What is the slope of the line represented by the equation f(t)=2t−6? the slope is 2 and the y-intercept is −6. the slope is −6 and the y-intercept is 2. the slope is 2 and the y-intercept is 6. the slope is 6 and the y-intercept is 2.

Answer:

3:9=2:6

Step-by-step explanation:

(9×2)/3=18/3=6

Answer:

3 : 9 = 2 : 6

Answer:

1: No, this is not direct variation

2: Yes, this is direct variation with k= 2.34

Step-by-step explanation:

I’m Just Built Different

We can start by creating a table to organize the information:

                  Likes Chocolate (c) Does Not Like Chocolate (~c) Total

Likes Sprinkles (s) 0.25                                                           0.40

Does Not Like Sprinkles (~s)            0.60

Total 0.70                                               0.30                       1.00        

We are given that 40% of friends like sprinkles, so we can fill in that cell of the table. We are also given that 25% of friends who like chocolate also like sprinkles, so we can fill in the cell for likes chocolate and likes sprinkles as 0.25.

To find the proportion of friends who like sprinkles and chocolate, we need to divide the number of friends who like both by the total number of friends who like sprinkles:

proportion = likes chocolate and sprinkles / likes sprinkles

proportion = 0.25 / 0.40

proportion = 0.625

So, approximately 62.5% of friends who like sprinkles also like chocolate.

The least number of hours Jose can work and still afford the bike is 6 hours.

To determine the least number of hours Jose needs to work, we can use the given inequality: 20h + 104 ≥ 224.

1. Start with the given inequality: 20h + 104 ≥ 224.

2. Subtract 104 from both sides of the inequality to isolate the term with the variable: 20h ≥ 120.

3. Divide both sides of the inequality by 20 to solve for h: h ≥ 6.

4. The result, h ≥ 6, means that Jose needs to work at least 6 hours to afford the bike.

5. If Jose works for 6 hours, he will earn 6 hours × $20 per hour = $120.

6. Adding his current savings of $104 to his earnings, he will have a total of $120 + $104 = $224, which is enough to afford the bike.

7. Therefore, working for at least 6 hours will allow Jose to afford the bike.

In summary, by solving the inequality and determining that h ≥ 6, we find that the least number of hours Jose needs to work to afford the bike is 6 hours.

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Answer:

7

Step-by-step explanation:

4y²-106=90

4y²=90+106

4y²=196

4y²/4=196/4

y²=49

y=√49

y=7

Answer: x² + 4x +3=0

Step-by-step explanation:

Add 4x to both sides.

The cοrrect answer is οptiοn B, t-statistic =1.841, p-value= 0.0748 there is nοt suffient evidence tο reject the null hypοthesis.

The null hypοthesis is a sοrt οf suppοsitiοn used in statistical tests, which are fοrmal prοcedures fοr drawing inferences οr taking judgements based οn evidence. Based οn a sample οf the pοpulatiοn, the hypοtheses are suppοsitiοns regarding a statistical mοdel οf the pοpulatiοn. In οrder tο distinguish between statistical nοise and scientific claims, tests, which are fundamental cοmpοnents οf statistical inference, are frequently utilised in the interpretatiοn οf scientific experimental data.

The null hypοthesis is the prοpοsitiοn under cοnsideratiοn in a test οf statistical significance. Tο evaluate the strength οf the evidence cοntradicting the null hypοthesis, the significance test is used. A claim οf "nο effect" οr "nο difference" is the null hypοthesis. Frequently, H0 is used tο represent it. The alternative hypοthesis is the assertiοn being examined in relatiοn tο the null hypοthesis. Included are symbοls H1 and Ha.

Marcellο's Pizza, Mean – 11.25, Varience- 10.1974, Standard deviatiοn – 3.1933, n- 20

Pizza a Gο-Gο,  Mean – 9.6, Varience – 4.4, Standard deviatiοn – 2.0976 , n – 15

H0  - u1=u2 , Ha – u1≠u2

Test Statistics =(11.25-9.6)/ (√ {(3.1933 ×3.1933)÷20}+√{(2.097×2.097)÷15 }

=1.841

P-value = 2p (±≥1.841) ≈0.0748>0.05

Sο there is nοt sufficient evidence tο reject the null hypοthesis.

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Their corresponding side's ratio will not change. Then, x has a value of 4.

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes.

ABC refers to a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

With three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object.

A polygon also includes a triangle.

Triangle ABC is shown in the image above.

So, it is made up of two triangles: DEF and XYZ.

