solve the equation 4x^2-27x-5=-10x to the nearest tenth

Answer:

hope this helps

Step-by-step explanation:

Answer:

=−71/3

Step-by-step explanation:3

+

1

−

6

=

7

2

{\color{#c92786}{3x}}+1{\color{#c92786}{-6x}}=72

3x+1−6x=72

−

3

+

1

=

7

2

{\color{#c92786}{-3x}}+1=72

−3x+1=72

2

Subtract

1

1

1

from both sides of the equation

−

3

+

1

=

7

2

-3x+1=72

−3x+1=72

−

3

+

1

−

1

=

7

2

−

1

-3x+1{\color{#c92786}{-1}}=72{\color{#c92786}{-1}}

−3x+1−1=72−1

3

Simplify

Subtract the numbers

Subtract the numbers

−

3

=

7

1

-3x=71

−3x=71

4

Divide both sides of the equation by the same term

−

3

=

7

1

-3x=71

−3x=71

−

3

−

3

=

7

1

−

3

−3−3x​=−371​

5

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=−71/3

x=-\frac{71}{3}

x=−371​

Answer:

Expected amount = $1.50

Step-by-step explanation:

Let's get a couple of definitions out of the way to understand how to compute the expected value given probabilities

Random Variable is a set of possible values from a random experiment.
We usually denote a random variable using the sets of possible values that the variable can take.

When we toss a fair die, the probability of getting a single number = 1/6 since there are 6 possible outcomes

The probability of getting 2 given numbers say 1 or 2 is twice 1/6 = 2 x 1/6 = 2/3 and so on

The expected value of each outcome is the value attached to each outcome x probability of that outcome

As an example, P(1 or 2) = 2/6 = 1/3

Payout = $3

Expected payout = 3 x 1/3 = $1

The table below summarizes the outcomes, probabilities, payouts and expected payouts

Outcome             Probability              Payout              Expected Payout
                                                                                     (Payout x probability)

X = {1 or 2}            2/6 = 1/3                  $3                     $3 x 1/3 = $1

X = {3}                       1/6                       $5                     $5 x 1/6 = $5/6

X = {4 or 5}           2/6 = 1/3                  $0                      $0 x 1/3 = $0

X = {6}                        1/6                      -2$                     -$2 x 1/6 = -$2/6

The expected payout in the long run is the sum of the individual expected payouts

= $1 + $5/6 + $0 - $2/6    (5/6 - 2/6 = 3/6)

= $1 + $3/6             (3/6 = $0.50)

= $1 + $0.50

= $1.50

The expected value of the game is $2. This means that if you play the game many times, you can expect to win an average of $2 per game in the long run.

It is a branch of mathematics that deals with the occurrence of a random event.

To determine whether you should play the game, we need to calculate the expected value of the game.

The expected value is the sum of the product of each outcome and its probability.

The outcomes and their corresponding probabilities are:

Win $3 with probability 1/3 (if the number is 1 or 2)

Win $5 with probability 1/6 (if the number is 3)

Win $0 with probability 2/6 = 1/3 (if the number is 4 or 5)

Lose $2 with probability 1/6 (if the number is 6)

Using these probabilities and outcomes, we can calculate the expected value as:

Expected value = (3 × 1/3) + (5 × 1/6) + (0 × 1/3) + (-2 × 1/6)

= 1 + 5/6 - 1/6

= 1.666

= 2

Hence, the expected value of the game is $2. This means that if you play the game many times, you can expect to win an average of $2 per game in the long run.

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Ok so I am not exactly sure if you want to know how many whole cups can be added or simply how many 2/3 cups make up 10, but heres what I found.

So to find how many 2/3 is in 10 cups you simply have to divide

10/(2/3) = 15

So 10 cups of flour is 15 (2/3) cups of flour.

Hope this helps :)

Answer:

C

Step-by-step explanation:

The height of the door is given as 10 feet. The bottom 1/2 has a height of 5 feet.

The width of one door = 12/2 = 6 feet.

The value for x^2 = 5^2 + 6^2

x^2 = 25 + 36

x^2 = 61

sqrt(x^2) = sqrt(61)

x = 7.81

The closest value = 8

The probability that at least 1 slab is defective is 0.55103 or about 55.1%.

Given that a batch of 15 granite slabs is mined, and 4 have defects.

The manager spot-checks 3 slabs at random.

We need to find the probability that at least 1 slab is defective.

