Answer:
1/5
Step-by-step explanation:
8/40 are year 7 classes.
1/5 are year 7.
Answer:
1/5
Step-by-step explanation:
Total= 40
Year 7 = 8
Fraction= 8/40= 1/5
What is the answer to this question
Los números que hace verdadera a una ecuación se les denomina
The variance of a sample of 196 observations equals 784. find the standard deviation of the sample. 14
The standard deviation of the sample = 28.
Defining standard deviation:An indicator of how much a set of values vary or are dispersed is the standard deviation. When the standard deviation is low, the values tend to fall within a narrow range of the set's mean, while when it is high, the values tend to deviate from that mean more.
Does a high standard deviation make sense?The standard deviation is a tool for calculating market volatility or the variation in asset prices from their mean. A high standard deviation indicates that prices are moving erratically and that an investment will indeed be risky. Low standard deviation indicates stable prices and low risk for investments.
According to the given data:A specimen of 196 observations has a variance of 784. determine the sample's standard deviation.
variance = 784
we have to find the stranded deviation:
stranded deviation = √variance
= √784
= 28
The standard deviation of the sample = 28.
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Use the quadratic formula to find the solutions to the quadratic equation
below.
x-5x-4 = 0
O A. x =
O
-5+√41
2
B. x = 5±√41
O c. x =
C.
-5+√/29
D. x = 5√2
On solving the provided question we cans say that quadratic equation - x^2-5x-4 = 0 and x = 1 , 3
What is quadratic equation?A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.
here, we have
quadratic equation -
x^2-5x-4 = 0
x(x-1) -3(x-3) =
(x-1)(x-3) = 0
x = 1 , 3
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structures with closely packed planes allow more plastic deformation than those that are not closely packed.
The statement is generally true.
Why the given statement is true?In materials science, the close-packing of atoms in crystal structures can affect the mechanical properties of the material, such as its ductility and ability to undergo plastic deformation.
In general, structures with closely packed planes (i.e., structures with a higher atomic packing factor) are more likely to undergo plastic deformation because the closely packed planes allow for more slip planes for atoms to move along without disrupting the overall crystal structure.
This means that when a force is applied to the material, the planes can slide more easily past one another, leading to plastic deformation.
In contrast, structures that are not closely packed (i.e., structures with a lower atomic packing factor) have fewer slip planes and are less likely to undergo plastic deformation. Instead, they may experience brittle fracture or other types of failure when subjected to stress.
However, it is important to note that the relationship between atomic packing and plastic deformation is complex and depends on a variety of factors, including the type of crystal structure, the presence of defects or impurities in the material, and the conditions under which the material is being deformed.
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If there are:
6 red marbles
10 yellow marbles
5 green marbles
and 1 blue marble What is the probability of picking 1 blue marble and 1 green marble?
(Once a marble is chosen it is NOT put back into the box).
(Write your answer in the form of a decimal, round to 2 places).
Answer:
total number of marble=22
probability of picking 1 blue marble= 1/22
=45×10^-2
probability of getting a green ball= 5/21
= 238×10^-3
algebra 1 please help
Jim, a part-time gardener, earned $261 in a week. If he worked 12 hours during normal working hours and 4 hours overtime at time and a half, what was his hourly rate of pay?
Answer:
14.55 :)
Step-by-step explanation:
who want points and brainlist just answer quick............
Answer:
last answer
Step-by-step explanation:
( (-2) ^-3) ^2 Simplify and evaluate where necessary
Answer:
the exactly form i believe would be 1/64
and the decimal form would be 0.015625
Assume that the length of Earth's equator is exactly 25,100 miles and that the Earth is a perfect sphere. The town of Lena, Wisconsin, is at $45^{\circ}$ North Latitude, exactly halfway between the equator and the North Pole. What is the number of miles in the circumference of the circle on Earth parallel to the equator and through Lena, Wisconsin
The number of miles in the circumference of the circle on Earth parallel to the equator and passing through Lena, Wisconsin, is approximately 17,747.07 miles.
To calculate the circumference of the circle on Earth parallel to the equator and passing through Lena, Wisconsin, we need to determine the length of the circle's circumference at the given latitude.
