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Vinil7 [7]
3 years ago
7

Lexi needs 144 beads. A large box holds 100 beads. A medium box holds 10 beads. A small box holds 1 bead. Lexi already had 1 lar

ge box and 4 small boxes. How many medium boxes of beads she needs?
Mathematics
1 answer:
Masja [62]3 years ago
3 0
Lexi needs four medium boxes
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The number of texts per day by students in a class is normally distributed with a 
kobusy [5.1K]

Answer:

1, 2, 6

Step-by-step explanation:

The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:

z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation

Given that mean (μ) = 130 texts, standard deviation (σ) = 20 texts

1) For x < 90:

z=\frac{x-\mu}{\sigma} \\\\z=\frac{90-130}{20} =-2

From the normal distribution table, P(x < 90) = P(z < -2) = 0.0228 = 2.28%

Option 1 is correct

2) For x > 130:

z=\frac{x-\mu}{\sigma} \\\\z=\frac{130-130}{20} =0

From the normal distribution table, P(x > 130) = P(z > 0) = 1 - P(z < 0) = 1 - 0.5 = 50%

Option 2 is correct

3) For x > 190:

z=\frac{x-\mu}{\sigma} \\\\z=\frac{190-130}{20} =3

From the normal distribution table, P(x > 3) = P(z > 3) = 1 - P(z < 3) = 1 - 0.9987 = 0.0013 = 0.13%

Option 3 is incorrect

4)  For x < 130:

z=\frac{x-\mu}{\sigma} \\\\z=\frac{130-130}{20} =0

For x > 100:

z=\frac{x-\mu}{\sigma} \\\\z=\frac{100-130}{20} =-1.5

From the normal table, P(100 < x < 130) = P(-1.5 < z < 0) = P(z < 0) - P(z < 1.5) = 0.5 - 0.0668 = 0.9332 = 93.32%

Option 4 is incorrect

5)  For x = 130:

z=\frac{x-\mu}{\sigma} \\\\z=\frac{130-130}{20} =0

Option 5 is incorrect

6)  For x = 130:

z=\frac{x-\mu}{\sigma} \\\\z=\frac{160-130}{20} =1.5

Since 1.5 is between 1 and 2, option 6 is correct

5 0
3 years ago
Cristal's gross semimonthly salary is $2968.50. What is the maximum amount she can afford to borrow for a home mortgage?
prohojiy [21]

Answer:

C) 142,488

Step-by-step explanation: by adding up here semimonthly, also took test.

8 0
3 years ago
Ethan throws a ball into the air from a cliff that is 152.4 m high with an initial velocity of 4 m/s. How long does it take for
Dmitry_Shevchenko [17]
38.1 seconds I believe simply divide 4m/s into 152.4 m and you will have 38.1 seconds
8 0
3 years ago
Read 2 more answers
13. One kilogram is equal to 1,000 grams.
Ilya [14]

Answer:

I'm pretty sure it's 0.257!

Step-by-step explanation:

Sorry if I got it wrong I'm trying my best hope you have a great day!!

6 0
3 years ago
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Sarai is mixing a solution. She pours all the liquid from a full small beaker into a larger beaker. The liquid fills the large b
n200080 [17]

Answer:

2000 ml

Step-by-step explanation:

Given: Sarai pours all the liquid from a full small beaker into a larger    beaker.

           The liquid fills the large beaker to 15% of its capacity.

            The small beaker holds 300 ml.

Lets assume capacity of large beaker to hold be "x".

As given, Sarai pours all the liquid from a full small beaker into a larger beaker

∴ 15\% \times x= 300\ ml

⇒ 0.15x= 300

Dividing both side by 0.15

⇒x= \frac{300}{0.15}

∴ x= 2000\ ml

Hence, the large beaker can hold 2000 ml of liquid.

3 0
3 years ago
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