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liq [111]
3 years ago
9

In ΔABC, the measure of ∠C=90°, BC = 24 feet, and CA = 86 feet. Find the measure of ∠A to the nearest tenth of a degree.

Mathematics
1 answer:
Mariulka [41]3 years ago
3 0

Answer:

A=15.5928≈15.6

Step-by-step explanation:

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Maurinko [17]

Answer:

3 Cubic x3−x2+5

Step-by-step explanation:

7 0
3 years ago
Which situation can be modeled by the inequality 65-8x>9
emmasim [6.3K]

Answer:

x<7

Step-by-step explanation:

65-8x>9

-8x>9-65

-8x>-56

x<7

5 0
2 years ago
Read 2 more answers
PLEASE HELP ME I BEG I WILL GIVE BRAINLIEST
ohaa [14]

Answer:

Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484

Standard deviation = √(0.1484/6

s = 0.16

Standard error = s/√n = 0.16/√6 = 0.065

Part B

Confidence interval is written as sample mean ± margin of error

Margin of error = z × s/√n

Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5

Therefore, z = 3.365

Margin of error = 3.365 × 0.16/√6 = 0.22

Confidence interval is 2.48 ± 0.22

Part C

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 2.3

For the alternative hypothesis,

H1: µ > 2.3

This is a right tailed test

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 6

Degrees of freedom, df = n - 1 = 6 - 1 = 5

t = (x - µ)/(s/√n)

Where

x = sample mean = 2.48

µ = population mean = 2.3

s = samples standard deviation = 0.16

t = (2.48 - 2.3)/(0.16/√6) = 2.76

We would determine the p value using the t test calculator. It becomes

p = 0.02

Assuming significance level, alpha = 0.05.

Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.

Step-by-step explanation:

7 0
3 years ago
Need help I forgot how to do this ​
Marat540 [252]

Answer:

A.

Step-by-step explanation:

you have to find the discriminant

b²-4ac for each equation

if discriminant < 0 no real solutions because will be negative under the squareroot whhan you try to find the roots

if discriminant = 0 there is only one solution

if discriminant > 0 two real solutions

for your given problems

A. discriminant =(-2)²-4*2*15 will be negative

8 0
3 years ago
1/4 x 2/5 x 3/6 x 4/7 x 5/8 x 6/9 x 7/n=?
postnew [5]

Answer:

c. \frac{1}{12n} = {[12n]}^{-1}

Step-by-step explanation:

[\frac{1}{4}][\frac{2}{5}][\frac{1}{2}][\frac{4}{7}][\frac{5}{8}][\frac{2}{3}][\frac{7}{n}] = \frac{560}{6720n} = [12n]^{-1} = \frac{1}{12n}

\frac{2}{3} = \frac{6}{9}\\ \\ \frac{1}{2} = \frac{3}{6}

* To make this simpler, reduce these two fractions in lowest terms.

I am joyous to assist you anytime.

8 0
3 years ago
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