Answer: 20500
Step-by-step explanation:
Rounding 408 to the nearest ten will give 410. Since it is above 4, we'll add 1 to the 0 in the tens value and this will be 410.
Rounding 52 to nearest ten is 50.
Therefore, we'll multiply 410 by 50. This will be:
= 410 × 50
= 20500
Therefore, the correct option is D.
help me please, i don’t understand
Answer:
$9
Step-by-step explanation:
The linear system is going to be:
16m + 13s + 29c = $419
26m + 19s + 45c = $649
6m + 11s + 0c = $96
I don't really know why it is bringing up the determinant, all you need to do is put this into reduced row echelon form. I personally used a calculator for this, but it could be done painstakingly by hand.
RREF gives me:
m=5
s=6
c=9
So a chocolate milkshake is $9
A fair coin is flipped 10 times. What is the probability that the first flip comes up heads or exactly five flips come up heads (or both)
The probability for the given event is P = 0.75
How to get the probability?The probability for flipping both sides of the coin is exactly the same one because we have an even coin.
The probability of getting the first flip heads up is just 0.5, as we can expect.
The probability that exactly 5 flips come heads up is:
P = C(10, 5)*(0.5)^10 = (0.5)^10*(10*9*8*7*6)/(5*4*3*2*1) = 0.25
Then, adding these two, the total probability is:
p = 0.5 + 0.25 = 0.75
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What is the equation in point-slope form of the line passing through (−2, 0) and (2, 8)? (5 points)
a
y = 2(x + 2)
b
y = 2(x − 2)
c
y = −2(x − 2)
d
y = −2(x + 2)
Answer:
A) y=2(x+2)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(8-0)/(2-(-2))
m=8/(2+2)
m=8/4
m=2
y-y1=m(x-x1)
y-0=2(x-(-2))
y=2(x+2)
y=2x+4
Jess had these daily balances on his credit card for his last billing period. He did not pay the card in full the previous month, so he will have to pay a finance charge. The APR is 20.6%. What is the average daily balance? *
3 days- $2996.71
11 days- $3203.04
4 days $2331.98
13days- $3002.76
In a survey of 554 U.S. adults, it is found that 360 favor a ban on stem cell research. Set up the null and the alternative hypotheses to test whether there is sufficient evidence that over 61% favor a ban on stem cell research. If alpha is set to 3.0%, should the null hypothesis be rejected
Answer:
The null hypothesis will be rejected
Step-by-step explanation:
The null hypothesis is that people who favour ban on stem cell research is less than or equal to 0.61
The alternate hypothesis is that people who favour ban on stem cell research is greater than 0.61
Proportion of population = 0.61
Total events = 360
Sample size = 554
Sample proportion = 360/554 = 0.649
As per test statistics –
Z = (p-p0)/sqrt {(p0 (1-p0))/n} = (0.649 -0.61)/ {(0.61 (1-0.61))/554}
= 0.039/0.021
= 1.857
P (Z<1.857) = 1- P (Z<1.857) = 1-0.9664 = 0.0336
So alpha value is 0.064.
Thus, we will reject the null hypothesis
Find sin 0 a.8/15 b.8/17 c.15/8 d.15/17
Answer:
d.
Step-by-step explanation:
tan Ф = opp. / adj. = 15/8
hyp = √(8²+15²) = √289 = 17
sin Ф = opp./ hyp = 15/ 17
which percent is represented in the shaded area? plz help me!
Answer:
Hello! answer: 44%
Hope that helps!
Find total squares:
5 x 5 = 25
Find total shaded squares: 11
Percentage = total shaded/ total squares x 100
Percentage = 11/25 x 100 = 44%
help me plz god bless
Answer:
d.
Step-by-step explanation:
The gradient is -5 meaning that it's going downwards as x increases
The y-intercept is 3
Feel free to mark as brainliest :D
If a circle is equally divided into 10 angles, what is the measure of each angle
Answer:
36°
Step-by-step explanation:
circle has 360°, divide that by 10 to get 36
Which of the following is most likely the next step in the series
Answer:
A
Step-by-step explanation:
The pattern is blue red blue red
+
The pattern is vertical horizontal vertical horizontal
Answer:
A.
