Answer:
25 students:1 teacher
Step-by-step explanation:
in ever class in my school there is 1 teacher and we have between 20 and 30 students therefor 20 + 30 / 2 is 25
What is 1/3 of 30% of 5/6 of 0.6 of 12?
Step-by-step explanation:
[tex] \frac{1}{3 } \times \frac{30}{1} = 10 \\ \\ \frac{10}{1} \times \frac{5}{6} = 8.33 \\ \\ \frac{833}{100} \times \frac{6}{10} = 4.998 \\ \\ \frac{4998}{1000} \times \frac{12}{1} = 59.976[/tex]
PLease Help!! will mark brainilest!!
Answer:
(x+4)(x+6)
Step-by-step explanation:
(x^2+4x)+(6x+24)
x(x+4) 6(x+4)
(x+4) (x+6)
The sides of a square field are 24 meters. A sprinkler in the center of the field sprays a circular area with a diameter that corresponds to a side of the field. How much of the field is not reached by the sprinkler? Round your answer to the nearest hundredth. Use 3.14 for π.
Answer:
A
Step-by-step explanation:
i took the test
whenever a,x,y are positive integers, which of the following expressions is equivalent to x^ay^a
Answer:
[tex]{(xy)}^{a} [/tex]
Step-by-step explanation:
when the exponent is equal, we can put the x and y together in a bracket and a as the Exponent of xy.
Hope I get your question~
simplify: 6x²+35x-6÷ 2x²-72
Step-by-step explanation:
this will be the answer of the question where quotient is 3 and the remainder is 35x + 210
Answer:
[tex]\frac{6x - 1}{2(x - 6)}[/tex]
Step-by-step explanation:
[tex]6x^2 + 35x - 6 \ \div \ 2x^2 - 7 2\\\\6x^2 + 36x - x - 6 \ \div \ 2(x^2 - 36)\\\\6x(x + 6) - 1(x + 6) \ \div \ 2(x^2 - 6^2)\\\\(6x - 1)(x + 6) \ \div \ 2(x- 6)(x+ 6) \ \ \ \ \ \ \ \ \ \ [ \ x^2 -a^2 = (x-a)(x+a) \ ]\\\\\frac{(6x - 1)(x + 6) }{2(x- 6)(x+ 6)} = \frac{6x - 1}{2(x-6)}[/tex]
A muffin recipe calls for 3 times as much flour as sugar.
Use this information for
Write an expression that can be used to
find the amount of flour needed for a given
amount of sugar. Tell what the variable in
your expression represents
use the variable ( s ) to represent the amount of sugar
f=3s
f = the amount of flour
Hope this helps! :)
A simple random sample of 44 men from a normally distributed population results in a standard deviation of 10.7 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute.a. Identify the null and alternative hypotheses.
b. Compute the test statistic; χ2 = ___ .
c. Find the P-value; P-value = ____.d. State the conclusion.
Answer:
Step-by-step explanation:
The Hypothesis :
H0 : σ = 10
H1 : σ ≠ 10
The Chisquare statistic, χ² ;
χ² = [(n-1) * s²] ÷ σ²
Sample size, n = 44 ; sample Standard deviation, s = 10.7 ; population standard deviation, σ = 10
χ² = [(44 - 1) * 10.7²] ÷ 10²
χ² = [43 * 114.49] ÷ 100
χ² = [4923.07] ÷ 100
χ² = 49.2307
Using the Pvalue from Chisquare calculator :
degree of freedom, df = n - 1 = 44 - 1 = 43
Pvalue = 0.238
In a binomial experiment :________
a. the probability does not change from trial to trial
b. the probability does change from trial to trial
c. the probability could change from trial to trial, depending on the situation under consideration
d. None of these alternatives is correct.
Answer:
Hence the correct option is Option (a).
Step-by-step explanation:
Option (a) is correct.
The probability does not change from trial to trial.
p = Probability of sucess.
what percentage of 7 1/2 is 2 1/2
Answer:
7+½ = (7*2+(1))/2=15/2
Step-by-step explanation:
2+½ =5/2 and. (15/2)/(5/2)=3. this means %33.3333
Anyone can help me ?
