If x is his speed, and the speed limit is 65 mph, then the inequality [tex]x > 65[/tex] represents him going over the speed limit.
The inequality [tex]x \le 65[/tex] is when Jerry isn't over the speed limit (so he's going either 65 mph or slower than this).
A candy store makes 6 1/2 pounds of fudge in 1/4 hr how many pounds of fudge can the store make in 1 hr
Answer:
26 lbs
Step-by-step explanation:
there are four 1/4 hours in an hour 1/4 x4=1 hour
6 1/2 x4= 26 lbs in an hour
Write the equation for a line which is parallel to the y-axis but contains the point (3,7).
Help I’ll mark you as the brainliest...there are no other info or answer choices
Answer:
y=3x-2
Step-by-step explanation:
find the equation of the line parallel to the line y=3x+7 passing through the point (3,7).
In a process that manufactures bearings, 90% of the bearings meet a thickness specification. A shipment contains 500 bearings. A shipment is acceptable if at least 440 of the 500 bearings meet the specification. Assume that each shipment contains a random sample of bearings. a. What is the probability that a given shipment is acceptable? b. What is the probability that more than 285 out of 300 shipments are acceptable? c. What proportion of bearings must meet the specification in order that 99% of the shipments are acceptable?
Answer:
(a) 0.94
(b) 0.20
(c) 90.53%
Step-by-step explanation:
From a population (Bernoulli population), 90% of the bearings meet a thickness specification, let [tex]p_1[/tex] be the probability that a bearing meets the specification.
So, [tex]p_1=0.9[/tex]
Sample size, [tex]n_1=500[/tex], is large.
Let X represent the number of acceptable bearing.
Convert this to a normal distribution,
Mean: [tex]\mu_1=n_1p_1=500\times0.9=450[/tex]
Variance: [tex]\sigma_1^2=n_1p_1(1-p_1)=500\times0.9\times0.1=45[/tex]
[tex]\Rightarrow \sigma_1 =\sqrt{45}=6.71[/tex]
(a) A shipment is acceptable if at least 440 of the 500 bearings meet the specification.
So, [tex]X\geq 440.[/tex]
Here, 440 is included, so, by using the continuity correction, take x=439.5 to compute z score for the normal distribution.
[tex]z=\frac{x-\mu}{\sigma}=\frac{339.5-450}{6.71}=-1.56[/tex].
So, the probability that a given shipment is acceptable is
[tex]P(z\geq-1.56)=\int_{-1.56}^{\infty}\frac{1}{\sqrt{2\pi}}e^{\frac{-z^2}{2}}=0.94062[/tex]
Hence, the probability that a given shipment is acceptable is 0.94.
(b) We have the probability of acceptability of one shipment 0.94, which is same for each shipment, so here the number of shipments is a Binomial population.
Denote the probability od acceptance of a shipment by [tex]p_2[/tex].
[tex]p_2=0.94[/tex]
The total number of shipment, i.e sample size, [tex]n_2= 300[/tex]
Here, the sample size is sufficiently large to approximate it as a normal distribution, for which mean, [tex]\mu_2[/tex], and variance, [tex]\sigma_2^2[/tex].
Mean: [tex]\mu_2=n_2p_2=300\times0.94=282[/tex]
Variance: [tex]\sigma_2^2=n_2p_2(1-p_2)=300\times0.94(1-0.94)=16.92[/tex]
[tex]\Rightarrow \sigma_2=\sqrt(16.92}=4.11[/tex].
In this case, X>285, so, by using the continuity correction, take x=285.5 to compute z score for the normal distribution.
[tex]z=\frac{x-\mu}{\sigma}=\frac{285.5-282}{4.11}=0.85[/tex].
So, the probability that a given shipment is acceptable is
[tex]P(z\geq0.85)=\int_{0.85}^{\infty}\frac{1}{\sqrt{2\pi}}e^{\frac{-z^2}{2}=0.1977[/tex]
Hence, the probability that a given shipment is acceptable is 0.20.
(c) For the acceptance of 99% shipment of in the total shipment of 300 (sample size).
The area right to the z-score=0.99
and the area left to the z-score is 1-0.99=0.001.
For this value, the value of z-score is -3.09 (from the z-score table)
Let, [tex]\alpha[/tex] be the required probability of acceptance of one shipment.
So,
[tex]-3.09=\frac{285.5-300\alpha}{\sqrt{300 \alpha(1-\alpha)}}[/tex]
On solving
[tex]\alpha= 0.977896[/tex]
Again, the probability of acceptance of one shipment, [tex]\alpha[/tex], depends on the probability of meeting the thickness specification of one bearing.
For this case,
The area right to the z-score=0.97790
and the area left to the z-score is 1-0.97790=0.0221.
