Answer:
-243
Step-by-step explanation:
If a circle has a diameter of 30 meters, which expression gives its area in
scuare meters
Answer:
A = pi (15)^2
Step-by-step explanation:
The diameter is 30
The radius is 1/2 of the diameter
r = d/2 =30/2 = 15
The area of a circle is
A = pi r^2
A = pi (15)^2
A = 225 pi
Answer:B
Step-by-step explanation: 30 is the diameter so we divide it by 2 to get 15 which is the radius. Radius to the power of 2 times pi is how you get area so 15^2 times pie equals area.
How many blocks with dimensions of 3 x1x1 can fit in a unit cube?
1
1
Two distinct number cubes, one red and one blue, are rolled together. Each number cube has sides numbered 1 through 6.
What is the probability that the outcome of the roll is a sum that is a multiple of 6 or a sum that is a multiple of 4?
Enter your answer, in simplest fraction form, in the box.
Answer:
7/18
Step-by-step explanation:
First we need to find what values of sum we can have.
The minimum value for a cube is 1, so the minimum value for the sum is 2.
The maximum value for a cube is 6, so the maximum value for the sum is 12.
Now, we find the multiples of 6 and the multiples of 4 between 2 and 12:
4, 6, 8, 12.
To have a sum of 4, we can have the pairs:
(1,3), (2,2), (3,1)
To have a sum of 6, we can have the pairs:
(1,5), (2,4), (3,3), (4,2), (5,1)
To have a sum of 8, we can have the pairs:
(2,6), (3,5), (4,4), (5,3), (6,2)
To have a sum of 12, we can have the pairs:
(6,6)
So we have 14 pairs among the 36 (6 possibilities of each cube, so 6*6=36) total possibilities of pairs, so the probability is P = 14/36 = 7/18
The probability that the outcome of the roll is a sum that is a multiple of 6 or a sum that is a multiple of 4 is, [tex]P(E)=\frac{14}{36}=\frac{7}{18}[/tex]
The probability of any event is computed as divide number of favourable outcomes by total number of outcomes.
The sum that is a multiple of 6 or a sum that is a multiple of 4 are 4, 6, 8 and 12.
For sum of 4, we can have the pairs = (1,3), (2,2), (3,1)
For sum of 6, we can have the pairs: = (1,5), (2,4), (3,3), (4,2), (5,1)
For sum of 8, we can have the pairs = (2,6), (3,5), (4,4), (5,3), (6,2)
For sum of 12, we can have the pairs = (6,6)
Total number of favourable outcomes = 14
When two distinct number cubes are rolled. then,
Total number of outcomes [tex]=6^{2}=36[/tex]
The probability that the outcome of the roll is a sum that is a multiple of 6 or a sum that is a multiple of 4,
[tex]P(E)=\frac{14}{36}=\frac{7}{18}[/tex]
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HELPPPPP I HAVE NO CLUE ON WHAT TO DO
Answer:
B 86
Step-by-step explanation:
ABCD = EFGH
A = E
B = F
C = G
D = H
A survey showed that 7/15 of a class liked soccer and 2/5 liked baseball. Which sport was liked less?
Answer:
baseball my guy
Step-by-step explanation:QUICK MATHS
Answer: baseball is liked less
Step-by-step explanation: its liked less because the common denominator is 15 and whatever you times the bottom by you times the top by. so 2/5 x 3= 6/15<7/15 hope that helped!:)
What is the answer to 50% of 480?
Answer:
240
Step-by-step explanation:
50% is the same as 50/100.
50/100=0.5
Then, multiply 0.5 by 480 (the same as dividing it by 2)
480*0.5= 240
It took Beth 16 minutes to read 8 pages of a book. If she reads at a constant rate, how long did it take Beth to read 5 pages?
Answer:
Step-by-step explanation:
10 minutes
if it took her 16 minutes to read 8 pages then that means it takes her 2 minutes to read one page. 2 times 5 is 10
Answer:
Step-by-step explanation:
It would be ten. Because it took her 16 minutes to read 8 pages and 8 pages times 2 minutes each page = 16 minutes, so 5 pages times 2 minutes each page = 10
Which account has the lowest minimum balance requirement? Bank Account Terms and Conditions Bank A has a $500 minimum balance, bank B has 250 dollars, bank C has 300 dollars, bank D has 100 dollars. Account A Account B Account C Account D
Answer:
The correct option is Account D
Step-by-step explanation:
Bank requires that $500 minimum balance,this is the highest minimum balance out of all the four banks.
