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SCORPION-xisa [38]
3 years ago
7

I need the value of x. Show all your work or no points. Please explain thoroughly.

Mathematics
1 answer:
CaHeK987 [17]3 years ago
6 0
Let the straight line x+2x+x+3=23
4x+3=23
4x=23-3=20
x=20/4 which is 5
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Consider two people being randomly selected. (For simplicity, ignore leap years.)
inna [77]

Answer:

(a) = \frac{144}{133225} \\\\(b) = \frac{1}{365}

Step-by-step explanation:

Part (a) the probability that two people have a birthday on the 9th of any month.

Neglecting leap year, there are 365 days in a year.

There are 12 possible 9th in months that make a year calendar.

If two people have birthday on 9th; P(1st person) and P(2nd person).

=\frac{12}{365} X\frac{12}{365}  = \frac{144}{133225}

Part (b) the probability that two people have a birthday on the same day of the same month

P(2 people selected have birthday on the same day of same month) + P(2 people selected not having birthday on  same day of same month) = 1

P(2 people selected not having birthday on  same day of same month):

= \frac{365}{365} X \frac{364}{365} =\frac{364}{365}

P(2 people selected have birthday on the same day of same month) = 1-\frac{364}{365} \\\\= \frac{1}{365}

7 0
3 years ago
The equation 24x2+25x−47 ax−2 =−8x−3− 53 ax−2 is true for all values of x≠ 2 a , where a is a constant. What is the value of a?
lesantik [10]
I swear if it’s wrong I’m sorry ok but it’s 3 for me
8 0
3 years ago
Read 2 more answers
Triangle QRS has been rotated 90° to create triangle TVU. Using the image below, prove that lines RS and VU have the opposite an
Zanzabum

Answer:

If the line RS has been rotated 90 degrees, then VU will be perpendicular to RS and the two slopes must be opposite and reciprocal, i.e. product of the two slopes will equal -1.

As a verification, we find the locations of V and U from rotations of R & S.

(actually, the triangle had been rotated -90°, 90 ° clockwise)

Step-by-step explanation:

Slope RS, m1:

Slope VU, m2

Hence m1*m2=1*-1=-1, meaning that m1 and m2 are opposite (in sign) and are reciprocal to each other, as expected

6 0
3 years ago
Which sentence contains an inappropriate shift in tense?
Montano1993 [528]
C. Hummingbirds are hovering over the geraniums while caterpillars munched leaves.

This is because the tense of the hummingbirds is in the "ing" form, while the tense of the caterpillars is in past tense, or the "ed" form.  Because these tenses do not agree, it is an inappropriate shift in verb tense.

7 0
3 years ago
Write an expression to represent the phrase, "6 of one thing plus half a dozen of the other"
yawa3891 [41]
'of' means multiply
half a dozen means 12/2=6

6 of one thing means 6 times x
plus  means ad
half a dozen of another mean 6 times y

they are added

6x+6y


2 variables
it says 'of the other' so they are diferent
4 0
3 years ago
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