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2 years ago

Type a digit that makes this statement true. 7,176,260 is divisible by 3. Submit

Mathematics

2 answers:

Margarita [4]2 years ago

8 0

Answer:

1, 4 or 7

Step-by-step explanation:

The divisibility rule/shortcut for 3 is that the sum of its digits is divisible by 3. So, you currently have 29 (7+1+7+6+2+6+0), and you have to make that number divisible by 3.

adding 1 gets you 30, which we know is divisible by 3.

then, instead of trying every digit, we can note that

30 , 33 , 36 , 39 ....

are divisible by 3.

But the most we can add to the sum of 29 is 9 (because that is the highest digit possible)--so numbers above 38 are irrelevant

so, we want to find out if we can make 29 into 30, 33, or 36

adding 1 to 29 = 30

adding 4 to 29 = 33

adding 7 to 29 = 36

So, by making the first digit 1 , 4 , or 7, you make the number divisible by 3 (making the sentence true)

sattari [20]2 years ago

7 0

Answer:

THE ANSWER IS 1, 4, 7.

Step-by-step explanation:

You might be interested in

Which distribution is positively skewed?

hram777 [196]

it is a right skew.........

6 0

3 years ago

Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Let x be a rand

SOVA2 [1]

Answer:

Question 1:

(a) P(x<60) = 0.9236

(b) P(x>16) = 0.9564

(c) P(16<x<60) = 0.88

(d) P (x>60) = 0.0764

Question 2:

(a) P(x<3) = 0.0668

(b) P(x>7) = 0.0062

(c) P(3<x<7) = 0.927

Step-by-step explanation:

Question 1:

x = no. of mg of porphyrin per deciliter of blood.

μ = 40

σ = 14

(a) We need to compute P(x<60). We need to find the z-score using the normal distribution formula:

z = (x - μ)/σ

P(x<60) = P((x - μ)/σ < (60 - 40)/14)

= P(z < 20/14)

= P(z<1.43)

Using the normal distribution probability table we can find the value of p at z=1.43.

P(z<1.43) = 0.9236

so, P(x<60) = 0.9236

(b) P(x>16) = P(z>(16-40)/14)

= P(z>-1.71)

= 1 - P(z<-1.71)

= 1 - 0.0436

P(x>16) = 0.9564

(c) P(16<x<60) = P((16-40)/14) < x < (60-40)/14)

= P(-1.71 < z < 1.43)

This probability can be calculated as: P(z<1.43) - P(z<-1.71)

P(16<x<60) = 0.9236 - 0.0436

P(16<x<60) = 0.88

(d) P(x>60) = 1 - P(x<60)

we have calculated P(x<60) in part (a) so,

P(x>60) = 1 - 0.9236

P (x>60) = 0.0764

Question 2:

μ = 4.5 mm

σ = 1.0 mm

In this question, we will again compute the z-scores and then find the probability from the normal distribution table.

(a) P(x<3) = P(z<(3-4.5)/1)

= P(z<-1.5)

P(x<3) = 0.0668

(b) P(x>7) = 1 - P(x<7)

= 1 - P(z<(7-4.5)/1)

= 1 - P(z<2.5)

= 1 - 0.9938

P(x>7) = 0.0062

(c) P(3<x<7) = P(x<7) - P(x<3)

we have computed both of these probabilities in parts (a) and (b) so,

P(3<x<7) = 0.9938 - 0.0668

P(3<x<7) = 0.927

6 0

3 years ago

What is the volume of the cube shown? 112 in 30 in 6 in 2 in

Elenna [48]

Answer:

$11 \frac{25}{64}$

<h3>First answer is correct</h3>

Step-by-step explanation:

$2 \frac{1}{4} \times 2 \frac{1}{4} \times 2 \frac{1}{4} \\ \frac{9}{4} \times \frac{9}{4} \times \frac{9}{4} \\ = \frac{729}{64} \\ = 11 \frac{25}{64} \: \: \: {in}^{3}$

7 0

3 years ago

Suppose there are signs on the doors to two rooms. The sign on the first door reads "In this room there is a lady, and in the ot

9966 [12]

Answer:

The lady is on the second door

Step-by-step explanation:

we have that

The sign on the first door reads "In this room there is a lady, and in the other one there is a tiger"

The sign on the second door reads "In one of these rooms, there is a lady, and in one of them there is a tiger."

The sign on the second door is true

The sign on the first door is true or false

Since one of these signs is true and the other is false, the sign in the first door must be false

therefore

The lady is on the second door

5 0

3 years ago

Solve this system algebraically.

seraphim [82]

From y-2x+3=0 we have y=2x-3
So we can replace y by 2x-3 in the equation: 9x+2y=5
And we have 9x+2(2x-3)=5
Or 9x+4x-6=5
and 13x=5+6
Or x=11/13, then y=2x-3= 2. 11/13-3=22/13-3= -17/13

So we have the answer {(11/13, -17/13)}

4 0

3 years ago