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3 years ago

44 points in 4 quarters

Mathematics

1 answer:

IgorLugansk [536]3 years ago

4 0

28 11 points in 1 quarter because 44/4=11 which is 11/1

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What is the logical conclusion, based upon the information given in the

Stolb23 [73]

Clearly says Bleeker is before Astor Place.

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3 years ago

An article reported that in a large study carried out in the state of New York, approximately 60% of the study subjects lived wi

DerKrebs [107]

Answer:

95.86%.

Step-by-step explanation:

Problems of normally distributed samples can be 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:

$\mu = 0.6, \sigma = \sqrt{\frac{p(1-p)}{n}} = 0.0245$

$P(0.55 \leq x \leq 0.65$

This probability is the pvalue of Z when $X = 0.65$ subtracted by the pvalue of Z when $X = 0.55$ . So

X = 0.65

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

$Z = \frac{0.65 - 0.6}{0.0245}$

$Z = 2.04$

$Z = 2.04$ has a pvalue of 0.9793

X = 0.55

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

$Z = \frac{0.55 - 0.6}{0.0245}$

$Z = -2.04$

$Z = -2.04$ has a pvalue of 0.0207

So this probability is 0.9793 - 0.0207 = 0.9586 = 95.86%.

5 0

3 years ago

1. (x + 4)(x-6) 2. (3x + 4)(3x - 4) 3. x^ - 9x + 18 Please help me solve

zloy xaker [14]

Answers:
1. x^2 - 2x - 24
2. 9x^2 - 16
3. (x - 3)(x - 6)

8 0

3 years ago

Identify each expression that represents the slope of a tangent to the curve y=1/x+1 at any point (x,y) .

tankabanditka [31]

Answer:

Slope of a tangent to the curve = $f'(x) = \frac{-1 }{(x+1)^{2} }$

Step-by-step explanation:

Given - y = 1/x+1

To find - Identify each expression that represents the slope of a tangent to the curve y=1/x+1 at any point (x,y) .

Proof -

We know that,

Slope of tangent line = f'(x) = $\lim_{h \to 0} \frac{f(x+h) - f(x)}{h}$

We have,

f(x) = y = $\frac{1}{x+1}$

So,

f(x+h) = $\frac{1}{x+h+1}$

Now,

Slope = f'(x)

And

$f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h} \\= \lim_{h \to 0} \frac{\frac{1}{x+h+1} - \frac{1}{x+1} }{h}\\= \lim_{h \to 0} \frac{x+1 - (x+h+1) }{h(x+1)(x+h+1)}\\= \lim_{h \to 0} \frac{x +1 - x-h-1 }{h(x+1)(x+h+1)}\\= \lim_{h \to 0} \frac{-h }{h(x+1)(x+h+1)}\\= \lim_{h \to 0} \frac{-1 }{(x+1)(x+h+1)}\\= \frac{-1 }{(x+1)(x+0+1)}\\= \frac{-1 }{(x+1)(x+1)}\\= \frac{-1 }{(x+1)^{2} }$

∴ we get

Slope of a tangent to the curve = $f'(x) = \frac{-1 }{(x+1)^{2} }$

6 0

3 years ago

The radius of a circle is 3 feet. What is the circle's area?

seraphim [82]

The area of the circle is 28.26 ft^2

3 0

3 years ago

Read 2 more answers