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postnew [5]
3 years ago
8

Martin has 128 pencils that he is putting

Mathematics
1 answer:
rosijanka [135]3 years ago
4 0

128 pencils divided by 6 pencils that can be put in a box; 128÷6=21 with a remainder of 3

Martin needs 3 more pencils for the last box, beacuse he has 3 leftovers and 6 can go into the box. 6-3=3

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Many states assess the skills of their students in various grades. One program that is available for this purpose is the Nationa
Nataly [62]

Answer:

A score of 314 is needed to be in the top 25% of students who take this exam.

Step-by-step explanation:

We are given that one of the tests provided by the NAEP assesses the reading skills of twelfth-grade students. In recent years, the national mean score was 289 and the standard deviation was 37.

Let X = <u><em>scores of the tests provided by the NAEP</em></u>

The z-score probability distribution for the normal distribution is given by;

                           Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = national mean score = 289

           \sigma = standard deviation = 37

Now, we have to find how high a score is needed to be in the top 25% of students who take this exam, that means;

            P(X > x) = 0.25     {where x is the required score}

            P( \frac{X-\mu}{\sigma} > \frac{x-289}{37} ) = 0.25

            P(Z > \frac{x-289}{37} ) = 0.25

In the z table, the critial value of z that represents the top 25% of the area is given as 0.6745, that is;

                        \frac{x-289}{37}=0.6745

                        {x-289}=0.6745\times 37

                        x = 289 + 24.96 = 313.96 ≈ 314

Hence, a score of 314 is needed to be in the top 25% of students who take this exam.

7 0
3 years ago
Use the circle to answer the questions​
insens350 [35]

Answer:

Diameter: 10.8 cm

Circumference (in terms of π): 10.8π cm

Circumference (approximate): 33.91 cm

Step-by-step explanation:

Hi there!

<u>We're given:</u>

  • The radius (5.4 cm)

<u>1) Determine the diameter</u>

d=2r

Multiply the radius 5.4 cm by 2

5.4 × 2 = 10.8

Therefore, the diameter of the circle is 10.8 cm.

<u>2) Determine the circumference of the circle</u>

C=\pi d

Plug in the diameter 10.8

C=10.8\pi

Therefore, the circumference of the circle in terms of π is 10.8π cm.

<u />

<u>3) Determine the approximate circumference of the circle </u>

C=10.8\pi\\C=10.8(3.14)\\C=33.91

Therefore, the approximate circumference of the circle is 33.91 cm.

I hope this helps!

5 0
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svetlana [45]
The first one, SAS Postulate
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Marla's mom bought a 36-pack of water bottles at the supermarket. Each bottle has 500 mL of water. How many liters of water is t
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Answer:

18 L

Step-by-step explanation:

36 packs * 500 mL =  18000 mL

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8.12 ×10^5 is the answer
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