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Answer:

50 km/hr

Step-by-step explanation:

OK, this is how I solved this problem.

Let r = original rate of speed

     t = time after the stop to finish the trip

Time for trip without stopping is 225/r

(1)     1.5 + .5 + t = 225/r      This is a time equation

(2)    1.5r + t(r + 10) = 225     This is a distance equation

(1)       2 + t = 225/r            (2)      1.5r + tr + 10t = 225

         2r + tr = 225

                tr = 225 - 2r                 1.5r + 225 - 2r + 10(225/r - 2) = 225

                t = 225/r - 2

                                                   -.5r + 225 + 2250/r - 20 = 225

                                                     -5r + 2250 + 22500/r - 200 = 2250

                                                     -5r^2 + 2250r + 22500 - 200r = 2250r

                                                       5r^2 + 200r - 22500 = 0

                                                       5(r^ + 40r - 4500) = 0

                                                           5(r - 50)(r + 90) = 0

                                                                 r = 50   or    r = -90

The rate cannot be negative, so the original speed 50 km/hr

This not an easy problem and I hope you were able to follow my work

Answer:50km hope that helped pls mark me brainliest :))

Answer:

9/8, 1.125, or 1 1/8

Answer: \(\frac{21}{8}\) or 2.625

Step-by-step explanation:

Improper fractions

First, we want to convert 1 3/4 to an improper fraction.

We multiply the denominator(4)  by the coefficient (1) and add it to the numerator (3).

This gets us \(\frac{7}{4}\)

Keep change flip

When dividing fractions, a helpful thing to remember is "keep change flip"

This means you keep the first number as it is, change the division sign to multiply, and flip the divisor, in this case 2/3, to be 3/2.

So, the problem becomes \(\frac{7}{4} *\frac{3}{2}\)

Now, you jut multiply the numerators and denominators

\(\frac{7*3}{4*2} =\frac{21}{8}=2.625\)

Answer:

24 and 26

Step-by-step explanation:

consecutive even numbers are 2 units apart.

let n be one even number then the other is n+ 2 , and summing gives

n+ n + 2 = 50

2n + 2 = 50 ( subtract 2 from both sides )

2n = 48 ( divide both sides by 2 )

n = 24

n + 2 = 24 + 2 = 26

the 2 numbers are 24 and 26

Answer: PRIME NUMBERS BETWEEN 30 AND 45 ARE 31, 37, 41, and 43.

Answer:

Step-by-step explanation:

\(16^{\frac {3}{4}\) = \(\sqrt[4]{16^{3}}\)

So, 16 to the power of 3 equals 4096

\(\sqrt[4]{4096}\) = \(\sqrt[4]{8^{4}}\)

=8

Since the first child is a boy, this means we need to find the probability of another boy. This is 1/2 since we assume each gender has the same chance of happening.

Answer:

\(x\geq -9\)

Step-by-step explanation:

Answer:

x ≥ - 9

Step-by-step explanation:

Given

18 ≥ - 2x

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity,

- 9 ≤ x , that is

x ≥ - 9

Answer:

5.87

Step-by-step explanation:

4,700 divided by 800=5.875

Alternative hypothesis may be one-sided or two-sided.

b) alternative hypothesis.

In statistical hypothesis testing, the alternative hypothesis is one of the suggested propositions in the hypothesis test. In general, the purpose of a hypothesis test is to demonstrate that, under the given conditions, there is sufficient evidence to support the believability of an alternate hypothesis rather than the test's exclusive statement (null hypothesis). Because it is based on a review of the literature and previous studies, it is usually congruent with the research hypothesis. However, the research hypothesis is sometimes congruent with the null hypothesis.

In statistics, alternative hypotheses are frequently denoted as Hₐ or H₁. In a statistical hypothesis test, hypotheses are developed to be compared.

In the field of inferential statistics, two competing hypotheses can be compared using explanatory and predictive power.

This is the two tailed test .

alternative hypothesis is ,

Hₐ :μ≠

For the left tail is

Hₐ : μ<

For the right tail is

Hₐ :  μ >

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The complete question is :

"In hypothesis testing, which hypothesis can be either one-sided or two sided?

