Answer:
14 units.
Step-by-step explanation:
Graph all the points on a coordinate grid. Two sides are 4 units each and the other two sides are 3 unites each.
P = 2(l + w)
P = 2(3 + 4)
P = 6 + 8 ← (The distributive property) OR 2(7) ← (Normal way to solve)
P = 14 units and 14 units.
You could also do addition.
P = 3 + 3 + 4 + 4
P = 6 + 8
P = 14 units
Hope this helped!
A survey report states that 70% of adult women visit their doctors for a physical examination at least once in two years. If 20 adult women are randomly selected, find the probability that: (a) Fewer than 14 of them have had a physical examination in the past two years. (b) At least 17 of them have had a physical exami- nation in the past two years
Answer:
a) 0.3921 = 39.21% probability that fewer than 14 of them have had a physical examination in the past two years.
b) 0.107 = 10.7% probability that at least 17 of them have had a physical examination in the past two years.
Step-by-step explanation:
For each women, there are only two possible outcomes. Either they visit their doctors for a physical examination at least once in two years, or they do not. The probability of a woman visiting their doctor at least once in this period is independent of any other women. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
70% of adult women visit their doctors for a physical examination at least once in two years.
This means that [tex]p = 0.7[/tex]
20 adult women
This means that [tex]n = 20[/tex]
(a) Fewer than 14 of them have had a physical examination in the past two years.
This is:
[tex]P(X < 14) = 1 - P(X \geq 14)[/tex]
In which
[tex]P(X \geq 14) = P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 14) = C_{20,14}.(0.7)^{14}.(0.3)^{6} = 0.1916[/tex]
[tex]P(X = 15) = C_{20,15}.(0.7)^{15}.(0.3)^{5} = 0.1789[/tex]
[tex]P(X = 16) = C_{20,16}.(0.7)^{16}.(0.3)^{4} = 0.1304[/tex]
[tex]P(X = 17) = C_{20,14}.(0.7)^{17}.(0.3)^{3} = 0.0716[/tex]
[tex]P(X = 18) = C_{20,18}.(0.7)^{18}.(0.3)^{2} = 0.0278[/tex]
[tex]P(X = 19) = C_{20,19}.(0.7)^{19}.(0.3)^{1} = 0.0068[/tex]
[tex]P(X = 20) = C_{20,20}.(0.7)^{20}.(0.3)^{0} = 0.0008[/tex]
So
[tex]P(X \geq 14) = P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.1916 + 0.1789 + 0.1304 + 0.0716 + 0.0278 + 0.0068 + 0.0008 = 0.6079[/tex]
[tex]P(X < 14) = 1 - P(X \geq 14) = 1 - 0.6079 = 0.3921[/tex]
0.3921 = 39.21% probability that fewer than 14 of them have had a physical examination in the past two years.
(b) At least 17 of them have had a physical examination in the past two years
[tex]P(X \geq 17) = P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)[/tex]
From the values found in item (a).
[tex]P(X \geq 17) = P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.0716 + 0.0278 + 0.0068 + 0.0008 = 0.107[/tex]
0.107 = 10.7% probability that at least 17 of them have had a physical examination in the past two years.
Anyone know the answer to this question?
Answer:
[tex]c \: is \: correct \\ {( x - 7)}^{2} + {(y + 1) }^{2} = 41[/tex]
PLEASE HELP!!!!!!!!!!
The Expression
12
3+9
is what:
A: Sum
B. quotient
C. difference
Answer:
Sum
Step-by-step explanation:
It needs 2 be 20 characters so dont mind me . . .
wait hol up i took the test again sorry um it quotient
Jackson is interested in the number of memories people can recall. He knows that the number of memories recalled is normally distributed in the general population, with a population mean of 30 and a population standard deviation of 5. What is the probability that Jackson randomly selects a person from this population who recalls between 26 and 29 memories
Answer:
0.2088 = 20.88% probability that Jackson randomly selects a person from this population who recalls between 26 and 29 memories.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Population mean of 30 and a population standard deviation of 5.
