On a rainy day, two students begin tracking the accumulated amount of rainfall each
hour. They each write a function, R(h), that they think can be used to track the
amount of rainfall after h hours.
Use the drop-down menus to explain why each function does or does not represent
the amount of rainfall after h hours.

Answer:

The answer is (3/4)100=75

Hope this helps!

Mark me brainliest if I'm right :)

The probability that exactly 2 out of 20 registered voters voted in a local election is 0.382, or about 38.2%.

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

This is a binomial probability problem, where we have a fixed number of trials (n=20) and each trial is either a success (voted in a local election) or a failure (did not vote in a local election).

The probability of success for each trial is p=0.18 (since the typical voter turnout is 18%). We want to find the probability of exactly 2 successes in 20 trials.

We can use the binomial probability formula to solve this problem:

\(P(X = k) = (n choose k) * p^k * (1-p)^{n-k}\)

where X is the random variable representing the number of successes (voters who voted in a local election), k is the number of successes we're interested in (k=2), n is the total number of trials (n=20), p is the probability of success (p=0.18), and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials and is calculated as:

(n choose k) = n! / (k! * (n-k)!)

Plugging in the values, we get:

\(P(X = 2) = (20 choose 2) * 0.18^{2} * (1-0.18)^{20-2}\)

= (190) * 0.0324 * 0.8222

= 0.382

Therefore, the probability that exactly 2 out of 20 registered voters voted in a local election is 0.382, or about 38.2%.

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The median age may have risen because older people's numbers grew more quickly than those of children.

Undoubtedly, there's a chance that fewer kids were born in 1991 than in 1980. According to the data provided, the median age rose between 1980 and 1991, indicating that there were comparatively more elderly individuals in 1991 than there were in 1980. It is important to note that this does not inherently imply that there were less kids in 1991 than there were in 1980. The number of children may have stayed the same or even grown, but the median age may have risen because older people's numbers grew more quickly than those of children.

It is important to note that this does not inherently imply that there were less kids in 1991 than there were in 1980. The number of children may have stayed the same or even grown.

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Answer:

x = 5   z = 94

Step-by-step explanation:

12x + 26 = 86

12x = 60

x = 5

360 - 172 = 188

z = 188 : 2 = 94

The 95% confidence interval estimate for the population mean, given the values X = 320, σ = 70, and n = 228, is from 313.14 to 326.86.

To calculate the confidence interval, we use the formula:

CI = X ± (Z * σ/√n)

where X is the sample mean, Z is the Z-score corresponding to the desired confidence level (in this case, 95% corresponds to a Z-score of 1.96), σ is the population standard deviation, and n is the sample size.

Plugging in the values, we have:

CI = 320 ± (1.96 * 70/√228)

Calculating this expression, we find that the lower bound of the confidence interval is 313.14 and the upper bound is 326.86.

This means that we can be 95% confident that the true population mean falls within this interval. In other words, if we were to take multiple samples and construct confidence intervals using the same method, approximately 95% of those intervals would capture the true population means.

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Therefore, the standard deviation of the data set is approximately 4.14.

The standard deviation is calculated by taking the square root of the variance, which is the sum of the squared deviations divided by the sample size minus 1.

So, first we need to calculate the variance:

variance = sum of squared deviations / (sample size - 1)

variance = 103 / (7 - 1)

variance = 17.17

Now we can find the standard deviation:

standard deviation = √(variance)

standard deviation = √(17.17)

standard deviation = 4.14 (rounded to two decimal places)

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The compound inequality to find the range of scores she can make on her final exam to receive a C will be 44.5 ≥ x ≥ 71.5

Based on the information, the inequality will be:

70 ≥ (73 + 83 + 85 + 90 + 2x) / 6 ≥ 79

70 ≥ (331 + 2x) / 6 ≥ 79

420 ≥ 331 + 2x ≥ 474

89 ≥ 2x ≥ 143

44.5 ≥ x ≥ 71.5

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Alaina has scores of 73,83,85,90 on her math tests. Use a compound inequality to find the range of scores she can make on her final exam to receive a C in the course. The final exam counts as two tests, and a C is received if the final course average is from 70 to 79

Answer:

4.24

Step-by-step explanation:

3.64 + 3/5

3.64 + 0.6 <--- 3/5 = 0.6 as a decimal

= 4.24 <--- Final answer

Answer:

Sue travels for 3 hours and a half

Sue stays stationary for 2 hours and a half

Step-by-step explanation:

Everytime the curve climbs, it means Sue is travelling. Everytime the curve stays flat, it means Sue is stays stationary. It remains to count up the total for both categories, with one square being 30 minutes.