Given:
Length of the Earth's equator = 25,100 miles
Latitude of Lena, Wisconsin = 45 degrees north
The circumference of a circle at a given latitude on a perfect sphere can be calculated using the formula:
Circumference = (Cos(latitude) * Earth's equator circumference)
First, we need to convert the latitude from degrees to radians:
Latitude in radians = 45 degrees * (π / 180)
Latitude in radians = π/4
Next, we can substitute the latitude in radians into the formula to calculate the circumference:
Circumference = (Cos(π/4) * 25,100 miles)
Using the value of the cosine of π/4 (which is √2 / 2), we have:
Circumference = (√2 / 2) * 25,100 miles
Simplifying:
Circumference ≈ 0.707 * 25,100 miles
Circumference ≈ 17,747.07 miles
Therefore, the number of miles in the circumference of the circle on Earth parallel to the equator and passing through Lena, Wisconsin, is approximately 17,747.07 miles.
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Find the value of each natural logarithm in the complex number system. In (-4) in - 1.386 ob i21 + 1.386 oc ir + 1.386 Od 1.386
The value of natural logarithm of the given complex number is ln(-1.386 ob i21 + 1.386 oc ir + 1.386 Od 1.386) = ln(2.4) + i(54.74°).
The value of natural logarithm of -4 in the complex number system can be found by expressing -4 in polar form. We can write -4 as 4cis(π), where cis(π) is the complex number cos(π) + i sin(π). Now, applying the properties of logarithms, we can write:
ln(-4) = ln(4) + ln(cis(π)) = ln(4) + iπ
Therefore, the value of natural logarithm of -4 in the complex number system is ln(-4) = ln(4) + iπ.
It is important to note that the natural logarithm is not defined for negative real numbers, as it is a real-valued function. However, in the complex number system, we can still define the logarithm for all non-zero complex numbers.
In the given expression, we have -1.386 ob i21 + 1.386 oc ir + 1.386 Od 1.386. To find the value of natural logarithm of this complex number, we need to first express it in polar form. Using the Pythagorean theorem, we can find the magnitude of the complex number to be approximately 2.4. To find the angle, we can use the inverse tangent function, which gives us an angle of approximately 54.74 degrees.
Therefore, the complex number can be expressed as 2.4cis(54.74°). Now, using the properties of logarithms, we can write:
ln(-1.386 ob i21 + 1.386 oc ir + 1.386 Od 1.386) = ln(2.4) + ln(cis(54.74°)) = ln(2.4) + i(54.74°)
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Geoff goes to the shop and buys a packet of crisps for 25p, a can of soup
for 68p and a watermelon for £1.47. He pays with a £5 note. How much
change does he get? Give your answer in pounds (£).
CRISPS
Salt & Vinegar
25p
SOUP
68p
£1.47
Answer:
Step-by-step explanation:
Geoff is feeling peckish, so he decides to pop into the shop and grab some snacks. He picks up a packet of crisps for 25p, a can of soup for 68p and a watermelon for £1.47. He wonders why the watermelon is so cheap, but he doesn't question it. He goes to the cashier and hands over a £5 note. The customer behind Geoff wonders "how much change does he get back?"
To figure this out, we need to add up the price of the snacks and take it away from the money Geoff gave. We can use a dot to show the pence as parts of a pound. For example, 25p = 0.25 pounds.
The price of the snacks is:
0.25 + 0.68 + 1.47 = 2.40 pounds
The money Geoff gave is:
5.00 pounds
The change is:
5.00 - 2.40 = 2.60 pounds
So, Geoff gets £2.60 in change and a bargain watermelon.
Answer:
Answer:
2.60
Step-by-step explanation:
25+68+147=240
500-240=260
turn into pounds 2.60
Step-by-step explanation:
what theorem can be used to find segment lengths in a triangle with a segment drawn parallel to a side of the triangle?
The midsegment linking the cartesian coordinates of two of a triangle's sides is parallel to the fourth aspect of the triangle, and its length is half that of the third side, according to the midsegment theorem.
Whence came the triangle?The assertions that the Greek mathematician Pythagoras discovered the properties of right-angled triangles in the fifth century BC just did not match up, according to many. Some people think following commentary shows it was a joint effort among his disciples, the Pythagoreans.
Which four primary triangles are there?Equilateral: equal angles and all three sides. Acute isosceles: two identical sides and angles, both of which are only about 90 degrees. Acute scalene has irregular sides and angles, all of which are under 90 degrees. Obtuse isosceles: two identical sides and angles, one of which is more than 90 degrees.
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Eighteen freshwater mussels were randomly assigned to three groups of six each. One group was placed in water from the river where the mussels were collected, one group was placed in deionized water, and one group was placed in a solution of sodium sulfate. At the end of a specified time period, blood was collected from each mussel and potassium levels were determined. Did the treatments affect blood potassium levels
The effect of treatments on blood potassium levels in freshwater mussels was evaluated using appropriate statistical analysis (e.g., ANOVA or Kruskal-Wallis test) on the data collected from three randomly assigned groups, allowing for the determination of significant differences among treatment groups.
