Answer:
=> P(X <= 62500) = P((X-mean)/sd < (62500-65000)/3000)
= P(Z < -0.8333)
= 1 - P(Z < 0.8333)
= 1 - 0.7967
= 0.2033
=> P(X > 68500) = P(Z > (68500-65000)/3000)
= P(Z > 1.1667)
= 0.1210
=> P(60500 < X < 69500) = P((60500-65000)/3000 < Z < (69500-65000)/3000 )
= P(-1.5 < Z < 1.5)
= 0.8664
=> for P(X < x) = 0.03, for Z = -1.88
X = mean + Z*Sd = 65000 - (1.88*3000) = 59360
Step-by-step explanation:
I'm not sure if that correct , I really try my best to help
The required percent of tires last at least 60,000 kilometers is about 91%.
What is the standard deviation?The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation,
To solve this problem, we need to use the standard normal distribution. This is a special type of normal distribution where the mean is 0 and the standard deviation is 1. We can use this to standardize the tire life spans by subtracting the mean (65,000 km) and dividing by the standard deviation (5,200 km).
This gives us a standard normal distribution with a mean of 0 and a standard deviation of 1, and we can use a table or calculator to find the probability of a tire lasting at least 60,000 kilometers.
To do this, we need to find the probability that a tire lasts less than 60,000 kilometers and subtract this from 1. This probability is:
P(tire life < 60,000 km) = P(z < (60,000 - 65,000) / 5,200)
Where z is the standardized tire life span, and the probability is calculated using the standard normal distribution.
Calculating this, we find that P(tire life < 60,000 km) = P(z < -1.346) = 0.0913
Therefore, the probability that a tire lasts at least 60,000 kilometers is 1 - 0.0913 = 0.9087 or about 91%.
Learn more about the standard deviation here:
brainly.com/question/14747159
#SPJ2
David borrows $15,000 for a new car. He is
charged 6% simple interest per year. How much
interest is charged for 5 years?
someone please help me answer this!!
Answer:
8 units is the answer.
Step-by-step explanation:
Pythagorean theorem can be written as,
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(9-9)^2 + (-7-1)^2}\\\\d=\sqrt{(0\\)^2+(-8)^2} \\\\d=\sqrt{64} \\\\d=8[/tex]
∴ d = 8 units
when do we say two points are said to be collinear
Answer:
never heard of that word lol
Step-by-step explanation:
So theres an equation here....
p<_ 7.5
Omar can buy at least_____pairs of socks.
Options:-
1. He can buy at least 7 socks
2. He can buy at most 7 socks
3. He can buy at least 8 socks.
4. He can buy at most 8 socks
ALSO I NEED THIS ASP PLUS BRAINLIEST
10 points tho bc ppl steal points and dont answer :/
Answer:he can buy at least 7 pairs of socks
Step-by-step explanation:
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
New plants and bushes are to be planted along a path that goes around a park. The shape of the park is shown below. What is the distance around the park?
Answer:
640
Step-by-step explanation:
Fhekdgjsddjsbsjsnsdbjsndbdksdbjsssnjsbd
i’ll give you brainliest if you help me please
Answer:
b) 40
Step-by-step explanation:
x + x + 100 = 180
2x + 100 = 180
2x = 80
x = 40
14^-3 x 14^12
positive exponents
Answer:
20661046784
Step-by-step explanation:
I couldn't get the pos exponent but hopefully this helps
Some help if you can i just need it
During the flight of a projectile the x component of the velocity is
A.same during its whole journey
B.maximum when it hits the ground
C. Zero at the highest point
D. Maximum when it leaves the ground
Answer:
D. Maximum when it leaves the ground
can anyone answer these? it would be appreciated:)
Answer:
Step-by-step explanation:
Mike's scores on 5 quizzes he took are shown above. In which month was Mike's quiz score equal to the average of his 5 quizzes? Sept. 72, Oct. 83, Nov. 95, Dec. 77, Jan. 88
Answer:
Oct.
Step-by-step explanation:
average = (72 + 83 + 95 + 77 + 88)/5 = 83
If the distance from A (5,6) to B (1, b) is twice the distance from B to
C(1, -3), determine the possible values of b.
Answer:
The possible values of [tex]b[/tex] are -2.944 and -9.055, respectively.
Step-by-step explanation:
From statement we know that [tex]AB = 2\cdot BC[/tex]. By Analytical Geometry, we use the equation of a line segment, which is an application of the Pythagorean Theorem:
[tex]AB = 2\cdot BC[/tex]
[tex]\sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}} = 2\cdot \sqrt{(x_{C}-x_{B})^{2}+(y_{C}-y_{B})^{2}}[/tex] (1)
Where:
[tex]x_{A}[/tex], [tex]x_{B}[/tex], [tex]x_{C}[/tex] - x-Coordinates of points A, B and C.
[tex]y_{A}, y_{B}, y_{C}[/tex] - y-Coordinates of points A, B and C.
[tex](x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2} = 4\cdot (x_{C}-x_{B})^{2}+4\cdot (y_{C}-y_{B})^{2}[/tex]
Then, we expand and simplify the expression above:
[tex]x_{B}^{2}-2\cdot x_{A}\cdot x_{B} +x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot (x_{C}^{2}-2\cdot x_{C}\cdot x_{B}+x_{B}^{2})+4\cdot (y_{C}^{2}-2\cdot y_{C}\cdot y_{B}+y_{B}^{2})[/tex]
[tex]x_{B}^{2}-2\cdot x_{A}\cdot x_{B} + x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot x_{A}^{2}-8\cdot x_{C}\cdot x_{B}+4\cdot x_{B}^{2}+4\cdot y_{C}^{2}-8\cdot y_{C}\cdot y_{B}+4\cdot y_{B}^{2}[/tex]
If we know that [tex]x_{A} = 5[/tex], [tex]y_{A} = 6[/tex], [tex]x_{B} = 1[/tex], [tex]y_{B} = b[/tex], [tex]x_{C} = 1[/tex] and [tex]y_{C} = -3[/tex], then we have the following expression:
[tex]1 -10 +25 +b^{2} -12\cdot b+36 = 100 -8 +4 +36+24\cdot b +4\cdot b^{2}[/tex]
[tex]b^{2}-12\cdot b +52 = 4\cdot b^{2}+24\cdot b +132[/tex]
[tex]3\cdot b^{2}+36\cdot b +80 = 0[/tex]
This is a second order polynomial, which means the existence of two possible real solutions. By Quadratic Formula, we have the following y-coordinates for point B:
[tex]b_{1} \approx -2.944[/tex], [tex]b_{2} \approx -9.055[/tex]
In consequence, the possible values of [tex]b[/tex] are -2.944 and -9.055, respectively.
Can someone please give me this answer
Answer:
42°
Step-by-step explanation:
According to Exterior Angle Theorem,
an exterior angle of a ∆ is equal to the sum of the opposite interior angles.
So,
h+96°=138°
h=138°-96°
h=42°
PLEASE HELP ME ASAP I WILL GIVE A BRAINLIST!!!!!!!!!!
Answer:
a.
Mean:70.2
Median:60
Mode:85
b.
The mode best supports her claim as it is the highest of the three.
c.
Her claim is misleading as it doesn't reflect the fact that her scores are declining and that she tends to actually do worse than 85 (most of her scores are below 85)
Step-by-step explanation:
a.
The mean is the sum of all the terms, divide by the amount of terms:
(85+85+60+62+59)/5=351/5=70.2
The median is the middle-most number in the set 85,85,60,62,59: 60
The mode is the most common number in the set 85,85,60,62,59: 85
b.
The mode best supports her claim as it is the highest of the three.
c.
Her claim is misleading as it doesn't reflect the fact that her scores are declining and that she tends to actually do worse than 85 (most of her scores are below 85)
Mr and mrs smith buy tickets for themselves and their four children. the cost of an adult ticket is ? 6 more than the adult ticket. the total cost of the six tickets is ? 40.50 work out the cost of an adult ticket. in your working let c be the cost of the child ticket and a be the cost of the adult ticket.
Answer:
child's ticket = 4.75 adult ticket=10.75.
Step-by-step explanation:
The cost of an adult ticket is 6 more than that of a child ticket, so will be denoted by c+6. Now, we are told that the cost of four child tickets and two adult tickets is 40.50, so we can put this in an equation and solve for c:
(c+6)+(c+6)+c+c+c+c=40.50
6c+12=40.50
6c=28.50
c=4.75
Therefore the cost of a child's ticket (c) is 4.75 and the cost of an adult ticket (c+6) is 10.75.
A rectangular blanket is 2x + 1 feet wide and 4x - 3 feet longWhat is the area in terms of x?
