Answer:
D. 31(-10)= -310
Step-by-step explanation:
A negative number times a positive number will always result in a negative number.
Answer:
30(-10)
Step-by-step explanation:
negative multiplied by a negative is a positive
negative multiplied a positive is a negative
positive multiplied by a positive is a positive
What is the vertex of the parabola?
y - 3 = 1/2 (x + 5)²
( __ , __ )
Answer:
(-5,31/2)
Step-by-step explanation:
open bracket
y=1/2x^2+5x+28
compare with y=ax2+bx+c
use formula (-b/2a,4ac-b2/4a)
(Unit 2) What makes the results of a study statistically significant?
The difference between groups and the sample size makes the results of a study statistically significant.
Statistical significance is a measure of the likelihood that the results of a study are not due to chance. In order for a result to be statistically significant, it must meet two criteria:
The difference between groups must be large enough to be unlikely to occur by chance. This is typically assessed using a statistical test such as a t-test or an ANOVA.
The result of the test is expressed as a p-value, which represents the probability of obtaining the observed results if there were no true difference between groups. A p-value of less than 0.05 (or 5%) is generally considered to be statistically significant.
The sample size must be large enough to reduce the possibility of sampling error. A larger sample size generally increases the power of a study, making it more likely to detect a true effect.
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Construct both a 98% and a 80% confidence interval for B₁. B₁=46, s=5.7, SSzz = 57, n = 12 98%:
To construct a 98% confidence interval for B₁, we can use the t-distribution since the sample size is small (n = 12).
Given the sample mean (B₁ = 46), sample standard deviation (s = 5.7), and sum of squares (SSzz = 57), we can calculate the confidence interval.
The formula for a confidence interval is:
Confidence Interval = Sample Mean ± (Critical Value * Standard Error)
For a 98% confidence level and n = 12, the critical value is approximately 2.681 (obtained from a t-distribution table).
The standard error is calculated as the sample standard deviation divided by the square root of the sample size (s / √n).
Plugging in the values:
Standard Error = 5.7 / √12 ≈ 1.647
Confidence Interval = 46 ± (2.681 * 1.647)
Therefore, the 98% confidence interval for B₁ is approximately (42.21, 49.79).
In conclusion, we can be 98% confident that the true value of B₁ falls within the range of 42.21 to 49.79 based on the given sample data.
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help pls How do you write 0.0000000080 in scientific notation? x 10
Answer:
0.000000008 written as scientific notation is 8 × 10-9.
Answer:
8x10^-9
0.0000000080 is -9 integers from 0
HELP PLZZ Which of the following choices will evaluate the function ƒ(x) = -(-x), when x = -3? 3 -1 -3 None of these choices are correct.
Answer:
-3
Step-by-step explanation:
\(F(x)=-\,(-x)\\f(-3)=-(-(-3))\\f(-3)=-3\)
1) if we add ____ to 194562 then it is divisible by 5 and 10 both
2) If we subtract ____ to 53214 then the number obtained is divisible by 8
3) The smallest 4 digit number which is divisible by 3 is ____
4) A number divisible by 6 is also divisible by ____ and ____
Step-by-step explanation:
\((1)add \: 8 \\ (b)6 \\ (c)1002 \\ (d)2 \: and3\)
Answer:
d !
Step-by-step explanation:
If FE is a midsegment of ABCD, find DF.
A. 2
B. 3
C. 5
D. 6
Answer:
C
Step-by-step explanation:
Remark
A midsegment is 1/2 the size of the side that it is parallel to.
Equation
6x - 6 = 2*(x + 3) Remove the brackets
6x - 6 = 2x + 6 Subtract 2x from both sides
6x - 2x - 6 = 6 Combine
4x - 6 = 6 Add 6 to both sides
4x = 6 + 6 Combine
4x = 12 Divide by 4
x = 12 / 4
x = 3
==================
Find DF
But that's not the answer.
DF = x + 2
DF = 3 + 2
DF = 5
a quadrilateral must be a parallelogram if one pair of opposite sides is a. congruent, only b. parallel, only c. congruent and parallel d. parallel and the other pair of opposite sides is
a quadrilateral must be a parallelogram if one pair of opposite sides is congruent and parallel
A quadrilateral with two sets of opposing parallel sides is referred to as a parallelogram.To be a parallelogram, one pair of opposite sides must be congruent and parallel. Congruent means that two sides have the same measurements or length while parallel means that two lines never intersect. For example, if one pair of opposite sides is congruent and parallel, and the other pair of opposite sides is parallel, then the quadrilateral is a parallelogram. This is because the two pairs of opposite sides form parallel lines and the respective pairs have the same length. Therefore, the answer is c. congruent and parallel.
