The 99[tex]\%[/tex] confidence interval for the difference between the mean yields for the two fertilizers is (32.11, 93.89).
A confidence interval is a range of values that provides an estimate of the unknown population parameter with a certain level of confidence.
Given that
Sample 1:
Sample mean, [tex]\bar{X_1}[/tex] = 457,
Sample size, [tex]n_1[/tex] = 18,
Standard deviation, [tex]s_1[/tex] = 38.
Sample 2:
Sample mean, [tex]\bar{X_2}[/tex] = 394,
Sample size, [tex]n_2[/tex] = 18,
Standard deviation, [tex]s_2[/tex] = 23.
Point estimate = [tex]\bar{X_1}[/tex] - [tex]\bar{X_2}[/tex]
= 457 - 394
= 63.
[tex]Standard Error=\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} }\\[/tex]
[tex]=\sqrt{\frac{38^2}{18}+\frac{23^2}{18} }\\=11.14924[/tex].
Level of significance, α = 0.01 (given that 99[tex]\%[/tex] confidence interval).
Degrees of freedom = [tex]\dfrac{(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2})^2 }{\frac{(\frac{s_1^2}{n_1})^2}{n_1-1} + \frac{(\frac{s_2^2}{n_2})^2}{n_2-1} }[/tex] = 28.
Critical values:
[tex]t_\frac{\alpha}{2} = \pm2.771[/tex]
The confidence interval is
[tex](\bar{X_1}-\bar{X_2})\pm t_\frac{\alpha}{2}\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} }[/tex]
[tex]= 63 \pm 2.771 \times 11.14924\\=63 \pm 30.89\\=(63-30.89,63+30.89)\\=(32.11,93.89)[/tex]
Hence, the confidence interval is (32.11, 93.89).
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what does 4n+3(n-5)+2 equal
Answer:
7n-13
Step-by-step explanation:
Simplify
4n+3(n-5)+2
4n+3n-15+2
Add The Numbers
4n+3n-15+2
4n+3n-13
Combine Like Terms
4n+3n-13
7n-13 Solution 7n-13
In the diagram, JK || GI. If the ratio of HJ to JG is 3 to 1, then what is the ratio of HK to KI?
The expression JK||GI implies line JK and GI are parallel lines
The ratio of HK : KI is 3 : 1
What is a ratio?A ratio is used to show the relationship between two related quantities
How to determine the ratio?The given parameter is:
HJ : JG = 3 : 1
Given that JK||GI , then it means that:
HJ : JG = HK : KI
This gives
HK : KI = 3 : 1
Hence, the ratio of HK : KI is 3 : 1
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lan makes 60 cakes.
He gives à of the cakes to Helen.
He gives 20% of the 60 cakes to Sue.
What fraction of the 60 cakes does he have left?
Answer:
4/5
Step-by-step explanation:
there are 5 20s in 100 so 20 % is equal 1/5 so take 1/5 away and you get 4/5
Daniel opened a savings account with $1600 that pays no interest. He deposits an additional $200 each week thereafter. How much money would Daniel have in the account 25 weeks after opening the account?
Determine the measure of angle C using a trigonometric ratio.
Answer:
34.836
Step-by-step explanation:
sin(C)=opp/hyp=16/28=4/7
C= inverse sin = 34.836 deg
The angle of the right-angled triangle using trigonometric ratio is 34.84°.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
The diagram shows the right-angled triangle.
The hypotenuse side, h = 28
The perpendicular side, p =16
The trigonometric ratio that relates hypotenuse side and the perpendicular side is sine θ.
[tex]Sine \theta=\frac{perpendicular}{hypotenuse}[/tex]
⇒ [tex]Sine\theta = \frac{16}{28}[/tex]
⇒ [tex]Sine \theta=0.5714[/tex]
⇒ [tex]\theta = Sine^{-1} (0.5714)[/tex]
⇒ [tex]\theta = 34.84[/tex]
Hence we can conclude that the angle of the right-angled triangle using trigonometric ratio is 34.84°.
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Which of the following equations represents a line that is parallel to the line 1 point
with the equation below?*
y = -3x +4
A. 6x+2y=15
B. 3x-y=7
C. 2x-3y=6
D. X+3y=1
Step-by-step explanation:
step 1. I assume the question is which of the following equations is parallel to y = -3x + 4
step 2. parallel equation have identical slopes (m)
step 3. 6x + 2y = 15 or y = -3x + 15/2 (solve for y)
step 4. 3x - y = 7 or y = 3x - 7 (solve for y)
step 5. 2x - 3y = 6 or y = (2/3)x - 2 (solve for y)
step 6. x + 3y = 1 or y = (-1/3)x + 1/3
step 7. since y = mx + b we want m to be the same
step 8. the answer is A since they both have the same slope.
what is the opposite of –|−8|?