This means that [tex]\mu = 30, \sigma = 5[/tex]
What is the probability that Jackson randomly selects a person from this population who recalls between 26 and 29 memories?
This is the pvalue of Z when X = 29 subtracted by the pvalue of Z when X = 26. So
X = 29
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{29 - 30}{5}[/tex]
[tex]Z = -0.2[/tex]
[tex]Z = -0.2[/tex] has a pvalue of 0.4207
X = 26
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{26 - 30}{5}[/tex]
[tex]Z = -0.8[/tex]
[tex]Z = -0.8[/tex] has a pvalue of 0.2119
0.4207 - 0.2119 = 0.2088
0.2088 = 20.88% probability that Jackson randomly selects a person from this population who recalls between 26 and 29 memories.
Which choices are correct when determining the distance between -240 and -35 on a number line?
Answer:
A
Step-by-step explanation:
240-35)=205
240-35
205
Answer:
Step-by-step explanation the first one
(33x3+6x-9)+(-33x3+9x2-10)
Answer:
9x² + 6x -19
Step-by-step explanation:
= 33x³ + 6x - 9 - 33x³ + 9x² -10
= 33x³ - 33x³ + 9x² + 6x -10 -9
= 9x² + 6x -19
Multiply. 42.9 × 3.45
Answer:
42.9 x 3.45 = 148.005 exactly or 148 rounded
Answer:
Hi! The answer to your question is 148.005
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
What are the coordinates(real answers only please I can’t click on links)
Answer:
D (-9,3)
F (-5,-5)
Step-by-step explanation:
(X-1)(-5X+1)=0
lesser X=
Greater X=
Answer:
lesser x is -5x+1
Greater x is x-1
6
A painter sets a ladder
against a wall 9 ft above
the ground. If the ladder is
3 feet from the base of the
wall, how long is the ladder?
Round your answer
to the nearest tenth.
Answer: About 10 ft.
Use Pythagorean's Theorem!
c=[tex]\sqrt{9^2+3^2}[/tex]
9 * 9 = 81
3 * 3 = 9
81 + 9 = 90
[tex]\sqrt{90\\}[/tex] = 3[tex]\sqrt{10}[/tex] ≈ 10 ft.
f(x) = 4.22 + 5x – 3
g(x) = 4x3 – 3x2 + 5
Find (f - g)(x)
Answer:
−4x^3+3x^2+5x−3.78
Step-by-step explanation:
:D
Find the area of the shaded region and choose the appropriate result.
Answer:
B) 12 cm²
Step-by-step explanation:
find area of shaded region, which is 4x4, or 16 cm² then subtract out the area of the unshaded region, which is 2x2, or 4 cm²; you get 12 cm²
5. Alexis has $95. She has 2 more five-dollar bills, 5 more one-dollar bills, and 2 more
ten-dollar bills than Kasai. How much money does Kasai have?
Answer:
60
Step-by-step explanation:
:)) tht should b right
Trigonometry
HELP ASAP !
Answer:
8.9
Step-by-step explanation:
X= Tan( 52 ) · 7
X= 8.959591425
Round to the nearest 10th or 100th
Choices ( below )
X= 8.9596
X= 8.9510
X= 8.96
X= 8.10
X= 9
I Hope this helped
Have a good day
in the triangle shown determine a to the nearest degree
Answer:
43
Step-by-step explanation:
Cos A= 8/11
Cos A= 43.34
A=43.34
-4r + 1 = -2r - 17
a. 9
b. 11
c. -18
d. -16
A photographer is arranging 3 puppies in a row for a photo. There is one black puppy (B), one tan puppy (T), and one white puppy (W). Which list shows all the possible arrangements of the puppies?
Select one:
BTW, BBB, TTT, WWW, BBT, BBW, TTB, TTW, WWB, WWT
BTW, BWT
TWB, TBW, BTW, BWT, WBT, WTB
TWB, BTW, WBT
If you don't answer, I'll report you!
