Solution :
a). According to the reports, 53.0% of the American households still have a landline phone service. Out of which 8 households are randomly called.
Here, the landline phone service is p = 53.0%
n = 8
Therefore, q = 1 - p
= 1 - 0.53
= 0.47
here we use the binomial distance because the probability of having the landline phone service is constant and the number of the trial are finite.
b). Let x be the number of household in the sample group having landline phone service.
Probability that none of the household in the sample group have a landline service is
= P( x = 0)
[tex]$=^8C_0 (0.53)^0(0.47)^8$[/tex]
= 0.002 (using the binomial calculation )
c). Probability that exactly 5 of the household in the sample have a landline service is given by :
P(x = 5)
[tex]$=^8C_5 (0.53)^5(0.47)^3$[/tex]
= 0.24
Solve ASAP. Giving 28 points.
Answer:
where is the question
Step-by-step explanation:
Answer:
what's the question I can't see it
Find the distance from the point (0, 3) to the line y = 3x – 9. Round your answer to the nearest tenth.
The distance is about
units.
Answer:
4
Step-by-step explanation:
This is a vague question so I understand why you reached out for help. Please not that my answer is not correct in case the problem is subliminally asking for the shortest distance, but there is no indication of that on the question prompt.
The graph is not drawn to scale.
The distance between the line and the point is 4 units.
What is Distance formula?The formula to find the distance between the two points is usually given by d=√((c-a)² + (d-b)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.
Given: line: y= 3x-9
put y= 3
3 = 3x-9
12 = 3x
x= 4
and, the other point is (0, 3).
Now, the distance between theses points
D= √(4-0)² + (3 -)²
D= √4²
D= √16
D= 4 units
Hence, the distance is 4 units.
Learn more about Distance formula here:
https://brainly.com/question/1872885
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Which expression simplifies to 8x^5?
Answer:
32768x^5
Step-by-step explanation:
[tex] {8x}^{5} [/tex]
...
What is the slope of the line that passes through the points (4, 7) and (5,8)?
Write your answer in simplest form.
Answer:
1
Step-by-step explanation:
Use the coordinates of the points to determine the slope
slope = Δy/Δx = (8-7)/(5-4) = 1
aight anyone plz help lol
Answer:
okkokokokokokoookkijoiig
What is the x and y value in -3x + y = 4 and -9x + 5y =-1
Answer:
y=291
Step-by-step explanation:
I did the math got 291.
Answer:
-9x + 5y =-1
x-intercept: ( 1 9 , 0 )
y-intercept: ( 0 , − 1 5 )
-3x + y = 4
x-intercept: ( − 4 3 , 0 )
y-intercept: ( 0 , 4 )
Graph and find the area of the figure with the vertices (-3, 0), (1,4), (2, 0)
Answer:
10
Step-by-step explanation:
Jane drove 864 miles in 12 hours.
At the same rate, how many miles would she drive in 9 hours?
Answer:
648 miles
Step-by-step explanation:
864/12=72
72 x 9= 648
plz mark brainliest :)
have a great day!!!
Answer:648
Step-by-step explanation:
FIND THE MEASURE OF ANGLE 2 PLEASE HELP ASAP!
Answer:
We know that the figure has a symmetry
angle 1 = angle 2
angle 1 =180°-(18°+90°) = 180° - 108°=72°
Therefore, angle 2 =72°.
2 divided by negative 1/5
Answer: 10
you have to find a common denominator between two and five which is 10. therefore making the number 2 into the fraction 20/10 and finding the common denominator of 1/5 makes it now 2/10. now divide 20 by 2 which gets you 10. and dividing 10 by 10 gets you. therefore making the new fraction 10/1 which is equal to 10. :)
Help ASAP due in 1 min
Answer:
C.) 2/3
Step-by-step explanation:
The line is divided into three sections, and we know the three sections combined equate to 1.
That means that each section is 1/3. The dot is placed on the second section.
That's how you know the fraction represented on the number line is 2/3.
Answer:
1/3 i think
Step-by-step explanation:
ok so this is fraction what is 5/6 x 3/4
Answer:
5/8
Step-by-step explanation:
witch equation represents a linear function
HELP PLEASE ASAP!!!!!
