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2 years ago

An ice cream cone has a height of 14 cm and

Mathematics

1 answer:

sergejj [24]2 years ago

6 0

Answer:

height of cone(h)=14cm

volume of cone(v)=528cm³

radius of cone =?

now,

by using formula

v=1/3πr²h
528=1/3A×r²×14
r²=113.14
r=4.83cm

hope it helps.

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In ΔRST, r = 53 inches, ∠S=6° and ∠T=58°. Find the length of s, to the nearest inch.

yaroslaw [1]

Answer:

s = 6 inches

Step-by-step explanation:

Given:

r = 53 inches,

∠S = 6°

∠T = 58°.

Required:

Length of s

Solution:

Use Sine Rule

Thus:

$\frac{s}{Sin(S)} = \frac{r}{Sin(R)}$

<R = 180 - (58 + 6)

<R = 116°

r = 53 inches,

∠S = 6°

s = ?

Plug in the values

$\frac{s}{Sin(6)} = \frac{53}{Sin(116)}$

Multiply both sides by Sin(6)

$\frac{s}{Sin(6)} \times Sin(6) = \frac{53}{Sin(116)} \times Sin(6)$

$s = \frac{53 \times Sin(6)}{Sin(116)}$

$s = 6 inches$ (nearest inch)

7 0

2 years ago

I rlly need help with this :(

kobusy [5.1K]

Using the normal distribution, it is found that:

a) The pilot is at the 72th percentile.

b) 19.13% of pilots are unable to fly.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 72.6, \sigma = 2.7$ .

Item a:

The percentile is the <u>p-value of Z when X = 74.2</u>, hence:

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

$Z = \frac{74.2 - 72.6}{2.7}$

Z = 0.59

Z = 0.59 has a p-value of 0.7224.

72th percentile.

Item b:

The proportion that is able to fly is the <u>p-value of Z when X = 78 subtracted by the p-value of Z when X = 70</u>, hence:

X = 78:

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

$Z = \frac{78 - 72.6}{2.7}$

Z = 2

Z = 2 has a p-value of 0.9772.

X = 70:

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

$Z = \frac{70 - 72.6}{2.7}$

Z = -0.96

Z = -0.96 has a p-value of 0.1685.

0.9772 - 0.1685 = 0.8087 = 80.87%.

Hence the percentage that is unable to fly is:

100 - 80.87 = 19.13%.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

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2 years ago

La frase lingüística "cuatro veces un número dividido por la suma de dos

polet [3.4K]

Answer:

Las opciones no se pueden ver, así que responderé de una forma general.

Primero rompamos la frase en partes más cortas

"cuatro veces un número..."

Esto se escribe como 4*N, donde N es el número.

"... la suma de dos

números"

Esto se escribe como K + M

donde K y M son dos números, entonces K + M es la suma de dos números.

Entonces:

"cuatro veces un número dividido por la suma de dos

números"

Se escribirá como:

(4*N)/(K + M )

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49 is not a prime number, 7*7 is 49 so if you have 7 selves you can fit 7 books on to each self

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The answer is ¨A¨ or the first option :)

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