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2 years ago

PLEASE HELP NOW! I WILL MARK BRAINLIEST!

Mathematics

1 answer:

Natasha_Volkova [10]2 years ago

7 0

Answer:

17 units

Step-by-step explanation:

Given 2 congruent chords in the circle, then they are equidistant from the centre and perpendicular

There is a right triangle formed by legs 15 and 8, with radius r being the hypotenuse.

Using Pythagoras' identity in this right angle

r² = 15² + 8² = 225 + 64 = 289 ( take the square root of both sides )

r = $\sqrt{289}$ = 17

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3 years ago

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A study sampled 350 upperclassmen (Group 1) and 250 underclassmen (Group 2) at high schools around the city of Portland. The stu

iVinArrow [24]

Answer:

$-0.061 < P_1 -P_2< 0.025$

Step-by-step explanation:

Give data:

$n_1 = 350$

$n_2 =250$

$x_1 = 23$

$x_2 = 21$

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for 95% confidence interval

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$\hat{P} 1 - \hat{P} 2 \pm z_{\alpja/2} \sqrt{\frac{\hat{P} 1(1-\hat{P} 1)}{n_1} +\frac{\hat{P} 2(1-\hat{P} 2)}{n_2}}$

$(0.066 - 0.084) \pm 1.96 \sqrt{\frac{0.066(1-0.066)}{350} +\frac{0.084(1-0.084)}{250}}$

$-0.018 \pm 0.043$

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2 years ago

PLEASE HELP I WILL JIVE YOU 100 POINTS NEEDED ASAP

Anastaziya [24]

Answer:

0.3 galloons of water.

Step-by-step explanation:

We know that 1/5 galloons of water fills 2/3 of the bin.

So, we can write the following fraction:

$\frac{\frac{1}{5}\text{ galloons}}{\frac{2}{3}\text{ bin}}$

We want to find how many galloons will fill the entire bin or 1 whole bin. So, we can write the following proportion:

$\frac{\frac{1}{5}\text{ galloons}}{\frac{2}{3}\text{ bin}}=\frac{x\text{ galloons}}{1\text{ bin}}$

To find our answer, we need to solve for x.

So, let's cross-multiply. This yields:

$\frac{2}{3}x=\frac{1}{5}$

Multiply both sides by 3:

$3(\frac{2}{3}x)=3(\frac{1}{5})$

The left side simplifies. Multiply on the right:

$2x=\frac{3}{5}$

Now, multiply both sides by 1/2:

$\frac{1}{2}(2x)=\frac{1}{2}(\frac{3}{5})$

Simplify the left. Multiply on the right:

$x=\frac{3}{10}$

So, 3/10 of 0.3 of a gallon of water will fill the entire bin.

And we're done!

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