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alex41 [277]
3 years ago
7

Steps to solve -3x-2=13

Mathematics
1 answer:
Murljashka [212]3 years ago
5 0

Answer:

X=-5

Step-by-step explanation:

1.) Add 2 to 13, then you have -3x=15

2.) Divide 15 by -3 to get the solution. x=-5

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a test consists of 10 true false questions to pass a test a student must answer at least six questions correctly if a student gu
Delicious77 [7]

Answer:

P(X \geq 6) = P(X=6) +P(X=7) +P(X=8) +P(X=9) +P(X=10)

And using the probability mass function we got:

P(X=6)=(10C6)(0.5)^6 (1-0.5)^{10-6}=0.205

P(X=7)=(10C7)(0.5)^7 (1-0.5)^{10-7}=0.117

P(X=8)=(10C8)(0.5)^8 (1-0.5)^{10-8}=0.0439

P(X=9)=(10C9)(0.5)^9 (1-0.5)^{10-9}=0.0098

P(X=10)=(10C10)(0.5)^{10} (1-0.5)^{10-10}=0.000977

And adding the values we got:

P(X\geq 6) = 0.377

The best answer would be:

D. 0.377

Step-by-step explanation:

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

X \sim Binom(n=10, p=0.5)

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!}

For this case in order to pass he needs to answer at leat 6 questions and we can rewrite this:

P(X \geq 6) = P(X=6) +P(X=7) +P(X=8) +P(X=9) +P(X=10)

And using the probability mass function we got:

P(X=6)=(10C6)(0.5)^6 (1-0.5)^{10-6}=0.205

P(X=7)=(10C7)(0.5)^7 (1-0.5)^{10-7}=0.117

P(X=8)=(10C8)(0.5)^8 (1-0.5)^{10-8}=0.0439

P(X=9)=(10C9)(0.5)^9 (1-0.5)^{10-9}=0.0098

P(X=10)=(10C10)(0.5)^{10} (1-0.5)^{10-10}=0.000977

And adding the values we got:

P(X\geq 6) = 0.377

The best answer would be:

D. 0.377

8 0
3 years ago
PLease i need help i dont understand and i need an explantaion
zalisa [80]

Answer:

c) 56 m²

Step-by-step explanation:

Area of the figure =  area of triangle + area of rectangle

Rectangle:

length = 8 m

Width = 5 m

Area = length * width

       = 8 *5

       = 40 m²

Triangle:

base (b)= 4 m

height (h) =  8 m

Area=\frac{1}{2}bh\\\\ =\frac{1}{2}*4*8\\

= 2* 8

=  16 m²

Area of the figure = 40 + 16

                                = 56 m²

4 0
3 years ago
Read 2 more answers
A
Alisiya [41]
B, the equation of the table is y=x/2.
8 0
3 years ago
−90−60wminus, 90, minus, 60, w?
Lisa [10]

Answer:

36

Step-by-step explanation:

7 0
3 years ago
Alexandro received two quotes for new carpet for his home. The quote from Home Depot is $0.20 less per square foot than the quot
RSB [31]

Answer:

Total cost as per Lowe's is $260 more than that of Home Depot.

Step-by-step explanation:

Given that:

Alexandro received two quotes for new carpet.

One from Home Depot and other from Lowe's.

Let quote from Home Depot = \$x per sq foot

As per question statement,

The quote from Lowe's = \$x+0.20 per sq foot

Alexandro plans to buy 1,300 square feet of carpet.

Total Cost as per Home Depot's quote = \$1300x

Total Cost as per Lowe's = \$(x+0.20)\times 1300  = \$1300x + \$260

Now taking the difference of the total cost:

Lowe's total cost - Total cost as per Home Depot.

\$1300x+\$260 - \$1300x \\\Rightarrow \$260

So, the answer is:

Total cost as per Lowe's is <em>$260 more</em> than that of Home Depot.

5 0
3 years ago
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