Answer: 0.2743
Step-by-step explanation:
Let X be a random variable that represents the weight of bags of grasecks chocolate candoes.
X that follows normal distribution with, Mean = 4.3 ounces, Standard devaition = 0.05 ounces
The probability that a bag of these chocolate candies weighs less than 4.27 ounces :[tex]P(X<4.27) =P(\dfrac{x-\mu}{\sigma}<\dfrac{4.27-4.3}{0.05})[/tex]
[tex]=P(z<-0.6)\ \ \ z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(Z<0.6)\\\\=1-0.7257\ [\text{ By p-value table}]\\\\=0.2743[/tex]
Hence, the required probability = 0.2743
The probability that a bag of these chocolate candies weighs less than 4.27 ounces is 0.2743
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Let X be a random variable that represents the weight of bags of grasses chocolate candies.
X that follows normal distribution with, Mean = 4.3 ounces, Standard devaition = 0.05 ounces
The probability that a bag of these chocolate candies weighs less than 4.27 ounces :
[tex]P(x < 4.27)=P[\dfrac{x-\mu}{\sigma} < \dfrac{4.27-4.3}{0.05}[/tex]
P ( x < 4.27 ) = P ( z < -0.6 )
P ( x < 4.27 ) = 1 - P ( z < -0.6 )
P ( x < 4.27 ) = 1 - 0.7257
P ( x < 4.27 ) = 0.2743
Hence,the probability that a bag of these chocolate candies weighs less than 4.27 ounces is 0.2743
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#SPJ5
Gravitational potential energy and kinetic energy make up what type of energy?
A. mechanical
B. chemical
C. electrical
D. sound
Answer:
A
Step-by-step explanation:
i hope this is right
What is the missing expression?
x 8 + 3x 5 = x5(_____)
x + 3
x2 + 3
x3 + 3
Answer:
x³ + 3
Step-by-step explanation:
Given
[tex]x^{8}[/tex] + 3[tex]x^{5}[/tex] ← factor out [tex]x^{5}[/tex] from each term
= [tex]x^{5}[/tex](x³ + 3 )
Answer:
x^3 + 3
That's your answer!!
The Maximus Electric Company will increase employee's yearly wages by 2.5% next year. An employee whose
yearly wages this year total $45,000 will earn what total yearly wages next year
Answer:
46,125
Step-by-step explanation:
2.5% = .025
45,000 * .025 = 1,125
45,000 + 1,125 = 46,125
What is the perimeter of a square with a side length of 2x?
Please help :)
Answer:
8x
Step-by-step explanation:
perimeter is sum of all sides
square has 4 equal sides
each side measures '2x'
2x + 2x + 2x + 2x = 8x or 4(2x) = 8x
Jacks father drives to work in 30 minutes while driivng at his usual speed. When traffic is bad, he drives 30 miles per hour slower and the trip takes one hour longer. How far is Jack's father's work from home
Answer:
The distance of Jack's father's work from home is 22.5 miles.
Step-by-step explanation:
Given;
time it takes Jacks father at usual speed, t = 30 minutes = 0.5 hour
Jacks father speed when traffic is bad, = 30 mph slower
let the usual speed = v
let the distance of Jack's father's work from home = y
When traffic is normal;
[tex]v = \frac{y}{0.5 } ---- equation \ (1)[/tex]
When traffic is bad;
[tex]v - 30 \ mph = \frac{y}{1 \ + \ 0.5} \\\\v -30 = \frac{y}{1.5} \\\\v= 30 +\frac{y}{1.5} ----equation \ (2)[/tex]
Solve equation (1) and (2) together;
[tex]\frac{y}{0.5} = 30 \ + \ \frac{y}{1.5} \\\\y = 0.5(30 \ + \ \frac{y}{1.5})\\\\y = 15 + \frac{y}{3} \\\\y - \frac{y}{3} = 15\\\\\frac{3y-y}{3} =15\\\\\frac{2y}{3} =15\\\\2y = 3(15)\\\\2y = 45\\\\y = \frac{45}{2} \\\\y = 22.5 \ miles[/tex]
Therefore, the distance of Jack's father's work from home is 22.5 miles.
The required distance of Jack's father's work from home is y = 22.5miles.
Given that,
Jacks father drives to work in 30 minutes while driving at his usual speed.
When traffic is bad, he drives 30 miles per hour slower and the trip takes one hour longer.
We have to determine,
How far is Jack's father's work from home.
According to the question,
Let, the usual speed = v
And the distance of Jack's father's work from home = y
Jacks father at usual speed taking time, t = 30 minutes = 0.5 hour,
Jacks father speed when traffic is bad, = 30 mph slower.
The formula for speed is defined as = distance ÷ time.
Therefore,
Jacks father drives to work in 30 minutes while driving at his usual speed.
