In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use by the household. (No two respondents were from the same household.) Among the respondents, answered "none," said "one," said "two," said "three," and responded with four or more. A survey respondent is selected at random. Find the probability that his/her household has four or more cell phones in use. Is it unlikely for a household to have four or more cell phones in use? Consider an event to be unlikely if its probability is less than or equal to 0.05.
P(four or more cell phones)
(Round to three decimal places as needed.)
In July 2005, the internet was linked by a global network of about 353 million host computers. The number of host computers has been growing approximately exponentially and was about 37.1 million in July 1998. (a) Find a formula for the number, N, of internet host computers (in millions of computers) as an exponential function of t, the number of years since July 1998, using the continuous exponential model N ( t )
Answer:
[tex]N(t) = 37.1(1.38)^t[/tex]
Step-by-step explanation:
Exponential function:
An exponential function has the following format:
[tex]N(t) = N(0)(1+r)^t[/tex]
In which N(0) is the initial value and r is the rate of change, as a decimal.
37.1 million in July 1998
This means that [tex]N(0) = 37.1[/tex]
So
[tex]N(t) = 37.1(1+r)^t[/tex]
In July 2005, the internet was linked by a global network of about 353 million host computers.
This is 2005 - 1998 = 7 years, so [tex]N(7) = 353[/tex]. We use this to find r.
[tex]N(t) = 37.1(1+r)^t[/tex]
[tex]353 = 37.1(1+r)^7[/tex]
[tex](1+r)^7 = \frac{353}{37.1}[/tex]
[tex]\sqrt[7]{(1+r)^7} = \sqrt[7]{\frac{353}{37.1}}[/tex]
[tex]1 + r = (\frac{353}{37.1})^{\frac{1}{7}}[/tex]
[tex]1 + r = 1.38[/tex]
The formula is:
[tex]N(t) = 37.1(1.38)^t[/tex]
Write an equation for a term value of 14. Solve your equation.
Answer:
[tex]x {}^{2} - 2x - 1 = 14 \: where \: x = 5[/tex]
someone help me!! i’ll mark brain list!!
please help me if you can!
Answer:
A is 55°
Step-by-step explanation:
To solve this, you need to remember that the sum of the angles inside a triangle is equal to 180 degrees.
Also, noting that this is an isosceles triangle. That means that a and b are equal. With that in mind, we can simply say:
a + b + c = 180
a ≡ b ∴ 2b + c = 180
2(4x + 31)° + (2x + 58)° = 180°
8x° + 62° + 2x° + 58° = 180°
Let's just stop right here, and note that normally you can treat symbols of measurements just like variables. We've done the same here, applying the distributive property with the ° symbol. Note though that it's currently part of every single term, so I'm going to factor it out:
(8x° + 62° + 2x° + 58°) / 1° = 180° / 1°
8x + 62 + 2x + 58 = 180
10x + 120 = 180
10x = 60
x = 6
Again noting that A and B are identical due to this being an Isosceles triangle, we can say:
A = (4x + 31)°
A = 24° + 31°
A = 55°
We can also check our answer. The sum of the angles should be 180, and two of those angles should be 55. That means that angle C should be 180 - 2 * 55, or 180 - 110 = 70. Let's test it:
70 = 2x + 58
70 = 12 + 58
70 = 70
So we know that our answer is correct.
What’s the value of F ?
F= ??
Answer: 30 i took a test with that question
Step-by-step explanation:
sujxjcidskmdowqpmwnsjxoskwajwiskskqkncbeHELP PLEASE. ANAKSMS
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Answer:
180 degrees
Step-by-step explanation:
the triangle sum theorem states that all angles of a triangle must add up to 180 degrees. this means the answer has to be 180 degrees
please i need help it’s urgent
Answer:
4.5
Step-by-step explanation:
6x + 42 = 18x - 12 (alternate angles)
or, 18x - 6x = 42+12
or, 12x = 54
or, x = 54/12
x= 4.5
Find the midpoint M of the line segment joining the points S = (1, -2) and T = (-7,-6).
