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Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\boxed{ a^2 b^2 + -a^2 + -b^2 + 1 + 4ab}[/tex]
Let's simplify step-by-step.
[tex]( a^2 - 1 ) ( b^2 -1) + 4ab[/tex]
Distribute:
[tex]=( a^2) (b^2) + (a^2) (-1) + ( -1) (b^2) + (-1) (-1) + 4ab[/tex]
[tex]= a^2 b^2 + -a^2 + -b^2 + 1 + 4ab[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Answer:
a²b² - a² - b² + 4ab + 1
Step-by-step explanation:
( a²- 1) ( b²- 1) + 4ab
(a²b² - a² - b² + 1) + 4ab
a²b² - a² - b² + 4ab + 1
"Henri has calculated a z-test statistic of -2.73. What is the p-value of the test statistic? Answer choices are rounded to the thousandths place."
Answer:
0.003
Step-by-step explanation:
P-value = The value of probability.
P value can be defined are the probability of a given test statistic ( which could be z score, t score, f score) that is can be less than, equal to or greater than a given null hypothesis.
In the above question, the test statistic we are given = z score.
z score = -2.73
To find the P- value, we can make use of a z table for normal distribution.
Hence, P(z = -2.73) = 0.0031667
Approximately to the nearest thousandth = 0.003
In the following figure, OQ and OR are internal bisectors of ZQ
and ZR, respectively, then prove that ZQOR = 90° +- ZP.
1
2
Р
R.
Answer:
if you can provide the figure it would be quite easy for the people giving answers
I need some help with this question please
Answer:
-9, -6, and -2
Step-by-step explanation:
Simply evaluate the function at the extremes of the domain to find the range of elements that are solutions to f(x).
f(-1) = (1/2) - 10 = -9.5
f(3) = 8 - 10 = -2
Notice -9, -6, and -2 fall into those ranges. To verify integer solutions, simply plug in the remaining integers 0, 1, and 2.
f(0) = 1 - 10 = -9
f(1) = 2 - 10 = -8
f(2) = 4 - 10 = -6
Cheers.
Metallic colored plastic is being injected into molds to manufacture small beads for a crafts supplier. One of these beads is comprised of attached congruent square pyramids, as shown below.
7 mm
6 mm
How much plastic is needed to make each of these beads?
A. 112mm3
b 504mm3
c. 168mm3
d84mm3
Answer:
Volume of Beads = 84 mm³
Step-by-step explanation:
Given:
Side of base = 6 mm
Height = 7 mm
Find:
Volume of Beads
Computation:
Volume of Beads = Volume of a square pyramid
Volume of Beads = [1/3][Area of base][h]
Volume of Beads = [1/3][6 x 6][7]
Volume of Beads = 84 mm³
Please help!!
Using the linear equation: y-5= -2(x-6)
What is the slope of this line?_______
Convert the equation into Slope Intercept form. y =_______
What is the y-intercept of the equation? (0,____)
Answer:
I made it to this and I don't know what to do for the rest sorry.
Step-by-step explanation:
y-5=-2(x-6)
+5 +5
y=3(x-6)
y=3x-18
Which of the following statements regarding immunization are true?
I. If long-term interest rates are lower than short-term rates, the need for immunization is reduced.
II. Either Macaulay or modified duration can be used to develop an immunization strategy.
III. Both processes of matching the present values of the flows or the flows themselves will produce exact matching
A. I only
B. II only
C. III only
D. I, II and III
E. The correct answer is not given by (A), (B), (C), or (D).
Answer:
B. II only
Step-by-step explanation:
Immunisation is used to lower the risk factor that may arise due to change in interest rate . For it, cash inflow and cash outflow are matched in terms of their timing . In other words, effective duration of asset and liability are matched with the help of methods like cash flow matching , duration matching etc.
Even lowering of interest rate in long term may entail risk because it may increase the bond price which may affect the business adversely in some way if bond is kept as liability . It may reduce the price of asset if it is held as asset .
Exact matching is possible only when matching of cash flow is achieved along with its timing . Matching of present value will not serve the purpose .
Macaulay or modified duration can be used to develop an immunization strategy . Both of them calculate the duration of asset and liability with some change in the method of calculation.
A food safety guideline is that the mercury in fish should be below 1 part per million. Listed below are the amounts of mercury (ppm) found in tuna sushi sampled at different stores in a major city. Construct a 98% confidence interval estimate of the mean amount of mercury in the population. Does it appear that there is too much mercury in tuna sushi?
