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adoni [48]
3 years ago
7

The table shows the number of books each student read this month. Move bars to the graph to show data.

Mathematics
1 answer:
Airida [17]3 years ago
6 0
This is so easy. The answers are literally right there
You might be interested in
The heights of men in a certain population follow a normal distribution with mean 69.7 inches and standard deviation 2.8 inches.
Mama L [17]

Answer:

a) P(Y > 76) = 0.0122

b) i) P(both of them will be more than 76 inches tall) = 0.00015

   ii) P(Y > 76) = 0.0007

Step-by-step explanation:

Given - The heights of men in a certain population follow a normal distribution with mean 69.7 inches and standard deviation 2.8 inches.

To find - (a) If a man is chosen at random from the population, find

                    the probability that he will be more than 76 inches tall.

              (b) If two men are chosen at random from the population, find

                    the probability that

                    (i) both of them will be more than 76 inches tall;

                    (ii) their mean height will be more than 76 inches.

Proof -

a)

P(Y > 76) = P(Y - mean > 76 - mean)

                 = P( \frac{( Y- mean)}{S.D}) > \frac{( 76- mean)}{S.D})

                 = P(Z >  \frac{( 76- mean)}{S.D})

                 = P(Z > \frac{76 - 69.7}{2.8})

                 = P(Z > 2.25)

                 = 1 - P(Z  ≤ 2.25)

                 = 0.0122

⇒P(Y > 76) = 0.0122

b)

(i)

P(both of them will be more than 76 inches tall) = (0.0122)²

                                                                           = 0.00015

⇒P(both of them will be more than 76 inches tall) = 0.00015

(ii)

Given that,

Mean = 69.7,

\frac{S.D}{\sqrt{N} } = 1.979899,

Now,

P(Y > 76) = P(Y - mean > 76 - mean)

                 = P( \frac{( Y- mean)}{\frac{S.D}{\sqrt{N} } })) > \frac{( 76- mean)}{\frac{S.D}{\sqrt{N} } })

                 = P(Z > \frac{( 76- mean)}{\frac{S.D}{\sqrt{N} } })

                 = P(Z > \frac{( 76- 69.7)}{1.979899 }))

                 = P(Z > 3.182)

                 = 1 - P(Z ≤ 3.182)

                 = 0.0007

⇒P(Y > 76) = 0.0007

6 0
3 years ago
Can someone answer these pls!! I will be glad to have you answer them !! I need this done by tomorrow!
BARSIC [14]

Answer:

7/8=0.875   7/20=0.35   18/20=0.9    7/8=0.875    68/50=1.36     25/20=1.25 26/25=1.04   11/10=1.1     11/16=0.6875  9/16=0.5625  33/40=0.825  23/40=0.575   14/10=1.4     29/25=1.16  39/40=0.975

Step-by-step explanation:

5 0
3 years ago
I don't remember what it is that I'm doing, as I did the lessons before spring break. Help?
blsea [12.9K]
Extraneous solutions, is answers that we get because of squaring both sides of the radical equation, but in reality, they are not going to be the solutions of  the given equation.
(√(4x+41))²=(x+5)²
4x+41=x²+10x+25
x²+6x-16=0
(x-2)(x+8)=0
x1=2 , x2=-8,
And now we must to check them by substitution into initial equation

√(4x+41)=x+5
1)   x=2,   √(4*2+41)=2+5, √49=7, 7=7 true
2) x=-8,     √(4*(-8)+41)=-8+5,   √9 =-3    false,
so an extraneous solution x=-8
6 0
3 years ago
Hey ya'll Math Question.. TwT Help me, please!
Vedmedyk [2.9K]
No no no no no no no no no
3 0
3 years ago
PLEASE I need help I don’t understand this math and I have less then 20 minutes so help is really needed please also if you can
adoni [48]

Answer:

false

Step-by-step explanation:

because 14x7 = 98

4 0
3 years ago
Read 2 more answers
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