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Vadim26 [7]
3 years ago
13

A car wheel has a diameter of 20.8 inches.

Mathematics
2 answers:
m_a_m_a [10]3 years ago
7 0

Answer:

  • 65.312 inches
  • 326.56 inches
  • 1959.36 inches

Step-by-step explanation:

<h3>Given</h3>
  • d = 20.8 inches
<h3>To find</h3>
  • Travel in 1, 5, 30 rotations
<h3>Solution</h3>

<u>Circumference of the wheel is equal to one full rotation</u>

  • C = πd = 3.14*20.8 = 65.312 inches
  • 5C = 5*65.312 = 326.56 inches
  • 30C = 30*65.312 = 1959.36 inches
Flauer [41]3 years ago
6 0

Answer:

1 rotation: 65.312 inches

5 rotations: 326.56 inches

30 rotations: 1959.36 inches

Circumference = π and diameter

3.14 x 20.8 = 65.312 inches

5C = 5 x 65.312 = 326.56 inches

30C = 30 x 65.312 = 1959.36 inches

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How many students must be randomly selected to estimate the mean weekly earnings of students at one college? We want 95% confide
kari74 [83]

Answer:

The sample of students required to estimate the mean weekly earnings of students at one college is of size, 3458.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population mean (<em>μ</em>) is:

CI=\bar x\pm z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}

The margin of error of a (1 - <em>α</em>)% confidence interval for population mean (<em>μ</em>) is:

MOE=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}

The information provided is:

<em>σ</em> = $60

<em>MOE</em> = $2

The critical value of <em>z</em> for 95% confidence level is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Compute the sample size as follows:

MOE=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}

       n=[\frac{z_{\alpha/2}\times \sigma }{MOE}]^{2}

          =[\frac{1.96\times 60}{2}]^{2}

          =3457.44\\\approx 3458

Thus, the sample of students required to estimate the mean weekly earnings of students at one college is of size, 3458.

8 0
3 years ago
A 5x5 table is filled with numbers (one number per cell). It is known that the product of 5 numbers in each column is negative.
Advocard [28]

Answer:

Yes

Step-by-step explanation:

A negative multiplied by another negative will turn into a positive. A positive multipled by a negative will stay as a negative.

5 0
3 years ago
The value of the function f(x) = 3x squared minus 2x for x =4
goldenfox [79]

Answer:

Answer is 40.

Step-by-step explanation:

7 0
3 years ago
Given right triangle QRS, what is the value of sin(30°)? StartFraction StartRoot 3 EndRoot Over 3 EndFraction One-half StartFrac
baherus [9]

Answer:

Option 2: \sin(30)=\frac{1}{2}

Step-by-step explanation:

Given:

From the triangle shown below;

A triangle QRS with angle QRS = 90°, ∠QSR = 30°.

Side QR = 5, SQ = 10 and RS = 5√3

Now, we know from trigonometric ratio that,

\sin (A) = \frac{Opposite\ side}{Hypotenuse}

Here, opposite side of angle QSR is QR and Hypotenuse is the side opposite angle QRS which is SQ. Therefore,

\sin(\angle QSR)=\dfrac{QR}{SQ}\\\\\\\sin(30)=\dfrac{5}{10}\\\\\\\sin(30)=\dfrac{5}{2\times 5}=\dfrac{1}{2}

Therefore, the value of sine of 30° is one-half. So, second option is correct.

6 0
3 years ago
Read 2 more answers
P: 2,012
Hunter-Best [27]

El volumen que queda entre la esfera y el cubo es:  30.49cm^3

<h3>¿Como calcular el volume sobrante?</h3>

El volumen sobrante será simplemente la diferencia entre el volumen del cubo y el volumen de la esfera.

Para el cubo que tiene una arista de 4cm, el volumen es:

V = (4cm)^3 = 64 cm^3

Para la esfera con un diametro de 4cm, el radio es:

R = 4cm/2 = 2cm

Y el volumen será:

V' = (4/3)*3.141592654*(2cm)^3 = 33.51 cm^3

El volumen que queda entre la esfera y el cubo es:

V - V' = 64 cm^3 - 33.51 cm^3 = 30.49cm^3

Sí quieres aprender más sobre volumenes:

brainly.com/question/1972490

#SPJ1

5 0
1 year ago
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