole punch is equal to x then
pineapple juice =( 1/6) × x and Orange juice = (1/9 )× x
Hence the total of the pineapple juice and orange juice is ( =1/6) × x + (1/9 ) × x
=11x/30
Now this total expressed as part of the whole is 11x/30 / x = 11/30
Hence, the final answer is equal to 11/30
Learn more about fractions here:
https://brainly.com/question/10354322
#SPJ5
The three sides of a triangle measure 4, 13, and n. What is the range of possible lengths of n?
Answer: if those are the smaller parts then the other side has to be as big as the 2 together or more and if the 13 is the biggest part the other has to be something plus the 4 that makes 13 or more
Step-by-step explanation:
Answer:
the possible lenths are 13 or more
0.563498 TO 3 DECIML PLACES
Answer:
0.563
Step-by-step explanation:
0.563498 ~ 0.563
here the 3 decimal place is '3' and using the 4rth decimal place we determine wether it will be '3' or the next num '4' .
The 4rth place is '4'(as it is lesser than 5) the 3rd decimal place will become 3.
I hope im right and i hope I am understood
Jeremy bought 3 pairs of pants for $68.25. Each pair of pants cost the same amount. How much will he pay for 5 pairs of pants at the same price per pair?
$170.63
$341.25
$113.75
$22.75
Answer:
113.75
Step-by-step explanation:
Different shapes are drawn on cards and then the cards are placed in a bag. The number of cards for each shape is shown in the table.
Shape octagon square circle
Number of cards 12 27 91
What is the probability that a randomly selected card has a circle drawn on it?
Answer:
5 %
Step-by-step explanation:
Test test 123 123 12345678
Answer:
test test 9101112131415
Answer:
Answer answer 233 234 23456789
Step-by-step explanation:
is that right.......:)
Landen has his daily video gaming time each day for 7 days. But one day he plays and extra 50 minutes. His total video playing time for the week was 540 minutes. How long is his daily video playing time? Choose the equation that describes this word problem.
Answer:
im thinking 25 or 24
Step-by-step explanation:
sorry if i made you get it wrong
what is the value of X in the figure shown below
Answer:
32
Step-by-step explanation:
un autobús A hace recorrido cada 8 días y otro autobús B lo hace cada 10 días. Si coinciden en su salida en la central de autobuses el día 20 de noviembre ¿Cuando volverán a coincidir??
ayuda por favor es para hoy
Answer:
R/= se volveran a encontrar el 30 de diciembre
Step-by-step explanation:
voy a sacar el m.c.m :
8 10 =2
4 5 =2
2 5 =2 2x2x2x5= 8x5 =40
1 5 = 5
1 1 =
Solve the equation by balancing 3n+2=17
Answer:
3n=17-2
3n=15
n=15/3
n=5
Step-by-step explanation:
therefore putting the value of n=5 the equation can be balance
50 POINTS (SUPER IMPORTANT PLEASE HELP)
Simplify 6/√5 with steps and simplify 5/√45 with steps
#1
[tex]\sf \longmapsto \dfrac{6}{ \sqrt{5} } [/tex]
[tex]\sf \longmapsto \: \dfrac{6}{5} \sqrt{5} [/tex]
[tex]\sf \longmapsto2.683282[/tex]
#2
[tex]\sf \longmapsto5/\sqrt{45} [/tex]
[tex]\sf \longmapsto \: \dfrac{1}{3} \sqrt{5} [/tex]
[tex]\sf \longmapsto0.745356[/tex]
A wave has frequency of 10 Hz and a speed of 30 m/s. What is the wavelength of the
wave?
Answer:
[tex]\lambda = 3[/tex]
Step-by-step explanation:
Given
[tex]v = 30m/s[/tex]
[tex]f = 10\ Hz[/tex]
Required
Determine the wavelength [tex]\lambda[/tex]
This is calculated as:
[tex]\lambda = \frac{v}{f}[/tex]
Substitute values for v and f
[tex]\lambda = \frac{30}{10}[/tex]
[tex]\lambda = 3[/tex]
Hence, the wavelength is 3
виконати питання,..
.
..
Answer:
what kanguage s this?!!
Step-by-step explanation:
Solve 4^x+2 = 2^x-1. What are the exact and approximate solutions?
Answer:
no solution
Step-by-step explanation:
examples: 4^1 + 2 = 2^ 1 -1 and the answer is 6 = 1 which is not true. So its gonna be hard for them to have a solution.
Answer:
C. x = -5 ln 2/ ln 2 = -5
Step-by-step explanation:
Evaluate x1 - x1 + x0 for x = 2.
0
1/2
1 1/2
2 1/2
Answer:
the answer is 0
Step-by-step explanation:
hoped I helped:)
Answer: 2 1/2
Step-by-step explanation: