Answer:
D. 91 1/8
Step-by-step explanation:
The small square box has a width of 1 1/2. Since it’s a SQUARE box all sides are the same sides. to find volume we have to do length * width * height. the bigger square box is three times the small box size. So we would have to do 1 1/2 times three. Which is 4 1/2. Since all sides are the same and we have to do L*W*H, we have to multiply 4 1/2 by 4 1/2 by 4 1/2. Which equals 91 1/8. I find it easier to turn the fractions into decimals, so 1 1/2 is 1.5.
1.5 times 3= 4.5 4.5 times 4.5 times 4.5 = 91.125 convert to a fraction and its 91 1/8
The function, f(x), is plotted below.
Evaluate the limits, if they exist. If not, write DNE.
Limit as x approaches negative 1 minusf(x) =
Limit as x approaches 3 plusf(x) =
Limit as x approaches 1 f(x) =
Answer:
1
2
DNE
Step-by-step explanation:
a bowl contains 5 red chips, 7 blue chips, 6 yellow chips, and 10 green chips. One chip is randomly drawn. Write the answer as a fraction in simplest form. Find the probability of choosing a red OR yellow chip.
Answer:
The probability is 11/28 or 39%
Step-by-step explanation:
You add 5+6=11 and their are 28 total chips.
Which table of the values can be defined by the function,y=4x-3
Answer:
B
Step-by-step explanation:
5) Is this dilation an enlargement or reduction
A) Englargement
B) Reduction
———————
6) What is the scale factor for this dilation? Hint: First identity if it’s an enlargement or reduction
A) 2
B) 1/2
C) 3
D) 1/3
HELP ASAP!!! A padlock has a rotary dial of numbers from 0 to 59. The combination is a series of three numbers, each between 0 and 59. If you were to guess random numbers, what is the probability of guessing the combination correctly?
Answer
1/216000
Step-by-step explanation:
1/60 x 1/60 x 1/60
I hope this helps
The probability of guessing the combination correctly is extremely low, approximately 0.00046%.
What is probability?Probability is represented as the likelihood of an occurrence being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
There are 60 possible numbers on the rotary dial of the padlock, from 0 to 59. To calculate the total number of possible combinations, we can use the multiplication principle of counting.
Since the combination has three numbers, each of which may be any of the dial's 60 possible digit numbers, the total number of possible combinations is:
60 x 60 x 60 = 216,000
As a result, the padlock has 216,000 probable combinations.
If you were to predict random numbers, your chances of getting the proper combination are as follows:
1 / 216,000
This is due to the fact that there is only one accurate combination among the total of 216,000 conceivable combinations.
The likelihood of successfully guessing the combination is extremely low, around 0.00046%, implying that a human cannot open the padlock by randomly guessing the combination.
Learn more about probability here:
brainly.com/question/11234923
#SPJ6
hey guys i got one more- 8 mi.=_yd. Thanks!!!(PLEASE ANWER FAST!!)
Answer:
if mi stands for miles then 8 miles = 14080 yards
Step-by-step explanation:
8 x 1760
Answer:
14080
Step-by-step explanation:
8 * 1760 = 14080
The length of a room is 23 1/2 feet. When using a 1/8 inch = 1 foot scale, find the length of
the room on a floor plan.
Answer:
2.9375 inches or 2 15/16"
Step-by-step explanation:
23 1/2 feet equals 282 inches
(1/8 ÷ 12) = (x ÷ 282)
cross-multiply:
35.25 = 12x
x = 2.9375 or 2 15/16 inches
Jessa is playing a board game and rolls two dice. Let A = {the sum of the dice is even}, and let B = {the sum of the dice is divisible by 3}. List the outcomes in A ∩ B.
The Intersection of events A and B (A ∩ B) in this particular scenario has no outcomes, as there are no combinations that satisfy both the conditions of having an even sum and being divisible by 3.
The outcomes in the intersection of events A and B, we first need to identify the possible outcomes for each event.
Event A represents the sum of the dice being even. For a pair of dice, there are a total of 36 possible outcomes (6 sides on the first die multiplied by 6 sides on the second die). Out of these outcomes, half will result in an even sum. This is because if one die shows an odd number, the other die must show an even number to achieve an even sum. Therefore, Event A consists of 18 outcomes.
Event B represents the sum of the dice being divisible by 3. To determine the outcomes for Event B, we need to identify the combinations of numbers on the dice that add up to a multiple of 3. There are four such combinations: (1, 2), (2, 1), (2, 4), and (4, 2). These four combinations result in a sum that is divisible by 3. Hence, Event B consists of four outcome.
The outcomes in the intersection of A and B (A ∩ B), we need to identify the outcomes that satisfy both conditions, i.e., the outcomes that are both even and divisible by 3. From the information above, we know that Event A has 18 outcomes and Event B has four outcomes. However, none of the outcomes satisfy both conditions simultaneously. Therefore, the intersection of A and B (A ∩ B) has no outcomes.
It is important to maintain academic integrity by avoiding plagiarism. Plagiarism involves using someone else's work or ideas without proper attribution. To ensure originality, it is essential to express the information in your own words and provide accurate explanations based on the given data.
In conclusion, the intersection of events A and B (A ∩ B) in this particular scenario has no outcomes, as there are no combinations that satisfy both the conditions of having an even sum and being divisible by 3.
To know more about Intersection .
https://brainly.com/question/28950927
#SPJ8
find the circumference and the area of a circle with the diameter of 8 m.
Answer:
circumference = 8 x 3.14 = 25.12 m
area = 3.14(4²) = 50.24 m²
Step-by-step explanation:
Answer:
C= about 25.13
A= about 50.27
Step-by-step explanation:
The formula for circumference is 2* pi* r
The formula for area is pi *r^2
You and each of your 20 friends are each going to go out and randomly sample 50 people in Chicago and ask them how many Batman movies they have seen and will compute the average number for your sample of size 50. (a) Do you think that all 21 of you will have the exact same average number
Answer:
No
Step-by-step explanation:
No, absolutely not. I don't think we'd have the same sample average number. The randomising of values is quite high, very high, for one to think that we'd end up having the same average. Walking out there, talking to random people who don't even know each other at all means they will definitely give different numbers. Again, when you look at it, there are 21 of us, 21 is also a high number as well.
I believe with all these factors involved and actively militating, 21 people can't have the same sample average. No!
In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 536 said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12.
a. Test, at the 5% significance level, if this sample provides evidence that the proportion of Americans who are dissatisfied with education in kindergarten through grade 12 differs significantly from 50%.
b. Is the Test Significant? Why or Why not.
Answer:
Yes, result is significant ; PVALUE < α
Step-by-step explanation:
Given :
x = 536
n = sample size = 1012
Phat = x / n = 536 / 1012 = 0.5296 = 0.53
H0 : P0 = 0.5
H1 : P0 > 0.5
Test statistic :
(Phat - P0) ÷ sqrt[(P0(1 - P0)) / n]
1-P0 = 1 - 0.5 = 0.5
(0.53 - 0.5) ÷ sqrt[(0.5*0.5)/1012]
0.03 ÷ 0.0157173
= 1.9087
Pvalue :
Using the Pvalue from test statistic :
Pvalue = 0.02815
To test if result is significant :
α = 0.05
0.02815 < 0.05
Pvalue < α ; Hence, result is significant at α=0.05; Hence, we reject H0.
Which is the graph of the linear equation y=-1/4x+3
Answer: The Y-intercept would be positive 3, and your slope would be for every single risen coordinate on the Y axis, you move on the X-axis by 4.
Using complete sentences, explain the key features of the graph of the cosine function. (10 points)
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
A recipe for fruit punch uses 4 ounces of fruit mix to
make 6 glasses of punch. How many glasses of this
punch can be made from 26 ounces of fruit mix?
A) 24 B) 32 C) 36
D) 48
Answer:
39 glasses
Step-by-step explanation:
use proportion:
g = # glasses punch
4/6 = g/26
cross-multiply
4g = 26(6)
4g = 156
g = 39
Round the nearest hundredth. 53.789
Answer: 53.79
Step-by-step explanation:
is finding the perimeter of a figure with all sides of equal length easier tgan finding the perimeter of other figures?
Answer:
yes, there are fewer numbers to compute.
It's just one length x the number of sides.
Step-by-step explanation:
Please help please please
Answer:
1078m²
Step-by-step explanation:
Formulas:
Total Surface Area = 2B + Ph
Area = 1/2bh
Solve:
19 × 17 = 323
19 + 19 + 17 + 17 = 72
h = 6m
B = 323m
P = 72m
Total Surface Area = 2(323m) + (72m × 6m) = 1078m²
Find the mean,median,mode.and range of the data set:12,15,17,16,10
Answer:
Mean: 14
Median: 15
Mode: All values appear just once
Range: 7
Triangle LMN, shown below, is a right triangle.
L
13
5
N
M
12
Which of the following is equivalent to sin L?
PLEASE ANSWER I NEED HELP!!
9514 1404 393
Answer:
D cos(N)
Step-by-step explanation:
In case you haven't remembered the fact that the sine of an angle is equal to the cosine of its complement (the other acute angle in a right triangle), you can always go back to the definitions.
Sin = Opposite/Hypotenuse
sin(L) = NM/NL
and
Cos = Adjacent/Hypotenuse
cos(N) = NM/NL = sin(L)
The equivalent of sin(L) is cos(N).
Please help answer !:)
Will give brainlst!!
Have a nice day
Answer:
6) .000000947
7) 244000000
8) .076
You roll a 6-sided die.
What is P(factor of 27)?
A.1/9
B.1/5
C.5/9
D.1/3
Answer:
D
Step-by-step explanation:
because 1 is a factor of every number and also three is a factor of 27
Calculate the area of the shape below.
Answer:
6 1/2 in^2
Step-by-step explanation:
(4(3 1/4)) / 2 = 6 1/2 in^2
Answer:
6 1/2 or 6.5 in2
Step-by-step explanation:
A= Bxh/2
4x 3.25/2= 6.5
A=6.5 of 6 1/2
Help me please! Thank you!
Answer:
the answer is 12
If X = 12 inches, Y = 16 inches, and Z = 20 inches, what is the tangent of
Answer:
who do pow en odd an odd an 9 all 9 FM
what is the area of a circle
The area of a circle with a radius of r is [tex]pi r^2[/tex]
One way of checking the effect of undercoverage, nonresponse, and other sources of error in a sample survey is to compare the sample with known facts about the population. About 12% of American adults identify themselves as black. Suppose we take an SRS of 1500 American adults and let X be the number of blacks in the sample. Use a Normal distribution to estimate the probability that the sample will contain between 165 and 195 blacks.
Solution :
Given :
p = 12% = 0.12
n = 15..
Mean is defined as the product of a sample size n and the probability p such that :
[tex]$\mu_X = np = 1500 \times 0.12$[/tex]
= 180
Standard deviation may be defined as the square of a product of the sample size n, the probability p and the probability 1-p :
[tex]$\sigma_X = \sqrt{np(1-p)}$[/tex]
[tex]$\sigma_X = \sqrt{1500 \times 0.12 \times (1-0.12)}$[/tex]
≈ 12.5857
The z-score is given by :
[tex]$z=\frac {x- \mu}{\sigma } $[/tex]
[tex]$z=\frac {165-180} {12.5857 }$[/tex]
≈ -1.19
[tex]$z=\frac {x- \mu}{\sigma } $[/tex]
[tex]$z=\frac{195-180} {12.5857 }$[/tex]
≈ 1.19
Now determining the corresponding probability using table :
P (165 ≤ X ≤ 195 ) = P (-1.19 ≤ Z ≤ 1.19 )
= 1-2 x P(Z < -1.19)
= 1-2 x 0.1170
= 1-0.2340
= 0.7660
= 76.60%
Given values,
p = 12%= 0.12
n = 1500The mean will be
→ [tex]\mu x = np[/tex]
By putting the values,
[tex]= 1500\times 0.12[/tex]
[tex]= 180[/tex]
The standard deviation will be:
→ [tex]\sigma x = \sqrt{np(1-p)}[/tex]
[tex]= \sqrt{1500\times 0.12\times (1-0.12)}[/tex]
[tex]= 12.5857[/tex]
The z-score will be:
→ [tex]z = \frac{x- \mu}{\sigma}[/tex]
[tex]= \frac{165-180}{12.5857}[/tex]
[tex]= -1.19[/tex]
and,
→ [tex]z = \frac{195-180}{12.5857}[/tex]
[tex]= 1.19[/tex]
hence,
The probability will be:
→ [tex]P(165 \leq X \leq 195) = P(-1.19 \leq Z \leq 1.19)[/tex]
[tex]= 1-2\times P(Z < -1.19)[/tex]
[tex]= 1-2\times 0.1170[/tex]
[tex]= 1-0.2340[/tex]
[tex]= 0.7660[/tex]
[tex]= 76.60[/tex] (%)
Thus the answer above is right.
Learn more about probability here:
https://brainly.com/question/13796006
Can anyone know the answer please
find the volume if the cylinder. round to the nearest tenth if nessesary.
A. 627.5m^3.
B. 843.4m^3.
C. 986.4^3.
D. 1017.9n^3
What is the solution set for 4x+ 9 <17?
A- x>2
B- x<2
C-x>4
D-x<4
Answer:
The awnser is d i think
Simplify the expression $(x-4)(x-7) + (3-x)(2+x).$
Help please!
The equation -10x + 34 is the simplification for the given expression.
Addition Sign RulesHere it is important to remember the rules for the addition of integers numbers:
+ + Add Final result (+)
- - Add Final result (-)
+ - Subtract Final result (the sign of the integer having a greater value )
- + Subtract Final result (the sign of the integer having a greater value )
Multiplication Sign RulesThe rules for multiplication of numbers are:
+ + or - -The result presents a positive sign (+) because the signs are same.
+ - or - +The result presents a negative sign (-) because the signs are different.
First, you should apply the distributive property and the multiplication sign rules.
(x-4)(x-7) + (3-x)(2+x)
x²-7x-4x+28+6+3x-2x-x²
After that, you should simplify the previous result from addition or subtraction sign rules.
x²-11x+34+x-x²
-10x + 34
Read more about the distributive property here:
https://brainly.com/question/2807928