PLEASE HELP!!!! Seventeen consecutive positive integers have a sum of 306. What is the sum of the seventeen consecutive integers that immediately follow the seventeen positive integers that sum to 306?

Answer:

x > -2

Step-by-step explanation:

2(3x–1)>4x–6

Divide each side by 2

2/2(3x–1)>4x/2–6/2

3x-1 > 2x-3

Subtract 2x from each side

3x-2x-1 > 2x-3-2x

x-1 > -3

Add 1 to each side

x-1+1 > -3+1

x > -2

=======================================================

Explanation:

We have two workers, more or less. Worker A gets the job done in 5 hours. Worker B comes along to help. If A and B work together, they get the job done in 4 hours. This assumes neither worker hinders the other.

Worker A's rate is 1/5 of a job per hour. In other words, after 1 hour, 1/5 of the job is done.

The combined rate is 1/4 for similar reasoning

Worker B's rate is 1/x where x represents how long it takes worker B to get the job done on its own.

The equation to solve is

1/5 + 1/x = 1/4

Note how 1/5 and 1/x represents the sum of the individual rates to get the combined rate 1/4

To solve this equation, it helps to clear out the fractions. Multiply every term by the LCD 20x

20x(1/5 + 1/x) = 20x(1/4)

20x(1/5) + 20x(1/x) = 20x(1/4)

4x + 20 = 5x

From here you can probably see solving this is relatively easy

4x+20 = 5x

20 = 5x-4x

20 = x

x = 20

Therefore, it will take 20 hours for worker B to get the job done on its own.

Going back to the processing context, it takes 20 hours for the new processor to download the movie. This is where the new processor is working alone without help from the original processor.

----------------

Side note: downloading a movie really depends on internet speed rather than processor speed.

Answer:

-7

Step-by-step explanation:

4 + (−3 − 8)

PEMDAS

Parentheses first

4 + (-11)

Add and subtract next

-7

Answer:

first I'm using BODMAS

4+(-11)

= -7

hope it helps

Hey there! :)

Answer:

Last option. (-1, 0) and (0, 6).

Step-by-step explanation:

Solve this system by setting the two equations equal to each other:

6x + 6 = -x² + 5x + 6

Rearrange the equation:

x² + 6x + 6 - 5x - 6 = 0

Combine like terms:

x² + x = 0

Factor out x:

x(x + 1) = 0

Set each factor equal to 0:

x = 0

x + 1 = 0

x = -1

These are the x values of the solutions. Plug these into an equation to solve for y:

y = 6(0) + 6

y = 6

-------

y = 6(-1) + 6

y = -6 + 6

y = 0

Therefore, the solutions to the equation are (-1, 0) and (0, 6).

Answer:

a) P(A∩B) = 0.29

b) P1 = 0.1

c) P = 0.35

Step-by-step explanation:

Let's call A the event that the motorist stop at the first signal, and B the event that the motorist stop at the second signal.

From the question we know:

P(A) = 0.39

P(B) = 0.54

P(A∪B) = 0.64

Where P(A∪B) is the probability that he stop in the first, the second or both signals. Additionally, P(A∪B) can be calculated as:

P(A∪B)  = P(A) + P(B) - P(A∩B)

Where P(A∩B) is the probability that he stops at both signals.

So, replacing the values and solving for P(A∩B), we get:

0.64 = 0.39 + 0.54 - P(A∩B)

P(A∩B) = 0.29

Then, the probability P1 that he just stop at the first signal can be calculated as:

P1 = P(A) - P(A∩B) = 0.39 - 0.29 = 0.1

At the same way, the probability P2 that he just stop at the second signal can be calculated as:

P2 = P(B) - P(A∩B) = 0.54 - 0.29 = 0.25

Finally, the probability P that he stops at exactly one signal is:

P = P1 + P2 = 0.1 + 0.25 = 0.35

Answer:

7,273 Pesos

Step-by-step explanation:

1 Peso = $0.055

The formula below converts pesos to dollars:

1 Peso x 0.055 = $1

The formula below converts dollars to pesos:

$1/0.055= 1 Pesos

We use the second formula because we are coverting

from dollars to pesos.

$400/0.055=7,273 Pesos

Answer:

22

Step-by-step explanation:

If one Mexican peso is .055 U.S dollars that means it has a greater value than the dollar so we can make the following ratio 1:.055. But if the .055 is a 400 1:400 we just multiply to get 22.