Group of answer choices

a.) null hypothesis

b.) alternative hypothesis"

Yes, angry is considered to be a tone in a paper.

The tone of writing appears an author’s attitude or intent. The tone is the essence of the voice, which is how a writer passes on their thoughts to the peruser. Tone can be found through particular words, expressions, and sentence structure. The tone is broadly depicted as the author’s demeanor toward his or her subject. It can be enthusiastic, far off, irate, and cheerful, among numerous other possibilities. Tragically there are as well numerous possibilities for us to cover, and without knowing your subject, we cannot allow the foremost particular advice possible. The obvious pitfalls incorporate sounding condescending or silly, whereas sounding energetic and eager could be a definite positive. An angry tone is ordinarily utilized when the author needs to communicate a sense of frustration or outrage. It can take diverse forms such as passive-aggressive, protective, or sarcastic.

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Answer:

a. $1669

Step-by-step explanation:

Price in 1994 = [ (CPI in 1994) / (CPI 1973) ] * (Price in 1973) =

[ 148.2 / 44.4 ] * 500 =  1668.91891892 = $1669 rounded to the nearest dollar.

The salary during the 20th year of service will be $53,750.

To determine the salary during the 20th year of service, we can start with the initial salary and calculate the cumulative raises over the years.

Given that the starting yearly salary is $30,000 and each year the individual receives a $1,250 raise, we can calculate the salary for each subsequent year using the following formula:

Salary = Initial Salary + (Number of Years - 1) \(\times\) Raise Amount

For the 20th year of service, we substitute the values into the formula:

Salary = $30,000 + (20 - 1) \(\times\) $1,250

Simplifying the equation:

Salary = $30,000 + 19 \(\times\) $1,250

Salary = $30,000 + $23,750

Salary = $53,750.

Therefore, the salary during the 20th year of service will be $53,750.

It's important to note that this calculation assumes that the individual receives the same annual raise amount consistently every year.

Factors such as promotions, inflation, or company policies may influence the actual salary progression in practice.

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Answer:

x=-14

Step-by-step explanation:

think the number is x

According to the question

x/7+12=10

=>x+84=70 (multiply both side by 7)

=>x=70-84

x=-14

Answer:

256/81

Step-by-step explanation:

a⁻ᵇ = 1/aᵇ

(a/c)ᵇ = aᵇ / cᵇ

1/(c/d) = d/c

then:

(-3/4)⁻⁴ = 1/(-3/4)⁴ = 1/(-3⁴/4⁴) = 1/(81/256) = 256/81

The best description of the probability of drawing a king from the deck is 1 out of 13, or 1/13.

The probability of drawing a king from a standard deck of 52 playing cards can be determined by dividing the number of favorable outcomes (number of kings) by the total number of possible outcomes (total number of cards in the deck).

In a standard deck, there are 4 kings (one king for each suit: hearts, diamonds, clubs, and spades). Therefore, the number of favorable outcomes is 4.

The total number of possible outcomes is 52 (the total number of cards in the deck).

So, the probability of drawing a king is:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 4 / 52

Simplifying the fraction gives us:

Probability = 1 / 13

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Answer:

i know i have been asking lots of questions for my math because im not really good and i only get few answers.

and 2x=4 x is 2 LOL

Step-by-step explanation:

Answer:

Seriously though it makes no sense, like i come on here to get answers and give answers and half the time the answers i find are wrong or people are just trying to get points. I dont get it at all.. At least their is one good person on here!

Step-by-step explanation:

Answer: 403.75

Ate that

Work Shown:

15% of $475 = 0.15*475 = 71.25

Answer: The value of q is 7.5.

Answer:

7.5

Step-by-step explanation:

Brainliest?

95% confident that the true proportion of infested trees in the population lies between 8.5% and 12.8%.

The null hypothesis is that the proportion of infested trees in the population is equal to or less than 10%. The alternative hypothesis is that the proportion of infested trees is greater than 10%. Using a one-tailed Z-test with a significance level of 5%, we reject the null hypothesis if the calculated Z-statistic is greater than 1.645.

The sample proportion of infested trees is 160/1500 = 0.1067. The standard error of the sample proportion is sqrt(0.1067*(1-0.1067)/1500) = 0.011. The Z-statistic is (0.1067-0.1)/0.011 = 0.61, which is less than 1.645. Therefore, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that more than 10% of the trees have been infested.