Sue spends 3.5 hours on travelling and 2.5 hours stationary.

It is a graph which shows how far an object has travelled in a given time.

It is graph of function which represents there is no change in the function value or the function value is constant.

"subtract old value from new value."

For given example,

Given distance-time graph represents a journey made by Sue.

Let 't' represents the travelling time and 's' represents the stationary time.

If we observe the graph,

from 2 pm to 3 pm Sue travelled 5 miles

⇒ t1 = 3 - 2

⇒ t1 = 1 hour

from 3.5 pm to 4 pm she travelled 10 miles

⇒ t2 = 4 - 3.5

⇒ t2 = 0.5 hour

from 5 pm to 6.5 pm she travelled 15 miles

⇒ t3 = 6.5 - 5

⇒ t3 = 1.5 hours

from 7.5 pm to 8 pm she travelled 5 miles

⇒ t4 = 8 - 7.5

⇒ t4 = 0.5 hour

So, the total travelling time would be,

⇒ t = t1 + t2 + t3 + t4

⇒ t = 1 + 0.5 + 1.5 + 0.5

⇒ t = 3.5 hours

Also, Sue spends stationary from 3 pm to 3.5 pm

⇒ s1 = 3.5 - 3

⇒ s1 = 0.5 hour

She spends stationary from 4 pm to 5  pm

⇒ s2 = 5 - 4

⇒ s2 = 1 hour

She spends stationary from 6.5 pm to 7.5 pm

⇒ s3 = 7.5 - 6.5

⇒ s3 = 1 hour

So, the total stationary time would be,

⇒ s = s1 + s2 + s3

⇒ s = 0.5 + 1 + 1

⇒ s = 2.5 hours

Therefore, Sue spends 3.5 hours on travelling and 2.5 hours stationary.

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Answer:

2

Step-by-step explanation:

because i am big brain

Answer:

a=√2, c=4√3

Step-by-step explanation:

Recall that in a 45-45-90 triangle, the side lengths are the same but the hypotenuse is the side length times the square root of 2. Therefore, a=2/√2=√2.

Recall that in a 30-60-90 triangle, the shorter side length is x, the longer side is x√3, and the hypotenuse is 2x. Therefore, c=4√3

Answer:

\(Density = 1.1546\ kg/pint\)

Step-by-step explanation:

Given

\(Mass = 7\ lb\)

\(Cups = 5.5\)

Required

Determine the density in Kg/Pint

Density is calculated as thus:

\(Density = \frac{Mass}{Volume}\)

\(Density = \frac{7\ lb}{5.5\ cups}\)

Convert pound to kg

\(Density = \frac{7/ 2.205\ kg}{5.5\ cups}\)

\(Density = \frac{3.17515\ kg}{5.5\ cups}\)

Convert cups to pint

\(Density = \frac{3.17515\ kg}{5.5/2\ pint}\)

\(Density = \frac{3.17515\ kg}{2.75\ pint}\)

\(Density = 1.1546\ kg/pint\)

Answer:

 (-7/9)^4 = 2401/6561

Step-by-step explanation:

The rules of exponents apply.

  (a^b)/(a^c) = a^(b-c) . . . . . quotient rule

  (a^b)^c = a^(bc) . . . . . . . . power rule

__

The first rule of exponents shown above helps us find the value of a/b.

  \(\dfrac{a}{b}=\dfrac{\left(\dfrac{-7}{9}\right)^8}{\left(\dfrac{-7}{9}\right)^6}=\left(\dfrac{-7}{9}\right)^{8-6}=\left(\dfrac{-7}{9}\right)^2\)

The second rule of exponents shown above tells us how to find the square.

  \(\left(\dfrac{a}{b}\right)^2=\left(\left(\dfrac{-7}{9}\right)^2\right)^2=\left(\dfrac{-7}{9}\right)^{2\times2}\\\\\boxed{\left(\dfrac{a}{b}\right)^2=\left(\dfrac{-7}{9}\right)^4=\dfrac{2401}{6561}}\)

_____

Additional comment

Since -7 is always to an even power in these expressions, its sign can be ignored. The product of an even number of negative values is positive.

Answer:

Step-by-step explanation:

To calculate the time it will take a car to travel 140km at an average speed of 35km/h, we can use the formula:

time = distance ÷ speed

Plugging in the given values, we get:

time = 140km ÷ 35km/h

time = 4 hours

Therefore, it will take a car 4 hours to travel 140km at an average speed of 35km/h.

