Answer:
56.52
Step-by-step explanation:
Since the formula for the volume of a cone is V = (1/3)*π*r^2*h, we need to multiply the fraction 1/3, the value of pi (assuming you meant 3.14), the radius squared, and the height together to get the volume. Diameter is radius times 2, so to find the radius, multiply the diameter by .5, ending up with 3. 3^2 is 9. 1/3*3.14*9*6 is equal to 56.52.
A random sample of 10 college students was drawn from a large university. Their ages are 22, 17, 27, 20, 23, 19, 24, 18, 19, and 24 years, with a sample standard deviation of 3.2. Suppose that you want to test whether the population mean age differs from 20. What is your decision based on a test at a 1% significance level
Solution :
Given :
The sample mean = 21.3
Standard deviation = 3.2
The null hypothesis is : [tex]H_0: \mu =20[/tex]
The alternate hypothesis : [tex]H_a:\mu \neq20[/tex]
This is a two tailed test, for which a [tex]\text{t-test for one mean}[/tex] with an unknown population of a standard deviation is being used.
Now the significance level, [tex]\alpha = 0.1[/tex], as well as the critical value for a two tailed test is [tex]t_c = 1.833[/tex]
The rejection region is [tex]R = \{ t:|t| > 1.833 \}[/tex]
The t-statistic is computed as follows :
[tex]t=\frac{\overline x - \mu_0}{s/ \sqrt n}[/tex]
[tex]t=\frac{21.3-20}{3.2/ \sqrt{10}}[/tex]
= 1.285
Since it is observed that [tex]|t| = 1.285 \leq t_c=1.833[/tex], it is then concluded that [tex]\text{the null hypothesis is not rejected.}[/tex]
The p-value is p=0.231 and since p 0.231 ≥ 0.1, it is concluded that [tex]\text{the null hypothesis is not rejected.}[/tex]
Conclusion
Thus we concluded that [tex]\text{null hypothesis}[/tex] [tex]H_0[/tex] is not rejected. Therefore, the population mean [tex]\mu[/tex] is different than 20, at the 0.1 significance level.
Help meeeeeeeeeeeeeeeeee
Step-by-step explanation:
the answer is in the above image
Latoya Abdul and dale sent a total of 88 text messages over their cell phones during the weekend Latoya sent 8 more messages than Abdul.Dale sent 4 times as many messages as Latoya how many messages did they each send?
Answer:
Abdul - 8 messages
Latoya - 16 messages
Dale - 64 messages
Total - 88 messages
Step-by-step explanation:
A: (x)
L: (A + 8)
D: (L* 4)
A: 8 = 8
L: 8 + 8 = 16
D: 16 * 4 = 64
8 + 16 + 64 = 88
Hope this helps!
If using the method of completing the square to solve the quadratic equation
x^2 + 8x – 4 = 0, which number would have to be added to "complete the square"?
Step-by-step explanation:
everything can be found in the picture
Indicate the measure of each angle when ∠PTS=128
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Answer:
∠PTR = 80°
∠PTQ = 45°
∠QTS = 83°
Step-by-step explanation:
The outer scale is useful for reading the values of angles that start with PT.
∡PTR = 80°
∡PTQ = 45°
The measure of angle QTS is found from ...
∡PTS = ∡PTQ +∡QTS . . . . . angle sum theorem
∡QTS = ∡PTS -∡PTQ . . . . . subtract ∡PTQ
∡QTS = 128° -45°
∡QTS = 83°
11. f(x) = x + 3, g(x) = -x + 2. Find (f + g)(x)
Answer:
(f + g)(x) = 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = x + 3
g(x) = -x + 2
(f + g)(x) is f(x) + g(x)
Step 2: Find
Substitute in function values: (f + g)(x) = x + 3 - x + 2[Subtraction] Combine like terms (x): (f + g)(x) = 3 + 2Add: (f + g)(x) = 5please help me with this
Answer:
28.24
Step-by-step explanation:
25 + 32/10 + 4/100
take lcm of the denominator
lcm = 100
25*100 + 32*10 +4*1/100
2500 + 320 +4/100
2824/100
28.24
Find the value of (1 point)
Answer D .28.24
What is the value of y in the equation 3y - 8 = 22?
7.3
8
10
14
Riley's cat has 8 kittens. Of those 8 kittens, 4 are brown, 1 is grey, and the rest are orange. Which of the following could be used to find the probability that the first kitten Riley picks up at random is NOT orange?
Answer:
5/8 or 62.5 percent
Step-by-step explanation:
At the store, Alyssa spent $3.25 on stickers and $6.50 on candy. She paid with a $10 bill. How much change did she get back?
Answer:
$0.25
Step-by-step explanation:
First, find how much the stickers and candy cost in total:
3.25 + 6.50
= 9.75
Subtract this from 10 to find how much change she got back:
10 - 9.75
= 0.25
So, she got back $0.25 in change
The value of x for which the expressions 5(3x-4) equal to 2(2x+1)
Answer:
the value of x is 2.
Step-by-step explanation:
5(3x - 4) = 2(2x + 1)
15x - 20 = 4x + 2
15x - 4x = 2 + 20
11x = 22
x = 22/11
x = 2
A grocery store chain uses loyalty cards that offer discounts on sale attheir store. The probability that a randomly chosen shopper has a loyaltycard is 0.8. A group of shoppers have been selected at random to completea customer satisfaction survey. Let Xi be a random variable that equals 1 when a customer has a loyalty card and 0 otherwise.
Required:
a. Construct a joint probability table for the random variables X, and X.
b. Define the event that the first four customers sampled have loyalty cards in terms of the random variables X, X2, X3, and Xd. Then compute the probability of this event.
100 points if u get it right!!!
Answer:
To be honest I think its C but it may be A
Step-by-step explanation:
Jordan is going to a friends birthday party. He couldn’t decide if he should wear a coat so he checked the weather. The weather report showed it would be -11 degrees in the morning but by the afternoon there would be a drastic increase of 73 degrees. Write an equation that represents this situation. Then find the temperature in the afternoon.
plz reply within five minutes and plz give an explanation on your process and how did you approach your problem and ofc loving the question.
Answer:
-11 + 73
62°
Step-by-step explanation:
Morning temperature = - 11
Afternoon temperature = morning temperature + 73°
We obtain the temperature in the afternoon by adding the 73° increase in temperature temperature the morning temperature ;
Hence, temperature in the afternoon will be :
-11° + 73° = 62°
Hence, after oon temperature will be 62°
There are 27 chocolates in a box, all identically shaped. They’re 10 are filled with nuts, eat with Carmel, and nine are solid chocolate. You randomly select one piece, eat it, and then select a second piece find the probability of selecting two solid chocolate in a row
There are 27 chocolates. 10 are nuts ( 37%). 9 are chocolates (33%). 8 are caremel (30%). So 37/2 = 16.5% is the answer.
Solve the compound inequality
Answer:
B
Step-by-step explanation:
Answer:
I'm so sorry I did not mean to answer! Ignore my response
Step-by-step explanation:
Figure ABCDE has vertices A(-2, 3), B(2, 3), C(5,-2), D(0, -4), and E(-2,-2). Plot the points on your own coordinate grid and connect the points in alphabetical order. Decompose Figure ABCDE into rectangles and triangles. Part A: How many triangles and rectangles did you make? (1 point) Part B: Use Figure ABCDE created on your coordinate grid to find the lengths, in units, of Sides AB and AE. (4 points) Part C: What is the area of Figure ABCDE? Show your work. (5 points)
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Answer:
A: 1 rectangle and 2 triangles (or 1 trapezoid and 1 triangle)
B: AB = 4; AE = 5
C: area = 34.5 square units
Step-by-step explanation:
Part AThe figure can be decomposed into a right trapezoid and a triangle. The right trapezoid can be decomposed into a rectangle and a triangle.
easiest decomposition: 1 right trapezoid and 1 triangle
decomposition per instructions: 1 rectangle and 2 triangles.
__
Part BAB is a horizontal line, so its length is the difference of the x-coordinates of B and A: 2 -(-2) = 4.
AE is a vertical line, so its length is the difference of the y-coordinates of A and E: 3 -(-2) = 5.
AB = 4, AE = 5
__
Part CThe area of the trapezoid is given by ...
A = 1/2(b1 +b2)h
The figure shows the base lengths to be 4 and 7, and the height to be 5. The trapezoid's area is ...
A = 1/2(4+7)(5) = 27.5 . . . . square units
The area of triangle CDE is given by the formula ...
A = 1/2bh
The figure shows the base length to be 7 and the height to be 2 units. The triangle area is ...
A = 1/2(7)(2) = 7 . . . . square units
The total area of figure ABCDE is 27.5 +7 = 34.5 square units.
Answer:
Answer:
A: 1 rectangle and 2 triangles (or 1 trapezoid and 1 triangle)
B: AB = 4; AE = 5
C: area = 34.5 square units
Step-by-step explanation:
Part A
The figure can be decomposed into a right trapezoid and a triangle. The right trapezoid can be decomposed into a rectangle and a triangle.
easiest decomposition: 1 right trapezoid and 1 triangle
decomposition per instructions: 1 rectangle and 2 triangles.
