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bagirrra123 [75]
3 years ago
10

="latex-formula">
Mathematics
2 answers:
olga55 [171]3 years ago
8 0
X=2

4(3x-2)=16
-> 3x-2=4 —> 3x=4+2 —> 3x+6 —> x=2
faust18 [17]3 years ago
7 0

Answer:

x=2

Step-by-step explanation:

12x-8=16

12x=24

x=2

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PLEASE HELP I NEED HELP WITH THIS ASAP. PLEASE show work, thank you. Will give branliest
d1i1m1o1n [39]
If the slope is 5 perpendicular would be -1/5 just flip the slope around
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Water stations will be placed every 600 meters of a fifteen kilometer race how many water stations will be needed
zaharov [31]
15 km = 15,000 m
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3 0
3 years ago
32​% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and a
Tems11 [23]

Answer:

a) P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211

b) P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668

c) P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816

Step-by-step explanation:

1) Previous concepts

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".

2) Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=10, p=0.32)

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!}

Part a

P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211

Part b

P(X> 2)=1-P(X\leq 2)=1-[P(X=0)+P(X=1)+P(X=2)]

P(X=0)=(10C0)(0.32)^0 (1-0.32)^{10-0}=0.0211  

P(X=1)=(10C1)(0.32)^1 (1-0.32)^{10-1}=0.0995

P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211

P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668

Part c

P(2 \leq x \leq 5)=P(X=2)+P(X=3)+P(X=4)+P(X=5)

P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211

P(X=3)=(10C3)(0.32)^3 (1-0.32)^{10-3}=0.264

P(X=4)=(10C4)(0.32)^4 (1-0.32)^{10-4}=0.218

P(X=5)=(10C5)(0.32)^5 (1-0.32)^{10-5}=0.123

P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816

6 0
3 years ago
A UFO is coming in to pick up some test subjects. Their elevation above the ground is 60,000 feet. Their laser sights tell them
charle [14.2K]

Answer:

41.83°

Step-by-step explanation:

It is given that :

The vertical distance of the UFO from the ground = 60,000 feet

The diagonal distance of the landing area to the UFO = 90,000 feet

In order to find the angle of depression, we have to use the trigonometric ratios, i.e.,

$\sin \ \theta = \frac{\text{perpendicular distance}}{\text{hypotenus}}$

$\sin \ \theta = \frac{60,000}{90,000}$

$\sin \ \theta = \frac{2}{3}$

$\sin \ \theta = 0.667$

∴ $\theta = \sin^{-1 }(0.667)$

     = 41.83°

3 0
3 years ago
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JulsSmile [24]

Answer:

x=4

x=17.9

Step-by-step explanation:

For the first diagram.

cos(45°)=x/4√2

x=4√2cos(45°)

x=4

For the second diagram

tan(38°)=14/x

0.781=14/x

x=14/0.781=17.9

7 0
2 years ago
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