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3 years ago

Solve the given inequality and graph the solution on a number line.

2 answers:

5 0

I’m not 100% sure but i think the inequality would end up being x < 6/2 so if that’s right then it’d be graphed as an open circle on 3, pointing left

raketka [301]3 years ago

4 0

Answer:

sorry agnor me

Step-by-step explanation:

plz egnore my ideodik nis

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Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Divide

IgorC [24]

Answer:

The answer is option 2.

Step-by-step explanation:

Firstly, you must factorize the possible expressions :

$\frac{ {x}^{2} - 2x - 15 }{x - 3} \div \frac{x - 5}{ {x}^{2} - 9 }$

$= \frac{(x - 5)(x + 3)}{x - 3} \div \frac{x - 5}{(x - 3)(x + 3)}$

Next you have to divide by converting to multiplication :

$= \frac{(x - 5)(x + 3)}{x - 3} \times \frac{(x - 3)(x + 3)}{x - 5}$

Lastly, you can cut out the similar expressions :

$= \frac{(x - 5)(x + 3)(x - 3)(x + 3)}{(x - 3)(x - 5)}$

$= {(x + 3)}^{2}$

7 0

3 years ago

Find the missing dimension of the cylinder. Round your answer to the nearest hundredth.

ivann1987 [24]

Answer:

The missing dimension, radius = 6.00 m

Step-by-step explanation:

We are given the following things:

Height of cylinder, $h$ = 15 m

Radius of cylinder, $r = z$ m (Labelled as $z$ )

Volume of cylinder, $V = 1696.5\ m^{3}$

Please refer to the image attached for the dimensions of cylinder as given.

We know that the volume of a cylinder can be given as:

$V = \pi r^{2} h$

Where $r$ is the radius of cylinder

$h$ is the height of cylinder

Putting the values of $V, r \text{ and } h$ :

$1696.5 = \pi z^{2} \times 15\\\Rightarrow z^{2} = 36.01\\\Rightarrow z = 6.00\ m$

Hence, The missing dimension, radius = 6.00 m

6 0

3 years ago

Suppose that each time Giannis Antetokounmpo shoots a free throw, he has a 3/4 probability of success. If Giannis shoots three f

GREYUIT [131]

Answer:

84.38% probability that he succeeds on at least two of them

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either Giannis makes it, or he does not. The free throws are independent. So we use the binomial probability distribution 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.

He has a 3/4 probability of success.

This means that $p = \frac{3}{4} = 0.75$

Giannis shoots three free throws

This means that $n = 3$

What is the probability that he succeeds on at least two of them

$P(X \geq 2) = P(X = 2) + P(X = 3)$

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

$P(X = 2) = C_{3,2}.(0.75)^{2}.(0.25)^{1} = 0.4219$

$P(X = 3) = C_{3,3}.(0.75)^{3}.(0.25)^{0} = 0.4219$

$P(X \geq 2) = P(X = 2) + P(X = 3) = 0.4219 + 0.4219 = 0.8438$

84.38% probability that he succeeds on at least two of them

6 0

3 years ago

Can anyone help me with this question please

klemol [59]

Answer:

7. ∠CBD = 100°

8. ∠CBD = ∠BCE = 100°; ∠CED = ∠BDE = 80°

Step-by-step explanation:

7. We presume the angles at A are congruent, so that each is 180°/9 = 20°.

Then the congruent base angles of isosceles triangle ABC will be ...

∠B = ∠C = (180° -20°)/2 = 80°

The angle of interest, ∠CBD is the supplement of ∠ABC, so is ...

∠CBD = 180° -80°

∠CBD = 100°

8. In the isosceles trapezoid, base angles are congruent, and angles on the same end are supplementary:

∠CBD = ∠BCE = 100°

∠CED = ∠BDE = 80°

8 0

3 years ago

Find the surface area.

Marysya12 [62]

let's notice, this is a Cube, namely all equal sides, and mind you it has 6 sides, Check the picture below.

$\stackrel{\textit{area of all 6 sides}}{6(9\cdot 9)\implies 486}$

8 0

3 years ago