the mean of normally distributed test scores is 80 and the standard division is 5. If there are 186 test scores in the data sample, how many of them were in the 75 to 80 range?
Answer:
63
Step-by-step explanation:
score 75 is one standard dev below the mean ====>to the mean encompasses approx 34% of scores
.34 * 186 = 63
Rewrite 4-3.4-18 using positive exponents.
Answer:
Step-by-step explanation:
4^-3
= 1/4^3
4^-18
= 1/4^18.
8. Between what two consecutive integers must the value of log, 7342 lie? Justify your answer.
9. Between what two consecutive integers must the value of log, (500) lie? Justify your answer.
Can someone help me with these questions? I don’t understand what the question is asking or how to solve. Only 8 and 9
The two consecutive integers that the value of log₄7342 lie between are 6 and 7
The two consecutive integers that the value of log₅(1/500) lie between are -4 and -3
What are consecutive integers?Consecutive integers are whole numbers that follow each other without gaps. For example, 1 and 2; 6 and 7; 5 and 6; 18 and 19 etc.
From the question, we are to determine between what two consecutive integers must the value of log₄7342 lie
The value of log₄7342 = 6.42
On the number line, 6.42 is between 6 and 7.
Hence, the two consecutive integers that the value of log₄7342 lie between are 6 and 7
For log₅(1/500)
The value of log₅(1/500) = -3.861
On the number line, -3.861 is between -4 and -3
Hence, the two consecutive integers that the value of log₅(1/500) lie between are -4 and -3
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A marble is selected at random from a jar containing 4 red marbles, 5 yellow marbles, and 3 green marbles. What is the probability that the marble that gets selected is red?
Answer:
p(picking red)= 4/12 (4 over 12) which can get simplified to 1/3 (1 over 3)
Consider the system of equations.
h(x) = 4x-2
j(x)= - 2x + 4
What does the point (1,2) represent in the system of equations?
A.
the minimum value
B.
the maximum value
C.
the point when h(x) = j(x)
D.
the domain and the range
Please help me with this problem
Answer:
Answer is 41 ft
Step-by-step explanation:
From the right angled triangle above, two sides are known. That is the adjacent and opposite. The hypotenuse is not known so we represent it with a variable say h
Using Pythagora's theorem we have,
[tex] {h}^{2} = {12}^{2} + {12}^{2} \\ {h}^{2} = 144 + 144 \\ {h}^{2} = 288 \\ h = \sqrt{288} \\ h = 12 \sqrt{2} [/tex]
Having found the value of the third side, the perimeter of the triangle can now be determined by summing up the length of all the sides.
[tex]perimeter = adjacent + opposite + hypotenuse \\ p = 12 + 12 + 12 \sqrt{2} \\ p = 24 + 12 \sqrt{2} \\ p = 40.97 \\ to \: the \: nearest \: whole \: number \\ p = 41 \: ft[/tex]
Therefore the perimeter of the triangle is 41 ft.
Work out the surface area of this cylinder
Answer:
in terms of pi: 24pi cm squared
substituting pi for 3.14: 75.36 cm squared
Step-by-step explanation:
8pi + 16pi = 24pi
What is the ratio of the volumes of two similar rectangles, if the ratio of their perimeters is 2:9?
Answer:
Step-the base is equal to length * width.
the formula for the volume of a rectangular prism becomes length * width * height.
the ratio of the volume of a three sided figure is the ratio of their corresponding sides cubed.
so if the ratio of their volumes is 125/64, then the ratio of their corresponding sides id 5/4 because 5^3 = 125 and 4^3 = 64.
since the base area is equal to length * widfth, then the ratio of the areas becomes 5^2 / 4^2 which is equal to 25/16.
the ratio of the base area becomes 25/16.
to confirm, use an example:
original prism has dimensions as shown below:
length = 20
width = 40
height = 60
volume = 20 * 40 * 60 = 48000
base area = 20 * 40 = 800
prims that has sides in a ratio of 5/4 to original prism is shown below:
length = 20 * 5/4 = 25
width = 40 * 5/4 = 50
height = 60 * 5/4 = 75
volume = 25 * 50 * 75 = 93750
base area = 25 * 50 = 1250
ratio of the volumes = 93750 / 48000 = 1.953125
ratio of the base areas = 1250 / 800 = 1.5625
125/64 = 1.953125
25/16 = 1.5625
the formulas work.
the ratio of the volume is 125/64
the ratio of the base area is 25/16by-step explanation:
volume = 20 * 40 * 60 = 48000
base area = 20 * 40 = 800
prims that has sides in a ratio of 5/4 to original prism is shown below:
length = 20 * 5/4 = 25
width = 40 * 5/4 = 50
height = 60 * 5/4 = 75
volume = 25 * 50 * 75 = 93750
base area = 25 * 50 = 1250
Find the greatest common factor of 12y4 and 7y3.