9514 1404 393
Answer:
∠x = 80°∠y = 40°∠z = 60°Step-by-step explanation:
The angle marked x and the one marked 100° form a linear pair, so are supplementary. The measure of x is ...
x = 180° -100° = 80°
__
The angle marked 40° and the one marked y are "alternate interior angles" with respect to the parallel lines and the diagonal that crosses them. As such, they have the same measure:
y = 40°
__
The angle marked 100° and the sum of angles in the lower right corner are "corresponding" angles, so have the same measure. That is ...
100° = 40° +z
z = 100° -40° = 60°
The student council has 30 male members and 25 female members. What is the ratio of male student council members to female?
please help me please help me please help me please help me please help me please help me please
Answer:
Q3. 9
Q4. 6
Step-by-step explanation:
At the beginning of a population study, a city had 320,000 people. Each year since, the population has grown by 2.1%. Lett be the number of years since start of the study. Let y be the city's population. Write an exponential function showing the relationship between y and t.
Answer:
y = 320,000(2.1)^t
Step-by-step explanation:
uhm, im not very good at explaining, but everytime the year increases, the population will exponentially increase, that's why 't' is an exponent
Answer:
[tex]y=320000(1.021)^t[/tex]
Step-by-step explanation:
To increase something by x% mulitply it by (1+x)
in other words, to increase sometihng by 2.1% mulitply it by
(1+.021) or 1.021
because we are mulitplying 320000 by 1.021 each year we can write the equation as
y=320000(1.021)^t
I NEEEEED HELP!!!!!!
In an experiment, equal amounts of heated water and soil were left to cool down. The initial and final temperatures of each were recorded. A partial record of the temperature is shown. Experimental Record Substance Initial Temperature Final Temperature Water 27 °C 24 °C Soil 27 °C ? Which statement about the final temperature of soil is correct? (3 points) It will be less than 24 °C as soil loses heat relatively faster than water. It will be less than 24 °C as water loses heat relatively faster than soil. It will be more than 24 °C as it takes relatively longer to change soil temperature than water temperature. It will be more than 24 °C as it takes relatively longer to change water temperature than soil temperature.
Answer:less than 24 °C as soil loses heat relatively faster than water. It will be less than 24 °C as water loses heat relatively faster than soil. It will be more than 24 °C as it takes relatively longer to change soil temperature than water temperature. It will be more than 24 °C as it takes relatively longer to change water temperature than soil temperature.
Step-by-step explanation:
less than 24 °C as soil loses heat relatively faster than water. It will be less than 24 °C as water loses heat relatively faster than soil. It will be more than 24 °C as it takes relatively longer to change soil temperature than water temperature. It will be more than 24 °C as it takes relatively longer to change water temperature than soil temperature.
A right rectangular container is 10 cm wide and 24 cm long and contains water to a depth of 7cm. A stone is placed in the water and the water rises 2.7 cm. Find the volume of the stone.
Answer:
The volume of the rock is 648 cm^3
Step-by-step explanation:
Likely the only dimension that is free to move is the depth of 7 cm.
Volume of the Rock = L * W * h1
L = 24
W = 10
h1 = 2.7
V = 24 * 10 * 2.7
V = 648 cm^3
Which of the following theorems verifies that DEF = XYZ?
Answer:
AA
Step-by-step explanation:
HL = requires actual measurements of sides
LL = There are no measurements for the legs
HL = There are no measurements for the legs or hypotenuse
HA = Doesn't exist
4. Steven drove from place A to place B at an average speed of 50 km/h. At the same
time, Joseph drove from place B to place A at an average speed of 60 km/h using
the same route. If the distance between A and B were 300 km, what is the distance
between Steven and Joseph after one and one half hours?
5.An owner jeep traveling at an average speed of 70 km/h left the town at 2:00 pm
If it arrived in another town at 6:00 p.m., how far are the two towns?