Answer:

Let the number be x

The statement is written as

[tex] \frac{3}{7}x = \frac{29}{14} [/tex]

Multiply through by 14

That's

[tex] 14 \times \frac{3}{7} x = \frac{29}{14} \times 14[/tex]

We get

2 × 3x = 29

6x = 29

Divide both sides by 6

That's

[tex] \frac{6x}{6} = \frac{29}{6} [/tex]

[tex]x \: = \frac{29}{6} \: \: or \\ 4 \frac{5}{6} [/tex]

Hope this helps you

Answer:

60 ounces

Step-by-step explanation:

İf she can make 10 brownies with 12 ounce mix then

For 50 she would need 5 × 12 = 60 ounces

Answer:

60 oz

Step-by-step explanation:

because 12 times 5 is 60    and 10 time 5 = 50 that's why you times 5 with 12    and because 12 oz makes 10 brownies and if you want to make 50 brownies just times 12 by 5

Answer:

(1) The between groups degrees of freedom is 2.

(2) TRUE.

(3) The correct option is (a).

Step-by-step explanation:

(1)

The between groups degrees of freedom for the study is:

[tex]\text{df}_{B}=k-1\\=3-1\\=2[/tex]

Thus, the between groups degrees of freedom is 2.

(2)

The hypothesis for he one-way ANOVA is:

H₀: All the means are equal.

Hₐ: At least one of the mean is not equal.

The output of the ANOVA test is attached below.

The p-value of the test is 0.00005.

p-value = 0.00005 < α = 0.05

Thus, the result is statistically significant.

The statement is TRUE.

(3)

As the p-value of the test is less than the significance level, the researcher should make the decision to reject the null hypothesis.

The correct option is (a).

Answer:

940.8 N

1254.4 N

Step-by-step explanation:

I would think the questions would be to calculate the forces at the top of the cube and at the sides. Thus:

On the top:

F = pressure * area

P = density * gravity * height

the height would be:

1m - 0.4m = 0.6m

replacing:

P = 1000 * 9.8 * 0.6 = 5880

A = (0.4) ^ 2 = 0.16

F = 5880 * 0.16

F = 940.8 N

On the sides:

dF = d * g * h * dA

dA = 0.4 * dh replacing

dF = 1000 * 9.8 * h * 0.4 * dh

dF = 3920 * h * dh

We integrate both sides and we have:

F = 3920 * (h ^ 2/2), h = 0.6 up to h = 1

F = (3920/2) * (1 ^ 2 - 0.6 ^ 2)

F = 1254.4 N

Answer:

2049.

Step-by-step explanation:

2045 - 1983 = 62 years.

So the competition will take place in 1983 + 60 = 2043.

After 2045  the competition takes place in 2049.

Answer:

3

Step-by-step explanation:

Given  

y

=

2

x

2

−

4

x

+

3

The y-intercept is the value of  

y

when  

x

=

0

XXX

y

=

2

(

0

)

2

−

4

(

0

)

+

3

=

3

For a quadratic in the general form:

XXX

y

=

a

x

2

+

b

x

+

c

the determinant  

Δ

=

b

2

−

4

a

c

indicates the number of zeros.

Δ

⎧

⎪

⎨

⎪

⎩

<

0

==⇒  

no solutions

=

0

==⇒  

one solution

>

0

==⇒  

two solutions

In this case

XXX

Δ

=

(

−

4

)

2

−

4

(

2

)

(

3

)

<

0

so there are no solutions (i.e. no values for which the expression is equal to zero).

This can also be seen from a graph of this equation:

graph{2x^2-4x+3 [-6.66, 13.34, -0.64, 9.36]}

Answer link

Vinícius Ferraz

Nov 13, 2015

(

0

,

3

)

Explanation:

x

=

0

⇒

y

=

0

−

0

+

3

y

=

0

⇒

x

=

−

b

±

√

b

2

−

4

a

c

2

a

a

=

2

,

b

=

−

4

,

c

=

3

But  

Δ

< 0, then there is no real root  

(

x

0

,

0

)

.

Answer:

it has 2

Step-by-step explanation:

I hope this helps!

