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3 years ago

In the triangle shown, B=60 and AC=9√3 how long is AB answer exactly, use a radical if needed

Mathematics

1 answer:

zavuch27 [327]3 years ago

5 0

Length of AB is 18

Step-by-step explanation:

Step 1: Find length of AB when AC = 9√3 and ∠B = 60°. Use trigonometric ratio sine.

sin 60 = opposite side/hypotenuse = 9√3/x

x = 9√3/sin 60

= 9√3/√3/2 = 9√3 × 2/√3 (∵ a ÷ b = a×1/b)

= 18

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A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 402 gram setting. It is

lidiya [134]

Answer:

The value of t test statistics is -2.25.

Step-by-step explanation:

We are given that a manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 402 gram setting. It is believed that the machine is under filling the bags.

A 25 bag sample had a mean of 393 grams with a standard deviation of 20.

Let $\mu$ = mean filling of bags by the machine.

So, Null Hypothesis, $H_0$ : $\mu \geq$ 402 gram {means that the the machine is not under filling the bags}

Alternate Hypothesis, $H_A$ : $\mu$ < 402 gram {means that the the machine is under filling the bags}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean bag filling = 393 grams

s = sample standard deviation = 20 grams

n = sample of bags = 25

So, test statistics = $\frac{393-402}{\frac{20}{\sqrt{25} } }$ ~ $t_2_4$

= -2.25

The value of t test statistics is -2.25.

5 0

3 years ago

The price of milk is $3.75 circled the price of going around to the nearest dollar

Triss [41]

3.75.....rounded to the nearest dollar would be 4.00

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2 years ago

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\frac{5}{9}+\frac{y}{3} Welp

Sergeeva-Olga [200]

The answer is 3y+5/9.

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2 years ago

Y-3=2(x+1) complete the missing value in the solution of the equation. (-1, __ )

Dvinal [7]

Answer:

Step-by-step explanation:

Distribute:

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3 years ago

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A politician claims that 20% of the millions of votes cast for his opponent are fraudulent. To test this claim, an investigator

Elis [28]

Answer:

"0.0125" is the right solution.

Step-by-step explanation:

The given values are:

Random sample,

n = 90

Claims,

p = 20%

or,

= 0.20

By using normal approximation, we get

⇒ $\mu = np$

On substituting the values, we get

⇒ $=90\times 0.20$

⇒ $=18$

Now,

The standard deviation will be:

⇒ $\sigma=\sqrt{np(1-p)}$

On putting the above given values, we get

⇒ $=\sqrt{90\times 0.20\times (1-0.20)}$

⇒ $=\sqrt{18\times 0.8}$

⇒ $=\sqrt{14.4}$

⇒ $=3.7947$

hence,

By using the continuity correction or the z-table, we get

⇒ $P(x < 10) = P(x < 9.5)$

⇒ $P(x < 10) = P(\frac{x-\mu}{\sigma} -\frac{9.5-18}{3.7947} )$

⇒ $P(x < 10) = P(Z < -2.24)$

From table,

⇒ $P(x < 10) = 0.0125$

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3 years ago