Based on the percentage of the time that the Porches and the Ferraris work, the probability that at least half of both work on a given day is 0.8172.
What is the probability that only half of the cars work?The Porches work 80% of the time and the Ferraris work 60% of the time.
Using the binomial distribution, the probability that half the Porches work is:
= (⁴ₓ) (0.80)ˣ (1 - 80)⁽⁴ ⁻ ˣ⁾
= 0.9728
The probability that half the Ferraris work is:
= (²ₓ) (0.60)ˣ (1 - 60)⁽² ⁻ ˣ⁾
= 0.84
The probability that only half of both will work is:
= 0.9728 x 0.84
= 0.8172
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Find the area of the isosceles triangles with side lengths 16 meters, 17 meters, and 17 meters.
Answer:
120 meters
Step-by-step explanation:
The triangle area using Heron's formula
Heron's formula gives the area of a triangle when the length of all three sides is known. There is no need to calculate angles or other distances in the triangle first. Heron's formula works equally well in all cases and types of triangles.
[tex]T=\sqrt{s(s-a)(s-b)(s-c)} \\[/tex]
[tex]T=\sqrt{25(25-17)(25-17)(25-16)}[/tex]
[tex]T=\sqrt{14400} =120[/tex]
Use the figure to find the measure of each arc for #1-4.
1.) mFE
2.)mBC
3.)mCE
4.)mCFE
5.)m
Answer:
Step-by-step explanation:
Emily ran 4 1/8 miles at track practice on one day and 3 3/4 miles the next day. Her coach said she needed to run 10 miles this week. How many more miles does she need to run?
Answer
2 1/8
Step-by-step explanation 10–7 7/8=(10 – 7) + ( 0–7/8)= 3 +0 × 8 – 7/8= 3 + 08– 78= 3 + 0 – 78= 3 + -7/8 = 2 1/8
Evaluate the following expressions for x=2, y=3 and z=-2
a). 2(x-y)
b). 4x+3y-z
C). -2(3z+y)
[tex]\text{Given that}~ x = 2,~ y = 3 ~ \text{and}~ z = -2\\\\\textbf{a)}\\\\2(x-y)=2(2-3) = 2(-1) = \boxed{-2}\\\\\textbf{b)}\\\\4x+3y-z = 4(2) +3(3) -(-2) = 8+9+2=\boxed{19}\\\\\textbf{c)}\\\\-2(3z+y) = -2[3(-2) +3] = -2(-6+3) = -2(-3) = \boxed{6}[/tex]
Brady borrowed $59.99 from his brother
to buy concert tickets. His brother charges
him a weekly simple interest rate of 3.25%.
Brady pays him back in 4 weeks.
Answer:
Pay back $ 67.79 in four weeks
Step-by-step explanation:
He will have to pay INTEREST FO
59.99 x .0325 x 4 = 7.7987
PLUS the 59.99 that he borrowed
= 67.79
Gail Stough is a customer service representative at an amusement park and earns $8.40 per hour. How much does she make in a week?
please help i’m failing pre calc!!!
Linear function : y = x + 4
Exponential function : y = 4.5 e^(0.144 x)
Power function : y = 4.5 x^0.415
write the equation of the line passing through the point (2,- 1) with a slope of 3
Answer:
Y= 3X-7
Step-by-step explanation:
the equation of the line has the formular
Y-Y1= M (X-X1)
here, M= slope= 3
X1=2 Y1= -1
Y--1= 3(X-2)
Y+1= 3X-6
Y= 3X-6-1
Y= 3X-7
Answer:
y=3x-7
Step-by-step explanation:
1. Use The Slope Formula
y=mx+b
m=slope
b=y-intercept
2. Fill in the given values
y=3x+b
3. Use the given points to solve for b
-1=3*2+b
-1=6+b
-7=b
4. Final equation
y=3x-7
7. From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20 m high building are 45° and 60° respectively as shown in Figure 3. Find the height of the transmission tower.