Answer:

The common difference is 1/2

Step-by-step explanation:

Data obtained from the question include:

3rd term (a3) = 0

Common difference (d) =.?

From the question given, we were told that the 7th term (a7) and the 4th term (a4) are related by the following equation:

a7 – 2a4 = 1

Recall:

a7 = a + 6d

a4 = a + 3d

a3 = a + 2d

Note: 'a' is the first term, 'd' is the common difference. a3, a4 and a7 are the 3rd, 4th and 7th term respectively.

But, a3 = 0

a3 = a + 2d

0 = a + 2d

Rearrange

a = – 2d

Now:

a7 – 2a4 = 1

Substituting the value of a7 and a4, we have

a + 6d – 2(a + 3d) = 1

Sustitute the value of 'a' i.e –2d into the above equation, we have:

–2d + 6d – 2(–2d + 3d) = 1

4d –2(d) = 1

4d –2d = 1

2d = 1

Divide both side by 2

d = 1/2

Therefore, the common difference is 1/2

***Check:

d = 1/2

a = –2d = –2 x 1/2 = –1

a3 = 0

a3 = a + 2d

0 = –1 + 2(1/2)

0 = –1 + 1

0 = 0

a7 = a + 6d = –1 + 6(1/2) = –1 + 3 = 2

a4 = a + 3d = –1 + 3(1/2) = –1 + 3/2

= (–2 + 3)/2 = 1/2

a7 – 2a4 = 1

2 – 2(1/2 = 1

2 – 1 = 1

1 = 1

Answer:

a) 21.58% probability that exactly 3 people are repeat offenders

b) 97.91% probability that at least one person is a repeat offender

c) 3.69

d) 1.83

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders

This means that [tex]p = 0.09[/tex]

41 people arrested for DUI in Illinois are selected at random.

This means that [tex]n = 41[/tex]

a. What is the probability that exactly 3 people are repeat offenders?

This is P(X = 3).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{41,3}.(0.09)^{3}.(0.91)^{38} = 0.2158[/tex]

21.58% probability that exactly 3 people are repeat offenders

b. What is the probability that at least one person is a repeat offender?

Either none are repeat offenders, or at least one is. The sum of the probabilities of these outcomes is 1. So

[tex]P(X = 0) + P(X \geq 1) = 1[/tex]

We want [tex]P(X \geq 1)[/tex].

Then

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = 0) = C_{41,0}.(0.09)^{0}.(0.91)^{41} = 0.0209[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0209 = 0.9791[/tex]

97.91% probability that at least one person is a repeat offender

c. What is the mean number of repeat offenders?

[tex]E(X) = np = 41*0.09 = 3.69[/tex]

d. What is the standard deviation of the number of repeat offenders?

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{41*0.09*0.91} = 1.83[/tex]

Answer:

b 150

Step-by-step explanation:

Answer:

6*2 = 12

Step-by-step explanation:

2 + 2 + 2 + 2 + 2 + 2 = 12

There are six 2's being added together

6*2 = 12

Answer: 2*6

Step-by-step explanation:

There are 6 2's shown in the question.  Thus, simply do 6*2.

Hope it helps <3

Answer:

39.6

Step-by-step explanation:

Given in the right angled triangle above are:

Ѳ = 49°,

Adjacent length = 26

Hypotenuse length = x

To find x in the right angled triangle given above, apply the trigonometric formula, cos Ѳ = adjacent length/hypotenuse length

Thus,

[tex] cos(49) = \frac{26}{x} [/tex]

Multiply both sides by x

[tex] cos(49)*x = \frac{26}{x}*x [/tex]

[tex] cos(49)*x = 26 [/tex]

[tex] 0.6561*x = 26 [/tex]

Divide both sides by 0.6561 to find x

[tex] \frac{0.6561*x}{0.6561} = \frac{26}{0.6561} [/tex]

[tex] x = \frac{26}{0.6561} [/tex]

[tex] x = \frac{26}{0.6561} [/tex]

[tex] x = 39.63 [/tex]

x = 39.6 (to nearest tenth)

Answer: C - 600cm^2

Step-by-step explanation:

Area of one triangle:

(12)(5) ÷ 2 = 30

Area of two triangles:

30 x 2 = 60

Area of top rectangle:

Step 1: Figure out side length of triangle by using pythagorean:

√a^2 + b^2 =  c

√(5)^2 + (12)^2 =  c

√25 + 144 = c

√ 169 = c

13 = c

Step 2: Find area of top rectangle:

(18) x (13)

234

Find area of bottom rectangle:

(18) x (12)

216

Find area of back rectangle:

(18) x (5)

90

Add all the underlined numbers:

Area of two triangles + Area of top rectangle + Area of bottom rectangle + Area of back rectangle

60 + 234 + 216 + 90 = 600cm^2

Answer:

x = 33 degrees.

