Find the value of t for the given values of d and r. d = 286, r = 55
A pharmaceutical manufacturer is concerned that the impurity concentration in pills should not exceed 3%. It is known that from a particular production run impurity concentrations follow a normal distribution with a standard deviation of 0.4%. A random sample of 64 pills from a production run was checked, and the sample mean impurity concentration was found to be 3.07%. Testing at the 5% level the null hypothesis that the population mean impurity concentration is 3% against the alternative that it is more than 3%.
a. Calculate the p-value for this test.
b. Find the p-value for this test and draw your conclusion.
c. Suppose that the alternative hypothesis in part b had been two-sided rather than one-sided. Conduct your test using either the critical value or the p-value approach.
Answer:
c
Step-by-step explanation:
Marl me as brainliest answer c
The p-value for the given test is 0.0901.
Given that, a pharmaceutical manufacturer is concerned that the impurity concentration in pills should not exceed 3%.
What is a standard deviation?Standard deviation is the degree of dispersion or the scatter of the data points relative to its mean, in descriptive statistics.
Given, Mean = 3.07, μ=3%, σ =0.4% and n=64.
Hypothesis test [tex]H_{0}[/tex];μ=3 and [tex]H_{1}[/tex];μ>3
We need to test the null hypothesis against the alternative hypothesis, we reject the null hypothesis and accept the alternative hypothesis.
When x>x critical
x critical = μ+Z+σ
Z = (x-μ)/(σ/√n)
= (3.07-3)/(0.4/√64)
= (0.07)/0.05
= 1.4
α = 5 and [tex]z_{0.05[/tex]= 1.645
If Z>[tex]Z_{0.05[/tex]
1.4 > 1.645
Therefore, we do not reject null hypothesis at 5% significant level.
There is sufficient evidence that the mean impurity in concentration pills is 3% or less than 3%.
p-value
p−value=P(Z>1.4)
=1−P(Z<1.4)
=1−0.90988
=0.0901
Therefore, the p-value for the given test is 0.0901.
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Solve the exponential equation by the method of relating the bases, first rewriting the equation in the form
Answer:
x = 1/3
Step-by-step explanation:
Both bases can be written as powers of 6.
36^x = (1/6)^(x-1) . . . . . . given
(6^2)^x = (6^-1)^(x -1) . . . . . bases as powers of 6
6^(2x) = 6^(-x+1) . . . . . . . . . simplify exponents
2x = -x +1 . . . . . . . . . . . . . . . .equate exponents of the same base
3x = 1 . . . . . . . add x
x = 1/3 . . . . . divide by 3
A riverboat travels 54 km downstream in 2 hours. It travels 57 km upstream in 3 hours. Find the speed of the boat and the speed of the stream
Here we must write and solve a system of equations to find the speed of the boat and the speed of the stream. We will find that the boat's speed is 23km/h and the river's speed is 4km/h.
First, remember the relation:
Distance = Speed*Time.
Now let's define the variables we will be using:
B = boat's speedR = river's speed.When the boat travels downstream, the total speed of the boat is the speed of the boat plus the speed of the river, and we know that in that case it travels 54km in 2 hours, then:
54km = (B + R)*2h
When the boat travels upstream, we must subtract the speed of the river. In that case, we know that the boat travels 57km in 3 hours, then we have:
57km = (B - R)*3h
Then our system of equations is:
54km = (B + R)*2h
57km = (B - R)*3h
To solve this, first, we need to isolate one of the variables in one of the equations, let's isolate B in the second one:
57km = (B - R)*3h
57km/3h + R = B
19 km/h + R = B
Now we can replace that in the other equation:
54km = (B + R)*2h
54km/2h = B + R
27 km/h = B + R = (19 km/h + R) + R
Now we can solve this for R:
27 km/h = 19km/h + 2*R
27 km/h - 19km/h = 2*R
8 km/h = 2*R
(8km/h)/2 = 4km/h = R
Now that we know the value of R, we can use:
B = 19 km/h + R = 19 km/h + 4km/h = 23 km/h
So the boat's speed is 23km/h and the river's speed is 4km/h.
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basically almost finished it just stuck on the last part. The angle of elevation to a nearby tree from a point on the ground is
measured to be 46°. How tall is the tree if the point on the ground is 12 feetfrom the tree? Round your answer to the nearest tenth of a foot if necessary.
