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3 years ago

Help pls i need this luv you guys ,<333

Mathematics

1 answer:

bagirrra123 [75]3 years ago

7 0

Answer:

x ≈ 3.1 ft

Step-by-step explanation:

The segment from the centre to the chord is a perpendicular bisector, thus

The triangle is right with base = $\frac{1}{2}$ x

Applying Pythagoras' identity to the right triangle, then

( $\frac{1}{2}$ x )² + 1.4² = 2.1²

$\frac{1}{4}$ x² + 1.96 = 4.41 ( subtract 1.96 from both sides )

$\frac{1}{4}$ x² = 2.45 ( multiply both sides by 4 )

x² = 9.8 ( take the square root of both sides )

x = $\sqrt{9.8}$ ≈ 3.1 ft ( to the nearest tenth )

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A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 430 gram setting. It is

Volgvan

Answer:

Null Hypothesis, $H_0$ : $\mu$ $\geq$ 430 gram {means that the machine is not under filling the bags}

Alternate Hypothesis, $H_A$ : $\mu$ < 430 gram {means that the machine is under filling the bags}

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 430 gram setting.

It is believed that the machine is under filling the bags. A 21 bag sample had a mean of 429 grams with a variance of 289.

Let $\mu$ = mean weight bag filling capacity of machine.

SO, Null Hypothesis, $H_0$ : $\mu$ $\geq$ 430 gram {means that the machine is not under filling the bags}

Alternate Hypothesis, $H_A$ : $\mu$ < 430 gram {means that the machine is under filling the bags}

The test statistics that will be used here is 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 = 429 grams

s = sample standard deviation = $\sqrt{289}$ = 17 grams

n = sample of bags = 21

So, test statistics = $\frac{429-430}{\frac{17}{\sqrt{21} } }$ ~ $t_2_0$

= -0.269

Now at 0.01 significance level, the t table gives critical value of -2.528 at 20 degree of freedom for left-tailed test. Since our test statistics is higher than the critical value of t as -0.269 > -2.528, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the machine is not under filling the bags.

3 0

2 years ago

Kristen just deposited $6,500 into a new bank account that pays 4.5% interest the first year and 3% compounded annually each yea

vladimir2022 [97]

This question is about compound interest, but since the interest is such a small number you can use what you know about simple interest to eliminate some answers.

You can immediately eliminate choice A as a clunker, since it is less than the original amount in the account.

Consider what the amount of interest would be if you make the rate much larger than the original rate, say 10%, or 0.1:

$6,500 × 0.1 = $650

If this amount were added to the original amount each year for two years, the total would be:

$6,500 + $650 + $650 = $6,500 + $1,300 = $7,800

This is an over-estimate for the information given, and since choices C and D are even greater than this over-estimate, they can be eliminated. That means choice B is the correct answer.

6 0

2 years ago

Read 2 more answers

What does the double bracket mean in this equation: f(x)=[[x]]

elena-s [515]

[[x]] means that the integer should be rounded down to the greatest integer that is of the same value as x or is lower than x.

4 0

3 years ago

What is our number system called

Len [333]

Step-by-step explanation:

Decimal system, also called Hindu-Arabic number system or Arabic number system, in mathematics, positional numeral system employing 10 as the base and requiring 10 different numerals, the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

3 0

2 years ago

14. A pitcher contains quart of lemonade.

Sergio039 [100]

Answer:

1/9 quart in each glass

Step-by-step explanation:

2/3) / 6

(2/3) * (1/6) = 2/18 = 1/9 quart in each glass

3 0

2 years ago