To calculate the 95% confidence interval of the population proportion, we can use the formula: sample proportion ± (Z-score)(standard error). The Z-score for a 95% confidence level is 1.96. The standard error is 0.011. Thus, the 95% confidence interval is 0.1067 ± 1.960.011, which gives us the interval (0.085, 0.128). Therefore, we can be 95% confident that the true proportion of infested trees in the population lies between 8.5% and 12.8%.

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The equation of line is y = -5/2x+6

What is equation of line?

The set of points that make up a line in a coordinate system are represented algebraically by a line's equation. An equation of line is an algebraic expression that represents the many points that together make up a line in the coordinate axis as a set of variables, x, and y. We can determine whether a given point lies on a line using the equation of any line. The line's equation is a linear equation of degree one. Let's learn more about the various ways a line's equation can be expressed and how to calculate it.

The general form of the equation of a line with a slope m and passing through the point (x1,y1)

is given as: y - y1= m(x - x1).

Given, slope m = -5/2

and point = (2,1)

The equation of a line

y -1 = -5/2(x-2)

y-1 = -5/2x +5

y = -5/2x +5+1

y = -5/2 +6

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Answer:

Step-by-step explanation:

Less and Greater? I don't know what the drop down menus say. Please don't report me. Can you take a pic of drop down menus for me to see?

Therefore , the solution of the given problem of unitary method comes out to be during the 4-second period, the tram's elevation changed by 3 metres every second.

To complete the assignment, use the iii . -and-true basic technique, the real variables, and any pertinent details gathered from basic and specialised questions. In response, customers might be given another opportunity to sample expression the products. If these changes don't take place, we will miss out on important gains in our knowledge of programmes.

Here,

By dividing the overall elevation change (12 metres) by the total time required (4 seconds),

it is possible to determine the change in the tram's elevation every second. We would then have the average rate of elevation change per second.

=> Elevation change equals 12 metres

=> Total duration: 4 seconds

=>  12 meters / 4 seconds

=> 3 meters/second

As a result, during the 4-second period, the tram's elevation changed by 3 metres every second.

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Answer:

x = 85°

Step-by-step explanation:

all interior angles of a triangle add up to 180°

x = 180° - 35° - 60° = 85°

the area between the graph of the function and the x-axis over the given interval using 8 rectangles.

What is Approximations?

Approximations refer to the estimation or calculation of a value or quantity that is close to the actual or precise value but may not be exact. In various mathematical and scientific contexts, approximations are used when an exact solution or measurement is difficult or impractical to obtain.

To approximate the area between the graph of the function \(g(x) = 5x^2 + 5\) and the x-axis over the interval [1, 3] using rectangles, we can use the left and right endpoints.

First, we divide the interval [1, 3] into 8 equal subintervals, each with a width of (3 - 1) / 8 = 0.25.

Using the left endpoint approximation, we evaluate the function at the left endpoint of each subinterval and multiply it by the width of the subinterval. Then we sum up these areas to get an approximation of the total area.

Left Endpoint Approximation:

Area ≈ Δx * [g(1) + g(1.25) + g(1.5) + g(1.75) + g(2) + g(2.25) + g(2.5) + g(2.75)]

Substituting the function \(g(x) = 5x^2 + 5:\)

Area ≈ 0.25 * [g(1) + g(1.25) + g(1.5) + g(1.75) + g(2) + g(2.25) + g(2.5) + g(2.75)]

\(≈ 0.25 * [5(1)^2 + 5(1.25)^2 + 5(1.5)^2 + 5(1.75)^2 + 5(2)^2 + 5(2.25)^2 + 5(2.5)^2 + 5(2.75)^2 + 5]\)

Compute the above expression to get the approximation for the area using the left endpoint.

Similarly, using the right endpoint approximation, we evaluate the function at the right endpoint of each subinterval and multiply it by the width of the subinterval. Then we sum up these areas to get another approximation of the total area.

