Mathematics High School

I need a percentage, and 60 doesn't work. Please help!

Answers

Answer 1

The probability that you will wait for at most 5 seconds is 6.7%

How to determine the probability?

The given parameters are:

Green = 40

Yellow = 5

Red = 30

When you spend a maximum of 5 seconds, it means that you get to the traffic light at the yellow cycle.

The probability is then calculated as:

P(Yellow) = 5/(40 + 5 + 30)

Evaluate

P(Yellow) = 6.7%

Hence, the probability that you will wait for at most 5 seconds is 6.7%

Related Questions

Medical researchers have determined that for exercise to be beneficial, a personâ€™s desirable heart rate, r, in beats per minute, can be approximated by the formulas r = 143 minus 0.65 a for women r = 165 minus 0.75 a for men, where a represents the personâ€™s age. what would the desirable heart rate be for a 46 year old woman? a. 113 beats per minute b. 172.9 beats per minute c. 143.7 beats per minute d. 63 beats per minute

Answers

The desirable heart rate for a 46 year old women is 115.1

Expression means a number, a variable, or a combination of numbers and variables and operation symbols.

Given:

The medical researchers has found the desirable heart rate of the person through the following expression

For men the expression is

r = 165 - 0.75a

For women the expression is

r = 145 - 0.65a

Here r represents the heart rate and a represents the person's age.

Here we need to find the desirable heart rate of the 46 year old women

So, the value of a is 46,

Now we have to apply the value on the given expression in order to solve it,

So,

r = 145 - (0.65 x 46)

r = 145 - 29.9

r = 115.1

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Simplify the expression

Answers

Answer: 7c + 2

Step-by-step explanation:

Combine like terms hope this helps

3 Point M is located at (4, 6) on a coordinate grid. Point M is translated 8 units to the left and
9 units down to create point Mº.
Which measurement is closest to the distance between point M and point M in units?
A 4 units
B 17 units
C 9 units
D
12 units

Answers

The measurement that is closest to the distance between point M and point M in units is 12 units

Which measurement is closest to the distance between point M and point M in units?

From the question, we have the following parameters that can be used in our computation:

Point M is located at (4, 6) Point M is translated 8 units to the left and 9 units down

The distance between the points is the sqauare root of the sum of the squares of the translated uinits

So, we have

Distance = √(8^2 + 9^2)

Evaluate

Distance = 12 units (approx)

Hence, the distance is 12 units

Answers

Answer:

From A to B that is equal to C to D mark those sides with the same line m<A angle A is equal to m<D Angle D mark those with a half circle

Step-by-step explanation:

let me know if that helped

Factorise the following
$ {x}^{2} - 5x - 6$

Answers

Answer:

(x+1)(x-6)

Step-by-step explanation:

two number that times to make -6 and add to make-5

these are : -6 and +1

(x+1)(x-6)

when u expand it

x^2-6x+x-6

=x^2-5x-6

Rewrite 0.2'6 as a proper fraction (in the form of a over b)show all the steps

Answers

The expression 0.26 when written as a fraction in its lowest term is 13/50

How to rewrite the expression as a fraction

Based on the question, we have a set of values that can be used in our calculations.

Fraction = 0.26

As a general rule, a fraction can be expressed as a/b

Where

Upper part = Numerator = aLower part = Denominator = b

Using the above values as a guide, we have the following expression

Fraction = 0.26

Multiply the fraction by 1

Fraction = 0.26 * 1

Express 1 as 100/100

So, we have

Fraction = 0.26 * 100/100

Evaluate the product of 0.26 and 100

This gives

Fraction = 26/100

Reduce the quotient of 26 and 100 to the lowest terms by dividing by 2

Fraction = 13/50

Hence, the fraction of 0.26 is 13/50

Answers

Answer:

19 - (7 + k)

Step-by-step explanation:

Sum of 7 and k: (7 + k)Difference of 19 and (7 + k): 19 - (7 + k)

I hope this helps!

Question.1 [15 Marks] The following data relate to the age of 25 persons selected randomly from a market place. The data are arranged in order:
05,08,10,12,16,18,20,21,24,24,25,26,28,30,32,35,38,40,43,43,48,50,58,60, 72.
(a) Find the mode, median, first quartile, third quartile of the data set, and check for outliers.
(b) Find the data value corresponding to the 60 th percentile.
(c) Find the percentile rank of the age 40.
(d) Draw a boxplot for the data set.