The similarity between the DEF and XYZ is assumed.

When it happens, the ratio of their corresponding side will not change. Which is:
5/10 = 2x-1/14 = 11/5x+2

The first two are what we have.

5/10 = 2x-1/14

Then, we have:
x = 4

Therefore, their corresponding side's ratio will not change. Then, x has a value of 4.

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Correct question:

Find the value of x that makes Triangle DEF~ triangle XYZ.

Answer:

c=5

Step-by-step explanation:

4(c-3)=8 Distribute

4c-12=8 Add 12 to both sides

4c=20 Divide by 4 on both sides

c=5

Answer:

Step-by-step explanation:

METHOD 1:

4(c - 3) = 8    |divide both sides by 4

4(c - 3)/4 = 8/4

c - 3 = 2     |add 3 to both sides

c - 3 + 3 = 2 + 3

c = 5

METHOD 2:

4(c - 3) = 8     |use the distributive property: a(b - c) = ab - ac

4 · c - 4 · 3 = 8

4c - 12 = 8      |add 12 to both sides

4c - 12 + 12 = 8 + 12

4c = 20     |divide both sides by 4

4c/4 = 20/4

c = 5

Answer:

\(588mm^3\)

Step-by-step explanation:

Each side of the blue pyramid is 3 times the size of the red pyramid.

Instead of just dividing by 3 for the volume we must divide by 9 instead because we're working in cubes.

Answer:

Er you just multiply by 9.

Step-by-step explanation:

1*9 = 9

3*9=27

1*9=9

27*9=243

The answer:

x: 9

y: 81, 3

x*3

y/3

The value of x is approximately 2.8462° and the value of maN is 37°.

To find the value of x and maN, we need to use the given information. According to the question, maN is equal to (13x)°.
To solve for x, we can set up an equation:
maN = (13x)°
Now, since we know that maN is equal to 37°, we can substitute this value into the equation:
37° = (13x)°
To isolate x, we divide both sides of the equation by 13:
37° / 13 = (13x)° / 13
This simplifies to:
2.8462° ≈ x°
Therefore, the value of x is approximately 2.8462°.
Now, let's find the value of maN. We already know that maN is equal to (13x)°. Substituting the value of x that we just found, we get:
maN = (13 * 2.8462)°
Simplifying the multiplication:
maN = 37°
So, the value of maN is 37°.
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Answer:

False

Step-by-step explanation:

Answer come only two

a. Probability of a pregnancy lasting less than 260 days:

To compute the probability, we need to standardize the value using the z-score formula:

z = (260 - 266) / 16

z = -0.375

Using a standard normal distribution table or a calculator, we find that the area to the left of z = -0.375 is approximately 0.3520.

b. Sampling distribution of the sample mean:

The mean of the sampling distribution is the same as the population mean: 266 days.

The standard deviation of the sampling distribution (standard error of the mean) is calculated by dividing the population standard deviation by the square root of the sample size:

Standard deviation = 16 / sqrt(20) ≈ 3.577

c. Probability of a sample mean of 260 days or less (sample size = 20):

Again, we need to standardize the value using the z-score formula:

z = (260 - 266) / (16 / sqrt(20))

z ≈ -1.77

Using the standard normal distribution table or a calculator, we can find the area to the left of z = -1.77.

d. Probability of a sample mean of 260 days or less (sample size = 50):

Similarly, we standardize the value:

z = (260 - 266) / (16 / sqrt(50))

z ≈ -3.54

Using the standard normal distribution table or a calculator, we can find the area to the left of z = -3.54.

e. Conclusions for a sample mean of 260 days or less (sample size = 50):

If the sample mean is 260 days or less, it would suggest that the sample mean is lower than the population mean. However, further analysis would be necessary to draw any definitive conclusions about the population.

Probability of a sample mean within 10 days of the population mean (sample size = 15):

We calculate the z-scores for the lower and upper bounds:

Lower bound z = (266 - 10 - 266) / (16 / sqrt(15))

Upper bound z = (266 + 10 - 266) / (16 / sqrt(15))

Then, using the standard normal distribution table or a calculator, we find the area between these z-scores.

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The maximum earning is v(r,b)

Let v(r,b) be the expected value of the game for the player, assuming optimal play, if the remaining deck has r red cards and b black cards.

Then v(r,b) satisfies the recursion

and

The stopping rule is simple: Stop when v(r,b)=0.

To explain the recursion . . .

If r,b>0, and the player elects to play a card, then:

Thus, if r,b>0, electing to play a card yields the value f(r,b).