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One unit of A is composed of two units of B and three units of C. Each B is composed of one unit of F. C is made of one unit of D, one unit of E, and two units of F. Items A,B,C, and D have 20,50,60, and 25 units of on-hand inventory, respectively. Items A,B, and C use lot-for-lot (L4L) as their lot-sizing technique, while D,E, and F require multiples of 50,100 , and 100 , respectively, to be purchased. B has scheduled receipts of 30 units in period 1. No other scheduled receipts exist. Lead times are one period for items A, B, and D, and two periods for items C,E, and F. Gross requirements for A are 20 units in period 1,20 units in period 2, 60 units in period 6, and 50 units in period 8. Find the planned order releases for all items.
The planned order releases for each item are as follows: A: 20 units in period 1, B: 10 units in period 1, C: 40 units in period 3, D: No planned order release, E: 100 units in period 5, F: 100 units in period 5
To determine the planned order releases for all items, we need to calculate the net requirements for each period based on the given information. We will start with the highest-level item and work our way down the bill of materials.
Item A:
Period 1: Gross requirement of 20 units.
Since A uses lot-for-lot (L4L) as the lot-sizing technique, we release an order for 20 units of A.
Item B:
Item B is a component of A, and each A requires 2 units of B.
We need to calculate the net requirements for B based on the planned order release for A.
Period 1: Gross requirement of 20 units * 2 (requirement multiplier for B) = 40 units.
B has a scheduled receipt of 30 units in period 1.
Net requirement for B in period 1: 40 units - 30 units = 10 units.
Since B also uses L4L as the lot-sizing technique, we release an order for 10 units of B.
Item C:
Item C is a component of A, and each A requires 3 units of C.
We need to calculate the net requirements for C based on the planned order release for A.
Period 1: Gross requirement of 20 units * 3 (requirement multiplier for C) = 60 units.
C has a lead time of two periods, so we need to account for that.
Net requirement for C in period 3: 60 units - 20 units (scheduled receipt for A in period 1) = 40 units.
Since C uses L4L as the lot-sizing technique, we release an order for 40 units of C.
Item D:
Item D is a component of C, and each C requires 1 unit of D.
We need to calculate the net requirements for D based on the planned order release for C.
Period 3: Gross requirement of 40 units * 1 (requirement multiplier for D) = 40 units.
D has a lead time of one period, so we need to account for that.
Net requirement for D in period 4: 40 units - 60 units (scheduled receipt for C in period 3) = -20 units (no requirement).
Since the net requirement is negative, we do not release any planned order for D.
Item E:
Item E is a component of C, and each C requires 1 unit of E.
We need to calculate the net requirements for E based on the planned order release for C.
Period 3: Gross requirement of 40 units * 1 (requirement multiplier for E) = 40 units.
E has a lead time of two periods, so we need to account for that.
Net requirement for E in period 5: 40 units - 0 units (no scheduled receipt for E) = 40 units.
Since E requires a multiple of 100 to be purchased, we release an order for 100 units of E.
Item F:
Item F is a component of B and C, and each B requires 1 unit of F, while each C requires 2 units of F.
We need to calculate the net requirements for F based on the planned order releases for B and C.
Period 1: Gross requirement for B = 10 units * 1 (requirement multiplier for F) = 10 units.
Period 3: Gross requirement for C = 40 units * 2 (requirement multiplier for F) = 80 units.
F has a lead time of two periods, so we need to account for that.
Net requirement for F in period 5: 10 units + 80 units - 0 units (no scheduled receipt for F) = 90 units.
Since F requires a multiple of 100 to be purchased, we release an order for 100 units of F.
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HELP WILL GIVE BRAINLYEST
Answer: its easy 0 and 4
Step-by-step explanation:
Answer:
2x - y = 2
Step-by-step explanation:
The first thing to do is find the slope of the line. Slope can be found using:
rise/run
you can count up on the graph then count across on the x-axis until you reach a point on the line
If you start on -2, you'll count up 2 then go across 1 to land on point (1,0)
So your slope is 2/1 which is just 2
Another thing to note is that your line intercepts at point (0,-2)
With this information, we can create an equation for the line that is in slope intercept form:
y = mx + b
m = slope
b =y- intercept
y = 2x - 2
HOWEVER, the question asks for this to be in standard form, so we have to get x on the right side of the expression and make sure the first and last values are positive:
y = 2x - 2
-2x -2x
-2x + y = -2
/-1 /-1
2x - y = 2
appropriate weight gain for a pregnant woman with a bmi of 17 is . appropriate weight gain for a pregnant woman with a bmi of 32 is .
