Answer:
Step-by-step explanation:
Given that:
[tex]H_o: \mu \ge 55 \ \\ \\ H_1 : \mu < 55[/tex]
(a) For x = 54 and s = 5.3
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]
[tex]Z = \dfrac{54-55}{\dfrac{5.3}{\sqrt{36}} }[/tex]
[tex]Z = \dfrac{-1}{\dfrac{5.3}{6} }[/tex]
Z = -1.132
degree of freedom = n - 1
= 36 - 1
= 35
Using the Excel Formula:
P-Value = T.DIST(-1.132,35,1) = 0.1326
Decision: p-value is greater than significance level; do not reject [tex]\mathbf{H_o}[/tex]
[tex]Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \[/tex] [tex]\mu < 55[/tex]
b
For x = 53 and s = 4.6
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]
[tex]Z = \dfrac{53-55}{\dfrac{4.6}{\sqrt{36}} }[/tex]
[tex]Z = \dfrac{-2}{\dfrac{4.6}{6} }[/tex]
Z = -2.6087
degree of freedom = n - 1
= 36 - 1
= 35
Using the Excel Formula:
P-Value = T.DIST(-2.6087,35,1) =0.0066
Decision: p-value is < significance level; we reject the null hypothesis.
[tex]Conclusion: \ There \ is \ sufficient \ evidence \ to \ conclude \ that[/tex] [tex]\mu < 55[/tex]
c)
For x = 56 and s = 5.0
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]
[tex]Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }[/tex]
[tex]Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }[/tex]
Z = 1.2
degree of freedom = n - 1
= 36 - 1
= 35
Using the Excel Formula:
P-Value = T.DIST(1.2,35,1) = 0.88009
Decision: p-value is greater than significance level; do not reject [tex]\mathbf{H_o}[/tex]
[tex]Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \[/tex] [tex]\mu < 55[/tex]
What is the volume?
1 mm
1 mm
1 m
Answer:
1mm
Step-by-step explanation:
1 × 1 × 1
good luck, i hope this helps :)
Answer:
1 m (milliliter)
Step-by-step explanation:
To find the volume, you need to know the formula for volume
The formula is
length × width × height.
So,
1 mm (length)
x
1 mm (width)
x
1 mm (height)
is 1 mm
Because 1 x 1 x 1 is just 1
Round 8.644 to the nearest tenth
Answer:
8.6
Step-by-step explanation:
8y - 2(y + 4)
Simplify
Answer:
= 6y − 8
Step-by-step explanation:
9A. What equation represents the proportional relationship depicted in the graph
m=money earned and L=lawns mowed.
A. m = 25L
B. L=15m
C. m=25 + L
The dot plots below show the results.
Students
Teachers
Which compares the medians of the data?
The median for the students is 4 and the median for the teachers is 8.
The median for the students is 2 and the median for the teachers is 3.
The median for the students is 4 and the median for the teachers is 3.
The median for the students is 2 and the median for the teachers is 8.
Answer: The median for the students is 2 and the median for the teachers is 3.
Step-by-step explanation:
Ordering the data for the students from the dot points:
0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4.
n = 20 which is positive so median position is average of:
= (n / 2) and = (n + 1) / 2
= 20 / 2 = 21 / 2
= 10 = 10.5
2 is in position 10 2 is in position 10.5
Average = (2 + 2) / 2 = 2
Student median is 2.
Teachers
0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 8
3 is in position 10 as well as in position 10.5.
= (3 + 3) / 2
= 3
Teacher median is 3.
(In attachment, teacher plot is first and then the student follows)
Answer:
Students Median= 2
Teacher Median=3
Step-by-step explanation:
At the end of the year, cars made in the current year are marked down to make room for next year's models. One particular model has a sale price of $12,806, which is 24% less than it sold for when it was new. What was the original price of the vehicle?
9514 1404 393
Answer:
$16,850
Step-by-step explanation:
The sale price is 1 -24% = 76% of the original price (p). An equation is ...
12806 = 0.76p
12806/0.76 = p = 16850
The original price of the vehicle was $16,850.
How much dose a 60$ video game cost after you take 30% off?
Answer:
42
Step-by-step explanation:
Answer:
$42
Step-by-step explanation:
60 x 30 =
60 x 0.3 = 18
60 - 18 = 42.