Conduct the statistical analysis: Perform the chosen statistical test using the collected data. The analysis will calculate a test statistic and associated p-value, which quantifies the strength of evidence against the null hypothesis.
Determine the significance level: Set a significance level (e.g., α = 0.05) to determine the threshold for statistical significance. This represents the level of evidence required to reject the null hypothesis.
Evaluate the results: Compare the obtained p-value to the significance level. If the p-value is less than the chosen significance level, there is sufficient evidence to reject the null hypothesis and conclude that the treatments have an effect on blood potassium levels in freshwater mussels. Conversely, if the p-value is greater than the significance level, there is insufficient evidence to reject the null hypothesis, and it cannot be concluded that the treatments have an effect on blood potassium levels.
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What is the domain of g?
Answer:
Solution. The domain of g(x) consists of all real numbers except x = 32, since that input value would cause us to divide by 0. Likewise, the domain of f consists of all real numbers except 1. So we need to exclude from the domain of g(x) that value of x for which g(x) = 1.
Step-by-step explanation:
The value of an autographed baseball card increased from $39 to $65.
What is the percent increase in value of the baseball card?
How many people will 12 cups of dry rice serve?
Answer:
it would serve 36 people dry rice
5( x + 9)
What is the answer to that
Answer:
5x + 45
Step-by-step explanation:
distribute 5 to both x and 9 so multiply them both
please help asap !!
Solve the system of equations 2x + 3y = 40 and -2x + 2y = 20 A.x = 10 , y = 20 B. x=-10 , y = 20 C. x = -6 , y = 4 D. x = 2 , y = 12
Answer:
D is answer
Step-by-step explanation:
-2x + 2y = 20
2x = 40-3y
so -(40-3y)+2y =20
-40+3y+2y = 20
5y = 60
y = 12
2x = 40-3y
2x = 40-3(12)
2x = 40-36
2x = 4
x = 2
so x = 2 , y = 12
Please help me with this, i just need to solve "b". Ty!
Answer:
15
Step-by-step explanation:
To find the rate of change, find the slope
Slope= \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
\(=\frac{35-20}{2-1}\\\\=\frac{15}{1}\\\\=15\)
Part A
Which of the following expressions could be used to find
the volume of the sheet cake? Select all that apply.
Sheet cake has length of 12 in., height of 3 in. and width of 5 in.
A. 60 × 3
B. 12 + 5 + 3
C. 3 × 5 × 12
D. 12 × 5
E. (3 × 5) × 12
Part B
The baker adds another 1-inch-thick layer to the bottom of the sheet cake. The height of the sheet cake is now 4 inches. What is the volume of the sheet cake?
A. 200 in.3
B. 240 in.3
C. 180 in.3
D. 220 in.3
Answer:
Part A: option C
Part B: option B
Step-by-step explanation:
A population proportion is 0.30. A random sample of size 200 will be taken and the sample proportion will be used to estimate the population proportion. Use the z-table. Round your answers to four decimal places.
a. What is the probability that the sample proportion will be within of the population proportion?
b. What is the probability that the sample proportion will be within of the population proportion?
The probability that the sample proportion will be within 0.03 of the population proportion is 0.9002 and the probability that the sample proportion will be within 0.05 of the population proportion is 0.9993.
a. The probability that the sample proportion will be within 0.03 of the population proportion is 0.9002. The sample size is 200. The population proportion is 0.30. The standard error of the sample proportion is,
\(\sigma p = \sqrt{[p(1 - p)/n]}\)
\(= \sqrt{0.30(1 - 0.30)/200}\)
= 0.0351
The sample proportion is normally distributed because the sample size is large. The z-score for a sample proportion is calculated as,
\(z = (p - P) / \sigma p\)
\(= (p - P) / \sqrt{P(1 - P)/n}\)
Where, P is the true population proportion.
z = (0.30 - P) / 0.0351
Now, we can use the z-table to find the probability that the sample proportion will be within 0.03 of the population proportion.
z = ±0.03
=> 0.30 - P = ±0.001053
=> P = 0.298947 or 0.301053
The probability that the sample proportion will be within 0.03 of the population proportion is the sum of the probabilities of z between -0.8577 and 0.8577. Using the z-table, the probability is 0.9002. Hence, the probability that the sample proportion will be within 0.03 of the population proportion is 0.9002.
