Answer:3
Step-by-step explanation:
12/4=3, 9/3=3
hope it helps
A bag has 4 red marbles, 5 blue marbles, and 6 green marbles. What is the probability if choosing a red marble from the bag, not putting it back, and then choosing a green marble?
4/15
6/14
12/105
24/225
Step-by-step explanation:
hope u get it...
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In a class of 100 students 45 students read physics, 52 students read Chemistry and 15 students read both the subject. Find the number of people who student who study neither physics nor chemistry
Answer:
12
Step-by-step explanation:
First,
Add 45+52+15
Then the answer will be 112
Then -(minus) from 100
Answer:
18 students
Step-by-step explanation:
45 - 15 = 30 students only read physics
52 - 15 = 37 students only read chemistry
15 students read both
add all of them:
30 + 37 + 15 = 82
subtract the sum from 100
100 - 82 = 18
18 students doesn't study neither
one, no, or infinitely many solutions
Answer:
Only one solution
Step-by-step explanation:
Given:
2c + 4 - 3c = -9 + c + 5
Find:
Number of solution
Computation:
2c + 4 - 3c = -9 + c + 5
-c + 4 = -4 + c
-2c = -8
c = 4
Only one solution
A cone has a radius of 1.2 inches and a height pf 2.9 inches. What is the volume, to the nearest tenth of a cubic inch,of a cone?
9514 1404 393
Answer:
4.4 in³
Step-by-step explanation:
The formula for the volume of a cone is ...
V = 1/3πr²h
For the given dimensions, the volume is ...
V = 1/3π(1.2 in)²(2.9 in) = 1.392π in³ ≈ 4.4 in³
"K Co.'s" bonds currently sell for $1,150. They have a 6.75% semi-annual coupon rate and a 15-year maturity and are callable in 6 years at $1,067.50. Assume that no costs other than the call premium would be incurred to call and refund the bonds, and also assume that the yield curve is horizontal, with rates expected to remain at current levels on into the future. Under these conditions, what rate of return should an investor expect to earn if he or she purchases these bonds, the YTC or the YTM? Why?
Ans.......
YTC ...................................
Step-by-step explanation:
The Total cost to rent 5 chairs and 3 tables is $31 dollars. What is the cost to rent each chair and each table? No links please
Answer:
b
Step-by-step explanation:
A composite figure has three congruent triangles removed from it.
What is the area of the shaded region?
O 98ft
O 128ft
O 160ft
O 192ft
Answer:
[tex] 128 \: {ft}^{2} [/tex]
Step-by-step explanation:
Area of the shaded region = 3 times the area of one square with side length 8 ft - 3 time the area of one triangle with base 8 ft and height 8 ft
[tex] = 3 {(8)}^{2} - \cancel 3 \times \frac{1}{\cancel 3} \times 8 \times 8 \\ \\ = 3 \times 64 - 64 \\ \\ = (3 - 1)64 \\ \\ = 2 \times 64 \\ \\ = 128 \: {ft}^{2} [/tex]
You bought $2000 worth of stocks in 2012. The value of the stocks has been decreasing by 10% each year
Part A
Write an exponential function to represent this scenario...
Format for answer...
A(T) = a (1 + r)
Part B
What will your stock be worth in 2017? Round your answer to the nearest cent.
Answer:
a(t)= 2000(1+r)^T
*make sure to add the power to t
a(t)=2000(1+.10)^5
= 3221.02
Hope this helps!
The exponential decay function is given by y=2000×0.9ˣ and the stock will be worth $1180.98 after a period of 5 years.
What is exponential decay function?In mathematics, exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula y=a(1-b)ˣ wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.
Given here: The value of the stock in 2012 was $2000 and the value decreases each year by 10%
We know the exponential decay is given by y=a(1-b)ˣ
where x is the number of years and 1-b is the decreasing factor
Thus based on the given information we can construct the exponential decay function as y=2000(1-10%)ˣ
or y=2000×0.9ˣ
Therefor in 5 years i.e in 2017 the stock will be worth
y=2000×0.9⁵
=$1180.98
Hence, The exponential decay function is given by y=2000×0.9ˣ and the stock will be worth $1180.98 after a period of 5 years.
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The concentration of hexane (a common solvent) was measured in units of micrograms per liter for a simple random sample of sixteen specimens of untreated ground water taken near a municipal landfill. The sample mean was 228.0 with a sample standard deviation of 4.3. Twenty specimens of treated ground water had an average hexane concentration of 224.6 with a standard deviation of 5.0. It is reasonable to assume that both samples come from populations that are approximately normal.
