Answer:
4/21
Step-by-step explanation:
⇒This question is on probability
⇒Number of boys=3
⇒Number of girls=4
⇒P(S)= 4+3=7
Probability for a girl to win is= 4/7
We have 3 awards a free movie ticket, a collectible poster, or a free popcorn
P(S)= 3
Probability of being awarded a free popcorn = 1/3
The probability that a girl will win free popcorn =
[tex]\frac{4}{7} * \frac{1}{3} = \frac{4}{21}[/tex]
Answer:
4/21
Step-by-step explanation:
through: (-1, 0), parallel to y = 3x
y = mx + b
m = slope
b = y-intercept
Since it is parallel to the equation y = 3x it means that the equation that goes through point (-1, 0) has the same slope (3x)
To find the b plug the x and y of point (-1, 0) into the equation: y = 3x + b then solve for b
0 = 3(-1) + b
0 = -3 + b
0 + 3 = (-3 + 3) + b
3 = b
so...
y = 3x + b
Hope this helped and made sense!
~Just a girl in love with Shawn Mendes
Answer:
y = 3x - 3
Step-by-step explanation:
Since our line is parallel to y = 3x, our slope should be 3. We also have the points (-1, 0).
From here, we can use the point-slope form (how convenient):
y - y₁ = m(x - x₁), where (x₁, y₁) is the given coordinate on the line, and m is the slope of the line
Plug in: y - 0 = 3(x - 1)
We could leave it here, but we should convert this line into the more commonly-seen slope-intercept form.
Distribute: y - 0 = 3x - 3
Identity: y = 3x - 3
The square of the sum of two consecutive positive even integers is 4048 more than the sum of the squares of these two numbers. Find the two numbers.
PLZZZZZ I NEED LE HELP FROM LE FELLOW STUDENTS!!!
Answer:
The numbers are 44 and 46
Step-by-step explanation:
Let
x, x+2 ----> the two consecutive positive even integers
we know that
[tex](x+x+2)^{2} =4,048+x^{2} +(x+2)^{2} \\ \\(2x+2)^{2} =4,048+x^{2} +x^{2}+4x+4\\ \\4x^{2}+8x+4=2x^{2}+4x+4,052\\ \\2x^{2} +4x-4,048=0[/tex]
Solve the quadratic equation using a graphing calculator
The solution is x=44
see the attached figure
x+2=44+2=46
therefore
The numbers are 44 and 46
Two
coins
are
flipped
to
decide
who
has
to
do
the
chores.
If
two
heads
are
flipped,
Matt
has
to
do
the
chores.
If
two
tails
are
flipped,
Mark
has
to
do
the
chores.
If
neither
of
these
results
is
met,
they
flip
both
coins
again.
a. How
many
different
outcomes
are
there
after
flipping
both
coins?
b. What
is
the
probability
that
Matt
has
to
do
chores?
c. What
is
the
probability
that
Mark
has
to
do
chores?
d. Is
the
method
of
decision
fair?
e. What
is
the
likelihood
that
they
must flip again?
Answer:
Step-by-step explanation:
If you flip coins, you can get,
HT TH HH TT
There are 4 possible outcomes.
Out of these 4, Matt has to do chores if two heads are flipped. It is 1/4 chance.
Out of these 4, Mark has to do chores if two tails are flipped. Again, 1/4 chance.
The method of decision is far since both guys have the same chance of being picked to do chores.
To flip again, they would have to get either HT or TH out of the 4 choices. So 2/4=1/2 is the likeihood they must flip again.
What transformation has changed the parent function f(x) = 3(2)x to its new appearance shown in the graph below?
exponential graph passing through point 0, 1.
f(x) + 2
f(x) − 2
f(x + 2)
f(x − 2)
Answer:
Second Option
f(x) − 2
Step-by-step explanation:
The function [tex]y=3 (2) ^ x[/tex] passes through point (0, 3) because:
[tex]f (0) = 3 (2) ^ 0 = 3 (1) = 3[/tex]
Then, if the transformed function passes through the point (0, 1) then this means that the graph of [tex]y = 3 (2) ^ x[/tex] was moved vertically 2 units down.
