Lily uses the function f(x)+ 23,000(1.021) X( power) to model the future annual population growth of the city where she lives, Which of the following respresents Lily's estimate population in 8 years
a 3,395
b 23,483
c 27,160
d 187,864
Answer: The answer is B, 23,483
Step-by-step explanation:
If you multiply 23,000 times 1.021 you get 23,483. Your welcome
The Lily's estimate population in 8 years is 187864.
It is required to find the population in 8 years.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
The function f(x)= 23,000(1.021) X( power) to model the future annual population growth of the city.
According to given question we have,
To put x= 8 years
Lily's estimate population in 8 years are
f(x)= 23,000*(1.021) *8
f(x)= 187864
Therefore, the Lily's estimate population in 8 years is 187864.
Learn more about arithmetic here:
brainly.com/question/18607048
#SPJ6
What is 4/7 plus 5/28 in simplest form I am not sure
Answer:
3/4
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
To add fractions, they must have common denominators
convert them to common denominators
4/7 × 4/4 = 16/28
now their denominators are the same
16/28 + 5/28
add the numerators
16 + 5 = 21
21/28
Both the numerator and the denominator can be divided by 7
3/4 is the simplest form
The distribution of IQ scores for students at a large university are known to be approximately normally distributed with σ = 15. One student claims that the mean IQ for all students at the university is 100. A. Assuming that the student’s claim is true (that µ = 100), what is the probability of obtaining a simple random sample of 20 students whose mean IQ score is greater than 108. B. Suppose that you actually did collect a simple random sample of 20 students and found their mean IQ score was greater than 108. Would this give you good evidence to suggest that the mean IQ for all students at the school is greater than 100? Explain.
Answer:
A
The probability of obtaining a simple random sample of 20 students whose mean IQ score is greater than 108 is
[tex]P(\= X > 108) = 0.0084242[/tex]
B
Comparing the p-value obtained with a low level of significance (say ∝= 0.01 ) we see that the p-value is less than ∝ which implies that the null hypothesis is rejected hence we can state that there is sufficient evidence to conclude that the mean IQ for all students at the school is greater than 100
Step-by-step explanation:
From the question we are told that
The standard deviation is [tex]\sigma = 15[/tex]
The population mean is [tex]\mu = 100[/tex]
The sample size n = 20
Generally the standard deviation of the sample mean (standard error ) is mathematically represented as
[tex]\sigma_{\= x} = \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]\sigma_{\= x} = \frac{15 }{\sqrt{20} }[/tex]
=> [tex]\sigma_{\= x} = 3.35[/tex]
Generally the probability of obtaining a simple random sample of 20 students whose mean IQ score is greater than 108 is mathematically represented as
[tex]P(\= X > 108) = P(\frac{\=X - \mu}{\sigma_{\= x} } > \frac{108 - 100}{3.35} )[/tex]
=> [tex]P(\= X > 108) = P(Z > \frac{108 - 100}{3.35} )[/tex]
=> [tex]P(\= X > 108) = P(Z > \frac{108 - 100}{3.35} )[/tex]
=> [tex]P(\= X > 108) = P(Z >2.39 )[/tex]
From the z-table
[tex]P(z > 2.39) = 0.0084242[/tex]
So
[tex]P(\= X > 108) = 0.0084242[/tex]
The null hypothesis is [tex]H_o : \mu = 100[/tex]
The alternative hypothesis is [tex]H_a : \mu > 100[/tex]
The sample mean is [tex]\= x = 108[/tex]
Generally the test statistics is = 2.39
Generally the p-value is equal to 0.0084242
Now comparing the p-value with a low level of significance (say ∝= 0.01 ) we see that the p-value is less than ∝ which implies that the null hypothesis is rejected and we can conclude that there is sufficient evidence to conclude that the mean IQ for all students at the school is greater than 100
Let P be a point not on line k Let p be the image of P after a reflection about the line K and let A any point on line k. Determine whether each statement below is true for all points P true for some points P or not true for any points P
Answer: true false some true
Step-by-step explanation:
Refer to the table on the previous slide to help answer
the questions.
What is the proportional relationship represented by the
table
Answer:
It has a steady line the entire way
Step-by-step explanation:
Question 19 (5 points)
1199
100"
12
88
15
116"
18
Determine the value of x.