Answer:

ㅤ

Car will take 4 hours

ㅤ

Step-by-step explanation:

ㅤ

\(\large{\blue{\star} \: {\underline{\boxed{\pmb{\tt{Time = \dfrac{Distance}{Speed}}}}}}}\)

ㅤ

\(\large{\leadsto{\sf{Given_{(Distance)} = 140 \: km}}}\)

ㅤ

\(\large{\leadsto{\sf{Given_{(Speed)} = 35 \: km/hr}}}\)

ㅤ

\(\large{\underline{\underline{\sf{Applying \: Formula:-}}}}\)

ㅤ

\(\large{\leadsto{\sf{Required_{(Time)} = \bigg(\dfrac{\cancel{140}}{\cancel{35}}\bigg)} \: hr}}\)

ㅤ

\(\large{\purple{\boxed{\leadsto{\sf{Required_{(Time)} = 4 \: hr}}}}}\)

ㅤ

━━━━━━━━━━━━━━━━━━━━━━

\(\star \: {\large{\underline{\underline{\pink{\mathfrak{More:-}}}}}} \: \star\)

ㅤ

\(\large{\dashrightarrow{\sf{Time = \dfrac{Distance}{Speed}}}}\)

ㅤ

\(\large{\dashrightarrow{\sf{Speed = \dfrac{Distance}{Time}}}}\)

ㅤ

\(\large{\dashrightarrow{\sf{Distance = Speed \times Time}}}\)

Answer:

yes

Step-by-step explanation:

Using the concept of ratio and proportion, the vendor sold 56 cups of hot cider.

The word "proportion" often denotes a portion, share, or sum that is in comparison to a whole. Two ratios are in proportion when they are equal, according to the proportional idea. When an equation or a statement to that effect is used, two ratios or fractions are equal.

A percentage is a mathematical comparison of two numbers. In terms of proportion, two sets of given numbers are said to rise or decrease in the same ratio if they are directly proportionate to one another.

Cider supplied by the street seller for value = x for 35

= x/35

The cider's ratio is 8:5,

x/35 :: 8:5,

x = [35(8)]/ 5

=56.

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Answer:

156 for the first, 14 for the second

Step-by-step explanation:

x = -5 y=4

Plug in (first equation)

(4(4))^2 - (2(-5))^2

(16)^2 - (-10)^2

256-100

156

Second Equation

4y^2-2x^2

Plug in

4(4)^2 - 2(-5)^2

4(16) - 2(25)

64-50

14

Parenthesis make a huge difference

Hope this helps =D

Answer:

Angle 2

Step-by-step explanation:

They are 90 degrees when added together

Answer:

<2

Step-by-step explanation:

Complementary angles add to 90 degrees ( form right angles)

<1 and <2 add to 90 degrees so they are complementary angles

a) The circle crosses the y-axis at the points (0, 6) and (0, -2). b) the radius of the circle is 5. c) (i) The length of CP is √34. (ii) The length of PQ is 10.

(a) To find the y-coordinates of the points where the circle crosses the y-axis, we substitute x = 0 into the equation of the circle:

0² + y² + 6(0) - 4y = 12

y² - 4y = 12

y² - 4y - 12 = 0

To solve this quadratic equation, we can factor it:

(y - 6)(y + 2) = 0

Setting each factor to zero, we find two possible values for y:

y - 6 = 0 => y = 6

y + 2 = 0 => y = -2

Therefore, the circle crosses the y-axis at the points (0, 6) and (0, -2).

(b) To find the radius of the circle, we can complete the square to rewrite the equation of the circle in standard form:

x² + y² + 6x - 4y = 12

(x² + 6x) + (y² - 4y) = 12

(x² + 6x + 9) + (y² - 4y + 4) = 12 + 9 + 4

(x + 3)² + (y - 2)² = 25

Comparing this equation with the standard form of a circle, (x - h)² + (y - k)² = r², we can see that the center of the circle is at (-3, 2) and the radius is √25 = 5.

Therefore, the radius of the circle is 5.

(c) (i) To find the length of CP, we can use the distance formula between two points. The coordinates of C are (-3, 2), and the coordinates of P are (2, 5).

The distance formula is given by:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Substituting the coordinates into the formula, we have:

CP = √((2 - (-3))² + (5 - 2)²)

= √(5² + 3²)

= √(25 + 9)

= √34

Therefore, the length of CP is √34.