-4x+5>-5 solve the equation is it greater than or less than
Answer:
x>5/2
Step-by-step explanation:
-4x+5>-5
-4x>-10
4x>10
x>10/4
x>5/2
WILL GIVE BRAINLEIST TO WHOEVER SOLVES THIS THANK YOU.
Answer:
5749234
Step-by-step explanation:
Answer:A squre = c square = B square
Step-by-step explanation:
Give me Brainleist plz
Write the equation of a line with a slope of 4 that passes through the point (-3,5) in slope intercept form
What is the equation
Answer:
[tex]y = 4x+17[/tex]
Step-by-step explanation:
1) First, write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form. Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].
[tex]m[/tex] represents the x and y values of one point the line intersects, so substitute 4 in its place. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, so substitute -3 for [tex]x_1[/tex] and 5 for [tex]y_1[/tex]. This gives the following equation in point-slope form:
[tex]y-5 = 4(x+3)[/tex]
2) Now, put it in [tex]y =mx + b[/tex] format, or slope-intercept form by isolating the y:
[tex]y-5 = 4(x+3)\\y-5 = 4x + 12\\y = 4x+17[/tex]
The equation of a line with a slope of 4 that passes through the point (-3,5) in slope intercept form is,y=4x+17.
What is the slope?A numerical assessment of a line's angle relative to the ground is known as the slope.
The inclination of any line, ray, or line segment is the fraction of the perpendicular to the horizontal distance between any two positions on it.
The line's equation in point-slope form is;
y = mx+c
We may then transform it to a slope-intercept form. Substitute values in the point-slope formula as;
y-y₁=m(x-x₁)
y-5=4(x-(-3)
y-5=4(x+3)
y--5=4x+12
y-4x+17
Hence,the equation of a line with a slope of 4 that passes through the point (-3,5) in slope intercept form is,y=4x+17.
To learn more about the slope refer to the link;
https://brainly.com/question/3605446
#SPJ2
A round balloon has a diameter of 7 inches
Which of the following is closest to the number of
cubic inches of air can it hold?
A) 181 in
B) 189 in
C) 196 in
D) 208 in
E) 210 in
None of the above
+3
Answer:
The right answer is approximately 210.031 cubic inches. (Answer: E)
Step-by-step explanation:
First, we need to convert the diameter ([tex]D[/tex]), in inches, of the round balloon to an entirely decimal mode:
[tex]D = 7\,in + \frac{3}{8}\,in[/tex]
[tex]D = \frac{56 + 3}{8}\,in[/tex]
[tex]D = \frac{59}{8}\,in[/tex]
[tex]D \approx 7.375\,in[/tex]
The volume of the balloon is modelled after the volume function of a sphere ([tex]V[/tex]), in cubic inches:
[tex]V = \frac{\pi}{6}\cdot D^{3}[/tex] (1)
If we know that [tex]D \approx 7.375\,in[/tex], then the volume of the round balloon is:
[tex]V = \frac{\pi}{6}\cdot D^{3}[/tex]
[tex]V = \frac{\pi}{6} \cdot (7.375\,in)^{3}[/tex]
[tex]V \approx 210.031\,in^{3}[/tex]
Hence, the right answer is approximately 210.031 cubic inches.
Please help im running out of time:(
One train is traveling 120 m with a velocity of 52 km/h and a
second train is traveling in the opposite direction with a
velocity of 20 km/h. How long will it take for them to
completely pass one another?
Answer: It took the train 11 s to completely pass the other.
11 seconds it takes for them to completely pass one another if one train is travelling 120 m with a velocity of 52 km/h.
What is distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
We have:
One train is travelling 120 m with a velocity of 52 km/h.
A second train is travelling in the opposite direction with a velocity of 20 km/h.
Here, the length of the second train is not given:
We are assuming the length is 100 m
Relative velocity = 52+20 = 72 km/h = 20 meter/seconds
Total distance: = 120 + 100 = 220 m
The time = 220/20 = 11 seconds
Thus, 11 seconds it takes for them to completely pass one another if one train is travelling 120 m with a velocity of 52 km/h.
Learn more about the distance here:
brainly.com/question/26711747
#SPJ2
Which function represents a quantity growing exponentially?
A y = 2(0.5)^x
B y = 0.5(2)^x
C y = 2(0.5)^2X
D y = (1/5)^x
Answer: [tex]ay=2(0.5^{x})[/tex]
Step-by-step explanation:
A y = 2(0.5)^x
Calculate the standard deviation of X for the probability distribution. (Round your answer to two decimal places.)
x 0 1 2 3
P(X = x) 0.1 0.5 0.1 0.3
Answer:
The standard deviation of the probability distribution is 1.02.
Step-by-step explanation:
Standard deviation of the distribution:
Square root of the sum of the difference squared between each value and the mean multiplied by its probability.
Mean:
Each value multiplied by its probability. So
[tex]E(X) = 0*0.1 +1*0.5 + 2*0.1 + 3*0.3 = 1.6[/tex]
Standard deviation:
[tex]\sqrt{V(X)} = \sqrt{0.1*(0-1.6)^2 + 0.5*(1-1.6)^2 + 0.1*(2-1.6)^2 + 0.3*(3-1.6)^2} = 1.02[/tex]
The standard deviation of the probability distribution is 1.02.
I have no idea what this question means but if anyone understands it or has an answer much help is apreciated! :)
Here, we have to factorise :
- 12n - 20Consider the largest number which is the factor of both -12 and -20, that is -4.
→ -4 × 3n = -12n
→ -4 × 5 = -20
Taking (-4) as common,
→ -4( 3n + 5 )
Option B is correct. [tex] \checkmark [/tex]ANSWER THE QUESTION FOR BRAINLIEST
Fort his problem what is the correct answer?
Answer:
its b have a nice day
Step-by-step explanation:
Answer:
I think its D.
Step-by-step explanation:
Which of the following choices shows the proper use of the distributive property?
оооо
-2(6x - y) = -12x + 2y
-2(6x - y) = 12x + 2y
-2(6x - y) = 12x - 2y
-2(6x - y) = -12x - 2y
What’s the answer
Answer:
[tex]-2(6x - y) = -12x +2y[/tex]
Step-by-step explanation:
Required
Which shows distributive property
Distributive property states that:
[tex]a(b + c) = a * b + a * c[/tex]
So, the solution to -2(6x - y) is:
[tex]-2(6x - y)[/tex]
Open bracket
[tex]-2(6x - y) = -2 * 6x -2 *-y[/tex]
[tex]-2(6x - y) = -12x +2y[/tex]
(a) is true
(Will dive brainly!! please!!)
The Steven's family owns a house worth $280,000, of which they still owe $113,545 on the mortgage. They also own two cars, one worth $5,200 and the other worth $15,600. They still owe $9,200 on one of the car loans. They have $2,300 in credit card debt and owe $18,200 for their daughter's wedding. What is their net worth?
A) $157,555
B) $162,155
C) $300,800
D) $143,245
9514 1404 393
Answer:
A) $157,555
Step-by-step explanation:
The sum of assets is ...
house + 2 cars = $280,000 +5,200 +15,600 = $300,800
The sum of liabilities is ...
mortgage +car loan +credit card +wedding
= $113,545 +9,200 +2,300 +18,200 = $143,245
The family's net worth is the difference between assets and liabilities:
$300,800 -143,245 = $157,555
8th Algebra
Which of the following correlations would be an example of causation?
Question 1 options:
A. a positive correlation between the number of prisons in an area and the number of hospitals in that area
B. a positive correlation between the number of hours spent studying and the grade earned on a test
C. a negative correlation between the number of cell phones sold per year and the number of people born per year
D. a negative correlation between the amount of ice cream sales and the number of crimes committed in a city
