Answer:
the answer is 5/4. If you multiply 1/4 by 5 you get 1 1/4 which is the same as 5/4.
determine the most appropriate hypothesis test to use for the following scenario: the august 2008 edition of academy of management journal featured an investigation of the performance and tiing of corporate acquisitions. the investigations discovered that in random sample of 2778 firms, 748 annouced one or more acquisitions during the year 2000. does the sample provide suffcient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is less than 30%
Answer:
Since the calculated z =-3.5357 falls in the critical region z ≥ 1.645 we reject H0 and conclude that the sample provides sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is ≥ 30%
Step-by-step explanation:
Testing hypothesis about a population proportion when sample size is large.
If the sample size is large then the variable
z= p^-p / sqrt [pq/n]
is approximately standard normal.
Formulate the hypotheses as
H0 : p < 30% against the claim Ha: p ≥ 30%
Choose the significance level ∝= 0.05
the critical region is z ≥ 1.645 because the alternative hypothesis is stated on a greater than or equal to basis.
Computing
Z= 748-(2778*0.3)/ √2778*30/100*70/100
z= 748-833.4/√583.38
z= -85.4/24.153
z=-3.5357
Since the calculated z =-3.5357 falls in the critical region z ≥ 1.645 we reject H0 and conclude that the sample provides sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is ≥ 30%
The p- value is 0.0002
Which is less: an angle showing a turn 1/3 of a circle or an angle showing a turn through1/4 of a circle ?
Answer:
1/4 of a circle is less
Step-by-step explanation:
1/4=90°
1/3=120°
Please help me fast i need help
First question: less or greater
Second question: decrease or increase
Third question: would or would not
fourth question: correct or incorrect
You have to choose the answer's
Ok
Answer:
Look at the image.
Step-by-step explanation:
find K if 4 x square - 2 X square + kx + 5 leaves a remainder -10 when divided by 2x+1
Answer:
[tex]k = 31[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 4x^2 - 2x^2 + kx + 5[/tex]
[tex]r = -10[/tex] --- remainder
[tex]d = 2x + 1[/tex] --- divisor
Required
Find k
We have:
[tex]d = 2x + 1[/tex] --- divisor
Equate to 0
[tex]2x + 1 = 0[/tex]
Solve for x
[tex]2x = -1[/tex]
[tex]x =-0.5[/tex]
This means that:
[tex]f(-0.5)=-10[/tex]
So, we have:
[tex]4*(-0.5)^2 - 2*(-0.5)^2 + k*-0.5 + 5 =-10[/tex]
[tex]0.5 -0.5k + 5 =-10[/tex]
Collect like terms
[tex]-0.5k=-10-5-0.5[/tex]
[tex]-0.5k=-15.5[/tex]
Solve for k
[tex]k = -15.5/-0.5[/tex]
[tex]k = 31[/tex]
3/4 of Stella's garden is flowers. She grows 6 types of flowers spaced equally. What fraction of her garden is dedicated to each type of flower?
Answer: 1/8 of her garden
1/8 of her garden is dedicated to each type of flower.
What is a fraction?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
Given
part of stella's garden has flowers = 3/4
types of flowers = 6
fraction of her garden is dedicated to each type of flower = 3/4 / 6 = 3/4 *1/6 = 3/24 = 1/8.
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For a parallelogram with a long side that is 4 times the length of its short side find the area if the height from the long side is 23 and the perimeter is 125.
a. 2,875
b. ~ 514.3
c. 1,150
d. 2,200
9514 1404 393
Answer:
c. 1150 square units
Step-by-step explanation:
The sum of the two side lengths is half the perimeter, so is 125/2 = 62.5 units. The long side is 4/5 of that, so is 50 units.
The area is the product of the long side and the height to the long side:
A = bh
A = (50 units)(23 units) = 1150 units²
__
Additional comment
This geometry is impossible, because the height from the long side cannot be more than the length of the short side. Here, the short side is 12.5 units, so it is not possible for the height to be 23 units.
If the height is measured from the short side, then the area is 287.5 square units.
