Answer:
H0:p=0.5
H1:p>0.5
Sample proportion=492/792=0.6276
Test statistic:
z=(0.6276-0.5)/sqrt(0.5*(1-0.5)/784)
z=7.14
p-value=P(z>7.14)=0
Step-by-step explanation:
give one example of the following properties for whole number under addition
Step-by-step explanation:
Objective: Recall the properties.
a) 3+1=4
b) 3+7=7+3
c) 3+(7+4)=7+(3+4)
d). 3(7+4)=(3×7)+(3×4)
3.(8 points)Consider the following experiment:Experiment: A bag contains 3 red balls, 4 blue balls, 4 green balls and 3yellow balls. Two balls are drawn from the bag without replacing the ballafter the first draw.(a)(2 points)Specify the sample space (set of outcomes) and probability distributionof the outcomes.(b)(3 points)If you draw two balls from the bag without replacing them, what isthe probability of drawing two red balls
Answer:
3 / 91
Step-by-step explanation:
Given :
Red balls = 3
Blue balls = 4
Green balls = 4
Yellow balls = 3
Total number of balls = (3+4+4+3) = 14
Sample space :
RR, BB, GG, YY, RB, BR, BG, GB, YG, GY, YR, RY, BY, YB, GR, RG
Probability of drawing two red balls without replacement :
1st draw :
P(red) = number of red balls / total number of balls
P(red) = 3/14
2nd draw :
P(red) = 2 / 13
Hence,
P(RR) = 3/14 * 2/13 = 6 / 182 = 3 / 91
Joseph has 22 gallons of fertilizer. He uses 7 quarts to fertilize his plants.
How many quarts of fertilizer are left?
Answer:
81
Step-by-step explanation:
4 quarts = 1 gallon
there are 22 gallons so multiply 4 by 22
that equals 88 quarts then subtract 7
leaving you with 81 quarts
x^ 3 + 3 x ^ 2 - 9 x - 27 draw the graph of the first derivative and the second derivative on the same set
Answer:
The graph is in the second attached image.
Step-by-step explanation:
In the first attached image, you have three equation graphed, the first is in red color, it's the original equation:
x^3 + 3x^2 - 9x - 27I graphed this to obtain a clear relation between the equation and its derivatives, the second graphed equation is in blue color and it's the first derivative:
First derivative = 3x^2 + 6x - 9 (It's a parabola)And at last, we have in green color the second derivative:
Second derivative = 6x + 6 (It's a line)As you can see, you only need the first and the second derivatives in the exercise, by this reason, in the second attached image you have the graph as you need to show in this exercise.
Which angle is an obtuse angle?
A. 310°
B. 80°
O c. 260°
O D. 170°
Step-by-step explanation:
obtuse angle is an angle whose measure is more than 90 degree but less than 180 degree..
So,
170°
what is (2²)×(2²)‐³ when simplified
Step-by-step explanation:
Everything has been written ..
Find the measurement of the numbered angles
Answer:
m<1 = 60
m<2 = 30
m<3 = 80
Step-by-step explanation:
1. Solve for angle (1)
The sum of angles in any triangle is (180) degrees. As one can see, there is a (30) degree angle in this triangle, and a (90) degree angle. Bear in mind that the box around an angle indicates that it is a (90) degree angle. One can form an equation and solve for the unknown angle using this given information;
(30) + (m<1) + (90) = 180
Simplify,
120 + m<1 = 180
Inverse operations,
m<1 = 60
2. Solve for angle (2)
The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. One can apply this theorem here by stating the following,
m<2 = 30
Thus one gets their answer, the measure of angle (2) must be (30) degrees by the vertical angles theorem.
3. Solve for angle (3)
As states above, the sum of angles in a triangle is (180) degrees. Since one has found the measure of angle (2), one can form an equation and solve for the measure of angle (3) using the given information, combined with the information found.
(m<2) + (70) + (m<3) = 180
Susbtitute,
30 + 70 + (m<3) = 180
Simplify,
100 + m<3 = 180
Invers eoperations,
m<3 = 80
Find the simple interest on a loan of ₱65,000.00 if the loan is given at a rate of 2% and is
due in 5 years and 3 months?
Answer:
6,825
Step-by-step explanation:
The principlal is #65,000
Rate, = 2%
= 2/100
= 0.02
Time= 5+0.25
= 5.25
Simple interest= 65,000×0.02×5.25
= 6,825
Question 6. * The number of likes a social media post has generated has been tracked as a function of the number of min since it was posted. The data is shown in the table below, where t is the number of minutes and I is the number of likes. If an exponential model was used to fit this data, which of the following would be closest to its prediction for the number of likes after one hour
Answer:
Step-by-step explanation:
yes
HELP ASAP!!!
(Question and answers pictured)
9514 1404 393
Answer:
(d) reflection about the x-axis, up 6 units
Step-by-step explanation:
The parent function y=1/x is multiplied by -1, which reflects it over the x-axis. Then 6 is added, which shifts it up 6 units.