0.59 0.68 0.10 0.98 1.37 0.55 0.97
Required:
What is the confidence interval estimate of the population mean μ ?
Answer:
the confidence interval is 1.2282 and 0.269
Step-by-step explanation:
n = 7
the mean of the sample =
0.59+0.68+0.10+0.98+1.37+0.55+0.97/7
= 5.25/7
= 0.74857= 0.7486
the standard dev!aton of the sample
= √(0.59-0.7486)²+(0.68-0.7486)²+(0.1-0.7486)²+(0.98-0.7486)²+(1.37-0.7486)²+(0.55-0.7486)²+(0.97-0.7486)²/n-1
= √0.02515+0.0047+0.4206+0.0535+0.3861+0.03944+0.0490/6
= √0.9786/6
= √0.163083
= 0.4038
degree of freedom = 7-1= 6
crtcal value at 2% significance and df of 6 = 3.143
confidence interval =
0.7486±3.143(0.4038/√7)
= 0.7486±3.143(0.1526)
0.7486+0.4796 = 1.2282
0.7486-0.4795 = 0.269
=
Use point-slope form to find the equation of the line passing through (0,5) with a slope of 2/3
Do all quadrilaterals have all right angles
Answer:
No, All quadrilateral don't have all right angles.
How??▶A square, rectangle have all right angle but a parallelogram don't have all right angle
Hope you understand it✔
Answer:
No all quadrilateral doesnot have all right angle
The quadrilateral that have all angles of 90 degree
Square have all the angles of 90 degreerectangle have all the angle of 90 degreeRhombus have all the angles of 90The quadrilateral that doesnot have all angles
of 90 degree
Parallelogram doesnot have all the angles of 90 degreeKite doesnot have all the angles of 90 degreeHope it helps u mate
Seven baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 89.4% of all their baseballs have straight stitching. If exactly five of the seven have straight stitching, should the company stop the production line
Answer and Step-by-step explanation:
p= probability of straight stitching = 89.4% = 89.4/100= 0.894
n = the total sample of randomly selected baseballs
x = quantity of baseballs that have straight stitching = 5
x follows a binomial distribution
p(X=x) = nCx * p^x(1-p)^n-x
= 7C5 * 0.894⁵ * (1-0.894)⁷⁻⁵
= 21 * 0.571 * 0.011236
= 0.1347
= 13.47%
the probability is only 13.47% therefore the company has to stop the production line
Choose the number that belongs to the set described. i don’t understand this, someone please help me!
Answer:
1). Option (H)
2). Option (C)
3). Option (C)
4). Option (G)
5). Option (E)
Step-by-step explanation:
(1). Integers are the ''whole numbers''.
Therefore, negative integer will be a whole number with negative notation =(-8).
Option (H) will be the answer.
(2). "Numbers that can not be written as a fraction are irrational numbers"
Option (C). √7
(3). "Whole numbers are the basic counting numbers starting from 0"
Option (C). 0
(4). A rational number is a number that can be written as a fraction(in the form of [tex]\frac{p}{q}[/tex].
Option (G). [tex]\frac{3}{4}[/tex]
(5). "All positive integers are the natural numbers."
Option (E). 12
2(3 - x) = 16(x + 1)*
Answer:
x = -5/9
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
2(3 - x) = 16(x + 1)
Step 2: Distribute
6 - 2x = 16x + 16
Step 3: Add 2x on both sides
6 = 18x + 16
Step 4: Subtract 16 on both sides
-10 = 18x
Step 5: Divide both sides by 18
-10/18 = x
Step 6: Simplify
-5/9 = x
Step 7: Rewrite
x = -5/9
SOMEONE HELP ME!! THIS IS DUE IN 11:45 TODAY‼️ 33 POINTS‼️
Answer:
1: 1/2
2: 1
3: Assuming 2 medium triangles = 1 large triangle, then 2
Step-by-step explanation:
1: 2 small triangle makes 1 square. So, if we divide the area of the square (1 square unit) by 2 because 2 small triangles make 1 square, we get 1/2.
2: 2 small triangles makes 1 medium triangle, so using the above logic, 1/2 X 2 = 1.
3: Assuming 2 medium triangles = 1 large triangle, then the same thing applies. medium * 2 = 2
there are 8 girls and 5. boys on the math team which ratio correctly describes the relationship between boys and girls on the math team
Answer:
8:5
Step-by-step explanation:
I'm honestly not sure how to explain this because it's just a ratio, but good luck!