Answer:
Appropriate weight gain for a pregnant woman with a BMI of 17 is 28-40 pounds. Appropriate weight gain for a pregnant woman with a BMI of 32 is 11-20 pounds.
Step-by-step explanation:
Graphing Polynomial Functions
State the degree and leading coefficient of each polynomial in one variable. If it is not a polynomial in one variable,
explain why.
1. a+ 8
3.-5x5 + 3x³-8
5. u³+ 4u²t2 + t4
The degree and leading coefficient of each polynomial is 5 and -5.
We are given that;
The polynomials a+ 8, -5x5 + 3x³-8, u³+ 4u²t2 + t4
Now,
a + 8
This is a polynomial in one variable, a. The term with the highest exponent of a is a, which has an exponent of 1. The coefficient of a is 1. So the degree is 1 and the leading coefficient is 1.
-5x^5 + 3x^3 - 8
This is a polynomial in one variable, x. The term with the highest exponent of x is -5x^5, which has an exponent of 5. The coefficient of -5x^5 is -5. So the degree is 5 and the leading coefficient is -5.
u^3 + 4u2t2 + t^4
Therefore, by the equation the answer will be 5 and -5.
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Drop downs:
First one:
4
10
40
100
Second one:
1
10
100
1000
Answer:
40 divided by 4 is 10, the next question, it is 10 times the value, 2,143 and 164
Step-by-step explanation:
the obtained value must be compared against which of the following? a. test value b. critical value c. expected value
d. observed value
The obtained value must be compared against the critical value. Hence, the correct option is b.
In hypothesis testing, the critical value is a threshold or cutoff point that is determined based on the chosen significance level (alpha level) and the distribution of the test statistic. It helps in determining whether to reject or fail to reject the null hypothesis.
After calculating the test statistic (such as z-score or t-statistic) from the observed data, it is compared to the critical value associated with the chosen significance level.
If the test statistic exceeds the critical value, it falls into the critical region, leading to the rejection of the null hypothesis.
If the test statistic is less than or equal to the critical value, it falls into the non-critical region, resulting in a failure to reject the null hypothesis.
Therefore, the obtained value must be compared against the critical value to make a decision in hypothesis testing. Hence, the correct answer is option b.
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I NEED HELP ASAP!!!! I DONT UNDERSTAND HOW TO DO This!! Please do step by ste and tell me where it goes thank you
Answer:
Step-by-step explanation:
A: 5600 meters per hour
B: 700 meters per 1/6 hour
C: 4200 meters per hour
I cant see the final question
Refer to pictures above real help please
Answer:
38.7°
Step-by-step explanation:
∆ = Tan-1(opposite/ Adjacent)
=Tan-1(8/10)
= 38.66°
= 38.7° to n nearest tenth
Light bulbs cost £3.30 each.Yasmin buys as many as she can with £40.How much change should she get?Give your answer in pounds, £
Answer:
40p / £0.04
Step-by-step explanation:
£3.30 X 10 = £33
£3.30 X 2 = £6.60
£6.60 + £33 = £39.60
£40 - £39.60 = 40p / £0.04
In the context of group diversity, the _____ is data driven, supplies necessary information, and adheres to high performance standards.
In context of "group-diversity", a contributor is "data-driven", supplies the "necessary-information", and adheres to the high "performance-standards".
They actively contribute to the group's goals and objectives, bringing their expertise, skills, and knowledge to the table. A contributor may provide valuable insights and data-driven analysis regarding diversity-related matters, helping the group make informed decisions and take appropriate actions.
They are committed to achieving high performance standards and consistently deliver quality work. In the context of diversity, a contributor may actively participate in promoting inclusivity, supporting diverse perspectives, and advocating for equal opportunities within the group or organization.
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4. Elianni has a bucket with a 5-gallon capacity. Elianni puts 12 pints of soapy water in the bucket to wash her blue Hondi. How many gallons of soapy water are in Elianni's bucket? Show your work.
4.part 2 How many more quarts of soapy water will the bucket hold? Show your work.
