Answer:
a: 1/6
Step-by-step explanation:
Stacia randomly chooses a number from 1 to 10. What is the probability she
chooses a number less than 4?
A. 4/9
B. 1/3
C. 3/10
D. 2/5
Probability of choosing number less than 4 from number 1 to 10 is equals to [tex]\frac{3}{10}[/tex].
What is probability?" Probability is defined as the mathematical statement which represents the ratio of number of favourable outcomes to the total number of outcomes."
Formula used
Probability = [tex]\frac{Number of favourable outcomes }{Total number of outcomes}[/tex]
According to the question,
Given ,
Numbers from which Stacia randomly chooses a number = 1 to 10
= { 1, 2, ..., 10}
Condition for choosing a number = less than 4
= {1, 2, 3}
Substitute the value in the formula of probability we get,
Probability of choosing a number less than 4 = [tex]\frac{3}{10}[/tex]
Hence, Option(C) is the correct answer.
Learn more about probability here
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HELP PLS FOR BRAINLIEST!
The electron and proton of a hydrogen atom are separated, on average, by a distance of about 5.3 x 10^-11 meters. Find the magnitudes of the electric force and the gravitational force that each particle exerts on the other.
And pls show work of how you did it :)
Answer:
Electric force = 8.20x10⁻⁸ N
Gravitational force = 3.61x10⁻⁴⁷ N
Step-by-step explanation:
1. The electric force can be found using the following equation:
[tex] F_{e} = \frac{Kq_{e}q_{p}}{d^{2}} [/tex]
Where:
K: is the Coulomb's constant = 9x10⁹ N.m²/C²
[tex]q_{p}[/tex]: is the charge of the proton = 1.6x10⁻¹⁹ C
[tex]q_{e}[/tex]: is the charge of the electron = -1.6x10⁻¹⁹ C
d: is the distance = 5.3x10⁻¹¹ m
Hence, the magnitude of the electric force is:
[tex] |F_{e}| = \frac{9\cdot 10^{9} N.m^{2}/C^{2}*(-1.6\cdot 10^{-19} C)*1.6 \cdot 10^{-19} C}{(5.3 \cdot 10^{-11} m)^{2}} = 8.20 \cdot 10^{-8} N [/tex]
2. The gravitational force can be calculated as follows:
[tex] F_{g} = \frac{Gm_{e}m_{p}}{d^{2}} [/tex]
Where:
[tex]m_{e}[/tex]: is the electron's mass = 9.1x10⁻³¹ kg
[tex]m_{p}[/tex]: is the proton's mass = 1.67x10⁻²⁷ kg
G: is the gravitational constant = 6.67x10⁻¹¹ N.m²/kg²
Therefore, the gravitational force is:
[tex] F_{g} = \frac{6.67 \cdot 10^{-11} N.m^{2}/kg^{2}*9.1 \cdot 10^{-31} kg*1.67 \cdot 10^{-27} kg}{(5.3 \cdot 10^{-11} m)^{2}} = 3.61 \cdot 10^{-47} N [/tex]
As we can see, the gravitational force is much less than the electric force.
I hope it helps you!
Write an equation of the line that passes through (3, 2) and is perpendicular to the line y = 1/3x-3
Answer:
y=1/3x-3
m1=1/3
from,m1m2=-1
1/3m2=-1
m2=-3
again, from
m=(y-y1)/(x-x1)
-3=(y-2)/(x-3)
y-2=-3(x-3)
y-2=-3x+9
y=-3x+9+2
y=-3x+11
Which exponential function has an x-intercept?
OA.
Rx) = 100X-5 - 1
OB.
Rx) = 38-4 + 2
OC.
R(x) = 7*-1 + 1
OD.
Rx) = -8X+1 - 3
Answer:
I would have to say D
Step-by-step explanation:
because it is a complete function
The function [tex]f(x)=100^{x-5}-1[/tex] has a x-intercept
How to determine the exponential functionFor an exponential function to have a x-intercept, the function must cross the x-axis
To determine the function, we simply plot them on a graph.
From the graph (see attachment), we can see that the graph of the function [tex]f(x)=100^{x-5}-1[/tex] crosses the x-axis.
This means that the function [tex]f(x)=100^{x-5}-1[/tex] has a x-intercept
Read more about exponential functions at:
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i need help 42/18 simplified.