Step-by-step explanation:

You can see that there is triangle ABC. There are 180 degrees in a triangle. One angle of the triangle is 42 degrees, and the other is 105 degrees. 105 + 42 = 147. The angle at point C would then be 180 - 147 = 33 degrees.

Because lines BC and DE are parallel, you can say that the 33 degree angle and the x-degree angle are the same, since they are alternate angles. Hence, the x is 33 degrees.

Answer:

L'(3, 2)

M'(0, 2)

N'(0, -2)

O'(3, -2)

Step-by-step explanation:

Vertices of a rectangle LMNO are L(-4, 6), M(-1, 6), N(-1, 2) and O(-4, 2).

If a point (x, y) is reflected across y-axis, rule to be followed,

(x, y) → (-x, y)

After reflection across y-axis new ordered pairs will be,

L(-4, 6)   → L"(4, 6)

M(-1, 6)   → M"(1, 6)

N(-1, 2)   → N"(1, 2)

O(-4, 2)  → O"(4, 2)

Then these points were translated 4 units down and 1 unit left,

Rule to be followed for the translation will be,

(x'', y'') → [(x' - 1), (y' - 4)]

By this rule vertices of the rectangle after translation will be,

L''(4, 6) → L'(3, 2)

M''(1, 6) → M'(0, 2)

N''(1, 2) → N'(0, -2)

O''(4, 2) → O'(3, -2)

Answer:

L'(3, 2)

M'(0, 2)

N'(0, -2)

O'(3, -2)

Step-by-step explanation:

Answer:

b. 11 apples; 1 orange

Step-by-step explanation:

We test each option, and see if the total is $3.50(what you spend). If the result is different, it is not a possible solution.

a. 1 apple; 11 oranges

1 apple for $0.20

11 oranges for $0.30 each

0.20 + 11*0.30 = $3.50

Possible solution

b. 11 apples; 1 orange

11 apples for $0.20 each

1 orange for $0.30

11*0.2 + 0.3 = 2.5

Not $3.5, so this is not a possible solution.

This is the answer

c. 7 apples; 7 oranges

7*0.2 + 7*0.3 = $3.5

Possible

d. 4 apples; 9 oranges

4*0.2 + 9*0.3 = $3.5

Possible

Answer:

Raining Company and Tanning Company

An Uncollectible Expense of $17,500 will be credited to the Allowance for Doubtful Accounts to bring the credit balance to $20,000.

Step-by-step explanation:

Since the accounts receivable balance is $200,000, there is nothing to do with the credit sales of $1,300,000.

The Allowance for Doubtful Accounts after adjustment should have a credit balance of $20,000 ($200,000 x 10%).

With a credit balance of $2,500 before adjustment, it will be adjusted (credited) with Uncollectible Expense of $17,500.  This brings the adjusted balance to $20,000 which represents 10% of the accounts receivable balance of $200,000.

Note that the Allowance for Doubtful Accounts is a contra (credit) account to the Accounts Receivable account.  This allowance is a way to prudently provide for credit risk as required by Generally Accepted Accounting Principles.

Answer:

CI: {0.4085; 0.6647}

Step-by-step explanation:

The confidence interval for a proportion (p) is given by:

[tex]p \pm z*\sqrt{\frac{(1-p)*p}{n} }[/tex]

Where n is the sample size, and z is the z-score for the desired confidence interval. The score for a 90% confidence interval is 1.645. The proportion of depositors who ask for cash back is:

[tex]p=\frac{22}{41}=0.536585[/tex]

Thus the confidence interval is:

[tex]0.536585 \pm 1.645*\sqrt{\frac{(1-0.536585)*0.536585}{41}}\\0.536585 \pm 0.128109\\L=0.4085\\U=0.6647[/tex]

The confidence interval for the proportion of all depositors who ask for cash back is CI: {0.4085; 0.6647}

Answer:

B. -1.

Step-by-step explanation:

[tex]i^1[/tex] = i

[tex]i^2 = -1[/tex]

[tex]i^3 = -i[/tex]

[tex]i^4 = 1[/tex]

...And it keeps going in a pattern, from i to -1 to -i to 1. And so, we have four values.