Answer:
(-3 ,-4)
I have made it in above picture
hope it helps
Cayle the cat 3.1.4 Suppose I am conducting a test of significance where the null hypothesis is my cat Cayle will pick the correct cancer specimen 25% of the time and the alternative hypothesis is that she will pick the cancer specimen at a rate different than 25%. I end up with a p-value of 0.002. I also construct 95% and 99% confidence intervals from my data. What will be true about my confidence intervals
Answer: hello the options related to your question is missing attached below are the missing options
answer : Neither the 95% nor the 99% intervals will contain 0.25 ( B )
Step-by-step explanation:
Given that ;
H0 : = 0.25
Ha : ≠ 0.25
p-value = 0.002
also 95% and 99% confidence intervals are constructed
p value = 0.002 i.e. < 0.01 ∝ < 0.05 ∝
This means that we reject null hypothesis in both cases when (∝ =0.05 and ∝ = 0.01 )
Hence The true statement about my confidence intervals is :
Neither the 95% nor the 99% intervals will contain 0.25
Marks of 12 students in a unit test are given as 4, 21, 13, 17, 5, 9, 10, 20, 19, 12, 20, 14. Assume a mean and calculate the arithmetic mean of the data. Assume another number as mean and calculate the arithmetic mean again. Do you get the same result? Comment
hope this helps you...
.....
Step-by-step explanation:
observations = 4, 21, 13, 17, 5, 9, 10, 20, 19, 12, 20, 14mean = sum of observations ÷ numbers of observations...........................................sum of observation = 4+21+13+17+5+9+10+20+19+12+20+14= 164numbers of observation = 12mean = 164 ÷ 12 = 13.67A pink-and-green spinner landed on pink 14 times and on green 56 times. Based on experimental probability, how many of the next 65 spins would you expect to land on pink?
=========================================================
Explanation:
Based on the results so far, the experimental or empirical probability of landing on pink is 14/(14+56) = 14/70 = 1/5.
You simply divide the number of pink (14) over the number total (14+56=70) to arrive at that fraction. After reducing, we get 1/5 meaning that 1 out of every 5 spins we arrived on a pink space.
If this pattern holds up, then we expect (1/5)*65 = 13 additional occurrences of pink on the next 65 spins.
Note how 13/65 = 1/5.
Plz help me thanks. :) mm
Answer:
A. 72×9=1/8
Step-by-step explanation:
the other two are decimals so it is A
Hope this helps!!
If the scale factor of Figure A to Figure B is 7:2 find the perimeter of Figure A.
The diameter of a circle is 1.4 centimeters. Find its area. Use 3.14 Round to the nearest
hundredth
Answer:
Area = 1.54
Step-by-step explanation:
Area = π[tex]r^{2}[/tex]
π = 3.14
diameter = 1.4
radius (half of diameter) = 0.7
Area = 3.14 x [tex]0.7^{2}[/tex]
Area = 3.14 x 0.49
Area = 1.5386
round to the nearest hundredth:
1.5386 = 1.54
To which character in Seedfolks does Paul Fleischman assign the most personal perspective on gardening?
Kim
Wendell
Ana
Gonzalo
The character in Seedfolks to whom Paul Fleischman assigned the most personal perspective on gardening is:
KimWhat was the plot of the story?The plot reveals a formerly lonely setting that would be gradually turned into a bubbling garden by the characters.
Kim, a nine-year-old Vietnamese girl was assigned the most personal perspective because she planted her Lima beans in the garden to strike a connection with her late father who she did not know on a personal basis.
Learn more about the plot of a story here:
https://brainly.com/question/1909141
#SPJ1
Answer:
a edge 2023
Step-by-step explanation:
O Fabiola's special seasoning mix has three ingredients. The recipe uses 5 parts
thyme, 3 parts parsley, and 1 part green onion. If she is making 45 tbsp of the
mix, how many tbsp of parsley does she need?
Answer:
i think that will be 27 because thats 3/5 of the total
Step-by-step explanation:
tell me if i got it right or wrong no hate
Sine divided by Cosine is equal to Tangent. True or false?
Answer:
True
Step-by-step explanation:
A car is traveling at a constant speed of 60 miles per hour. How many feet does it travel in 10 seconds? Remember that 1 mile is 5280 feet.
Answer:
The answer is 198 feet.
Step-by-step explanation:
You convert 45 miles/ hour to feet/ hour:
45 × 5,280 = 237,600 feet/ hour
Now you remember that there are 60 minutes in an hour, and 60 seconds in a minute. We divide 237,600 feet per hour by 60 to get feet/ minute:
237,600 ÷ 60 = 3,960 feet per minute
You just have to divide 3,960 by 60 to get back to feet/ second:
3,960 ÷ 60 = 66 feet per second
Now you know how fast the car can travel (in feet) in a second. Now to find out how many feet it travels in 3 seconds, you just multiply 66 by 3:
66 × 3 = 198 feet which is the final answer.
Answer: 880
Step-by-step explanation: We use unit rates to convert miles per hour to feet per second
60 miles/ hour × 5280 feet/mile × 1 hour/ 60 minutes × 1 minute/ 60 seconds = 88 seconds
So the distance in 10 seconds is 10×88 = 880
The Smith family has $1500 set aside for upgrades in their kitchen. The contractor charges
a $225 materials fee plus $75 per hour. Write and solve an inequality to find the possible
numbers of hours that they can use the contractor.
