Answer:
a) t = 2.2010
b) t = 1.7291
c) t = 3.4995.
Step-by-step explanation:
a. The sample size is 12 and the level of confidence is 95%.
12 - 1 = 11 degrees of freedom, either two-tailed test at [tex]\alpha = 0.975[/tex] or one-tailed test at [tex]\alpha = 0.95[/tex], so t = 2.2010.
b. The sample size is 20 and the level of confidence is 90%.
20 - 1 = 19 degrees of freedom, either two-tailed test at [tex]\alpha = 0.95[/tex] or one-tailed test at [tex]\alpha = 0.9[/tex], so t = 1.7291.
c. The sample size is 8 and the level of confidence is 99%.
8 - 1 = 7 degrees of freedom, either two-tailed test at [tex]\alpha = 0.995[/tex] or one-tailed test at [tex]\alpha = 0.99[/tex], so t = 3.4995.
Use the long division method to find the result when 3x^3+23x^2+23x+6 is divided by 3x+2.
Answer:
x^2+7x+3 R0
Step-by-step explanation:
3x+2 | 3x^3+23x^2+23x+6
- 3x^3+2x^2 (x^2)
_____________________
21x^2+23x+6
- 21x^2+14x (7x)
______________________
9x+6
- 9x+6 (3)
_________________________________
0 | x^2+7x+3
Therefore, your quotient is x^2+7x+3
Ahmad will spend at most $30 on gifts so far he has spent $13 what are the possible additional amounts he will spend?
Answer:
$15
Step-by-step explanation:
Budget = $30
Spent = $13
--------------------------
30 - 15 = $15
Ahmad will spend $15 additional dollars.
A salesman sold 345
iPods this month and
214 iPads. If he sells this
amount of iPods every
month for the next 12
months, how many iPods
will he sell?
Answer:
2568
Step-by-step explanation:
214x12=2568
why do we need to consider ethical principles in doing researches
Answer:
Research ethics are important for a number of reasons. They promote the aims of research, such as expanding knowledge. They support the values required for collaborative work, such as mutual respect and fairness. This is essential because scientific research depends on collaboration between researchers and groups
Step-by-step explanation:
please give me brainliest
Research ethics are important for a number of reasons. They promote the aims of research, such as expanding knowledge. They support the values required for collaborative work, such as mutual respect and fairness. This is essential because scientific research depends on collaboration between researchers and groups.
Line A passes through the points (-3,2) and (-23,54). Line B is parallel to line A and passes through the point (-8,0). Consider
the equation of line B in the form y= a (x + b), where a and b are rational numbers.
Answer:
Line A passes through (-3, 2) and (-23, 54)
slope of line A will be
[tex]m_{A} =\frac{y_{2}-yx_{1} }{x_{2}- x_{1} } = \frac{54-2}{-23+3} = \frac{52}{20}= \frac{13}{5}[/tex]
Equation of line A will be
[tex](y - y_{1}) = m_{A}(x-x_{1} )\\\\(y - 2) = \frac{13}{5}(x -(-3))\\\\(y - 2) = \frac{13}{5}(x +3))\\ \\\\5((y - 2) = 13(x +3))\\\\5y -10 = 13x + 39\\\\5y = 13x + 49[/tex]
Given line B is parallel to line A, So slope of A and B
[tex]m_{A} \cdot m_{B} = 1[/tex]
slope of line B will be
[tex]\frac{13}{5}\cdot m_{B} = 1\\\\m_{B} = \frac{5}{13}[/tex]
Also given line B passes (-8, 0), therefore the equation of line B
[tex](y-y_{B}) = m_{B}(x-x_{B} )\\\\(y - 0) = \frac{5}{13}(x + 8)\\\\y = \frac{5}{13}(x+8)\\\\[/tex]
Therefore,
[tex]a = \frac{5}{13} \ \ and \ b = 8[/tex]
need help asappppppp
Answer:
for what
Step-by-step explanation:
Enter the unlock number to unlock this door!
Find the volume of each shape. Then, form the unlock code by arranging the
letters of the shapes in order from greatest to least volume. (NOT drawn to scale!)
44 m
42 m
А
A
С
14 m
Base Area
32 m
17.25 m
72 m
V4 m
B
72m
D
9 34 m
E
5 m
372 m
Base Area = 26 73 m²
872 m
Your answer
I
Please fill out this field.
