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Paul [167]
3 years ago
13

Question 4 (1 point)

Mathematics
1 answer:
lbvjy [14]3 years ago
6 0

Answer:

105 degrees (x2) & 75 degrees

Step-by-step explanation:  

Consecutive Angle Formulas

You might be interested in
Suppose that birth weights are normally distributed with a mean of 3466 grams and a standard deviation of 546 grams. Babies weig
Anon25 [30]

Answer:

3.84% probability that it has a low birth weight

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 = 3466, \sigma = 546

If we randomly select a baby, what is the probability that it has a low birth weight?

This is the pvalue of Z when X = 2500. So

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

Z = \frac{2500 - 3466}{546}

Z = -1.77

Z = -1.77 has a pvalue of 0.0384

3.84% probability that it has a low birth weight

3 0
3 years ago
Show that the equation x^3+6x-5=0 has a solution between x=0 and x=1
Mnenie [13.5K]

Answer:

Since the value of f(0) is negative and the value of f(1) is positive, then there is at least one value of x between 0 and 1 for which f(x) =0.

Step-by-step explanation:

The equation f(x) given is:

f(x) = x^3+6x-5

For x = 0. the value of the expression is:

f(0) = 0^3+0-5\\f(0) = -5

For x = 1, the value of the expression is:

f(1) = 1^3+6-5\\f(1)=2

Since the value of f(0) is negative and the value of f(1) is positive, then there is at least one value of x between 0 and 1 for which f(x) =0.

In other words, there is at least one solution for the equation between x=0 and x=1.

6 0
3 years ago
The radius of a small ball is around 4.89796 cm. the radius of a basketball is about 2.45 times larger. what is the ratio of the
expeople1 [14]
Formula for surface area of a sphere of radius r is A = 4pi*r^2.

The same formula, for the case where the radius is 2.45 times greater, comes out to A = 4pi*[2.45r]^2.

Just find the ratio of

4pi*r^2 to 4pi*[2.45r]^2.  It is 1/6.


6 0
4 years ago
A water tank in the shape of a rectangular has a volume of 900 cubic feet. It is 15 feet
True [87]
The height of the water tank is 6.

L x W x H = V (volume)
15 x 10 x 6 = 900 cubic feet

6 0
2 years ago
Use the order of operations to simplify 43/5 + 15 / 5 - 1/5.
Iteru [2.4K]

Answer:

:<

Step-by-step explanation:

i really tried but its not the answer v-v

5 0
3 years ago
Read 2 more answers
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