Answer:
24
Step-by-step explanation:
12*2=24
7*3=24
3*7=24
4*6=24
Hope this helps!
Please help ASAP
The internal measures of a cubiodal room are 12m x 8m x 4m. Find the total cost of whitewashing all four walls of a room. If the cost of whitewashing is ₹5 per m². what will be the cost of whitewashing if the ceiling of the room is also whitewashed.
Let the length of the room = L = 12m
width of the room = b = 8m
Height of the room = h = 4m
• Area of the four walls of the room = Perimeter of the base x Height of the room.
[tex] = 2(l + b) \times h = 2(12 + 8) \times 4[/tex]
[tex] = 2 \times 20 \times 4 = 160 {m}^{2} [/tex]
Cost of white washing per m² = ₹5Hence , the total cost of white washing four walls of the room ;-
₹ ( 160 x 5 ) = ₹ 800Area of ceiling is 12 x 8 = 96m².Cost of white washing the ceiling.
₹ (96 x 5 ) = ₹ 480.So , the total cost of white washing ;
₹ ( 800 + 480 ) = ₹ 1280 .Hope this helps you :)
#Carry on learning# :) ..
Question 5 of 20
(___)^2=(secx-1)(secx+1)
answer here:
Select the correct answer from the drop-down menu. an automobile manufacturer wants to find out what types of product-related problems its customers are experiencing. the best method to gather the data is .
The correct answer from the drop-down menu is a survey, this is because the type of data you are interested in is more subjective and open-ended.
What is the survey method?To find out what types of product-related problems its customers are experiencing we need to investigate about the problems faced by customers by means of collecting data from a sample of population.
In this case, we have that a survey is a data collection of questions used to gather information about population.
See more about survey method at brainly.com/question/17373064
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somebody please help me
Answer:
is the answer 2 3/4
Step-by-step explanation:
A culture of bacteria contains 1,500 bacteria initially and doubles every 30 minutes.
1. Write a function that models the number of bacteria after t time.
2. Find the number of bacteria after 2 hours.
3. After how many minutes will there be 12,000 bacteria
if the bacterial is doubling, that means the growth rate is 100%, or 100% plus whatever it was before, so
[tex]\textit{Periodic/Cyclical Exponential Growth} \\\\ A=P(1 + r)^{\frac{t}{c}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &1500\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1\\ t=minutes\\ c=period\dotfill &30 \end{cases} \\\\\\ A=1500(1 + 1)^{\frac{t}{30}}\implies A=1500(2)^{\frac{t}{30}} \\\\\\ \stackrel{\textit{after two hours, or 120 minutes, t = 120}~\hfill }{A=1500(2)^{\frac{120}{30}}\implies A=1500(2)^4\implies A=24000}[/tex]
[tex]~\dotfill\\\\ \stackrel{\textit{current amount being 12000}}{12000=1500(2)^{\frac{t}{30}}}\implies \cfrac{12000}{1500}=(2)^{\frac{t}{30}}\implies 8=(2)^{\frac{t}{30}}\implies 8=\sqrt[30]{2^t} \\\\\\ 8^{30}=2^t\implies (2^3)^{30}=2^t\implies 2^{90}=2^t\implies 90=t[/tex]
The volume of this cube is 27 cubic meters. What is the value of m?
Hey ! there
Answer:
n is equal to 3 metersStep-by-step explanation:
In this question we are provided with a cube having volume 27 cubic meters . And we are asked to find the value of n that is basically its edge .