Answer:
The simplest form of 42/18 is 7/3 or 2 1/3
Step-by-step explanation:
Answer:
7/3 or 2 and 1/3
Step-by-step explanation:
So first you have to find what is GCF of 42 and 18, which is 6 so divide 42 and 18 by 6 and you get 7/3 which is your simplified fraction but you can make this into a mixed number which would be 2 and 1/3
please help me!!! What is the sign of (-2)^4 x (-3)^7
Choose 1 answer:
A) Positive
B) Negative
C) Zero
Answer:
[tex]( - 2) ^{4} \times ( - 3) ^{7} \\ = 16 \times 27 \\ = positive[/tex]
which of the following is not a function A (2,1),(4,3),(6,5),( 8,7) B (2,1),(4,1),(6,5),(5,4) C (2,1),(4,3),(6,5),(2,7) please help me answer this question
Answer:
C
Step-by-step explanation:
a function is defined by each x value having only one y value
In option c, a x value of 2 could have a y value of either 1 or 7
james is purchasing a new pair of AirPods for $199.99. if the tax rate is 9% how much will he spend?
Answer:
200.08
Step-by-step explanation:
If sin B=0.5 in the triangle shown, what is an expression for AB?
Answer: 3x square route of 3
Step-by-step explanation:
In the case when the sin B=0.5 in the triangle so the expression for AB is to be considered as the [tex]3x^3[/tex].
What is an expression for AB?Since it is mentioned that sin B=0.5
And, AC = 3x
So AB be like [tex]3x^3[/tex]
hence, In the case when the sin B=0.5 in the triangle so the expression for AB is to be considered as the [tex]3x^3[/tex].
Learn more about triangle here: https://brainly.com/question/24891826
A.54 ÷ 3 = 18, with a remainder of 0.
B.52 ÷ 3 = 16, with a remainder of 1.
C.54 ÷ 17 = 3, with a remainder of 1
D. 52 ÷ 3 =17, with a remainder of 1.
9514 1404 393
Answer:
D. 52 ÷ 3 =17, with a remainder of 1
Step-by-step explanation:
There are only two answer choices that make a true statement: A and D. Of these, comparison with the diagram shows that you're looking for a statement where 17 and a remainder of 1 are involved. That's choice D.
how many points did this give you?
f.ck yo 50 points like dafawkkkk
Which table does NOT show a proportional relationship?
1 point
A
B
C
D
Evaluate -(3^-1)(3^-2).
A.-27
B. 27
C.-1/27
D. 7
What is the quotient of 5 7÷5 14?
Answer:
57/514 is the correct answer
Step-by-step explanation:
what dose absolute value mean
Answer:
the magnitude of a real number without regard to its sign.
Step-by-step explanation:
Answer:
the magnitude of a real number without regard to its sign
Step-by-step explanation: or something like that
write an equation parallel to y=-3x-1 and passing through the point (4,-8)
Answer:
y = -3x + 4
Step-by-step explanation:
y = -3x - 1
a parallel line is going to look identical to the previous equation except for the last number.
for example,
y = -3x + 10
and
y = -3x - 2
are both parallel lines
now, substitute y and x for the points of the coordinate given.
y = -3x - 1
-8 = -3*4 - 1
-8 = -12 - 1
this equation isn't true.
so change the last number to make it true
-8 = -12 + 4
-8 = -8
so, your new equation is
y = -3x + 4
HURRY PLEASE!
(g+2)^5
Step-by-step explanation:
We need to use the binomial theorem/Pascal's triangle here.
(a+b)^5 = (5 choose 0)a^5 + (5 choose 1)a^4*b + (5 choose 2)a^3*b^2 + (5 choose 3)a^2*b^3 + (5 choose 4)a*b^4 + (5 choose 5)b^5.
5 choose 0 = 1
5 choose 1 = 5
5 choose 2 = 10
5 choose 3 = 10
5 choose 4 = 5
5 choose 5 = 1
And 1, 5, 10, 10, 5, 1, is the (5+1) = 6th row of pascal's triangle.
Therefore we get
g^5 + 5g^4*2 + 10g^3*2^2 + 10g^2*2^3 + 5g*2^4 + 2^5
which is
g^4 + 10g^4 + 40g^3 + 80g^2 + 80g + 32
Or, you could do the slow way, by just doing (g+2)(g+2)(g+2)(g+2)(g+2)
There are 70 students in the school band. 40% of them are sixth-graders, 20% are seventh graders, and the rest are eighth-graders. How many students are eighth-graders?
Answer:
28
Step-by-step explanation:
Answer:
Step-by-step explanation:
28
14.12 = 1/2 (3.6x - 12.8)
show work
Answer:
x = 11.4
Step-by-step explanation:
14.12 = [tex]\frac{1}{2}[/tex] ( 3.6x - 12.8 )
Rewrite so that the equation is entirely in decimals;
14.12 = 0.5( 3.6x - 12.8 )
Distribute;
14.12 = 1.8x - 6.4
Inverse operations;
14.12 = 1.8x - 6.4
+6.4 +6.4
20.52 = 1.8x
/1.8 /1.8
11.4 = x
Answer:
11.4
Step-by-step explanation:
14.12= 1/2(3.6x-12.8)
14.12=1.8x-6.4
20.52=1.8x
x=11.4
Hope that helps :)
Lemme know if I need to explain more
please help fast i’ll make brainliest
Answer:
The answer is 4.6.
