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3 years ago

Fill in the ◯ with < , > , or = to make a true statement.

Mathematics

2 answers:

Step2247 [10]3 years ago

6 0

<h3>Answer: -4.5 < -4.49</h3>

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Explanation:

Think of -4.5 as -4.50, then you would be able to see that -4.50 is further left compared to -4.49 and this makes -4.50 to be smaller than -4.49; therefore, -4.50 < -4.49

Keep in mind that these values are negative, so the more leftward you go, the larger the magnitude of the values will get. For example, -10 is even more to the left so it makes -10 even smaller compared to the other values mentioned. We would be able to say -10 < -4.5 and also -10 < -4.49

Side note: if the values were positive, then 4.50 > 4.49 because 50 > 49. The inequality sign flips when we change everything from positive to negative.

Evgesh-ka [11]3 years ago

4 0

Answer:

Step-by-step explanation:

-4.49 is greater than -4.5 because it is closer to a positive number.

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Find the remainder when f(x)=x3−4x2−6x−3 f ( x ) = x 3 − 4 x 2 − 6 x − 3 is divided by x+1

loris [4]

Answer:

The remainder is -2.

Step-by-step explanation:

According to the Polynomial Remainder Theorem, if we divide a polynomial P(x) by a binomial (x - a), then the remainder of the operation will be given by P(a).

Our polynomial is:

$P(x) = x^3-4x^2-6x-3$

And we want to find the remainder when it's divided by the binomial:

$x+1$

We can rewrite our divisor as (x - (-1)). Hence, a = -1.

Then by the PRT, the remainder will be:

$\displaystyle\begin{aligned} R &= P(-1)\\ &=(-1)^3-4(-1)^2-6(-1)-3 \\ &= (-1)-4(1)+(6)-3 \\ &= -2 \end{aligned}$

The remainder is -2.

5 0

3 years ago

Evaluate square root of 24 - x when x = 6 . Write the answer in simplified radical form.?

timofeeve [1]

So, first we input 6
24 - 6 = 18
So we now need to find the square root of 18
If you're allowed to use a calculator, the square root is 4.242

But if you don't, let's get as close as we can:
√(9 * 2)
Because the square root of 9 is 3:
3 * √2

4 0

4 years ago

This year the CDC reported that 30% of adults received their flu shot. Of those adults who received their flu shot,

Vlad [161]

Using conditional probability, it is found that there is a 0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

Conditional Probability

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this problem:

Event A: Person has the flu.

Event B: Person got the flu shot.

The percentages associated with getting the flu are:

20% of 30%(got the shot).

65% of 70%(did not get the shot).

Hence:

$P(A) = 0.2(0.3) + 0.65(0.7) = 0.515$

The probability of both having the flu and getting the shot is:

$P(A \cap B) = 0.2(0.3) = 0.06$

Hence, the conditional probability is:

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.515} = 0.1165$

0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

To learn more about conditional probability, you can take a look at brainly.com/question/14398287

7 0

2 years ago

A pizza company charges $8 for a large pizza and a $5 delivery charge. Write an equation that gives the

cupoosta [38]

8p +5 = $29
The above is the equation

If you want to know how many pizza were ordered then you subtract 5 from each side of the equal sign then you would have 8p=24 then divide by 8 on both sides of equal sign . p= 3 ; so 3 pizzas were order plus a charge of $5 for delivery.

3 0

3 years ago

Solve m+18+23=71 PLZZZZZ I NEED THE ANSER PLZZZ

Aleksandr-060686 [28]

Answer:

m + 18 + 23 = 71

m + 41 = 71

m = 71 - 41

m = 30

8 0

3 years ago

Read 2 more answers