Answer:
12.4 ft
Step-by-step explanation:
Everything is done right so far.
Now to calculate the height of the tree, 12tan46, put the equation into a calculator.
Either a graphing calculator (make sure it is in degrees, not radians),
or the one on your phone (turn your phone landscape in the calculator app to get the trig functions.))
12tan46= 12.4 ft
Mark each equation with the number that makes it true!
Answer:
Check step-by-step
Step-by-step explanation:
18 + s = 33 = (15)
27 = 9 • s = (3)
40 - s = 23 = (17)
5 • m = 35 = (7)
18/s = 3 = (6)
m/5 = 10 = (50)
m + 14 = 18 - m= (2)
m + m + 12 = 22 (5)
n + 7 = 18 (11)
n - 9 = 22 (31)
Have A good day! Let me know if this helps!
19.1 x 8.6 step by step.
Answer:
The is answer is 19.1x8.6= 164.26
Step-by-step explanation:
Find the equation of the line passing
through the points (4, 2) and (6,10).
y = [ ? ]x + [ ]
Answer:
y = 4x -14
Step-by-step explanation:
The required answer form is slope-intercept form, so we need the slope and the y-intercept of the line.
The slope equation is ...
m = (y2 -y1)/(x2 -x1)
m = (10 -2)/(6 -4) = 8/2 = 4
The y-intercept equation is ...
b = y - mx
b = 2 -4(4) = -14
The equation of the line is y = 4x -14.
Your class rank in 2018 was 89 out of 360 students. In 2019 your class rank was 95 out of 450 students. a. In which year did you have the higher percentile ranking. b. If you had the data on the cumulative GPA of each student at the end of the spring semester in 2018, which measure of average would be the most meaningful – mean, median, mode? Explain
A) given that in 2019 you were among the 21.11% of the best students in the class, in that year you had the higher percentile ranking, and B) the measure of average that would be the most meaningful is the median.
Given that your class rank in 2018 was 89 out of 360 students, while in 2019 your class rank was 95 out of 450 students, to determine A) in which year did you have the higher percentile ranking, and B) if you had the data on the cumulative GPA of each student at the end of the spring semester in 2018, which measure of average would be the most meaningful - mean, median or mode -, the following calculation should be performed:
360 = 100 89 = X 89 x 100/360 = X 24.72 = X 450 = 100 95 = X 95 x 100/450 = X 21.11 = X
Therefore, A) given that in 2019 you were among the 21.11% of the best students in the class, in that year you had the higher percentile ranking, and B) the measure of average that would be the most meaningful is the median.
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It takes 10 hours to type 4 reports how many hours does it take to type 15 reports
Answer:37.5 hrs
Step-by-step explanation:
15/4 = 3.75
3.75*10=37.5
The answer is 37.5 hours
Find a coordinate on the line.
y - 5 = 8(x + 2)
Question 3 options:
(8, 2)
(2, -5)
(-2, 5)
(-5, 2)
Answer:
(-2,5)
Step-by-step explanation:
HELPPPP PLEASE I will give brainliest and I put it up for 100 points
..................✨✨✨✨✨✨✨✨✨✨✨✨✨✨
Answer:
2xz⁵/y⁴Step-by-step explanation:
Given expression:
[tex]\frac{16x^2yz^{13}}{8xy^5z^8}[/tex]Simplify considering like terms:
16/8 = 2x²/x = xy/y⁵ = 1/y⁴z¹³/z⁸ = z⁵The simplified expression is:
2xz⁵/y⁴Determine whether each graph shows a positive correlation, a negative
correlation, or no correlation. If there is a positive or negative correlation,
describe its meaning in the situation.
Answer:
\huge\purple{ 〇 }〇 \huge\blue{ △ }△ \huge\orange{ ☆ }☆ \huge\pink{ ☂ }☂ \huge\purple{ 〇 }〇 \huge\blue{ △ }△ \huge\orange{ ☆ }☆ \huge\pink{ ☂ }☂ \huge\purple{ 〇 }〇 \huge\blue{ △ }△ \huge\orange{ ☆ }☆ \huge\pink{ ☂ }☂ \huge\purple{ 〇 }〇 \huge\blue{ △ }△ \huge\orange{ ☆ }☆ \huge\pink{ ☂ }☂ \huge\purple{ 〇 }〇 \huge\blue{ △ }△ \huge\orange{ ☆ }☆ \huge\pink{ ☂ }☂ \huge\purple{ 〇 }〇 \huge\blue{ △ }△ \huge\orange{ ☆ }☆ \huge\pink{ ☂ }☂ \huge\purple{ 〇 }〇 \huge\blue{ △ }△ \huge\orange{ ☆ }☆ \huge\pink{ ☂ }☂ \huge\purple{ 〇 }〇 \huge\blue{ △ }△ \huge\orange{ ☆ }☆ \huge\pink{ ☂ }☂
Answer:
Negative correlation
Step-by-step explanation:
As TV hours increase, exercise hours decrease.
