Answer:
12.25π m²
Step-by-step explanation:
Circumference = Diameter x pi
Area = radius squared (^2) x pi
7 divided by 2 = 3.5
3.5^2 = 12.25
12.25π
Answer:
A ≈ 3.9
Step-by-step explanation:
How to solve
Using the formulasA=πr2
C=2πr
Solving for AA=C2
4π = 72
4·π ≈ 3.8993
Therefore, the circle in square meters in the nearest tenths is A ≈ 3.9
a person invested $330 in an account growing at a rate allowing the money to double every 8 years. Write a function showing the amount of money in the account after tt years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year, to the nearest hundredth of a percent.
Answer:
The percentage of growth is of 9.05%.
The amount of money in the account after t years is given by [tex]P(t) = 330(1.0905)^t[/tex]
Step-by-step explanation:
Amount of money after t years:
The amount of money in an account after t years is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial deposit and r is the growth rate, as a decimal.
Money doubles every 8 years.
This means that [tex]P(8) = 2P(0)[/tex]. So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]2P(0) = P(0)(1+r)^8[/tex]
[tex](1+r)^8 = 2[/tex]
[tex]\sqrt[8]{(1+r)^8} = \sqrt[8]{2}[/tex]
[tex]1 + r = 2^{\frac{1}{8}}[/tex]
[tex]1 + r = 1.0905[/tex]
[tex]r = 1.0905 - 1[/tex]
[tex]r = 0.0905[/tex]
The percentage of growth is of 0.0905 = 9.05%.
Person invested $330
This means that [tex]P(0) = 330[/tex]
So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = 330(1+0.0905)^t[/tex]
[tex]P(t) = 330(1.0905)^t[/tex]
The amount of money in the account after t years is given by [tex]P(t) = 330(1.0905)^t[/tex]
Which steps are needed to solve this equation? 100 points for the first correct answer.
Answer:
the first one sub 6 from both =15
Step-by-step explanation:
b+6=21
-6 -6
b=15
How many centimeters does it grow Bamboo grows 91 centimeters per day. per hour? (GIVING BRAINLIEST)
Answer:
3.79 centimetres
Step-by-step explanation:
1 day = 24 hours
91 ÷ 24 = 3.79 centimetres
Answer:
if the question you're asking is how many cm does bamboo grow per hour, then around 3.81 cm per hour.
no links please or you will be reported .
Answer:
Step-by-step explanation:
2 should be 50 degrees as well. 1 should be 130 (to get the needed 180) 3 should be 130 degrees. Hopefully this is correct
solve the system of equations -3x+2y=-3 and -x-y=-11 by combining the equations
Answer:
-4x, 1y, -14
Step-by-step explanation:
Hope this helps :)
The volume of the polyhedron is ______ cm3.
Which expression is equivalent to
y
2
Answer:
Hello!
Distributive property: a(b+c)=ab+ac
Minus and plus sign.
Then multiply by the numbers.
Hope this helps!
Thanks!
Have a great day!
Step-by-step explanation:
Find the diameter of the object. 2 in
Answer:
Step-by-step explanation:
Can you write your questions clearly, so we can answer it well
Answer:
is it 2 inches?
Step-by-step explanation:
Put the correct answer for but if I check the answer and the answer is wrong then i´m going to report you!
Answer:
It’s C
Step-by-step explanation:
Why because it’s is
Dream should do a facial revile
Which of the following scenarios is best represented by the scatter plot above?
Answer: B
Step-by-step explanation:
negative correlation so as x increases y decreases,
as population rises houses should rise, not A
as buildings rise, need more space and less trees, B is the answer
as cars rise population should rise, not C
no correlation, not D
On July 1, 2021 Sikie Shoe Manufacturing Co. issued 45,000 common shares for cash at a Market price of $25
Answer:
$1125000
Step-by-step explanation:
45,000 x 25 = 1125000
Since the question didn't specify what values to calculate, I will assume that it is how much money was issued in total.