Bank B's minimum required balance is $250 which is the third highest minimum balance.
Bank C requires account holder to have as minimum balance $300 which is second highest minimum balance.
Bank D only requires $100 that is the minimum among all the four banks
Bank D only requires $100 that is the minimum among all the four banks. Therefore, the correct answer is option D.
Bank requires that $500 minimum balance, this is the highest minimum balance out of all the four banks.
Bank B's minimum required balance is $250 which is the third highest minimum balance.
Bank C requires account holder to have as minimum balance $300 which is second highest minimum balance.
Bank D only requires $100 that is the minimum among all the four banks.
Therefore, the correct answer is option D.
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The equation of line a is y=-1/4x+3 if line b runs perpendicular theough (2,6) what would be the equation of line b ?
Answer:
The formula of this perpendicular line is y = 4x - 2
Step-by-step explanation:
In y = -1/4x+3 the gradient is -1/4.
If two lines are perpendicular, then their gradients will multiply together to give -1.
Use this to find the gradient a of the perpendicular line.
-1/4 * a = -1
a = -1 * -4 so the gradient a of the perpendicular line = 4.
Substitute (2,6) in y = 4x + b, to find the value of b.
y = 4x + b
(2,6)
6 = (4*2) + b
b = 6 - (8)
b = -2
So now we have our equation.
The formula of this perpendicular line is y = 4x - 2
A cube with a volume of 64 cubic meters is scaled by factor of 5.what is the volume of cube in cubic meters?
A researcher works on a study that has a population standard deviation of 0.73a sample mean of 84.5 and a sample size of 60 .What is the margin of error with a confidence level of 95%
Answer:
[tex] ME = z_{\alpha/2} \frac{\sigma}{\sqrt{n}}[/tex]
The critical value can be founded in the normal standard distribution table using the value of [tex]\alpha/2 =0.025[/tex] and we got [tex] z_{\alpha/2}=1.96[/tex]. Replacing the info given we got:
[tex] ME = 1.96 \frac{0.73}{\sqrt{60}}= 0.185[/tex]
Step-by-step explanation:
For this case we have the following info given:
[tex] \sigma = 0.73[/tex] represent the population deviation
[tex] \bar X = 84.5[/tex] represent the sample mean
[tex] n =60[/tex] represent the sample size
And we want to find the margin of error for a confidence level of 95%. So then the significance level would be [tex]\alpha=1-0.95 = 0.05[/tex] and [tex]\alpha/2 =0.025[/tex]. The margin of error is given by:
[tex] ME = z_{\alpha/2} \frac{\sigma}{\sqrt{n}}[/tex]
The critical value can be founded in the normal standard distribution table using the value of [tex]\alpha/2 =0.025[/tex] and we got [tex] z_{\alpha/2}=1.96[/tex]. Replacing the info given we got:
[tex] ME = 1.96 \frac{0.73}{\sqrt{60}}= 0.185[/tex]
What is perimeter of rectangle JKLM?
Answer: 16 units
Step-by-step explanation:
Find the length of each of the four sides and add them all together. The short sides each measure 3 units and the long sides each measure 5 units. 3+3+ 5+5 = 16
Henry is standing on a catamaran at an elevation of 10 1010 feet relative to sea level. His friend Thomas is scuba diving at an elevation of − 12 1 2 −12 2 1 minus, 12, start fraction, 1, divided by, 2, end fraction feet relative to sea level. Which friend has greater elevation? Choose 1 answer: Choose 1 answer: (Choice A) A Henry (Choice B) B Thomas Which friend is farther from sea level? Choose 1 answer: Choose 1 answer: (Choice A) A Henry (Choice B) B Thomas
Answer:
A.) Henry
B.) Thomas
Step-by-step explanation:
Given the following :
Henry's elevation = 10feets relative to sea level
Thomas elevation = -12 1/2 that is (-25/2) feet relative to sea level
Person with greater elevation:
Elevation can be described as height, in this case, the sea level used as the reference point. Therefore, a positive distance denotes an elevation above the reference point (which is the sea level). Therefore, Henry has a greater elevation of 10 feet( a distance above 0).
