Answer:
[tex]\boxed {\boxed {\sf 15}}[/tex]
Step-by-step explanation:
Distance is calculated using this formula:
[tex]d=\sqrt {(x_2-x_2)^2+(y_2-y_1)^2[/tex]
where (x₁, y₁) and (x₂, y₂) are the points. We are given (-3,8) and (-3,7). Therefore;
[tex]x_1= -3 \\y_1= 8 \\x_2= -3 \\y_2= -7[/tex]
Substitute the values into the formula.
[tex]d= \sqrt {(-3--3)^2+(-7-8)^2[/tex]
Solve inside the parentheses.
-3 - - 3= -3+3= 0 -7 - 8 = -15[tex]d= \sqrt {(0)^2+(-15)^2[/tex]
Solve the exponents.
0²=0*0= 0 -15²= -15*-15=225[tex]d=\sqrt {0+225[/tex]
[tex]d=\sqrt {225[/tex][tex]d= \pm 15[/tex]
A negative number for distance doesn't make sense, so the distance must be 15.
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
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 10 child bikes and 12 adult bikes in the week. (2 points) Group of answer choices Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answer:
like biking
Step-by-step explanation:
u like to bike/
The sum of two numbers is 20.5 and the difference of the same two numbers is 6.5.
Find the two numbers. *
Answer:
13.5 and 7
Step-by-step explanation:
x + y = 20.5
x - y = 6.5
Hence,
x = 20.5 - y
20.5 - 2y = 6.5
Hence,
2y = 14
y = 7
and x = 20.5 - y = 20.5 - 7 = 13.5
The two numbers are are 13.5 and 7.
What linear equations represents the numbers?a + b = 20.5 equation 1
a - b = 6.5 equation 2
Where a and b represents the two numbers
What is the value of b?In order to determine the value of b, subtract equation 2 from 1
2b = 14
Divide both sides by 2
b = 7
What is the value of a?Substitute for b in equation 1
a + 7 = 20.5
a = 20.5 - 7
a = 13.5
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
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
Find the whole.
140% of ___ is 35
Answer:
140 percent (calculated percentage %) of what number equals 35? Answer: 25.
Step-by-step explanation:
Answer:4
Step-by-step explanation:
4
I need help with this
Answer:
look at the picture i sent.......
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:
Find the product
0.037 · 0.26
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
what is the diameter of a circle whose area is 616cm
Answer:
308cm
Step-by-step explanation:
We know that,
Radius of a circle(r)= diameter/2
So, r= 616/2
i.e 308cm
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:
Use synthetic substitution to find |(3) for f(x) = x2 - 9x +5.
Oa. 41
Ob.-23
Oc. -13
Od. -16
Answer:
-13
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:
The price of gasoline rose from $1.54 to $3.85.
A: What is the percent increase?
B: If the price reverses from $3.85 to $1.54, what is the percent decrease?
Answer:
Step-by-step explanation:
dollar amount of increase = $3.85 - $1.54 = $2.31
percentage increase = (amount of increase)/(original price) = $2.31/$1.54 = 1.5 = 150%
Help please if you know the answer
Answer:
180-140=a
180-90=b
180-a-b= your ans
Find X intercept of f(x)=2(x-4)^2+2
Step-by-step explanation:
[tex]f(x) = 2( x - 4) ^{2} + 2 \\ f(x) = 2({x}^{2} - 8x + 16) + 2 \\ f(x) = 2 {x}^{2} - 16x + 32 + 2 \\ f(x) = 2 {x}^{2} - 16x + 34[/tex]
Jason ran 2 3/4 miles in 2/5 of an hour. How far can jason run in one hour
Answer:
6 7/8 miles per hour
Step-by-step explanation:
2 3/4 ÷ 2/5
change mixed number into improper fraction; 2 3/4 = 11/4
when dividing fractions, multiply by the reciprocal of the second fraction
11/4 ÷ 2/5 = 11/4 · 5/2 = 55/8 or 6 7/8 mph
(8p-2)(6p+2)
multiplying polynomials please help me
Answer:
48p2+4p-4
Step-by-step explanation:
Answer:
48p² +4p -4
Step-by-step explanation:
A polynomial of two terms is called a 'binomial'.
Here, we are multiplying 2 binomials.
This is so common, there is a standard way to do it. The method is called FOIL, which means "firsts, outsides, insides, then lasts"
You do it like this:
multiply the 'first terms' of each binomial --> 8p*6p = 48p²
multiply the 'outside' terms, far left and far right --> 8p*2 = 16p
multiply the 'inside' terms, the two terms in the 'middle' --> -2*6p = -12p
multiply the 'last' terms of each binomial --> -2 * 2 = -4
Add 'like' terms: 48p² + (16p - 12p) -4
Answer ---> 48p² +4p -4
Is the following number rational or irrational?
0.7
Choose 1 answer:
A
Rational
B
Irrational
Answer:
it is rational cause it can be turned into a fraction 0.7= 7/10
which inequality has the same solution set as 3(q + 6) > 11?