But the player always has the option to quit, hence, if r,b>0, we get v(r,b)=max(0,f(r,b)).

Implementing the recursion in Maple, the value of the game is

v(26,26)=41984711742427/15997372030584

v(26,26)  ≈2.624475549

and the optimal stopping strategy is as follows . . .

So, The maximum earning is v(r,b)

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Answer:X + Y ≥ 4

$2.20X + $2.95Y ≤ $10.00

Strawberries cost $2.20 per pound

Raspberries cost $2.95 per pound

Jada only has $10.00 to spend

She wants to buy at least 4 pounds

Assumption: She buys X pounds of strawberries and Y pounds of raspberries.

Solution:

Number of pounds can't be less than 4

i.e X + Y ≥ 4

The cost of buying strawberries and raspberries has to be $10.00 or less than $10.00

i.e $2.20X + $2.95Y ≤ $10.00

So the system of equations is;

X + Y ≥ 4

$2.20X + $2.95Y ≤ $10.00

Step-by-step explanation:

Hopefully this helped, if not HMU and I will get you a better answer.

-Have a great day! :)

Answer:

Step-by-step explanation:

B. Point B

Answer:

$74.40 cents

Step-by-step explanation:

Given the following question:

20% of 62

In order to find the answer, we use the formula to calculate percentage, then we add that answer onto the bill.

\(\frac{p\times n}{100}\)
\(\frac{20\times62}{100} =20\times62=1240\div100=12.4\)
\(=12.4\)

Now add:
\(62+12.40=74.40\)
\(=74.40\)

Which means in total after a 20% tip the Smiley family paid "$74.40 cents" for their meal.

Hope this helps.

if the test statistic falls outside this range, we would reject the null hypothesis and conclude that students take more than 2 classes per quarter on average.

The rejection region is the set of values that, if the test statistic falls within it, would lead us to reject the null hypothesis. In this case, the null hypothesis is that students take an average of 2 classes per quarter.

To determine the rejection region, we need to find the critical value corresponding to the given significance level. Since alpha is 0.01 and the sample size is 16, we can use the t-distribution with n-1 degrees of freedom.

Using a t-distribution table or calculator, we find that the critical value for a two-tailed test at alpha = 0.01 and 15 degrees of freedom is approximately ±2.947.

The rejection region consists of the values outside the interval (-∞, -2.947) and (2.947, ∞).

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Explanation:

2/3 of 150 = (2/3)*150 = 100 employees are male and 150-100 = 50 employees are female. This is before the resignations.

After the resignations happen, we would have:

The chances of picking a female employee at random would be 40/120 = 1/3 which is the final answer.

Notice how the chances haven't changed from earlier (male = 2/3 chance, so 1-2/3 = 1/3 are the chances of picking a woman). Why is this? Well notice the ratio of 20 men to 10 women resigning. This ratio is 2:1, meaning twice as many men resigned. Furthermore, notice how 2/3 is twice that of 1/3.

This keeps the same proportion of men to women. Therefore, the odds haven't changed.

it is seen that if the number of people in the group is n = 23, the probability that at least two people will have the same birthday is at least 1/2.

Let P(A) be the probability that in a randomly selected group of n people, at least two people have the same birthday.

If we assume that the year has 365 days, then the number of ways to select n people with different birthdays is n x (n-1) x (n-2) x ... x (n-364).

the probability of selecting n people with different birthdays is P(A') = n(n - 1)(n - 2)...(n - 364)/365nThen, the probability that at least two people in a group of n have the same birthday is given by P(A) = 1 - P(A').

We need to find the smallest value of n such that P(A) ≥ 1/2.Let's solve for this.Let us find n such that P(A) ≥ 1/2.

By using the complement rule, 1-P(A') = P(A).Then:1 - n(n - 1)(n - 2)...(n - 364)/365n ≥ 1/2n(n - 1)(n - 2)...(n - 364)/365n ≤ 1/2(2)n(n - 1)(n - 2)...(n - 364) ≤ 365n/2Now, take the natural logarithm of both sides and simplify as follows:ln[n(n - 1)(n - 2)...(n - 364)] ≤ ln[365n/2]nln(n) - ln[(n - 1)!] - ln[(n - 2)!] - ... - ln[2!] - ln[1!] ≤ ln[365n/2]

Therefore, we need at least 23 people in the group for the probability of two or more people having the same birthday to be at least 1/2.