OA) 59°
B) 63°
OC) 90°
OD 117°
Answer:
The value of x is 63° ⇒ B
Step-by-step explanation:
The rule for finding the sum of the interior angles of a polygon with n sides is S = (n - 2) × 180°
In the given figure
There is a polygon with 5 sides
∵ n = 5
∴ S = (5 - 2) × 180°
∴ S = 3 × 180°
∴ S = 540°
→ We have the measure of 4 angles of them
∵ The sum of the 4 given angles = 119° + 100° + 88° + 116°
∴ The sum of the 4 given angles = 423°
→ To find the 5th angle subtract 423° from 540°
∵ The measure of the fifth angle = 540° - 423°
∴ The measure of the fifth angle = 117°
→ x and 117° are linear pair angles, then their sum is 180°
∵ x + 117° = 180° ⇒ linear pair angles
→ Subtract 117 from both sides to find x
∴ x + 117 - 117 = 180 - 117
∴ x = 63°
Multiply using cancellation:
2/50 x 5/18 =
3/4 x 4/9 =
7/8 x 2/5 =
HELP PLEASE!!!!!!
Answer:
This is how you simplify them
Step-by-step explanation:
1) 1/90
2) 1/2
3) 7/20
Exploring the Columbian Exchange
What do we know about the discovery of the New
World? List as many facts as you can
Answer:
Christopher Columbus introduced horses, sugar plants, and disease to the New World, while facilitating the introduction of New World commodities like sugar, tobacco, chocolate, and potatoes to the Old World. The process by which commodities, people, and diseases crossed the Atlantic is known as the Columbian Exchange.
Rick has a magnet shaped like a right rectangular prism which is 8 cm long, 4 cm wide, and 2 cm high. What is the volume in cubic cm?
Answer:
the answer is 64 because you need to multiply all of them together to get the cubic volume. first you multiply 8 x 4 and that leaves you with 32. 32 x 2 is 64 and there are no numbers left to that means 64 is the cubic volume.
In the early part of this century, the drug company, Merck, produced a powerful non- steroidal anti-inflammatory drug (NSAID) known as Vioxx. Vioxx was very effective in reducing pain due to arthritis and, unlike some NSAIDs, did not cause digestive system or liver problems. However, a couple of years after Vioxx was introduced to the market, some independent studies showed a possible connection between NSAIDs and increased risk of heart attack in the elderly. Since many arthritis sufferers (and many Vioxx users) are elderly, these studies were a cause of concern.
To test whether this was the case for Vioxx, Merck conducted a large-scale study in which 3025 randomly selected elderly Vioxx users were put on the drug while 2875 were given a placebo. The volunteers were monitored for 18 months. During this time, 334 of the Vioxx group members and 272 members of the placebo group suffered heart attacks.
Required:
a. Compute by hand a 90% confidence interval for the difference in heart attack risk between Vioxx users and non-Vioxx users (the placebo group.)
b. Interpret the interval. What action does it suggest should be taken regarding Vioxx?
Answer:
a
[tex]0.0028 < p_1 - p_2 < 0.0288[/tex]
b
The interval means that there is 90% confidence that the true difference between the proportion of Vioxx users who suffered from heart attack and the non-Vioxx users (the placebo group ) who suffered from heart attack lie within the interval
The use of Vioxx drug should be stopped
Step-by-step explanation:
From the question we are told that
The sample size for Vioxx users is [tex]n_1 = 3025[/tex]
The second sample size for placebo is [tex]n_2 = 2875[/tex]
The number of Vioxx users that suffered heart attack is [tex]k = 334[/tex]
The number of non-Vioxx users that suffered heart attack is [tex]g = 272[/tex]
Generally the sample proportion for Vioxx users is mathematically represented as
[tex]\r p_1 = \frac{k}{n_1}[/tex]
=> [tex]\r p_1 = \frac{334}{3025}[/tex]
=> [tex]\r p_1 = 0.11041 [/tex]
Generally the sample proportion for placebo users is mathematically represented as
[tex]\r p_2 = \frac{g}{n_2}[/tex]
=> [tex]\r p_2 = \frac{272}{2875}[/tex]
=> [tex]\r p_2 = 0.09461 [/tex]
Generally the confidence level is 90% , then the level of significance is [tex]\alpha = (100-90)\%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally the critical value of [tex]\frac{\alpha }{2}[/tex] from the normal distribution table is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally the standard error is mathematically represented as
[tex]SE = \sqrt{\frac{\r p_1 (1- \r p_1)}{n_1} + \frac{\r p_2 (1- \r p_2)}{n_2} }[/tex]
=> [tex]SE = \sqrt{\frac{0.11041 (1- 0.11041)}{3025} + \frac{0.09461 (1-0.09461)}{2875} }[/tex]
=> [tex]SE = 0.0079[/tex]
Generally the margin of error is mathematically represented as
[tex] E= Z_{\frac{\alpha }{2} } * SE[/tex]
=> [tex] E= 1.645 * 0.0079[/tex]
=> [tex] E= 0.013[/tex]
Generally the 90% confidence interval is mathematically represented as
[tex]0.11041 - 0.09461- 0.013 < p_1 - p_2 < 0.11041 - 0.09461+ 0.013 [/tex]
=> [tex]0.0028 < p_1 - p_2 < 0.0288[/tex]
The interval means that there is 90% confidence that the true difference between the proportion of Vioxx users who suffered from heart attack and the non-Vioxx users (the placebo group ) lie within the interval
Looking at the interval we see that proportion of Vioxx users who suffered is more compared to non-Vioxx users (the placebo group )[i.e the both limit of the interval is positive ] hence the use of Vioxx drug should be stopped
Your grandma pays upfront for you to go on an overnight trip with the school, which costs $340. You make a deal that you’ll give her $25 per month until you pay it all back. How will you pay Grandma?