Can you conclude that the mean hexane concentration is less in treated water than in untreated water? Use the ? = 0.10 level of significance.
No
Yes
Answer:
Yes, it can be concluded that the mean hexane concentration is less in treated water than in unsaturated water
Step-by-step explanation:
The number of of specimen in the samples of untreated water, n₁ = 16
The sample mean, [tex]\overline x_1[/tex] = 228.0
The sample standard deviation, s₁ = 4.3
The number of of specimen in the samples of treated water, n₂ = 20
The sample mean, [tex]\overline x_2[/tex] = 224.6
The sample standard deviation, s₂ = 5.0
The level of significance = 0.10
The null hypothesis, H₀; [tex]\overline x_1[/tex] ≥ [tex]\overline x_2[/tex]
The alternative hypothesis, Hₐ; [tex]\overline x_1[/tex] < [tex]\overline x_2[/tex]
The degrees of freedom = 16 - 1 = 15
The test statistic, [tex]t_{\alpha}[/tex] = 1.341
[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
Plugging in the values, we get;
[tex]t=\dfrac{(224.6- 228.0)}{\sqrt{\dfrac{5.0^{2}}{20} -\dfrac{4.3^{2} }{16}}} \approx -11.0675[/tex]
Given that the t-value is large, the corresponding p-value is low, therefore, we fail to reject the null hypothesis and there is considerable statistical evidence to suggest that the mean hexane concentration is less in treated than in untreated water, therefore, we have; [tex]\overline x_1[/tex] ≥ [tex]\overline x_2[/tex]
If c varies directly as the square root of d, and c=14, when d = 64, find c when d= 324
Answer:
c = 31.5
Step-by-step explanation:
Given c varies directly as [tex]\sqrt{d}[/tex] then the equation relating them is
c = k[tex]\sqrt{d}[/tex] ← k is the constant of variation
To find k use the condition c = 14 when d = 64, then
14 = k ×[tex]\sqrt{64}[/tex] = 8k ( divide both sides by 8 )
1.75 = k
c = 1.75[tex]\sqrt{d}[/tex] ← equation of variation
When d = 324 , then
c = 1.75 × [tex]\sqrt{324}[/tex] = 1.75 × 18 = 31.5
Urgent help please !!!
Answer:
The answer is A. 3x + 3
Step-by-step explanation:
Umm yea its that
Given the word ACCOMPLISHMENT, what is the ratio of consonants to vowels? Give your answer in simplest form.
Answer:
4:7
Step-by-step explanation:
The word ACCOMPLISHMENT has 4 vowels (A, O, I, and E), which is where I got the four. It also has 7 consonants (C, C, M, P, L, S, H, M, N, T). Hence where the 7 was found.
Executives for a grocery store chain want to survey their employees about a new policy regarding break times. To
get a representative sample of 40 employees, they randomly select 10 people from each of the different job titles at
the store (cashier, bagger, stocker, and manager). Which sampling method was used?
O cluster sampling
O simple random sampling
O stratified random sampling
O systematic random sampling
Answer:
Stratified random
Step-by-step explanation:
got it right
Answer:
C
Step-by-step explanation:
Hallar un par ordenado (x,y) que sea una solución de la ecuación.
6x+y=9
In what direction is the line containing the points (-4, 3) and (-4, 14) going?
A. horizontal
B. vertical
C. up and to the left
D. down and to the right
Answer:
A. horizontal because -4 and -4 are on the same line... it's coordinate planes it's always over then up so your line will be horizontal going from 3 to 14
HURRYYYYY I NEED HELP!!
Answer:
1. adjacent
2. vertical
3. adjacent
4. vertical
Step-by-step explanation:
1. adjacent - 2 angles are next to each other
2. vertical - 2 angles are opposite each other
3. adjacent - 2 angles are next to each other
4. vertical - 2 angles are opposite each other
What is the mean for this list of numbers? 19, 22, 24, 45
Answer:
27.5
Step-by-step explanation:
To find the mean you basically just add all of the numbers then divide by how many there are.
So, for this problem, 19+22+24+45=110
110/4=27.5
Hope this helped!!
CALCULUS: Which of the following functions grows the fastest as x goes to infinity?
A. 2^x
B. ln(x)
C. sin(x)
D. x^20 (I put this my first try & got it wrong)
I believe D is the right answer, but I got it wrong. Can someone please tell me why?
Answer:
It is A. 2^x
Step-by-step explanation:
For relative rates of growth, we know: Log < Poly < Exponential.
