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Mkey [24]
1 year ago
14

A circle rolls once, without slipping, along the outside of a square with sides of length 4 inches, and returns to its starting

point at A. The radius of the circle is 1 inch. To the nearest hundredth of an inch. how far does the center of the circle travel? (Use 3.14 for pi)
PLS PLS HELP. And show work and explain!

Mathematics
1 answer:
pentagon [3]1 year ago
3 0

Answer:

16 inches

Step-by-step explanation:

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El producto de dos números consecutivos es 552 cuáles son esos números?
lara31 [8.8K]

Answer: 23 y 24 ( ó -23 y -24)

Step-by-step explanation:

Dos números consecutivos se escriben como:

n y (n + 1)

done n es un numero entero.

Entonces "El producto de dos números consecutivos es 552"

Se escribe como:

n*(n + 1) = 552

n^2 + n = 552

n^2 + n - 552 = 0

Tenemos una cuadrática, las posibles soluciones son obtenidas con la formula de Bhaskara.

n = \frac{-1 +- \sqrt{1^2 - 4*1*(-552)} }{2} = \frac{-1 +- 47}{2}

Las dos soluciones son.

n = (-1 - 47)/2 = -48/2 = -24

n = (-1 + 47)/2 = 46/2 = 23

Si tomamos la primer solución, n = -24

Entonces los dos números consecutivos son:

n = -24

(n + 1) = -23

Si n = 23 entonces

n + 1 = 24

Lo cual tiene sentido, por que lo único que cambia son los signos, los cuales se cancelarían en la multiplicación.

7 0
1 year ago
Which model shows 64−−√3=4 ?
Kipish [7]

Answer:

Step-by-step explanation:

model C

7 0
2 years ago
7. A hotelier conducted a survey of guests staying at her hotel. The table shows some
jonny [76]

Answer:

here's the solution :-

Step-by-step explanation:

i hope it helped...

8 0
2 years ago
Anika wants to determine The maximum number of tulip bulbs (T) she can purchase if each bulb costs $1.50. She will also need to
PtichkaEL [24]
T( 1.50+ 1.25) + 10.00 < 20.00 2.75t + 10.00 < 20.00 2.75t < 10.00 T < 3.63 Partial bulbs and puts can't be bought, so Anika cannot spent the full $20.00. Therefore, t < 3 if t can be a whole number.
6 0
2 years ago
Read 2 more answers
A candy maker produces mints that have a label weight of 20.4 grams. Assume that the distribution of the weights of these mints
Sliva [168]

Answer:

a)0.099834

b) 0

Step-by-step explanation:

To solve for this question we would be using , z.score formula.

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

A candy maker produces mints that have a label weight of 20.4 grams. Assume that the distribution of the weights of these mints is normal with mean 21.37 and variance 0.16.

a) Find the probability that the weight of a single mint selected at random from the production line is less than 20.857 grams.

Standard Deviation = √variance

= √0.16 = 0.4

Standard deviation = 0.4

Mean = 21.37

x = 20.857

z = (x-μ)/σ

z = 20.857 - 21.37/0.4

z = -1.2825

P-value from Z-Table:

P(x<20.857) = 0.099834

b) During a shift, a sample of 100 mints is selected at random and weighed. Approximate the probability that in the selected sample there are at most 5 mints that weigh less than 20.857 grams.

z score formula used = (x-μ)/σ/√n

x = 20.857

Standard deviation = 0.4

Mean = 21.37

n = 100

z = 20.857 - 21.37/0.4/√100

= 20.857 - 21.37/ 0.4/10

= 20.857 - 21.37/ 0.04

= -12.825

P-value from Z-Table:

P(x<20.857) = 0

c) Find the approximate probability that the sample mean of the 100 mints selected is greater than 21.31 and less than 21.39.

5 0
2 years ago
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