David car would cover one lap of the Indy 500 in about 90 seconds. Chris’s car could cover one lap in about 54 seconds. If both cars left the same starting point at the same time, after how many seconds would they meet again at the starting Point ?

Answer:

56 degrees

Step-by-step explanation:

Here, I think you just accidentally put the value for the angle ZWX, which would be ZWP+PWX(56+56).

You actually already wrote it on the paper, so nothing wrong with your math here, just a thinking error :)

Answer:

4/15

Step-by-step explanation:

this is because you are basically dividing the first fraction by 1

Answer: 16.67% for question 1

83.33% for question 2

Step-by-step explanation:

1/6 as a percent is 16.67% because the is only 1 correct number

5/6 as a percent is 83.33% because there is 5 wrong numbers

Answer:

Step-by-step explanation: 1/36

Answer:

Step-by-step explanation:

sum of angles in a triangle=180º

90+60x+30x=180

90+90x=180

90(1+x)=180

1+x=2

x=1

angle A=30º

Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.

Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.

Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.

At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.

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Answer:

  The answer is D

Step-by-step explanation:

9(x + -3) + 28 = 4x + -3

Reorder the terms:

9(-3 + x) + 28 = 4x + -3

(-3 * 9 + x * 9) + 28 = 4x + -3

(-27 + 9x) + 28 = 4x + -3

Reorder the terms:

-27 + 28 + 9x = 4x + -3

Combine like terms: -27 + 28 = 1

1 + 9x = 4x + -3

Reorder the terms:

1 + 9x = -3 + 4x

Solving

1 + 9x = -3 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

1 + 9x + -4x = -3 + 4x + -4x

Combine like terms: 9x + -4x = 5x

1 + 5x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0

1 + 5x = -3 + 0

1 + 5x = -3

Add '-1' to each side of the equation.

1 + -1 + 5x = -3 + -1

Combine like terms: 1 + -1 = 0

0 + 5x = -3 + -1

5x = -3 + -1

Combine like terms: -3 + -1 = -4

5x = -4

Divide each side by '5'.

x = -0.8

Simplifying

x = -0.8

Answer:

the correct answer is D. 9(x-30) + 28 = 4x - 3

Step-by-step explanation:

Answer:

91%

Step-by-step explanation:

Answer:

91%

Step-by-step explanation:

Count the white blocks: 9

and subtract them from the blue blocks: 100 - 9 = 91%

To calculate a z-score we use the following formula:

where mu represents the mean and sigma represents the standard deviation.

item a)

Given a mean of 79 and a standard deviation of 4.3, the corresponding z-score for a score of 95 is:

item b)

The range rule of thumb suggests that most values would be in the area covered by four standard deviations, in another words, within two standard deviations above or below the mean.

The z-score absolute value represents how many standard deviations the actual value is from the mean, therefore, 95 is 3.72 standard deviations above the mean, therefore it is an unusual value.

item c)

To find how many standard deviations 70 is from the mean, we calculate its z-score.

he z-score absolute value represents how many standard deviations the actual value is from the mean, therefore, 70 is 2.09 standard deviations below the mean.

item d) and e)

Since 70 is 2.09 standard deviations below the mean, it is an unusual value.

Answer:

5

Step-by-step explanation:

there can never be a negitive postive lol not a thing and its 5

Answer:

5

Step-by-step explanation:

The positive difference is the amount by which the larger number is larger than the smaller number.

In this case, -11 is positive 5 units higher than -16.

According to the angles between intersecting secant and tangent, the value of

angle DF is 52 degrees

angle PQR = 49 degrees

The value of angle DF is solved using the angles of intersecting secant out side the circle

The theorem give the formula in the form

44 = 1/2 (140 - DF)

88 = 140 - DF

DF = 140 - 88

DF = 52 degrees

Using intersection of tangents, for the second figure

exterior angle = 1/2 (major arc - minor arc)

major arc = 360 - 131 = 229

PQR = 1/2 (229 - 131)

PQR = 49 degrees

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Answer:

d

Step-by-step explanation:

cas i no math

Answer:

Step-by-step explanation:

Point P is marked in the expanded view on the 7th mark of the 10 marks between 5×10^-3 and 6×10^-3. That means it is representing ...