Answer:
3/4
Step-by-step explanation:
So remembering the length times width formula:
Put it in an equation-
(2x+1)(4x-3)
Now start to solve for x:
Multiply using 'foil' method:
(2x+1)(4x-3)
8x -6x + 4x -3
8x -2x -3
Now, factrorize 8x^2 - 2x - 3: (Put a square since this is square measures)
8x^2 - 2x - 3 Sum = -2
Product = -24
Two numbers that give you the sum of -2 and product of -24:
-6 and 4
So now factor out like terms:
8x^2 -6x + 4x -3
2x(4x - 3) + 1(4x - 3)
(2x + 1) (4x-3) = 0
Solve for x in both:
2x + 1 = 0
x = -1/2
4x - 3 = 0
x = 3/4
The area cant be negative so the area in terms of x is:
x = 3/4
(Hope this helped)
what's the sum of 1,015 and 119
2(x+1)=3x+5. solve for x
Answer:
x = -3
Step-by-step explanation:
A circle's radius is 14 centimeters.
What is the circle's circumference (use 3.14 for pi and round to
nearest tenth)?
Answer:
seeee this is y i hate math too many numbers XD
You start driving north for 8 miles, turn right, and drive east for another 6 miles. At the end of driving, what is your straight line distance from your starting point?
Answer:
I think you are asking the total distance isn't? The straight line distance from your starting point 14 miles.I've added both miles to get the total distance
Step-by-step explanation:
please if I'm wrong or my answer doesn't match the with the answer's book tell me right away I try another method.
The exact value of X
Answer:
x = 92
hope this answer helps you......
The correct answer
x = 14
Pythagorean theorem
50=c
48=b
?=a
a=√(50²-48²)
a=14
14#
Given the data set, calculate the range and the mode:
{9, 3, 1, 8, 3, 6}
Hii! I really need help on this with the spree that answers! For 30 points. I don’t wanna waste my points so make sure your answer is right.
Step-by-step explanation:
1. K = 13 (13+5=18)
2. X= 36 (36-12=24)
3. Y = 14 (17=3+14)
4. Z= 24(22=24-2)
5. A=7 (divide both sides by 4)
6. H=12 (12/6=2)
7. B= 10 (100=10*10)
8. Y=42 (6=42/7)
I'm pretty sure that this is correct.
Find the volume of the sphere. Round to the nearest tenth.
The volume is about _____ cubic meters.
What is the inverse of y=2x^2-8
Answer:
f − 1 ( x ) = √ 2 ( x + 8 ) /2 , − √ 2 ( x + 8 ) /2
keep it under whole root
Step-by-step explanation:
WALK-A-THON WALE
SPONSOR SHEET MA
Manuel
NAME
9. Make Sense and Persevere Beth, Manuel, and Petra
are collecting sponsors for a walk-a-thon. The equation
y= 20x represents the amount of money Beth raises
for walking x miles. The table shows the relationship
between the number of miles Manuel walks and the
amount of money he will raise. Petra will earn $15 for
each mile that she walks.
a. In order to compare the proportional relationships,
what quantities should you use to find the unit rate?
MILES WALKED
3
5
7
9
MONEY RAISED
$45
$75
$105
$135
b. Compare the amount of money raised per mile by the three people.
what is the fraction form of .8
1. Verizon Wireless would like to estimate the proportion of households that use cell phones for their phone service without a land line. A random sample of 150 households was selected and 48 relied strictly on cell phones for their service. Based on the sample, construct a 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone service.
Answer:
The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A random sample of 150 households was selected and 48 relied strictly on cell phones for their service.
This means that [tex]n = 150, \pi = \frac{48}{150} = 0.32[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 - 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.2453[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 + 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.3947[/tex]
The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).
S - 4= -8
What is S?
Answer:
S = -4
Step-by-step explanation:
-8 minus -4 is basically -8-(-4) which converts to -8+4, and the result of that is -4.
Answer:
s-4+4=-8+4
s=-4
Step-by-step explanation:
x is equal to -4
Each side length is doubled. What is the PERIMETER of the new figure?
Answer:
24 units
Step-by-step explanation:
Original perimeter:
5+4+3=12
When each side length is doubled, the original perimeter is doubled.
12*2=24
Answer:
if the length of each side is is doubled then
5×2 = 10
4×2 = 8
3×2 = 6
perimeter of new figure = 10 + 8 + 6
= 24 units
hope this helps good day mate