B) Who is farther from sea level:
This can be calculated by comparing the absolute distance between the elevation of both Henry and Thomas relative to the reference point(sea level)
Take reference point as 0
Absolute distances relative to sea level:
Henry's distance | 10 - 0 | = 10
Thomas's distance | -(25/2)- 0 | = 12 1/2
Answer:
A then B
Step-by-step explanation:
There are
18 girls and
22 boys in a class,one
of them has a letter. The probability that
the
owner
of the letter is a boy is
Eloise is designing a triangular flag. Is it possible to design more than one flag with side lengths of 27 inches and 40 inches and an included angle of50°? Explain. *
Answer:
Step-by-step explanation:
The given triangular flag has two given sides and an angle. Since the lengths of the sides and the size of the angle are known, it means that Eloise can design only one triangular flag. This is because the lengths cannot be altered. Also, the size of the angle is always the same. If the sizes of the three angles were known and the length of the sides were unknown, different sizes of the triangular flags can be produced with the angles remaining constant.
Find the first four terms in the sequence an=15+6n.
A. 18, 12, 6, 0
B. 20, 26, 32, 38
C. 21, 27, 33, 39
D. 20, 14, 8, 2
The first four terms in the sequence an=15+6n are 21, 27, 33, and 39.
The correct option is C. 21, 27, 33, 39
From the question, the equation to calculate the nth term is given which is
an=15+6n.
Now, let a1, a2, a3 and a4 denote the first, second, third and fourth terms respectively.
For the first term, a1
n = 1,
From the given equation, an=15+6n
∴ a1 = 15 + 6(1)
a1 = 15 + 6
a1 = 21
∴The first term is 21
For the second term, a2
n = 2,
From the given equation, an=15+6n
∴ a2 = 15 + 6(2)
a2 = 15 + 12
a2 = 27
∴The second term is 27
For the third term, a3
n = 3,
From the given equation, an=15+6n
∴ a3 = 15 + 6(3)
a3 = 15 + 18
a3 = 33
∴The third term is 33
For the fourth term, a4
n = 4,
From the given equation, an=15+6n
∴ a4 = 15 + 6(4)
a4 = 15 + 24
a4 = 39
∴The fourth term is 39
Hence, the first four terms in the sequence an=15+6n are 21, 27, 33, and 39.
The correct option is C. 21, 27, 33, 39
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Find the measures of a positive angle and a negative angle that are coterminal with each given angle. Part 2.
8. θ = -25°
9. θ = -390°
Answer:
8. -385°, 335°
9. -30°, 330°
Step-by-step explanation:
8. θ = -25°
-25-360 = -385°
-25+360 = 335°
9. θ = -390°
-390+360 = -30°
-30+360 = 330°
The diagram below shows a shaded parallelogram drawn inside a rectangle. Using Pythagoras, find the hypotenuse of triangle A and the hypotenuse of triangle B to 1 decimal place.
Answer: 5.9 cm for both triangles.
Step-by-step explanation:
Hi, since the situation forms 2 right triangles we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of a triangle (the longest side of the triangle) and a and b are the other sides.
Replacing with the values given:
c^2 = 3^2 + 5^2
c^2 = 9+25
c^2 = 34
c = √34
c = 5.9 cm
Since both triangles are identical ( same side lengths) the hypotenuse is the same for both, 5.9 cm.
Feel free to ask for more if needed or if you did not understand something.
A certain lot consisting of ten items has three defective items and seven nondefective items. How many possible subsets of 2 items can be chosen from this lot?
21
45
90
Answer:
45
Step-by-step explanation:
The order in which the items are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many possible subsets of 2 items can be chosen from this lot?
Combinations of 2 from a set of 10. So
[tex]C_{10,2} = \frac{10!}{2!(10-2)!} = 45[/tex]
Answer:
45
Step-by-step explanation:
Which is equal
(please help asap!)