Brianna earns $19,500 per year. Lisa earns $1000 per month. Write a numerical expression that represents how much more Brianna earns per year than Lisa
Answer:
$19,500 - $1000
Step-by-step explanation:
the amount Brianna earns in excess of the amount Lisa earns can be determined by subtracting the amount Brianna earns from that Lisa earns
$19,500 - $1000 = $18,500
PLZ HELP ILL MARK BRAINLIST!!!
Answer:
So, your answer would be 226.08 cubic meters of dirt.
Step-by-step explanation:
:D
HELP ME OUTT PLSS BXJXID
Answer:
d
Step-by-step explanation:
Answer: D
Step-by-step explanation:
The probability of picking a brown pencil greater than the probability as NOT picking a brown pencil because there more brown pencils than purple so there is a higher chance you will get a brown than NOT get a brown.
Find the probability of drawing a 10 from a standard deck
of 52 cards,
Answer:
4/52 or 1/13 (simplified)
Step-by-step explanation:
There are 4 "10's" in a pack.
This means you have the chance to pick 4 10's.
So out of 52 cards, you can get 4.
4/52 -> Which can be simplified to 1/13.
This is the probability of getting a 10 (once) in a standard deck of cards.
The probability of drawing a 10 from a standard deck of 52 cards is 1/13.
Number of 10's in a standard deck of 52 cards =4
Total cards =52
What is probability?Probability is the measurement of the possibilities of events.
P(event) =Favorable outcomes/ Total possible outcomes
Here, Favorable outcomes =4
Total possible outcomes =52
P(10) =4/52
P(10) =1/13
So, the probability of drawing a 10 from a standard deck of 52 cards =1/13
Thus, the probability of drawing a 10 from a standard deck of 52 cards is 1/13
To get more about probability visit:
https://brainly.com/question/24756209
If f(x) = |x – 2| then find f(-3).
Answer:
5
Step-by-step explanation:
f(x) = |x – 2|
f(3) = |-3 - 2| = |-5| = 5
SOMEONE HELP ME PLS ASAP I WILL GIVE BRAINLIEST PROVE ABCD IS A PARALLELOGRAM
Answer:
It's a parallelogram because it has two parallel side (a,d)+(b,c) or (a,b)+(d,c). The shape is connected by the line "a,d"
Step-by-step explanation:
What is the slope for coordinates (-1,3) (0,0) (1,-3)
Answer:
-3
Step-by-step explanation:
The slope should be -3 since the rise is -3 and the run is 1 it would be -3/1.
Which polynomial is a difference of two squares? (4 points)
x2 - 12
x2 + 12
x2 – 36
x2 + 36
Answer:
[tex] {x}^{2} - 36 [/tex]
Step-by-step explanation:
[tex] {x}^{2} - 36 \\ \\ = {x}^{2} - {6}^{2} [/tex]
work out the value of x.
Answer:
4.8
Step-by-step explanation:
area of rectangle = lxb = 8x
area of trapezium = (a+b)h/2 = ( x+13)6 /2 = 3x + 39
Aea of whole figure = 91.8
8x + 3x+ 39 = 91.8
11x = 91.8-39
x= 52.8 /11 = 4.8
I hope im right! !t
Use the remainder theorem and synthetic division to find f(k) for the given value of k.
Answer:
3
Step-by-step explanation:
Given that,
[tex]f(x) =-x^3-8x^2-15x+3[/tex]
We need to find the value of f(x) when k = -5
Put x = -5 in th given function.
So,
[tex]f(-5) =-(-5)^3-8(-5)^2-15(-5)+3\\\\=3[/tex]
Hence, the value of the given function is equal to 3.
Solve for x.
