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2 years ago

Need the work and and graph please !

Mathematics

1 answer:

Valentin [98]2 years ago

5 0

C is the correct graph because u can't get a cubed root of a negative number
if u chose 8 to bring x the cubed root is 2 and 2 - 3 = -1...graph matches

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Question 31 (5 points) Find the area of the shaded portion if we know the outer circle has a diameter of 4 m and the inner circl

Vadim26 [7]

The shaded portion area A corresponds to the area Ao of the outer circle minus the area Ai of the inner circle:

A = Ao - Ai

Also, the area of each circle of radius r is given by:

π r²

where the radius r is half the diameter d.

So, using r = d/2 in the above formula, we obtain:

π r² = π (d/2)² = (π/4) d²

Now, replacing each area with the corresponding diameter, we find:

A = Ao - Ai

= (π/4) 4² - (π/4) 1.5²

= (π/4) (4² - 1.5²)

= (π/4) (16 - 2.25)

= (π/4) (13.75)

≅ 10.799

Rounding the result to one decimal place, we find the answer:

10.8 m²

5 0

9 months ago

David's chance of making a free throw is 80%. In a game, he takes 10 free throws. What is the probability he makes 8 or fewer fr

maks197457 [2]

Answer:

$P(X\leq 8)= 1- P(X>8) = 1-P(X\geq 9)= 1-[P(X=9)+P(X=10)]$

And we can find the individual probabilities like this:

$P(X=9)=(10C9)(0.8)^{9} (1-0.8)^{10-9}$

$P(X=10)=(10C10)(0.8)^{10} (1-0.8)^{10-10}$

And replacing we got:

$P(X\leq 8)=1-[10(0.8)^1 (1-0.8)^{1} + (0.8)^{10}]$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

Solution to the problem

For this case we want this probability:

$P(X\leq 8)$

And for this case we can use the comlement rule and we got:

$P(X\leq 8)= 1- P(X>8) = 1-P(X\geq 9)= 1-[P(X=9)+P(X=10)]$

And we can find the individual probabilities like this:

$P(X=9)=(10C9)(0.8)^9 (1-0.8)^{10-9}$

$P(X=10)=(10C10)(0.8)^{10} (1-0.8)^{10-10}$

And replacing we got:

$P(X\leq 8)=1-[10(0.8)^9 (1-0.8)^{1} + (0.8)^{10}]$

4 0

2 years ago

Please help! if rstu is a rhombus, find m<uts

alukav5142 [94]

Answer:

$\angle UTS = 40$

Step-by-step explanation:

Given

See attachment

Required

Find $\angle UTS$

From the attachment:

$\angle RSU = 70$

Because it is a rhombus (all equal sides), then the following relationship exists between the angles

$\angle RSU = \angle SUR = 70$

Considering triangle RSU.

$\angle RSU + \angle SUR + \angle URS = 180$

This gives:

$70 + 70 + \angle URS = 180$

$140 + \angle URS = 180$

$\angle URS = 180-140$

$\angle URS = 40$

$\angle UTS = \angle URS = 40$ --- Opposite angle of a rhombus

4 0

2 years ago

Luis put out 6 different pies at a picnic at the end of the picnic, he noticed this about the pies: one whole apple pie was eate

Marat540 [252]

Answer:

2 1/4

Step-by-step explanation:

amount left of apple pie = 1 - 3/4 = 1/4

amount left of blackberry pie = 1 - 1/2 = 1/2

amount left of blueberry pie = 1 - 1/8 = 7/8

amount left of cherry pie = 1 - 5/8 = 3/8

amount left of peach pie = 1 - 3/4 = 1/4

add this figures together

1/4 + 1/2 + 7/8 + 3/8 + 1/4

2 4 + 7 + 3 + 2

8

7 0

2 years ago

Im so not good at algebra

Oliga [24]

Answer:

No it is not

Step-by-step explanation:

You can tell if points can form a function if they have the same x value. If any 2 points have the same x value (The first value in the parenthesis before the comma), they cannot be a function.

4 0

2 years ago