Answer:
Let DC be the tower and BC be the building. Then,
∠CAB=45
o
,∠DAB=60
o
,BC=20 m
Let height of the tower, DC=h m.
In right △ABC,
tan45 o = AB/BC
1=20/AB
AB=20m
In right∆ABD,
tan 60°=BD/AB
√3=h+20/20
h=20(√3-1)m
You move right 3 units and left 6 units. You end at (-4, -5). Where did you start?
Answer:
(-1 , -5)
Hope this helped you! I would appreciate a Brainliest, if you wouldnt mind!
Really need help and am hoping someone can help me!!
(will give brainlist) please help me !!!! i really need help !!! Properly identify the following functions.
Answer: Choice A
f(x) is exponential
g(x) is quadratic
========================================================
Explanation:
Exponential functions are when the variarble is in the exponent only.
Quadratic functions are polynomials with the largest exponent being 2.
Answer:
f(x) is exponential; g(x) is Quadratic
17. A glider lands 26 miles west and 12 miles south from where it took off. The result of the trip
can be described by the vector (-26, -12).
What is another description of this vector using distance (for magnitude) and direction?
about 29 miles at 25° south of west
about 25 miles at 29° south of east
about 29 miles at 25° south of east
about 25 miles at 29° south of west
By finding the magnitude and bearing, we conclude that the correct option is:
"about 29 miles at 25° south of west"
How to write the vector in polar coordinates?For a vector (x, y), the polar coordinates are the magnitude R and the bearing θ.
Such that:
[tex]R = \sqrt{x^2 + y^2} \\\\\theta = Atan(y/x)[/tex]
In this case, the original vector is (-26, -12), replacing that we get:
[tex]R = \sqrt{(-26)^2 + (-12)^2} = 28.6 \\\\\theta = Atan(-12/-26) = 24.7\°[/tex]
Where the angle is measured from the negative x-axis counterclockwise, so it is South of West.
Then we can describe this vector as:
"About 29 miles at 25° south of west".
The first option is the correct one.
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Amir drove from Jerusalem to the lowest place on Earth, the Dead Sea. His altitude relative to sea level (in meters) as a function of time (in minutes) is graphed. How fast did Amir descend?
The equation for the flowing rate of aamir is as follows y = -12x +360
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
First of all let's write the slope-intercept form of the equation of a line, which is:
y = mx + c
So we just need to find to solve this problem.
Moreover, this problem tells us that Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. So this rate is the slope of the line, that is:
Negative slope because Amir is descending. So:
y = - 12x + b
To find, we need to use the information that tells us that he was at sea level after 30 minutes of driving, so this can be written as the point. Therefore, substituting this point into our equation:
y = -12x + b
0 = -12(30) + b
b = 360
Finally, the equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is:
y = -12x +360
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Answer:
11 meters per minute
Step-by-step explanation:
The rate at which Amir descended is equivalent to the rate of change of this relationship. In linear relationships, the rate of change is represented by the slope of the line. We can calculate this slope from any two points on the line.
Hint #22 / 2
Two points whose coordinates are clearly visible from the graph are
(
0
,
440
)
(0,440)left parenthesis, 0, comma, 440, right parenthesis and
(
40
,
0
)
(40,0)left parenthesis, 40, comma, 0, right parenthesis.
Now, to find the slope, let's take the ratio of the corresponding differences in the
�
yy-values and the
�
xx-values:
0
−
440
40
−
0
=
−
440
40
=
−
11
40−0
0−440
=
40
−440
=−11start fraction, 0, minus, 440, divided by, 40, minus, 0, end fraction, equals, start fraction, minus, 440, divided by, 40, end fraction, equals, minus, 11
The slope of the line is
−
11
−11minus, 11, which means that Amir descended at a rate of
11
1111 meters per minute.
The first and fourth quadrants of a coordinate plane. The horizontal axis is from zero to one hundred with a scale of ten and is titled Paprika in kilograms. The vertical axis is from negative three hundred to five hundred with a scale of one hundred and is titled Profit in dollars. The graph of the line is y equals eight x minus two hundred eighty.