The value of z-score is -2.01 (from the z-score table)
Let [tex]p[/tex] be the probability that one bearing meets the specification. So
[tex]-2.01=\frac{439.5-500 p}{\sqrt{500 p(1-p)}}[/tex]
On solving
[tex]p=0.9053[/tex]
Hence, 90.53% of the bearings meet a thickness specification so that 99% of the shipments are acceptable.
The manufactures bearings.
As per the question, the process that a manufacturer bears 90% of the bearings and meet the thickness specifications. The shipment consists of 500 bearings. The shipment if taken has a least 440 and 500 bearings.
the answer is 0.94, 0.20, and 90.53%.
The assumption is that each shipment is randomly taken in a sample of bearings. The chances or the probability that that given shipment are acceptable are 0.94% and the probability that they are more than 285 out of the 300 bearings is 0.205. The part of bearings that must meet the specifications in order to be 99% of shipments is 90.5%.Learn more about the manufactures bearings.
brainly.com/question/15686369.
how to solve this equation x²=16
Step-by-step explanation:
Hey there!
To solve this type of question, you must take square of variable"X" to right side making it ±squareroot. As it is a quadratic equation it will have two values (±).
Given;
[tex] {x}^{2} = 16[/tex]
Taking (square) to right side. It becomes ± square root.
[tex]x = + - \sqrt{16} [/tex]
[tex]x = + - \sqrt{ {4}^{2} } [/tex]
Cancel square and square root.
[tex]x = + - 4[/tex]
Therefore, X = ±4
Hope it helps...
Answer:
There are two I results found which is x=4 and x=-4
Step-by-step explanation:
Step by Step Solution:
More Icon
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x^2-(16)=0
Step by step solution :
STEP
1 :
Trying to factor as a Difference of Squares:
1.1 Factoring: x2-16
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 16 is the square of 4
Check : x2 is the square of x1
Factorization is : (x + 4) • (x - 4)
Equation at the end of step
1 :
(x + 4) • (x - 4) = 0
STEP
2 :
Theory - Roots of a product
2.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
2.2 Solve : x+4 = 0
Subtract 4 from both sides of the equation :
x = -4
Solving a Single Variable Equation:
2.3 Solve : x-4 = 0
Add 4 to both sides of the equation :
x = 4 and/or x=-4
67 times a number minus 65 is equal to -4 less than the number
Answer:
Translation is 67x-65=x-4, you can use any variable for the number.
Step-by-step explanation:
3. Give the domain of y= √6-X using set builder notation.
Answer:
{x | x ≤ 6}
Step-by-step explanation:
Given
y = √(6 - x)
Required
Determine the domain
We start by setting 6 - x to ≥ 0.
i.e.
6 - x ≥ 0
Add x to both sides
6 - x + x ≥ 0 + x
6 ≥ x
This can be rewritten as
x ≤ 6
Using set builder, the above van be represented as: {x | x ≤ 6}
which subsequent true/false statement is true?
Answer:
True is corect
Step-by-step explanation:
true = true
70-21.45=?
I need a answer fast and it is worth 25 points
Answer:
48.55
Step-by-step explanation:
Answer:
48.55
Step-by-step explanation:
Convert 70 into 70.00 and then it will be easier to subtract.
Let p: x = 4
Let q: y = -2
Which represents "If x = 4, then y=-2
Question 9 of 10 What is the scale factor of ABC to DEF?
394434
3,757
Hi My name is Ella and I need help
Answer:
39,443
-
3,757=
36, 3 1 1 4
16-3p=3/2p+5 solve for P
Use the drop-down menus to complete the sentences:
The terminal ray of an angle measuring -10/9pie at lies in the
quadrant.
This angle measures
Answer:
1. second
2. -200
Step-by-step explanation:
Just did it on e2020
Pls help I will give out points and make u the Brainly
Answer:
x=4
Step-by-step explanation:
thats the answer ^^
Answer:
its the second one
On which interval are both the sine and cosine functions increasing?
A (3pi/2, 2pi)
B (pi/2, pi)
C (0, pi)
D (pi, 3pi/2)
Answer: It’s A
Step-by-step explanation:
On the interval (3π/2, 2π), both the sine and cosine functions are increasing.
What are the values of sine and cosine functions at (0, π/2, π, 3π/2, 2π)?The values of sine and cosine functions at (0, π/2, π, 3π/2, 2π) are as follows:
sin (0) = 0; cos (0) = 1
sin (π/2) = 1; cos (π/2) = 0;
sin (π) = 0; cos (π) = - 1
sin (3π/2) = - 1; cos (3π/2) = 0
sin (2π) = 0; cos (2π) = 1
Therefore, it is clear from the above values of sine and cosine that on the interval (3π/2, 2π), both the sine and cosine functions are increasing.