100 points to who ever can answer this the best
a. n =17
b. n =23
c. n = 9
d. n = 15
Answer:
(a) n = 17
(b) n = 23
(c) n = 9
(d) n = 15
Step-by-step explanation:
Sum of the first n terms of an arithmetic series:
[tex]\boxed{S_n=\dfrac{n}{2}(a+a_n)}[/tex]
where:
a is the first term.aₙ is the nth term.Part (a)[tex]\displaystyle \sum^n_{i=1}(3i+5)=544[/tex]
To find a substitute i = 1 into the equation:
[tex]\implies a=3(1)+5=8[/tex]
To find aₙ substitute i = n into the equation:
[tex]\implies a_n=3n+5[/tex]
Substitute the values of a, aₙ and Sₙ into the arithmetic series formula and solve for n:
[tex]\begin{aligned}S_n & =\dfrac{n}{2}(a+a_n)\\ \implies 544&=\dfrac{n}{2}(8+3n+5)\\1088&=n(3n+13)\\1088&=3n^2+13n\\3n^2+13n-1088&=0\\3n^2-51n+64n-1088&=0\\3n(n-17)+64(n-17)&=0\\(n-17)(3n+64)&=0\\\\n-17&=0 \implies n=17\\3n+64&=0 \implies n=-\dfrac{64}{3} \end{aligned}[/tex]
As n is positive, n = 17.
Part (b)[tex]\displaystyle \sum^n_{i=1}(-4i-1)=-1127[/tex]
To find a substitute i = 1 into the equation:
[tex]\implies a=-4(1)-1=-5[/tex]
To find aₙ substitute i = n into the equation:
[tex]\implies a_n=-4n-1[/tex]
Substitute the values of a, aₙ and Sₙ into the arithmetic series formula and solve for n:
[tex]\begin{aligned}S_n & =\dfrac{n}{2}(a+a_n)\\ \implies -1127&=\dfrac{n}{2}(-5-4n-1)\\-2254&=n(-4n-6)\\-2254&=-4n^2-6n\\4n^2+6n-2254&=0\\2n^2+3n-1127&=0\\2n^2-46n+49n-1127&=0\\2n(n-23)+49(n-23)&=0\\(2n+49)(n-23)&=0\\\\2n+49&=0 \implies n=-\dfrac{49}{2}\\n-23&=0 \implies n=23 \end{aligned}[/tex]
As n is positive, n = 23.
Part (c)[tex]\displaystyle \sum^n_{i=5}(7+12i)=455[/tex]
[tex]\boxed{\displaystyle \sum _{i=m}^n\:=\:\sum _{i=1}^n\:-\:\sum _{i=1}^{m-1}}[/tex]
Therefore:
[tex]\displaystyle \sum^n_{i=1}(7+12i)-\sum^{4}_{i=1}(7+12i)=455[/tex]
To find a substitute i = 1 into the equation:
[tex]\implies a=7+12(1)=19[/tex]
To find aₙ substitute i = n into the equation:
[tex]\implies a_n=7+12n[/tex]
To find a₄ substitute i = 4 into the equation:
[tex]\implies a=7+12(4)=55[/tex]
Therefore:
[tex]\begin{aligned}\displaystyle \sum^n_{i=1}(7+12i)-\sum^{4}_{i=1}(7+12i)&=455\\\dfrac{n}{2}(19+7+12n)-\dfrac{4}{2}(19+55)&=455\\\dfrac{n}{2}(12n+26)-148&=455\\ \dfrac{n}{2}(12n+26)&=603\\6n^2+13n&=603\\6n^2+13n-603&=0\\ 6n^2-54n+67n-603&=0\\6n(n-9)+67(n-9)&=0\\(6n+67)(n-9)&=0\\\\6n+67&=0 \implies n=-\dfrac{67}{6}\\n-9&=0 \implies n=9\end{aligned}[/tex]
As n is positive, n = 9.