Answer:
1. 10 km
2.280 km
please mark my answer as brainliest answer.
the answer is surely correct
solve for surface area
formula for cube:
SA = 2 (s times s) + (4s) ( H)
Solve for y.
r/3-2/y=s/5
Answer:
y = 2 / (r/3 - s/5)
Step-by-step explanation:
r/3 - 2/y = s/5
add 2/y to both sides
r/3 = s/5 + 2/y
Subtract s/5 from both sides
r/3 - s/5 = 2/y
multiply both sides by y
y(r/3 - s/5) = 2
Divide both sides by r/3 - s/5
y = 2 / (r/3 - s/5)
DJ Kenisha is making a playlist for a radio show; she is trying to decide what 6 songs to play and in what order they should be played. If she has her choices narrowed down to 5 reggae, 15 hip-hop, and 13 blues songs, and she wants to play an equal number of reggae, hip-hop, and blues songs, how many different playlists are possible? Express your answer in scientific notation rounding to the hundredths place.
Answer:
[tex]8.19 \times 10^{4}[/tex] different playlists are possible
Step-by-step explanation:
The order in which the songs are played is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
6 songs, so 2 reggae(from a set of 5), 2 hip hop(from a set of 15) and 2 blues(from a set of 13). So
[tex]T = C_{5,2}C_{15,2}C_{13,2} = \frac{5!}{2!3!} \times \frac{15!}{2!13!} \times \frac{13!}{2!11!} = 10*105*78 = 81900[/tex]
In scientific notations:
4 digits after the first, which is 8, so:
[tex]8.19 \times 10^{4}[/tex] different playlists are possible
Solve the system of equations.
y = 3x
y = x2 - 10
A. (2,6) and (5, 15)
B. (2,6) and (-5, -15)
C. (-2,-6) and (-5, -15)
D. (-2,-6) and (5, 15)
Answer:
D. (-2, -6) and (5,15)
Step-by-step explanation:
When you set the equations together, you get x^2-3x-10. You then set this equation equal to zero and get (x-5)(x+2) or x=-2 and x=5. Then, plug these x-values into each equation to get your y-values.
simpify 20/[(5-{24/2-(7-5of3)}]
Answer:
Why do we need an order of operations?
Example: In a room there are 2 teacher's chairs and 3 tables each with 4 chairs for the students. How many chairs are in the room?
We know there are 14, but how do we write this calculation? If we just write
2 + 3 x 4
how does a reader know whether the answer is
2 + 3 = 5, then multiply by 4 to get 20 or
3 x 4 = 12, then 2 + 12 to get 14?
There are two steps needed to find the answer; addition and multiplication. Without an agreed upon order of when we perform each of these operations to calculate a written expression, we could get two different answers. If we want to all get the same "correct" answer when we only have the written expression to guide us, it is important that we all interpret the expression the same way.
One way of explaining the order is to use brackets. This always works. To say that the 3 x 4 is done before the adding, we would use brackets like this:
2 + (3 x 4)
The brackets show us that 3 x 4 needs to be worked out first and then added to 2. However, we can also agree on an order of operations, which is explained below.
Another example: Calculate 15- 10 ÷ 5
If you do the subtraction first, you will get 1. If you do the division first, which is actually correct according to the rules explained below, you will get 13. We need an agreed order.
Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 181000 dollars. Assume the standard deviation is 31000 dollars. Suppose you take a simple random sample of 60 graduates.
Find the probability that a single randomly selected policy has a mean value between 172595.6 and 196608.1 dollars.
P(172595.6 < X < 196608.1) =
(Enter your answers as numbers accurate to 4 decimal places.)
Find the probability that a random sample of size
n
=
60
has a mean value between 172595.6 and 196608.1 dollars.
P(172595.6 < M < 196608.1) =
(Enter your answers as numbers accurate to 4 decimal places.)
Answer:
0.2979 = 29.79 probability that a single randomly selected policy has a mean value between 172595.6 and 196608.1 dollars.
0.982 = 98.2% probability that a random sample of size 60 has a mean value between 172595.6 and 196608.1 dollars.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 181000 dollars. Assume the standard deviation is 31000 dollars.
This means that [tex]\mu = 181000, \sigma = 31000[/tex]
Find the probability that a single randomly selected policy has a mean value between 172595.6 and 196608.1 dollars.