This is because n = 23 is the smallest number for which the inequality holds, and therefore, it is the smallest number of people required to ensure that the probability of two or more people having the same birthday is at least 1/2.

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Answer:

d = w + 3 (first equation)

2d = 2w + 3 (second equation).

The second equation is equivalent to the first one.

In other words, two equations carry the same information as the first one, not more.

In the language of linear algebra, the system is dependent

7-(-4) is 4 units from 7 in the negative direction.

The number line keeps going both ways. You can include 6, 7, and so on, all the way up to the hundreds, thousands, and beyond, because the set of natural numbers only extends to the right.

A number line is a diagram that shows numerical values along a straight line that can be drawn either horizontally or vertically. It's simple for us to compare and compute basic arithmetic operations on numbers when they are written down on a number line. A number line's origin is typically thought to be zero (zero). There are only positive numbers to the right of zero and only negative numbers to the left of zero.

therefore,

7 - (-4)

= 7 + 4

= 11

when we simplify the expression we get the answer as 11 units

the result is that 11 units is 4 units away from 7 in a negative direction.

Hence we get the complete sentence.

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Answer:

Answer : 21 - 20i

Step-by-step explanation:

\( {(2 - i)}^{4} = (2 - i) {}^{2} (2 - i) {}^{2} \\ \\ = (4 - 2i - {i}^{2} )(4 - 2i - {i}^{2} )\)

remember i² is -1 :

\( = (4 - 2i - ( - 1))(4 - 2i - ( - 1)) \\ = (5 - 2i)(5 - 2i) \\ \\ = (25 - 20i + 4 {i}^{2} ) \\ = (25 - 20i + 4( - 1)) \\ = (25 - 20i - 4) \\ = 21 - 20i\)

Answer:

8 - 4i

Step-by-step explanation:

(2- i)4

= (2 × 4 - 4 × i)

= 8 - 4i

Answer:

t = -11

Step-by-step explanation:

Solve for t:

-3 t - 8 = 25

Add 8 to both sides:

(8 - 8) - 3 t = 8 + 25

8 - 8 = 0:

-3 t = 25 + 8

25 + 8 = 33:

-3 t = 33

Divide both sides of -3 t = 33 by -3:

(-3 t)/(-3) = 33/(-3)

(-3)/(-3) = 1:

t = 33/(-3)

The gcd of 33 and -3 is 3, so 33/(-3) = (3×11)/(3 (-1)) = 3/3×11/(-1) = 11/(-1):

t = 11/(-1)

Multiply numerator and denominator of 11/(-1) by -1:

Answer:  t = -11

\( - 3t + ( - 8) = 25\)

\( - 3t - 8 = 25\)

\( - 3t = 25 + 8 \\ - 3t = 33 \\ t = \frac{33}{ - 3} \longrightarrow \frac{ \cancel{33}}{ \cancel{ - 3} } = \frac{11}{ - 1} \\ t = - 11\)

\( - 3( - 11) + ( - 8) = 25 \)

Distributing or multiplying both negative, we would get positive.

\(33 - 8 = 25 \\ 25 = 25 \: \: \purple{ \checkmark}\)

The equation is true for t = -11. Hence the answer is t = -11.

\( \large \boxed{t = - 11}\)

If you have any questions about the answer, feel free to ask via comment.

Answer:

g(x) = x² - 3

Step-by-step explanation:

A quadratic function has been given as,

f(x) = x²

If the function f is translated by 'h' unit down over the y-axis, the new function obtained by the translation is,

g(x) = x² - h

From the graph attached, h = 3 units (shift of 3 units downwards)

Therefore, g(x) = x² - 3 will be the translated version of f(x).

What is the value of the expression below?

\([24 + 9 – (4 \times 2) + 11] ÷ 2\)

↓

\([24 + 9 – (8) + 11] ÷ 2\)

\([33-(8) + 11] ÷ 2\)

\([25+ 11] ÷ 2\)

\(36 ÷ 2 = 18\)

Answer:To evaluate the exponential expression 6(4+2)² - 32, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

First, we simplify the expression inside the parentheses:

4 + 2 = 6

Next, we square the result:

6² = 36

Now, we substitute the squared result back into the expression:

6(36) - 32

Next, we perform the multiplication:

6 * 36 = 216

Finally, we subtract 32:

216 - 32 = 184

Therefore, the value of the given exponential expression 6(4+2)² - 32 is 184.

To determine the total grade we mutiply each one by the percentage it represents of the overall grade in decimal form and add them, that is:

Therefore, the overall grade is 69