Find the value of x. Please help ASAP will give brainliest.
Answer:
120 degrees
Step-by-step explanation:
50+70=120
Answer:
x
100
Step-by-step explanation:
Bill spent a total of $35 at the grocery store. Of this amount, he spent $28 on fruit. What percentage of the total did he spend
on fruit?
Answer:
80%
Step-by-step explanation:
28/35 as a percent =
First, simplify the fraction.
28/35 = 4/5
Next, turn the simplified fraction into a denominator of 100.
4/5 = 80/100
80/100 = 80%
Enter an estimate. Round each mixed number to the nearest half in your estimate.
5 1/2 - 4 6/7
Jason wakes up for school at 5:30 in the morning. If school starts at 7:00 am, how long in minutes does he have from the time when he wakes up until school starts? *
Answer:
90 minutes
Step-by-step explanation:
an hour is 60 minutes+ another 30 minutes= 90
Which inverse operations could you use to solve the equation m/5 - 8 = -6? Select two answers.
A Add 8 to each side and then divide each side by 5
B. Add 8 to each side and then multiply each side by 5
C. Multiply each side by 5 and then add 40 to each side
D. Subtract 8 from each side and then multiply each side by 5
E Multiply each side by 5 and then add 8 to each side
Answer:
B and C seem to be the correct answers!
Hope this helps!
What is the multiplier for a decrease of 42%
Answer:
x0.58
Step-by-step explanation:
1-0.42=0.58
:)
A database contains 58,000 items. Items are added to the database at a rate of 2 items per minute.
Which function can be used to find n, the total number of items in the database after m minutes?
Answer:
Your answer is
2 times per min So Function.....
f(x)=n= 2x
where n= items
x= min
Hope that this is helpful. Tap the crown button, Mark my answer as............. BRAINLIST......... Like & Follow me to get more answer.
Mahir ' in ağırlığının feride' nin ağırlağına oranı 9/4 'tür.
Mahir' in ağırlığı 81 kg olduğuna göre feridenin ağırlığı kaç kg'dir? (acil soru)
Question 7
Two sides of a triangle are given as 2 and 5. Which answer below could be the
third side?
3
10
7
5
You can use the Law Of Sins:
a / sin A
b / sin B
c / sin C
(hope this helps, really sorry if i doesnt :/ )
Answer: 10
Step-by-step explanation:
\250 doctors from three countries in Europe meeting in a conference to decide whether to approve a new vaccine for the flu. Among these are 115 Germans, 65 French, and 70 Englishmen. We also know that, 75% of the Germans, 60% of the French and 65% of the Englishmen are in favor of using the new vaccine. (a) What is the probability that a randomly chosen doctor is in favor of the vaccine
Answer:
0.683 = 68.3% probability that a randomly chosen doctor is in favor of the vaccine
Step-by-step explanation:
(a) What is the probability that a randomly chosen doctor is in favor of the vaccine
75% of 115/250 = 0.46(German).
60% of 65/250 = 0.26(French).
65% of 70/250 = 0.28(Englishmen). So
[tex]p = 0.75*0.46 + 0.6*0.26 + 0.65*0.28 = 0.683[/tex]
0.683 = 68.3% probability that a randomly chosen doctor is in favor of the vaccine
You buy a refillable cup from the gas station for $10. They are offering a special where you buy the cup, and you can get soft drink refills for only
$0.40 for the entire summer. Write a function in x that represents the total amount you spend on soft drinks at the gas station this summer. Be sure
to indicate any domain restrictions.
Answer:
10₊0.40x
Step-by-step explanation:
Because it starts off by being 10 dollars plus 0.40 times however many refills you get
50 PTS! PLEASE HELP me OUT!
Answer:
my thing is being weird so i cant really help. lo siento
i am bord
Step-by-step explanation:
Suppose that f(x) = 3 (8x - x^2)/256 for 0 < x < 8
Determine the following probabilities. Round all of your answers to 3 decimal places (e.g. 98.765).