  (5 +7/10)×10^-3 = 5.7×10^-3 . . . . scientific notation

__

The -3 exponent of 10 means the multiplier of the value is 1 in the 3rd place to the right of the decimal point: 0.001. So, the standard form of the number is ...

  5.7×0.001 = 0.0057 . . . . . standard form

Answer:  To show that the equation "3sin () tan () = 5cos () - 2" is equivalent to the equation "(4 cos() - 3)(2 cos () + 1) = 0", we need to simplify the first equation and check if it has the same solutions as the second equation.

Starting with the first equation:

3sin () tan () = 5cos () - 2

Using the identity tan () = sin () / cos (), we can write:

3sin () (sin () / cos ()) = 5cos () - 2

Multiplying both sides by cos (), we get:

3sin^2 () = (5cos () - 2)cos ()

Using the identity sin^2 () + cos^2 () = 1 and rearranging, we get:

3(1 - cos^2 ()) = 5cos^2 () - 2cos ()

Expanding and rearranging, we get:

5cos^2 () - 2cos () - 3 + 3cos^2 () = 0

Simplifying, we get:

8cos^2 () - 2cos () - 3 = 0

Now, we can use the quadratic formula to solve for cos ():

cos () = [2 ± sqrt(2^2 - 4(8)(-3))]/(2(8))

cos () = [2 ± sqrt(100)]/16

cos () = (1/4) or (-3/8)

Substituting these values back into the original equation, we can verify that they satisfy the equation.

Now, let's consider the second equation:

(4 cos() - 3)(2 cos () + 1) = 0

This equation is satisfied when either 4cos() - 3 = 0 or 2cos() + 1 = 0.

Solving for cos() in the first equation, we get:

4cos() - 3 = 0

cos() = 3/4

Substituting this value back into the original equation, we can verify that it satisfies the equation.

Solving for cos() in the second equation, we get:

2cos() + 1 = 0

cos() = -1/2

Substituting this value back into the original equation, we can also verify that it satisfies the equation.

Therefore, we have shown that the equation "3sin () tan () = 5cos () - 2" is equivalent to the equation "(4 cos() - 3)(2 cos () + 1) = 0".

Answer:

-28+7y

Step-by-step explanation:

-7(4-y)

-28+7y

The confidence interval is 0.559 < p < 0.641 and expected value is 0.600

To construct a confidence interval for the true population proportion, we can use the formula:

p ± Z * √((p × (1 - p)) / n)

Where:

p = sample proportion (336/560)

Z = critical value for the desired confidence level

95% confidence = Z-value of approximately 1.96

n = 560

Let's calculate the confidence interval:

p = 336/560 ≈ 0.600

Z ≈ 1.96 (for a 95% confidence level)

n = 560

Plugging these values into the formula:

p ± Z × √((p × (1 - p)) / n)

0.600 ± 1.96 × √((0.600 × (1 - 0.600)) / 560)

0.600 ± 1.96 × √((0.240) / 560)

0.600 ± 1.96 × √(0.0004285714)

0.600 ± 1.96 × 0.020709611

0.600 ± 0.040564459

The confidence interval is:

0.559 < p < 0.641

Therefore, the 95% confidence interval for the true population proportion of adults with children is 0.559 < p < 0.641.

For proportions, the expected value is simply the sample proportion, which is approximately 0.600.

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17.6866 is  the range rule of thumb to estimate the standard deviation.

How to interpret a standard deviation?

The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean.

                        Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

The rule of thumb for estimating standard deviation is given by

   σ = Range/4

The range is difference between maximum and minimum values

     σ ≈ 70 - 8/4

        ≈ 15.5

Use Microsoft excel or any other software to calculate the exact standard deviation

            σ = √1/n∑ⁿi (xi - x)²

                 = 17.6866

Our approximated standard deviation is almost equal to actual standard deviation.

