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2 years ago

Find the missing side of the triangle

Mathematics

2 answers:

Vilka [71]2 years ago

5 0

Answer:

the missing side of triangle is

$\sqrt{y {}^{2} - {26}^{2}}$

masya89 [10]2 years ago

3 0

Answer:

y = 66.66

Step-by-step explanation:

<u>Use trigonometry:</u>

cosine = adjacent / hypotenuse
cos 67° = 26/y
y = 26 / cos 67°
y = 26 / 0.39
y = 66.66

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This is an angle whose measure is between 0 degrees and 90 degrees.

Dmitry_Shevchenko [17]

45 degrees because half of 90 is 45

6 0

3 years ago

Which expression should you simplify to find the 90% confidence interval,

bogdanovich [222]

Answer:

$0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.2870.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613$

we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613

Step-by-step explanation:

The estimated proportion of interest is $\hat p=0.45$

We need to find a critical value for the confidence interval using the normla standard distributon. For this case we have 95% of confidence, then the significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ .

And the critical value is: $z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the true population proportion is interest is given by this formula:

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

Replacing the values provided we got:

$0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.287\\\\0.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613$

And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613

5 0

3 years ago

a baker has 10 cups of sugar to make cookies each batch calls for 1 1/3 cups sugar how many batches can he make

Nata [24]

4/3 x 7=9.3333
4/3 x 8=10.666
Can't go over 10, so you can only make 7 batches.
Hope I've helped!

6 0

3 years ago

The lowest elevation in Vermont is 95 feet above sea level. The lowest elevation in Louisiana is 8 feet below sea level. What in

malfutka [58]

Answer:-95

Idk if it’s correct

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2 years ago

Jayden leans a 30-foot ladder against a wall so that it forms an angle of 65 ∘ with the ground. How high up the wall does the la

vaieri [72.5K]

Answer:

27.19 ft.

Step-by-step explanation:

sin 65 = x/30

sin 65(30) = x

27.189 ≈27.19

8 0

2 years ago