Find the equation of the line that contains the points (2,1) and (6,3). Write the equation in the form y=mx+b and identify m and b
Answer:
y=1/2x+0 m=1/2 b=0
Step-by-step explanation:
You first need to find the slope of this line, the equation for this is.
(y2-y1)/(x2-x1)
In this case it is (3-1)/6-2)
This simplifies to 1/2.
This graph also does not have a +b as when you graph y=1/2x, it already passes through the 2 points shown.
1) 4x=24 2)3x=18 3)9x=81
Answer: 1) 6 2) 6 3) 9
Step-by-step explanation:
4x=24 can be solved by dividing both sides by 4, which would isolate x. 4x divided by 4 is x, and 24 divided by 4 is 6. you are left with x = 6. the answer for 1) is 6.
3x = 18 can be solved similarly by dividing both sides by 3. you are left with x = 6.
9x = 81 is also solved similarly by dividing both sides by 9. 81 divided by 9 is 9, so x = 9.
The Polleys want to put in a swimming pool next summer. They need to save $7,000 over 12 months in order to achieve this goal. They set aside the same amount each month and after 6 months discovered they have saved $3,200. The Polleys know that they must adjust their plan in order to meet their goal, so they come up with the following options Option A: Save the original amount each month but put the pool in one month later than originally planned. Option B: Increase savings each month by $125 from their original plan. Which plan, if any, will work for the Polleys?
Answer:
a.) because one month isn't very long
Step-by-step explanation:
Suzy and Joe are trying to solve the problem
2^2×2^3x2^4
Suzy gets 2^9, while Joe gets2^24. Decide who solved the equation correctly and why.
Group of answer choices
Joe because when you multiply the exponents, you are finding the sum of the exponents.
Joe because when you multiply the exponents, you are finding the product of the exponents.
Suzy because when you multiply the exponents, you are finding the sum of the exponents.
Suzy because when you multiply the exponents, you are finding the product of the exponents.
When multiplying similar numbers raised to different exponents the exponents get added together.
The answer is : Suzy because when you multiply the exponents, you are finding the sum of the exponents.
An algebraic relationship of that quantity is greater than or less then another quantity ?
Answer:
Inequality
Step-by-step explanation:
If a cube has a volume of 4913 feet, then what is the length.
Answer:
length = 17 feetStep-by-step explanation:
Since it's a cube all it's sides are equal
Volume of a cube = l³
where
l is the length of one side
From the question
Volume = 4913 ft³
Substitute the value into the above formula and solve for the length
That's
[tex] {l}^{3} = 4913[/tex]
Find the cube root of both sides
We have
[tex] \sqrt[3]{ {l}^{3} } = \sqrt[3]{4913} [/tex]
We have the final answer as
length = 17 feetHope this helps you
Answer:
17 because 17 x 17 x 17 =4913
Step-by-step explanation:
can anyone help me on this??
Answer: about 78 mL
Step-by-step explanation:
When you see the liquid in a curved shape, you want to look at the very bottom of the curve. The bottom shows that our answer will be in the 70 mL, but close to 80. If you look at the lines in between, we can see that there are 5 lines, meaning each line represents 2 mL. Now, we count up and reach 78 mL.
3/4 + (1/3 ÷ 1/6) - (1/2) =
Answer:
.o55555555555555555555555
Step-by-step explanation:
in a small town 68% of the people own television 78% own radio and 12% neither own television nor radio question 1 represent the information on a venn diagram question two what percentage of the population own television only
Answer:
The answer is attached as an image.
Step-by-step explanation:
- If we assume that the space is 100% of the population then:
88% have something and 12% have nothing.
So within the 88% there are 10% who have TV, 20% who have Radio and 58% who have both TV and Radio.
in a class there are 25 students 15 are boys what percentage are girls
Answer:
40%
Step-by-step explanation:
Total students = 25
Boys = 15
Girls = 25 - 15 = 10
Percent of girls = 10/25
Percent is out of 100.
=> 10/25 = x/100
=> Cross multiply
=> 25 * x = 100 * 10
=> 25x = 1000
=> 25x/25 = 1000/25
=> x = 40
So, 40% are girls
multiply and simplify (3-5i)(-2+4i)
Answer:
14+22i
Step-by-step explanation:
We multiply and simplify (3-5i)(-2+4i) to get:
14 + 22i
How to multiply and simplify (3-5i)(-2+4i)?A complex number is a number of the form a + bi, where a and b are real numbers, and i is an imaginary unit satisfying i² = -1. For example, 2 + 3i is a complex number.