This rules out B, C, and D quickly. Although, if you do L'Hôpital's rule, it might seem like A & D are very comparable. However, if you continually took the derivative of 2^x and x^20, eventually x^20 would equal zero, while 2^x would still be a variable. So, you would have:
[tex]\lim_{x \to \infty} \frac{2^{x}}{0} =[/tex] ∞
When the limit of x as it approaches infinity is infinity, then f(x) grows at a faster rate than g(x).
Also, by looking at the graph (which is attached), you can see that 2^x grows faster than x^20.
giving brainliest *easy*
Please help fast! Will give brainliest to first correct answer!
Answer:
1. D
2.C
3.B
4. A
Step-by-step explanation:
:D
Answer:
1. the top one is connected to the bottom
2. is connected to the third one
3. is connected to the second one
4. is connected to the first
Step-by-step explanation:
look below
Explicit formula for
1,5,3,6,12
Choose all of the expressions that can be used to find the volume of the rectangular prism.
Answer:
C. (6 × 5) × 2 = 60 m³
D. 5 × (6 × 2)
E. (2 × 5) × 6
Step-by-step explanation:
Volume of a rectangular prism can be given as, V = L*W*H
L = 6
W = 5
H = 2
However, whichever way we choose to use as either L, W, or H, we would still get the same value as the volume.
Thus:
✔️V = (6 × 5) × 2 = 60 m³
✔️V = 5 × (6 × 2) = 60 m³
✔️V = (2 × 5) × 6 = 60 m³
These are the three expressions that can be used to find the volume.
what is the best way to describe | -2| ?
Answer:
2
Step-by-step explanation:
Inspired by zoom, you want to determine whether there are significant differences in the satisfaction of couples that had their first date in person vs. couples who had their first date virtually. Based on the following satisfaction data (larger values indicate greater satisfaction), conduct an independent samples t-test using (alpha=.01) and an pooled variance. Is there a significant difference?
Virtual Date In person date
X= 23.76 X= 34.54
s2 = 123.43 s2 = 105.65
n = 5 n = 20
A) Write the null and alternative hypotheses in symbols
B) What is your critical value?
C) What's your pooled variance?
D) What's your standard error?
E) What's your obtained t?
Answer:
A) The null hypothesis is H₀; [tex]\overline x_1[/tex] = [tex]\overline x_2[/tex]
The alternative hypothesis is Hₐ; [tex]\overline x_1[/tex] ≠ [tex]\overline x_2[/tex]
B) The critical value is 4.604
C) The pooled variance is 11,870.2777
D) The standard error is-0.2321
E) The obtained is -0.2040
Step-by-step explanation:
The given values are;
[tex]\overline x_1[/tex] = 23.76, [tex]\overline x_2[/tex] = 34.54
s₁ = 123.43, s₂ = 105.65
n₁ = 5, n₂ = 20
A) The null hypothesis, H₀; [tex]\overline x_1[/tex] = [tex]\overline x_2[/tex]
The alternative hypothesis, Hₐ; [tex]\overline x_1[/tex] ≠ [tex]\overline x_2[/tex]
B) The degrees of freedom, df = 4 - 1 = 3
The critical t-value is given at α = 0.01 is given on the t-table for two tailed test as t = 4.604
C) The pooled variance is given by the following formula;
[tex]S_P^2 = \dfrac{(n_1 - 1) \cdot s_1^2 + (n_2-1) \cdot s_2^2}{n_1 + n_2 - 2 }[/tex]
Plugging in the values gives;
[tex]S_P^2 = \dfrac{(5 - 1) \cdot 123.43^2 + (20-1) \cdot 105.65^2}{5+ 20 - 2 } = 11,870.2777[/tex]
The pooled variance, [tex]s_p^2[/tex] = 11,870.2777
D) The standard error, SE, is given as follows;
[tex]t=\dfrac{(\bar x_{1}-\bar x_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
Therefore, we get;
[tex]t=\dfrac{(23.76-35.34)}{\sqrt{\dfrac{123.43^{2} }{5}-\dfrac{105.65^{2}}{20}}} = -0.2321[/tex]
The standard error, SE ≈ -0.2321
E) The obtained 't' is given as follows;
[tex]\sigma _{\overline x_1 - \overline x_2} = \sqrt{\dfrac{s_1^2}{n_1-1} +\dfrac{s_2^2}{n_2-1} }[/tex]
Therefore, we have;
[tex]\sigma _{\overline x_1 - \overline x_2} = \sqrt{\dfrac{123.43^2}{5-1} +\dfrac{105.65^2}{20-1} } \approx 56.7564[/tex]
The obtained t is given as follows;
[tex]t(Obtained)=\dfrac{(\bar x_{1}-\bar x_{2})}{\sigma _{\overline x_1 - \overline x_2} }[/tex]
Therefore, we get;
[tex]t(Obtained)=\dfrac{(23.76-34.54)}{56.7564} \approx -0.2040[/tex]
The obtained t = -0.2040
The inspection division of the Lee County Weights μ. and Measures Department is interested in estimatin actual amount of soft drink that is placed in 2- to at the local bottling plant of a large nationally tles known soft-drink company. The bottling plant has ision that the standard deviation for 2-liter bottles is 0.05 liter. A random sanm ple of 100 2-liter bottles obtained from this botting plant indicates a sample average of 1.99 liters Section 8 (a) Set up a 95% confidence interval estimate of the (b) Does the population of soft-drink fill have to be (c) Explain why an observed value of 2.02 liters is not true average amount of soft drink in each bottle. normally distributed here? Explain. 8. unusual, even though it is outside the confidence interval you calculated. uppose that the sample average had been 1.97 liters. What would be your answer to (a)?