Part (d)[tex]\displaystyle \sum^n_{i=3}(-3-4i)=-507[/tex]
[tex]\boxed{\displaystyle \sum _{i=m}^n\:=\:\sum _{i=1}^n\:-\:\sum _{i=1}^{m-1}}[/tex]
Therefore:
[tex]\displaystyle \sum^n_{i=1}(-3-4i)-\sum^{2}_{i=1}(-3-4i)=-507[/tex]
To find a substitute i = 1 into the equation:
[tex]\implies a=-3-4(1)=-7[/tex]
To find aₙ substitute i = n into the equation:
[tex]\implies a_n=-3-4n[/tex]
To find a₂ substitute i = 2 into the equation:
[tex]\implies a=-3-4(2)=-11[/tex]
Therefore:
[tex]\begin{aligned}\displaystyle \sum^n_{i=1}(-3-4i)-\sum^{2}_{i=1}(-3-4i)&=-507\\\dfrac{n}{2}(-7-3-4n)-\dfrac{2}{2}(-7-11)&=-507\\\dfrac{n}{2}(-4n-10)+18&=-507\\-2n^2-5n&=-525\\2n^2+5n-525&=0\\ 2n^2-30n+35n-525&=0\\2n(n-15)+35(n-15)&=0\\(2n+35)(n-15)&=0\\\\2n+35&=0 \implies n=-\dfrac{35}{2}\\n-15&=0 \implies n=15 \end{aligned}[/tex]
As n is positive, n = 15.
PLEASE ILL GIVE BRAINLIEST
Ahmed has 31 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 535 cents, how many dimes and how many quarters does he have?
Answer:
19 dimes and 15 quarters.
Step-by-step explanation:
Lets substitute in the equation
565=10x+25(34-x)
565=10x+850-25x
15x=285
x=19
So...
34-19=15
The sales tax charged on a $40 dress was $3.20. What is the sales tax rate charged on the dress?
Answer:
It's 8%
Step-by-step explanation:
3.20 divided by 40 = 0.08
0.08 = 8% therefore $3.20 divided by $40.00 = 8% sales tax
what time is it from where y’all live ?
Answer:
1 Pm
Step-by-step explanation:
Answer:
3:18 Pm
Step-by-step explanation:
Nice picture of mute button
Cole knows that r/s = t for integers r, s, and Based on what Cole knows which of the following equations is NOT true?
A. -r/-s =t
B. -r/s =-t
C. -r/-s =-t
D.r/-s =-t
c because -t=-r/-s equals -t=r/s
Josie has a standard number cube and a fair coin. What is the probability that Josie will roll a 3 and flip a tail?
A) 1/4
B) 1/6
C) 1/8
D) 1/12
For any positive numbers a, b, and d, with b + 1, logo
= d.logy a.
A. da
B. ad. logo ad
оооо
c. logo a + logo d
+
D. ad
For any positive numbers a, b, and d, with b ≠ 1, [tex]d*log_ba=lob_ba^d[/tex]
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given:
[tex]d*log_ba\\\\Using\ law\ of\ logarithms:\\\\d*log_ba=lob_ba^d[/tex]
For any positive numbers a, b, and d, with b ≠ 1, [tex]d*log_ba=lob_ba^d[/tex]
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The Smiths painted their house blue. The complete predicate of this sentence is _____.
Smiths
the Smiths
Which is the most reasonable measure for the capacity of a bathtub?
O 5 liters
O 159 liters
O 159 milliliters
O 1000 milliliters
n manufacturing a product, 85% of the units that are produced are not defective. Of the products inspected, 10% of the good ones (i.e., not defective) are falsely seen as defective and not shipped whereas only 5% of the defective products end up approved and shipped. If a product is shipped, what is the probability that it is defective?
Answer:
0.0097 = 0.97% probability that it is defective
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Product is shipped.
Event B: It is defective.
Probability of the product being shipped:
100 - 10 = 90% of 85%(not defective).
5% of 100 - 85 = 15%(defective). So
[tex]P(A) = 0.9*0.85 + 0.05*0.15 = 0.7725[/tex]
Probability of being shipped and being defective:
5% of 15%. So
[tex]P(A \cap B) = 0.05*0.15 = 0.0075[/tex]
What is the probability that it is defective?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0075}{0.7725} = 0.0097[/tex]
0.0097 = 0.97% probability that it is defective
Express y-4[y-3(y-2)] -5 in simplest form
Answer:
y^3 - 9y^2 + 26y - 29
Step-by-step explanation:
y - 4[y - 3(y - 2)] - 5
I'm going to separate it into parts
(y - 3)(y - 2)
y^2 - 5y + 6
(y - 4)(y^2 - 5y + 6)
y^3 - 5y^2 + 6y - 4y^2 + 20y - 24
y^3 - 9y^2 + 26y - 24
y^3 - 9y^2 + 26y - 24 - 5
y^3 - 9y^2 + 26y - 29
The sales tax in your city is 8.8\%8.8%8, point, 8, percent, and an item costs \$63$63dollar sign, 63 before tax.
