After travelling 2/5 of a Journey
a driver found that he had
60km
more to go
find the length
of the whole Journey?​

Answer:

10 yrs old and 35 yrs old

Step-by-step explanation:

I figured it out by trial and error but here's the thinking process.

10 + 35= 45

Son becomes dad's age so 35-10=25, so plus 25 year to each age.

10+25=35

35+25= 60

35+60=95

I hope that makes enough sense!

Answer:

b)612÷6

Step-by-step explanation:

6)612(102

-6

01

- 0

12

-12

0

=102

Answer:

Step-by-step explanation:

(-3, 2) and (2, -3)

(-3 - 2)/(2 + 3) = -5/5 = -1

answer is b

Answer:

28) Y=1x+c

29)-2/3x+c

Step-by-step explanation:

Answer:

\(y -2x = -8\)

Step-by-step explanation:

Given:

\(y = 2x -5\)

Parallel lines have the same slopes in their equations. We can see the given equation of the line is written in Slope-Intercept Form with slope \(2\). So, let's just find the equation that has the same slope.

We can see that all of the linear equations given in the choices are written in Standard Form. This means that this makes it harder to know the slope. So, we have to write rewrite them in Slope-Intercept Form. However, the equation, \(y -2x = -8\) is the one that has the same slope with the given linear equation. If in doubt you can rewrite the other equations in Slope-Intercept Form yourself or see the solution below.

\(y -2x = -8 \\ y -2x +2x = -8 +2x \\ y = 2x -8\)

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19°

The unknown angle be x

20:-

If unknown angle be x

\(\\ \sf\longmapsto x+76=180\)

\(\\ \sf\longmapsto x=180-76\)

\(\\ \sf\longmapsto x=104°\)

Answer:

60 i think

Step-by-step explanation:

109-180= 71

u=71

71+49=120

120-180=60

109 is on a straight line with an interior angle of a triangle, so 180 - 109 = 71 degrees.

Add two known interior angles (71 + 49) together and you get 120 degrees.

Subtract 120 from 180 (since 180 is the sum of all three interior angles of a triangle) and you get 60 degrees.

1) Note that we can see the following function:

Note that we can see that this function f is vertically stretched, translated 1 unit to the side, and vertically shifted one unit

2) Now, let's visualize h(x):

Note that the difference between the graph of f and the graph of h(x) is h(x) is translated 5 units to the right.

So h(x) is horizontally translated 5 units to the right

The probability that fewer than 70 out of 400 households are watching the series, use =BINOM.DIST(69,400,0.2,TRUE) in Excel.

To solve this problem using Excel, you can utilize the binomial distribution function. The binomial distribution calculates the probability of obtaining a certain number of successes in a fixed number of trials, given a specific probability of success.

In this case, the probability of a household watching the series on a regular basis is 20%, or 0.2. You want to find the probability that fewer than 70 households out of 400 are watching the series regularly.

To calculate this probability in Excel, you can use the following formula:

=BINOM.DIST(69,400,0.2,TRUE)

Here's how the formula works:

The number 69 represents the maximum number of successes (households watching the series) you want to calculate the probability for (fewer than 70).

The number 400 represents the total number of trials (randomly selected households).

The number 0.2 represents the probability of success (probability of a household watching the series on a regular basis).

TRUE as the fourth argument specifies that you want to calculate the cumulative probability of getting fewer than 70 successes.

By entering this formula in an Excel cell, you will obtain the probability rounded to four decimal places.

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The probability that exactly one of the coins is a 10p piece is 1/2.

To find the probability that exactly one of the coins is a 10p piece, we can consider the possible outcomes.

There are two coins, and each coin can be either a 10p piece or a non-10p piece. Let's consider the four possible outcomes:

1. Erin's coin is a 10p piece, and Jack's coin is a non-10p piece.

2. Erin's coin is a non-10p piece, and Jack's coin is a 10p piece.

3. Both Erin's and Jack's coins are 10p pieces.

4. Both Erin's and Jack's coins are non-10p pieces.

Since the total amount of the two coins is less than 50p, we can eliminate the third possibility (both coins being 10p pieces).