(ii) To find the length of PQ, we can use the fact that PQ is a tangent to the circle. The radius of the circle is 5, and the line segment CP is perpendicular to PQ.

Since CP is perpendicular to PQ, CP is the radius of the circle. Therefore, CP = 5.

Therefore, the length of PQ is equal to 2 times the length of CP:

PQ = 2 * CP

= 2 * 5

= 10

Therefore, the length of PQ is 10.

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Answer:

The first jug has 0.8 litres after it is poured into the second jug it would be equivalent to 800 mililitres

Step-by-step explanation:

= 3+3x-1+3x^4 , g(x) = -x^3+x^2-x+2-x^4. tính f(x)+g(x) và f(x) -g(x)

Answer:

4

Step-by-step explanation:

the answer is 4

I hope this is the answer

Answer:

4

Step-by-step explanation:

\( \\ \sf \frac{ \sqrt{64} }{ \sqrt{4} } \)

\( \\ \sf = \frac{ \sqrt{8 \times 8} }{ \sqrt{2 \times 2} } \)

\( \\ \sf = \frac{8}{2} \)

\( \\ \sf = 4\)

The mean amount of snow per day is equal to 19 cm snow per day.

In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:

Mean = [F(x)]/n

For the total amount of snow based on the frequency, we have;

Total amount of snow (s cm), F(x) = 5(8) + 15(10) + 25(7) + 35(2) + 45(3)

Total amount of snow (s cm), F(x) = 40 + 150 + 175 + 70 + 135

Total amount of snow (s cm), F(x) = 570

Now, we can calculate the mean amount of snow as follows;

Mean = 570/30

Mean = 19 cm snow per day.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Using the normal distribution, we know that the likelihood of a lizard living longer than 2.5 years is 16%.

The normal distribution is the correct name for a probability bell curve alone.

A normal distribution has a mean of zero and a standard deviation of one. Its kurtosis is 3, and its skew is 0.

Not all normal distributions are symmetrical, despite the fact that all symmetrical distributions are normal.

So, a lizard's average lifespan is 3.1 years, with a 0.6-year standard deviation.

Lizard u = 3.1 on average.

0.6 is the standard deviation.

To determine the probability that a lizard would live longer than 2.5 years:

p(X<2.5)

μ + aσ = 2.5

3.1 + a(0.6) = 2.5

a(0.6) = −0.6

a = −1

Use the empirical rule to calculate the probability.

100% of the total area (since total probability always is 1)

The area from p(X > p) = 50% from to area between () and (+) equals 68%.

Area between (μ−σ) and μ is p((μ−σ) < X < μ) =34%

Hence,

p(X< (μ−σ)) = 1 − (p((μ−σ) < X < μ) + p(X > μ))

p(X< (μ−σ)) = 1 − (0.34 + 0.5)

p(X< (μ−σ)) = 0.16  

Therefore, using the normal distribution, we know that the likelihood of a lizard living longer than 2.5 years is 16%.

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Analysis of Variance (ANOVA) is a statistical technique used to analyze the variance in a dataset and determine whether there are significant differences between the means of two or more groups.

It is used to test the effect of multiple independent variables on a single dependent variable. The statement is true.

ANOVA can be used to compare the means of different groups or treatments, to determine if there are any significant differences between them. This technique is commonly used in experimental studies to determine the effects of different levels of an independent variable on the dependent variable.

In summary, ANOVA is a powerful statistical tool used to analyze the effects of multiple independent variables on a dependent variable. It helps to determine if there are significant differences between the means of two or more groups and is commonly used in experimental studies.

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The first digit of the quotient (8) should be placed in the tens decimal place, as he is currently dividing the number 62 by 7.To find out where Kiran should place the first digit of the quotient (8), we need to understand the process of long division. Correct option is B .

When performing long division, we divide the dividend (771625 in this case) by the divisor (62 in this case) to get the quotient. We start from the leftmost digit of the dividend and perform the division operation one digit at a time.

In this case, Kiran starts by dividing 62 by 7. The result is 8 with a remainder of 6. Kiran then brings down the next digit of the dividend, which is 7, and adds it to the remainder to get 67. He then repeats the division process by dividing 67 by 7, which results in 9 with a remainder of 4.

Kiran will continue this process until he has gone through all the digits of the dividend. Therefore, the first digit of the quotient (8) should be placed in the tens decimal place, as he is currently dividing the number 62 by 7.

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Answer:

yes

Step-by-step explanation:

bc Quick maths

Answer:

r=-8

Step-by-step explanation: