Answer:
After 16 months there will be a population of 1,944 insects.
Step-by-step explanation:
Since an insect population triples every 4 months, if the population started out with 24 insects, to determine how many insects would there be in 16 months, the following calculation must be performed:
X = 24 x 3 ^ (16/4)
X = 24 x 3 ^ 4
X = 1,944
Thus, after 16 months there will be a population of 1,944 insects.
HELP Easy math easy points look at the photo
Answer:
x = 60
Step-by-step explanation:
33 + 87 + 60 = 180
:))
Answer:
x = 60
Step-by-step explanation:
A lawn service owner is testing new weed killers. He discovers that a particular weed killer is effective 89% of the time. Suppose that this estimate was based on a random sample of 60 applications. Construct a 90% confidence interval for p, the true proportion of weeds killed by this particular brand. what is the upper confidence limit for p
Answer:
The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
He discovers that a particular weed killer is effective 89% of the time. Suppose that this estimate was based on a random sample of 60 applications.
This means that [tex]\pi = 0.89, n = 60[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 - 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.8236[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 + 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.9564[/tex]
The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.
Answer:
Answer:
The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
He discovers that a particular weed killer is effective 89% of the time. Suppose that this estimate was based on a random sample of 60 applications.
This means that
90% confidence level
So , z is the value of Z that has a pvalue of , so .
The lower limit of this interval is:
The upper limit of this interval is:
The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564
Step-by-step explanation:
I need to find the measure of
Answer:
so it would be 5+20
Step-by-step explanation:
MY STORE is selling $30 jeans for $15. What is the discount percentage?
Answer:
50% off
Step-by-step explanation:
15 is half of 30 so it would be 50%
The student body president of a high school claims to know the names of at least 1000 of the 1800 students who attend the school. To test this claim, the student government advisor randomly selects 100 students and asks the president to identify each by name. The president successfully names only 46 of the students. Identify the population and parameter of interest.
Answer: Population = Total students attend the school.
Parameter = Proportion of students named by president correctly.
Step-by-step explanation:
Population for a particular study is the largest possible group of individuals that are essential to be considered.
Parameter = measure of characteristic in a population.
By the above definition, we have
Population = Total students attend the school(1800).
Parameter = Proportion of students named by president correctly.
write an exponential formula of the form f (t)=a×b^t to represent the following situation. assume t is in years. an investment of $11,500 triples every 14 years. round your values to the three decimal places. f(t)=________
Answer
[tex]f(t) = 11500 * (3)^{\frac{t}{14}}[/tex]
Explanation
Given
[tex]a = 11500[/tex] -- initial
[tex]b = 3[/tex] ---- every 14 years
Required
The exponential equation
The exponential equation is:
[tex]y =ab^T[/tex]
First, calculate the yearly rate.
Triples every 14 years, implies that:
[tex]b = 3[/tex] -- the rate
[tex]T=\frac{t}{14}[/tex] ---- time
So:
[tex]y =ab^t[/tex]
[tex]y = 11500 * (3)^{\frac{t}{14}}[/tex]
Hence:
[tex]f(t) = 11500 * (3)^{\frac{t}{14}}[/tex]
A grocery store sells a bag of 5 lemons for $3.00. What is the unit cost of each lemon in the bag?
Answer:
the unit cost of each lemon is $0.60
Step-by-step explanation:
divide 3.00 by 5 to get 0.6
Find the Domain and Range
Answer:
See explanation below
Step-by-step explanation:
Domain = [tex]-7\leq x\leq infinity[/tex]
Range = [tex]-1<y<infinity[/tex]
Domain refers to the set of x values of the graph, while range refers to the set of y values of the graph.
A car travels 30
303
miles in
of an hour. What is the average speed, in miles per hour,
of the car?
Answer:
45.3 miles/h
Step-by-step explanation:
let 'x' be the speed of the car.
60 × 2/3 = 120/3 = 40
30 × 1/5 = 151/5
151/5 /40 = x / 60
151 / 200 = x / 60
=> x = (151×60) / 200
=> x = 45.3
if this helps can I pls get a brainliest?
#The extremities of the diagonal of a square are (1,1 )and (-2, -1).Obtain the two other vertices and the equation of a next diagonal.
#
find the area of the triangle with vertices(1,2),(2,3),and(4,5).what inference can you draw about the points from your upshot?
Answer:
(i) (-3/2, 3/2) and (1/2, - 3/2)
6x + 4y = - 3
(ii) Points are col linear
Step-by-step explanation:
Let the coordinates of the point(lower) be (a, b) and that of upper be (x, y).