Answer:
350
Step-by-step explanation:
pretty easy just dived
You pay $350 to Grandma.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Grandma pays upfront for you to go on an overnight trip with the school, which costs $340.
And, You make a deal that you’ll give her $25 per month until you pay it all back.
Now,
Let the number of months to pay Granma = x
Then, we can formulate;
$25x = $340
x = 13.6
After rounding,
x = 14
So, We pay 14 months to grandma;
Hence, The cost to pay grandma in 14 months = 14 x $25
= $350
Therefore, You pay $350 to Grandma.
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ2
The johnsons just moved into their new home and are selecting furniture for the family room
I NEED HELP ASP!!!!! 3
Answer: what answer???
Step-by-step explanation: there's no equation
can someone make this for me with a compass but just different colors please
Answer:
so basically you want a drawing identical to that just with different colours?
The graph shows the cost for a crate of the flowers Molly is planting in her garden.
What is the cost of 4 crates of flowers?
Answer:
Little late but its 10
Step-by-step explanation:
Answer:
3 weeks Late my bad, but why let the question go to waste, the answer is 10
What is the base 10 representation of 11102?
Answer:
1.1102 * 10^4
Step-by-step explanation:
11102
= 1.1102 * 10^4
Answer:
14
Step-by-step explanation:
The base two number one one one zero is equal to one times eight, plus one times four, plus one times two, plus zero times one, which simplifies to fourteen.
solve 86.5=2l+2(2l-40.75)
Answer:
[tex]86.5=2l+2(2l-40.75)\\86.5=2l+4l-81.5\\6l=86.5+81.5\\6l=168\\l=28[/tex]
l=28
Susan runs 2 1/2 miles in 0.25 of an hour.what is the unit rate in miles per hour?
Write this equation in slope intercept form. -x + y = -10
Answer:
y=x-10
Step-by-step explanation:
Please help it's due today!!!!!!
Answer:
See Below
Step-by-step explanation:
We are given 3 equations.
3x + 8
5x - 20
and
5x + 4y
First lets solve for x using the first two
3x + 8 = 5x -20
Move the variables to one side
3x + 8 = 5x -20
-3x -3x
8 = 2x -20
+20 +20
28 =2x
28/2 =2x /2
14 = x
Now we have x = 14
Lets plug this into the second equation to solve for the angle
3(14) + 8
42 + 8 = 50
5(14) - 20
70 - 20 =50
Now, lets plug the x and the angle into the third equation to find y
5 (14) +4y = 50
70 + 4y = 50
-70 -70
4y = -20
4y/4 = -20/4
y = -5
So now we have:
x = 14
y = -5
and the angle = 50
Hope this helps!
a product p and six is wrtten as
Answer:
6p
Step-by-step explanation:
Answer: 6p
Explanation: The word "product" is a
keyword that tells us to use multiplication.
So your answer can be written as 6 · p or just 6p.
Don't write your answer as p6.
Even though it's technically correct, I would always put
the number before the variable as a matter of form.
Find the midpoint M of the line segment joining the points P= (-7,-8) and Q = (3,2)
Answer:
(-2, -3)
Step-by-step explanation:
To solve this problem, we use the midpoint formula.
