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3 years ago

PLEASE HELP ASAP

Mathematics

2 answers:

inysia [295]3 years ago

7 0

If 2^y = 3, then:

(log to the base 2 of) 2^y = (log to the base 2 of) 3
or
y = log to the base 2 of 3

Note that y turns out to be a constant here.
We need to identify the graph that depicts (log to the base 2) of x, and once we have that, draw a vertical line thru x = 3 to estimate y.

Only the 3rd graph qualifies here. Note that all basic log graphs have an x-intercept of (1,0), as the 3rd graph does.

If we draw on the 3rd graph a vertical line thru x=3, we see that this vert. line intersects the curve at roughly y=1.5.

alexgriva [62]3 years ago

4 0

2^y = x
ln 2^y = ln x
y = ln x / ln 2

when y = 0 x = 1

The answer is the third graph

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Which of the answer choices could be the one missing data item for the following set, if the mode is 12?

crimeas [40]

Answer:

Step-by-step explanation:

first of all, what is mode: it is the highest occuring number in a set of numbers.

now since 12 is supposed to be the mean and it occurs twice but 9 also occurs twice so for 12 to be the mode, we must add one more 12.

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3 years ago

Read 2 more answers

Evgesh-ka [11]

Answer:

Height = 14.4

Step-by-step explanation:

The diagonals meet at right angles. Interesting property.

The hypotenuse is the side of the rhombus = 15 cm

One of the sides of the small triangles created by the intersection of the diagonals = 24/2 = 12

You can find the other side of the the triangle by using the Pythagorean Theorem

a^2 + b^2 = c^2

c = 15

a = 12

b = ?

12^2 + b^2 = 15^2

144 + b^2 = 225

b^2 = 225 - 144

b^2 = 81

b = 9

The area of this right angle = 9 * 12/2 = 54

There are 4 of them so 4 * 54 = 216

That's the area of the rhombus.

The h= Area / b

b = 15

h = 216/15

h = 14.4

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3 years ago

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mylen [45]

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A shoe manufacturer was investigating the weights of men's soccer cleats. He felt that the weight of these cleats was less than

aleksklad [387]

Answer:

The conclusion is that the researcher was correct

Step-by-step explanation:

From the question we are told that

The sample size is $n = 13$

The sample mean is $\= x = 9.63$

The standard deviation is $s = 0.585$

The significance level is $\alpha = 0.05$

The Null Hypothesis is $H_o : \mu = 0$

The Alternative Hypothesis is $H_a = \mu < 10$

The test statistic is mathematically represented as

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$t = \frac{9.63 - 10 }{\frac{0.585}{\sqrt{13} } }$

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$t_{\alpha } = 1.645$

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So comparing the critical value of alpha and the test value we see that the test value is less than the critical value so the Null Hypothesis is rejected

The conclusion is that the researcher was correct

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yKpoI14uk [10]

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