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timama [110]
3 years ago
10

Find the value of the missing variables.

Mathematics
1 answer:
dsp733 years ago
6 0

Answer:

x^{\circ}=35^{\circ}\\ \\y^{\circ}=55^{\circ}

Step-by-step explanation:

The measure of arc which the right triange cuts from the circle is 70^{\circ}, this means the central angle has the same measure.

Angle with measure x^{\circ} is inscribed angle subtended on the given arc. Its measure is half the measure of the central angle, hence

x^{\circ}=\dfrac{1}{2}\cdot 70^{\circ}=35^{\circ}

Angles with measures x^{\circ} and y^{\circ} are complementary angles (add up to 90°), so

y^{\circ}=90^{\circ}-35^{\circ}=55^{\circ}

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480 in.

Step-by-step explanation:

10 in. × 8 in. × 6 in. = 480 in.

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2072 divided by 37! Pleaseeeeeeeeee
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Will give brainliest if you are right.
miv72 [106K]

Answer:

x-int (2, 0)

y-int (0, 3)

General Formulas and Concepts:

  • The y-intercept is the y value when x = 0.  Another way to reword that is when the graph crosses the y-axis.
  • The x-intercept is the x value when y = 0.  Another way to reword that is when the graph crosses the x-axis.

Step-by-step explanation:

<u>Step 1: Locate x-intercept</u>

x-int (2, 0)

<u>Step 2: Locate y-intercept</u>

y-int (0, 3)

8 0
3 years ago
The estimate of the population proportion should be within plus or minus 0.02, with a 90% level of confidence. The best estimate
Rudiy27

Answer:

The sample size required is 910.

Step-by-step explanation:

The confidence interval for population proportion is:

CI=\hat p\pm z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }

The margin of error is:

MOE=z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }

Given:

\hat p = 0.16\\MOE= 0.02\\Confidence\ level =0.90

The critical value of <em>z</em> for 90% confidence level is:

z_{\alpha /2}=z_{0.10/2}=z_{0.05}=1.645 *Use a standard normal table.

Compute the sample size required as follows:

MOE=z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }\\0.02=1.645\times \sqrt{\frac{0.16(1-0.16)}{n} }\\n=\frac{(1.645)^{2}\times 0.16\times (1-0.16)}{(0.02)^{2}} \\=909.2244\\\approx910

Thus, the sample size required is 910.

5 0
3 years ago
0.23 or 2.3% which is greater?
lisabon 2012 [21]

Answer:

0.23

Step-by-step explanation:

2.3% = 0.023

So 0.23*100=23% therefore larger than 2.3%


Any questions feel free to ask. Thanks

8 0
3 years ago
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