Answer:
$225 + $75x ≤ $1500
x ≤ 17
Step-by-step explanation:
The Smith family has $1500 spending limit and no more.
The initial fee is $225 in labor so we must deduct that from the current total of money left to spend.
$1500 - $225 = $1275
Then we can simply divide the amount leftover with the hours the contractor works.
$1275 ÷ $75 = 17
The inequality is $225 + $75x (x being the amount of hours the contractor works) ≤ (equal to or less than simple identifying that $1500 can be spent but no more than that.) $1500
Show your work: x - 2 = -8
what is -6.77626358E-21 written in scientific notion with three significant digits
Answer:
-6.78 x 10^-21
Step-by-step explanation:
-6.77626358E-21
= -6.78 x 10^-21
The radius is 3 units
Find the arithmetic mean of the sales per day in a fair price shop in a week.
Rs 10000, Rs 10250, Rs 10790, Rs 9865, Rs 15350, Rs 10110.
Answer:
11060.83
Step-by-step explanation:
Sum = 10000 + 10250 + 10790 + 9865 + 15350 + 10110
= 66365
No. of days (N) = 6
Arithmetic mean = Sum/ N
= 66365/6
= 11060.83
Step-by-step explanation:
sum =Rs 10000+ Rs 10250+ Rs 10790+Rs 9865+ Rs 15350+Rs 10110.=rs66365
n=6
mean=sum/n=rs66365/6=11060.833
you randomly choose a marble from a jar. jar contains 4 red marbles, 10 blue marbles , 7 green marbles, and 6 yellow marbles.find the probability of the event
1) choosing a green marble
2) not choosing a blue marble
3) choosing a yellow marble
Answer:
27 total marbles.
1. 7/27
2. 17/27
3.6/27
16-(-10) need help plz
Help pls because I really need help
Answer:
answer is third,hope i helped u
Consider triangles CBD and BDE and answer the questions that follows
2.1 Which side is common in both triangles?
2.2 What can be concluded about the heights of A CBD
and A BDE? Give a reason for your answer.
2.31 Using your answers from 2.1 und 2.2 above complete
the following statements:
2.3.1 Area of A CBD
2.3.2 Area of ABDE
2.4 What can be concluded about the area of A CBD and
ABDE?
Answer:
Step-by-step explanation:
∠ABD ≅ ∠BDE..... (given).... (1)
m∠ABD + m∠CBD = 180°... (straight line ∠'s)... (2)
From equations (1) & (2)
m∠BDE + m∠CBD = 180°....(3)
m∠BDE + m∠CDB = 180°... (straight line ∠'s)... (4)
From equations (3) & (4)
m∠BDE + m∠CBD = m∠BDE + m∠CDB
m∠CBD ≅ m∠CDB.. (Proved)
28.
Car A and car B are 120 km apart. If they move towards each other, they will meet in 1 hour. If they
move in the same direction, car A will catch up with car B in 5 hours. Find the speed of car A and
the speed of car B. (Assume that the speeds of the cars are constant.)
Need help question #1. Show steps please
Answer:
C
Step-by-step explanation:
We want to integrate:
[tex]\displaystyle \int\frac{4x^4+3}{4x^5+15x+2}\,dx[/tex]
Notice that the expression in the denominator is quite similar to the expression in the numerator. So, we can try performing u-substitution. Let u be the function in the denominator. So:
[tex]u=4x^5+15x+2[/tex]
By differentiating both sides with respect to x:
[tex]\displaystyle \frac{du}{dx}=20x^4+15[/tex]
We can "multiply" both sides by dx:
[tex]du=20x^4+15\,dx[/tex]
And divide both sides by 5:
[tex]\displaystyle \frac{1}{5}\, du=4x^4+3\,dx[/tex]
Rewriting our original integral yields:
[tex]\displaystyle \int \frac{1}{4x^5+15x+2}(4x^4+3\, dx)[/tex]
Substitute:
[tex]\displaystyle =\int \frac{1}{u}\Big(\frac{1}{5} \, du\Big)[/tex]
Simplify:
[tex]\displaystyle =\frac{1}{5}\int \frac{1}{u}\, du[/tex]
This is a common integral:
[tex]\displaystyle =\frac{1}{5}\ln|u|[/tex]
Back-substitute. Of course, we need the constant of integration:
[tex]\displaystyle =\frac{1}{5}\ln|4x^5+15x+2|+C[/tex]
Our answer is C.