Answer:
it should be |8| or just 8 because there can not be a negative in the absolute value sign. pretty sure but not 100%
Answer:
|8|
Step-by-step explanation:
that is your answer :D
A simple random sample of 140 residents in a certain town was polled the week after the Super Bowl. 75 of them reported that they watched the game on TV. a) Construct the 95% CI for the proportion of people that watched Super Bowl. b) The prognosis stated that the proportion of people watching the game is 48.1%. Does this prognosis contradict your findings
Answer:
a) The 95% CI for the proportion of people that watched Super Bowl is (0.4531, 0.6183).
b) 48.1% = 0.481 is part of the confidence interval, which means that this prognosis does not contradict the findings.
Step-by-step explanation:
a) Construct the 95% CI for the proportion of people that watched Super Bowl.
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].
75 out of 140 watched the Super Bowl:
This means that [tex]n = 140, \pi = \frac{75}{140} = 0.5357[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5357 - 1.96\sqrt{\frac{0.5357*0.4643}{140}} = 0.4531[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5357 + 1.96\sqrt{\frac{0.5357*0.4643}{140}} = 0.6183[/tex]
The 95% CI for the proportion of people that watched Super Bowl is (0.4531, 0.6183).
b) The prognosis stated that the proportion of people watching the game is 48.1%. Does this prognosis contradict your findings
48.1% = 0.481 is part of the confidence interval, which means that this prognosis does not contradict the findings.
A school needs to buy new notebook
and desktop computers for its
computer lab. The notebook
computers cost $400 each, and the
laptop
computers cost $150 each. How
much would it cost to buy 13
notebooks and 19 desktop
computers? How much would it cost
to buy
n notebooks and d desktop
computers?
Total cost, 13 notebooks and 19
desktop computers:
Total cost, n notebooks and d desktop
computers:
Answer:
so if they need 400 nc and they need 13 you need to multiply which is 5200 alr now same thing with the other 150 and they need 19 you get 2850 now all together you get that's 8050 hope this helped
solve for X
please answer will give brainliest!!!
Find the exact value of cos A in simplest radical form.
inequalities
16 + j ≥ 29; 13, 12, 11
show work
Given the equation 2 Square root of x minus 5 = 2, solve for x and identify if it is an extraneous solution
Answer:
Step-by-step explanation:
2√(x-5) = 2
√(x-5) = 1
x-5 = 1
x = 6
A closing is March 5 for a rental property with an annual tax bill of $2800. Calculate and show the debit and credits for the tax proration between the buyer and seller using the 365 day method, the day of closing belongs to the buyer.
Answer:
The debit and credits for the tax proration will be as follows:
Debit seller for $483.29; and Credit buyer for $483.29.
Step-by-step explanation:
The assignment of how much is owed to the responsible party is the major reason of a proration.
For the days owned by the seller, the buyer needs money from the seller since the buyer will pay the taxes at end of the year.
Amount per day = Annual tax bill / 365 = $2800 / 365 = $7.67
Total number of days from January 1 to a day before March 5 = Number of days in January + Number of days in February + Number of days from March 1 to March 4 = 31 + 28 + 4 = 63
Amount the seller owes for the time he owned = Amount per day * Total number of days from January 1 to a day before March 5 = $7.67 * 63 = $483.29
Therefore, the debit and credits for the tax proration will be as follows:
Debit seller for $483.29; and Credit buyer for $483.29.
what is the value expression 26+22÷12 pls help me
Answer:
As a decimal : 27.833
As a fraction : 167/6
Step-by-step explanation:
26 + 22/12
=
26/1 + 22/12
=
26/1 + 11/6
=
156/6 + 11/6
156 + 11 / 6
=
167/6
or as a decimal 27.833
Hope this helps!
my work is down below.Please answer it!
Answer:
1. A≈ 78.54
2. A≈201.06
Step-by-step explanation:
1) A=πr2=π·52≈78.53982
2)
A=1
4πd2=1
4·π·162≈201.06193
3. What is the value ofy?
A. 3
C. 6
B. 8
D. 12
Find the measure of:
Answer:
4.8x10
Step-by-step explanation:
6 tickets for 48.00 dollars what is the unit price?