[tex]Speed = \dfrac{distance}{time}\\\\v = \dfrac{y}{0.5}[/tex]
Then,
When traffic is bad, he drives 30 miles per hour slower and the trip takes one hour longer.
[tex]Speed = \dfrac{distance}{time}\\\\v - 30mph = \dfrac{y}{1+0.5}\\\\v = \dfrac{y}{1+0.5} + 30[/tex]
Substitute the value of v from equation 1 to equation 2,
[tex]v = \dfrac{y}{1+0.5} + 30\\\\\dfrac{y}{0.5} = \dfrac{y}{1.5} + 30\\\\\dfrac{y}{0.5} = \dfrac{y +30(1.5)}{1.5}\\\\y (1.5) = 0.5(y +45)\\\\1.5y = 0.5y + 22.5 \\\\1.5y - 0.5y = 22.5\\\\1y = 22.5\\\\y = 22.5 \ miles[/tex]
Hence, The required distance of Jack's father's work from home is y = 22.5miles.
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Pleaseeeee hellpppp :(
Answer:
1
Step-by-step explanation:
To find the solutions (or, in other words, zeroes) of a quadratic function/equation we use the discriminant (the part that's inside the square root of the quadratic formula, [tex]b^2-4ac[/tex].)
If the discriminant is smaller than 0, there are no zeroes
If the discriminant is equal to 0, there is one zero
If the discriminant is larger than 0, it has two zeroes
The discriminant is commonly denoted as [tex]\Delta[/tex].
Tray has $50 and receives $8 a week for allowance. He wants to save all of his money to buy a new mountain bike that costs $499. Write an arithmetic sequence to represent the situation. Then find whether Tray will be able to afford the new bicycle after one year (52 weeks).
Answer:
Solution is in photo
Step-by-step explanation:
Factor out the coefficient of the variable -3.6m + 10.8
Answer: -1
Step-by-step explanation: First, factor out 3.6. You should get -m+3. Since the coefficient is just the number being multiplied to the variable (which is m here), your coefficient should be -1 because m is being multiplied to -1 to make -m. Hope this helps!
Pls help and show working due ASAP
Please
Answer:
Option B
Step-by-step explanation:
In a triangle , sum of measure of any 2 sides is always greater than the measure of the third side. So
[tex]5 + 12 > k[/tex]
[tex] = > 17 > k[/tex]
Hence the measure of k is less than 17.
In the triangle , measure of the longest side is 12 cm. As we know that sum of measure of any 2 sides of triangle is greater than the measure of third side , the value of k should be more than 7cm because if the value of k would be 7 , then 5 + 7 = 12 and the sum will get equal to the measure of longest side , hence such triangle wont exist.
Atlast , the range of k is :-
[tex]7 < k < 17[/tex]
A group of friends wants to go to the amusement park. They have no more than $175
to spend on parking and admission. Parking is $12.50, and tickets cost $16.25 per
person, including tax. Write and solve an inequality which can be used to determine
2, the number of people who can go to the amusement park.
Answer: 10 people can/ 12.50+16.25x is less than or equal to 175
Step-by-step explanation: so parking is constant since it doesn't change. ticket price however is affected by a variable which represents ticket per person which is shown as 12.50(parking)+16.25x where x would equal the max amount of people while respecting the given 175 limit we cannot go over
Answer:
"Can you add the equation?"
That's exactly what I'm asking, I asked a question that's very similar to this one, but nobody seems to know an equation that can be created :(
Step-by-step explanation:
If I solve the problem and create an equation, I'll let you know
I got you.
Inequaility : 12.50 + 16.25x ≤ 174
I think it's gonna be
x ≤ 10
help plz i’ll give extra points <3
Which expression is equivalent to 5/6c + 76c, if c+ 0?
Answer:
0
Step-by-step explanation:
If c=0
that expression also equals 0
Plsss i really need help.
Answer:
im not sure but i think its correct (like 80-90%)(but probably not but u can use this method to find the correct answer)
Step-by-step explanation:
a) 25+40= 65 (x) 10= 650/2= 325
b) 325 (x) 50= 16,250cm
c) 325 (x) 2= 650
20 (x) 50= 1000
50 (x) 40= 2000
15 (x) 50= 750
25 (x) 50= 1250
then, just add eveything above should be 5,650cm^2
Please help I don’t understand
Answer:
Line m and n are parallel lines that are intersected by a line
This means that corresponding angles in each line are equal to each other
This means that angle (3x+58) is equal to (5x)
now, we can solve for x and from there find the angle measure
(3x+58)=5x
3x-3x+58=5x-3x
58=2x
58/2=2x/2
29=x
if 29=x then 5(29)=5x
the angle measure of these angles is 145
Step-by-step explanation:
Answer:
Step-by-step explanation:
m // n and they are intersected by transversal.