How much tax would you pay on that item?
9514 1404 393
Answer:
$5.54
Step-by-step explanation:
8.8% of $63 is ...
0.088×$63 = $5.544
The tax is rounded to the nearest cent, so you would pay $5.54 in tax.
Answer: 5.54
Step-by-step explanation: khan said it was correct
Divide (2 3/5) divide sign 2/3
(1 4/5)
(2 9/10)
(1 11/15)
(3 9/10
Answer:
i guess use this https://www.calculatorsoup.com/calculators/math/fractions.php
Step-by-step explanation:
If the radius of the circle x² + y2 - 4x - 6y - k = 0 is
4 units, find the value of k.
Answer: 3
Step-by-step explanation:
Given
The equation of the circle is [tex]x^2+y^2-4x-6y-k=0[/tex]
Using completing the square method
[tex]\Rightarrow x^2+y^2-4x-6y+4-4+9-9-k=0\\\Rightarrow \left( x^2-4x+4\right)+\left( y^2-6y+9\right)-\left( k+4+9\right)=0\\\Rightarrow \left( x-2\right)^2+\left( y-3\right)^2=\left( k+13\right)[/tex]
on comparing with standard form, [tex]r^2=k+13[/tex]
Insert the value of r
[tex]\Rightarrow 4^2=k+13\\\Rightarrow k=16-13\\\Rightarrow k=3[/tex]
Help pls someone can someone help me pls pls
Answer:
Mo is correct because when you divide 66.25 from both sides it is 12.
Step-by-step explanation:
Answer needed Answer needed!
Answer:
I plotted points since i cant draw lines very well with a mouse
Step-by-step explanation:
Answer:
(-1,1); (-4,1); (-4,3)
Step-by-step explanation:
You are going to move it to the left. The point closest to the y-axis (1,1) will now be (-1,1). The point all the way to the right on the bottom will be (-4,1) and the top right point will be (-4,3). Hope this helps!
what number shoild come next 100,96,88,72
Answer - 40
----------
100 - 4
96 - 8
88 - 16
72 - 32
Which fraction is equivalent to
1/3
Answer:
there's many! three examples of equivalent fractions to 1/3 are: 3/9 9/27. and 27/81
Hope that helps!
What is the length of YZ?
Answer:
28.6 units
Step-by-step explanation:
44/36=35/YZ
44 YZ = 35*36
44 YZ = 1260
YZ = 28.6 units
[tex]9\frac{x}{y} -10-\sqrt{x} 5[/tex]
Possible asks from the question?!
Mr. Halsey leans a ladder against an 11.5 foot wall the bottom the of the ladder is 3.5 ft from the base of the wall as shown what is the approximate length of the ladder
Hence, the approximate length of the ladder is [tex]12ft[/tex].
What is the approximation value?
An approximation is anything that is similar, but not exactly equal, to something else. A number can be approximated by rounding.
A calculation can be approximated by rounding the values within it before performing the operations.
Here given that,
[tex](x)^2=(11.5)^2+(3.5)^2\\X^2=132.25+12.25\\X^2=144.5 \\X=\sqrt{144.5}\\X=12 feet[/tex]
Hence, the approximate length of the ladder is [tex]12ft[/tex].
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A road is inclined at an angle of 3°. After driving 5330 feet along this road, find the drivers increase in altitude
Patrica buys a total of 5 party hats and 5 balloons for the children at a party. Each party hat costs $0.50. Patrica spends a total of $7.50 for the party hats and the balloons. Enter an equation that models the situation with b, the cost of 1 balloon.
Answer:
b=2.5-7.50
Step-by-step explanation: so 5 party hats cost 50 cents, so times that by 5 to get 2.50, and then use the 7.50 and minus it.
it takes jackie 2 hours to make 9 bracelets how many bracelets can she make in 8 hour's?
Answer:
8b = 96
Step-by-step explanation: