Answer:
3:8
Step-by-step explanation:
1.2 to 3.2 is 12:32 or 3:8
Answer:
3/8
Step-by-step explanation:
1.20/3.20
= 12/32
= 3/8 (divide top and bottom by 4)
I hope this helped! :D
the ratio of 62 miles to 100 kilometers
9514 1404 393
Answer:
0.99779328
Step-by-step explanation:
The exact conversion factor is ...
1 mi = 1.609344
Then 62 miles is 62×1.609344 km = 99.779328 km.
The ratio of this to 100 km is ...
99.779328/100 = 0.99779328 . . . . ratio of 62 miles to 100 km
Round the number 553 to the tens place.
is it 550? because 3 is less than 5 so I replace it with a 0
Answer:
550
Step-by-step explanation:
To round 553 to the tens place, we would need to identify the value of the digit in the ones place.
If the digit in the ones place is greater than 5, we increase the tens place by 1 & convert the ones place into a 0.
If not, we leave the tens place as is & convert the ones place into a 0.
Since 3 is less than 5, we round 553 to 550 so you are correct.
Answer:
Yes
550 has 2 sig figs
553 has 3
Step-by-step explanation:
Below are the ratings for a sample of 12 hotels in small Ontario towns:
1.1 4.7 4.8 4.8 5.3 6.5 6.7 7.1 7.1 7.3 8.1 9.2
The critical values of this data set are given:
Q1=4.8 Q2=6.6 Q3=7.2
a) Determine the following and show all work: [3 marks]
i) interquartile range (IQR)
ii) upper boundary and lower boundary
iii) any outlier(s)
b) Create a modified box plot for the data, showing any outlier(s). [1 mark]
c) In order for a hotel to be recommended by travel blog TravelWell, its score must be the 80th percentile or higher. What is the minimum rating a hotel can achieve in order to be recommended by TravelWell based on this sample? [2 marks]
Answer:
a)
i) Interquartile range is 2.4
ii) Upper boundary is 10.8
The Lower boundary is 1.2
iii) Outliers are points above the upper boundary or below the lower boundary
There is one outlier: 1.1
b) The modified boxplot with one outlier is given in the diagram.
c) The 80th percentile is
The minimum rating the hotel can get is 7.3
Step-by-step explanation:
a)
i) Interquartile range is
IQR = Q3-Q1 = 7.2-4.8 = 2.4
ii) Upper boundary = Q3+ 1.5 *IQR = 7.2+1.5*2.4 = 10.8
Lower boundary = Q1 - 1.5*IQR = 4.8- 1.5*2.4 = 1.2
iii) Outliers are points above the upper boundary or below the lower boundary
There is one outlier: 1.1
c) The 80th percentile is given by
n= 12
k = 0.80
Index is given by k*n =0.80*12 = 9.6
Round to nearest whole number, that is 10th
80th percentile is the 10th number (arranged in ascending order)
80th percentile = 7.3
The minimum rating the hotel can get is 7.3.
b) The modified boxplot with one outlier is given as follows,
ABCD is rotated counterclockwise about the origin. By how many degrees
was ABCD rotated?
Answer:
180 degrees
Step-by-step explanation:
ABCD is now opposite where it started, so it was rotated 180 degrees
I hope this helps!
Answer:
180 degrees
Step-by-step explanation:
Find the surface area of the composite figure
Answer:
384 cm^2
Step-by-step explanation:
Start with the prism (I multiply by 2 because some of the surfaces are more of):
4×15×2=1206×15×2=1806×4=24The Triangular Prism (I divide by 2 because it is a triangle shape on the sides):
3×4/2*2=123×6=186×5=30The Last Step (adding everything):
120+180+24+12+18+30=384
i am having troubles solving this 4(x+3)=x+42 can i get some help please.