The second figure adds another red horizontal line to the first. The third adds a vertical blue line to the second. The fourth must add a red horizontal line to the third.
Question 8
2 pts
You stand 40 feet from a tree. The anlge of elevation from the ground to
the top of the tree is 47 degrees. How tall is the tree? (round to the nearest
tenth)
9514 1404 393
Answer:
42.9 ft
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
where Opposite in this case is the height of the tree, and Adjacent is the distance to the tree.
tan(47°) = height/(40 ft)
height = (40 ft)·tan(47°) . . . . . multiply both sides by (40 ft)
height ≈ 42.9 ft
The tree is about 42.9 feet tall.
Find the value of the expression
Answer:
13
Step-by-step explanation:
16 - 3
What is the volume??????
Answer:
[tex]36\:\mathrm{in^3}[/tex]
Step-by-step explanation:
The area of a prism is given by the product of the base and the height. In this triangular prism, the area of the either base is:
[tex]A=\frac{1}{2}\cdot 3\cdot 4=6\:\mathrm{in^2}[/tex]
The height is marked as [tex]6[/tex] inches. Thus, the volume of the prism is:
[tex]\frac{1}{2}\cdot 3\cdot 4\cdot 6=\boxed{36\:\mathrm{in^3}}[/tex]
Here are some clues about my age. • Both my father’s age and mine are 2-digit numbers. • If you reverse the order of the digits of my father’s age, you get my age. • My father is 27 years older than I am. How old am I? Show your work and justify your thinking.
For the given condition the age of the son will be 69 years.
What is the equation?A mathematical equation asserts the equality of two expressions, which may or may not contain variables or integers. Equations are fundamental concerns, and efforts to rationally address them have served as the primary driving forces behind the creation of mathematics.
Suppose the two-digit number is x,
The father's and son's ages are 10x+y and 10y+x respectively.According to the given condition,
(10x+y) -(10y+x)=27
9x-9y=27
x-y=27/9
x-y=3
The value of x and y will be 4 and 1.
At x=9 and y=6, the age of the son is obtained as,
=10×6+9
=69 years
Thus, the age of the son will be 69 years.
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5/7 ÷ 2/3=?
Is it A?
Is it B?
Is it C?
Or is it D?
Answer:
[tex]C.[/tex] 5/7 × 2/3
Step-by-step explanation:
please help i will mark brainlist
Answer: 4
Step-by-step explanation: 16/4 =4 brainlyest plz plz I need it for my rank
Someone pls help me I don’t understand it at all
Answer:
D. 4 root 113
Step-by-step explanation:
we have to use Pythagorean Theorem which is
a^2 + b^2 = c^2
where a and b are legs of the triangle that are 45° apart and c is the hypotenuse.
now we just plug in our values.
a^2 + (9)^2 = (47)^2
a^2 + 81 = 2209
now we're gonna solve for A (the missing side)
a^2 = 2128
now we square root both sides to undo the square on A
root(a^2) = root(2128)
because 2128 isn't a pretty root, we have to simplify it
a = 4 root(133)
In an examination the following scores were a chief by a group of students:
draw a cumulative frequency graph of the data and use it to find:
a) The median examination mark.
b) How many students score less than 65 marks
c) How many students scored between 50 and 80 marks
d) How many students failed, given that the pass mark is 50
e) The credit mark, mark given that the top 25% of students were awarded credits
f) The interquartile range.
The median of cumulative frequency is 67.86 and the interquartile range is 32.86.
What is median?
The mean is "the middle number is sorter, ascending or descending, list of numbers and can be more descriptive of that data set than the average".
What is interquartile range?
The interquartile range is "measure of where the 'middle fifty' is in data set".