Using mid point formula,
Mid point of diagonal(using the given points) is:
= ( (-2+1)/2 , (-1+1)/2) = (-½ , 0)
Using (a, b) and (x, y) :
= ( (a+x)/2 , (b+y)/2 ) = (-1/2, 0)
Which means, a+x= -1 & b + y = 0
Therefore, x = - 1 - a & b = - y
Using distance formula, diagonal = √(-2-1)² + (-1-1)² = √13
Knowing the relation in diagonal and side, side = diagonal/√2 = √13/√2 = √(13/2)
Again using distance formula, diagonal = √13
=> √(x - a)² + (y - b)² = √13
=> (-1-a -a)² + (-b - b)² = 13
=> a² + b² + a = 3 ... (1) [solved directly]
Length of side = √(13/2)
=> √(a-(-2))² + (b-(-1))² = √(13/2)
=> a² + b² + 4a + 2b = 3/2 ...(2)
On solving (1) and (2):
a = 1/2 or -3/2, but a lies in 4th quadrant so a > 0, thus, a = 1/2
b = -3/2 or 3/2, but b lies in 4th quadrant so b < 0, b = -3/2
Therefore,
x = - 1 - a = -1 - 1/2 = -3/2
y = - b = - (-3/2) = 3/2
Vertices are (x, y) = (-3/2, 3/2) and (a, b) = (1/2, -3/2)
Equation is just a relation in y and x, for a relation:
Subtract (1) from (2):
3a + 2b = -3/2 => 6a + 4b = - 3
By merely replacing a, b by x, y
6x + 4y = -3 is the required equation
(ii):
Ar. of ∆ = ½ | 1(3 - 5) + 2(5 - 2) + 4(2 - 3) |
Ar. of ∆ = ½ | -2 + 6 - 4 | = 0
As the area of the ∆ is 0, the given points don't form ∆, they are col linear.
Please help with this I don’t know how to work with slopes
Answer:
1/2x
Step-by-step explanation:
Slope is
Rise over run In a fraction the rise is the numerator and the run is the denominator
From getting one point to another
You rise 1 and run 2
Which is the equivalent of 1/2
Answer:
Step-by-step explanation:
(-1, -4) (1, -3)
(-3 + 4)/(1 + 1) = 1/2
Which situation is a result of focal policy
O A A Corporationis fines for violating regulations.
3. A school gets more money to buy computers,
O C. A bank offers a loan to a small business.
D. A consume hes limites options for food at a store
Given the angles in the diagram below, what is mZ2?
Answer:
98
Step-by-step explanation:
Hello There!
The angle that has a measure of 82 degrees and the angle labeled "2" are supplementary angles.
This meaning that the sum of the two angles is 180
So to find the missing angle (2) we subtract the given angle (82 in this case) from 180
so ∠2 = 180 - 82
180 - 82 = 98
Hence, the answer is 98°
Please Help!!
Jacqui has 162 trading cards. She buys 25 more trading cards. Then, she puts her trading cards into a binder. Each page of the binder holds 9 cards.
After filling as many pages as she can, Jacqul gives the rest of the trading cards to her brother.
How many trading cards does Jacqui give to her brother?
Enter the answer in the box.
trading cards
Are you given how many pages are in the binder?
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
28 cm
Estimate the area of the circle. Use 3.14 or 22/7 for pie
Answer:
if 28 cm is the radius then:
area = 2461.76 cm²
if 28 cm is the diameter then:
area = 615.44 cm²
Step-by-step explanation:
area = πr² = (3.14)(28²) = 2461.76 cm²
Pleas help with this
What is the surface area of the container?
A.
1,228 sq cm
B.
1,636 sq cm
C.
219 sq cm
D.
818 sq cm
Answer:
the correct answer is B
Step-by-step explanation:
got it right!!!!
Pleaseeee helpppp meeee
Find each trig ratio.
Answer:
a) 12/13
b) 5/13
Step-by-step explanation:
sin k = 12/13
cos k = 5/13
Evaluate(8−3i)(3+2i)
Answer:
The answer is 30+7i.
Step-by-step explanation:
Imaginary Number Definition
[tex]\large\boxed{{i=\sqrt{-1}}}[/tex]
Simply evaluate like how you evaluate polynomials. Expand the expression in.
[tex]\large{(8-3i)(3+2i)=[(8*3)+(8*2i)]+[(-3i*3)+(-3i*2i)]}\\\large{(8-3i)(3+2i)=(24+16i)+(-9i-6i^2)[/tex]
Therefore, our new expression when cancelling out the brackets is:
[tex]\large\boxed{24+16i-9i-6i^2}[/tex]
Imaginary Number Definition II
[tex]\large\boxed{i^2=-1}[/tex]
Therefore, substitute or change i² to -1
[tex]\large{24+16i-9i-6(-1)}\\\large{24+7i+6}\\\large{30+7i}[/tex]
Complex Number Definition
[tex]\large\boxed{a+bi}[/tex]
Where a = Real Part and bi = Imaginary Part.