We can find this probability using the complement rule.

The complement of the probability that at least 1 slab is defective is that no slab is defective.

We can use the following formula:

P(at least 1 defective) = 1 - P(none defective)

Now, the probability that the first slab is not defective is 11/15.

The probability that the second slab is not defective is 10/14 = 5/7.

The probability that the third slab is not defective is 9/13.

So, the probability that none of the 3 slabs are defective is:

P(none defective) = (11/15) × (5/7) × (9/13) = 0.44897

Using the complement rule,

P(at least 1 defective) = 1 - P(none defective) = 1 - 0.44897= 0.55103

Therefore, the probability that at least 1 slab is defective is 0.55103 or about 55.1%.

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Answer:

A

Step-by-step explanation:

The secant- tangent angle 78° is half the difference of the intercepted arcs

\(\frac{1}{2}\) (204 - x) = 78 ( multiply both sides by 2 )

204 - x = 156 ( subtract 204 from both sides )

- x = - 48 ( multiply both sides by - 1 )

x = 48

Answer:

A.) 48

Step-by-step explanation:

I got it correct on founders edtell

Answer:

x = 2/3

Step-by-step explanation:

Answer:

X=2/3 answer this is of your question

Answer:

13

Step-by-step explanation:

You take the number of miles from weeks 5-8 and add them up. 2+3+4+4=13

Answer:

Step-by-step explanation:

37/100 = 0.37

21/100 = 0.21

29/100 = 0.29

0.2, 0.21, 0.22, 0.23, 0.24, 0.25, 0.26, 0.27, 0.28, 0.29, 0.3, 0.31, 0.32, 0.33, 0.34, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39, 0.4

Hope this helps!

Step-by-step explanation:

1. 37/100 would be 7 spots to the right of 0.3. This is because .3 is also .30. When we have N/100, that 100 is usually 1 and any number below 100 is a decimal. So since we want 37/100, we would put it 7 spaces to the right of .3

2. 21/100 will be 1 space to the right of .2. This is because .2 also represents .20. If we want 21/100, we are also looking for .21, so we would put the dot 1 space to the right of .2

3. 29/100 would go 1 space to the left of .3. This is because .3 also represents .30. If we want .29, we will subtract .30 from .29. This will give us 1 because 29 and 30 are 1 apart. So we would put the dot 1 space away from .3

Answer:

i dont know i think (-6,0)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

3,0

Step-by-step explanation:

Answer:

B. 60%

Step-by-step explanation:

Formula to be used:

Percent of Increase/Decrease = Final Price ÷ Original Price x 100

Substitute

510 ÷ 850 = 0.6

Turn into percentage

0.6 x 100 = 60%

Answer: There are two real roots

Step-by-step explanation: Terms in this set (6) If the discriminant of a quadratic equation is 4, which statement describes the roots? B. There are two real roots.

As of discriminant of the quadratic equation is 4, then we find that there two real and distinct roots.

In a quadratic equation, the discriminant of the quadratic formula indicates the nature of the two roots of the polynomial. Main characteristics are described below:

According to the statement, the discriminant of the quadratic equation is 4, then we find that there two real and distinct roots.

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The correlation coefficient between the student's height and the distance they were able to jump is -1.13.

To compute the correlation coefficient (r) between the person's height and the distance they were able to jump, we need to use the given formula:

\(r = \sum (xi - \bar x)(yi -\bar y) / \sqrt{(\sum (xi - \bar x)^2 * \sum (yi -\bar y)^2)\)

Where:

In our case,

\(\bar x\) = 64.44

\(\bar y = 6.06\)

Square the differences and sum them:

\(\sum ((xi -\bar x)^2) =307.84\\\\\sum ((yi -\bar y )^2) = 2.7224\)

Calculate the correlation coefficient using the formula:

\(r = -32.63 / \sqrt{(307.84 * 2.7224)}\\\\r = -32.63 / \sqrt{838.74158}\\\\\r = -32.63 / 28.96\\\\r = -1.128\)

Therefore, the correlation coefficient (r) for the linear fit between height and jump distance is approximately -1.13.

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Answer:

1

Step-by-step explanation:

it is about 90 degree thats why

The polynomial function \(\(f(x) = 2(x^2+3)(x+1)^2\)\) has zeros at -3 with multiplicity 1, and -1 with multiplicity 2. The graph of the function crosses the x-axis at -3 and -1.