How much money will you spend on these items? Round to the nearest cent.
Shopping List:
2.75 pounds of grapes.
0.8 pounds of garlic
The grapes are $0.89 per pound.
The Garlic is $0.34 per pound. Please Help
Answer:
$2.72
Step-by-step explanation:
2.74x0.89=2.4475
0.8x0.34=0.272
2.447+0.272=2.719, rounded is 2.72
The property taxes on a house were $600. What was the tax rate if the house was valued at $100,000? Follow the problem solving and round your answer to the nearest hundredth of a percent, if necessary.
Based on the information given the tax rate if the house was valued at $100,000 is 60%.
Let $600= x%
Let $100,000=100%
Let the tax rate=x
Proportion:
600/100,000=x/100
Hence,
x=600×100/100,000
x=60,000/100,000
x=60/100
x=0.6%×100
x=60%
Inconclusion the tax rate if the house was valued at $100,000 is 60%.
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The tax rate of a house valued at $100,000 with a property tax of $600 is 0.6%. or $6 per $1,000 of property value.
What is property tax?The property tax is the levy imposed on the assessed value of the property of an individual or corporation.
Property tax is usually levied as a percentage of the assessed value.
Data and Calculations:Property tax = $600
House value - $100,000
Tax rate = 0.6% ($600/$100,000 x 100)
Thus, the tax rate of a house valued at $100,000 with a property tax of $600 is 0.6%. or $6 per $1,000 of property value.
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How do you solve for x?
[tex] log_{6}(36) = 5x + 6[/tex]
[tex]\huge \rm༆ Answer ༄[/tex]
The value of x is ~
[tex] -0.8 [/tex][tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve for x ~
[tex] \sf \: log_{6}(36) = 5x + 6[/tex][tex] 2 = 5x + 6[/tex][tex]5x = 2 - 6[/tex][tex]x = - 4 \div 5[/tex][tex]x = - 0.8[/tex]I hope it helped ~
[tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]
The value of x in the given equation is [tex]-\frac{4}{5}[/tex]
From the question,
We are to solve the given equation
The given equation is
[tex]log_{6}(36) = 5x +6[/tex]
This becomes
[tex]log_{6}(6^{2} ) = 5x +6[/tex]
From one of the laws of logarithms, we have that
[tex]log_{x}(x^{2} ) = 2log_{x}(x)[/tex]
and
[tex]log_{x}(x) = 1[/tex]
∴ [tex]log_{6}(6^{2} ) = 5x +6[/tex] becomes
[tex]2log_{6}(6) = 5x +6[/tex]
and
[tex]2(1)= 5x +6[/tex]
[tex]2 = 5x +6[/tex]
Now, subtract 6 from both sides
[tex]2-6 = 5x +6-6[/tex]
[tex]-4 = 5x[/tex]
∴ [tex]x = -\frac{4}{5}[/tex]
Hence, the value of x in the given equation is [tex]-\frac{4}{5}[/tex]
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Mrs Boswell is ordering cookies from a bakery for her daughter’s eighth grade graduation party she uses a table to figure out how many cookies to order
Answer:
I'm pretty sure the answer is B, I hope this helps!
Which expression is equivalent to 8.2 + 14 + 9x – 5?
A. 260
B. 362
C. 172 +9
D. 170 +19. HELPPPPP
Answer:
C
Step-by-step explanation:
i need a points point muna
i need help with this problem ;-;
Need help asap! Pls
Here is my solution, I hope it is helpful.
Answer:
x = 15
Step-by-step explanation:
The table below shows the number of tadpoles in a pond after a certain number of months.
PLEASE HELP
===================================================
Explanation:
x = number of monthsy = number of tadpolesHighlight the rows that correspond to 6 months and 10 months.
