La suma de dos números es 30. Y la suma de sus cuadrados es 900. ¿Cuáles son esos números?

If eleven subtracted from eleven times a number is -66, the unknown number is -5

Given the data in the question;

First we translate the statement into an algebraic expression and solve for the unknown number.

Let x represent the unknown number.

Translation

Now, we combine.

11x - 11 = - 66

Solve for x

Add 11 to both sides

11x - 11 + 11 = - 66 + 11

11x = -55

x = -55/11

x = -5

Therefore, if eleven subtracted from eleven times a number is -66, the unknown number is -5

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The probability that she will make a basket on or before her last attempt within her average waiting time are 1/8 and 2/8

Probability of an event is a measurement of how likely an event can occur as an outcome of a random experiment;

Probability ranges from 0 to 1, both inclusive. Events whose probability is closer to 0 are rarer to occur than those whose probabilities are closer to 1 (relatively);

When converted to percentage, we just need to multiply its decimal representation by 100. In percentage form, the probability ranges from 0% to 100%;

Given:

Hannah makes 5 out of 8 attempted free-throws.

Now,

The average waiting time of hannah to make her first basket is 5/8

The probability of hannah making basket at her last attempt is 1/8

The probability of hannah making basket before her last attempt is 2/8

Hence, the probabilty will be 1/8 and 2/8;

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Answer:

You need 75 points.

Step-by-step explanation:

Giving the following information:

Total number of points= 510 + 100= 610 (100%)

Actual number of points= 493

First, we need to determine the number of points required to reach 93%:

Points required= 610*0.93

Points required= 567.3 = 568

Now, the points needed in the final exam:

Difference of points= 568 - 493

Difference of points= 75 points

You need 75 points.

The coordinates to which the portable irrigation system should be sent to water the area are:

(495.75, 672).

The portable irrigation system should be sent right to the middle of the dry area given by the rectangle at the end of the answer.

Hence the coordinates are given as follows:

Hence the x-coordinate of the point to which the system should be sent is:

x = (56 + 144 + 888 + 895)/4 = 495.75.

(the mean is given by the sum of the observations divided by the number of observations).

The y-coordinate of the point to which the system should be sent is:

y = (289 + 332 + 1012 + 1055)/4 = 672.

The area is given by the image at the end of the answer.

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Answer:

\(y = 2(x - 4) {}^{2} - 2 \\ y = 2x {}^{2} - 8 {}^{2} - 2 \\ y = {2x}^{2} - (8 \times 8) - 2 \\ y = {2x}^{2} - 64 - 2 \\ y = {2x}^{2} - 66 \\ \\ \)

Answer:

2x + 5.2 is perimeter of 30 the area is 2.1x + 1.26

Step-by-step explanation:

i need more info. Is this the whole question?

Answer:

387-141=246

Step-by-step explanation:

    387

   - 141

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

     246

The odd one out in the set is "FOQZ." It deviates from the pattern  by the other sets, where the letters are arranged in Alphabetical order.

The set of letters "BCDEGPTV AJK FOQZ IY" seems to follow a specific pattern. If we examine the letters in each group, we can identify a difference that sets "FOQZ" apart from the others.

In the first group "BCDEGPTV," the letters are arranged in alphabetical order. Similarly, in the second group "AJK," the letters are also in alphabetical order. However, when we look at the third group "FOQZ," the letters do not follow alphabetical order.

Based on this pattern, we can conclude that the odd one out in the set is "FOQZ." It deviates from the pattern followed by the other sets, where the letters are arranged in alphabetical order.

It's worth noting that the pattern could be based on different criteria, such as the position of the letters in the alphabet or some other sequence. Without additional information or context, it is difficult to determine the exact pattern or reason for the deviation.

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Answer:

21x

Step-by-step explanation:

Answer:

yea

Step-by-step explanation:

Here is the two column proof:

    Statement                                        Reason                                              

The experimental probability is:

this comes from the fact that we used what we know so far to calculated, then we make the quotient between the number of times the event has occured and the total number of trials.

Therefore the answer is A.

The distance between the two ship based on the angle of depression is 42 meters.

The distance of each ship can be calculated thus:

TanX = opposite / Adjacent

The first ship:

Tan53 = distance/ 82

distance= 108.82 meters

The second ship:

Tan39 = distance/ 82

distance= 66.40 meters

The Difference between the ships are :

Therefore, the distance between the two ships is 42 meters.

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Answer:

y = -x - 3

I hope i did it right.

