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4 years ago

1) Uma sala tem o formato de um trapézio, determine a área dessa sala.(a) 10,4 m² (b) 25,6 m² (c) 12,8 m² (d) 15,2 m²

Mathematics

1 answer:

Soloha48 [4]4 years ago

6 0

Answer:

A opção correta é;

c) 12,8 m²

Step-by-step explanation:

A área de um trapézio = 1/2 × (distância perpendicular entre os lados paralelos) × (soma dos comprimentos dos lados paralelos)

No diagrama da pergunta, os comprimentos dos lados paralelos são;

3,8 me 2,6 m

A distância perpendicular entre os lados paralelos = 4 m

∴ área do trapézio = 1/2 (3,8 + 2,6) × 4 = 12,8 m²

Portanto, a área da sala = 12,8 m².

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3 years ago

The national mean SAT score in math is 550. Suppose a high school principal claims that the mean SAT score in math at his school

creativ13 [48]

Answer:

Option B) Reject the null hypothesis. There is sufficient evidence to suggest that the students' mean SAT score is greater than 550. The principal was right.

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Step-by-step explanation:

We are given that the population mean, $\mu$ = 550 {National mean SAT score}

We have to test the principal claim that the mean SAT score in math at his school is better than the national mean score or not.

Let Null Hypothesis, $H_0$ : $\mu$ = 550

Alternate Hypothesis, $H_1$ : $\mu$ > 550

The test statistics we will use here is;

$\frac{Xbar - \mu}{\frac{\sigma}{\sqrt{n} } }$ follows N(0,1)

where, Xbar = 574 and $\sigma$ (Population standard deviation) = 100

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Test Statistics = $\frac{574 - 550}{\frac{100}{\sqrt{72} } }$ = 2.036

Now at 5% level of significance the z table gives the critical value of 1.6449 and our test statistics is more than this as 2.036 > 1.6449 so we have sufficient evidence to reject null hypothesis and conclude that there is sufficient evidence to suggest that the students' mean SAT score is greater than 550. The principal was right.

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4 years ago

Question 9 options:

masya89 [10]

Answer:

Angle X is 122°

Step-by-step explanation:

Because it's a 180° line (supplementary angle thm):

180°-58°=122°

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