For finding the value of n we need to know the volume of cube. So ,
[tex] \: \qquad \: \qquad \: \underline{ \boxed{ \frak{Volume_{(Cube)} = a {}^{3} }}}[/tex]
Where ,
a refers to edge of cubeSOLUTION : -
Substituting given volume that is 27 m³ and value of a as n in formula :
[tex] \quad \longrightarrow \qquad \: n {}^{3} = 27[/tex]
Applying cube root on both sides :
[tex] \quad \longrightarrow \qquad \: \sqrt[3]{n {}^{3} } = \sqrt[3]{27} [/tex]
We get ,
[tex] \quad \longrightarrow \qquad \:n= \sqrt[3]{27} [/tex]
We know that 3 × 3 × 3 is equal to 27 that means cube root of 27 is 3 . So ,
[tex] \quad \longrightarrow \qquad \: \blue{\underline{\boxed{\frak{ n = 3 \: m}}}} \quad \bigstar[/tex]
Henceforth , value of n is ❝ 3 meters ❞Verifying : -
Now we are checking our answer whether it is wrong or right by substituting value of n and equating it with given volume that is 27 cubic meters . So ,
a³ = 27 ( where a is equal to n )Substituting values :
( 3 )³ = 273 × 3 × 3 = 279 × 3 = 2727 = 27L.H.S = R.H.SHence, Verified .Therefore, our answer is correct .
#Keep LearningAnswer:
3
Step-by-step explanation:
Formula for volume of cube :
V = n³Here, V is given to be 27 m³.
Substitute the value of V in the formula.
Solving : Take the cubic root on each side.
27 m³ = n³n = ∛27 m³n = 3 metersFind length AC. Give answer to 2 decimal places.
Answer:
6.62cm
Step-by-step explanation:
tan = opp/adj
opp = adj(tan)
opp = 13(tan(27))
opp = 6.62cm
I NEED THE PROPER ANSWER AND EXPLAINATION PLS
complete these rates:
a) $96 in 3 hours = $ /h
b) 14 g in 2 minutes = g/min
c) 32 m in 10 seconds = m/min
d) $7.40 in 30 minutes = $ /h
e) 660 runs in 8 matches = runs/match
Answer:
See below
Step-by-step explanation:
a) $96 in 3 hours = 96/3 = $32/hb) 14 g in 2 minutes = 14/2 =7 g/minc) 32 m in 10 seconds = 32*60/10 = 132 m/mind) $7.40 in 30 minutes = 7.40*60/30= $14.8 /he) 660 runs in 8 matches = 660/8 = 82.5 runs/match∆CAT ≅ ∆DOG. Find x.
Answer:
A
Step-by-step explanation:
since the triangles are congruent , then corresponding sides are congruent
AC = OD
8x - 6 = 3x + 9 ( subtract 3x from both sides )
5x - 6 = 9 ( add 6 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
he pyramid shown below represents the Pyramid of the Moon, which is located in Teotihuacan, Mexico.
What is the volume of this pyramid?
Answer:
1156528
Step-by-step explanation:
you multiply all of the numbers to get it i think hope this helps
What is the answer please?
Answer:
The figures are not similar. If the purple rectangle were to get a transformation, then it would grow. For it to be
Step-by-step explanation:
If the purple rectangle were to get a transformation, then it would grow. For it to be similar it would be stretched one way to be as long as the green rectangle, but that's not how this works. Therefore, they are not similar.
Hope this helps <3
Four types of soda are served at a birthday party. in an icebox containing a large number of cans of soda, 20% are ambrase, 30% are butonic, 15% are colana, and 35% are dynamite. a party guest randomly chooses four cans of soda. calculate the probability that the guest chooses one of each type of soda.
The probability that the guest chooses one of each type of soda will be 8.03%.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
Four types of soda are served at a birthday party. in an icebox containing a large number of cans of soda, 20% are Ambrase, 30% are Butonic, 15% are Colana, and 35% are Dynamite.
A party guest randomly chooses four cans of soda.
Then the probability that the guest chooses one of each type of soda will be
Let the total number of the soda can will be 100. Then we have
Ambrase = 20
Butonic = 30
Colana = 15
Dynamite = 35
[tex]\rm P = \dfrac{^{20}C_1 \times ^{30}C_1\times ^{15}C_1\times ^{35}C_1}{^{100}C_4}\\\\\\P =\dfrac{20 \times 30 \times 15 \times 35}{3921225}\\\\\\P = \dfrac{600}{7469}\\\\\\P = 0.08033\\\\\\P = 8.03\%[/tex]
More about the probability link is given below.
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Which statements about the hyperbola are true? check all that apply. the center is located at (0, 0). there is a vertex at (–6, 0). the transverse axis of the graph is vertical. the foci are located within the rectangular reference box. the directrices are vertical lines.
The following claims concerning hyperbola are correct:
The center can be found at (0, 0).At (–6, 0), there is a vertex.Vertical lines serve as directrices.What is a hyperbola, exactly?It's worth noting that a hyperbola is essentially an open curve with two branches.