Answer:

1/3

Step-by-step explanation:

Answer:

he has 21min remaining

60mins make one hour 60-54=6min

6min +15min=21

Answer:

  straight angle

Step-by-step explanation:

A straight angle is one whose measure is 180°. Its formative rays point in opposite directions from the vertex and make a straight line.

Answer:

(x, y) --> (1/2x, 1/2y)

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

The width of the duck pond is,

⇒ 27 feet

We can see that the given diagram is a rectangle,

And we know that,

Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.

Now, By given diagram we have;

We have to given that;

Use the scale drawing to determine how wide the duck pond is.

And there are 4.5 feet in 1 square,

Therefore,

1 square is equal to 4.5 feet

So, we get;

The width of the duck pond is,

⇒ 6 square

We know that,

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Then to find width of duck pond in feet,

Multiply 6 with 4.5

⇒ 6 × 4.5 feet

⇒ 27 feet

Thus, The width of the duck pond is,

⇒ 27 feet

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Answer:

\(2^1\)

Step-by-step explanation:

Hello! So, to tackle this problem let's start off with writing out the formula as such! \(\frac{2^2 * 2^3}{2^4}\)

To solve this, what we can do is start off by isolating \(\frac{2^2}{2^4}\) (we can worry about \(2^3\) later). To evaluate \(\frac{2^2}{2^4}\), we're essentially just simplifying the fraction and reducing the exponents. In this case, we can reduce the power of 2 from both the numerator and denominator to get \(\frac{1}{2^2}\) (this is obtained by dividing both numerator and denominator by \(2^2\))

Once we have that, we are now essentially left with \(\frac{2^3}{2^2}\)! From here, we can apply exponent rule, which allows us to get rid of the denominator entirely and now it becomes 2^(3-2). We can subtract the numbers to then simplify it into our answer, \(2^1\) or in other words just 2!

As a result, the likelihood that 7 out of every 10 people will develop Huntington's illness is 0.9375, or almost 93.75%.

The probability is typically stated to be the proportion of favorable events to every other result in the sample. The likelihood of an occurrence P(E) = (Number of favorable outcomes) is how it is stated (Sample space).

The binomial likelihood formula must be used to determine the likelihood that precisely seven out of ten people will develop Huntington's disease:

\(P(X = k) = (n choose k)\) × \(p^k (1 - p)^(n - k)\)

where the likelihood of obtaining k successes is P(X = k).

The number of trials is n.

The binomial coefficient, n pick k, denotes the number of possible methods to select k successes from n trials, where p is the success rate in each trial.

In this instance, n = 10 (since there are 10 people)

As we are interested in the likelihood that exactly 7 persons will have Huntington's illness, we set k = 7.

p = 0.5 (because there is a 50% chance that each person will inherit the gene)

(n choose k) = 10 select 7 = 120 (since there are 120 ways to choose 7 people from 10)

Given these numbers, we can get the probability using the formula below:

\(P(X = 7) = (10 choose 7)\)× \(0.5^7\) × \((1 - 0.5)^(10 - 7)\)

= 120 × \(0.5^7\) × \(0.5^3\)

= 120 × 0.0078125

= 0.9375

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Since 1 inch= 30 miles

To convert 600 miles to inches:

600m / 30 m/in =20 inches

The length of the road is 20 inches.

\(\huge\text{Hey there!}\)

\(\mathsf{25x^2=49}\)

\(\textsf{DIVIDE by 25 to BOTH SIDES}\)

\(\mathsf{\dfrac{25x^2}{25}=\dfrac{49}{25}}\)

\(\textsf{Cancel out: }\mathsf{\dfrac{25}{25}}\textsf{ because it gives you 1}\)

\(\textsf{Keep: }\mathsf{\dfrac{49}{25}}\textsf{ because it helps us solve for x}\)

\(\textsf{New equation: }\mathsf{x^2 = \dfrac{49}{25}}\)

\(\textsf{TAKE the SQUARE ROOT}\)

\(\mathsf{x\pm \sqrt{\dfrac{49}{25}}}\)

\(\mathsf{\sqrt{\dfrac{49}{25}}= 1.4}\)

\(\mathsf{- \sqrt{\dfrac{49}{25}}= -1.4}\)

\(\boxed{\boxed{\large\text{Answer: \huge \bf x = 1.4 or x = -1.4}}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

\(g(x) = 3^{x -4}\)

Step-by-step explanation:

Given

\(f(x) = 3^x\)

g(x) = f(x) 4 units left

Required

Find g(x)

When a point is translated 4 units left, the rule is:

\(x \to x - 4\)

So, we have:

\(g(x) = f(x-4)\)

\(f(x-4)\) is calculated as:

\(f(x-4) = 3^{x -4}\)

Hence:

\(g(x) = 3^{x -4}\)

Answer:

q=8/3

Step-by-step explanation:

First, add 5/6 to both sides to get rid of -5/6 to get q=16/6 then simplify to q=8/3.