This is the p-value of Z when X = 196608.1 subtracted by the p-value of Z when X = 172595.6. So
X = 196608.1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{196608.1 - 181000}{31000}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a p-value of 0.6915
X = 172595.6
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{172595.6 - 181000}{31000}[/tex]
[tex]Z = -0.27[/tex]
[tex]Z = -0.27[/tex] has a p-value of 0.3936
0.6915 - 0.3936 = 0.2979
0.2979 = 29.79 probability that a single randomly selected policy has a mean value between 172595.6 and 196608.1 dollars.
Sample of 60:
This means that [tex]n = 60, s = \frac{31000}{\sqrt{60}}[/tex]
Now, the probability is given by:
X = 196608.1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{196608.1 - 181000}{\frac{31000}{\sqrt{60}}}[/tex]
[tex]Z = 3.9[/tex]
[tex]Z = 3.9[/tex] has a p-value of 0.9999
X = 172595.6
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{172595.6 - 181000}{\frac{31000}{\sqrt{60}}}[/tex]
[tex]Z = -2.1[/tex]
[tex]Z = -2.1[/tex] has a p-value of 0.0179
0.9999 - 0.0179 = 0.982
0.982 = 98.2% probability that a random sample of size 60 has a mean value between 172595.6 and 196608.1 dollars.
Find the difference quotient of f; that is, find f(x+h)-f(x) , h ≠ 0 for the following function
f (x)=6x+8
f(x+h)-f (x)/h =
Gasoline sells for 1.3 euros per liter. What is the price in US dollars per gallon? (recall that 1 gal = 3.785 L)
British pound is 1.212 to 0.8251 USD
4.67 $/gal is the price of gasoline.
Step-by-step explanation:
Given:
Price of gasoline = 1.3 €/L
1 gallon is equals to 3.785 Liters
1 euros is equals to 0.9497 US dollars
To find:
The price of gasoline in US dollars per gallon
Solution:
Price of the gasoline = 1.3 €/L
[tex]1 gal = 3.785 L\\1L=\frac{1}{3.785} gal\\ 1.3 euro /L=\frac{1.3 euro }{\frac{1}{3.785 }gal}\\=\frac{1.3 euro \times 3.785 }{1 gal}=4.9205 euro /gal[/tex]
Now convert euros to US dollars by using :
1 euros = 0.9497 $
The price of gasoline in US dollar per gallons:
[tex]4.9205 euro/gal=4.9205 \times 0.9497 \$/gal\\=4.6730 \$/gal\approx 4.67 \$/gal[/tex]
4.67 $/gal is the price of gasoline.
Learn more about conversions:
brainly.com/question/13076223
brainly.com/question/2904463?referrer=searchResults
Find an equation for the line parallel to 3x-5y=2 with y-intercept (0,1/5). Write the answer in slope-intercept form.
Gỉaỉ pt
2x^2×(2x^2+3)=2-x^2 ai giải giúp vs
2x²×(2x²+3)=2-x²
[tex]x = \frac{1}{2} , - \frac{1}{2} ,i \sqrt{2} , - i \sqrt{2} [/tex]
I have $25 all in nickels and dimes. There are twice as many Nickles as dimes. How many of each are there?
I need to show an equation that gives me the answer
Answer:
N=250
Step-by-step explanation:
"twice as many nickels as dimes" means N =2D [eq1]
"collection of nickels and dimes is worth $25" means
5N + 10D = 2500 [eq2]
(To avoid using decimal points, PLZ express everything in cents.)
Substitution (substitute N from eq1 into eq2]:
5(2D) + 10D = 2500
10D + 10D = 2500
20D = 2500
D = 125
N=2D [eq1 again]
N=2(125)
N=250
Check:
Is 5(250) + 10(125) = 2500 ?
1250 + 1250 = 2500 ?
2500 = 2500 ?yes
Which of the following equations is NOT an example of inverse variation?
I. f(x)=kx
II. f(x)=2kx
f
(
x
)
=
2
k
x
III. f(x)=−kxz
Based on the equation,the equation which is not an inverse variation is f(x) = kx
Inverse variationf(x) = kx
= k × x
f(x) = 2k/x
= k(2/x)
f(x) = -kx/z
= k(-x/z)
Inverse variation is given by:
y = k(1/x)
where,
k = constant of proportionalityTherefore, f(x) = kx is not an inverse variation.
Learn more about inverse variation:
https://brainly.com/question/13998680
#SPJ1