This leads to the two points (6,330) and (10,460).
Apply the slope formula. This is because the slope is the average rate of change.
m = (y2-y1)/(x2-x1)
m = (460-330)/(10-6)
m = 130/4
m = 32.5
This is the average rate of change from month 6 to month 10.
Let A = 32.5 so we can compare it later.
---------------------------
Now let's focus on months 4 and 8
We get the two points (4, 300) and (8, 410)
Use the slope formula again
m = (y2-y1)/(x2-x1)
m = (410-300)/(8-4)
m = 110/4
m = 27.5
Let B = 27.5
--------------------------
For the third answer choice, we have the points (2,240) and (8,410)
Once again, use the slope formula.
m = (y2-y1)/(x2-x1)
m = (410-240)/(8-2)
m = 170/6
m = 28.33 approximately
Let C = 28.33
--------------------------
Lastly for choice D we have the points (4,300) and (10,460)
So,
m = (y2-y1)/(x2-x1)
m = (460-300)/(10-4)
m = 160/6
m = 26.67 approximately
Let D = 26.67
--------------------------
To recap everything, we found these four average rates of change for choices A through D
A = 32.5B = 27.5C = 28.33 (approximate)D = 26.67 (approximate)We see that A is the largest of that group. Therefore, the greatest average rate of change of that group is from month 6 to month 10. This is why choice A is the final answer.
f(x) = x2. What is g(x)?
Answer:
the answer is A. g(x) = -x^2 - 4
Step-by-step explanation:
hope this helps! :)
According to the distributive property, 6(a + b) = ma
Answer:
6a+6b=ma
?? Not 100% sure, so have someone else answer please too
please help ill mark brainliest
The value of the missing length is 20
Let the missing length be x
From Parallel lines and transversal theorem, we have that
If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.
Then, we can write that
[tex]\frac{x}{15} =\frac{16}{12}[/tex]
∴ [tex]x = \frac{15\times 16}{12}[/tex]
x = 20
Hence, the value of the missing length is 20
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Please helpppp quick
A motorboat moves across a lake at a constant speed. When it begins, it is 28
km from the shore. After 12 minutes, it is 4 km from the shore. Which
function describes the motorboat's distance from the shore?
O A. y=-12x+28
B. y=-2x + 28
c. y = 2x+28
D. y = 12x + 28
Answer: B. y= -2x+28
Steps:
In the equation, take,"y" as result of the distance of the motorboat from the shore.
Now take the "x" value as the time taken. And hold the unit of x as 12 because you already know that in 12 minutes the motorboat is 4km far from the shore. Then solve the four equations and find out which ones value of,"y" comes 4
After doing all the equations i m pretty sure you will that B. y= -2x + 28
y= -2 * 12 + 28
y= -24+28
y= 4
Answer:
The answer is B
Step-by-step explanation:
Find the value of x.
950°
1280°
60°
x°
Answer:
x=77
Step-by-step explanation:
128+95+60+x=360
283+x=360
x=77
A part-time handyman made $8798.04 last year. If he claimed himself as an
exemption for $3650 and had a $5700 standard deduction, what was his
taxable income last year?
Answer: HIs income was $6744.04
Step-by-step explanation: 8798.04 + 3650 - 5700 = 6744.04 Hope this helps!
The taxable income last year is $552.
What is Compound Interest?The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It from simdiffers ple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest.
We have,
Last year, a part-time housekeeper earned $8798.
He claimed he was exempt, costing $365.
$570.00 is the standard deduction.
Gross income less the standard deduction and all exemptions equals taxable income.
= 8798 - 3650 - 5700
= $-552
The negative sign indicates that he owes no taxes.
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Please can u help me with this question
[tex]a) \\\\\dfrac {2x}{3} =8 \\\\\implies 2x = 8 \times 3 = 24\\\\\implies x = \dfrac{24}2 = 12\\\\b)\\\\\dfrac{3x}2 = 6\\\\\implies 3x = 6\times 2 = 12\\\\\implies x = \dfrac{12}3 =4[/tex]
The sum of 7/8 of a number and 20 is 34 at minimum
Answer:
7/8x ≥ 14
Step-by-step explanation:
(sum means addition in case you forgot)
You would start by writing 7/8x + 20 ≥ 34
You would then subtract 20 from both sides to isolate the variable x.
You would then have 7/8x ≥ 14
