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irakobra [83]
3 years ago
13

When renting canoes, there is an initial fee that is the same for all rentals and an hourly fee for

Mathematics
1 answer:
irga5000 [103]3 years ago
7 0

Answer:

c(h)=10h+15

Step-by-step explanation:

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In the journal Knowledge Quest (January/February 2002), education professors at the University of Southern California investigat
Greeley [361]

Answer:

a,b) x represents the general attitude of these students toward recreational reading.

c) The 10th percentile of sample means is 102.51.

d) P(x < 100) = 0.01390

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}

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 This p-value is the probability that the value of the measure is greater than X.

In this case, we have that:

The mean score for this population of children was 106 points, with a standard deviation of 16.4 points, so \mu = 106, \sigma = 16.4.

a,b) What is x?

x represent the mean recreational reading attitude score for the sample. So x represents the general attitude of these students toward recreational reading.

c) What sample mean would be the cutoff for the bottom 10% of sample means. (You are being asked for the 10th percentile of sample means.)

This is the value of X when Z has a pvalue of 0.10.

Looking at the Z table, that is Z = -1.28.

We are working with the mean of the sample, so we have to find the standard deviation of the sample. That is

s = \frac{\sigma}{\sqrt{n}} = \frac{16.4}{\sqrt{36}} = 2.73

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

-1.28 = \frac{X - 106}{2.73}

X - 106 = -1.28*2.73

X = 102.51

The 10th percentile of sample means is 102.51.

d) Find P(x < 100).

This is the pvalue of Z when X = 100.

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

Z = \frac{100 - 106}{2.73}

Z = -2.20

Z = -2.20 has a pvalue of 0.01390.

So P(x < 100) = 0.01390.

6 0
3 years ago
What is the surface area of the triangular prism?
Marizza181 [45]

Answer:

222 cm²

Step-by-step explanation:

Each triangle's area is 6 cm², each side rectangle's area is 75 cm², and the bottom rectangle's area is 60 cm². Since there are two triangles, two side rectangle's, and one bottom rectangle, you would add all of their areas together:

6 + 6 + 75 + 75 + 60 leads you to the answer of 222 cm².

8 0
3 years ago
-1x + 4y &lt;4<br> how to slove this
vazorg [7]

Answer: y = 1/4x + 1

mark me as Brainliest

6 0
3 years ago
Evaluate the definite integral. 1/4 csc(2πt) cot(2πt) dt 1/12
Afina-wow [57]
Hey there, hope I can help!

\frac{1}{4}\csc \left(2\pi t\right)\cot \left(2\pi t\right)dt\frac{1}{12}

\mathrm{Multiply\:fractions}: \:a\cdot \frac{b}{c}\cdot \frac{d}{e}=\frac{a\:\cdot \:b\:\cdot \:d}{c\:\cdot \:e} \ \textgreater \  \frac{1\cdot \:1\cdot \:dt}{4\cdot \:12}\csc \left(2\pi t\right)\cot \left(2\pi t\right)

\mathrm{Apply\:rule}\:1\cdot \:a=a \ \textgreater \  \frac{dt}{4\cdot \:12}\csc \left(2\pi t\right)\cot \left(2\pi t\right)

\mathrm{Multiply\:the\:numbers:}\:4\cdot \:12=48 \ \textgreater \  \frac{dt}{48}\csc \left(2\pi t\right)\cot \left(2\pi t\right)

\mathrm{Multiply\:fractions}: \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c} \ \textgreater \  \frac{dt\csc \left(2\pi t\right)\cot \left(2\pi t\right)}{48}

Hope this helps!
5 0
3 years ago
PLS HELP ITS MY FINAL EXAM What is the area of the base of the cone below? A cone with height 12 feet and volume 90 feet cubed.
hoa [83]

Answer:

A=22.5\ \text{feet}^2

Step-by-step explanation:

We have,

Height of a cone is 12 feet

Volume of the cone is 90 feet

It is required to find the area of the base of the cone.

The base of a cone is circular in shape.

The formula used to find the volume of a cone is given by :

V=\dfrac{1}{3}\pi r^2 h

here, \pi r^2=A (area of base of cone)

V=\dfrac{1}{3}\times Ah\\\\A=\dfrac{3V}{h}\\\\A=\dfrac{3\times 90}{12}\\\\A=22.5\ \text{feet}^2

So, the area of the base of the cone is 22.5\ \text{feet}^2.

3 0
3 years ago
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