Which of the following statements is not true

Answer:

680

Step-by-step explanation:

x = total number

.6x  = bus riders = 408              (.6 is decimal for 60%)

.6x = 408

x = 408/.6 = 680

9514 1404 393

Answer:

  x = (ab +a +b +c)/(a +b)

Step-by-step explanation:

Eliminate parentheses, subtract left terms not containing x, divide by the coefficient of x.

  \(a(x-b)+bx-c=a+b\\\\ax+bx-ab-c=a+b\\\\x(a+b)=ab+a+b+c\\\\\boxed{x=\dfrac{ab+a+b+c}{a+b}}\)

Answer:

yeah it is 9/16 you just need to subtract 7 from 16 and you get nine, you dont need to change the denominater.

Answer:

7/16 girls

all students are represent by1

boys=1-7/26(girls)

Answer:  It should be the third one

Step-by-step explanation:

Answer:

The temperature from least to greatest is as follows;

-12°F, -10°F , -8°F

Step-by-step explanation:

Here, given the temperatures at different times, we want to arrange the given temperatures from the least to the greatest;

This means we are arranging in descending order;

While we are dealing with negative numbers, the biggest negative numbers are the smallest

in values while the smallest negative numbers are the biggest in value. What we are saying here is that -8 is greater than -24

So the temperature arrangement will be ;

-12 , -10 , -8

Answer:

congratulate you have Windows 11

The cosine of `3π/2` is `-1` and sine of `3π/2` is `-1`.

The angle `3π/2` is in the third quadrant of the unit circle.

In this quadrant, cosine is negative and sine is positive.

Let's look at how to calculate cosine and sine of `3π/2`:

Cosine of `3π/2`:

The cosine of `3π/2` is `-1` because the x-coordinate of the point on the unit circle that corresponds to `3π/2` is `-1`.Sine of `3π/2`:

The sine of `3π/2` is `-1` because the y-coordinate of the point on the unit circle that corresponds to `3π/2` is `-1`.

Therefore, cosine of `3π/2` is `-1` and sine of `3π/2` is `-1`.

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Answer: 7

Step-by-step explanation: 4+3 = 7.

Answer:

Is 10B and you get like 1000

Answer:

you get like 1000

Step-by-step explanation:

sec x tan x

Multiply and divide by cos x + cot x.

sec x tan x (cos x + cot x) / (cos x + cot x)

Distribute numerator.

(sec x tan x cos x + sec x tan x cot x) / (cos x + cot x)

Simplify.

(tan x + sec x) / (cos x + cot x)

Answer:

A

Step-by-step explanation:

Note that the dots in both the upper and lower row increase by 1

The 3rd diagram has 4 dots in the upper and 3 in the lower , then

the next diagram should have 5 dots in the upper and 4 in the lower

This is the case in diagram A

Answer:

x = - 5

Step-by-step explanation:

Given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = - 18 when x = 3 , then

- 18 = 3k ( divide both sides by 3 )

- 6 = k

y = -6x ← equation of variation

When y = 30 , then

30 = - 6x ( divide both sides by - 6 )

- 5 = x

Answer:

\(y \: varies \: directly \: as \: x \: mean \\ \: y \: increase \: or \: decrease \: with \: x \\ y = - 18 \: \: \: \: x = 3 \\ y = 30 \: \: \: x = ? \\ - 18 ? = 90 \\ ? = - 5 = x\)

Answer:

Dependent

Step-by-step explanation:

Two events are said to be dependent when the outcome of the first event is  related to the other.

When two events, A and B are dependent, the probability of occurrence of A and B is:

P(A and B) = P(A) · P(B|A)

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Two events are dependent if the occurrence of one is related to the probability of the occurrence of the other.

If two events A and B depend on each other, then the probability  of A and B occurring is

P(A and B) = P(A)  P(B|A)

Two events are dependent if the occurrence of one is related to the probability of the occurrence of the other.

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Answer:

x = 12

Step-by-step explanation:

72° and (7x + 24)° are same- side interior angles and sum to 180° , that is

72 + 7x + 24 = 180

7x + 96 = 180 ( subtract 96 from both sides )

7x = 84 ( divide both sides by 7 )

x = 12

Answer:

0

Step-by-step explanation:

Answer:

0

I hope this helps!

Answer:

a = 5

Step-by-step explanation:

the mean is calculated as

mean = \(\frac{sum}{count}\)

          = \(\frac{4+6+4+7+8+a+6+7+7}{9}\) = 6 ( multiply both sides by 9 to clear fraction )

49 + a = 54 ( subtract 49 from both sides )

a = 5

Answer:

1.0954.

Step-by-step explanation:

Standard error  =  std dev / √n

=  6 / √30

= 1.0954.