__
Part B
AB is a horizontal line, so its length is the difference of the x-coordinates of B and A: 2 -(-2) = 4.
AE is a vertical line, so its length is the difference of the y-coordinates of A and E: 3 -(-2) = 5.
AB = 4, AE = 5
__
Part C
The area of the trapezoid is given by ...
A = 1/2(b1 +b2)h
The figure shows the base lengths to be 4 and 7, and the height to be 5. The trapezoid's area is ...
A = 1/2(4+7)(5) = 27.5 . . . . square units
The area of triangle CDE is given by the formula ...
A = 1/2bh
The figure shows the base length to be 7 and the height to be 2 units. The triangle area is ...
A = 1/2(7)(2) = 7 . . . . square units
The total area of figure ABCDE is 27.5 +7 = 34.5 square units.
Step-by-step explanation:
trust meh
I need the answer fast p,s
Answer:
d
Step-by-step explanation:
Process of elimination:
It can’t be a or b, because the plot does not have any 2’s.
Its not c, because the plot does not have any 5’s
So it must be d
Answer:
D is the answer
Step-by-step explanation:
it only shows two 1s three 3s one 4 no 5s three 6s and so in and so forth
Let the sequence be 1, 3, 5, 7, 9……… then this sequence is
the answer is 11 because 2 multiple are increasing
Answer:
An arithmetic sequence, The difference in any term with the previous term is same.
Step-by-step explanation:
See, ah this is a little bit easy question so let’s start solving it -:
Firstly, um see the difference between the given numbers-: 1, 3, 5, 7,9 _?
Between 1 and 3 the difference is 2
Between 5 and 3 the difference is 2
Between 7 and 5 the difference is 2
Between 9 and 7 the difference is 2
So, here we see the difference among all is same. So. it is an arithmetic sequence.
So, let's find the fourth term. We can either do it by arithmetic progression or by simply adding 2 to 7. I.ll first show you by doing A.P. then we will check the answer by adding 2 to 7.
So, as we know the basic formula of A.P. which is -: a1+(n-1)d
Here, a1=1, n=5, d=2
Let’s put the values in the formula-: 1+(5–1)2 = 1+(4)2 = 1+8 = 9
Now let’s check it. As the difference between each digit is same so definately the difference between 9 and the unknown number is 2.
Then, the unknown no. is 9+2 = 11
Hence, the answer is 11
I WILL MARK BRAINLIEST
Part A: What is the area of the parallelogram? Show your work. (5 points) Part B: How can you decompose this parallelogram into two triangles? If this parallelogram what decomposed into two triangles, what would be the area of each triangle?
Answer:
Part A=2cm²
Part B =The area of each triangle will be 1cm²
Explanation:
Part A
Area of parallelogram similar to that of rectangle =length x width
Area of the parallelogram= 3 x 2/3
= 2cm²
Part B
If you draw a line from A to C or B to D the form 2 triangles
Area of a triangle =1/2 x base x Height
=1/2 x 3 x 2/3
= 6/6
= 1cm²
Therefore both triangles are 1cm²
Sorry for not explaining at first I submitted the answer by accident
help pls it's due in 4 mins
Answer:
Probely B since theres less water
Step-by-step explanation:
Answer:
Your answer would be A.Changes in the food chain
Step-by-step explanation:
The reason why this would be the answer is that Biodiversity is just the Variety of life in a habitat or ecosystem.
Please Mark as Brainliest
Hope this Helps
What is the distance between the two points? (-18, -6) & (-18,-1)
A. 4
B. 5
C.6
D. 7
Answer:
5
Step-by-step explanation:
D² = ( x2 - x1 )² + ( y2 - y1 )²
= [ (-18) - (-18) ]² + [ (-1) - (-6) ]²
= ( -1 + 6 )²
D² = ( 5 )²
hence, D = 5
Answer: B) 5
Step-by-step explanation:
Let's start by finding the distance from one x coordinate to the other. Remember subtracting by a negative is the same as adding a positive
-18-(-18)
-18+18
0
There is no distance away from the x value so the distance we need to count is from the y value
-1-(-6)
-1+6
5
The distance between the two points is 5.
Which of the coordinate pairs below are separated by a horizontal distance of greater than 11 units? Select all that apply.
A) (-6.4, 5.1) and (5.5, 5.1)
B) (4.7, -5.5) and (-3.3, -5.5)
C) (11/3, 4) and (−10/3, 4)
D) (-12, 5) and (2, 5)
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Answer:
A, D
Step-by-step explanation:
The horizontal distance between the points is the difference of their x-coordinates.