According to the question,
Score Mid value Frequency Cumulative frequency
10 ≤ x < 20 15 1 1
20≤x < 30 25 3 4
30≤x < 40 35 6 10
40≤x < 50 45 15 25
50≤x < 60 55 14 39
60≤x < 70 65 28 67
70≤x < 80 75 18 85
80≤x < 90 85 11 96
90≤x < 100 95 4 100
Uniform interval is 10.
a) The median of examination mark
Frequency = 1+3+6+15+14+28+18+11+4 = 100
Median = [tex]l+\frac{(\frac{N}{2} - m )}{f}[/tex] × c where l = lower limit of the median class, N = total frequency, m = cumulative frequency of the pre median class,
f = frequency of the median class, c = uniform class interval.
= 50 + [tex]\frac{\frac{100}{2} - 25 }{14}[/tex] × 10
= 50 + [tex]\frac{50 - 25}{14}[/tex] × 10
= 50 +[tex]\frac{25}{14}[/tex] × 10
= 50 + 1.786 × 10
= 50 + 17.86
= 67.86.
Thus, the median of examination mark is 67.86.
b) The number of students score less than 65 marks.
In order to find the number of students score less than 65 marks sum of all frequency below 65.
= 1 + 3 + 6 + 15 + 14
= 39
Thus, the number of students score less than 65 marks is 39.
c) The number of students scored between 50 and 80 marks
In order to find the number of students scored between 50 and 80 marks only if add frequency between 50 and 80 marks.
= 14 + 28 + 18 + 11
= 71
Thus, the number of students scored between 50 and 80 marks is 71.
d) The number of students failed, given that the pass mark is 50.
In order to find the number of students failed, given that the pass mark is 50 only if add frequency below 50.
= 1 + 3 + 6 + 15
= 25.
Thus, the number of students failed, given that the pass mark is 50 is 25.
f) The interquartile range
Interquartile range = Q₃ - Q₁ [In words, difference between upper quartile range and lower quartile range]
Q₁ = l₁ + [tex]\frac{\frac{N}{4} - m }{f}[/tex] × c where l₁ is the lower limit of the Q₁ class, m₁ is the cumulative frequency of the pre median class, f₁ is the Frequency of the Q₁ class, c is the class interval, N is the total frequency.
[tex]\frac{N}{4}[/tex] = [tex]\frac{100}{4} = 25[/tex]; [tex]\frac{3N}{4}[/tex] = 75
= 40 + [tex]\frac{25 - 25}{6}[/tex] * 10 = 40
Q₁ = 40
Q₃ = l₃ + [tex]\frac{3\frac{N}{4} - m3 }{f3}[/tex] × c
= 60 + [tex]\frac{75 - 39}{28}[/tex] × 10
= 60 + [tex]\frac{36}{28}[/tex] × 10
= 60 + 1.2857 × 10
= 60 + 12.857
= 72.857
Interquartile range = upper quartile range - lower quartile range
= 72.857 - 40
= 32.8571 ≈ 32.86.
Thus, interquartile range is 32.86.
Hence, a) The median of examination mark is 67.86.
b) The number of students score less than 65 marks is 39.
c) The number of students scored between 50 and 80 marks is 71.
d) The number of students failed, given that the pass mark is 50 below 50 is 25.
f) The interquartile range is 32.86.
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Estimate: 2 3/5 - 1 3/8
Answer:
Answer:
Solution given:
[tex] 2\frac{3}{5}-1 \frac{3}{8}[/tex]
[tex]\frac{2*5+3}{5}-\frac{1*8+3}{8}[/tex]
[tex]\frac{13}{5}-\frac{11}{8}[/tex]
taking LCM
[tex]\frac{13*8-11*5}{5*8}[/tex]
[tex]\frac{49}{40}[/tex]
1[tex]\frac{9}{40}[/tex]
is a required answer.
The Ballantyne area has 200 people over the age of eighty-five living in it of these people, 56 of them have a dog, 24 of them have a cat, and 16 of them have both of a person
is chosen at random, find the probability that they have a cat, if it is known they have a dog.
a. 1/2
b.3/7
c.2/7
d.2/25
20 POINTS!!!!! Find the corresponding point on the unit circle for the given radian measure.
0=7pi/6
Answer:
(-[tex]\frac{\sqrt{3}}{2}[/tex],-[tex]\frac{1}{2}[/tex])
Step-by-step explanation:
The corresponding point on the unit circle is ( -√3/2 , -1/2).
