Answer:
12
Step-by-step explanation:
The number of shells collected by Paula is 12 shells
The correct answer is B.
The given expression:
total number of shells collected by the friends, t = 43 shells
number of shells collected by Paula = x
number of shell collected by Bethany = 2x - 3
number of shell collected by Jerrell = [tex]\frac{x}{2} + 2[/tex]
To find:
the number of shells collected by PaulaThe number of shells collected by Paula is calculated as follows:
[tex]x + (2x-3 ) + (\frac{x}{2} + 2) = 43\\\\3x + \frac{x}{2} - 1 = 43\\\\\frac{6x + x}{2} = 43 + 1\\\\\frac{7x}{2} = 44\\\\7x = 88\\\\x = \frac{88}{7} \\\\x \approx 12 \ shells[/tex]
Thus, the number of shells collected by Paula is 12 shells
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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.
michaela has h hair ties. michaela's sister has triple the number of hair ties that michaela has. choose the expression that shows how many hair bows michaela's sister has
Answer:
Michaela = h
Michaela's sister = 3h
Answer = 3h
If Michaela has h hair ties and Michaela's sister has triple number of hair ties then the expression which shows the number of hair ties that Michaela's sister has is 3h.
What is expression?Expression is a combination of number, symbols, variables, coefficients, indeterminants, functions, etc. It is usually not present in equal to form.
How to form expression?We have been given that Michaela has h number of hair ties and Michaela's sister has triple the number of hair ties that Michaela has, so if h is the expression for Michaela then 3h will be the expression for Michaela's sister.
Hence the expression which shows the number of hair ties that Michaela's sister has is 3h.
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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.
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
Solve N=2rt^2-7rx for x
Answer:
N - 2 r t²
x = - ------------
7x
Step-by-step explanation:
N = 2 r t² - 7 r x
solve for x
N = 2 r t² - 7 r x
N + (-2 r t²) = (2 r t² - 7 r x) + (-2 r t²)
N - 2 r t² = 2 r t² - 7 r x - 2 r t²
N - 2 r t² - 2 r t² + 2 r t² = - 7 r x
N - 2 r t² = 7 r x
therefore,
N - 2 r t²
x = - ------------
7x
3/4 + (1/3 ÷ 1/6) - (1/2) =
Answer:
.o55555555555555555555555
Step-by-step explanation:
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
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:
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.
Find x, if 3x − 5(y + x ) ^2 = 16 and 4x + 2(y + x )^ 2 = 30
Answer:
x is 7
Step-by-step explanation:
3x - 5(y + x)^2 = 16
3x - 16 = 5(y + x)^2
(y + x)^2 = 1/5(3x - 16) ------ eqn(I)
4x + 2(y + x)^2 = 30
2(y + x)^2 = 30 - 4x
(y + x)^2 = 1/2(30 - 4x) ------- eqn(II)
Equate eqn (I) & (II)
1/5(3x - 16) = 1/2(30 - 4x)
Multiply both sides by 10
2(3x - 16) = 5(30 - 4x)
6x - 32 = 150 - 20x
6x + 20x = 150 + 32
26x = 182
x = 182/26 = 7
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
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.
how do i solve for this absolute value equation ? |12x - 5| = 11
Hello, we know that
[tex]|x|=\begin{cases}x &\text{if } x \geq 0\\ -x &\text{if } x < 0 \end{cases}[/tex]
And we can write that 12x-5=0 <=> 12x =5 <=> x = 5/12
So,
[tex]|12x-5|=\begin{cases}12x-5 &\text{if } x \geq \dfrac{5}{12}\\\\ -12x+5 &\text{if } x < \dfrac{5}{12}\end{cases}[/tex]
And, we can write.
[tex]|12x-5|=11<=>\begin{cases}12x-5=11 &\text{if } x \geq \dfrac{5}{12}\\\\ -12x+5=11 &\text{if } x < \dfrac{5}{12}\end{cases}\\ \\ \\ <=>\begin{cases}12x=16 &\text{if } x \geq \dfrac{5}{12}\\\\ 12x=5-11 &\text{if } x < \dfrac{5}{12}\end{cases}\\\\<=>\begin{cases}x=\dfrac{16}{12}=\boxed{\dfrac{4}{3}} &\text{if } x \geq \dfrac{5}{12}\\\\ x=\dfrac{-6}{12}=\boxed{-\dfrac{1}{2}} &\text{if } x < \dfrac{5}{12}\end{cases}[/tex]
So the two solutions are 4/3 and -1/2.