A) 5.5 -(-6.5) = 12.0 . . . greater than 11
B) 4.7 -(-3.3) = 8.0
C) 11/3 -(-10/3) = 21/3 = 7
D) 2 -(-12) = 14 . . . greater than 11
An aeroplane descended 1.4 miles to an elevation of 0.6 miles as shown by the equation below.
Solve the equation to find the elevation of the plane before its descent.
x-1.4 = 0.6
A 0.8
B 1.0
C 2.0
D 1.2
Quick
Answer:
C 2.0
Step-by-step explanation:
x-1.4 =0.6
add 1.4 to both sides
x=2.0
A large university chemistry course has a required textbook available for $ 154 and a recommended supplement for $ 36. The university bookstore finds, over time, that 15% of students enrolled in the course purchase only the textbook, while 75% buy both the textbook and the supplement. No students buy only the supplement. a) What percent of students buy neither the textbook nor the supplement from the bookstore
Answer:
10% of students buy neither the textbook nor the supplement from the bookstore
Step-by-step explanation:
We have that:
15% buy only the textbook.
75% buy both the textbook and the supplement.
None buy only the supplement.
a) What percent of students buy neither the textbook nor the supplement from the bookstore
15% + 75% = 90% buy at least one of them. So
100% - 90% = 10% buy neither.
Please help! 15 points!
Answer:
3/1/2 units 3
Step-by-step explanation:
Social scientists discovered that 1,013 General Social Survey (GSS) respondents in 2010 watched television for an average of 3.01 hours per day, with a standard deviation of 2.65 hours per day. Answer the following questions, assuming the distribution of the number of television hours is normal.
Required:
a. What is the Z score for a person who watches more than 8 hr/day?
b. What proportion of people watch television less than 5 hr/day? How many does this correspond to in the sample?
c. What number of television hours per day corresponds to a Z score of +1?
d. What is the percentage of people who watch between 1 and 6 hr television per day?
Answer:
Following are the responses to the given question:
Step-by-step explanation:
[tex]Sample \ size = n = 1013\\\\\mu = 3.01\\\\\sigma = 2.65[/tex]
For point a:
Using formula:
[tex]Z = \frac{(X - \mu)}{\sigma}\\\\X = 8\\\\Z = \frac{(8- 3.01)}{2.65} = 1.88\\\\[/tex]
For point b:
[tex]P(X<5)=?\\\\ x = 5\\\\ Z = \frac{(X - \mu)}{\sigma} = \frac{(5 -3.01)}{2.65} = 0.7509434\\\\P(Z< 0.7509434) = 0.7736566\\\\P(X<5) = P(Z< 0.7509434) = 0.7736566[/tex]
For point c:
[tex]X=? \\\\Z = 1\\\\\text{Formula for X score:}\\\\X = \mu + Z \times \alpha\\\\X = 3.01 + 1\times 2.65 = 3.01 + 2.65 = 5.66[/tex]
For point d:
[tex]P(1 \leq X \leq 6)=? \\\\P(1 \leq X \leq 6) = P(X \leq 6) - P(X\leq 1) = P(X< 6) - P(X<1)\\\\\text{Z score for x} = 6\\\\Z = \frac{(6 - 3.01)}{2.65} = 1.128301887 \\\\P(Z< 1.128301887) = 0.870403777 \\\\P(X<6) = P(Z< 1.128301887) = 0.870403777 \\\\\text{Z score for x} = 1 \\\\[/tex]
[tex]Z = \frac{(1 -3.01)}{2.65} = -0.758490566\\\\P(Z< -0.758490566) = 0.224078679\\\\P(X<1) = P(Z< -0.758490566) = 0.224078679 \\\\P(1 \leq X \leq 6) = P(X \leq 6) - P(X\leq 1) = P(X<6) - P(X<1) \\\\ = 0.870403777 - 0.224078679 = 0.646325097 \\\\\text{Required probability} = 0.646325097[/tex]
The rate to rent a small moving van is $30 per day, plus $2 per mile. Jada rented a van to drive to her new home. It took
two days, and the total cost was $360. How many miles did she drive?
A student is taking a multiple-choice exam in which each question has four choices.
Assume that the student has no knowledge of the correct answers to any of the questions.
She has decided on a strategy in which she will place four balls (marked A, B, C, and D) into a box.
She randomly selects one ball for each question and replaces the ball in the box.
The marking on the ball will determine her answer to the question.
There are five multiple choice questions on the exam.
What is the probability that she will get
a. Five questions correct?
b. At least four questions correct?
c. No questions correct?
d. No more than two questions correct?
Answer:
d no more than two questions correct
WILL MARK BRAINLIEST!!
Which is the graph of g(x)
Answer:
the second one after first
Step-by-step explanation:
it strictly obeys the rules of boundary