b. The probability that the sample proportion will be within 0.05 of the population proportion is 0.9993. The sample size is n = 200. The population proportion, p is 0.30. The standard error of the sample proportion is,
\(\sigma p = \sqrt{[p(1 - p)/n]}\)
\(= \sqrt{0.30(1 - 0.30)/200}\)
= 0.0351
The sample proportion is normally distributed because the sample size is large. The z-score for a sample proportion is calculated as,
z = (0.30 - P) / 0.0351
Now, we can use the z-table to find the probability that the sample proportion will be within 0.05 of the population proportion.
z = (0.30 - P) / 0.0351
= ±0.05
=> 0.30 - P = ±0.001755
=> P = 0.298245 or 0.301755
The probability that the sample proportion will be within 0.05 of the population proportion is the sum of the probabilities of z between -1.4286 and 1.4286. Using the z-table, the probability is 0.9993. Hence, the probability that the sample proportion will be within 0.05 of the population proportion is 0.9993.
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The populations of two towns, town A and town B, are being compared. The population of town A is 4×10^4 and the population of B is 2×10^5. How many times greater is the population of town B than town A?
Answer:
5 times
Step-by-step explanation:
Given that,
The population of town A is 4×10⁴
The population of town B is 2×10⁵
Let the population of town is B is x times of the town A. So,
\(A\times x=B\\\\x=\dfrac{B}{A}\\\\x=\dfrac{2\times 10^5}{4\times 10^4}\\\\x=5\)
It means that the population of town B is 5 times of the population of town A.
Answer:
5 times you heard the man
Step-by-step explanation:
Pls Help 100 points. JK, KL, and LJ are all tangent to circle O. JA = 14, AL= 12, and CK= 8. What is the perimeter of triangle JKL?
The perimeter of triangle JKL is determined as 68 units.
What is the perimeter of triangle JKL?The perimeter of triangle JKL is calculated as follows;
The perimeter of triangle JKL is the sum of all the distance round the triangle.
Perimeter = length JK + length LK + length JL
AL = CL = 12
Length LK = CL + CK = 12 + 8 = 20
JA = JB = 14
KB = CK = 8
Length JK = JB = KB = 14 + 8 = 22
Length JL = JA + AL = 14 + 12 = 26
The perimeter of triangle JKL is calculated as;
Perimeter = 20 + 22 + 26
Perimeter = 68 units.
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pls help lol uh
thanks if you do im very confused
Answer:
I think it is b
Step-by-step explanation:
Answer:
B
graph B represents 1/2#1/6
1/2#1/6=3
23) Evaluate the expression with its given values.
3x over y; x =4, y= 12
\(\large\text{Hey there!}\)
\(\large\boxed{\mathsf{\dfrac{3x}{y}}}\\\\\\\large\boxed{= \mathsf{\dfrac{3(\bold{4})}{\bf 12}}}\\\\\\\large\boxed{\mathsf{= \dfrac{\bold{12}}{12}}}\\\\\\\large\boxed{\mathsf{= 12\div12}}\\\\\\\large\boxed{\mathsf{= \bf 1}}\\\\\\\large\text{Therefore, your answer is: \huge\boxed{\mathsf{1}}}\huge\checkmark\)
\(\large\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
0.297 x 7.1 = 297 + 20790 / 21.087 is it true or false
Hey there!
0.297 * 7.1 = 297 + 20,790/21.087
Well….
0.297 * 7.1
= 2.1087
297 + 20,790/21.087
= 2.97 + 985.915493
= 1282.915493
2.1087 ≠ 1282.915493
Thus, your answer is false
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
what is the slope of (1,2) (-3,-9)
Step-by-step explanation:
Hey there!
The given points are; (1,2) and (-3,-9).
Use slope formula for finding the slope.
\(slope(m) = \frac{y2 - y1}{x2 - x1} \)
Put all values.
\(m = \frac{ - 9 - 2}{ - 3 - 1} \)
Simplify it.
\(m = \frac{ - 11}{ - 4} \)
Therefore, the slope is m= 11/4.
Hope it helps...
The diameter of a planet is about 25,660 mi. The diameter of the planet's moon is about 35% of the diameter of the planet. What percent of the volume of the planet is the volume of its moon?
The volume of the planet's moon is % of the volume of its planet.
(Round to the nearest whole number as needed.)
Answer:
4%
Step-by-step explanation:
Volume of sphere
v = (4/3)πr^3
Volume moon/ volume planet
We don't actually need the numeric value of the radius
just the 35% ratio
Radius of moon = .35 radius of planet
Vm/ Vp = (4/3)π(.35r)^3 / (4/3)π(r)^3
Cancel like terms
Vm / Vp = .35^3
Vm / Vp = 0.042875
Expressed as a percentage
Vm / Vp = 4.2875%
Rounded
Vm / Vp = 4%