The transformation that displaces the graphically of a function k units downwards is:
[tex]y = f(x) + k[/tex]
Where k is a negative number. In this case [tex]k = -2[/tex]
Then the transformation is:
[tex]y = f(x) -2[/tex]
and the transformed function is:
[tex]y = 3(2) ^ x -2[/tex]
Answer:
f(x − 2)
Step-by-step explanation:
thats the right answer
In the garden, the ratio of roses to daisies is 1:3. There are 8 roses. How many daisies are there.
Answer:
24
Step-by-step explanation:
8*3= 24
if you use this ratio and simplify the new ratio (8:24), you get the original ratio of 1:3
Answer:
24Step-by-step explanation:
[tex]\text{We have the ratio}\\\\roses\ to\ dailes=\dfrac{roses}{dailes}\to1:3=\dfrac{1}{3}\\\\\text{We have}\ 8\ roses.\ \text{Substitute:}\\\\\dfrac{8}{dailes}=\dfrac{1}{3}\qquad\text{cross multiply}\\\\dailes=(3)(8)\\\\dailes=24[/tex]
How many solutions does the equation 5x + 3x − 4 = 10 have?
Zero
One
Two
Infinitely many
I believe that it has two solutions
Answer:
The given equation has just one solution
Step-by-step explanation:
To find the solution to the problem given, we will follow the steps below;
5x + 3x - 4 = 10
We will first start by simplifying
8x - 4 = 10
Add 4 to both-side of the equation
8x - 4 + 4 = 10 + 4
8x = 10
Divide both-side of the equation by 8
8x/8 = 10/8
At the left-hand side of the equation, 8 will cancel-out 8 leaving us with just x while at the right-hand side of the equation 10 will be divided by 8
x=1.25
Therefore the given equation has just one solution
What is the simplified form of the quantity of x plus 7, all over the quantity of 6 − the quantity of x plus 5, all over the quantity of x plus 3?
Answer:
Step-by-step explanation:
[ (x + 7) / 6 ] − [ (x + 5) / (x + 3) ]
First, we must find the common denominator. In this case, that's 6 (x+3). Multiply the first fraction by (x+3)/(x+3) and the second fraction by 6/6.
[ (x + 7)(x + 3) / (6 (x + 3)) ] − [ 6 (x + 5) / (6 (x + 3)) ]
Now distribute the numerators:
[ (x² + 10x + 21) / (6 (x + 3)) ] − [ (6x + 30) / (6 (x + 3)) ]
Now we combine the fractions:
((x² + 10x + 21) − (6x + 30)) / (6 (x + 3))
(x² + 10x + 21 − 6x − 30) / (6 (x + 3))
(x² + 4x − 9) / (6 (x + 3))
So the simplified form is:
[tex]\frac{x^{2} + 4x - 9}{6 (x + 3)}[/tex]
S
Which point is a solution to the linear inequality y<-1/2x+2
(2,3)
(2,1)
(3,-2)
(-1,3)
Answer:
(3, -2)Step-by-step explanation:
Put the coordinates of the points to the inequality and check:
y < -1/2x + 2
for (2, 3) → x = 2, y = 3
3 < -1/2(2) + 2
3 < -1 + 2
3 < 1 FALSE
============================
for (2, 1) → x = 2, y = 1
1 < -1/2(2) + 2
1 < -1 + 2
1 < 1 FALSE
============================
for (3, -2) → x = 3, y = -2
-2 < -1/2(3) + 2
-2 < -1.5 + 2
-2 < 0.5 TRUE
============================
for (-1, 3) → x = -1, y = 3
3 < -1/2(-1) + 2
3 < 1/2 + 2
3 < 2 1/2 FALSE
Drag each expression to show whether it can be used to find the area, perimeter, or neither.
