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Sever21 [200]
3 years ago
6

( Click on the photo to see fully)

Mathematics
1 answer:
Firlakuza [10]3 years ago
7 0

Though these segments aren't marked congruent in the diagram, the two lines inside the circle making up the bases of the triangles are congruent as all radii are congruent. So the triangles are congruent by SAS.

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Rewrite e^{x}= y into logarithmic form.
Aleksandr-060686 [28]

Answer:

x=\ln{y}

Step-by-step explanation:

The natural logarithm function is the inverse of the natural exponential function.  

\text{power}=\text{base}^{\text{exponent}}\\\\\text{exponent} \: =\: \log_\text{base}{\text{power}

are equivalent.

6 0
2 years ago
Type in the correct value for m... (Only the numerical answer)<br> 369 + m = 908
Hunter-Best [27]
Answer

M = 539

Expo nation
4 0
2 years ago
Suppose that the sitting​ back-to-knee length for a group of adults has a normal distribution with a mean of mu equals 24.4 in.
solong [7]

Answer:

P(X \geq 26.6) = 0.0336, which is greater than 0.01. So a back-to-knee length of 26.6 in. is not significantly high.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 24.4, \sigma = 1.2

In this problem, a value x is significantly high if:

P(X \geq x) = 0.01

Using these​ criteria, is a​ back-to-knee length of 26.6 in. significantly​ high?

We have to find the probability of the length being 26.6 in or more, which is 1 subtracted by the pvalue of Z when X = 26.6. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{26.6 - 24.4}{1.2}

Z = 1.83

Z = 1.83 has a pvalue of 0.9664.

1 - 0.9664 = 0.0336

P(X \geq 26.6) = 0.0336, which is greater than 0.01. So a back-to-knee length of 26.6 in. is not significantly high.

6 0
3 years ago
If f(x)=x^4+3x^3-x^2+6, find f(-3).
docker41 [41]

Answer:

f(-3) = -3

Step-by-step explanation:

Step 1: f(x) means "f of x" and f(-3) means "f of -3", so you have to replace all the "x" letters in the function with the value -3.

f(x)=x^4+3x^3-x^2+6\\f(-3)=(-3)^4+3(-3)^3-(-3)^2+6

Step 2: Apply the exponents. <em>Make sure you remember to put in the -3 and not just 3.</em>

f(-3)=81+3(-27)-9+6

Step 3: Use BEDMAS rules to complete the calculation.

f(-3)=81-81-9+6

f(-3)=-3

Therefore the answer is f(-3) = -3.

4 0
3 years ago
Prepare depreciation schedules using Straight-Line, Units-of-Production, and Double-Declining Balance Depreciation.
Elden [556K]

Answer:

f

Step-by-step explanation:

f

4 0
2 years ago
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