Step-by-step explanation:
10075 .+#!!#+#!$!$++$7$+"$($(
What is the probability of randomly selecting a prime number from the first 30 natural numbers?
A. 11/30 ≈ 36.67%
B. 13/30 ≈ 43.33%
C. 1/3 ≈ 33.33%
D. 12/30 = 40%
Answer:
33.33%
Step-by-step explanation:
Prime numbers from 1 to 30 are 2,3,5,7,11,13,17,19,23,29.
So There are 10 prime numbers
Therefore,
P(of randomly selecting a prime number from the first 30 natural numbers)=10/30= 1/3 = 33.33%
Gasoline sells for 1.3 euros per liter. What is the price in US dollars per gallon? (recall that 1 gal = 3.785 L)
British pound is 1.212 to 0.8251 USD
4.67 $/gal is the price of gasoline.
Step-by-step explanation:
Given:
Price of gasoline = 1.3 €/L
1 gallon is equals to 3.785 Liters
1 euros is equals to 0.9497 US dollars
To find:
The price of gasoline in US dollars per gallon
Solution:
Price of the gasoline = 1.3 €/L
[tex]1 gal = 3.785 L\\1L=\frac{1}{3.785} gal\\ 1.3 euro /L=\frac{1.3 euro }{\frac{1}{3.785 }gal}\\=\frac{1.3 euro \times 3.785 }{1 gal}=4.9205 euro /gal[/tex]
Now convert euros to US dollars by using :
1 euros = 0.9497 $
The price of gasoline in US dollar per gallons:
[tex]4.9205 euro/gal=4.9205 \times 0.9497 \$/gal\\=4.6730 \$/gal\approx 4.67 \$/gal[/tex]
4.67 $/gal is the price of gasoline.
Learn more about conversions:
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Please help me with the correct answer
Answer:
50 books were sold
Step-by-step explanation:
there are 5 books in the Red Crow row, and each book is worth 10 sold.
Is 9/54 equivalent to 1/3
Answer: No.
Step-by-step explanation:
9/54 is equal to 1/6
Answer:
no, it is not
Step-by-step explanation:
9/54 can be simplified by dividing both sides by 3, getting 3/18. you can do this again and get 1/6. significantly smaller that l/3
give one reason why people loan money from the bank
Step-by-step explanation:
We borrow money because we want to buy something. It may be as large as a property or a car, or something smaller like furniture or a computer. We may borrow money to spend it on experiences. It may be something as large as a loan to travel the world, to something smaller, like using a credit card for a meal out.
If you drive at a constant speed of 60 miles/hour find the time it would take to travel each of the distances in the following chart. Here are the formulas:
d = s ⋅t
or
t = ds
a. Find the time for each distance. Show your work for at least one trial.
Distance in Miles Time in Hours
10
20
30
40
50
60
b. Graph the points and label the axis
c. What does this graph mean?
Answer:
b bc it is i got it right
Step-by-step explanation:
w= 2hx - 11x Solve for X. Please and Thank you
Answer:
[tex]{ \tt{ w = 2hx - 11x}} \\ \\ { \bf{w = x(2h - 11)}} \\ \\ { \bf{x = \frac{w}{2h - 11} }}[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = \frac{w}{(2h - 11)} }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]w = 2hx - 11x[/tex]
[tex]✒ \: w = x \: (2h - 11)[/tex]
[tex]✒ \: x = \frac{w}{(2h - 11)} [/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
tính dz(0,1) của hàm ẩn (x,y) xác định bởi hệ thức x² + 2y + z = ye^x²
Answer:
???
Step-by-step explanation:
asaan ang sasagutan
Imara used these steps to find the length of the hypotenuse of the right triangle.
3 squares are positioned to form a right triangle. The small square is labeled 15, medium square is 20, and large square is not labeled.
Step 1: Find the area of the square with side lengths of 20: 400
Step 2: Find the area of the square with side lengths of 15: 225
Step 3: Find the sum of the areas of the two squares: 625
Step 4: State the length of the hypotenuse: 625
Answer:
C, "She could have found the sum of 15 and 20 and then squared the sum."
Step-by-step explanation:
I just took the test on Edge :)
The answer is C, I got it right on edge.
Have a nice day everyone <3.