Now, let's calculate the probability for each of the remaining possibilities:

1. Erin's coin is a 10p piece, and Jack's coin is a non-10p piece:

The probability of Erin having a 10p piece is 1/2, and the probability of Jack having a non-10p piece is also 1/2. Therefore, the probability of this outcome is (1/2) * (1/2) = 1/4.

2. Erin's coin is a non-10p piece, and Jack's coin is a 10p piece:

This is the same as the previous case, so the probability is also 1/4.

3. Both Erin's and Jack's coins are non-10p pieces:

The probability of Erin having a non-10p piece is 1/2, and the probability of Jack having a non-10p piece is also 1/2. Therefore, the probability of this outcome is (1/2) * (1/2) = 1/4.

Now, we sum up the probabilities of the two cases where exactly one of the coins is a 10p piece:

1/4 + 1/4 = 2/4 = 1/2.

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Answer:

please make brainiest

The horizontal distance from the tower to the fire is 7 feet

The term "angle of depression" describes the angle created by a horizontal line and the line of sight from the observer's eye to a location below their horizontal line of sight. It is often calculated by descending from the horizontal line.

The angle of depression is a term that is frequently used in discussions of observations or measurements involving objects that are below the observer's location in geometry and trigonometry.

We know that;

Tan 3 = x/140

x = 140 Tan 3

x = 7 feet

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Hello!

1/6 ≈ 0.167

the answer is 0.167

The length of the minor axis for the given ellipse is 8 units. Therefore, the correct option is A: 8.

The equation of the ellipse is in the form \(((x - h)^2) / a^2 + ((y - k)^2) / b^2 = 1\) where (h, k) represents the center of the ellipse, a is the length of the semi-major axis, and b is the length of the semi-minor axis.

Comparing the given equation to the standard form, we can determine that the center of the ellipse is (-4, 1), the length of the semi-major axis is 5, and the length of the semi-minor axis is 4.

The length of the minor axis is twice the length of the semi-minor axis, so the length of the minor axis is 2 * 4 = 8.

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Answer:

Bert: $4 Per Mile

Madeline: $5 Per Mile

i think 50 (i got tired of writing almost broke my hand)

Step-by-step explanation:

Answer:

No model given

Step-by-step explanation:

Answer:

D. 50.

Step-by-step explanation:

50 trials . The greater the number of trials the closer will the experimental probability be to the theoretical.

Answer:

Amount of loan pay = $6.840 (Approx.)

Step-by-step explanation:

Given:

Amount of loan borrow = $4,500

Rate of interest = 15% = 0.15

Number of year = 3 year

Find:

Amount of loan pay

Computation:

Future value = Present value[1+r]ⁿ

Amount of loan pay = Amount of loan borrow[1+r]ⁿ

Amount of loan pay = 4,500[1+0.15]³

Amount of loan pay = 4,500[1.15]³

Amount of loan pay = 4,500[1.52]

Amount of loan pay = $6.840 (Approx.)

Answer:

J

Step-by-step explanation:

Answer: 62-48=14

Step-by-step explanation: therefor the bottom right hand corner is 14.

hope this is right ;)

Answer:

\(132\) °

Step-by-step explanation:

Angles in a straight line add up to 180°

\(180-48\)

\(132\)

The bicycles produced from the beginning of week 2 to the end of week 3 are 2926.

To find the number of bicycles produced from the beginning of week 2 to the end of week 3, we will use the given production function P(t) = 95 + 588t^2 - 14t, where t is the number of weeks.

First, we need to find the number of bicycles produced by the end of week 2 and week 3.