(middle school)
1) The number of gallons of soapy water that are in Elianni's bucket are; 1.5 gallons
2) The number of more quarts that it can hold is; 14 more quarts
How to solve Algebra Word Problems?Elianni puts 12 pints of soapy water in the bucket to wash her blue Hondi. From conversion factors, we know that;
1 pint = 1/8 gallon
Thus;
12 pints = 12 * (1/8)
12 pints = (12/8) gallons
= 3/2 = 1.5 gallons.
Due to the fact that the bucket is 5 gallon capacity, It can hold:
5 - 1.5 = 3.5 gallons more.
But from conversion factors, we know that;
1 gallon = 4 quarts.
Thus;
3.5 gallons = 3.5 * 4
= 14 quarts more.
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Help I don't know what I did wrong.
\(4\sqrt{125} -2\sqrt{243} -3\sqrt{20}+5\sqrt{27}\)
If a person places their phone number on the do-not-call registry, how many years does it stay on the list before it is eligible again for cold calling
When an individual places their phone number on the Do Not Call (DNC) Registry, it remains there permanently, and telemarketers are prohibited from making unsolicited calls to that number until the individual requests to be removed from the list.
When an individual places their phone number on the Do Not Call (DNC) Registry, it remains there permanently, and telemarketers are prohibited from making unsolicited calls to that number until the individual requests to be removed from the list. This list is managed by the Federal Trade Commission (FTC), which enforces the Telephone Consumer Protection Act (TCPA) in the United States. If someone's phone number is on the DNC registry, the registry rules apply indefinitely. This means that even if the individual's phone number is still listed after a period of time, telemarketers are prohibited from calling that number. If the individual wishes to receive telemarketing calls again, they must remove their phone number from the list by dialing the DNC registry's phone number, which is 1-888-382-1222. The process of removing a phone number from the list is a simple one. Dial the number on your phone, and then follow the instructions that the voice prompt gives you. Furthermore, it is important to know that calls from organizations that you have given permission to call you are still allowed even if your number is on the DNC registry.
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find the exact length of the polar curve. r = e2θ, 0 ≤ θ ≤ 2π
The exact length of the polar curve in this problem is given as follows:
320,597 units.
How to calculate the length of a polar curve?The definition of a polar curve is given as follows:
r(θ).
Then the length of the curve over an interval a ≤ θ ≤ b is given by the definite integral presented as follows:
\(L = \int_{a}^{b} \sqrt{r^2 + \left(\frac{dr}{d\theta}\right)^2} d\theta\)
The curve in this problem is given as follows:
\(r = e^{2\theta}\)
The derivative is given as follows:
\(\frac{dr}{d\theta} = 2e^{2\theta}\)
Then the arc length is given by the integral presented as follows:
\(L = \int_{0}^{2\pi} \sqrt{e^{4\theta} + 4e^{4\theta}} d\theta\)
\(L = \int_{0}^{2\pi} \sqrt{5e^{4\theta}} d\theta\)
\(L = \sqrt{5}(\int_{0}^{2\pi} e^{2\theta} d\theta)\)
\(L = \frac{\sqrt{5}}{2}(e^{2\theta})|_{\theta = 0}^{\theta = 2\pi}\)
Applying the Fundamental Theorem of Calculus to solve the double integral, the length of the arc is givena s follows:
\(L = \frac{\sqrt{5}}{2}(e^{4\pi} - 1)\)
L = 320,597 units.
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f 12 - 2 = 10, does 12 - 2 - 3 = 10 - 2 yes or no
Answer:
no
Step-by-step explanation:
it would be 7
let x be a random variable with the probability distribution below. find e(x) and ex2 and then, using these values, evaluate e(2x 1)2.
E(X) = 1.88. E(X^2) = 11.12. E((3X + 2)^2) = 126.64. To find E(X) and E(X^2), we will use the provided probability distribution for the random variable X.
E(X) is the expected value of X and can be calculated by multiplying each value of X by its corresponding probability and summing them up. Let's perform this calculation:
E(X) = (-2 * 0.18) + (4 * 0.38) + (6 * 0.12)
= -0.36 + 1.52 + 0.72
= 1.88
Therefore, E(X) = 1.88.
E(X^2) is the expected value of X^2 and can be calculated by multiplying each value of X squared by its corresponding probability and summing them up. Let's perform this calculation:
E(X^2) = ((-2)^2 * 0.18) + (4^2 * 0.38) + (6^2 * 0.12)
= (4 * 0.18) + (16 * 0.38) + (36 * 0.12)
= 0.72 + 6.08 + 4.32
= 11.12
Therefore, E(X^2) = 11.12.