Corresponding angles are equal
5x = 3x + 58
5x - 3x = 58
2x = 58
x = 58/2
x = 29
Which expression can you use to find the area of the rectangle?
Answer:
The formula for area of a rectangle is: A = L * W where L is the length and W is the width. where S is the length of one side.
The expression A=LW is used to find the area of the rectangle.
We have to determine
The expression can you use to find the area of the rectangle.
What is the formula for the area of a triangle?The formula for the area of a rectangle is: A = L * W
where L is the length and W is the width.
where S is the length of one side.
Therefore the expression A=LW use to find the area of the rectangle.
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If he divides his land into square fields that are 1/2 mile long and 1/2 mile wide , how many fields will he have??
Answer:
that would be 1
Step-by-step explanation:
i divided the 2 fractions and got 1
what is the y-intercept and x-intercept of f(x) =400-45x
Answer:
y-intercept=400 x intercept=8
Step-by-step explanation:
It cost Eva $7.80 to send 60 text messages. How much does each text cost to send?
Marco wants to buy a new smartphone that costs $495. He has already saved $75. Write and solve an inequality to find the least amount of money,
m, that Marco still needs to save before he can buy the smartphone. Enter your answer in the box
Marco needs to save at least $
Answer:
495-75=420 so
(−10,7)∪(7,11)(−1,2)∪(−4,0)[−1,9)∪(2,10]
Step-by-step explanation:
420 is that Marco still needs to save before he can buy the smartphone.
Here's a screenshot of the answer below:
At Pizza Pi, 55% of the pizzas made last week had extra cheese. If 11 pizzas had extra cheese, how many
pizzas in all were made last week?
What would the UNIT RATE be for 90 miles in 5 hours be
Answer:
90/5 = 18 mph
Find the area of the above parallelogram
Answer:
30 units²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
Here
b is the horizontal measure between 2 red points, that is 6
h is the vertical measure from the lower left point to the other horizontal line, that is 5, then
A = 6 × 5 = 30 units²
Find the value of x?
A.45
B.22
C.82
D.56
Answer:
B
x = 22
Step-by-step explanation:
2x + 8 + 3x + 5 = 123 (external angle in a triangle = the two opposite angles)
5x = 123 - 13
5x = 110
x = 22
Answer: B
Step-by-step explanation:
By the Exterior Angle Theorem, we know that the exterior angle is equal to the sum of the two opposite interior angles.
(2x+8)+(3x+5)=123 [combine like terms]
5x+13=123 [subtract both sides by 13]
5x=110 [divide both sides by 5]
x=22
Now, we know that the answer is B.
A 25 ft ladder leans against a building. The ladder’s base is 13.5 feet from the building. Find the angle of elevation, which the ladder makes with the ground.
Answer:
57.3°
Step-by-step explanation:
A 25 feet ladder leans against a building.
The ladder's base is 13.5 feet from the building.
The ladder, the wall of the building and the ground form a right-angled triangle of:
Hypotenuse = 25 feet
Base = 13.5 feet
We are to find the angle of elevation which the ladder makes with the ground (or rather the angle created by hypotenuse and base)
Let's say the angle = X°
According to a trigonometric equation;
cos X° = adjacent side ÷ hypotenuse = [tex]\frac{13.5}{25}[/tex] = 0.54
[tex]cos ^{-1} X[/tex] = 57.5=3° (Answer rounded up to nearest one decimal place).
∴ The angle of elevation = 57.3°
Andre’s math teacher has 24 kids in the class. How many different ways can he arrange groups for an activity?
Answer:
divide by 5
Step-by-step explanation:
list the factors of 5 to get 24 like 5x4=24
Please help me out here! Precalc :))
Domain are the x values where the line starts and stops.
A bracket is used for a solid circle and a parentheses is used for open circles
The answer would be the second choice: (1,2)
1/2x2000
Number 2 question
Answer: 1000
Step-by-step explanation: 1/2x2000 = 1000
help!!!!!!!!!!!!! I really need help!!!!!!!!!!!!!!!
Answer:
5/9 or 0.5555 repeating [tex]m^{2}[/tex]
Step-by-step explanation:
(5/6 x 2/3)
please help me if you can, thank you so much
Compound interest
Al invests some money in a bank that pays 5% compound interest per year
She wants it to be worth £8000 at the end of 3 years
What is the smallest amount she could invest?
Answer:
£6886
Step-by-step explanation:
P x e^r x t is the formula for compound interest
P x e^0.05 x 3 = 8000
P x 1.162 = 8000
P = 6885.66 = £6886 (round to the nearest pound)
Answer: £6910.71
Step-by-step explanation:
im not sure but i got this