Perimeter: 2(l+w)
2•l+2•w
l+w+l+w
Area: l•w
wl
Neither: l+w
a rectangle is graphed on the coordinate grid.
which represents the equation of a side that is perpendicular to side s?
Answer:
y = x + 3 or y = x - 3
Step-by-step explanation:
Rise over run for slope (m) and then get the y-intercept (b) by continuing the pattern from right to left until you cross the y-axis.
Plug m and b into y = mx + b
side p and side r are both perpendicular to side s.
Side p:
y = x + 3
Side s:
y = x - 3
PLEASE HELP ASAP i will give brainliest!!
Write an inequality to represent the real-world problem. Then complete the statements. Jasmine’s computer cost more than $300.
The variable in the inequality represents _______
The inequality symbol needed is ________
The constant is _______
The inequality that correctly represents the problem is ______
Answer:
1. the cost of the computer (c)
2. > (greater than)
3. how much ($300)
4. c > 300
The variable in the inequality represents the cost of the computer.
The inequality symbol needed is > (greater than)
The constant is how much ($300)
The inequality that correctly represents the problem is cost of the computer > 300
What is problem-solving?Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.
Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.
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Maryna spent 1/5 of her money on a book, If she had $80 left after she bought the book, how much money did she have originally
Answer:$400
Step-by-step explanation:
Because, if she spent ONLY 1/5 of her money, and she has $80 left, wouldn't you basically have to multiply 5 with 80 to get the original amount of money?
Answer:
$100
Step-by-step explanation:
If Maryna had $80 after spending 1/5, we know she has 4/5 left. Then, we divide 80 by 4/5. To divide a fraction, we multiply the number by rhe reciprocal. So, we multiply 80/1 by 5/4. 80 multiplied by 5 is 400, and divided by 4 is 100. This is how we get an original amount of $100.
A car traveled 125 miles in 2.5 hours. If the car continues at the same rate, how far ahead it traveled after three hours?
How much quarterly budget should be allocated for a facility that spends an average of $30,000 annually for each of its 611 inmates?
Answer:
4,582,500
Step-by-step explanation:
(30,000*611)/4=4,582,500
Answer:
Quarterly budget of $4582500 must be allocated.
Step-by-step explanation:
A facility spends on its inmates of an average = $30000 annually
Number of inmates = 611
Total amount to be spent = $30000×611
= $18330000
Since there are 4 quarters in a year so quarterly budget allocated
= [tex]\frac{18330000}{4}[/tex]
= $4582500
Therefore, quarterly budget of $4582500 should be allocated.
Find the zeros of the function. y=1/2(2x+5)(x+4)
I think the answers are X=-2.5 and X=-4 but I'm not sure about the -2.5 Pls Help
0=1/2(2x²+13x+20)
0=x²+6,5x+10
[tex]x = \frac{ - 6.5 + \sqrt{2.25} }{2} \\ x = - 2.5 \\ x = - 4[/tex]
Answer:
x = - 2.5, x = - 4
Step-by-step explanation:
To find the zeros, set y = 0, that is
[tex]\frac{1}{2}[/tex](2x + 5)(x + 4) = 0
Equate each of the factors to zero and solve for x
2x + 5 = 0 ⇒ 2x = - 5 ⇒ x = - 2.5
x + 4 = 0 ⇒ x = - 4
Which angles are vertical angles and, therefore, congruent?
a d
a g
a e
a f
Answer:
a and f
Step-by-step explanation:
Vertical angles are directly opposite each other, created by two lines intersecting.
∠A and ∠F are congruent to each other because they are vertically opposite angles. Then the correct option is D.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.
∠A and ∠F, ∠B and ∠E, ∠C and ∠H, and ∠D and ∠G are congruent to each other because they are vertically opposite angles.
Then the correct option is D.
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a device is rated at 1,100 watts.what current is required if it is operated at 110 volts?