*See attachment below for the diagram
Answer:
DBECA
Step-by-step explanation:
Recall:
Volume of rectangular prism = Length*Width*Height or
V = Base area * Height
✔️Volume of A:
Length = ½ m
Width = ¼ m
Height = ¼ m
Volume of A = L*W*H = ½*¼*¼
= ¹/32 m³
= 0.03125 m³
✔️Volume of B:
Base area = 32 m²
Height = 7.25 m
Volume of B = base area * height
= 32*7.25
= 232 m³
✔️Volume of C:
Length = ½ m
Width = ¼ m
Height = ½ m
Volume of A = L*W*H = ½*¼*½
= ¹/16 m³
= 0.0625 m³
✔️Volume of D:
Length = 8½ m = 8.5 m
Width = 3½ m = 3.5 m
Height = 9¼ m = 9.25
Volume of A = L*W*H = 8.5 * 3.5 * 9.25
= 275.1875 m³ ≈ 275.2 m³
✔️Volume of E:
Base area = 26⅓ m² ≈ 26.33 m²
Height = 5 m
Volume of E = 26.33 * 5
≈ 131.7 m³
Arrange from greatest to the least volume:
D (275.2) > B (232) > E (131.7) > C (0.0625) > A (0.03125)
The answer code = DBECA
Shirley is 21 years older than Laura. In six years, Shirley will be twice as old as Laura. How old are they each now? Solve by first creating a system of equations and then solving the system of equations. Be sure to define clearly each variable used.
Answer:
7 1/4 years old I think
Step-by-step explanation:
What is the volume of the rectangular prism? A prism has a length of 8 inches, width of 2 inches, and height of 12 and one-half inches.
Answer:4
Step-by-step explanation:because 4
30 POINTS, NO LINKS, AND ANSWER RIGHT.
-15 = 8z + 7. what is the value of z
Can someone please Help me with this ?
Answer:
The answer is A
Step-by-step explanation:
t(x) = (x-4)(x-4)+3
t(x) = (x²-4x-4x+16)+3
t(x) = x²-8x+19
Please take a look at the picture then write an explanation to go with the answer.
Thank you :)
Answer:
5/8 inch
Step-by-step explanation:
Subtract
1 - 3/8 = 5/8 inch
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Suppose we want to pick two numbers from 1 to 100 randomly . what is the probability that the sum of the two picked numers is divisible by 5
Answer:
1/5 or 0.2
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.
Numbers that would be divisible by 5 are multiples of 5
they include = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100
there are 20 numbers
Probability the two numbers would be divisible by 5 = 20/100
To transform to the simplest form. divide both the numerator and the denominator by 20
1/5
can i please get help?
Answer:
41.16 m³
Step-by-step explanation:
Step 1: Formula.
To find the volume of a triangular prism, multiply the base, length, and height by 1/2.
Step 2: Explain and solve.
[tex]formula: base*length*height*1/2[/tex]
[tex]base = 4.2[/tex]
[tex]length = 7[/tex]
[tex]height=2.8[/tex]
Now, we simply plug the numbers into the formula.
[tex]4.2*7*2.8*1/2 = 41.16m^3[/tex]
Step 3: Conclude.
I, therefore, believe the volume of this triangular prism is 41.16 m³.
consider the quadratic equation x^2 + 8x + k = 0 where k is a constant
Answer:
K = 16
Step-by-step explanation:
Select all values of x that make the inequality true: (x ≥ -1)
A. -4
B. -2
C. -1
D. 0
E. 1
F. 4
Answer:
c,d,e,f
Step-by-step explanation:
mark me brainliest
Select all values of x that make the inequality true: (x ≥ -1)
A. -4
B. -2
C. -1
D. 0
E. 1
F. 4
Answer:
C, D, E, F
Step-by-step explanation:
hope this helps! #HappyCheating
a cashier at the supermarket has $685 in 4 different denomination bills in her register at the end of the day. the number of $5 bills was 10 more than 4 times the amount of $10 bills. the register contained as many $1 bills as $5 bills and $10 bills combined, and two $50 bills. how many bills of each kind did the register contain?
9514 1404 393
Answer:
85 ones70 fives15 tens2 fiftiesStep-by-step explanation:
Let a, b, c, d represent the numbers of $1, $5, $10, and $50 bills, respectively. The problem statement tells us ...
a +5b +10c +50d = 685 . . . . . total amount of cash
b = 10 +4c . . . . . . . . . . . . the number of fives is 10 more than 4 times tens
a = b+c . . . . . . . . . . . as many ones as fives and tens combined
d = 2 . . . . . . . . . . the register contained 2 fifty-dollar bills
__
Substituting for 'a', then for 'b', we have ...
