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2 years ago

Are the lines parallel or perpendicular? Y=x+4 and y=x-2

Mathematics

1 answer:

skelet666 [1.2K]2 years ago

3 0

Answer:

The lines are parallel

Step-by-step explanation:

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A total of 60% of the customers of a fast food chain order a hamburger, French fries, and a drink. If a random sample of 15 cash

Ne4ueva [31]

Answer:

C. 0.403

Step-by-step explanation:

Binomial distribution has two parameter n and p. Here, n=15 and p=0.60.

We have to find the probability of 10 or more will show that the hamburger, French fries and a drink were ordered. P(X≥10)=?

The binomial probability distribution function for random variable X is

$P(X=x)=nCxp^{x} q^{n-x}$

where q=1-p=1-0.6=0.4,n=15 and p=0.6.

P(X≥10)=P(X=10)+P(X=11)+P(X=12)+P(X=13)+P(X=14)+P(X=15)

$P(X=10)=15C10(0.6^{10})( 0.4^{5})$ =0.185938

$P(X=11)=15C11(0.6^{11}) (0.4^{4})$ =0.126776

$P(X=12)=15C12(0.6^{12}) (0.4^{3})$ =0.063388

$P(X=13)=15C13(0.6^{13}) (0.4^{2})$ =0.021942

$P(X=14)=15C14(0.6^{14}) (0.4^{1})$ =0.004702

$P(X=15)=15C15(0.6^{15}) (0.4^{0})$ =0.000470

P(X≥10)= 0.185938 +0.126776 +0.063388 +0.021942 +0.004702 +0.000470

P(X≥10)=0.403216

So, the probability of 10 or more will show that the hamburger, French fries and a drink were ordered is 0.403.

8 0

3 years ago

Rationalize the denominator and simplify. Square root of 2/5

liubo4ka [24]

Answer:

√10

------

Step-by-step explanation:

√(2/5) has a radical in the denominator. We want to eliminate that radical. To do this, multiply both √2 and √5 by √5:

√2·√5

----------

This simplifies to

√10

------

6 0

4 years ago

Set up the equation for the following word problem and solve the equation. Let x be the unknown number. -26 times a number minus

Lelechka [254]

Answer:

Step 1 of 2:
-26x - 5 = x - 56

Step 2 of 2:
17/9 or 1.89

Step-by-step explanation:

1. Putting word statement in algebraic form

Step 1:
Let x be the unknown number ==> x is the unknown variable to be used in the equation and to be solved for

Step 2:
-26 times a number minus 5 ==> -26x - 5

Step 3:
is equal to 56 less than the number ==> = x - 56

Putting it all together:
-26x - 5 = x - 56

2. Solving the equation
-26x - 5 = x - 56

1. Subtract x from both sides:
-26x - 5 - x = x - x -56

-26x -x - 5 = -56

-27x - 5 = -56

2. Add 5 to both sides
-27x - 5 + 5 = -56+ 5

-27x = -51

x = -51/-27 (dividing both sides by -27)

x = 51/27 (negative divide by negative results in positive)

Reduce 51/27 by dividing numerator and denominator by 3

x = (51 ÷ 3)/(27 ÷ 3) = 17/9

= 1.88888.... = 1.89 rounded to two decimal places

7 0

1 year ago

Given a mean of 61.2 and a standard deviation of 21.4 what is the z score of the value 90 rounded to the nearest tenth?

Nitella [24]

Answer:

The z-score of 90 is 1.35

Step-by-step explanation:

The z-score is calculated using the formula:

$z = \frac{x - \mu}{ \sigma}$

From the question, it was given that the mean is

$\mu = 61.2$

and the standard deviation is

$\sigma = 21.4$

and x=90.

We substitute the given values to obtain:

$z = \frac{90 - 61.2}{21.4}$

$z = \frac{28.8}{21.4} = 1.35$

6 0

3 years ago

State if the three side lengths form an acute, obtuse or right triangle 6, 2sqrt 55 and 17

Tema [17]

I am pretty sure it would form a acute angle!

4 0

4 years ago

Read 2 more answers