Therefore, it's the best to arrange in the form of a+bi.
Hence, the answer is 30+7i.
If you are just building your payment history, how many points from a perfect score will you possibly miss?
A. 297.5
B. 85
C. 255
D. 127.5
Answer: 297.5
Step-by-step explanation:
Your credit history is 35% of your credit score. The highest points in credit is 850. Since you have no credit score, you would do (850)(0.35) which equals 297.5
please answer asap! no scam links or scam comments or reported.
Answer:
A
Step-by-step explanation:
Warren has a container which holds 22 books of the same shape and size. The exact breakdown of his books is shown below:
6 white books
9 purple books
7 green books
Each time, Warren takes out a book at random. He will replace the book and take out another book from the container. What is the probability that Warren takes out a green book in both draws? (3 points)
a
7 over 22 multiplied by 7 over 22 equal 49 over 484
b
7 over 22 multiplied by 6 over 21 equal 42 over 462
c
7 over 22 plus 6 over 21 equal 279 over 462
d
7 over 22 plus 7 over 22 equal 308 over 484
Given:
Total number of book = 22
Number of white books = 6
Number of Purple books = 9
Number of green books = 7
To find:
The probability that Warren takes out a green book in both draws (with replacement).
Solution:
We know that,
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]P(\text{White})=\dfrac{6}{22}[/tex]
[tex]P(\text{Purple})=\dfrac{9}{22}[/tex]
[tex]P(\text{green})=\dfrac{7}{22}[/tex]
After replacement, the probability of event remains the same and the independent.
The probability that Warren takes out a green book in both draws is:
[tex]P=P(\text{green})\times P(\text{green})[/tex]
[tex]P=\dfrac{7}{22}\times \dfrac{7}{22}[/tex]
[tex]P=\dfrac{49}{484}[/tex]
Therefore, the correct option is (a).
30. find the value of x
(7x + 10) (11x - 6)
question in picture(explain if u can it helps alot)
Answer:
4z + 2q
Step-by-step explanation:
there is 4 "z" and 2 "q"
Answer:
4z+2q
Step-by-step explanation:
combine like terms
combine all the z’s and all the q’s
What is the value of x, and what is the missing angle?
NO LINKS, THEY WILL BE REMOVED
Answer:
x = 14
Missing angles: 33° and 57°
Step-by-step explanation:
(2x + 5) + (3x + 15) = 90° (complementary angles)
Add like terms
5x + 20 = 90
5x = 90 - 20
5x = 70
x = 70/5
x = 14
✔️Plug in the value of x to find each missing angle:
2x + 5 = 2(14) + 5 = 33°
3x + 15 = 3(14) + 15 = 57°
Since Spring started, Kareem has been surveying the growth of leaves on his neighborhood trees. He goes out every day and computes the average number of leaves on a sample of trees. He created a scatter plot where the y-axis represents the average number of leaves on the trees, and the x-axis represents the number of weeks since Spring started.
Write a linear equation in slope-intercept form that can be used to approximate the data distribution using the two data points labeled on the best fit line.
Answer:
y=1x-b is thou answer
Answer:
um yeah i have that question but it isnt right?
Step-by-step explanation:
I dont know why it didnt work :(
A boat can travel 40mph in still water. If it travels 126 miles with the current in the same length of time it travels 114 miles against the current, what is the speed of the current?
no links please
Answer:
rate of the current = 2 mph
Step-by-step explanation:
d = rt
Let c = rate of the current
Rate going downstream = c + 40
Time going downstream = 126/(40 + c)
Rate going up stream = 40 - c
Time going upstream = 114/(40 - c)
Since the times are equal, then
126/(40 + c) = 114/(40 - c)
126(40 - c) = 114(40 + c)
5040 - 126c = 4560 + 114c
240c = 480
c = 2 mph
Pls help with this ASAP :)
Answer:
No Solution
Step-by-step explanation:
-8x - 2(7+2x) = -6(2x+5)
-12x - 14 = -12x - 30
-14 = -30, False
No Solution
ANSWER ASAP PLEASEEEE SKSKSSKS
Which number is irrational?
A. 9
B. 10
C. 16
D. 25
E. 36
Answer:
pretty sure its 9
[tex] \sqrt{9 = + 3} [/tex]