Answer:
8
Step-by-step explanation:
that's a six tickets for $48 there for F1 tickets we don't know the price of each ticket...divide 48/6
Recall the study about anchoring , in which students estimated the population of Milwaukee aft er some had been told about Chicago and others about Green Bay.
a. Describe in words the parameter(s) of interest in the context of this study.
b. In the context of the parameter(s) described in part (a), express the null and alternative hypotheses for testing whether the class data give strong evidence in support of the anchoring phenomenon described above. If you use symbols, make sure to defi ne them.
c. Check whether the conditions for the validity of the theory-based t-test to compare two means are satisfi ed here.
d. Use appropriate technology (an applet or a statistical soft - ware package) to conduct a t-test of signifi cance of the hypotheses that you stated in part (b). Report the test statistic and p-value.
e. State your conclusion in the context of the study, being sure to comment on statistical signifi cance.
f. Determine and interpret the 95% confi dence interval using a theory-based approach for the parameter(s) of interest in the context of the study.
g. Comment on causation and generalization for this study.
Answer:
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Step-by-step expleanation:
tgdwtydttfdtydfdsgfdgfdsvsfvgffgfg fg fg f gf gfg
fg
fg
g
fg
f
If a blue and a red dice are rolled, what is the probability of rolling a sum greater than 4?
Answer:
33/36 or 11/12
Step-by-step explanation:
Answer:
The "successful" rolls are 5 and 6. That's two out of six choices, so the probability is 2/6 or 1/3.
Step-by-step explanation:
Hope this helps!!! <3
Using Heron's Formula, find the Area.
Sides are 7 13 8
Answer:
10.3
Step-by-step explanation:
hope this helps, if any genius answers as well, give brainliest to them
Answer:
[tex]\Huge\boxed{A=24.25}[/tex]
Step-by-step explanation:
Herons Formula:
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
where s = semi perimeter ( perimeter of triangle divided by 2)
and a,b and c = triangle side lengths
Before we can solve we need to calculate the semi perimeter
7 + 13 + 8 = 28
then we divide by 2
28/2=14
so the semi perimeter is 14
now we plug in everything into the formula
[tex]A=\sqrt{14(14-13)(14-8)(14-7)} \\14 - 13=1\\14-7=7\\14-8=6\\A=\sqrt{14(1)(6)(7)} \\14*1=14\\14*7=98\\98*6=588\\A=\sqrt{588} \\\sqrt{588} =24.24871131[/tex]
so we can conclude that the area of the triangle is 24.24871131
our final step is to round to the nearest hundredth
A = 24.25
PLEASE HELP I WILL GIVE BRANLIEST IF YOUR ANSWER IS CORRECT!
Answer:
1:4
2:8
3:12
4:16
Step-by-step explanation:
which expression is equivalent to 5 ^6
Answer:c
Step-by-step explanation:i tookthe test
125*125, since its 5*5*5*5*5*5
Please help I put a screenshot of the assignment
Answer:
78.5ft^2
Step-by-step explanation:
calculations done on a calculator
Answer:
78.5
Step-by-step explanation:
4 x 2.5 = 10 ft
4.5 x 2.5 = 11.25
4.5 x 4 = 18
18 + 10 + 11.25 = 39.25
39.25 x 2 = 78.5
Please help I’ll mark you as brainliest if correct!
Find the distance between the points (-5,5) and (-6,-4).
Answer:
distance = 9.06 units
Step-by-step explanation:
x difference = -1
y difference = -9
using the Pythagorean theorem:
-1² + -9² = d²
d² = 1 + 81 = 82
d = 9.06
[tex] \frac{12x + 40}{8x} \div \frac{24x + 80}{8} [/tex]
what are the steps to solving this?
Write the fraction 28 in its simplest form.
70
Answer: 2/5
Step-by-step explanation: 28/70 ÷ 12/12 = 2/5
The simplest form of the given fraction is 2 / 5
What is a fraction?A fraction represents part of a whole. When something is broken up into a number of parts, the fraction shows how many of those parts you have.
Given is a fraction, 28 / 70, we have to convert it into its simplest form,
28 / 70
= 2(14) / 5(14)
= 2 / 5
Hence, the simplest form of the given fraction is 2 / 5
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Solve the equation please
Answer:
y = 14
Step-by-step explanation:
| y + 3 | = 17
simplify:
y + 3 = 17
subtract 3 on both sides:
y + 3 - 3 = 17 - 3
y = 14