To find the zeros and their multiplicities, we set \(\(f(x)\)\) equal to zero and solve for \(\(x\).\)

Setting \(\(f(x) = 0\),\) we have:

\(\[2(x^2+3)(x+1)^2 = 0\]\)

Since the product of two factors is zero, at least one of the factors must be zero. Thus, we solve for \(\(x\)\) in each factor separately:

1. \(\(x^2 + 3 = 0\):\)

  This equation does not have real solutions since the square of a real number is always non-negative. Therefore, this factor does not contribute any real zeros.

2. \(\(x + 1 = 0\):\)

  Solving for \(\(x\), we find \(x = -1\).\) This gives us a zero at -1 with multiplicity 1.

Since the factor \(\((x+1)^2\)\) is squared, the zero -1 has a multiplicity of 2.

Therefore, the zeros for the polynomial function are -3 with multiplicity 1 and -1 with multiplicity 2. The graph of the function crosses the x-axis at both zeros.

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Answer:

65.1 km/hr

Step-by-step explanation:

The car travelled 217km in 3 hours and 20 minutes.  We can divide the km by the time to obtain a speed that is km per a time value.  If we would like it expressed as km/hour, we will need to convert the 20 minutes into hours.

20 minutes is (20 minutes)*(1 hour/60 minutes) = (1/3) hour

The total time to travel 217km is 3 and 1/3, or (10/3)  hours.

The speed is (217 km/((10/3) hours)

Speed = 65.1 km/hr

Answer:

Step-by-step explanation:

182

The 90% confidence interval is: (2.51, 3.22)

It is a boundary of values which is eventually to comprise a population value with a certain degree of confidence. It is usually shown as a percentage whereby a population means lies within the upper and lower limit of the provided confidence interval.

We have the following information :

The level of significance is calculated as:

\(\alpha =1-c\\\\\alpha =1-0.90\\\\\alpha =0.10\)

The degrees of freedom for the case is:

df = n - 1

df = 15 - 1

df = 14

The 90% confidence interval is calculated as:

=x(bar) ±\(t_\frac{\alpha }{2}\), df \(\frac{s}{\sqrt{n} }\)

= 2.86 ±\(t_\frac{0.10 }{2}\), 14 \(\frac{0.78}{\sqrt{15} }\)

= 2.86 ± 1.761 × \(\frac{0.78}{\sqrt{15} }\)

= 2.86 ± 0.3547

= (2.51, 3.22)

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Answer:

It is the first graph

Step-by-step explanation:

The line under the > and < sign means that it must include the 3 and the 0.  The closed circle is showing that the 3 and 0 or included.

Answer:

60 minute equals to 1 hour

Answer:

Step-by-step explanation:

I'll give a couple answers so you get the gist of things.

All you have to do is substitute 1/2 for x and 3/4 for y.

Ex - 30. x × y = 1/2 × 3/4 = 3/8

I think it is 1/8 I'm not sure.

Answer:

2 1/4

Step-by-step explanation:

Answer:

31,38,45

Step-by-step explanation:

Answer:

31, 38, & 45

Step-by-step explanation:

The sequence 10, 17, 24 increases by 7 each term.

10 + 7 = 17

17 + 7 = 24

24 + 7 = 31

31 + 7 = 38

38 + 7 = 45

I got warned on this question for saying possible answers lol

its 8

Since there is a negative on the y term, we need to get rid of that and thus flip the sign at the same time. Getting.

-43>8/3y

Now we just need to divide 8/3 on both sides dividing 8/3 on left can also be written as *3/8

-43*3/8>y

Now flip this entire equation

y<-43*3/8

y<-129/8

If your teacher want you to calculate just divide the fraction, but I recommend not to if your teacher don't ask for it and just leave it this way.

Hope it helps! :D

There are 2.814 × 10⁵⁹ ways for the 100 pages to be assigned to the four printers

We have two color printers and two black-and-white printers. The first and last pages have to be printed in color, which means we can assign them to either of the two color printers in 2 ways.

The remaining 98 pages can be assigned to any of the four printers, so there are 4 choices for each page. Thus, the total number of ways to assign the 100 pages to the four printers is:

2 (choices for the first and last page) × 4^98 (choices for the remaining 98 pages)

This simplifies to:

2 × 4⁹⁸ ≈ 2.814 × 10⁵⁹

Therefore, there are approximately 2.814 × 10⁵⁹ ways to assign the 100 pages to the four printers.

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