1 ) Watts =E * I = 110 * 5 = 550 watts =.55 KW
2) I = Watts / e = 1100 / 110 = 10 amperes
3) 1 horsepower = 33000 ft/lbs per minute
HP = ( 2000 * 1000) / (33000 *4) = 15.1515 hp
4) cost = (10 * 100 / 1000) *11 * $0.10 = $1.10
5) This answer will be incorrect because you have not stated the power factor of the motor.
va = I * E = 7.5 * 240 = 1800
2 hp = 2 * 746 watts = 1492 watts
If the motor had a 1.0 power factor (it doesn't) the efficiency would be
efficiency = output / input = 1492 / 1800 = 82.888 %
6) I = watts / E =1000 / 120 = 8.333 amps
7) 1 = watts / E = 1000 / 240 = 4.1616
8) Kw-hr = (2 * 24 * 365 ) / 1000 = 17.52
cost = kw-hr * $0.03 = 17.52 * $0.03 = $0.5256
9) efficiency = (115 * 240) / (2400 * 12) = 95.8333 %
10) KW = (I^2 * R) / 1000 = (20^2 * 5) / 1000 = 2
the current required is 10 amperes.
To calculate the current required for a device rated at 1,100 watts operating at 110 volts, we use the formula P = IV, where P is power in watts, I is current in amperes, and V is voltage in volts.
Rearranging the formula to solve for current, we get I = P / V. Plugging in the given values, we have:
I = 1,100 W / 110 V
Thus, the current required is 10 amperes.
Determine the mode of the set of data in the stem and Leaf plot below.
The mode in a stem-and-leaf plot is determined by identifying which leaf (end digit of a data point) occurs most often for a particular stem (leading digit(s)). For example, in the data set 4, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 10 the mode is 7 as it appears most frequently.
Explanation:The stem-and-leaf plot is a type of graph that provides a visual representation of data. It is a way of organizing data in which we can easily discover the mode, mean, median, and even the shape of the distribution (such as skewness). The mode in a data set is the value that appears the most often. In the context of a stem-and-leaf plot, identifying the mode involves finding which 'leaf' or end digit of a data point (the last digit in a number) occurs most frequently on a particular 'stem' or leading digit (all but the last digit of a number).
For example, in the stem-and-leaf plot of the data set given : 4, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 10 the mode is 7 as the number '7' shows up the most often, which is 6 times. For identifying the mode, we closely look at the list of leaf values for each stem value and determine which leaf occurs more frequently than any other. Therefore, to answer the student's question about finding the mode from a stem-and-leaf plot, they simply need to identify which leaf value occurs most frequently in the data set presented in the plot.
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The mode of the set of data in the stem and Leaf plot is 51
Determine the mode of the set of dataFrom the question, we have the following parameters that can be used in our computation:
The stem and leaf plot
By identifying the stem with the most leaves, we have identified the stem represents the mode of the data set.
Using the above as a guide, we have the following:
The stem is 5 and the leaf is 1
So, the mode is 51
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I need help with my math
Answer:
Undefined
Step-by-step explanation:
Same x coordinates with different y values is considered undefined
[tex]
s=\frac{-2-6}{-4-(-4)}=\frac{-8}{0}=\boxed{undefined}
[/tex]
Help URGENT! I WILL MARK BRAINLIEST!!!!!!!! JUST HELP MR FIND THE ANSWER OF THE PROBLEM IN THE IMAGE ABOVE!!!!! Worth 20 points!!!
Answer: -8n^4 + 3n^2
(The ^ is the exponent)
What is the constant of vanation,
of the line y = for through (3.18) and (5,30)?
the constant of variation or namely its slope will be
[tex]\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{18})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{30}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{30-18}{5-3}\implies \cfrac{12}{2}\implies 6[/tex]
Help please !!!!! Math 3
Answer:
A
Step-by-step explanation:
The degree of a polynomial is determined by the largest exponent in the terms of the polynomial. The leading coefficient is the coefficient of the term with the largest exponent.