Answers

(a) The mode, median, first quartile, and third quartile of the data set is 24, 24, 12, and 43, respectively. There are no outliers.

(b) The data value corresponding to the 60th percentile is 33.8.

(a) The mode of the data set is 24, as it appears twice in the data set.
The median of the data set is 24, as it is the middle value when the data set is arranged in ascending order.
The first quartile (Q1) is 12, as it is the median of the lower half of the data set.
The third quartile (Q3) is 43, as it is the median of the upper half of the data set.
To check for outliers, we can use the interquartile range (IQR), which is Q3 - Q1 = 43 - 12 = 31.
The lower outlier boundary is Q1 - 1.5(IQR) = 12 - 1.5(31) = -34.5.
The upper outlier boundary is Q3 + 1.5(IQR) = 43 + 1.5(31) = 89.5.
Since all the values in the data set are within the outlier boundaries, there are no outliers.

(b) To find the data value corresponding to the 60th percentile, we can use the formula:
Percentile rank = (p/100)(n + 1)
where p is the percentile, and n is the number of data values.
In this case, p = 60 and n = 25, so the percentile rank is (60/100)(25 + 1) = 15.6.
Since the percentile rank is not a whole number, we can use interpolation to find the data value corresponding to the 60th percentile.
The data value corresponding to the 60th percentile is 32 + (0.6)(35 - 32) = 33.8.

(c) To find the percentile rank of the age 40, we can use the formula:
Percentile rank = (L + 0.5f)/n
where L is the number of data values less than 40, f is the frequency of 40, and n is the number of data values.
In this case, L = 17, f = 1, and n = 25, so the percentile rank of the age 40 is (17 + 0.5(1))/25 = 0.7 or 70th percentile.

(d) To draw a boxplot for the data set, we can use the values of the first quartile (Q1), median, and third quartile (Q3) that we found in part (a).
The boxplot would look like this:
[12]---[24]---[43]
Q1 Median Q3

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If 10% of a number equals 4, find 40% of that number.

Answers

Let's call the number we're trying to find "x". If 10% of x equals 4, we can write an equation to represent this:
0.1x = 4

To solve for x, we can divide both sides of the equation by 0.1:
x = 40

Now that we know the value of x, we can find 40% of it by multiplying x by 0.4:
0.4x = 0.4 * 40 = 16

So, 40% of the number is 16

The answer is 16
First you do 4/10%=40, 40% times 40=16

what is 6 times 340 = ?

Answers

Answer:

6 x 340 = 2,040

Step-by-step explanation:

Answer:

2,040

Step-by-step explanation:

times means to multiply so the equation would look like 6 * 340 and if multiplied together then the equation would look like this:

6 * 340 = 2,040

Consider a finite population with five elements labeled A, B, C, D, and E. Ten possible simple random samples of size 2 can be selected.
Using simple random sampling, what is the probability that each sample of size 2 is selected?
Assume the number 1 corresponds to A, the number 2 corresponds to B, and so on. Which of the following represents the simple random sample of size 2 that will be selected by using the random digits 8 0 5 7 5 3 2?
SelectB, CE, CC, BE, ENone of the above

Answers

The simple random sample of size 2 selected using these random digits is "DE" (D and E). The correct answer is(E) None of the above.

To determine the simple random sample of size 2 using the given random digits, we can match each digit with the corresponding element in the population.

The random digits provided are 8 0 5 7 5 3 2. Using the mapping provided (1 to A, 2 to B, etc.), we can identify the corresponding elements for each digit:

8 corresponds to D

0 corresponds to A

5 corresponds to E

7 corresponds to C

5 corresponds to E

3 corresponds to C

2 corresponds to B

Therefore, the simple random sample of size 2 selected using these random digits is "DE" (D and E).

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Please help asap needed :)

Answers

Answer:

362.35N/m²

Step-by-step explanation:

Pressure = Force/Area

Area = πr²

Area = 3.14(0.75)²

Area = 3.14(0.5625)

Area = 1.76625m²

Force = 640N

Pressure = 640/1.76625

Pressure = 362.35N/m²

A school Held several evening activities last month a Music concert at basketball game, a drama play and literacy night. The music concert was attended by 250 people how many people came to each other activities? attendance at a basketball game was 30% of attendance at the concert?

Answers

75% people came to each other activities

PERCENTAGES:

percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity.