565.948063818 to 1 decimal place.
Answer:
565.9.
Step-by-step explanation:
The second decimal place is 4 so the first one stays at 9.
Sofia works in a clothing store and earns $40 per day. She earns an extra $5 for each outfit she sells. If Sophia wants to earn at least $70 per day, which inequality shows the minimum number of outfits, n, that she should sell
Answer:
70= 5n+40
Step-by-step explanation:
(n=6 if you need it)
Hope this helps! ;-)
In order to find this answer, you will need to be able to make an inequality.
Step 1: Sophia makes $40 so start with that. 40
Step 2: Sophia also makes $5 per every outfit that she sells, so add that plus your variable (n). 40+5n
Step 3: Determine if Sophia wants to make more, equal to or more, less, or less than or equal to than what she wants to make per day. 40+5n *draw a greater than or equal to sign.
Step 4: Sophia wants to make more than or equal to what she makes per day. You will need to find what she wants to make more than. In this she wants to make more than or equal to $70.
Equation: 40+5n *greater than or equal to sign* $70
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Given: f(x) = -2x² +x+6
5.1 Calculate the coordinates of the turning point of f.
Answer:
[tex]\left(\dfrac{1}{4},\dfrac{49}{8}\right)[/tex]
Step-by-step explanation:
Turning points (stationary points) occur when the gradient of a graph is zero.
To find when the gradient of the graph is zero, differentiate the function, set it zero, then solve for x.
Given function:
[tex]f(x)=-2x^2+x+6[/tex]
Differentiate:
[tex]\implies f'(x)=(2)(-2)x^{2-1}+(1)x^{1-1}+6(0)[/tex]
[tex]\implies f'(x)=-4x+1[/tex]
Set the differentiated function to zero and solve for x:
[tex]\implies f'(x)=0[/tex]
[tex]\implies -4x+1=0[/tex]
[tex]\implies 4x=1[/tex]
[tex]\implies x=\dfrac{1}{4}[/tex]
To find the y-coordinate, input the found value of y into the given function:
[tex]\implies f\left(\dfrac{1}{4}\right)=-2\left(\dfrac{1}{4}\right)^2+\left(\dfrac{1}{4}\right)+6[/tex]
[tex]\implies f\left(\dfrac{1}{4}\right)=\dfrac{49}{8}[/tex]
Therefore, the turning point of the function is:
[tex]\left(\dfrac{1}{4},\dfrac{49}{8}\right)[/tex]
answers
f=1/4=49/8
Step-by-step explanation:
identify the coefficients
a=-2, b=1
substitute the coefficient into the expression
x= -1/((2x(-2))
then solve it out the equation
x=1/4
evaluate the function x =1/4
f(x) =-2x²+x+6(1/4)
f=1/4=49/8
According to the box-and-whisker plot shown above, what are the following:
6. The median?
7. The first quartile?
8. The third quartile?
9. The minimum value?
10. The maximum value?
Please help me 6 threw 10 i been asking for help forever i sent in the box
Answer:
median: 80
first q: 60
third q: 100
min: 40
max: 110
Step-by-step explanation:
The median is the middle (piece of data), the middle line in the box. Min is smallest number. Max is biggest number. First quartile is the left side of the box. Third quartile is right side of box.
A shipping box is in the shape of a rectangular prism. it has a volume of 9,000 in.3, and the dimensions of the base are 20 in. by 30 in. what is the height of the box? 15 in. 20 in. 300 in. 600 in.
The height of the shipping box in the shape of a rectangular prism is 15 inches
How to determine the height of the box?The given parameters are:
Volume = 9000 cubic inches
Base dimensions = 20 inches by 30 inches
The height of the prism is then calculated using:
Height = Volume/Base Area
So, we have:
Height = 9000/(20 * 30)
Evaluate
Height = 15
Hence, the height of the shipping box in the shape of a rectangular prism is 15 inches
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Pls Help, I will mark brainliest.