M = [tex]\frac{x1 + x2}{2} , \frac{y1+ y2}{2}[/tex]
Plug your coordinates in:
M = [tex]\frac{-7 + 3}{2} , \frac{-8 + 2}{2}[/tex]
Simplify:
M = [tex]\frac{-4}{2} , \frac{-6}{2}[/tex]
M = (-2,-3)
Jen and Nikki are making bracelets to sell at the local market. They determined that each bracelet would have eight beads and two charms. Create 5 ordered pairs (charms, beads) that could be used to graph this relationship
Answer:
Step-by-step explanation:
Ordered Pair1: (8,2)
2:(8*2,2*2)=(16,4)
3:(8*3,2*3)=(24,6)
4: (8*4,2*4)=(32,8)
5: (8*5,2*5)=(40,10)
36. Please help me it’s my last question
Answer:
7in. in length and 6in. in width.
Step-by-step explanation:
Divide the number of feet by 3.
plot the x intercepts,maxima and minima of y=cos(x) from 0 to 2pi
Answer:
Figure of the function is included below as attachment.
Step-by-step explanation:
Let [tex]y = \cos x[/tex]As first step we have to find x intercepts, maxima and minima from 0 to 2π, which are needed to plot given function. Cosine is a trigonometric function bounded between -1 and 1 with a periodicity of 2π.
x-Intercepts
x-intercepts are those points of the function such that [tex]y = 0[/tex]. That is:
[tex]\cos x = 0[/tex]
In this case, there is a periodicity of π for [tex]y = 0[/tex]. The x-intercepts are in the following set:
[tex]S = \{\forall\,x\in\mathbb{R}|x=0.5\pi\pm\pi\cdot i,i\in\mathbb{N}_{O} \}[/tex]
Maxima
Maxima are those points of the function such that [tex]y = 1[/tex]. That is:
[tex]\cos x = 1[/tex]
In this case, there is a periodicity of 2π for [tex]y = 1[/tex]. Maxima are in the following set:
[tex]S = \{\forall\,x\in\mathbb{R}|x=0\pm2\pi\cdot i,i\in\mathbb{N}_{O} \}[/tex]
Minima
Minima are those points of the function such that [tex]y = -1[/tex]. That is:
[tex]\cos x = -1[/tex]
In this case, there is a periodicity of 2π for [tex]y = -1[/tex]. Minima are in the following set:
[tex]S = \{\forall\,x\in\mathbb{R}|x=\pi\pm2\pi\cdot i,i\in\mathbb{N}_{O} \}[/tex]
Lastly, we proceed to plot the function as well as its x-intercepts, maxima and minima with the help of a plotting tool.
Please answer this as fast as you can.
Write a slop-intercept equation for a line that passes through (4,0) and (-5,6)
Answer: -2/3
Step-by-step explanation:
y2 - y1/ x2 - x1
6-0/-5-5
-6/9
-2/3
Answer:
y=-2/3x+10 1/3
Step-by-step explanation:
y=mx+b (m = slope)
(Equation) y2-y1/x2-x1
= 6-0/-5-4
= -6/9
= -2/3
y-y1 = m(x-x1)
y-6 = -2/3 +5
y-6 = 4 1/3
y = 10 1/3
Solve for x
a)41
b)17
c)19
d)18
Answer:
18
Step-by-step explanation:
3x+1=55
(alternate angle theorem)
3x=55-1
3x=54
x=54/3
x=18
Answer:
d
Step-by-step explanation:
3x + 1 and 55 are alternate angles and congruent, thus
3x + 1 = 55 ( subtract 1 from both sides )
3x = 54 ( divide both sides by 3 )
x = 18 → d
Solve the inequality. 1 2 (8x − 4) − 2 3 (9x + 6) ≤ 9 The solution is .
Answer:
[tex]x\geq-1.\overline{756}[/tex]
Step-by-step explanation:
[tex]1 2 (8x -4) -23 (9x + 6)\leq 9\\\\96x-48-207x-138\leq9\\\\(96-207)x+(-48-138)\leq9\\\\-111x-186\leq9\\\\-111x\leq9+186\\\\-111x\leq195\\\\111x\geq-195\\\\x\geq\frac{-195}{111}\\\\x\geq-\frac{65}{37}\\\\x\geq-1.\overline{756}[/tex]
A chord in a circle is 16cm long and its perpendicular distance from the centre is 6cm. what is the radius of the circle
Answer:
10 cm
Step-by-step explanation:
the perpendicular from centre bisect the chord in equal halves. hence you can use pythagoras therom as
r^2 = 6^2 + 8^2