Answer:
\(total \: people =x \\ no \: of \: men = one \: third \: ofx\)
Step-by-step explanation:
men=1/3×
women=1/3×+200
total people=1/3×+1/3×+200
jerome wants to bake two batches of muffins. He can bake two batches of chocolate chip (C), two batches pumpkin, or one batch of each.
The situation presented can be represented using the following letters CC, CP, PC, and PP.
How many combinations are possible in this situation?The possible combinations are:
Two batches of chocolate chip or CC.Two batches of pumpkin or PP.One batch of chocolate chip and another of pumpkin of CP.One batch of pumpkin and another of chocolate chip or PC.Based on this, the option that represents the situation is:
CC, CP, PC, and PP.
Note: This question is incomplete; here is the missing section:
What is the sample space of the event described above?
Answer choices:
a. CC, CP, PC, PP
b. CC, PP
c. CC, CP, PC
d. C, P
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find the measure of CF
Answer:
the exponent of c is vertex to the exponent of C and theme I can solve and finder the digress of 62 and the 47...and then over tool git your toler and the whole number of mCF= 1.89 degrees
Answer:
the exponent of c is vertex to the exponent of C and theme I can solve and finder the digress of 62 and the 47...and then over tool git your toler and the whole number of mCF= 1.89 degree.
step-by-step explanation:
It isnt blurry, free brainlist
Answer:
10. y=3x-1
11. y=-4x+3
12. y=1/3x+4
Step-by-step explanation:
Hope this helps :)
Answer:
Answer:
you said you needed 22,23
22. y=7x-6
23. y=-x
Step-by-step explanation:
use math-way to put in the points
it explains for you
Step-by-step explanation:
-1/2x+3y=-3 in slope intercept form
Answer:
Step-by-step explanation:
Y = mx + b
-1/2 x + 3y = -3
3y = 1/2 x -3
y = 1/6 x - 1
Where slope m = 1/ 6and y intercept b = -1
A piggy bank contains a certain number of coins, of which 53 are dimes and 19 are nickels.The remainder of the coins are quarters.If the probability of randomly selecting a quarter from the bank is 1 by 4, How many quarters does the bank contain?
Answer:
24
Step-by-step explanation:
because 53+19=72 and 72+24=96
96/4=24
For the problem y=-(-x^2/2)-2x; [-3,1], find the value of c that satisfies the Mean Value Theorem.
Answer:
We seek to verify the Mean Value Theorem for the function
f(x)=3x2+2x+5
on the interval
[−1,1]
The Mean Value Theorem, tells us that if
f(x)
is differentiable on a interval
[a,b]
then ∃
c∈[a,b]
st:f'(c)=f(b)−f(a)b−a
So, Differentiating wrt
x
we have:
f'(x)=6x+2
And we seek a value
c∈[−1,1]
st: f'(c)=f(1)−f(−1)1−(−1)
∴6c+2=(3+2+5)−(3−2+5)2
∴6c+2=42
∴6c+2=2
∴6c=0
∴c=0
Find the average value of the functions on the given interval.
Average value of
f\left(x\right)=x [4,9]
The average rate of change of the function over the interval is 1
Finding the average rate of changeFrom the question, we have the following parameters that can be used in our computation:
f(x) = x
The interval is given as
From x = 4 to x = 9
The function is a linear function
This means that it has a constant average rate of change
So, we have
f(4) = 4
f(9) = 9
Next, we have
Rate = (9 - 4)/(9 - 4)
Evaluate
Rate = 1
Hence, the rate is 12
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(13 + 2) divided by (9-4) I have to show my work please help!
Answer:
3
Step-by-step explanation:
\(\frac{(13 + 2)}{(9-4)}=\frac{15}{5}=3\)
Answer:
3
Step-by-step explanation:
13+2= 15 9-4=5. 15÷5=3
Ben has a cellphone plan where he pays $12 per
month plus $.10 per minute of talk time. The equation
y = 0.10x + 12 can be used to find his monthly phone
bill y given the number of minutes x he spends talking.
Which set or inequality represents a reasonable range
of the function?
F. 50, 126
H. 12 … y
G. 0 … y … 12
J. 0 … y
Answer:
H
Step-by-step explanation:
I have done the work before
Solve for the value of x
Answer:
17,420
Step-by-step explanation:
It the same on the other side so you would have to multiply 134 and 130 together which u get 17,420 and when u plug it in and divide it u get 130 degrees
Solve the following using synthetic division: (a^3-9a^3+15a+24)/(a+8)
Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.−8a2+64a−497+4000a+8
After five science tests, Sonya's average score
is 89. If she gets a 95 on the sixth test, what is
her new average?
A. 89.50
B. 89.90
C. 90.00
D. 90.50
Answer:
d d ddddddddddddddddd
32x + 8y =96
A. y = - 4x - 12
B. y =4x - 12
C.y = 4x + 12
D.y =-4x +12
Find the surface area.