Given
f(x) = 2x³ + 2x² - [tex]\frac{1}{x}[/tex]
The term - [tex]\frac{1}{x}[/tex] means that f(x) is not a polynomial
Since terms with division by a variable are not allowed.
what is the length of the line segment with endpoints (-6,-8) and (7,-8)
Answer:
The length of the line segment is 13 units
Step-by-step explanation:
The line segment joining the two points is horizontal since the y co-ordinate is the same.
For a horizontal line, the length of the line segment is simply the difference between the x co-ordinate values.
In this case we have;
7 - (-6) = 7 + 6 = 13
Therefore, the length of the line segment is 13 units
Answer:
your answer is 13 units
Step-by-step explanation:
I do K12
The table shows ordered pairs of the function y = 8 - 2x.
When x = 8, the value of y is
у
14
10
6
IT
0
L
10
-12
Answer:
-8
Step-by-step explanation:
Simply plug in 8, then evaluate to arrive at your answer.
What is
m∠HLG
?
Enter your answer in the box.
Answer:
18°
P.S. Put as brainiest!
What is the answer to this? I need your help!! 10 points
Answer: 6 units
Step-by-step explanation:
Area = 1/2 (base1 + base2) X height <-------- Formula for a trapezoid
24 = 1/2 (2 + 6) X h <----- We know that the area of the trapezoid is 24 units
squared and that both of the bases are 2 units and 6 units.
24 = 1/2 (8) X h <------- Add 6 + 2
24 = 4 X h <----- Half of 8 is 4
h = 6 <------ 6 X 4 = 24 , therefore the height is 6 units.
Hope this helps!
Mr. Smith is appointed as the principal of a school. In order to keep the building safe, he appoints 2 hall monitors for every hallway, and 4 supervisors for every 20 hall monitors.
Mr. Smith’s school has 30 hallways. How many supervisors does Mr. Smith need to appoint?
A.
12 supervisors
B.
32 supervisors
C.
16 supervisors
D.
24 supervisors
Reset
We know that there are 30 hallways and we know that there are 2 hall monitors for every hallway. Knowing this, we see that there are 60 total hall monitors
We also know that there are 4 supervisors for every 20 hall monitors.
60 hall monitors can also be thought of as 20 hall monitors + 20 hall monitors + 20 hall monitors
We see that there are 3 groups of 20 hall monitors
Group 1 will have 4 supervisors
Group 2 will have 4 supervisors
Group 3 will have 4 supervisors
Answer: 12 supervisors
1.
A photo of a painting has a scale of 3 inches = 2 feet. If the photo is 7.5 inches long, how many feet long is the painting?
45
11.25
5
1.25
Divide the total inches by the scale inches:
7.5 / 3 = 2.5
Multiply that by the scale feet:
2.5 x 2 = 5 feet.
Answer: 5
Step-by-step explanation:
If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?
05(4 + 4) - 6
O 5(5(4)-6) - 6
O 54 – 6 + 54 - 6
o 5(4) - 6 + 5(4) - 6
k(x)=5x-6
k(4)=5(4)-6
(k+k)(4)=k(4)+k(4)
=5(4)-6+5(4)-6
I think.
7x^2/2x+6 divided by 3x-5/x+3
Answer:
[tex]\large\boxed{\dfrac{7x^2}{6x-10}}[/tex]
Step-by-step explanation:
[tex]\dfrac{7x^2}{2x+6}\div\dfrac{3x-5}{x+3}=\dfrac{7x^2}{2(x+3)}\cdot\dfrac{x+3}{3x-5}\\\\\text{cancel}\ (x+3)\\\\=\dfrac{7x^2}{2}\cdot\dfrac{1}{3x-5}=\dfrac{(7x^2)(1)}{(2)(3x-5)}\\\\\text{use the distributive property}\ a(b-c)=ab-ac\\\\=\dfrac{7x^2}{6x-10}[/tex]