Answer:
B
Step-by-step explanation:
there
Which tree diagram shows all of the possible outcomes for tossing a coin and rolling a fair number pyramid that has four sides labelled 1 through 4?
The answer is D.
For a toss of heads you can have a roll of 1, 2, 3 or 4.
and for a toss of tails you could have a roll of 1, 2, 3, or 4
Which rule best describes the following pattern?
8, 4, 10, 6, 12, 8, 14, ...
Answer: It decreases by four then go up by six or increase by 6.
Step-by-step explanation:
It shows the alternating increased by 2
It decreases by four then go up by six or increases by 6.
We have given the pattern is
8, 4, 10, 6, 12, 8, 14, ....
We can see that
the first number is 8 and the second is 4
8>4
from 8 to 4 it is decreasing and the 4 to 10 it is increasing and again after 10 it is decreasing a.
What is the meaning of increasing?Increasing means there is a second number is greater than the first number third number is greater than the second number and so on.
There is two pattern
8,10,12,14....
Increasing by 2
4,6,8.....
Increasing by 2
Therefore it shows the alternating increased by 2.
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What is the area of the base
The perimeter of a rectangle is 19 centimeters. Its length is 6 centimeters. What is its width?
Answer:
3.5 cm
Step-by-step explanation:
Perimeter of rectangle = 2 × (w + h)
w = width
h = height
We have: 2 x (w + 6) = 19
w + 6 = 19 : 2 = 9.5
w = 9.5 - 6 = 3.5 (cm)
Find the mean, median, mode, and range of the data set.
23, 31, 26, 27, 25, 28, 23, 23, 25, 29, 29, 29, 25, 22, 30, 23
Answer:
Range: 9
Mode: 23
Median: 25.5
Mean: 26.1
Step-by-step explanation:
Arrange the data set from least to greatest.
22, 23, 23, 23, 23, 25, 25, 25, 26, 27, 28, 29, 29, 29, 30, 31
Range: Highest value - Lowest value =
Mode: The most number listed in the data set, or the listed numbers
Median: The middle number
Mean: finding the average of the data set
Range: 31 - 22 = 9
Mode: 23
Median: 25 + 26 = 51/2 = 25.5
Mean: 22 + 23 + 23 + 23 + 23 + 25 + 25 + 25 + 26 + 27 + 28 + 29 + 29 + 29 + 30 + 31 = 418/16 = 26.125 or 26.1
Terry's investment of $2,200 in the stock market earned $528 in two years. Find the simple interest rate for the investment
Answer:
24%
Step-by-step explanation:
Answer:
24%
Step-by-step explanation:
t = ???
P = 2,200
I = 528
r = 12%
528 = 2,200(t x 1)
t = 528/2,200
t = 0.24
t = 0.24 x 100 = 24%
You're welcome.
What is 1200 milligrams converted into grams
Answer:
The answer is 1.2 grams.
Step-by-step explanation: So 1,000 milligrams is 1 gram. So to get this answer you divide 1200 milligrams by 1000 and that gives you 1.2 grams for 1200 milligrams.
if the probability that is will rain is 0.7 what is the probability that it will not rain?
Answer: I think it's 0.3
Answer:
30 %
Step-by-step explanation:
if the probability that it will rain is 0.7, there is a 0.3 or 30 % chance that it will not rain.
Melanie earned $39 at her job when she worked for 3 hours. What was her hourly pay
rate in dollars per hour? Express your answer in simplest form.
Answer:
13
Step-by-step explanation:
To find the unit pay
you first had to do 39/3 (39 divided by 3) and then that answer you get is payment she receives in an hour
hour: 1 | 3
Pays: 13| 39
HOPE IT HELPS:)
Answer
-5 < ___
A.-10
B.0
Answer:
B. 0
Step-by-step explanation:
The < sign means whatever is on the right side of the symbol should be greater than whatever is on the left side.
To solve this we need to understand that 0 is greater than -10. Then we need to make sure that 0 is greater than -5 and it is greater than -5.
Therefore the answer is 0
Hope this helps! If you have any more questions or need further clarification on anything please comment down below or message me! Good luck!