Answer:
hello your question is poorly written attached below is the complete question
answer
a) ( 1.9802 , 1.9998 )
b) The population of soft drink does not have to be normally distributed in order to calculate the confidence interval for a sample mean.
c) A single value of 2.02 is not unusual
d) (1.9602, 1.9798)
Step-by-step explanation:
A) set up 95% confidence interval estimate
std = 0.05 liter
average ( mean ) X = 1.99 liters
n = 100
95% confidence interval = X ± [tex]Z_{95%}[/tex] ( std / √n )
= 1.99 ± 1.96 ( 0.05 / √100 )
= ( 1.9802 , 1.9998 )
B) The population of soft drink does not have to be normally distributed in order to calculate the confidence interval for a sample mean. as seen in this scenerio the value of n > 30 and sampling distribution of X is required instead
C) A single value of 2.02 is not unusual because the confidence interval we calculated above is for 100 samples of the soft drink ( using true population mean ) but when we calculate for a one sample we will observe that the value ( 2.02 ) will not be unusual e.g. ( 2 ± 2*0.05 ) = ( 1.9, 2.1 )
D) when the sample average ( X ) = 1.97
confidence interval = X ± [tex]Z_{95%}[/tex] ( std / √n )
= 1.97 ± 1.96 ( 0.05 / √100 )
= (1.9602, 1.9798)
There are four sub-parts in the question, whose answers are mentioned below:
Given information:
Mean of sample = [tex]\overline{x}[/tex] =1.99
Standard deviation of population= [tex]\sigma[/tex] = 0.05
Size of sample = n = 100
Part a: Setting 95% confidence interval
[tex]CI = \overline{x} \: \pm Z_{0.95}\dfrac{\sigma}{\sqrt{n}}\\CI = 1.99 \pm 1.96 \times \dfrac{0.05}{10}\\CI = (1.9802, 1.9998)\\[/tex]
Part b: Yes, the population has to be normally distributed here, since the CI here cannot be calculated without it being normally distributed.
Part c: It is because we took n = 100 and not for single value of observation. The single value of observation has 2 liter or value is 2, and 2.02 is near 2 thus not an unusual value.
Part d: If sample average be 1.97, then CI will be as follows:
[tex]CI = \overline{x} \: \pm Z_{0.95}\dfrac{\sigma}{\sqrt{n}}\\CI = 1.97 \pm 1.96 \times \dfrac{0.05}{10}\\CI = (1.9602, 1.9798)\\[/tex]
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There were 20 boys and 26 girls in a chess club last year. This year the number of boys increased by 30% but the number of girls decreased by 15%. Was there an increase or
decrease in overall membership?
Step-by-step explanation:
Boys
[tex]20 + (20 \div 100)30 = \\ = 20 + 0.2 \times 30 = \\ = 20 + 6 = \\26[/tex]
Girls
[tex]26 - (26 \div 100)15 = \\ = 26 - 0.26 \times 15 = \\ = 26 - 3.9 = \\ = 22[/tex]
Total last year 46
Total this year 48
Increase
how do you write 76% as a fraction
Answer:
76/100 or simplified into 19/25
Answer:
Step-by-step explanation:
76/100
Columbia County needs 757 pieces of pipe to repair some water lines. If each box contains 3 pieces of pipe, how many boxes should the county buy?
Answer:
253 boxes
Step-by-step explanation:
757/3 = 252.33
Derek and his friend share two small pizzas Derek ate 7/6 of the pizzas which mixed number shows how much pizza Derek ate