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3 years ago

What is the value of x

Mathematics

1 answer:

Dima020 [189]3 years ago

5 0

Step-by-step explanation:

2x+30+x+72°=180

3x+30=180°-72°

3x+30=108°

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A grocery store was having a sale. Darla had $15 in her wallet. She planned to purchase 2 gallons of fruit juice, 3 bags of chip

Ray Of Light [21]

Answer: Darla would have to pay $17.69 before tax

Step-by-step explanation:

Total amount in Darla's wallet = $15

She intends buying 2 gallons of fruit, 3 bags of chips and a box of cupcakes.

For the gallon of fruit

The first gallon of fruit cost $3.50

The second gallon of fruit has a discount of 50%. We have

(50/100) * 3.50

= $1.75

Therefore, the total amount for the two gallons of fruit =$3.50 + $1.75

= $5.25

Bag of chips

2 bags of chips cost $5 while 1 bag of chips cost $2.65

Since she intends to buy 3 bags of chips we have $5 + $2.65 = $7.65

1 box of cupcakes = $4.79

The total amount Darla is to pay for the groceries before tax equals

$5.25 + $7.65 + $4.79

= $17.69

This is more than the amount Darla has in her wallet

7 0

3 years ago

If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au

Marta_Voda [28]

Answer:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

Step-by-step explanation:

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".

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:

$X \sim Binom(n=8, p=0.9)$

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:

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

And for this case we want to find this probability:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

7 0

3 years ago

Read 2 more answers

5 + (-2) Is it negative or positive

densk [106]

Answer:

its positive

Step-by-step explanation:

5 + (-2) = 3

8 0

3 years ago

Read 2 more answers

If m=8, how many solutions are there for the expression m-8?

ss7ja [257]

Answer:

1 solution, 0

Step-by-step explanation:

In algebra, a variable can be equal to any amount of numbers depending on how it is used. In this case, m is only equal to the one value of 8, and therefore only has <u>one solution.</u>

m - 8

(8) - 8

5 0

3 years ago

Can someone help me please ?!? :)

Ganezh [65]

8(2)^2 + 8(2) + 9 = 57

your answer is 57

have a nice semester :)

8 0

3 years ago

Read 2 more answers