15 m
Answer:
706.858347058
Step-by-step explanation:
equation- 4pi(r)^2
Answer:
15 in2
Step-by-step explanation:
3.14 * 15 m=15 in^2
Question
From a point P on a level ground and directly west of a pole, the angle of elevation of the top of the pole is 45° and from point Q east of the pole, the angle of elevation of the top of the pole is 58°. If |PQ|= 10m, calculate, correct to 2 significant figures, the:
a) distance from P to the pole;
b) height of the pole.
a) The distance from point P to the pole is: 6.2 m
b) The height of the Pole is: 6.2 m
How to find the distance and height from angle of elevation?The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.
Now, we are given that:
The angle of elevation of the top of the pole = 45°
Angle of elevation of the top of the pole = 58°.
|PQ|= 10m
a) PR is distance from point P to the pole and using trigonometric ratios, gives us:
PR/sin 58 = 10/sin(180 - 58 - 45)
PR/sin 58 = 10/sin 77
PR = (10 * sin 58)/sin 77
PR = 8.7 m
b) P O can be calculated with trigonometric ratios as:
P O = PR * cos 45
P O = 8.7 * 0.7071
P O = 6.2 m
Now, the two sides of the isosceles triangle formed are equal and as such:
R O = P O
Thus, height of pole R O = 6.2 m
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Solve the inequality and express your answer in interval notation.
x2 - 12x + 5 <0
Answer:
(\(6 - \sqrt{31}\), \(6 + \sqrt{31}\))
Step-by-step explanation:
\(x^{2}-12x+5 < 0\)
To solve this inequality, we can start by completing the square. To do this, we divide the x coefficient (-12) by 2 and then square it. We then add the result to the left side of the equation. To ensure the inequality remains true, we also subtract it.
\(x^{2}-12x+(-6^{2})-(-6^{2}) + 5 < 0\\x^{2}-12x+36-36 + 5 < 0\\\)
We can then express the first trinomial as a perfect square.
\((x-6)^{2} - 31 < 0\)
Add 31 to both sides:
\((x-6)^{2}< 31\)
Then take the square root of both sides:
\(x-6<\) ± \(\sqrt{31}\)
Finally, add 6 to both sides:
x < 6 + \(\sqrt{31}\)
x > 6 - \(\sqrt{31}\)
The solution to the inequality in interval notation is shown by option A
What is inequality?
An inequality in mathematics describes how two expressions relate to one another by indicating whether one expression is greater, smaller, equal to, or not equal to the other. Inequalities are denoted by symbols.
We have to use the quadratic formula that states that;
x < (-b ± √(\(b^2\) - 4ac)) / 2a
So we have that;
x < [12 ± √(\((-12)^2\) - 4 * 1 * 5)] / 2 * 1
Thus we would obtain in the end;
6 - √31 < x < 6 + √31
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3√6/√15
Solve it using radicals please!!!
Answer:
3√10/5
Step-by-step explanation:
\(\frac{3\sqrt{6} }{\sqrt{15} }\)
Rationalize √15
\(\hookrightarrow \frac{3\sqrt{6} }{\sqrt{15}}\times\frac{\sqrt{15} }{\sqrt{15} } \\\\\hookrightarrow \frac{3\sqrt{6} \times\sqrt{15} }{15} \\\\\hookrightarrow \frac{3\sqrt{90}}{15} \\\\\hookrightarrow \frac{3\sqrt{10} }{5} \\\\\)
What type of move takes Figure A to Figure B ?
Answer:
Step-by-step explanation:
Assign a probability to the following event, and give the method used to assign it: What is the probability that a randomly selected day of the week will be a Friday
Answer:
\(\frac{1}{7}\)
Step-by-step explanation:
We know, that probability of an event E, is \(\textrm{P}(\textrm{E})=\frac{\textrm{Number of favorable outcomes}}{\textrm{Total number of outcomes}}\).
Here, there are \(7\) days in a week.
So, total number of outcomes \(=7\).
And only one day, that is, Friday is selected.
So, number of favorable outcomes \(=1\).
Therefore, probability \(=\frac{1}{7}\).
Hence, the probability that a randomly selected day of the week will be a Friday \(=\frac{1}{7}\).
Five people can finish painting a wall in 5 hours.if only 2 people are available,how many hours do they have to work to finish the same job?
Mary has 96 muffins which she needs to box up, 5 of which are blueberry, into dozens. How many boxes dose he need
Answer:
8
Step-by-step explanation:
Mary needs 8 boxes to put 96 muffins in dozens so 96÷12 gives you 8
5 3/4 + 3 1/2
eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
37/4 is the answer
A bank wants to estimate the difference in the proportion of its "big" customers who have a second account with a different bank and the proportion of its "small" customers who also have an account with another bank. Of the 200 “big” customers who were randomly selected, 160 claimed to also bank with other banks. Of the 300 “small” customers who were randomly selected, 120 claimed to also bank with other banks.
Based on the 99% confidence interval (0.297, 0.503), is there convincing evidence of a difference in the proportion of “big” bank customers who bank with more than one bank as compared with the “small” customers who bank with more than one bank?