Step-by-step explanation:
If you look at the graph closely, you would see that the intersection is very close to 4, so the answer is 4.6.
so I've had a bad migraine all day and my homework is due tonight can somebody do it for me, please because I've just been putting it off and if it doesn't get done I'll get in trouble and get a zero for it I will give you 150 points whoever does my homework
25 POINTS!! WILL MARK BRIANLIEST
Answer:
4y = 10 degrees, the answer is 2.5. Otherwise, I have no idea what 4y - 10 degrees equals. 0
Step-by-step explanation:
A Pyramid is placed inside a prism as shown in the pyramid has the same base area B as a prison but half the height H of the prism which expression gives the volume of the pyramid
Answer:
D) V= 1/6 bh
Step-by-step explanation:
The expression that provides the volume of the pyramid is as follows;
As mentioned in the question
It is given that the pyramid put inside a prism
Also the pyramid contains the similar base area but the height is half of the prism
so the base area of the pyramid is b
And, the Height of the pyramid = h ÷ 2
Now as we know that
The volume of the pyramid is
V = 1 ÷3 × base ares × height
= 1 ÷ 3 × b × h ÷ 2
V = 1 ÷ 6 bh
So, the volume is 1 ÷6 bh cube unit.
Answer:
V = 1/6 BH
Step-by-step explanation:
the volume of a pyramid is 1/3 BH , since the pyramid is only half the height of the prism you'll have to multiply 1/3 x 2 = 1/6
21.What is the value of their expression below?
18-3(1 + 5)
Step-by-step explanation:
3 is being multiplied by the numbers in the bracket so
18-(3x1+3x5)
18-(3+15)
18-(18)
answer is 0
Two stores offer customers bulk DVD rates. Best Buy sells 6 CDs for $63 and Target sells 8 CDs for $96. Write the unit price for each store and then determine which store offers the better buy. Explain your reasoning.
Answer:
96÷8=12 so it wold be $12 per CD AND 63÷6=10.5 there for making the CD $10.5 making Best Buy your answe
Jackson has $300 and spends $42.
What percent of his money is spent?
Answer:
14%
Step-by-step explanation:
42 ÷ 300 = 0.14 = 14%
or
subtract 42 from 300 which gives you 258
258 is 86% of 300
86-100 is 14 so 14%
An apple juice factory produced 830.87 gallons of apple juice in 4 days. How much apple
juice, on average, did the factory produce each day?
Answer:
207.7175
Step-by-step explanation:
take the 830.87 and divide it by 4 to see how much is made in 1 day. thats the average.
It takes 1 hr for cell A to complete a cell cycle and produce two cells.The cell cycle of cell Brakes 2 hrs.How many more cells would be formed from cell A than from cell B in 6 hrs
Answer:
6 cells
Step-by-step explanation:
Cell A = 1 hour to complete cycle and produce 2 cells
Number of cycles completed on 6 hours = 6 cycles
Number of cell produced = 2 * number of completed cycles = 2 * 6 = 12 cells
Cell B = 2 hours to complete a cycle ; 2 cells produced per cycle
Number of cells produced after 6 hours :
Number of cycles in 6 hours = 6/2 = 3 cycles
Number of cells produced = 3 * 2 = 6 cells
Difference in cells produced : (12 - 6) = 6 cells
Item 14 The endpoints of $\overline{AB}$ are $A\left(7,\ 8\right)$ and $B\left(-2,\ 3\right)$ . Find the coordinates of the midpoint M. Coordinates of midpoint M: ( , )
Answer:
(2.5, 5.5)
Step-by-step explanation:
The formula for calculating the midpoint of two coordinates is expressed as;
M(X, Y) = {(x1+x2/2, y1+y2/2)}
X = x1+x2/2
Y = y1+y2/2
Given the coordinates (7, 8) and (-2, 3)
X = 7-2/2
X = 5/2
X = 2.5
Y = y1 + y2/2
Y = 8+3/2
Y = 11/2
Y = 5.5
Hence the midpoint M of the coordinates is (2.5, 5.5)
1. Evaluate x + 6 when x=7
Thank you!
Answer: 13
Step-by-step explanation: x =7 so u plug 7 in as x .and u do 7 plus 6 which gives u 13.
HOPE it helps ;)