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Answer:

∠ BCA = 25°

Step-by-step explanation:

the inscribed angle BCA is half the measure of the central angle BOA , so

∠ BCA = \(\frac{1}{2}\) × 50° = 25°

Account Compounding Interest after 6 years

1 quarterly

A1 = -$1798.42

2 monthly $

A2 = -$1798.01

3 daily $

A3 =  -$1797.96

1) An account with quarterly compounding: After 6 years, the formula to calculate the interest is:

Interest = Principal \(\times\)(1 + (rate / \(n))^{(n * t)}\) - Principal

Substituting the given values:

Principal = $2200

Rate = 3% = 0.03

n = 4 (quarterly compounding)

t = 6 years

Interest = $2200 \(\times\) (1 + (0.03 / \(4))^{(4 \times 6)}\) - $2200

Interest = $2200 \(\times\)\((1.0075)^{(24)}\) - $2200

Interest ≈ $401.58 - $2200

Interest ≈ -$1798.42 (rounded to two decimal places).

2) An account with monthly compounding: After 6 years, the formula remains the same, but the compounding frequency changes:

   Principal = $2200

   Rate = 3% = 0.03

   n = 12 (monthly compounding)

   t = 6 years

Interest = $2200 \(\times\)(1 + (0.03 / \(12))^{(12 \times 6)}\) - $2200

Interest = $2200 \(\times\)\((1.0025)^{(72)}\) - $2200

Interest ≈ $401.99 - $2200

Interest ≈ -$1798.01 (rounded to two decimal places)

3) An account with daily compounding: Using the same formula with the compounding frequency:

   Principal = $2200

   Rate = 3% = 0.03

   n = 365 (daily compounding)

   t = 6 years

Interest = $2200 \(\times\)(1 + (0.03 / \(365))^{(365 \times 6)}\) - $2200

Interest = $2200 \(\times\)\((1.000082)^{(2190)}\) - $2200

Interest ≈ $402.04 - $2200

Interest ≈ -$1797.96 (rounded to two decimal places)

In all three cases, the interest earned is negative, indicating that the accounts would have lost money rather than gained interest.

This suggests that there might be an error in the calculations or the provided interest rates. It's important to verify the given information to ensure accurate calculations and resolve any discrepancies.

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Answer:

To find the percent of 125 that 375 is, we need to divide 375 by 125 and then multiply by 100.

375 / 125 = 3

So 375 is 3 times 125. Multiplying 3 by 100, we get:

3 * 100 = 300%

So the correct answer is C) 300%.

Succes!

Answer:

C) 300%

Step-by-step explanation:

Percent of 125 means the value of x/125.

Where x is the value 375.

375/125 = 3

3 * 1 =

3 * 100% = 300%

It can be mistaken as 33.33% since 125 is 33.33% of 375.

^^ This question is asking 125 is what percent of 375.

But remember, the question, 'What percent of 125 is 375?', is asking 375 is what percent of 125, not the other way around.

Answer:

169 + 121 = 225

Step-by-step explanation:

It is not a right triangle
A squared + b square should equal c squared.
169 + 121 = 290

a) His distances after each jump are given as follows:

b) He will jump exactly 16 meters.

In a geometric sequence, each term is obtained by the multiplication of the previous term by the common ratio.

In this problem, the sequence is given as follows:

8, 4, 2, ...

The common ratio is of:

q = 2/4 = 4/8 = 0.5.

Then the next jumps are given as follows:

The sum of the elements of an infinite geometric sequence is given as follows:

\(S = \frac{a_1}{1 - q}\)

In which \(a_1\) is the first element.

Hence for this problem, the sum is of:

S = 8/(1 - 0.5) = 16 meters.

Which means that he will reach exactly the desired distance.