Right Endpoint Approximation:

Area ≈ Δx * [g(1.25) + g(1.5) + g(1.75) + g(2) + g(2.25) + g(2.5) + g(2.75) + g(3)]

Substitute the function \(g(x) = 5x^2 + 5:\)

Area ≈ 0.25 * [g(1.25) + g(1.5) + g(1.75) + g(2) + g(2.25) + g(2.5) + g(2.75) + g(3)]

\(≈ 0.25 * [5(1.25)^2 + 5(1.5)^2 + 5(1.75)^2 + 5(2)^2 + 5(2.25)^2 + 5(2.5)^2 + 5(2.75)^2 + 5(3)^2 + 5]\)

Compute the above expression to get the approximation for the area using the right endpoint.

By calculating the expressions for the left and right endpoint approximations, you can obtain two approximations of the area between the graph of the function and the x-axis over the given interval using 8 rectangles.

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Answer:

D) 4.3g

Step-by-step explanation:

It is the only one that is higher than the rest and doesn't fit the pattern, therefore it is an outlier.

Answer:

4.3g

Step-by-step explanation:

tip: wipe your camera lens off after eating pizza

The minimum number of homes the Northeast Home Builders Association should sample is approximately 6,487,904 to estimate the true mean number of days to within 10 days with 95% confidence.

To determine the minimum number of homes the Northeast Home Builders Association should sample, we need to use the formula for sample size in estimating a population mean with a specified margin of error and confidence level.

The formula is:

n = (Z * σ / E)^2

Where:

n = sample size

Z = Z-score corresponding to the desired confidence level (95% confidence corresponds to a Z-score of approximately 1.96)

σ = standard deviation of the population (unknown in this case)

E = desired margin of error (10 days)

Since the standard deviation of the population is unknown, we can use the worst-case scenario to estimate it. The worst-case scenario occurs when the standard deviation is at its maximum, which is half the range of the population. In this case, the range is 350 - 90 = 260, so the maximum standard deviation is 260 / 2 = 130.

Substituting the values into the formula:

n = (1.96 * 130 / 10)^2

n = (196 * 13)^2

n = 196^2 * 13^2

n = 38416 * 169

n = 6,487,904

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Answer:

\(y = \frac{1}{3}x + 3\)

Step-by-step explanation:

Parallel lines have same slope

y = 1/3x - 4

m =\(\frac{1}{3}\\\)    and the line passes through (-3, 2)

Equation: y - y₁ = m(x - x₁)

\(y - 2 = \frac{1}{3}(x - [-3])\\\\y -2 = \frac{1}{3}(x+3)\\\\\\y - 2 = \frac{1}{3}x+\frac{1}{3}*3\\\\y -2=\frac{1}{3}x +1\\\\y =\frac{1}{3}x + 1+2\\\\y = \frac{1}{3}x + 3\)

Answer:

x=3 and y=17

Step-by-step explanation:

Elimination Method

y =3x + 8;y = −3x + 26

Step: Solve y = 3x + 8 for y:

y=3x+8

Step: Substitute 3x + 8 for y in y=−3x+26:

y=−3x+26

3x+8=−3x+26

3x+8+3x=−3x+26+3x(Add 3x to both sides)

6x+8=26

6x+8+−8=26+−8(Add -8 to both sides)

6x=18

6x/6 = 18/6 (Divide both sides by 6)

x = 3

Step: Substitute 3 for x in y=3x+8:

y=3x+8

y=(3)(3)+8

y=17(Simplify both sides of the equation)

x=3 and y=17

Yes, Abbie will capture the moment when the candles are exactly the same height

Here we need to determine whether Abbie will capture the moment when the candles are exactly the same height in the 3 hours she has left to film, then we would need to know the rate at which the candles are burning.

According to this information would allow us to calculate how long it would take for the candles to burn down to the same height.

As we all know that the rate is a unique ratio where the two words are expressed in several units.

Here for the instance, let us consider that the price is 69 for 12 ounces if a 12-ounce can of maize costs 69.

It will clearly shows that this is not a proportion of two comparable units, like shirts.

Similarly, let us consider that the Cents and ounces are the two dissimilar units in this ratio.

Therefore, here let us assume that if we assume that the rate at which a candle burns is constant, then we can use the following formula to calculate the time it would take for the candles to burn down to the same height can be calculated as,

=> time = (height of taller candle - height of shorter candle) / (rate of taller candle - rate of shorter candle)

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