The monthly mortgage payment for a $100,000 loan with a 5% annual interest rate and a 30-year fully amortizing term is approximately $536.82.

To calculate the monthly mortgage payment, we can use the formula for calculating the fixed monthly payment for a fully amortizing loan. The formula is: M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M = Monthly mortgage payment

P = Principal balance

r = Monthly interest rate (annual interest rate divided by 12 and converted to a decimal)

n = Total number of monthly payments (loan term multiplied by 12)

Plugging in the given values into the formula:

P = $100,000

r = 0.05/12 (5% annual interest rate divided by 12 months)

n = 30 years * 12 (loan term converted to months)

M = 100,000 * (0.004166667 * (1 + 0.004166667)^(3012)) / ((1 + 0.004166667)^(3012) - 1)

M ≈ $536.82

Therefore, the monthly mortgage payment for a $100,000 loan with a 5% annual interest rate and a 30-year fully amortizing term is approximately $536.82.

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If 10% of Hertz cars, 12% of Avis cars, and 4% of Thrifty cars have bad tires, then the probability that the firm will rent a car with bad tires is 0.0644 or 6.44%.

To find the probability that the firm will rent a car with bad tires, we need to consider the probability of renting a car from each agency and the probability of that car having bad tires. We use the law of total probability to combine these probabilities.

Let A, B, and C represent the events that the firm rents a car from Hertz, Avis, and Thrifty, respectively. Let D represent the event that the car has bad tires. Then:

P(D) = P(D|A)P(A) + P(D|B)P(B) + P(D|C)P(C)

If a firm rents cars 20% (0.20) from Hertz, 20% (0.20) from Avis and 60% (0.60) from Thrifty, and bad tires from Hertz is 10% (0.10), Avis is 12% (0.12), and Thrifty is 4% (0.04)

P(D) = (0.10)(0.20) + (0.12)(0.20) + (0.04)(0.60) = 0.0644

Therefore, the probability that the firm will rent a car with bad tires is 0.0644 or 6.44%.

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To find the distance between a point and a plane, we can use the formula for the distance from a point to a plane. The formula states that the distance d between a point P(x0, y0, z0) and a plane Ax + By + Cz + D = 0 is given by:

d = |Ax0 + By0 + Cz0 + D| / sqrt(A^2 + B^2 + C^2)

In this case, the point is P(4, 3, 1) and the plane is given by x - y + 2z = 10. Comparing this equation to the general form, we can see that A = 1, B = -1, C = 2, and D = -10.

Substituting the values into the formula, we have:

d = |1(4) + (-1)(3) + 2(1) + (-10)| / sqrt(1^2 + (-1)^2 + 2^2)

Simplifying the expression:

d = |4 - 3 + 2 - 10| / sqrt(1 + 1 + 4)

d = |-7| / sqrt(6)

d = 7 / sqrt(6)

Using a calculator to evaluate this value to three decimal places, we get:

d ≈ 2.867

Therefore, the distance between the point P(4, 3, 1) and the plane x - y + 2z = 10 is approximately 2.867 units.

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The 98% confidence interval of 93 course evaluation the estimation of the population standard deviation is (0.454, 0.681). For 93 professor evaluations, it is (0.318, 0.457). The course evaluations have a wider interval, indicating more variability compared to professor evaluations.

The construction of 98% confidence interval from which the 93 course evaluations were obtained, by using the formula

Confidence interval = (√((n-1)*s²)/√(chi-square upper)-√((n-1)*s²)/√(chi-square lower)),

where n is the sample size, s is the sample standard deviation, and chi-square upper and chi-square lower are the values from the chi-square distribution table with degrees of freedom (df) equal to n-1 and a cumulative probability of 0.99/2 = 0.495.

Using the given data, we have n = 93 and s = 0.56. From the chi-square distribution table with df = 92 and cumulative probability of 0.495, we obtain chi-square upper and chi-square lower as 67.339 and 49.645, respectively.

putting the values in the formula, we get

Confidence interval = (√((93-1)*0.56²)/√(67.339)-√((93-1)*0.56²)/√(49.645))

Confidence interval = (0.454, 0.681)

Therefore, we are 98% confident that the standard deviation of the population from which the 93 course evaluations were obtained falls within the interval (0.454, 0.681).

To construct a 98% confidence interval estimate of the standard deviation of the population from which the 93 professor evaluations were obtained, we can use the same formula as in above part, but with n = 93 and s = 0.41 (the sample standard deviation for professor evaluations).