Answer:
x=10
Step-by-step explanation:
Step 1: Multiply 4 with X and 3. You'll get 4x+12=x+42
Step 2: Keep the variable on one side and the number on the other side. you would subtract X and subtract 12. You'll get 3x=30
Step 3: Divide by the 3 on both sides and you'll get x=10
Given:
[tex] \\ ⇢ \tt \: 4(x + 3) = x + 42 \\ [/tex]
Solution:
[tex] \\ ⇢ \tt \: 4(x + 3) = x + 42 \\ \\ \\ \tt⇢ 4x + 12 = x + 42 \: \: \\ \\ \\ \tt \: ⇢4x - x = 42 - 12 \: \\ \\ \\ \tt \: ⇢3x = 30 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \tt \: ⇢x = \frac{30}{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \tt \: \pink{ \pmb{ \mathfrak{⇢x = 10}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ [/tex]
Verification:
[tex] \\ ⇢ \tt \: 4(10+ 3) = 10+ 42 \\ \\ \\ \tt⇢ 40 + 12 = 10 + 42 \: \: \\ \\ \\ \tt \: ⇢52 = 52 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \: ⇢ \purple{ \pmb{ \bold{L.H.S = R.H.S}}}\\ \\ \\ [/tex]
Hence Verified!find H.C.F OF 4x²y and xy²
Answer:
xy
Step-by-step explanation:
The HCF is known as the highest common factor. To find the HCF of two values, we have to take the greatest number that fits into all of their factors.
To start, we can list each value's factors.
For 4x²y, this can also be written as 4*x²*y = 4*x*x*y. In multiplication, we can take the factors of each value that is multiplied. Therefore, we can start with the factors of 4 and then go to the factors of x² and so on. Our factor list is thus 1,2,4,x,x²,y
Similarly, for xy² = x*y*y, our factors are x, y, and y²
The common factors for each of these are x and y. Assuming all values are positive and greater than 1, the x*y will be greater than either x or y. Therefore, the highest common factor would be x*y = xy
Please help explanation if possible
Answer:
17.6
Step-by-step explanation:
Answer:
80 pennies ; 160 nickels
Step-by-step explanation:
Given the 2 equations
0.01p + 0.05n = 8.80 → (1)
n = 2p → (2)
Substitute n = 2p into (1)
0.01p + 0.05(2p) = 8.80
0.01p + 0.1p = 8.80
0.11p = 8.80 ( divide both sides by 0.11 )
p = 80
Substitute p = 80 into (2)
n = 2 × 80 = 160
There are 80 pennies ; 160 nickels
Expand and simply
(5x + 4)²
Answer:
25x^2 +40x+16
Step-by-step explanation:
(5x + 4)²
(5x+4)(5x+4)
FOIL
first 5x*5x = 25x^2
outer 5x*4 = 20x
inner 4*5x = 20x
last = 4*4 = 16
Add them together
25x^2 +20x+20x+16
Combine like terms
25x^2 +40x+16
Answer:
[tex] {(5x + 4)}^{2} \\ = {(5x)}^{2} + 2 \times 4 \times 5x + {4}^{2} \\ = 25 {x}^{2} + 40x + 16 \\ thank \: you[/tex]
passes through (−3, 7) and is parallel to y = 4x − 1.
Answer:
Equation of the line is y = 4x + 19
Step-by-step explanation:
slope, m = 4
[tex]y = mx + c[/tex]
consider (-3, 7):
[tex]7 = (4 \times - 3) + c \\ 7 = - 12 + c \\ c = 19[/tex]
equation:
[tex]y = 4x + 19[/tex]
Answer:
y = 4x + 19
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 4x - 1 ← is in slope- intercept form
with slope m = 4
Parallel lines have equal slopes, then
y = 4x + c ← is the partial equation
To find c substitute (- 3, 7) into the partial equation
7 = - 12 + c ⇒ c = 7 + 12 = 19
y = 4x + 19 ← equation of parallel line
Solve the following.
2x^2-7x-4/6x^2+7x+2<0
Can someone explain how to solve this.
Answer:
Which one have same variable gather or decrease up
Step-by-step explanation:
2x^2-4.6x^2=1.4x^2
-7x+7x=0
1.4x^2+2<0
x<0
Express 12 000 iin standard form?
