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4 years ago

1. Which statement is true?

Mathematics

1 answer:

Law Incorporation [45]4 years ago

7 0

Answer:

Step-by-step explanation:

B is true because 0.2 x 10 = 2

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3.11 A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. If x is the nu

djverab [1.8K]

Answer:

Probability distribution for x:

$P(x=0)=0.3644\\\\P(x=1)=0.4373\\\\P(x=2)=0.1749\\\\P(x=3)=0.0233\\\\$

Step-by-step explanation:

We can model the number of defective sets in the group of TV sets (variable x) as a binomial variable, with sample size=3 and probability of success p=2/7≈0.2857.

The probability of k defective sets in the group is:

$P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}$

So, we have this probabilty distribution for x:

$P(x=0) = \dbinom{3}{0} p^{0}q^{3}=1*1*0.3644=0.3644\\\\\\P(x=1) = \dbinom{3}{1} p^{1}q^{2}=3*0.2857*0.5102=0.4373\\\\\\P(x=2) = \dbinom{3}{2} p^{2}q^{1}=3*0.0816*0.7143=0.1749\\\\\\P(x=3) = \dbinom{3}{3} p^{3}q^{0}=1*0.0233*1=0.0233\\\\\\$

7 0

3 years ago

Please help me!!!!!!!!!!!

shutvik [7]

The given parabola is $y+4=12(x-7)^2$ . Compare with the standard equation of a parabola in vertex form, $y-c=a(x-b)^2$ .

The vertex of this parabola is $(b,c)$ . Compare $y+4=12(x-7)^2$ with the standard equation $y-c=a(x-b)^2$ .

we see $c=-4,b=7$ . Thus, the vertex of the given parabola is $(7,-4)$ .

8 0

4 years ago

Read 2 more answers

Devon needs 8 yards of fabric to make a blanket. He has a total of 332 yards of fabric. How many blankets can Devon make? A 4040

eimsori [14]

332/8= 41.5 but you cant make half of a blanket so itll be 41!

6 0

2 years ago

Can you pls help me i need it?

Elina [12.6K]

Answer:

$114.75

Step-by-step explanation:

You have to multiply the hours by the wage. Looking at the time that the worker was in during the morning, it was a total of 4 hours. Since the wage is $13.50/hr, we would multiply 13.50 by 4.

13.50 * 4 = 54.00

So, now we have to add together the total hours in the afternoon. If we count the time, we get 4 1/2 hours. So, now we multiply 13.50 by 4.5.

13.50 * 4.5 = 60.75

Now, to find the total pay for that day, we add both the morning and the afternoon pay together.

54.00 + 60.75 = 114.75

Therefore, the pay for this day is $114.75.

6 0

3 years ago

At a hockey game a vendor sold a combined total of 110 sodas and hot dogs. The number of hot dogs sold was 42 less than the numb

jasenka [17]

76 sodas and 34 hot dogs were sold by the vendor.

Step-by-step explanation:

Given,

Total sodas and hot dogs sold = 110

Let,

x be the number of sodas sold

y be the number of hot dogs sold

According to given statement;

x+y=110 Eqn 1

y = x-42 Eqn 2

Putting value of y from Eqn 2 in Eqn 1

$x+(x-42)=110\\x+x-42=110\\2x=110+42\\2x=152$

Dividing both sides by 2

$\frac{2x}{2}=\frac{152}{2}\\x=76$

Putting x=76 in Eqn 1

$y=76-42\\y=34$

76 sodas and 34 hot dogs were sold by the vendor.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

4 0

3 years ago