Question 4 options:
A)
8
B)
–8
C)
9
D)
–9
Answer:
x = -9
Step-by-step explanation:
Given:
BC = x + 19
ST = x + 29
Required:
Value of x
Solution:
Midsegment theorem states that the midsegment of a triangle = ½ of the length of its third side
Thus:
BC = ½(ST)
Substitute
x + 19 = ½(x + 29)
Multiply both sides by 2
2(x + 19) = x + 29
2x + 38 = x + 29
Collect like terms
2x - x = -38 + 29
x = -9
Solve 5.408 − 1.07
pls answer
Answer: 4.338
Step-by-step explanation: Calculator
A group of 80 people who had been diagnosed as prediabetic because of high blood glucose levels volunteered to participate in a study designed to investigate the use of cinnamon to reduce blood glucose to a normal level. Of the 80 people, 40 were randomly assigned to take a cinnamon tablet each day and the other 40 were assigned to take a placebo each day. The people did not know which tablet they were taking. Their blood glucose levels were measured at the end of one month. The results showed that 14 people in the cinnamon group and 10 people in the placebo group had normal blood glucose levels. For people similar to those in the study, do the data provide convincing statistical evidence that the proportion who would be classified as normal after one month of taking cinnamon is greater than the proportion who would be classified as normal after one month of not taking cinnamon?
a. No conclusion can be made about the use of cinnamon because the people in the stuey were volunteers
b. There is convincing statistical evidence at the level of 0.01
c. There is convincing statistical evidence at the level of 0.05 but not at the ver.01
d. There is convincing statistical evidence at the level of 0.10 any reason
e. There is not convincing statistical evidence
Answer:
E
Step-by-step explanation:
AP Classroom says so.
The data doesn't provide convincing statistical evidence for considered proportion comparison. We deduce that: Option E: There is not convincing statistical evidence
How to form the hypotheses?There are two hypotheses. First one is called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test. The hypothesis which we put against null hypothesis is alternate hypothesis.
Null hypothesis is the one which researchers try to disprove.
How to calculate the value of z-test statistic for two sample proportions?Suppose we have:
[tex]\hat{p}_1[/tex] = first sample's proportion[tex]n_1[/tex] = first sample's size[tex]\hat{p}_2[/tex] = second sample's proportion[tex]n_2[/tex] = first sample's size[tex]\hat{p}[/tex] = overall proportionThen, we get:
[tex]Z = \dfrac{\hat{p}_1 - \hat{p}_2}{\sqrt{\hat{p}(1-\hat{p}_1 )(\dfrac{1}{n_1} + \dfrac{1}{n_2}) }}[/tex]
If the level of significance = [tex]\alpha[/tex]critical value of Z is: [tex]Z_{\alpha/2}[/tex], and if [tex]Z > Z_{\alpha/2}[/tex]null hypothesis, else if [tex]Z_{\alpha/2} > Z[/tex] then we cannot reject it.
For this case, we want to know if the data provides convincing statistical evidence that the proportion who would be classified as normal after one month of taking cinnamon is greater than the proportion who would be classified as normal after one month of not taking cinnamon.
Thus, we get our hypotheses as:
Null hypotheses: They don't provide convincing evidence (and thus, cinnamon had no improvement on the proportion), and thus:
[tex]H_0: \hat{p}_1 \leq \hat{p}_2[/tex]
Alternate hypothesis: Data provides convincing evidence (that the use of cinnamon made increment in considered proportion), and thus:
[tex]H_a: \hat{p}_1 > \hat{p}_2[/tex]
The test is single tailed.