Answer:
the answer will be
1.2x10⁴
hope it helps
Answer:
We have been provided the number, 3430000. Therefore, the standard form is, 3430000=3.43×106, here, we have moved 6 places to the left. Hence, the standard form of 3430000 is 3.43×106. Note: It is important to note that the standard form of representing numbers is also called scientific form or standard index form.
what is soil erosion
Answer:
Soil erosion is the natural process in which the topsoil of a field is carried away by physical sources such as wind and water. In this process, the soil particles are loosened or washed away in the valleys, oceans, rivers, streams or far away lands.
It occurs when the impact of water or wind separates and removes soil particles, causing the soil to deteriorate. Soil deterioration and low water quality due to erosion and surface runoff have become severe problems worldwide.
Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of y = 2x2 – 12x + 6.
Step-by-step explanation:
The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non-trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011. The Riemann hypothesis, a famous conjecture, says that all non-trivial zeros of the zeta function lie along the critical line.
s
SO, LAST IS CORRECT
?ARK ME AS BRAILIEST
what is the solution to the equation below? sqrt x-7 = 5
A. 144
B. 12
C. 2
D. 4
Answer:
I think the answer is B.12
If this not correct, Sorry.
What is the result of rounding 8,888,888 to the nearest ten?
Answer:
8,888,890
Step-by-step explanation:
yup yup
A(-3,3),b(0,1) and c(-1,-4)
Step-by-step explanation:
domain (-3,0,-1)
range (3,1,4)
The option which is not a solution of the equation 2x + 3y = 6 is:
(A) (0, 2)
(B) (1, 1)
(C) (-3, 4)
(D) (3, 0).
Answer:
Step-by-step explanation:
B OR TRUE
Which sequence is arithmetic? Check all that apply.
•0, 8, 16, 24
•7, 12, 17, 22
•6, 12, 24, 48
•8, 14, 20, 26
•11, 18, 23, 30
•12, 17, 22, 29
•15, 30, 60, 120
Answer:
Sequences 1,2, and 4 are arithmetic.
Step-by-step explanation:
Each term in sequence 1 gets added by 8.
Each term in sequence 2 gets added by 5.
Each term in sequence 4 gets added by 6.
The interquartile range is determined by the formula _________.
A. Third quartile - First quartile
B. Third quartile + first quartile
C. First quartile - third quartile
D. Maximum - minimum
Answer:
A)
Step-by-step explanation:
The inter quartile range is determined by the formula Third quartile - first quartile.
In a set, an inter quartile range is a measure of where the bulk of the data's lie
Given the functions below, find f(x) + g(x)
f(x) = 3x - 1
g(x) = x2 + 4
Answer:
x^2+3x+3
Step-by-step explanation:
f(x) = 3x - 1
g(x) = x^2 + 4
f(x) + g(x) = 3x-1+ x^2 +4
Combine like terms
= x^2+3x+3
Evaluate the expression 34 ÷ (14 − 5) × 2.
I'm pretty confused can someone explain it to me? I will give branliest
Answer:
[tex]7\frac{5}{9}[/tex]
Step-by-step explanation:
Hi there!
We are given this expression:
34÷(14-5)×2
And we want to evaluate it
We'll be using the order of operations
Depending on the country you're in, the acronym can be different, but in the US, the typical acronym used for the order of operations is PEMDAS, or Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
The order of operations states that we should start with any expressions in parentheses
In this case, it's (14-5), which is equal to 9
The expression now becomes
34÷9×2
There are no exponents, so let's skip that
Now this is where it gets tricky:
Based on the acronym alone, we should be doing 9*2 next, however, we should always work left to right, even if in a case like this, we'll be doing division instead of multiplication
Divide 34 by 9
[tex]\frac{34}{9}[/tex]×2
Now multiply [tex]\frac{34}{9}[/tex] by 2
[tex]\frac{68}{9}[/tex]
(as a mixed fraction, it's 7[tex]\frac{5}{9}[/tex])
Hope this helps!
If ∠AFB and ∠DFE are congruent, what term describes ∠BFE and ∠AFD?