Now, let's evaluate E((3X + 2)^2) using the values of E(X) and E(X^2) obtained in the previous step.
E((3X + 2)^2) = E(9X^2 + 12X + 4)
= 9E(X^2) + 12E(X) + 4
Substituting the values of E(X^2) = 11.12 and E(X) = 1.88:
E((3X + 2)^2) = 9 * 11.12 + 12 * 1.88 + 4
= 100.08 + 22.56 + 4
= 126.64
Therefore, E((3X + 2)^2) = 126.64.
Please note that the final answer is subject to the accuracy of the provided probability distribution and the calculations performed.
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Incomplete Question:
Let X be a random variable with the probability distribution below. Find
E(X)
and
EX2
and then, using these values, evaluate
E(3X+2)2.
x
−2
4
6
f(x)
18
38
12
Find E(X).
E(X)=
(Simplify your answer.)
Find EX2.
EX2=
(Simplify your answer.)
Evaluate
E(3X+2)2.
E(3X+2)2=
(Simplify your answer.)
please make sure answer is correct and answer quickly.
What is the simplified form of x plus 4 over x squared minus 3x minus 10 ⋅ x minus 3 over x squared plus x minus 12 ?
Answer: 2x^3 - x^2 - 12x - 18
Step-by-step explanation:
Cross multiply, so you get
(x+4)×(x^2+x-12) = x^3 + x^2 - 12x + 4x^2 + 4x - 48
(x-3)×(x^2+x-12) = x^3 - 3x^2 - 10x - 3x^2 + 6x + 30
Add like terms together
x^3 + x^3 = 2x^3
x^2 - 3x^2 +4x^2 - 3x^2 = -x^2
-12x - 10x +4x +6x + -12x
30 - 48 = -18
So you get the big equation:
2x^3 - x^2 - 12x - 18
what are the intercepts of the graph of the equation, y=-7
Answer:
y-7=0 is the same as y=7
The drawing of y=7 is a straight horizontal line intercepting the y axis at 7. So basically it's a horizontal line that passes through (0,7). Its slope is zero since it's a horizontal line.
Step by step explanation:
A line with no x in the equation is a horizontal line. In this case, y=7. All horizontal lines have a slope of 0, since there is never a change in the y coordinate (it is always 7) so the numerator of the fraction used to determine the slope is 0.
The y-intercept is, of course 7 (all y values on the line are 7). There is no x-intercept since it is a horizontal line through the point (0,7) so it will never intersect the x-axis.
Carlos got 5/6 of the test questions correct. This was 15 questions. How
many questions were on the test?
Answer:
5/6 is about a 84%, and 84% of 15 questions is 12.6. so the teacher just made the grading simplified
Step-by-step explanation:
the shortest leg of a triangle is 2 centimeters shorter than the other leg. the hypotenuse of this triangle is 10 centimeters. what are the lengths of the two legs of this triangle?
Lengths of the legs of triangle are 6 cm and 8 cm by Pythagoras theorem of right triangle.
Let One short leg = x
then other = x+2
And hypotenuse is = 10 cm
so x²+(x+2)²=10²
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.
From Pythagoras theorem : a^2 + b^2 = c^2
Where c is the hypotenuse and a,b are the other sides of a right angle triangle.
x²+ x²+4x+4=100
[(a + b)^2 = a^2 +2.a.b +b^2]
2 x²+4x-96=0
x²+2x-48=0
(x+8)(x-6)=0
x= -8 or 6
Neglecting - value x=6 as the length can not be negative.
So legs of triangle are 6 cm and 8 cm.
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values of x and y
to
135°
Step-by-step explanation:
Answer:
xy/100=135
xy=13500
x=13500/y
Find the volume of a cone with a height of 6cm and a base radius of 4cm. Use the value 3.14 for π, and do not do any rounding.
Answer:
100.48 cm³
Step-by-step explanation:
Volume of a cone, V = 1/3 * pi * r² * h
Radius, r = 4 cm ; h = 6cm
V = 1/3 * 3.14 * 4² * 6
V = 1/3 * 3.14 * 16 * 6
V = 3.14 * 16 * 2
V = 3.14 * 32
V = 100.48 cm³
Hence, the volume of the cone is 100.48 cm³