Because
contained in the interval, there is
to believe there
a difference in the proportion of “big” bank customers who bank with more than one bank as compared to the “small” customers who bank with more than one bank.
Yes, based on the 99% confidence interval (0.297, 0.503), there is convincing evidence of a difference in the proportion of "big" bank customers who bank with more than one bank compared to the "small" customers who bank with more than one bank.
The confidence interval (0.297, 0.503) represents the range of values within which the true difference in proportions between the two customer groups is likely to fall with 99% confidence. Since the interval does not include zero (0), we can conclude that there is a statistically significant difference between the proportions.
To further explain, the confidence interval was constructed using the sample proportions and the standard error. The sample proportion for the "big" customers who bank with other banks is 160/200 = 0.8, and for the "small" customers, it is 120/300 = 0.4. The standard error takes into account the sample sizes and proportions, and it measures the uncertainty in the estimation.
Since the confidence interval does not include zero, it indicates that the true difference in proportions is unlikely to be zero. In other words, there is strong evidence that the proportion of "big" bank customers who bank with more than one bank is higher than the proportion of "small" customers who do the same.
Therefore, based on the provided data and the confidence interval, we can conclude that there is convincing evidence of a difference in the proportion of "big" bank customers who bank with more than one bank compared to the "small" customers who bank with more than one bank.
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Tell whether the ratios are equivalent: 3 miles to 4 minutes and 9 miles to 12 miles. Show your work.
Answer:
they are
Step-by-step explanation:
divide 12*4=3
9*3=3
same ratio
write the slope intercept form:through: (-2, 3), perp. to x=0
write the slope intercept form:
through: (-2, 3), perp. to x=0
we know that
If the line is perpendicular to x=0 (y-axis), then we have a horizontal line
and the equation of a horizontal line (slope is equal to zero) is
y=3A teaching hospital in South-West Part of Nigeria receives on the average 5 pregnant women with high blood pressure per week. What is the probability that on a particular week, the teaching hospital will receive:
1.) No high BP pregnant woman
Answer:
The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
Step-by-step explanation:
We use the Exponential distribution,
Since we are given that on average, 5 pregnant women with high blood pressure come per week,
So, average = m = 5
Now, on average, 5 people come every week, so,
5 women per week,
so, we get 1 woman per (1/5)th week,
Hence, the mean is m = 1/5 for a woman arriving
and λ = 1/m = 5 = λ
we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,
P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,
Now,
P(X>1) = 1 - P(X<1),
Now, the probability density function is,
\(f(x) = \lambda e^{-\lambda x}\)
And the cumulative distribution function (CDF) is,
\(CDF = 1 - e^{-\lambda x}\)
Now, CDF gives the probability of an event occuring within a given time,
so, for 1 week, we have x = 1, and λ = 5, which gives,
P(X<1) = CDF,
so,
\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)
So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
ANSWER ASAP!!! 30 POINTS
Simplify −3r(−14r + 2r − 20).
36r2 + 60r
36r2 + 60
−36r2 − 60r
−36r2 + 60r
Step-by-step explanation:
-3r(-14r + 2r - 20)
-3r(-12r - 20)
36r² + 60r
answer is A or 36r² + 60r
Find the value of X
Answer:
7
Step-by-step explanation:
Since the smaller triangle is similar to the larger, then its' sides are in the same proportion. So:
1/2=2x-6/16
Then:
4x-12=16
4x=28
x=7 ........................
Graph the inequality. y is less than negative one fourth times x minus 3 The graph shows a solid line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading above the line. The graph shows a dashed line passing through the point negative 12 comma 0 and 0 comma negative, 3 with shading above the line. The graph shows a solid line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading below the line. The graph shows a dashed line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading below the line.
A graph of the inequality "y is less than negative one fourth times x minus 3" is: D. The graph shows a dashed line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading below the line.
How to determine the required ordered pair?In order to determine the ordered pair that is included in the solution to this linear inequality, we would first of all translate the word problem into an algebraic equation as follows;
y is less than negative one-fourth times x minus 3 ⇒ y < -x/4 - 3.
Next, we would use an online graphing calculator to graphically solve the linear inequality. Therefore, the required solution for the given linear inequality is the shaded area below the dashed line, which is given by the ordered pairs (−12, 0) and (0, -3).
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Answer:
it’s D dotted line with shading below
Step-by-step explanation:
i got it on my quiz
Please help giving points and brainliest
Option D is correct as both the lines have different angles so they wont intersect each other at any point.
What are angles?An angle is the result of the intersection of two lines.
An "angle" is the length of the "opening" between these two rays. This is what the figure shows.
Angles are commonly measured in degrees and radians, a unit of circularity or rotation.
In geometry, an angle can be created by joining the endpoints of two rays.
These rays are designed to represent the angle's sides or limbs.
The two primary components of an angle are the limbs and the vertex.
The shared vertex is the common termination of the two beams.
Hence, both the lines have different angles so they wont intersect each other at any point.
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