(b+c) +5b +10c +50d = 685
6(10 +4c) +11c +50d = 685
60 +35c +50d = 685
Substituting d=2 and subtracting 160 gives ...
35c = 525
c = 15
b = 10 +4c = 10 +4(15) = 70
a = b+c = 70 +15 = 85
The register contained ...
85 ones70 fives15 tens2 fiftiesA rectangular book cover is 8cm long and 5cm wide.Find the area of a book cover
Answer:
26cm
Step-by-step explanation:
because you have to add 8cm+8cm +5cm+5cm=26cm
A fair die is cast four times. Calculate
the probability of obtaining exactly two
6's.
Round to the nearest tenth of a
percent.
Answer:
0.1319 or 13.2%
Step-by-step explanation:
You can solve this using the binomial probability formula.
The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.
Then, we can set the equation as follows:
P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k)
n=4, x=2, k=2
when x=2 (4 2)(1/6)^2(5/6)^4-2 = 0.1157
when x=3 (4 3)(1/6)^3(5/6)^4-3 = 0.0154
when x=4 (4 4)(1/6)^4(5/6)^4-4 = 0.0008
Add them up, and you should get 0.1319 or 13.2% (rounded to the nearest tenth)
When walking between rides and attractions, most people walk about 3000 feet in 15 minutes. What is the unit rate in feet per minute?
Which number is the largest ?
-0.65, -0.622, -5/8
Answer: 0.622
step-by-step explanation
Answer:
-0.622.
Step-by-step explanation:
Convert -5/8 to a decimal:
= -0.625.
So the largest number is -0.622.
The low weekdays temperature for a city are shown
Which expression has a value greater than 43 ?
PLEASEEE HELP!
Answer:
7^2
Step-by-step explanation:
7*7=49
4^3=43
49>43
You deposit $200 in an account earning 2% interest compounded annually how much will you have any account in 10 years
Answer:
$243.80
Step-by-step explanation:
You basically just multiply this by 1.02, then multiply the answer of that by 1.02, etc, until you did it 10 times in total. There is also the formula
P (1 + r/n)^(nt)
Where
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
What is the area of a circle with a radius of 6 inches?
Answer:
[tex]36\pi \: or \: about \: 113.1[/tex]
Step-by-step explanation:
[tex]\pi \: {r}^{2} \ \ \\ \pi \: {6}^{2} \\ 36\pi[/tex]
What is the volume of the rectangular prism above?
A.
1/15
B.
1/5
C.
1/12
D.
1/20
Answer: A
Step-by-step explanation:
HxWxL equals 4/60. 4/60 simplified is 1/15.
A grading scale is set up for 1000 students' test scores. It assumes the
scores are normally distributed with a mean score of 75 and a standard
deviation of 15.
How many students will score between 48 and 75?
hint: recall how to get the standard deviation. What does that mean in
this context? How could you use that to understand how many test
scores could be in one standard deviation?
464
Answer:
464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
It assumes the scores are normally distributed with a mean score of 75 and a standard deviation of 15.
This means that [tex]\mu = 75, \sigma = 15[/tex]
How many students will score between 48 and 75?
First we find the proportion, which is the pvalue of Z when X = 75 subtracted by the pvalue of Z when X = 48. So
X = 75
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{75 - 75}{15}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a p-value of 0.5
X = 48
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{48 - 75}{15}[/tex]
[tex]Z = -1.8[/tex]
[tex]Z = -1.8[/tex] has a p-value of 0.0359
1 - 0.0359 = 0.4641
Out of 1000:
0.4641*1000 = 464
464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.
Mr. Zhāng received a shipment that
arrived in a cardboard box in the shape of a
rectangular prism. The volume of the box
was 110 cubic feet. The area of the base of
the box was 20 square feet. What was the
height of the cardboard box?
I need help ☹️ anybody know if it’s a b c or d
Answer:
C
Step-by-step explanation:
Write and solve using a proportion to find the missing length!!!!
Answer:
k=16/3
Step-by-step explanation:
[tex]\frac{2}{3} =\frac{k}{8}[/tex]
[tex]3k=16[/tex]
[tex]k=\frac{16}{3}[/tex]