To do this, we'll plug in t = 2 and t = 3 into the production function:

P(2) = 95 + \(588(2)^{2}\) - 14(2) = 95 + 588(4) - 28 = 95 + 2352 - 28 = 2419 bicycles

P(3) = 95 + \(588(3)^{2}\) - 14(3) = 95 + 588(9) - 42 = 95 + 5292 - 42 = 5345 bicycles

Now we need to find the difference between the bicycles produced by the end of week 3 and those produced by the end of week 2:

Number of bicycles produced from the beginning of week 2 to the end of week 3 = P(3) - P(2) = 5345 - 2419 = 2926 bicycles

So, the factory produced 2926 bicycles from the beginning of week 2 to the end of week 3.

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Answer: a

Step-by-step explanation: thanks for being my friend and sorry if im wrong

The Mitchells should report a total of $700 as dividend income on their joint return for Year 4.

Only the dividends received from Alert Corporation, a qualified domestic corporation, and Canadian Mines, Inc., a corporation incorporated in Canada, are taxable. The dividend from Eternal Life Mutual Insurance Company is not taxable since it is a dividend on a life insurance policy and the total dividends received on the policy do not exceed the cumulative premiums paid.

Therefore, the taxable dividends are $400 + $300 = $700.

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In a sample of 20 items, where six are defective. In this case, you should use  a. the plus four methods to construct the confidence interval.

The plus four methods, also known as the adjusted-Wald method,  are used when dealing with proportions, especially when the sample size is small or the proportion is close to 0 or 1. Since your sample size is only 20 items, the plus four methods is the most appropriate choice. This method involves adding four "virtual" observations to the sample data: two successes and two failures. This helps to adjust the estimates and produce a more accurate confidence interval.

In conclusion, for constructing a confidence interval for the proportion of defectives in a small sample like the one you provided, it's recommended to use the plus four methods (option a) as it adjusts for the small sample size and provides a more accurate estimate than the large-sample interval. Therefore the correct option is A.

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The equation of the tangent line to the curve y = −3x²/2x³ at the point (1, 2) is y = −x + 3.

The first step is to find the derivative of the curve. The derivative of y = −3x²/2x³ is y' = −3(1 + x²)/2x⁴.

The next step is to evaluate the derivative at the point (1, 2). The value of y' at (1, 2) is −3(1 + 1)/2(1)⁴ = −3/2.

The final step is to use the point-slope form of linear equations to find the equation of the tangent line. The point-slope form of linear equations is y - y1 = m(x - x1), where (x1, y1) is the point of tangency and m is the slope of the tangent line.

In this case, (x1, y1) = (1, 2) and m = −3/2. Substituting these values into the point-slope form of linear equations, we get y - 2 = −3/2(x - 1). Simplifying this equation, we get y = −x + 3.

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No, it doesn't show that single individuals under the age of 25 have more insurance claims than the nationwide percent reported by the big insurance firm.

Hypothesis

Null hypothesis : H0: p = 0.68

Alternative hypothesis : Ha: p > 0.68

A random sample of 53 claims showed that 41 were made by single people under the age of 25.

Thus; p^ = 41/53 = 0.7736

The test statistic is

z = (p^ - p_o)/√(p_o(1 - p_o)/n)

z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)

z = 0.0936/0.07285

z = 1.28

The p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;

P(z > 1.28) = 0.100273

The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.

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Answer:

224

Step-by-step explanation:

Answer: -m*(x-3y)*(3x-y)

(*=multiply btw)

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

 (m • ((x + y)2)) -  4m • (x - y)2

STEP2:

Equation at the end of step 2

 m • (x + y)2 -  4m • (x - y)2

STEP3:

3.1     Evaluate :  (x+y)2   =    x2+2xy+y2

3.2     Evaluate :  (x-y)2   =    x2-2xy+y2

STEP4:

Pulling out like terms

4.1     Pull out like factors :

  -3mx2 + 10mxy - 3my2  =   -m • (3x2 - 10xy + 3y2)

Trying to factor a multi variable polynomial :

4.2    Factoring    3x2 - 10xy + 3y2

Try to factor this multi-variable trinomial using trial and error

Found a factorization  :  (x - 3y)•(3x - y)

No, you can’t multiply a monomial and binomial together and have a product of a monomial.