3q + 18 < 11
3q + 6 > 11
q + 18 > 11
q + 18 > 11
Given:
The inequality is
[tex]3(q+6)>11[/tex]
To find:
The inequality that has the same solution set as the given inequality.
Solution:
We have,
[tex]3(q+6)>11[/tex]
Using distributive property, we get
[tex]3(q)+3(6)>11[/tex]
[tex]3q+18>11[/tex]
Since the given inequality can be rewritten as [tex]3q+18>11[/tex], therefore the inequality [tex]3q+18>11[/tex] has the same solution set as [tex]3(q+6)>11[/tex].
Hence, all options are incorrect. The required inequality is [tex]3q+18>11[/tex].
Answer:
3q+18 > 11
Step-by-step explanation:
5.1 Percentage changes
1. In February 2019, 195,676 mortgages were outstanding in the UK, which represented 0.38%
of all mortgages. How many total mortgages were in the UK market at that time?
Answer:
Rounded to the nearest integer, at that time there were about 51,493,684 mortgages in the UK market.
Step-by-step explanation:
Given that in February 2019, 195,676 mortgages were outstanding in the UK, which represented 0.38% of all mortgages, to determine how many total mortgages were in the UK market at that time the following calculation must be performed:
0.38 = 195.676
100 = X
(100 x 195,676) / 0.38 = X
19,567,600 / 0.38 = X
51,493,684.21 = X
Thus, rounded to the nearest integer, at that time there were about 51,493,684 mortgages in the UK market.
A study was conducted to investigate whether a new drug could significantly reduce pan in people with arthritis. From a group of 500 people with arthritis 250 were randomly assigned to receive the drug (group 1) and the remaining people were assigned a placebo (group 2). After one month of treatment, 225 people in group 1 reported pain relief and 150 people in group 2 reported pain relief Let Pe represent the combined (or pooled) sample proportion for the two samples. Have the conditions for inference for testing the difference in population proportions been mel? (A) No. The people in the study were not selected at random (6) (B) No. The number of people in the study was too large compared with the size of the population (C) No. The normality of the sampling distribution cannot be assumed because Pe times each sample size is not sufficiently large (D) No. The normality of the sampling distribution cannot be assumed because I - Pe times each sample size is not sufficiently large 6 (E) Yes. All conditions for inference have been met
Answer:
(C) No. The normality of the sampling distribution cannot be assumed because Pe times each sample size is not sufficiently large
Step-by-step explanation:
The above happens to be the true statement to the question asked about the new drug study which was carried out just to know its effect with those patients suffering from arthrities.
6(y-12) someone please help
Answer:
-6y
Step-by-step explanation:
6 - 12 = -6
-6 * y = -6y
Hope this helps :)
Answer:
6y-72
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 car travels about 46 feet in one second. At this speed,
about how many feet will the car travel in 2 seconds?
A
920 feet
B
48 feet
480 feet
D
92 feet
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
math problemmmmm
—————————-
Answer:
The answer to your question is x = 4
x=4
Step-by-step explanation:
To start figuring this out, you need to combine like terms.
To start, you can combine all terms containing the variable x, which is 2x and 3x. This would then make the equation 5x+7-2=25.
You then need to combing the singular numbers, 7 and -2. Doing this brings the equation to 5x+5=25.
From here, subtract 5 from both sides to get you 5x=20.
Finally, you divide both sides by 5 to get you x=4.
I hope this helped!! Let me know if you need any further help!
please answer correctly it’s urgent!!
Answer:
Perimeter: 26 units
Area: 36 units
Step-by-step explanation:
EH = 4 units
HG = 9 units
GF = 4 units
FE = 9 units
Add them all up to find the perimeter
4 + 4 + 9 + 9 = 26
Then multiply the side by length to get the area
4 * 9 = 36
How does the distance of the mouse change every 2 seconds? 0) Every 2 seconds, the distance the mouse travels i___ by __ feet.
Time|. 0|2|4|6
Distance|0|22|44|66
There's the graph please help
Answer:
22 feet (if the distance is in feet, and the time in seconds)
Step-by-step explanation:
t = time
d = distance
To see if the mouse's distance is proportional to the time, you divide the distance with the time:
[tex]t_{3}[/tex] = 4
[tex]d_{3}[/tex] = 44
44 / 4 = 11
[tex]t_{4}[/tex] = 6
[tex]d_{4}[/tex] = 66
66 / 6 = 11 (the same as with 44 / 4. This means that the mouse distance and time is proportional)
Every second the mouse travels 11 feet.
And every other second the mouse travels 22 feet. (since (1, 11)*2 = (2, 22))
That may have been confusing, and if you have any questions, don't be afraid to ask them in the comments below!
Have a good day!
Answer:
increases by 22
translate twise the sum of a and b,subtracted from c2 into algebraic symbols.
a.2a+b-c2
b.c2-2(a+b)
c.2(a+b)-c2
d.c2-2ab
Answer:
c)
Step-by-step explanation:
Can't be b) or d) because you have to substract... from c2, so it's not c2 -... And it has to be c) because in a) you don't have twice the sum of a and b, you only have twice a and than you add b.
So it's c)