Thank you.
Subtract.
Eight-ninths minus one-third
8/9 - 1/3
To subtract these two fractions, first find a common denominator.
The common denominator will be the
least common multiple for the two denominators.
In this case, the least common multiple of 9 and 3 is 9.
So to subtract, a denominator of 9 is needed in each fraction.
8/9 already has 9 in the denominator so it stays the same.
To get a 9 in the denominator of 1/3, multiply top and bottom by 3.
This gives us 3/9.
So we have 8/9 - 3/9 which is 5/9.
Answer:
Five-ninths
Step-by-step explanation:
Since the denominators are different (9 and 3) we need to change one of them.
9 is divisible by 3 therefor we do not need to change Eight-ninths.
3 times 3 = 9, nine becomes the new denominator, but remember, whatever we do to the bottom (denominator), we must also do to the top (numerator).
1 times 3 = 3
Now the equation is 8/9 - 3/9, we must only subtract the numerators. The answer is 5/9.
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:
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]
"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
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
Of the 727 cases of SI, 203 received two doses of vaccine. Of 1,239 controls, 771 received two doses of vaccine for SI. What is the likelihood of contracting SI with only one dose of vaccine
Answer:
hello your question is incomplete below is the complete question
Case-Control Calculation Enter only numeric values into the answer line. Place a leading 0 before the decimal and remember to round to two decimal places. Note your answers for the next short essay question. Swine Influenza (SI) is a growing concern at the local Broncoville Health Department in Lawrence, Kansas. You are working for a pharmaceutical company which is developing a human vaccine against SI. You are in charge of testing the vaccine’s effectiveness. You need to determine if one or two doses of vaccine is required to provide immunity. You field test and collect the following information about the vaccine status of persons who did and did not contract SI after getting either one or two doses of vaccine. Develop a 2 x 2 table with the following information: Of the 727 cases of SI, 203 received two doses of vaccine. Of 1,239 controls, 771 received two doses of vaccine for SI. What is the likelihood of contracting SI with only one dose of vaccine?
1. Calculate the incidence of persons with one dose of vaccine for SI
2. Calculate the incidence of persons with two doses of vaccine for SI
3. Calculate the odds ratio of developing SI among those with one dose of vaccine for SI
answer : 1) ≈ 0.53 , (2) ≈ 0.21, (3) ≈ 1.12
Step-by-step explanation:
cases of SI = 727
number of SI cases that received two doses of vaccine = 203
number of SI cases that received one dose of vaccine = 727 -203 = 524
controls = 1239
number of controls that received two doses of vaccine = 771
number of controls that received one dose of vaccine = 1239 - 771 = 468
I) The incidence of persons with one dose of vaccine for SI
= 524 / 992 = 0.528 ≈ 0.53
2) The incidence of persons with two doses of vaccine for SI = 203/974 = 0.208 ≈ 0.21
3) The Odds of SI in one dose group
= 524/468 = 1.119 ≈ 1.12
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
What's the height of a triangle if we know the base is 20 m and the area is 100 m2?
15 m
25 m
5 m
5 m
4) 10 m
Answer:
h = 10 m
Step-by-step explanation:
Area of a triangle = 1/2 * base * height
Area = 100 m²
base = 20 m
therefore,
100 m² = 1/2 * 20 m * h
h = 100 / 10
h = 10 m
The height will be 10 m.
What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
Given that, the area of a triangle is 100 m² and base is 20 m.
The area of a triangle = 1/2xbasexheight
100 = 1/2x20xh
h = 100/10
h = 10
Hence, The height will be 10 m.
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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
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.
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
=
e^2x + sin(x+3y) - 1 = 0
x = 0 , y = 0
Dy/dx=...?
a. -1
b. 0
c. 1
Answer:
to be honest I'm not sure
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.
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
Use point-slope form to find the equation of the line passing through (0,5) with a slope of 2/3
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
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