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3 years ago

Please I need help!!!!

Mathematics

1 answer:

djyliett [7]3 years ago

3 0

Answer:

512

Step-by-step explanation:

8x8x8

64x8

512

tell me if im right :)

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The mean SAT score in mathematics, M, is 600. The standard deviation of these scores is 48. A special preparation course claims

kupik [55]

Answer:

Step-by-step explanation:

The mean SAT score is $\mu=600$ , we are going to call it \mu since it's the "true" mean

The standard deviation (we are going to call it $\sigma$ ) is

$\sigma=48$

Next they draw a random sample of n=70 students, and they got a mean score (denoted by $\bar x$ ) of $\bar x=613$

The test then boils down to the question if the score of 613 obtained by the students in the sample is statistically bigger that the "true" mean of 600.

- So the Null Hypothesis $H_0:\bar x \geq \mu$

- The alternative would be then the opposite $H_0:\bar x < \mu$

The test statistic for this type of test takes the form

$t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}$

and this test statistic follows a normal distribution. This last part is quite important because it will tell us where to look for the critical value. The problem ask for a 0.05 significance level. Looking at the normal distribution table, the critical value that leaves .05% in the upper tail is 1.645.

With this we can then replace the values in the test statistic and compare it to the critical value of 1.645.

$t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}\\\\= \frac{| 600-613 |}{48/\sqrt(70}}\\\\= \frac{| 13 |}{48/8.367}\\\\= \frac{| 13 |}{5.737}\\\\=2.266\\$

<h3>since 2.266>1.645 we can reject the null hypothesis.</h3>

6 0

4 years ago

Read 2 more answers

A square pyramid has a base with side lengths each measuring 40 inches. The pyramid is 21 inches tall, with a slant height of 29

Alchen [17]

Answer

Find out the what is the surface area of the pyramid .

To proof

Formula

Surface area of a square pyramid

$= a^{2} + 2a \sqrt{\frac{a^{2}}{4} +h^{2}$

Where a is the base edge and h be the height .

As given

A square pyramid has a base with side lengths each measuring 40 inches. The pyramid is 21 inches tall, with a slant height of 29 inches.

i.e Base edge = 40 inches

Height = 21 inches

Put values in the above formula

$= 40^{2} + 2\times40\times\sqrt{\frac{40^{2}}{4} +21^{2}$

solving

$= 1600 + 80 \sqrt{\frac{1600}{4} + 441$

$= 1600 + 80\times\sqrt{841}$

$\sqrt{841} = 29$

= 1600 + 80 × 29

= 3920 inches²

Therefore the surface area of the pyramid is 3,920 inches²

Hence proved

4 0

3 years ago

Read 2 more answers

You spend 8 hours each weekday at school. Write the portion of a weekday spent a school as a fraction, decimal, and a percent. W

tankabanditka [31]

Answer: 32/56, 0.57, 57% rounded = 60%

Step-by-step explanation: 8 times 7 =56 and 8 times 4= 32. our fraction is 32/56. divide 32 by 56 to make out a decimal= 0.57. Multiply 0.57 by 100 to make out a percent = 57%

3 0

3 years ago

Kamrynn is looking at her five quiz scores of 96 90 94 93 and 90. Determine the mean rounded to the nearest tenth median mode an

Romashka [77]

Answer:

Mean = 90, Median = 93, Mode = 90, Range = 6

Step-by-step explanation:

Mean:

96 + 90 + 94 + 93 + 90 = 463

463 ÷ 5 = 92.5

92.5 to nearest tenth = 90

Mean = 90

Median:

90, 90, 93, 94 ,96

Median = 93

Mode

96, 90, 94, 93, 90

Mode = 90

Range:

96 - 90 = 6

Range = 6

8 0

2 years ago

In a test, John was able to answer 15 correct out of 40 questions. Beth was able to answer 24 questions correctly out of 50. Mic

Helen [10]

Answer:

that is wrong beth has a better score

Step-by-step explanation:

14 out of 40 is 37.5%

and 24 out of 50 is 48%

4 0

3 years ago