10 ft
8 ft
Find the area of this figure. Round your
answer to the nearest hundredth. Use
3.14 to approximate .
A = [ ? ] ft2
Nati
how to write 403.225 in words and how do i get the answer. Thanks!!!!
Please help me steps please
Point D, not shown below, is one of the four (4) vertices of rectangle ABCD. Find its position and state the coordinate of point D.
Answer:
Hi im not got with graphs
Step-by-step explanation:
Solve the system 6x -2y+z= -2 2x+ 3y - 3z =11 x+ 6y=31
Answer:
x = 1
y = 5
z = 2
Step-by-step explanation:
System of equations:
6x - 2y + z = -2
2x + 3y - 3z = 11
x + 6y = 31
Isolate one variable in any of the equations:
x + 6y = 31
x = 31 - 6y
Plug in this value for x in another equation:
6(31 - 6y) - 2y + z = -2
186 - 36y - 2y + z = -2
186 - 38y + z = -2
-38y + z = -188
z = -188 + 38y
Plug in these values in the remaining equation:
2(31 - 6y) + 3y - 3(-188 + 38y) = 11
62 - 12y + 3y + 564 - 114y = 11
626 - 12y + 3y - 114y = 11
626 - 9y - 114y = 11
626 - 123y = 11
-123y = -615
y = 5
Plug in value of y into our other answers to solve for x and z:
x = 31 - 6(5)
x = 31 - 30
x = 1
z = -188 + 38(5)
z = -188 + 190
z = 2
Check your work:
6x - 2y + z = -2
6(1) - 2(5) + 2 = -2
6 - 10 + 2 = -2
-4 + 2 = -2
-2 = -2
Correct!
*Note there are several ways to solve for these types of problems. I used substitution*
Eli will photograph a wedding for a flat fee of $880 or for an hourly rate of $120. For what lengths of time would the hourly rate be less expensive?
The hourly rate would be less expensive if the wedding was less than ___ hours long.
Answer:
7 hours
Just divide 880/120 = 7.3333333
So if 7*120 = 840
An hour more would be more expensive.
GIVING OUT BRAINLIEST HELP ME PLEASE !! PLS 10 PTS
Answer:
x2+y2-12x24y+36=36.
2
+
y
2
−
12
x
+
18
y
=
−
36
Step-by-step explanation:
Answer:
Step-by-step explanation:
(x^2-12x+36) + (y^2-24y+144-144) = 0
(X-6)^2 + (y-12)^2=144
An article claims that 12% of trees are infested by a bark beetle. A random sample of 1,000 trees were tested for traces of the infestation and found that 127 trees were affected. what is the value of the z-test statistic?
Answer:
The value of the z-test statistic is [tex]z = 0.68[/tex]
Step-by-step explanation:
An article claims that 12% of trees are infested by a bark beetle.
At the null hypothesis, we test if the proportion is of 12%, that is:
[tex]H_0: p = 0.12[/tex]
At the alternative hypothesis, we test if the proportion is different of 12%, that is:
[tex]H_1: p \neq 0.12[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.12 is tested at the null hypothesis:
This means that [tex]\mu = 0.12, \sigma = \sqrt{0.12*0.88}[/tex]
A random sample of 1,000 trees were tested for traces of the infestation and found that 127 trees were affected.
This means that [tex]n = 1000, X = \frac{127}{1000} = 0.127[/tex]
What is the value of the z-test statistic?
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.127 - 0.12}{\frac{\sqrt{0.12*0.88}}{\sqrt{1000}}}[/tex]
[tex]z = 0.68[/tex]
The value of the z-test statistic is [tex]z = 0.68[/tex]
Find an expression which represents the difference when (102 + 8) is subtracted from (-8x - 10) in simplest terms.
Answer:
18x + 18
Step-by-step explanation:
(10x + 8) – (-8x – 10)
(10x – (-8x)) + (8 – (-10))
(10x + 8x) + (8 + 10)
18x + 18
can someone help me with this question
Answer:
its C or A bro
Step-by-step explanation:
If a and b are zeroes of the x2 + 7 x+7, find the value of a−1+b−1−2ab.
9514 1404 393
Answer:
-15
Step-by-step explanation:
If 'a' and 'b' are zeros of the quadratic f(x), its factored form is ...
f(x) = (x -a)(x -b)
and its standard form is ...
f(x) = x^2 -(a+b)x +ab
This tells us that ...
a+b = -7
ab = 7
for the given quadratic.