The music concert was attended by 250 people

350 people attended the drama play

the percentage of people at other activities

30 /100 × 250 = 75%

75% people came to each other activities

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If P(B)=0.3,P(A∣B)=0.5,P(B ′ )=0.7, and P(A∣B ′ )=0.8, find P(B∣A).

Answers

If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113

To find the value of P(B|A), follow these steps:

The probability of B given A can be given by the product of the probability of A given B and the probability of B, divided by the total probability of B. So, the formula for P(B|A) = P(A|B) * P(B) / [P(A|B)*P(B)+P(A|B')*P(B')]. Substituting the values, we get P(B|A) = (0.5) (0.3) / [(0.5) (0.3) + (0.8) (0.7)] ⇒P(B|A) = 0.15 / [0.15 + 0.56] ⇒P(B|A) = 0.15 / 0.71 ⇒P(B|A) = 0.2113. Therefore, P(B|A) = 0.2113.

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can you help me please

Answers

Answer:

sine 23 = x/21

Multiply both sides by 21

21 x sine 23 = x

Now, use a calculator and find the answer of the 21 times the sine of 23:

x = -17.7706284876

someone please help me, if i dont turn this in within less than 24 hrs, ill have to repeat my grade. how do i write an equation for the cost of a vacaton? the cost per night is 69$ and im staying for 5 days, it costs 1,079 to get there. PLEASE HELP ME

Answers

Let cost per night/days be c
Total cost= $1,079+$69c
C=5
$1079+$69(5)
$(1079+345)=1424
=$ 1,424

Calm down I gotchu

Write an equation for the line that passes through (10, 17) and (20, 37)

Answers

y=2x-3 is the equation for the line that goes through (10,17) and (20,37)

Write an equation for the line that passes through (10, 17) and (20, 37)

Given z₁ = 4 cos(cos(π/4)+isin(π/4)) and z₂=2(cos(2π/3)+isin(2π/3)), i, find z₁z₂ ii, find z₁/z₂

Answers

z_1 and z_2 are complex number;

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

To calculate z₁z₂ and z₁/z₂, we need to perform the complex number operations on z₁ and z₂. Let's break down the calculations step by step:

i) To find z₁z₂, we multiply the magnitudes and add the angles:

z₁z₂ = 4cos(cos(π/4) + isin(π/4)) * 2cos(2π/3) + isin(2π/3))

= 8cos((cos(π/4) + 2π/3) + isin((π/4) + 2π/3))

= 8cos(7π/12) + isin(7π/12)

ii) To find z₁/z₂, we divide the magnitudes and subtract the angles:

z₁/z₂ = (4cos(cos(π/4) + isin(π/4))) / (2cos(2π/3) + isin(2π/3))

= (4cos((cos(π/4) - 2π/3) + isin((π/4) - 2π/3))) / 2

= 2cos(π/12) + isin(π/12)

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

Please note that the given calculations are based on the provided complex numbers and their angles.

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Find the value of each variable.
y =
z =

Answers

Answer:

z=70 degrees y=117 degrees

Step-by-step explanation:

To find angle z, you have to know that when two sides are against each other, they have to equal 180 degrees so 180-110 is equal to 70. Therefore z is equal to 70 degrees. To find y, you have to know that a quadrilateral's total degrees is equal to 360 degrees. Therefore, you have to do 360-93-80-70 which is equal to 117 degrees. Therefore y is equal to 117 degrees.

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evaluate the integral. check your results by differentiation. (remember the constant of integration.) (3x3 1)69x2 dx

Answers

After evaluating the integral is $69x^{6}/2 + 23x^{3} +C$.

Given:

(3x3+1)69x2 dx

= 69$x^{2}$*3$x^{3}$ + $69x^{2}$

= 207$x^{5}$ + $69x^{2}$

apply integration

= ∫ 207$x^{5}$ + $69x^{2}$

= 207∫$x^{5}$ + 69∫$x^{2}$

= 207*$x^{6} /6$ + 69*$x^{3} /3$

= 69$x^{6} /2$ + $23x^{3}$ + C

Therefore After evaluating the integral is $69x^{6}/2 + 23x^{3} +C$.

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Burt ran the length of the trail in his town’s park. There are 9 parts to the trail, and each part is the same length. Burt ran a total of 1.8 kilometers.

What is the length of each part of the trail?

