Answer:
a
[tex]P(X < 24 )= 21.186\% [/tex]
b
[tex]x = 19.78 \ months[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 26 \ months[/tex]
The standard deviation is [tex]\sigma = 4 \ months[/tex]
Generally 2 year is equal to 24 months
Generally the percentage of total production will the company expect to replace is mathematically represented as
[tex]P(X < 24 )= P(\frac{X - \mu }{ \sigma} < \frac{24 - 26}{4} )[/tex]
Generally [tex]\frac{X - \mu}{\sigma } =Z (The \ standardized \ value \ of \ X )[/tex]
[tex]P(X < 24 )= P(Z < -0.8 )[/tex]
Generally from the z-table
[tex]P(Z < -0.8) = 0.21186[/tex]
So
[tex]P(X < 24 )= 0.21186[/tex]
Converting to percentage
[tex]P(X < 24 )= 0.21186 * 100[/tex]
=> [tex]P(X < 24 )= 21.186\% [/tex]
Generally the duration that should be the guarantee period if Accrotime does not want to make refunds on more than 6% is mathematically evaluated as
[tex]P(X < x) = P(\frac{X - \mu }{\sigma} < \frac{x - 26}{4} )= 0.06[/tex]
=> [tex]P(X < x) = P(Z < \frac{x - 26}{4} )= 0.06[/tex]
From the normal distribution table the z-score for 0.06 at the lower tail is
[tex]z = -1.555[/tex]
So
[tex]\frac{x - 26}{4} = -1.555[/tex]
=> [tex]x = 19.78 \ months[/tex]
A playgroup class has 80 students, and 20 teachers.
Ratio: 80:20
SIMPLIFY THIS RATION DOWN>
Answer: 4:1
Step-by-step explanation:
Divide by two to get in simplest form.
80 ÷ 2 = 40
20 ÷ 2 = 10
Make a ration with 40 and 10.
40:10
Make 40:10 simpler by dividing by 10.
40 ÷ 10 = 4
10 ÷ 10 = 1
Make 4 and 1 into a ration.
4:1
Answer:
4 : 1
Step-by-step explanation:
Given the ratio
80 : 20 ← divide both parts by 20
= 4 : 1 ← in simplest form
A triangle has sides with lengths of 7 millimeters, 8 millimeters, and 10 millimeters. Is it a
right triangle?
Answer:
Depends if you are averaging C or not.
Step-by-step explanation:
Use the pythagorean theorem to solve this.
c = √a^2 + b^2
A and B should be two of your sides and C should equal your third side. If C is incorrect, it is not a right triangle. I plugged in 7 for A and 8 for B. The answer was about 10.63. If you are supposed to round C then yes, it is a right triangle. If you aren't supposed to round C (probably not) then no, It isn't a right triangle.
Write the equation of the line that passes through the point (3,5) and is perpendicular to the line y=3.
x=3
y=5
x=2
y=3
Answer:
x = 3
Step-by-step explanation:
y = 3 is the equation of a horizontal line parallel to the x- axis.
A line perpendicular to it must therefore be a vertical line parallel to the y- axis with equation
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (3, 5) with x- coordinate 3 , thus
x = 3 ← equation of perpendicular line
help pls . .. a a z z z z . zz
Answer:
the lines are perpendicular
what type of number is -15
Answer:
an integer
Step-by-step explanation:
integers are whole number that includes positive number, negative numbers, and zero
What is the missing exponent? and the numerical answer
Answer:
? = -4
Step-by-step explanation:
how to find the square root of 1225
Answer:
35
Step-by-step explanation:
The square root is 35 because if you multiply 35 times 35 ([tex]35^{2}[/tex]), it would equal 1225.
Hope this helps and pls do mark me brainliest if you can:)
slope of one dotted lines:
slope of the reflection line:
Answer:
Slope of dotted lines: 1
Slope of reflection line: -1
Step-by-step explanation:
For the dotted lines, the rise up by one unit and run for one unit, thus their slopes are 1.
For the reflection line, it does the same thing as the dotted line, but instead of rising one unit, it goes down for one unit and runs for one unit, making its slope -1.
The sun produces 3.8 * 10 to the 27 power joules of energy per second. How much energy is produced in a year?
Answer:
1.20 × 10^35
Step-by-step explanation:
There are 60 seconds in 1 min and there are 60 mins in 1 hour. So in an hour there are 60 × 60 = 3600 seconds. There are 24 hours in a day. In a day, there are 3600 × 24 = 86400 seconds. A year is 365 days. So in a year there are 86400 × 365 = 31536000 seconds.
[tex](3.8 \times {10}^{27}) \times 31536000 = 1.20 \times {10}^{35} [/tex]
write an expression for a number that is 5 times greater than 2
For pre-algebra class
Please help thanks i need it thanks a lot for helping me thank you alot
Answer:
x = 5x > 2
or just 5x > 2 ya its that
Step-by-step explanation:
Answer for brainliest!!!! YOU CAN DO IT!!!
what is the question pls.
can you pls tell me
15 points!!!
4x^2 -20x +25≥0
Answer:
x ≥ [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Given equation:
4x² -20x + 25≥0
To solve for x, we simply factorize the equation;
We should find two numbers whose sum = -20 and product is 100
These two numbers are -10 and -10
So;
4x² - 10x - 10x + 25 ≥ 0
factorize;
2x(2x - 5) - 5(2x - 5) ≥ 0
(2x - 5) (2x - 5) ≥ 0
So;
2x - 5 ≥ 0
2x ≥ 5
x ≥ [tex]\frac{5}{2}[/tex]
Write an equation in slope-intercept form if the y-intercept is (0, -4) and the slope is 6?
