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3 years ago

The function table is linear determine the slope of the function

Mathematics

1 answer:

devlian [24]3 years ago

8 0

Answer:

not sure

Step-by-step explanation:

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Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p

Lubov Fominskaja [6]

Answer:

P(X ≤ 3) = 0.9933.

Step-by-step explanation:

We are given that the random variable X has a binomial distribution with the given probability of obtaining a success

Also, given n = 5, p =0.2.

The above situation can be represented through binomial distribution;

$P(X = r)= \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ;x = 0,1,2,3,.........$

where, n = number of samples (trials) taken = 5

r = number of success = less than equal to 3

p = probability of success which in our question is 0.20.

Let X = <u><em>A random variable </em></u>

So, X ~ Binom(n = 5, p = 0.20)

Now, the probability that X is less than and equal to 3 is given by = P(X ≤ 3)

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

= $\binom{5}{0} \times 0.20^{0} \times (1-0.20)^{5-0}+\binom{5}{1} \times 0.20^{1} \times (1-0.20)^{5-1}+\binom{5}{2} \times 0.20^{2} \times (1-0.20)^{5-2}+\binom{5}{3} \times 0.20^{3} \times (1-0.20)^{5-3}$

= $1 \times 1 \times 0.80^{5}+5 \times 0.20^{1} \times 0.80^{4}+10 \times 0.20^{2} \times 0.80^{3}+10 \times 0.20^{3} \times 0.80^{2}$

= <u>0.9933</u>

4 0

3 years ago

Solve the equation for<br> x 3/4(x+21) = 10.5 <br> x =

MrRa [10]

<h3>✍️ Answer:</h3><h3> $x=-\frac{294}{13}$ </h3>

✽✽✽✽

$\frac{x\cdot \:3}{4\left(x+21\right)}=10.5$

$\mathrm{Multiply\:both\:sides\:by\:}4\left(x+21\right)$

$\frac{x\cdot \:3}{4\left(x+21\right)}\cdot \:4\left(x+21\right)=10.5\cdot \:4\left(x+21\right)$

$3x=42\left(x+21\right)$

$3x=42x+882$

$\mathrm{Subtract\:}42x\mathrm{\:from\:both\:sides}$

$3x-42x=42x+882-42x$

$-39x=882$

$\mathrm{Divide\:both\:sides\:by\:}-39$

$\frac{-39x}{-39}=\frac{882}{-39}$

$x=-\frac{294}{13}$

❅❅❅❅❅❅❅❅❅❅

<h3>hope it helps...</h3><h3>have a great day!!</h3>

4 0

2 years ago

This equation has one solution. 5(x – 1) + 3x = 7(x + 1) What is the solution?

bogdanovich [222]

Open up the brackets
$5x - 5 + 3x = 7x + 7$
Collect like terms
$5x + 3x - 7x = 7 + 5$
Simplify
$8x -7x = 12$
$x = 12$
Therefore, your answer is 12.

5 0

3 years ago

Read 2 more answers

Solve for x -5(x-4)=-30

Naily [24]

Answer:

-5x + 20 = -30

-5x = 10

x = -2

7 0

2 years ago

Every that is fully readable

n200080 [17]

10)
60in=60in × (1ft/12in) = 5ft
30in= 30in × (1ft/12in) = 2.5ft
12in = 12in × (1ft/12in) = 1ft
answer is = 5ft × 2.5ft× 1ft =12.5 ft^3 = a

11)
dozen = 12 hammers
12 hammers = 20 pounds
therefore 1 hammer= 20/12 = 1.6666 lb

21 hammers ×1.666 = 35 = c

12)
convert qt to gal
600 gal × 4 qt/gal = 2400 qt

2400 qt ÷ 120 qt/min
=20 min = d

13)
Carla is 12
rob is 12+5= 17
cousin is 12-7 = 5

12+17+5= 34 =a

15)
convert 60ft into yards
60 ft × 0.333 yd/ft =20 yd

diameter = 20 yd

area of circle = (pi/4)×d^2
(pi/4)×20^2= 314.16 = b

8 0

3 years ago