For this case, we have:
[tex]x_1[/tex] = quantity of intended object found in first sample = 14 (of those who take cinnamon tablets each day)[tex]n_1[/tex] = first sample's size = 40[tex]\hat{p}_1 = x_1/n_1 = 14/40 =0.35[/tex] [tex]x_2[/tex] = quantity of intended object found in second sample = 10 (of those who take placebo each day)[tex]n_2[/tex] = second sample's size = 40[tex]\hat{p}_2 = x_2/n_2 = 10/40 =0.25[/tex][tex]\hat{p}[/tex] overall proportion = [tex](x_1 + x_2)/(n_1 + n_2) = (10 + 14)/80 = 0.3[/tex]Thus, we get:
[tex]Z = \dfrac{\hat{p}_1 - \hat{p}_2}{\sqrt{\hat{p}(1-\hat{p}_1 )(\dfrac{1}{n_1} + \dfrac{1}{n_2}) }} =\dfrac{0.35 - 0.25}{\sqrt{0.3(0.7 )(\dfrac{1}{40} + \dfrac{1}{40}) }} \approx 0.976[/tex]
At 0.01 level of significance ([tex]\alpha = 0.01 = 1\%[/tex]), we get the critical value of Z from z-tables as:
[tex]Z_{\alpha/2} = 2.576[/tex]
Since [tex]Z_{\alpha/2} > Z[/tex] , we cannot reject the null hypothesis, and thus, deduce that there is not convincing statistical evidence at the level of 0.01
At 0.05 level of significance ([tex]\alpha = 0.05 = 5\%[/tex]), we get the critical value of Z from z-tables as:
[tex]Z_{\alpha/2} = 1.96[/tex]
Since [tex]Z_{\alpha/2} > Z[/tex] , we cannot reject the null hypothesis, and thus, deduce that there is not convincing statistical evidence at the level of 0.05
At 0.10 level of significance ([tex]\alpha = 0.10 = 10\%[/tex]), we get the critical value of Z from z-tables as:
[tex]Z_{\alpha/2} = 1.645[/tex]
Since [tex]Z_{\alpha/2} > Z[/tex] , we cannot reject the null hypothesis, and thus, deduce that there is not convincing statistical evidence at the level of 0.10
Remember that the conclusions can be made even if they were volunteers since that doesn't make it wrong as volunteers are randomly coming out people from real population.
Thus, we deduce that: Option E: There is not convincing statistical evidence
Learn more about two proportions z-test here:
https://brainly.com/question/4757147
Write the equation of the following circle in general form and standard form. Show your work.
Answer:
Step-by-step explanation:
Standard equation of a circle is given by,
(x - h)² + (y - k)² = r²
Here, (h, k) is the center of the circle.
From the graph given in the picture,
Center of the circle → (-1, 1)
Radius of the circle = 3 units
Therefore, standard equation of the circle will be,
(x + 1)² + (y - 1)² = 3²
(x + 1)² + (y - 1)² = 9
General equation of the circle is the expanded form of the standard equation.
x² + 2x + 1 + y² + 1 - 2y = 9
x² + y² + 2x - 2y + 2 = 9
x² + y² + 2x - 2y - 7 = 0
Therefore, general equation of the given circle is,
x² + y² + 2x - 2y - 7 = 0
Which pair of angles are supplementary angles?
A. 33, 66
B. none of the above
C. 140, 40
D. 100, 78
Answer:
C. 140, 40
Step-by-step explanation:
Supplementary angles are two angles that add up to a sum of 180°.
140+40 = 180
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.19. How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 98% confidence level with an error of at most 0.02
Answer:
A sample of 2084 is needed.
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].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In an earlier study, the population proportion was estimated to be 0.19.
This means that [tex]\pi = 0.19[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 98% confidence level with an error of at most 0.02?
This is n for which M = 0.02. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 2.327\sqrt{\frac{0.19*0.81}{n}}[/tex]
[tex]0.02\sqrt{n} = 2.327\sqrt{0.19*0.81}[/tex]
[tex]\sqrt{n} = \frac{2.327\sqrt{0.19*0.81}}{0.02}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.327\sqrt{0.19*0.81}}{0.02})^2[/tex]
[tex]n = 2083.4[/tex]
Rounding up:
A sample of 2084 is needed.
Find the midpoint of the segment below and enter its coordinates as an
ordered pair. If necessary, express.coordinates as fractions, using the slas
mark ( / ) for the fraction bar.
(-4,3) (-4,-3)
The radius of a circle is 3 cm. Find its area in terms of \piπ.
Answer:
The area would be 28.27
1. Kathy is building a bed for her dollhouse. She used her real bed as a guide for how to
create the dollhouse bed. Her bed is 36 inches wide and 60 inches long. If she wants
to scale this down by 1/10, what would be the dimensions of the dollhouse bed?
Explain how you got your answer.
*Use the term SCALE FACTOR in your explanation.
PLS ANSWER QUICKLY !!!