The transformations are ...
reflection about the x-axis, up 6 units
Mathematical Literacy Assignment no 2021
Which of the following are true statements using the Associative Property of Multiplication?
(a – b) – c = a – (b – c)
a(b + c) = ab + ac
a(bc) = (ab)c
(a + b) + c = c + (a + b)
9514 1404 393
Answer:
a(bc) = (ab)c
Step-by-step explanation:
The associative property of multiplication says the product is the same regardless of how the factors are grouped. That is demonstrated by the equality ...
a(bc) = (ab)c
what is the derivative of y=(x^2√(1+x))/((1+x^2)^3/2))
Step-by-step explanation:
Maple calculator used.........................
Answer:
Step-by-step explanation:
[tex]f(x)={x^2\sqrt{1+x}\over{(1+x^2)^{3\over{2}}}}\\\\f^\prime (x)=\frac{{{(x^2\sqrt{1+x})^\prime (1+x^2)^{\frac{3}{2}}+ (x^2\sqrt{1+x})}((1+x^2)^{\frac{3}{2}}})^\prime}{((1+x^2)^\frac{3}{2})^2}}}[/tex]
[tex](x^2 \sqrt{1+x})^\prime=2x\sqrt{1+x}+ \frac{x^2}{2\sqrt{1+x}}[/tex]
[tex]((1+x^2)^{\frac{3}{2}})^\prime=\frac{3}{2}(1+x^2)^{\frac{1}{2}} (2x)=3x(1+x^2)^{\frac{1}{2}}[/tex]
[tex]f^\prime(x)=\frac{\{(1+x^2)^{\frac{3}{2}}\}(2x\sqrt{1+x}+\frac{x^2}{2\sqrt{1+x}})+(x^2 \sqrt{1+x})(3x\sqrt{1+x^2})}{(1+x^2)^{3}}}[/tex]
[tex]\sqrt{1+x^2}=\sqrt{(1+x)(1-x)}[/tex]
[tex]f^\prime (x)=x\sqrt{1+x}~\frac{(1+x^2)^{\frac{3}{2}}(2+\frac{x^2}{2(1+x)})+3x^2\sqrt{1-x}}{(1+x^2)^3}[/tex]
The following are the Pulse Rates of the 12 students in a Math Class
76 60 59 60
81 72 91 80
80 68 73 77
If we create Classes for a relative frequency distribution.
For the Class 50-59 , find the frequency
Answer:
1
Step-by-step explanation:
Given the pulse rate for 12 students :
76 60 59 60 81 72 91 80 80 68 73 77
Creating class intervals ::
Width = 10
59, 60, 60, 68, 72, 73, 76, 77, 80, 80, 81, 91
Interval ____ Frequency
50 - 59 ______ 1
60 - 69 ______ 3
70 - 79 ______ 4
80 - 89 ______ 3
90 - 99 ______ 1
Frequebcy if the 50 - 59 class interval is 1
a total of 10000 was invested in two business ventures A and B .at the of the first year A and B yielded returns of 6% and 23÷4 respective on the original investment how was the original amount allocated if the total amount earned was 588.75?
Answer:
(1)
compound amount = 802.5 $
invest earned = 52.5 $
Step-by-step explanation:
total amount = 10000 $
let amount x invested in ventures A and remaining (1000-x) on ventures B
now,
6x/100 +23/400(1000-x ) = 588.75
{24x+23(1000-x)}/400 =588.75
x=235500-230000
x=5500
Amount invested on A = 5500$
Amount invested on B = 4500$
(2)
principle=750$
time= 1 year
effective invest rate = 7%
a) compound amount = p(1+(r/w)^t
=750{1+(7/100)}^1
=802.5$
b) invest earned = 802.5-700 = 52.5$
About 5% of the population has a particular genetic mutation. 200 people are randomly selected.
Find the mean for the number of people with the genetic mutation in such groups of 200.
Answer:
ok 200 we have to find 5% of 200 so since 200 is doable 100 we just multiply 5 by 2 to get 10
so out of the 200 people 10 of them have the mutation
Hope This Helps!!!
Seven times a number decreased by three-fourths of the same number is 25. What is the number?
Answer:
The number is four (4)
Step-by-step explanation:
look at the picture above, it explains everything
using long division what is the quotient of this expression?
Answer:
A
Step-by-step explanation:
Answer:
Answer is A
Step-by-step explanation:
Do they take your phones and watch you take the cumulative test on edginuity?
Answer:
I don't know what your school is doing but what happened to me was that I just waited for the test to be unlocked and I was working from home so I was able to keep my phone and I didn't need to be in a meeting
QUESTION AT THE BOTTOM MAKE SURE YOU KNOW THE ANSWER FIRST PLAESE
Answer:
V=πr2h /3
so we just substate and we get
V≈130.9
Answer: 130.83 units cubed
Step-by-step explanation:
The formula for finding the volume of a cone is [tex]\pi r^2\frac{h}{3}[/tex]
We will use 3.14 for pi.
