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enyata [817]
3 years ago
11

Please help fast. will mark brainliest

Mathematics
1 answer:
Harman [31]3 years ago
6 0
X=-3 It’s pretty simple, look at the line starting from (4,0) and look at the other side of the line in the second quadrant; (-3,7).
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Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 139 millimeters,
FinnZ [79.3K]

Answer:

0.4010 = 40.10% probability that the sample mean would differ from the population mean by more than 0.8 millimeters

Step-by-step explanation:

To solve this question, we need to understan the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are 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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 139, \sigma = 6, n = 40, s = \frac{6}{\sqrt{40}} = 0.9487

Either the sample mean differs by 0.8 mm or less from the population mean, or it differs by more. The sum of these probabilities is decimal 1.

Probability it differs by less than 0.8mm

pvalue of Z when X = 139 + 0.8 = 139.8mm subtracted by the pvalue of Z when X = 139 - 0.8 = 138.2 mm

X = 139.8

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

By the Central Limit Theorem

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

Z = \frac{139.8 - 139}{0.9487}

Z = 0.84

Z = 0.84 has a pvalue of 0.7995

X = 138.2

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

Z = \frac{138.2 - 139}{0.9487}

Z = -0.84

Z = -0.84 has a pvalue of 0.2005

0.7995 - 0.2005 = 0.5990

What is the probability that the sample mean would differ from the population mean by more than 0.8 millimeters?

p + 0.5990 = 0.4010

0.4010 = 40.10% probability that the sample mean would differ from the population mean by more than 0.8 millimeters

7 0
3 years ago
How many grams of barium chloride are there in 0.200 moles
Anni [7]
There are 41.646600000013 grams of barium chloride in 0.200 moles
5 0
3 years ago
Determine the solution for x2 + 36 > 12x O {x | x = 6) O {x|-6 x < 6} O {x x = R } O {x|x E R and x = 6​
Slav-nsk [51]

Answer: Answer is (D)

Step-by-step explanation:

I got the answer correct on Edg.

3 0
3 years ago
Factor the trinomial:<br> 2x^2+15x+25<br> PLEASE HELP MEH
Savatey [412]

Answer:

(2x + 5) ( x + 5)

Step-by-step explanation:

2x² + 15 + 25

2x² + 10x + 5x + 25

2x( x + 5) + 5( x + 5)

(2x + 5) (x + 5)

3 0
3 years ago
Read 2 more answers
1) El largo de un rectángulo mide el triple que su ancho. Si el ancho mide 12 cm, el perímetro del rectángulo es: Selecciona la
Wittaler [7]

Answer:

1) c) 96 cm

2) c) 17,15 m

3) c) 294 m

4) d) 332 metros

Step-by-step explanation:

1)

La fórmula para el perímetro de un rectángulo = 2L + 2W

= 2 (largo + ancho)

L = longitud

W = ancho

Se nos dice en la pregunta que:

La longitud de un rectángulo es tres veces su ancho. Si el ancho es de 12 cm

Por lo tanto,

L = 3 W

L = 3 × 12

Largo = 36cm

Por lo tanto, el perímetro =

2 (largo + ancho) cm

= 2 (36 + 12) cm

= 2 (48) cm

= 96 cm

2)

La fórmula para el perímetro de un heptágono regular = 7a

Donde a = longitud de un lado

De la pregunta,

a = 2,45 m laterales

Por lo tanto, el perímetro de un Heptágono regular = 7 (2,45 m)

= 17,15 m

3)

La fórmula para el perímetro de un rectángulo = 2L + 2W

= 2 (largo + ancho)

L = longitud

W = ancho

Se nos dice en la pregunta que:

Si un campo de fútbol tiene 98 m de largo y su ancho es igual a la mitad de esta medida,

Por lo tanto,

L = 98 m

W = 1/2 de longitud

Ancho = 1/2 (98)

= 49

Por lo tanto, el perímetro =

2 (largo + ancho) m

= 2 (98 + 49) m

= 2 (147) m

= 294 m

4)

El parque es de forma rectangular.

Longitud = 45 m

Ancho = 38.000 mm

Convertir mm en m

1 milímetro = 0,001 metro

38.000 milímetro =

38.000 × 0,001 metros

= 38 metros (38 m)

La distancia alrededor del parque = perímetro del parque

Perímetro = 2 (L + W)

= 2 (45 + 38)

= 2 (83)

= 166 m

Distancia alrededor del parque una vez = 166 m

Pero nos dijeron que dio la vuelta al parque 2 veces, por lo tanto, la distancia que recorrió = 166 m × 2

= 332m

4 0
3 years ago
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