Then the expression of interest is ...
[tex]a^{-1}+b^{-1}-2ab=\dfrac{1}{a}+\dfrac{1}{b}-2ab=\dfrac{a+b}{ab}-2ab\\\\=\dfrac{-7}{7}-2\cdot7=-1-14=\boxed{-15}[/tex]
What is the midpoint of the line segment connecting the points (-4, 5) and (4,7)?
Answer:
(0,6)
Step-by-step explanation:
Answer:
(0,6)
Step-by-step explanation:
We need to find the midpoint of the line segment having end points (-4,5) and (4,7). So, here we can use the Midpoint Formula :-
Points :- (-4,5) and (4,7).
Using Midpoint Formula ,
[tex]\rm\implies Midpoint =\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)[/tex]
Substitute the respective values ,
[tex]\rm\implies Midpoint =\bigg(\dfrac{-4+4}{2},\dfrac{7+5}{2}\bigg)[/tex]
Simplify the numbers ,
[tex]\rm\implies Midpoint =\bigg(\dfrac{0}{2},\dfrac{12}{2}\bigg)[/tex]
This equals to ,
[tex]\rm\implies \boxed{\blue{\rm Midpoint =\bigg( 0,6\bigg)}}[/tex]
Hence the midpoint is (0,6) .
Triangle KLM is similar to triangle NOP. Find the measure of side OP. Round your answer to the nearest tenth if necessary
Answer:
OP = 43.7
Step-by-step explanation:
since the triangle is similar use these ratios.
LM/OP = LK/ON
9/OP = 7/34
do cross multiplication
OP*7 = 34*9
OP = 306/7
OP = 43.71
OP = 43.7
Answer:
OP = 50
because that is the answer
How many solutions are there to the equation below?
8(x-3) = 7x- 20
Answer:
x = 4 (ONE solution)
Step-by-step explanation:
This is a first order linear equation, so we can expect 1 solution.
Multiplying out the left side, we get:
8x - 24 = 7x - 20, which simplifies to:
x = 4 (ONE solution)
The sides of a square field are 24 meters. A sprinkler in the center of the field sprays a circular area with a diameter that corresponds to a side of the field. How much of the field is not reached by the sprinkler? Round your answer to the nearest hundredth. Use 3.14 for π.
Answer:
A
Step-by-step explanation:
i took the test
hello, i need help with this question
Answer:
a
Step-by-step explanation:
pls help, no rush I just get really stressed when I don't know the answer to a problem, pls explain ur reasons :)
9514 1404 393
Answer:
2. correct
3. addition property of equality
4. substitution property of equality
Step-by-step explanation:
You're asked for the Reasons, so you need to examine the Statements to see how you get from one line to the next.
The first line of Statement 2 differs from Statement 3 in that m∠GHI has been added to both sides of the equation (ignoring the typo in statement 3). The reason you can add the same thing to both sides of an equation is given by the Addition Property of Equality.
Statement 3 differs from Statement 4 in that one of the m∠GHI has been replaced by m∠JKL. We can do this replacement because those measures are equal to each other. Replacement of equals by equals is allowed by the Substitution Property of Equality.
Which statement best describes the areas and perimeters of the figures below?
Answer:
They have different areas and different perimeters
the sum of three consecutive even number is 27
Match the statement using the diagram
9514 1404 393
Answer:
d, b, c, a, e
Step-by-step explanation:
The order of the letters in the congruence statement tells you ...
ΔQOP ≅ ΔABC
∠Q ≅ ∠A
∠O ≅ ∠B ≅ 115°
∠P ≅ ∠C
QO ≅ AB = 5 m
OP ≅ BC = 8 m
PQ ≅ CA
(Right angle Trigonometry) Please help me solve and explain!
Answer:
31.3
Step-by-step explanation:
Reference angle given = 56.1°
Hypotenuse = 56.1
Adjacent side = x = ?
We would apply CAH, which is:
Cos 56.1° = Adj/Hyp
Cos 56.1° = x/56.1
56.1 × Cos 56.1° = x
31.2895006 = x
x = 31.3 (approximated to the nearest tenth)