Answer:
5^2
Step-by-step explanation:
..................................................
20. Factor the trinomial.
Factors of 40: (1, 40) (2, 20) (4, 10) (5, 8)
---Using these factors will help us find a pair that adds up to -13 and multiplies to equal 40
-5 + -8 = -13
-5 x -8 = 40
(v - 8)(v - 5)
The trinomial can be factored into the following expression (v - 8)(v - 5).
Hope this helps!
The distribution of the number of words in text messages between employees at a large company is skewed right with a mean of 8.6 words and a standard deviation of 4.3 words. If a random sample of 39 messages is selected, what is the probability the sample mean is more than 10 words?
0.0210
0.2454
0.3724
0.9790
Using the normal distribution and the central limit theorem, the probability the sample mean is more than 10 words is of 0.0210.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem, the parameters are given as follows:
[tex]\mu = 8.6, \sigma = 4.3, n = 39, s = \frac{4.3}{\sqrt{39}} = 0.6885[/tex]
The probability that the sample mean is more than 10 words is one subtracted by the p-value of Z when X = 10, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{10 - 8.6}{0.6885}[/tex]
Z = 2.03.
Z = 2.03 has a p-value of 0.979.
1 - 0.979 = 0.021.
The probability the sample mean is more than 10 words is of 0.0210.
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In a school, 60% of students have access to the internet at home. A group of 8 students is chosen at random. Find the probability that at least 6 students have access to the internet.
contsruction workers resurface parts of the N1 highway . they completed 2km per day how many kilometers are completed in total after the first three years
Answer:
2 190km
Step-by-step explanation:
365×3= 1 095
1 095×2km= 2 190km
Given the range (1, 1), (4, 2), (2, -1), with a coordinate transformation of f(x, y) = (x+2, y-3), what is the domain?
(-1, 4), (2, 5), (0, 2)
(-2, 3), (1, 4), (-1, 1)
(1, 1), (2, 4), (2, -1)
(3, 2), (12, 4), (-12, 2)
Answer:
A.
Step-by-step explanation:
I believe it is A. because there are the numbers that equal all together to get that domain.
What fraction is 3 hours of 30 minutes
Answer:
7/2
Step-by-step explanation:
3 hours and 30 minutes = 7/2 in improper fraction
1 hour = 60 minutes
30 minutes = 30 minutes * 1 hour/60 minutes =30/60 = 1/2 hour
3 hours and 30 minutes:
= 3 hours + 1/2 hour
= 3 1/2 hours
= [(2 * 3)+1]/2
= [6+1]/2
= 7/2
solve for X: -4x - 4 = -4(x+2)
Step-by-step explanation:
X= -4x-4=-4(x+2)
X=-4x-4=-4x-8
X=-4x+4x=-8+4
X=-4
Answer:
so there is no x but it looks like it is undefined
Step-by-step explanation:
-4x - 4 = -4(x+2) 1. multiply -4 with x and 2
-4x - 4 = -4x - 8 2. + 4 on both sides
-4x = -4x - 4 3. +4x on both sides
0 = -4
PLEASE HELP ME WITH THIS QUESTION ASAP!!!
How are monomials multiplied by binomials and trinomials?
At a local pizza place, the cost of a large cheese pizza is $13.99. Each additional topping is $1.25. The Tigerd family orders a large pizza topped with pepperoni, mushrooms, olives, and sausage. How much did their pizza cost? Show your work.
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A triangle has one side that is 4 centimeters long and
one that is 9 centimeters long.
The third side is a whole number of centimeters.
What is the LONGEST possible third side?
( these are the incorrect answers
35 and 9 )
we have three sides, let's look at the two smaller sides first.
check the picture below atop
if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side? Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 9 - 4 = 5. However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle. So whatever the third side may be, it must be greater than 5.
check the picture below at the bottom
Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 4 + 9 = 13. However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle. So whatever the third side may be, it must be less than 13.