Answer:
y=6x-4
Step-by-step explanation:
for the y=mx+b format your m is the slope which is 6 and the b is the y intercept which is the 4
The cost y (in dollars) for x yards of fabric is represented by y=4x. Graph the equation.
Answer:
(0,0) (1,4) See the explanation below for the graph.
Step-by-step explanation:
f (0) = 4 x 0 = 0
f (1) = 4 x 1 = 4
(0,0) (1,4) * Remember X1 and Y1, X2 and Y2.
Chris is cutting a roll of cookie dough into pieces that are 1/2 inch thick. If the roll is
10 1/2 inches long, how many pieces can he make?
Answer:
5.25
Step-by-step explanation:
z=b+ma, for a PLS ASAP
Answer:
a= b+m/2
Step-by-step explanation:
The sum of -3/8 and 2 2/3
Answer:
27/24 or (Decimal: 2.291667)
Step-by-step explanation:
Sarah is having a party with 30 people. She has 212 large pizzas at the party. She gives equal amounts of pizza to each person. What fraction of pizza does each person get?
Answer: Everyone would get about 7 pizzas
Step-by-step explanation:
I did 212 divided by 30 which is 7.06666666667 which is closest to 7 then 8 so the answer would be 7. I know this is about right because 7 times 30 is 210 which is closest to 212 then 8*30 which is 240.
i need help plz thank you
Answer:
8 times blank = 48
Good luck!!!
If BC measures 8 inches, the approximate area of circle B is
square inches.
The area of the circle radius as 8 inches will be 201.062 inches².
What is a circle?A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.
In our daily life, we always see circular objects for example our bike wheel.
The longest line which can be drawn inside the circle will be the diameter.
Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.
Given the circle with a radius BC of 8 inches.
Area of circle = πr² where r is the radius of the circle.
So,
Area = π(8)² = 201.062 inches.
Hence "The area of the circle radius as 8 inches will be 201.062 inches².
To learn more about the circle,
https://brainly.com/question/266951
#SPJ2
The given question figure is missing the figure has been attached below;
23.79 divided by 3 estimate
Answer:
Answer: 7.93
Estimate: 8
Answer: 7.93, or to the nearest tenths, 7.9
Express x in terms of y:
3(x + 2y) = 2x = 5y
Answer:
-6y=x
Step-by-step explanation:
3x+6y=2x=5y
Subtract 5y from all
3x+y=2x-5y
subtract y and 2x from both sides
x=-6y
helpp ill mark u as brainlist
Answer:
Proportional graph
Step-by-step explanation:
It is proportional because as the x increases, the y also increases. It maintains the same rate of change.
Answer:
non pro becuase it dont pass the origin
Step-by-step explanation:
5. Do this without using a calculator
Calculate 39 × 63 + 39 × 37
A. 3,510. B. 3,900. C. 4,290. D. 97,812
Answer:
3900
Step-by-step explanation:
Not really sure how to explain this one.
ARF HELP PLS RN jdsodjksldkdks
solve for x: 1/2(x-10)=3/4(x+20)
Answer:
x = -80
Step-by-step explanation:
[tex]\frac{1}{2}(x-10)=\frac{3}{4}(x+20)\\\\\\\frac{1}{2}x-\frac{1}{2}*10=\frac{3}{4}x+\frac{3}{4}*20\\\\\\\frac{1}{2}x-5=\frac{3}{4}x+3*5\\\\\\\frac{1}{2}x-5=\frac{3}{4}x+15\\\\\\\frac{1}{2}x-5-15=\frac{3}{4}x\\\\\\\frac{1}{2}x-20=\frac{3}{4}x\\\\\\-20=\frac{3}{4}x-\frac{1}{2}x\\\\\\-20=\frac{3}{4}x-\frac{1*2}{2*2}x\\\\\\-20=\frac{3}{4}x-\frac{2}{4}x\\\\\\-20=\frac{1}{4}x\\\\\\-20*4=x\\\\\\x = -80[/tex]
Jacob spent $10 of the $25 in his wallet write a decimal that represents the fraction of the $25 Jacob
Answer:
0.4, incase you want it, it also is 40% and [tex]\frac{2}{5}\\[/tex].
Step-by-step explanation:
10/25 =0.4
Hope this helped :D
Help, please. I will give brainliest to anyone that answers first.
Answer:
5000 I think bc 5 times 1000 is 500
Answer:
Step-by-step explanation:
1000 meter = 1 kilometer
1 km= 1000 meter
constant proportionality
y/x=k
y is km , x is meter
1/1000=k
y=1/1000 x (x is the number of meters)
meter Km
250 0.25
12 12/1000=0.012
1 1/1000
kilometer meter
5 5000
20 20000
0.3 300
If it took 7 hours to mow 4 lawns, then at that rate how many lawns can be mowed in
35 hours?
Answer: I'm pretty sure they mowed 61 lawns
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
first divide 4 by 7 to see how much lawn ncan be mowed in an hour
4/7=0.5714
multiply by 35 = 19.9999
so almost 20 lawns
how would a one-fifth in numbers be?