Answer:
If you add a picture I can help
Step-by-step explanation:
I need to see what the figure looks like
Simplify: 0.9(2b-1)-0.5b+1
Answer:
Step-by-step explanation:
0.9*2b = 1.8b
0.9*-1 = -0.9
So far we have 1.8b-0.9. It can't be simplified further.
Then, we add the 2nd part, -0.5b+1.
We have:
1.8b-0.9-0.5b+1. Next we combine like terms.
1.8b-0.5b = 1.3b.
-0.9+1 = 0.1
Then we put it together.
1.3b+0.1 is our answer.
Hope this helped! Have a nice day :D
Hi there!
»»————- ★ ————-««
I believe your answer is:
1.3b + 0.1
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying...}}\\\\0.9(2b-1)-0.5b+1\\--------------\\\rightarrow 1.8b - 0.9 - 0.5b + 1\\\\\rightarrow 1.8b - 0.5b - 0.9 + 1\\\\\rightarrow \boxed{1.3b +0.1}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
( 2 + 3 ) ^-1 x ( 2 ^-1 + 2^-1 )
Answer:
Step-by-step explanation:
[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boxed{ \boxed{\boldsymbol{Rule : a^{-1}=\frac{1}{a} }}} \\\\\\\\ (2+3)^{-1} \times (2^{-1}+2^{-1}) = \\\\1)\ (2+3)^{-1}=5^{-1}=\frac{1}{5} \\\\2)\ 2^{-1}+2^{-1}=\frac{1}{2} +\frac{1}{2} } =1 \\\\3)\ \frac{1}{5} \cdot 1=\boxed{\frac{1}{5} }[/tex]
PT= 3x+4 and TQ=5x-8
Answer:
So if PT=TQ and TQ=7x-9
PT=5x+3=TQ=7x-9
5x+3=7x-9
minus 5x both sides
3=2x-9
add 9 both sides
12=2x
divide 2
6=x
PT=5x+3
PT=5(6)+3
PT=30+3
PT=33
PT=QT=33
x=6
Hoped I helped you.Algebra 1 need help fast
Answer:
1st option
Step-by-step explanation:
at the 3rd hour, the money was $100
At 7th hour, the money increased to $160
Now, the rate is,
(160-100)/(7-3)
= 60/4
= 15
so, $15 per hour
A Boy obtained 80 percent marks.If the full marks is 800,how much did he get?
9514 1404 393
Answer:
640 marks
Step-by-step explanation:
80% of 800 is ...
0.80 × 800 = 640
He got 640 marks.
The temperature falls from 0 degrees to - 123 degrees in 3 hours. Which expression finds the change in
temperature per hour? ?
7 49
024
-
7 49
0 -24
49 7
0 -1
0
49 7
4 -
Answer:
D
Step-by-step explanation:
Change=Temperature/Time
Change=(-49/4)/(7/2)
What is the value of the discriminant of the quadratic equation -2x2=-8x+8, and what does its value mean about the number of real number solutions the equation has?
The discriminant is equal to 0, which means the equation has no real number solutions.
The discriminant is equal to 0, which means the equation has one real number solution.
The discriminant is equal to 128, which means the equation has no real number solutions.
The discriminant is equal to 128, which means the equation has two real number solutions.
B..The discriminant is equal to 0, which means equation has on real number solutions
The discriminant is equal to 0, which means the equation has one real number solution, option B is correct.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
The discriminant of a quadratic equation in standard form, ax² + bx + c = 0, is given by the expression b² - 4ac.
The given equation is -2x² = -8x+8
a = -2, b = 8, and c = -8.
Substituting these values into the formula for the discriminant, we get:
b² - 4ac = (8)² - 4(-2)(-8)
= 64 - 64
= 0
Therefore, the discriminant is equal to 0.
When the discriminant is equal to 0, it means that the quadratic equation has one real number solution (a double root) because the quadratic formula will give only one root.
Hence, the discriminant is equal to 0, the equation -2x² = -8x + 8 has one real number solution.
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