What is a unit circle?A unit circle is just a circle that has a radius of 1 unit. A unit circle can be used to define right triangle relationships known as sine, cosine and tangent. These relationships describe how angles and sides of a right triangle relate to one another.
For the given situation,
The radian measure is θ = 7pi/6
In unit circle, the radian θ = [tex]\frac{7\pi }{6}[/tex] lies in the third quadrant and it's equal degree measure is [tex]210[/tex]°.
The corresponding point for this radian measure is
( [tex]\frac{-\sqrt{3} }{2} ,\frac{-1}{2}[/tex] )
Hence we can conclude that the corresponding point on the unit circle is ( -√3/2 , -1/2).
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hi pls help me lovelies
Answer:
53.8%
Step-by-step explanation:
Answer:
u already got ur awnser so hi
Step-by-step explanation:
ui
Find the surface area of the composite figure.
6 cm
5 cm
4 cm
6 cm
15 cm
3 cm
The surface area of the given composite figure will be 384 square cm.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
In the given image we have a composite figure one is a rectangular cuboid and the other is a triangular prism. The surface area will be equal to the sum of all the outer sides of the figure.
The surface area of the triangular shape will be calculated as:-
SA = 2( Area of triangle ) + Area of rectangular surfaces
SA = 2 ( (1/2) B x H ) + (5 x 6 ) + ( 6 x 3 )
SA = ( 3 x 4 ) + ( 30 ) + ( 18 )
SA = 12 + 30 + 18
SA = 60 square cm
The surface area of the rectangular cuboid will be calculated as:-
SA = ( 4 x 6 ) + 2 ( 158 x 4 ) + 2 ( 15 X 6 )
SA = 24 + 120 + 180
SA = 324 square cm
Total surface area will be = 324 + 60 = 384 square cm.
Therefore the surface area of the given composite figure will be 384 square cm.
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What two numbers have a product of -25 and a sum of 24?
Find CD
с=42 degrees
D= 6 degrees
Ms. Jimenez surveyed 430 men and 200 women about their vehicles. Of those surveyed, 160 men and 85 women said that they own a white vehicle.
Find P(White)'.
A. 16/43
B. 11/18
C. 23/77
D. 3/7
Answer:
Step-by-step explanation:
10. A new fish tank has a volume of 10x2 + 30x -40 cubic inches. Assuming V =
LWH, determine the expressions of the length, width and height of the fish tank.
9514 1404 393
Answer:
10, (x+4), (x -1)
Step-by-step explanation:
The given volume expression can be factored as ...
V = 10x² +30x -40
= 10(x² +3x -4)
= 10(x +4)(x -1)
The expressions representing length, width, and height might be ...
10, (x+4), (x -1)
A car manufacturer advertises that its new sports car has a turning radius of only 16 feet. The front tires are 4.5 feet apart. The path of the inside and outside tires is shown in the diagram. Compare the distance that the outside tires must travel to the distance the inside tires must travel in order to make a complete circle.
Answer:
Solution given:
radius of small circle[r]=16-4.5ft=11.5ft
radius of large circle[R]=16ft
nowcircumference of small circle=2πr=2*3.14*11.5=72.22ft
circumference of large circle=2πR=2*3.14*16=100.48ft
distance that the outside tires must travel to the distance the inside tires must travel in order to make a complete circle
=[tex]\frac{100.48}{72.22}=\frac{32}{23}[/tex]
ratio is 32:23.
Please help quick, i’m stuck.
Answer:c
Step-by-step explanation:
Answer:
[tex]-2(-3)x^{2} +7 \cdot 3 +10[/tex]
[tex]-3x^{2} \cdot 2+7\cdot 10\\[/tex]
[tex]31-3^{2} \cdot 2[/tex]
31-18
=13
Step-by-step explanation:
answer is 13 for #1
HELP!!!GIRLY NEEDS A MATHMATICIAN TO HELP ME pls
Step-by-step explanation:
its the same ratio 4/7
cos(theta) = adjacent /hypotenuse