Answer:
1 1/2 cups of flour :))
Step-by-step explanation:
Answer:
2 5/8 cups ur welcome
you convert 1 3/4 to improper fraction so 7/4. then divide 7/4 by 2 which is 0.875. 0.875+7/4= 2.625 which is 2 2/3.
math Finding the root (30points!!!!!)
Answer:
p = [tex]\frac{12}{7}[/tex]
Step-by-step explanation:
let the root be α then the other root is 3α
The sum of the roots of a quadratic equation is
α + 3α = - [tex]\frac{b}{a}[/tex] = - [tex]\frac{-8}{7}[/tex] = [tex]\frac{8}{7}[/tex]
Thus 4α = [tex]\frac{8}{7}[/tex] ( divide both sides by 4 )
α = [tex]\frac{2}{7}[/tex]
The product of the roots of a quadratic equation are
α × 3α = [tex]\frac{c}{a}[/tex] = [tex]\frac{p}{7}[/tex], that is
3α² = [tex]\frac{p}{7}[/tex] ← substitute value of α
3 × ([tex]\frac{2}{7}[/tex] )² = [tex]\frac{p}{7}[/tex]
3 × [tex]\frac{4}{49}[/tex] = [tex]\frac{p}{7}[/tex]
[tex]\frac{12}{49}[/tex] = [tex]\frac{p}{7}[/tex] ( cross- multiply )
49p = 84 ( divide both sides by 49 )
p = [tex]\frac{84}{49}[/tex] = [tex]\frac{12}{7}[/tex]
9. Ricardo rides his bike between 90 and 120 miles over a 5 day period. Which is a
reasonable number of miles Ricardo rides each day?
a 13
b. 17
C. 22
d. 25
given each pair of similar triangles find the missing value. of LJK=PQR find x
Answer:
1
Step-by-step explanation:
The dimensions of a cylindrical water tank are shown below.
18 yd
o
58,320 yd
3,240 yd
60 yd
O
19,440 yd
15,270 yd3
Which of the following is the best estimate of the volume of
this water tank?
Only valid answers get points, first correct answer gets brainliest
3n - 12 = 5n - 2
how many solutions?
Please help asap
The sales tax rate is 10%. If Carla buys a handbag priced at $90, how much tax will she
pay?
Answer: $9
Step-by-step explanation:
10 percent of 9 or 90 broken into 10 parts is 9 also 90 divided by 10 is 9
Identify the terms. Then identify the coefficients of the variable terms of the expression. (Enter your answers as a comma-separated list.)
5√3x^2+4
Answer:
The set of coefficients asociated with the given polynomial in ascending order is [tex][C] = \{4,0,5\sqrt{3}\}[/tex].
Step-by-step explanation:
Let [tex]y = 5\sqrt{3}\cdot x^{2}+4[/tex], which is a polynomic function, defined as:
[tex]y = \Sigma_{i=0}^{n}c_{i}\cdot x^{i}[/tex] (1)
Where:
[tex]c_{i}[/tex] - i-th Coefficient.
[tex]x^{i}[/tex] - i-th Power.
[tex]n[/tex] - Grade of the polynomial.
We notice that given polynomial has degree 2 and can be rewritten by applying this definition:
[tex]y = 4 + 0\cdot x + 5\sqrt{3}\cdot x^{2}[/tex]
Then, the set of coefficients asociated with the given polynomial in ascending order is:
[tex][C] = \{4,0,5\sqrt{3}\}[/tex]
benjamin believes that 1/2% is equivalent to 50%. Is he correct? Why or why not?
Answer:
yes because 1 divided by 2 is 0.5 which can be converted to 50%
A species of animal is discovered on an island. Suppose that the population size P(t) of the species can be modeled by the following function, where time t is measured in years.
P(t) =800/1+ 3e^-0.29t.
Find the initial population size of the species and the population size after 10 years. Round your answers to the nearest whole number as necessary.
Answer:
The initial population is 200
The population after 10 years is 687
Step-by-step explanation:
Given
[tex]P(t) =\frac{800}{1+ 3e^{-0.29t.}}[/tex]
Solving (a): The initial population
Here:
[tex]t = 0[/tex]
Substitute 0 for t in P(t)
[tex]P(0) =\frac{800}{1+ 3e^{-0.29*0}}[/tex]
[tex]P(0) =\frac{800}{1+ 3e^{0}}[/tex]
[tex]P(0) =\frac{800}{1+ 3*1}[/tex]
[tex]P(0) =\frac{800}{1+ 3}[/tex]
[tex]P(0) =\frac{800}{4}[/tex]
[tex]P(0) =200[/tex]
The initial population is 200
Solving (b): Population after 10 years.