[tex]3.14r^2\frac{h}{3}[/tex]
Now let's sub in our variables and solve
[tex]3.14(5^2)(\frac{5}{3})\\3.14(25)(\frac{5}{3})\\78.5(\frac{5}{3})\\130 \frac{5}{6}[/tex]
5/6 is about .83
130.83
Classify the angle pairs
Answer:
Alternate exterior
Step-by-step explanation:
Angles 2 and 7 are on exterior sides of the transversal and also are opposite to one another. They are classified as alternate exterior.
Answer:
alternate exterior angles
Step-by-step explanation:
2 and 7 are on opposite sides of the transversal so they are called alternate
They are on the outside of the parallel lines so the are called exterior
the washington monument in washington d.c is 555 feet tall. If a tourist sees the monument with a viewing angle of 8, how far away, to the nearest foot, is she from the monument?
Answer:
3,964 ft
Step-by-step explanation:
555 / tan 8° = 555/0.14 = 3,964 ft
Russell deposited $200 to open a new bank account before he paid $250 for his portion of the rent. His bank charged him a $50 overdraft fee. Then he deposited his paycheck of $400. How much money is in Russell’s account now?
The answers isssssssss
$300
:)
If 8 x - 4 = 6 - 3 x then x =
Answer:
x = 10/11
Step-by-step explanation:
Your welcome! :)
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
I say number 2 idrk so I hope I helped >-<
Los principales accionistas de la empresa global zafiro S.A. están interesado en una empresa que representa una importante competencia. Entre los datos de la empresa tiene los siguientes: la planta opera a nivel que oscila entre 80 y 100% de su capacidad. Cuando su nivel de actividad es de 80% los costos variables de fabricación totalizan $180,000,000. A su nivel normal de 90% de la empresa utiliza 40,500 horas de mano de obra directa y tiene costos de fabricación totales de $371,500,000. Determina los costos de fabricación finos y variables al 80 y 100% de su capacidad
Answer:
Los costos de fabricación fijo y variables al 80 y 100% de su capacidad son:
80%: Fijos = $169,000,000.00 Variables = $180,000,000.00
100%: Fijos = $169,000,000.00 Variables = $225,000,000.00
Explicación:
Los costos totales de fabricación (CT) vienen dados por la suma de los costos fijos (CF) y los costos variables (CV), recordando que los costos fijos son aquellos en los que se incurre independientemente de que se esté operando o no; mientras que los costos variables son aquellos que dependen del nivel de actividad pues corresponden a consumibles en el proceso productivo.
En el caso estudio, se sabe que los costos variables de fabricación totalizan $180,000,000.00 al nivel de actividad de 80%. Ya que estos costos incrementan o disminuyen en relación con el nivel de actividad, planteamos una regla de tres simple para calcular los costos variables en los niveles de actividad 90% y 100%
Si al 80% de actividad ---------------- los CV son $180,000,000.00
al 90% de actividad ---------------- los CV serán x
x = [(90)(180,000,000.00)]/(80) = 202,500,000.00
Los costos variables de fabricación al nivel de actividad de 90% son $202,500,000.00
Si al 80% de actividad ---------------- los CV son $180,000,000.00
al 100% de actividad ---------------- los CV serán x
x = [(100)(180,000,000.00)]/(80) = 225,000,000.00
Los costos variables de fabricación al nivel de actividad de 100% son $225,000,000.00
Para conocer los costos fijos basta recordar que al nivel de actividad de 90% lo costos de fabricación totales son $371,500,000.00. Este monto es la suma de los costos fijos y los costos variables; así que:
CT = CV + CF ⇒ CV = CT - CF ⇒
CV = 371,500,000.00 - 202,500,000.00 = 169,000,000.00
Los costos fijos de fabricación son de $169,000,000.00
Conclusión:
Los costos de fabricación fijo y variables al 80 y 100% de su capacidad son:
80%: Fijos = $169,000,000.00 Variables = $180,000,000.00
100%: Fijos = $169,000,000.00 Variables = $225,000,000.00
Find the value of the polynomial 3x
3 – 4x
2+ 7x + 5, when x = 3 and also when
x = –3.
Answer:
71
-133
Step-by-step explanation:
Given the polynomial :
3x³– 4x² + 7x + 5, when x = 3 and also when
x = –3.
Put x = 3
3(3)³– 4(3)² + 7(3) + 5
3(27) - 4(9) + 21 + 5
81 - 36 + 21 + 5
= 71
Put x = - 3
3(-3)³– 4(-3)² + 7(-3) + 5
3(-27) - 4(9) - 21 + 5
-81 - 36 - 21 + 5
= - 133
find the mesure of angle b
Answer:
It's C
Step-by-step explanation:
because there is a 90 degrees sigh behind it and those two angles need to add up to 90
Answer:
31
Step-by-step explanation:
b+59=90
b=90-59
b=31
hope it helps
Which statements are correct? Check all that apply.
Answer:
E is the subset of I
S is the subset of T
R ⊂ P
Step-by-step explanation:
Please help I need your math skills I need to answer this or my teacher won’t add my picture in the year book slide-show!
A answer b B answer c
Step-by-step explanation:
