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3 years ago

The greater of two consecutive EVEN numbers is 40 less than twice the smaller number. Find the larger number

Mathematics

1 answer:

Bas_tet [7]3 years ago

3 0

Answer:

Step-by-step explanation:

z - some integer

2z - first given even integer (the smaller one)

2z+2 - even integer consecutive to 2z (the larger one)

2(2z) - twice the smaller number

2(2z) - 40 - the number 40 less than twice the smaller number

2(2z) - 40 = 2z + 2

4z - 40 = 2z + 2

2z = 42

2z+2 = 42+2 = 44

check:

2(2z)-40 = 2(42)-40 = 84-40 = 44

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The probability that a student has a Visa card (event V) is .63. The probability that a student has a MasterCard (event M) is .1

Aleksandr-060686 [28]

Answer:

a) The probability that a student has either a Visa card or a MasterCard is 0.71.

b) V and M are not independent.

Step-by-step explanation:

Given : The probability that a student has a Visa card (event V) is 0.63. The probability that a student has a MasterCard (event M) is 0.11. The probability that a student has both cards is 0.03.

To find :

a) The probability that a student has either a Visa card or a MasterCard ?

b) In this problem, are V and M independent ?

Solution :

The probability that a student has a visa card(event V) is P(V)= 0.63

The probability that a student has a MasterCard (event M) is P(M)= 0.11

The probability that a student has both cards is $P(V \cap M)=0.03$

a) Probability that a student has either a Visa card or a Master Card is given by,

$P(V \cup M) = P(V) + P(M) - P(V\cap M)$

$P(V \cup M) = 0.63+ 0.11- 0.03$

$P(V \cup M) =0.74- 0.03$

$P(V \cup M) =0.71$

The probability that a student has either a Visa card or a MasterCard is 0.71.

b) Two events, A and B, are independent if $P(A\cap B)=P(A)P(B)$

For V and M to be independent the condition is satisfied,

$P(V\cap M)=P(V)P(M)$

Substitute the values,

$0.03=0.63\times 0.11$

$0.03\neq 0.0693$

So, V and M are not independent.

6 0

3 years ago

Absolute value of |x|= 5\6

12345 [234]

Hey there!☺

$Answer:\boxed{x=\frac{5}{6},-\frac{5}{6}}$

$Explanation:$

$|x|=\frac{5}{6}$

To solve for x, simplify both sides of the equation and then isolate the variable:

$|x|=\frac{5}{6}\\x=\frac{5}{6},-\frac{5}{6}$

Hope this helps!☺

4 0

3 years ago

Pls pls pls pls helpppppp

pychu [463]

Answer:

$32.25

Step-by-step explanation:

$53.75 ÷ 5 = $10.75

$10.75 × 3 = $32.25

3 0

2 years ago

Read 2 more answers

I’ll 40 points for these answers, thank you

attashe74 [19]

1. 24%
2. 13%
3. 60%

1. Since 6/25 is .24, 24% of the class was absent
2. He spent 3 hours in total.. Divide is by 24 because there are 24 hours in a day. 3/24 is 0.125 for 13% of the day
3. He ran 3 of the 5 miles, so 3/5 = 0.6.. meaning 60%. The time doesn’t matter

3 0

3 years ago

Read 2 more answers

Need some help it'd be appreciated

Natalka [10]

Answer:

Step-by-step explanation:

The parallel postulate is one of Euclid main axioms. Since it was accepted as self evident.

A is wrong, any two points can be drawn a straight line through. And straight lines exist in plane geometry.

B and D is wrong, the angle measures of a triangle must add up to 180 degrees in plane geometry.

8 0

3 years ago