From the chi-square distribution table with df = 92 and cumulative probability of 0.495, we obtain chi-square upper and chi-square lower as 67.339 and 49.645, respectively.

putting the values in the formula, we get

Confidence interval = (√((93-1)*0.41²)/√(67.339)-√((93-1)*0.41²)/√(49.645))

Confidence interval = (0.318, 0.457)

Therefore, we are 98% confident that the standard deviation of the population from which the 93 professor evaluations were obtained falls within the interval (0.318, 0.457).

Comparing the results from other parts, we can see that the confidence interval for the standard deviation of the population from which the course evaluations were obtained is wider than that for the population from which the professor evaluations were obtained. This suggests that there is more variability in the course evaluations than in the professor evaluations.

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Therefore, it will take approximately 13.7 years for the population to double.

a. To determine the growth rate, you need to calculate the percentage increase in population. The formula for growth rate is:

Growth Rate = (New Value - Old Value) / Old Value * 100

Using the given values, we have:

Growth Rate = (1577 - 1500) / 1500 * 100
Growth Rate = 77 / 1500 * 100
Growth Rate ≈ 5.13%

b. To write a general equation for the population, you can use the formula:

p(t) = p(0) * (1 + r/100)^t

where p(t) is the population at time t, p(0) is the initial population, r is the growth rate, and t is the number of years.

c. To estimate the population in 2010, we need to find the population at time t = 2010 - 2000 = 10 years. Using the general equation from part b, and substituting the given values:

p(10) = 1500 * (1 + 5.13/100)^10
p(10) ≈ 1500 * (1.0513)^10
p(10) ≈ 1500 * 1.6436
p(10) ≈ 2465.4

Therefore, the estimated population in 2010 is approximately 2465.

d. To find out how many years it will take for the population to double, we need to solve the equation:

2 * p(0) = p(0) * (1 + r/100)^t

Simplifying the equation, we have:

2 = (1 + r/100)^t

Taking the logarithm of both sides, we get:

log(2) = t * log(1 + r/100)

Finally, solving for t, we have:

t = log(2) / log(1 + r/100)

Substituting the growth rate from part a, we have:

t = log(2) / log(1 + 5.13/100)
t ≈ log(2) / log(1.0513)
t ≈ 13.7 years

Therefore, it will take approximately 13.7 years for the population to double.

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Therefore the solution of the given problem is  product of the equation is 3\(x^{3}\) + 12x.

The equals sign (=) must appear in an equation. You can think of an equation as having a left and a right side since there will be a mathematical expression on either side of it. Consider an equation to be a set of scales. Although you can use different amounts on either side, for it to be solved, each side must be equally balanced .An unknown will always be present in an algebraic equation. This is symbolized by a symbol, such x, y, or z.

Here,

We must calculate the product of 3x(\(x^{2}\) + 4).

In light of the query

Follow all of the instructions listed below to obtain the equation's product.

Equation; 3x(\(x^{2}\) + 4).

Then,

The product of the equation is,

=>3x(\(x^{2}\) + 4).

=>3\(x^{3}\) + 12x

Therefore the solution of the given problem is  product of the equation is 3\(x^{3}\) + 12x.

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Triangle STU has side lengths s= 34.0 and u= 40.5. Angle T has a measure of 49°. The length of side t is 41.9.

To find the length of side t, we can use the Law of Cosines, which relates the length of a side of a triangle to the cosine of its opposite angle and the lengths of the other two sides. Using the Law of Cosines, we have:

t^2 = s^2 + u^2 - 2su*cos(T)

Substituting the given values, we have:

t^2 = 34.0^2 + 40.5^2 - 2(34.0)(40.5)*cos(49°)

Solving for t, we get:

t ≈ 41.9

Therefore, the length of side t is approximately 41.9.

It is important to note that when using the Law of Cosines, it is necessary to use angle measurements in radians, not degrees.

However, most calculators are programmed to automatically convert degrees to radians when using trigonometric functions, so we can simply input the angle measure in degrees as shown above.

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Answer:

(-2, 10)

Step-by-step explanation:

All you have to do is add 4 to -6 and add 5 to 5. Since it was moved 4 units down and 5 units left, that means that those numbers were subtracted from the original coordinates. Although you are trying to find the original points, so instead you add 4 and 5 to the coordinates you have right now.

I hope that makes sense!

PLEASE GIVE BRAINLIEST !
I hope this helps :)

thank you and have a good day

Answer:

She would arrive 1 hour earlier than originally planned

Step-by-step explanation:

20 times 50 = 1000

this is the number of miles that Reena would travel at the speed of 50 mph for 20 hours.

If she drives 60 mph for the first 5 hours, she has so far driven 300 miles.  if she travelled 50 mph for the remained of the trip, we can figure out the amount of time she spent in this period by diving the remainder of 1000 - 300 = 700 by 50.

700/50 = 14

14 + 5 = 19

20 - 19 = 1