34 / 4 = 8 with a remainder of 2. That means that the value of [tex]i^{34}[/tex] is the same thing as [tex]i^2\\[/tex], so it is B. -1.

Hope this helps!

Answer:

7). y = 140

8). x = 9

Step-by-step explanation:

Question (7).

All-right pencil factory will produce the graphite pencils, table formed will represent a linear graph.

Three points on the graph are (12, 42) and (18, 63), (40, y)

Slope of the line passing through these points = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{63-42}{18-12}[/tex] = [tex]\frac{y-42}{40-12}[/tex]

[tex]\frac{21}{6}[/tex] = [tex]\frac{y-42}{40-12}[/tex]

3.5 = [tex]\frac{y-42}{40-12}[/tex]

98 = y - 42

y = 140

Question (8),

If a bicyclist rides at a constant rate, table formed will represent a linear graph.

Slope of a line passing through three points (2, 25), (5, 62.5) and (x, 112.5) given in the table,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{62.5-25}{5-2}=\frac{112.5-62.5}{x-5}[/tex]

[tex]\frac{37.5}{3}=\frac{50}{x-5}[/tex]

37.5x - 187.5 = 150

37.5x = 337.5

x = 9

Answer:

First one is (x+2.4)

Second one is 4(x+2.4)=14.8

Step-by-step explanation:

Answer:

What expression would represent how far Bijan runs everyday?

✔ (x + 2.4)

What is the equation that represents his total distance after 4 days?

✔ 4(x + 2.4) = 14.8

Step-by-step explanation: I TOOK THE TEST

Answer:

so

slope is calculated this way:

[tex] \frac{3 - 6}{2 - 1} = \frac{ - 3}{1} = - 3[/tex]

let's calculate y init by:

3 = -3×2 + b

b = 9

so equation is:

y=-3x+9

Answer:

Remote interior angle

Step-by-step explanation:

<Y is a remote (non-adjacent) interior angle for <w.

━━━━━━━☆☆━━━━━━━

▹ Answer

Remote Interior Angle

▹ Step-by-Step Explanation

∠Y is a non-adjacent interior angle for ∠W.

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

Domain is all real numbers or (negative infinity, positive infinity)

Step-by-step explanation:

Domain is all values of x (inputs) that will work with the function. Since a parabola has no limits for x, and all numbers work for x, then the domain can be any number. That leaves us with All Real Numbers as our answer.

Answer:

c = 6.25

Step-by-step explanation:

We are given the following piecewise function:

[tex]\left \{ {{cx^{2} + 2x, x < 3} \atop {3x^{3} - cx, x \geq 3}} \right[/tex]

Continuous function:

A function f(x) is continuous, at a point a, if:

[tex]\lim_{x \to a} f(x)[/tex] exists and [tex]\lim_{x \to a} f(x) = f(a)[/tex]

In this question:

Piece-wise function, so we have to verify if the limit exists.

The function changes at x = 3. So we verify at a = 3.

It will exist if:

[tex]\lim_{x \to 3^{-}} f(x) = \lim_{x \to 3^{+}} f(x)[/tex]

To the left:

Less than 3.

[tex]\lim_{x \to 3^{-}} f(x) = \lim_{x \to 3^{-}} cx^{2} + 2x = c*(3)^{2} + 2*3 = 9c + 6[/tex]

To the right:

Greater than 3.

[tex]\lim_{x \to 3^{+}} f(x) = \lim_{x \to 3^{+}} 3x^{3} - cx = 3*3^{3} - 3c = 81 - 3c[/tex]

f continuous:

They have to be equal:

[tex]\lim_{x \to 3^{-}} f(x) = \lim_{x \to 3^{+}} f(x)[/tex]

[tex]9c + 6 = 81 - 3c[/tex]

[tex]12c = 75[/tex]

[tex]c = \frac{75}{12}[/tex]

[tex]c = 6.25[/tex]