a. P(X < 5)
b. P(X< 9)
c. P(5 < X < 7)
d. P(X > 3)
e. Determine x such that P(X < x) = 0.95
Answer and Step-by-step explanation: This function is a probability density function of a random variable X:
[tex]f(x)=\frac{3(8x-x^{2})}{256}[/tex]
and to calculate probabilities, we will have to integrate it:
[tex]P(X<x)=\int\limits^x_0 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]
Solving:
[tex]P(X<x)=\frac{3}{256}(4x^{2}-\frac{x^{3}}{3} )[/tex]
Then:
a. P(X < 5)
[tex]P(X<5)=\int\limits^5_0 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]
[tex]P(X<5)=\frac{3}{256}(100-\frac{125}{3} )[/tex]
[tex]P(X<5)=\frac{3}{256}(\frac{300-125}{3} )[/tex]
[tex]P(X<5)=\frac{175}{256}[/tex]
P(X < 5) = 0.683
b. P(X < 9)
Since density function's upper limit is 8, probability of x < 9 is 100% or 1.
So, P(X < 9) = 1
c. P(5 < X < 7)
[tex]P(5<X<7)=\int\limits^7_5 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]
[tex]P(5<X<7)=\frac{3}{256}[4(7)^{2}-\frac{7^{3}}{3}-4(5)^{2}+\frac{5^{3}}{3}][/tex]
[tex]P(5<X<7)=\frac{3}{256}[96-\frac{218}{3} ][/tex]
[tex]P(5<X<7)=\frac{70}{256}[/tex]
P(5 < X < 7) = 0.273
d. P(X > 3)
[tex]P(X>3)=\int\limits^8_3 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]
[tex]P(X>3)=\frac{3}{256}[256-\frac{512}{3}-36+9 ][/tex]
[tex]P(X>3)=\frac{3}{256}(229-\frac{512}{3} )[/tex]
[tex]P(X>3)=\frac{175}{256}[/tex]
P (X > 3) = 0.683
e. P(X < x) = 0.95
[tex]0.95=\int\limits^x_0 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]
[tex]\frac{3}{256}[\frac{12x^{2}-x^{3}}{3} ] =0.95[/tex]
[tex]\frac{12x^{2}-x^{3}}{256}=0.95[/tex]
[tex]12x^{2}-x^{3}=243.2[/tex]
[tex]-x^{3}+12x^{2}-243.2=0[/tex]
Solving this cubic equation, we have three values for x:
x₁ = -3.909
x₂ = 8.992
x₃ = 6.917
The value of x will the one between 0 and 8, which are the limits of the function. So, value of x which gives a probability of 0.95 is x = 6.917.
An athlete eats 90 grams of protein per day while training. How much is this in milligrams (mg)?
Answer:
90,000 Mg would be the amount of protein.
Find the sales tax. Then find the total cost of the item. Sales Tax Selling Price Rate of Sales Tax Sales Tax $60.00 3% ?
Answer:
$61.80
Step-by-step explanation:
60 increase 3% =
60 × (1 + 3%) = 60 × (1 + 0.03) = 61.8
Answer:
Sales tax:1.80 total cost:61.80
Step-by-step explanation:
Price x sales tax rate = sales tax
60 x .03=1.80
price + sales tax = total cost
60 + 1.80=61.80
The code for a lock consists of 3 digits using the digits: 1,2,4,7,8,9. How many different codes are possible if no digit may be repeated?
Answer:
279
Step-by-step explanation:
Consider the equation 4x=8.
Which value could be substituted x to make the equation TRUE?
Answer:
2
Step-by-step explanation:
4 times 2 is 8
Glen swims to 2/3 mile on Monday, 3/4 mile on Wednesday, and 5/6 mile on Friday. What is the total distance Glenn swims on those three days? Show your work
Answer:
In total, Glen ran 2 and 1/4 miles.
please help me please i really need help please
232. Сколько решений имеет уравнение | х + 3 | -один?
Answer: уравнение имеет 2 решения:
x₁ = - 4; x₂ = - 2.
Step-by-step explanation:
Ix + 3I = 1
1) x + 3 = 1
x + 3 - 3 = 1 - 3
x = -2
2) - (x + 3) = 1
x + 3 = - 1
x + 3 - 3 = - 1 - 3
x = - 4
At Marco's school, 5/8 of the students are in the band. What percent of the students are in the band?
Which fraction rounds to 5?
Answer:
5/1
Step-by-step explanation:
Answer:
5/1
Step-by-step explanation:
the difference of 44 and the square of n into a expression
Answer:
[tex]44-\sqrt{n}[/tex]