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3 years ago

Compare the integers, and write the integer with the greater value. -8, -(-6)

Mathematics

1 answer:

uysha [10]3 years ago

5 0

Answer:

-8 is negative and -(-6) is positive. Both are whole numbers. -(-6) is the greater value.

Step-by-step explanation:

-(-6) is the greater value because it equals 6, which is greater than -8 on the number line.

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The function p(x) is an odd degree polynomial with a negative leading coefficient. If q(x) = x3 + 5x2 - 9x - 45, which statement

saul85 [17]

Answer:

As x approaches negative infinity, p(x) approaches positive infinity and q(x) approaches negative infinity.

Step-by-step explanation:

The order of the polynomial and the sign of the leading coefficient will let us find the correct answer easily,

If you get a negative number (such as negative infinity) and you take it to an odd power, (for example 3), you will still get a negative number.

As q(x) has a positive leading coefficient, this means that as x approaches negative infinity, q(x) will approach too negative infinity.

Since p(x) has an odd degree, but negative leading coefficient,

(-)*(-) = +

And this means that p(x) approaches positive infinity

4 0

3 years ago

A real estate agent has 12 properties that she shows. She feels that there is a 30% chance of selling any one property during a

Ronch [10]

Answer:

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

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

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A real estate agent has 12 properties that she shows.

This means that $n = 12$

She feels that there is a 30% chance of selling any one property during a week.

This means that $p = 0.3$

Compute the probability of selling no more than 2 properties in one week.

2 or less sold, which is:

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{12,0}.(0.3)^{0}.(0.7)^{12} = 0.0138$

$P(X = 1) = C_{12,1}.(0.3)^{1}.(0.7)^{11} = 0.0712$

$P(X = 2) = C_{12,2}.(0.3)^{2}.(0.7)^{10} = 0.1678$

Then

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0138 + 0.0712 + 0.1678 = 0.2528$

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

8 0

3 years ago

For people doing some jobs, long spells of high pressure weather can bring problems. Give three examples of jobs that would be a

dolphi86 [110]

Answer:

Sports players: For people that need high respiratory performance, rises in the pressure may difficult the things, so they would be affected by high pressure because this makes breathing a little bit harder.

Workers in construction and such: People that work a lot with their muscles, in heat environments (road workers, construction workers) may be affected by the same problem as before, and this makes the workers to exhaust in a shorter time than if they worked in a lower pressure environment.

Scientist: A lot of time, some experiments or investigations need a specific pressure to work, so changes in weather pressure may affect investigations, and because the changes are actually uncontrollable, the scientist are really affected by them.

4 0

3 years ago

Pls!! I’m stuck on this question

Elena L [17]

Answer: 4x4=16, 6x6x6x6=1296, 1296+16=1312

the answer is 1312

Step-by-step explanation: find the area. 4x4, 6x6x6x6, the 3 is only there to throw you off you dont do anything with the 3

i think thats right

4 0

3 years ago

If the sum of the even integers between 1 and k, inclusive, is equal to 2k, what is the value of k?

Alisiya [41]

If $k$ is odd, then

$\displaystyle\sum_{n=1}^{\lfloor k/2\rfloor}2n=2\dfrac{\left\lfloor\frac k2\right\rfloor\left(\left\lfloor\frac k2\right\rfloor+1\right)}2=\left\lfloor\dfrac k2\right\rfloor^2+\left\lfloor\dfrac k2\right\rfloor$

while if $k$ is even, then the sum would be

$\displaystyle\sum_{n=1}^{k/2}2n=2\dfrac{\frac k2\left(\frac k2+1\right)}2=\dfrac{k^2+2k}4$

The latter case is easier to solve:

$\dfrac{k^2+2k}4=2k\implies k^2-6k=k(k-6)=0$

which means $k=6$ .

In the odd case, instead of considering the above equation we can consider the partial sums. If $k$ is odd, then the sum of the even integers between 1 and $k$ would be

$S=2+4+6+\cdots+(k-5)+(k-3)+(k-1)$

Now consider the partial sum up to the second-to-last term,

$S^*=2+4+6+\cdots+(k-5)+(k-3)$

Subtracting this from the previous partial sum, we have

$S-S^*=k-1$

We're given that the sums must add to $2k$ , which means

$S=2k$
$S^*=2(k-2)$

But taking the differences now yields

$S-S^*=2k-2(k-2)=4$

and there is only one $k$ for which $k-1=4$ ; namely, $k=5$ . However, the sum of the even integers between 1 and 5 is $2+4=6$ , whereas $2k=10\neq6$ . So there are no solutions to this over the odd integers.

5 0

3 years ago