Learn more about the values of sine and cosine functions here:https://brainly.com/question/17954123
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what fraction is equivilent to 2/-6?
Answer:
2/6 is equivilent to 1/3
Step-by-step explanation:
You simplify it and then divide by the biggest number that goes into both.After,dividing you get 1/3.Your welcome.
x to the 5 power times x to the 8 power time x to the 0 power
idk i am in 6th grade idk
which number line model represents the expression -2+ (- 7/2)
Answer: -5.5
Step-by-step explanation:
(; -2= 7/2
-5+ 7 =12
12/2=5
If AABC = ADEC,
ZB = 3x and ZE = 6x - 39
Answer:
x = 13
Step-by-step explanation:
3x = 6x - 39 solve for x
While jumping rope, Juan jumped 24 times in 30 seconds. At this rate, how many times will he jump in 50 seconds?
Answer:
40
Step-by-step explanation:
In 50 times Juan will jump 40 times.
What is unitary method ?Unitary method is first finding the value of a single unit and then deriving the required units from the given data.
For example - : A can eat 2 bananas in 2 seconds.So he can eat one banana in 1 second.From this we can calculate how many bananas he can eat in any given time.
According to the given question Juan jumped 24 times in 30 seconds.
∴ In 1 sec Juan will jump 24/30 times which is
= 4/5 times.
So, in 50 secs Juan will jump ( 4/5 × 50 ) = 40 times.
learn more about unitary method here :
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i do not understand ): please help
Answer: its 5 and -1 so D
Step-by-step explanation: In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression. In the latter case, the variables appearing in the coefficients are often called parameters, and must be clearly distinguished from the other variables
How do you do this question?
Answer:
∫₁⁵ 2t (t² + t³) dt
Step-by-step explanation:
The area is ∫ₓ₁ˣ² y dx. To parameterize, replace x₁ and x₂ with t₁ and t₂. Replace y = f(x) with y = f(t), and replace dx with (dx/dt) dt.
x = 5 + t², so dx = 2t dt.
∫₁⁵ (t² + t³) (2t dt)
∫₁⁵ 2t (t² + t³) dt
What is the equation of the line that passes through the point (-8,5) and has a slope
of o?
Answer: y = 5
Step-by-step explanation:
If the slope is 0, the graph of the line is a horizontal line (parallel to the x-axis). 0 slope means it is flat.
Here it passes through the y-axis at +5 and passes through every value of x.
The length of a rectangle is 3 less than twice the width. The perimeter of the rectangle is 66. Find the length and width of the rectangle.
Answer:
(2w-3)2+2w=66
4w-6+2w=66
6w=66+6
6w=72
w=12
l=24-3
l=21
8. How many ounces of liquid are in 4 gallons
Answer:
512 ounces
Step-by-step explanation:
Answer:
512 ounces of liquid
Step-by-step explanation:
5
Solve for z in the literal equation - (z +11) = y.
7
Z=
Answer:
z= -55 / 5-y
the line is a divided by sign you put 55 on top and the 5-y on bottom
The ratio of my action to comedy movies is 4:5. If I have 35 comedy movies, how many are action? *
Answer:
28 action movies
Step-by-step explanation:
Set up a proportion: [tex]\frac{4}{5} = \frac{x}{35}[/tex] Cross multiply, then divide: 35 × 4 = 140, 140 ÷ 5 = 28So, if you have 35 comedy movies, you would have 28 action movies.I hope this helps!
what is the solution to 6x+5y=19 4x+6y=10
Answer:
The value of x is 4 and y is -1 .
Step-by-step explanation:
First, you have make any term to have the same coefficient. So I will choose x term :
[tex]6x + 5y = 19 - - - \times 2[/tex]
[tex]12x + 10y = 38 - - - (1)[/tex]
[tex]4x + 6y = 10 - - - \times 3[/tex]
[tex]12x + 18y = 30 - - - (2)[/tex]
Next, you have to solve it by Elimination method :
[tex](1) - (2)[/tex]
[tex]12x + 10y - 12x - 18y = 38 - 30[/tex]
[tex] - 8y = 8[/tex]
[tex]y = - 1[/tex]
[tex]substitute \: y = - 1 \: into \: (1)[/tex]
[tex]12x + 10( - 1) = 38[/tex]
[tex]12x - 10 = 38[/tex]
[tex]12x = 38 + 10[/tex]
[tex]12x = 48[/tex]
[tex]x = 4[/tex]
35% of what is 28?............
35% of 80 is 28.
Answer is 80.
What is 1/6 in a Percent
Answer:
16.67%
Step-by-step explanation:
1. Take 1 divided by six : 1/6 = 0.16666 . . .
2. Multiply by 100 to get a percent: 16.67%