The center is at (0, 0), the vertex is at (–6, 0), and the directrices are all vertical lines.
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Answer:
1,2,5
Step-by-step explanation:
Change 36.2% to a fraction.
Answer:
Step-by-step explanation:
Conversion
A % can always be changed into a decimal by dividing by one hundred. In this case
decimal = 36.2/100 = 0.262 \\
Answer: 0.262
Answer:
181/500
Step-by-step explanation:
A researcher conducts a written survey to determine the opinion of subjects regarding their opinion of the favorability of a certain hospital. What does a large standard deviation on all the answers tell the researcher about the research sample
A large standard deviation means the view of the people is very dispersed and not near the mean or not similar.
What is the meaning of Standard Deviation ?Standard deviation is a very important terminology in Statistics which help to study dispersion of data from the mean
A lower value of standard deviation means the data is accumulated near the mean while a higher value means the data is dispersed in the entire range.
It is given in the question that
A researcher conducts a written survey to determine the opinion of subjects regarding their opinion of the favorability of a certain hospital.
The standard deviation value for the sample is large
A large standard deviation means the view of the people is very dispersed and not near the mean or not same.
There will be difference in the opinion as they deviate from the central value.
To know more about Standard Deviation
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Find the zeros of the function. State the multiplicity of multiple zeros.
y = 12x³ - 12x
Answer: the zeros are the xintercepts which are shown on the graph
Step-by-step explanation:
A pack of cookies contains 24 cookies. Now the advertisement says that the pack contains 25% more then before How many cookies are in the pack now?
Answer:
24 cookies increased by 25% is 30 cookies
step by step explination:
If you want to increase a number by a certain percentage, follow these steps:
1. Divide the number you wish to increase by 100 to find 1% of it.
2. Multiply 1% by your chosen percentage.
3. Add this number to your original number.
4. There you go, you have just added a percentage increase to a number!
Find the surface area of a basketball with a diameter of 24 cm. Answers are in terms of pi.
if it has a diameter of 24, then its radius must be half that, or 12.
[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=12 \end{cases}\implies SA=4\pi (12)^2\implies SA=576\pi[/tex]
A radio státlon réports news and weather
every 20 minutes for 4 minutes, if the
radlo is turned on at a random time, what
is the probabllty that the news
and weather report is NOT on?
E 0.2
H 0.6
G 0.4
J 0.8
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\:Note }}}[/tex]
➣ Timing of ràdiò station reporting news and weather is every in 20 minutes for 4 minutes➣ Probability :- An event that is likely to occur also A number, between 0 and 1, expressing the precise likelihood of an event happening.➣Denoted by :- P(A)[tex] \rule{70mm}{2.9pt}[/tex]
★ To find ★ ➣ we have to find Probability when news and weather report is not on ➣ we know that Probability[tex]{ \boxed{✠ \: \underline{ \boxed{ \sf{\: P(A) = \frac{Number \: of \: favourable \: outcomes}{Total \: number \: of \: favourable \: outcomes} }}} \: ✠}}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
✛ Here ✛
➣ Number of favourable outcomes = 4 min➣ Total number of favourable outcomes = 20 min➣ and P(A) = x ★ Now let's solve according to formula ★[tex] \qquad \sf \:➛ \: x = \frac {4 }{20} \\ \qquad \sf \:➛ \: x = \frac { \cancel4 }{ \cancel{20}} \\ \qquad \sf \:➛ \: x = 0.2min[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
★ Hence probabllty that the news and weather report is NOT on P(A)
[tex] \qquad \qquad{ \boxed{✟\: \underline{ \boxed{ \sf{\:0.2min\green ✓ }}} \:✟ }}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
Hope it helps !
Find the length of a hypotenuse for a right triangle with legs 3 and 3. Round your answer to the nearest hundredth.
Answer:
H=4.243
Step-by-step explanation:
Formula: A^2+B^2=C^2
(3)^2+(3)^2=C^2
9+9=C^2
sqrt18=C
C=4.242640....
Which organism will survive best in a damaged ecosystem? (science)
any organism that does not eat the damaged part of the ecosystem
one that eats a wide variety of foods
one that eats primarily one type of food
one that has two main food sources
Answer:
Step-by-step explanation:
Discussion
Think of what it would be like in your own household. If your mom has been away and the food is starting to spoil, you can't be picky. If you are not picky, you will get by until someone goes shopping.
That's the way its going to work in the ecosystem. I would pick B and hope that it the bad times won't last too long.