Here
[tex]t = 10[/tex]
Substitute 10 for t in P(t)
[tex]P(10) =\frac{800}{1+ 3e^{-0.29*10}}[/tex]
[tex]P(10) =\frac{800}{1+ 3e^{-2.9}}[/tex]
[tex]P(10) =\frac{800}{1+ 3*0.055}[/tex]
[tex]P(10) =\frac{800}{1+ 0.165}[/tex]
[tex]P(10) =\frac{800}{1.165}[/tex]
[tex]P(10) =687[/tex] -- approximated.
The population after 10 years is 687
An Olympic diver is competing for a metal. His height in meters above the water can be modeled by the function
f (x)= -4.9x^2+9.8x+14.7f(x)=−4.9x +9.8x+14.7
where is is the time in seconds after he begins the dive.
After how many seconds does he reach the water?
What domain makes sense for this scenario?
Answer:
-4.9x²+75x=-4.9x+50x+38
75x=50x+38
25x=38
x=1.52
1.52 -4.9(1.52)²+75(1.52)=102.67904≈102.7 meters
Double check: -4.9(1.52)²+50(1.52)+38=102.67904≈102.7. Yes.
102.7 meter.
Step-by-step explanation:
Find three consecutive odd integers such that the sum of the smallest and twice the second is 14 more than the third.
Show your work
Ans 7, 9, 11
Step-by-step explanation:
Think of it as an equation. You have 3 integers x, y, and z.
x + 2y = z + 14.
Plug in consecutive odd integers, picking your next set of trial and error integers based on how far off the equation is.
In this case, 7 + (2 * 9) = 11 + 14
In this example, it took me three attempts to get the correct answer.
Help please. How to calculate it? That is the answer of last one ?
Answer:
60
Step-by-step explanation:
Shoes= 10
Human= 5
Cone= 4
10+5= 15 x 4= 60
If one line has a slope of -5/4 what would the slope of a line
parallel to that line?
Answer:
[tex]-\frac{5}{4}[/tex]
Step-by-step explanation:
Parallel lines always have equal slopes. Therefore any parallel line to a given line will share the same slope.
Answer:
-5/4
Step-by-step explanation:
Parallel lines have the same slope but a different y intercepts, because if you think about parellel lines, they'll never intersect-- if two lines have the same slope, that means they won't be able to intersect. However, if they have the same slope, they would be coinciding (the same). That's why the y intercepts are different.
Since the slope of the first line is -5/4, the slope for the line parallel to it would also be -5/4
hope this helps!
Find the midpoint of the segment with the following end points (10,5) and (6,9)
Answer:
The mid-point between the endpoints (10,5) and (6,9) is:
[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]Step-by-step explanation:
Let (x, y) be the mid-point
Given the points
(10,5)(6,9)Using the formula to find the mid-point between the endpoints (10,5) and (6,9)
[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
Here:
[tex]\left(x_1,\:y_1\right)=\left(10,\:5\right),\:\left(x_2,\:y_2\right)=\left(6,\:9\right)[/tex]
Thus,
[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x,\:y\right)=\left(\frac{6+10}{2},\:\frac{9+5}{2}\right)[/tex]
[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]
Therefore, the mid-point between the endpoints (10,5) and (6,9) is:
[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]Walmart has soft drinks on sale: 4 packs for $20 Kroger has soft drinks on sale : 3 packs for $18 Which store has the better deal? why?
Answer:
Walmart has the better deal.
Step-by-step explanation:
If you divide the amount of money and the packs they sell, Walmart is cheaper.
Walmart: 20/4 = 5
Kroger: 18/3 = 6
Answer:
It is Walmart 4 packs for 20$
Step-by-step explanation:
Melissa runs a mile in 8 minutes 30 seconds. At this rate, how many full miles will she run in 45
minutes?
Answer:
Time measure: 8 miles = 30 seconds We are given 45 minutes × 60 seconds /30= 90 miles