Complex numbers can be multiplied using the following rules:
(a + bi)(c + di) = (ac - bd) + (ad + bc)i
Thus, the two complex numbers can be multiplied and simplified as follow:
(3-5i)(-2+4i) = 3(-2+4i) -5i(-2+4i)
= 3(-2) + 3(4i) -5i(-2) -5i(4i)
= -6 + 12i + 10i -20i²
= -6 + 22i + 20 (Note: i² = -1)
= -6 + 20 + 22i
= 14 + 22i
Learn more about complex numbers on:
brainly.com/question/5564133
#SPJ6
A highway department executive claims that the number of fatal accidents which occur in her state does not vary from month to month. The results of a study of 193 fatal accidents were recorded. Is there enough evidence to reject the highway department executive's claim about the distribution of fatal accidents between each month? Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Fatal Accidents 11 13 22 11 15 29 15 9 13 15 22 18
This question is incomplete, the complete question;
A highway department executive claims that the number of fatal accidents which occur in her state does not vary from month to month. The results of a study of 193 fatal accidents were recorded. Is there enough evidence to reject the highway department executive's claim about the distribution of fatal accidents between each month? Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Fatal Accidents 11 13 22 11 15 29 15 9 13 15 22 18
Step 10 of 10 : State the conclusion of the hypothesis test at the 0.1 level of significance.
Answer: H₀ : The distribution of fatal accidents between each month is same
Step-by-step explanation:
H₀ : The distribution of fatal accidents between each month is same
H₁ : The distribution of fatal accidents between each month is different
Let the los be alpha 0.10
given data ;
Observed Expected
Mon Freq (Oi) Freq Ei (Oi-Ei)^2 /Ei
Jan 11 16.0833 1.606649
Feb 13 16.0833 0.591105
Mar 22 16.0833 2.176598
Apr 11 16.0833 1.606649
May 15 16.0833 0.072971
Jun 29 16.0833 10.373489
Jul 15 16.0833 0.072971
Aug 9 16.0833 3.119603
Sep 13 16.0833 0.591105
Oct 15 16.0833 0.072971
Nov 22 16.0833 2.176598
Dec 18 16.0833 0.228411
Total: 193 93 22.689119
Expected Freq ⇒ 193 / 12 = 16.08333
Test Statistic, x² : 22.6891
Num Categories: 12
Degrees of freedom: 12 - 1 = 11
Critical value X² : 24.725
P-Value: 0.0195
since Chi-square value < Chi-square critical value
and P-value > alpha 0.01 so we accept H₀
Therefore we conclude that the distribution of fatal accidents between each month is same
Find the volume of the cube 8cm
Answer:
512 cm^3
Step-by-step explanation:
The side length is 8 cm
V = s^3 where s is the side length
V = 8^3
=512 cm^3
Answer: 512 cm³
Explanation: Since the length, width, and height of a cube are all equal,
we can find the volume of a cube by multiplying side × side × side.
So we can find the volume of a cube using the formula v = s³.
In the cube in this problem, we have a side length of 8 cm.
So plugging into the formula, we have (8 cm)³
or (8 cm)(8 cm)(8 cm), which is 512 cm³.
So the volume of the cube is 512 cm³.
1. Graph: y = 3x
please help
Answer:
[see below]
Step-by-step explanation:
Find two points that would satisfy the equation.
When x = 1:
[tex]y=3(1)\\\\y=3[/tex]
One point would be (1, 3).
When x = 2:
[tex]y=3(2)\\\\y=6[/tex]
Another point would be (2, 6).
Graph the points (1,3) and (2,6) and draw a line crossing through them.
Hope this helps.
Simplify the expression -10(1 - 9x) + 6(x - 10)
Answer: 96x-70
Step-by-step explanation: -10+90x+6x-60
=96x-70
Answer:
96x -70
Step-by-step explanation:
-10(1 - 9x) + 6(x - 10)
Distribute
-10 +90x +6x - 60
Combine like terms
90x+6x - 10-60
96x -70
I am thinking of a number. One half is a third of my number. What is my number?
Solving in Poly’s 4 Steps.
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Suppose the number is X given that one half is a third of my number which is X.
[tex]\frac{1}{2}[/tex] = [tex]\frac{x}{3}[/tex]
multiply by 3 both sides
[tex]\frac{x}{3}[/tex] x 3 = 3 x [tex]\frac{1}{2}[/tex]
X= [tex]\frac{3}{2}[/tex]