Answer:

\(q=2\frac{2}{3}\)

Step-by-step explanation:

The given equation consists of a fraction and a mixed number.

First, convert the mixed number into an improper fraction by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:

\(q-\dfrac{5}{6}=1 \frac{5}{6}\)

\(q-\dfrac{5}{6}=\dfrac{1 \cdot 6+5}{6}\)

\(q-\dfrac{5}{6}=\dfrac{11}{6}\)

Now, add 5/6 to both sides of the equation to isolate q:

\(q-\dfrac{5}{6}+\dfrac{5}{6}=\dfrac{11}{6}+\dfrac{5}{6}\)

\(q=\dfrac{11}{6}+\dfrac{5}{6}\)

As the fractions have the same denominator, we can carry out the addition by simply adding the numerators:

\(q=\dfrac{11+5}{6}\)

\(q=\dfrac{16}{6}\)

Reduce the improper fraction to its simplest form by dividing the numerator and denominator by the greatest common factor (GCF).  

The GCF of 16 and 6 is 2, therefore:

\(q=\dfrac{16\div 2}{6 \div 2}\)

\(q=\dfrac{8}{3}\)

Finally, convert the improper fraction into a mixed number by dividing the numerator by the denominator:

\(q=2 \; \textsf{remainder}\;2\)

The mixed number answer is the whole number and the remainder divided by the denominator:

\(q=2\frac{2}{3}\)

In the simple random sample, the probability that at least half of the students have brown eyes is 0.400

Probability is defined as the chance of occurrence of an event.

Probability is defined as follows:

P(E)=\(\frac{no of required outcome}{total of possible outcomes}\)

The given parameters are:

The sample size= 30 students

Number with brown eye=40%

40% x 30 = \(\frac{40}{100} * 30\)

=12

This means that there 12 students out of 30 that have brown eyes.

Applying the probability formula

\(\frac{12}{30}\)= 2/5

In conclusion 0.400 of the students have brown eyes.

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Based on equations, Angus worked 6 hours on Saturday and 10 hours at his after-school job last week earning a total of $127.80.

The hourly rate at Angus' Saturday job = $8.80

The hourly rate at Angus' after-school job = $7.50

The total earnings last week = $127.80

Let the hours Angus worked at Saturday job = x

Let the hours Angus worked after-school = 4 + x

The total hours worked = x + x + 4

2x + 4

The total earnings last week 127.80 = 8.8x + 7.5x + 4 (7.5)

127.80 = 8.8x + 7.5x + 30

127.8 - 30 = 16.3x

x = 6 hours

x + 4 = 10 hours

2x + 4 = 16 (12 + 4)

Check:

Earnings at Saturday job = $52.80 ($8.80 x 6)

Earnings at after-school job = $75.00 ($7.50 x 10)

Total earnings = $127.80

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Answer:

1.

\(midpoint = ( \frac{ - 4 + 6}{2} , \: \frac{ - 12 + 8}{2} ) \\ = (1, \: - 2)\)

2.

\(distance = \sqrt{ {( - 4 - 6)}^{2} + {( - 12 - 8)}^{2} } \\ = \sqrt{500} \\ = 22.4 \: units\)

Answer:

No, either convert pound to ounces or the other way around.

Step-by-step explanation:

Use 1 lb= 16 oz so 75 lb=16 x 75 =1200 oz ---> 1200 ounces per 1.5 years..

---> 1200 oz/1.5 years (1)

The second equation is 38.4 ounces per 0.75 years  , will be the same as 76.8 ounces per 1.5 years.---->76.8 oz / 1.5 years  (2)

So compare (1) and (2) are not equivalent....

The rates are not equivalent to each other..

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

Use 1 lb= 16 oz

Thus 75 lb=16 x 75 =1200 oz

Means 1200 ounces per 1.5 years..

Now 1200 oz/1.5 years ----- (1)

The second equation is 38.4 ounces per 0.75 years which will be the same as 76.8 ounces per 1.5 years.

76.8 oz / 1.5 years ----- (2)

So compare (1) and (2) are not equivalent to each other.

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Answer:

195312

Step-by-step explanation:

Using the formula for the sum of a geometric sequence,

\(\frac{2(1-(5)^8)}{1-5}=195312\)