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Answer:

Below

Step-by-step explanation:

Line AB is of the form y = mx + b    where m is the slope = 2

 Line BC is perpendicular to this and will have slope - 1/m = - 1/2   and includes the point C (0,6)

 The point slope form of line BC will then be

     ( y-6) = - 1/2 ( x - 0)    which can be re-arranged to

       y = - 1/2x + 6     < ==== equation for line BC

If the random variable x is normally distributed with a mean equal to 0.45 and a standard deviation equal to 0.40, then P(x ≥ .75) is 0.9227.

A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.

Given the problem above, we need to find what the z-score is when P(x ≥ .75).

The formula for calculating a z-score is given by:

\(Z=\dfrac{\text{x}-\mu}{\sigma}\)

Where:

Now,

\(Z=\dfrac{\text{x}-\mu}{\sigma}\)

\(Z=P(\text{x} \geq 0.75) = \huge \text(\dfrac{P(Z \geq (0.75 - 0.45)}{0.40}\huge \text)\)

\(Z= P\huge \text (\dfrac{Z \geq0.30}{0.40}\huge \text)\)

\(Z=P(Z \geq 0.75) = 1 - P(Z < 0.75)\)

\(Z=1 - 0.077337\)

\(Z\thickapprox 0.9227\)

Therefore, the z-score of P(x ≥ .75) is 0.9227.

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Answer:

\(P(-2<Z<2)=95\%\)

Step-by-step explanation:

From question we are told that

Sample mean \(\=x= 47\)

Standard deviation \(\sigma =7\)

Generally the  X -Normal is given as

      \(Z=\frac{x-\=x}{\sigma}\)

      \(Z=\frac{x-47}{9}\)

Analyzing the range

    \(P(47<x<65) = P(0< z<2.00)\)

    \(P(47<x<65) = 95/2\)

   \(P(47<x<65) = 47.5\%\)

Mathematically

\(Z_1 =\frac{47-47}{9} =0\)

\(Z_2 =\frac{65-47}{9} =2\)

Empirical rule shows that

\(P(-2<Z<2)=95\%\)

The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

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Answer:

Below:

Step-by-step explanation:-

The answer is in the comment!! someone answered your question!!

Answer:

false this is because the answer would contain all the values in both sets

Answer:

4,054.16

Step-by-step explanation:

5,000/(1 + 3.5%/12)^6 x 12

4,054.16..........

The number will keep going but here is a rounded answer:

4,054.16

The difference between the observed and expected number of late departures is statistically significant, we need to perform a binomial test by calculating the probability of observing 16 or more late departures out of 300 flights assuming the null hypothesis is true. If the resulting p-value is less than 0.05, we can conclude that the difference is statistically significant.

Based on the given information, an airline with a 95% on-time departure rate has 16 out of 300 flights with late departures. The question asks whether the difference between what occurred (16 late departures) and what you would expect by chance is statistically significant.
To determine if the difference is statistically significant, we need to conduct a hypothesis test. In this case, we can use a binomial test since we are dealing with two possible outcomes: on-time departure or late departure.
The null hypothesis (H0) assumes that the observed number of late departures is equal to what would be expected by chance. The alternative hypothesis (Ha) assumes that there is a significant difference between the observed and expected values.
In this case, the expected number of late departures can be calculated by multiplying the total number of flights (300) by the expected on-time departure rate (95%). This gives us an expected value of 300 * 0.05 = 15.
To perform the binomial test, we can calculate the probability of observing 16 or more late departures out of 300 flights, assuming the null hypothesis is true. This probability can be calculated using the binomial probability formula or by using statistical software.
If the resulting probability (also known as the p-value) is less than the significance level (usually 0.05), we can reject the null hypothesis and conclude that the difference between what occurred and what would be expected by chance is statistically significant. Otherwise, if the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the difference is not statistically significant.
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Answer:

A customer asks for two money orders. The first is for the amount of $637.24 and the second

is for $25.76. If there is a $1.00 charge for each money order, what is the total amount the

customer would owe you?

A customer asks for two money orders. The first is for the amount of $637.24 and the second

is for $25.76. If there is a $1.00 charge for each money order, what is the total amount the

customer would owe you?