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2 years ago

There are 75 students in Grade 3. There are 44 more studentsin Grade 4 than in Grade 3. How many students are in Grade 4?

Mathematics

2 answers:

sammy [17]2 years ago

6 0

Students in grade 4=students in grade 3 + 44
=75+44=119

mafiozo [28]2 years ago

5 0

In grade 4, there are 119 students.

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Consider a large shipment of 400 refrigerators, of which 40 have defective compressors. If X is the number among 15 randomly sel

Vlad [161]

Answer:

The required probability is 0.94

Step-by-step explanation:

Consider the provided information.

There are 400 refrigerators, of which 40 have defective compressors.

Therefore N = 400 and X = 40

The probability of defective compressors is:

$\frac{40}{400}=0.10$

It is given that If X is the number among 15 randomly selected refrigerators that have defective compressors,

That means n=15

Apply the probability density function.

$P(X=x)=^nC_xp^x(1-p)^{n-x}$

We need to find P(X ≤ 3)

$P(X\leq3) =P(X=0)+P(X=1)+P(X=2)+P(X=3)\\P(X\leq3) =\frac{15!}{15!}(0.1)^0(1-0.1)^{15}+\frac{15!}{14!}(0.1)^1(1-0.1)^{14}+\frac{15!}{13!2!}(0.1)^2(1-0.1)^{13}+\frac{15!}{12!3!}(0.1)^3(1-0.1)^{12}\\$

$P(X\leq3) =0.944444369992\approx 0.94$

Hence, the required probability is 0.94

4 0

2 years ago

What is the value of –21/6-1 1/4+1 3/4

aleksley [76]

It’s the answer pahaha

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2 years ago

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Diego has 150% as much as noahs $5. How much does diego have

pashok25 [27]

Answer: $7.50

Step-by-step explanation:

150% of $5 is $7.50

6 0

2 years ago

Read 2 more answers

What is the value of f^-1(-3)?

poizon [28]

Flip the curve over y = x then observe what is y when x = -3. You will find that $f^{-1}(x)=1.5$ .

Hope this helps.

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3 years ago

A grocery wants to make two kinds of coffee. One consoles for $1.40 pound, and the other cells for $2.95 a pound. He wants to ma

steposvetlana [31]

Step-by-step explanation:

a lot of typos in the problem description.

I assume the price of the mix is 1:1 related to the prices of the individual types of coffee.

so, from what I understood we can define

x = pounds of the first type of coffee.

y = pounds of the second type of coffee.

x + y = 21 pounds

1.4x + 2.95y = 2.6(x + y) = 2.6×21 = $54.60

in the second equation we have to bring the given "$2.60 per pound" to the total price, which is $2.60 times the total amount of pounds (which is 21).

from the first equation we get

x = 21 - y

and that we use in the second equation

1.4×(21 - y) + 2.95y = 54.6

29.4 - 1.4y + 2.95y = 54.6

1.55y = 25.2

y = 25.2 / 1.55 = 16.25806452... ≈ 16.26 pounds

x = 21 - y = 4.741935484... ≈ 4.74 pounds

so, he should mix 4.74 pounds of the first (cheaper) type and 16.26 pounds of the second (expensive) type.

6 0

2 years ago