Answers

.2 miles- 1.8/9 is .2 miles

I’m stuck, thank you.

Answers

Unlike the others, the 'a' values aren't all correctly placed.

The a = -4 in the middle is correctly placed, since it's the only parabola that opens downward. This applies whenever a < 0.

The left and right items are incorrectly placed. The more narrow graph needs to have a = 1. The further 'a' is from zero, the more narrow the parabola.

In short, you need to swap the a = 1 and a = 0.25

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

4:5

Step-by-step explanation:

I'm 99% percent sure this is correct

Answer:

45 is equivelent in ruduces form

Step-by-step explanation:

To reduce this fraction, simply divide the numerator and denominator by 2 (the GCF). So, 810 = 8÷210÷2 = 45.

What’s the mean,median,mode, and range of 5,28,16,32,5,16,48,29,5,35

Answers

Answer:

Step-by-step explanation:

5, 5, 5, 16, 16, 28, 29, 32, 35, 48

Mode: 5, 16

Median: 44/2 = 22

range: 48 - 5 = 43

mean: (5 + 5 + 5 + 16 + 16 + 28 + 29 +32 + 35 + 48)/10 = 219/10 = 21.9

A water rocket is launched froni a platform. The height,
h in metres, of the water rocket at time & seconds after
it is launched is h= -212 + 74 + 4. When does the water
rocket hit the ground?

Answers

Answer:

4.41seconds later

Step-by-step explanation:

Let the equation of the height reached by the water front be h = -2t^2+7t+4

The water hits the ground at h =0

Substitute

0 = -2t^2+7t+4

-2t^2+7t+4 = 0

2t^2 - 7t - 8 = 0

t = 7±√(-7)²-4(2)(-8)/2(2)

t = 7±√49+64/4

t = 7±√113/4

t = 7±10.63/4

t = 7+10.63/4

t = 17.3/4

t = 4.41s

Hence the water hit the ground 4.41seconda later

Which statement below is consistent conceptually with what a computed Pearsons r value represents?

The Pearson's r value represents the degree to which X and Y scores vary separately relative to how much X and Y scores covary together.

The Pearson's r value represents the degree to which X and Y scores covary together relative to how much X and Y scores vary separately.

The Pearson's r value represents the degree to which between groups variability exists, relative to within groups variability.

The Pearson's r value represents the degree to which within groups variability exists, relative to between groups variability.

Answers

The statement that is consistent conceptually with what a computed Pearson's r value represents is:

"The Pearson's r value represents the degree to which X and Y scores covary together relative to how much X and Y scores vary separately."

Pearson's correlation coefficient (r) measures the strength and direction of the linear relationship between two variables, X and Y. It quantifies how closely the data points of X and Y align on a straight line. The magnitude of the correlation coefficient represents the degree to which the variables covary together. Additionally, the statement acknowledges that the coefficient compares the variability in X and Y scores separately to the variability when considering both variables together.

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HELP.

A bank account started with $1000 and earned $10 interest per month
for two years. The bank then paid 2% interest on the account for the
next two years.

Answers

Answer:

2992 or 2112

Step-by-step explanation:

$1,000 times 10% (0.1) = $100

$1,200 in a year.

$2,400 in a year + $1,000 originally = $3,400.

$3,400 * 0.12 = $408

#3,400 = $408 = $2,992.

Or..

$2,400 * 0.12 = $288

$2,400 - $288 = $2,112.

What quadrant is point A located in?

A. quadrant I
B. quadrant II
C. quadrant III
D. quadrant IV

Answers

B.quadrant 11 is the answer

passing through the points (3,2) with a slope of -1/3

Answers

Answer:

x + 3y - 9 = 0 or y = -1/3x + 3

Step-by-step explanation:

y - 2 = -1/3 (x - 3)

3y - 6 = -x + 3

x + 3y - 9 = 0

Answer:

y=−1/3x+3

Step-by-step explanation:

easy

(3,2)

slope: -1/3

make a graph

slope is rise over run

y - 2 = -1/3 (x - 3)

3y - 6 = -x + 3

x + 3y - 9 = 0

y=−1/3x+3

y-intercept is point where x is 0

y=mx+b

y=−1/3x+3

Jamie is fencing using a Sabre that is 34 in long if he is standing 23 in from his opponent what angle should he use to strike down at his opponent

Answers

,.,.,.,.

,,.,.,.

,.,.,

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