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2 years ago

At the start of a journey a milometer in a car shows 43562 and at the end of the journey the distance

Mathematics

1 answer:

Natali5045456 [20]2 years ago

7 0

The upper bound is 267.9 and the lower bound is 226.1.

<h3>What is the upper and lower bound?</h3>

At the beginning of the journey, the possible values of the milometer before been rounded to the nearest mile are: 43,561.5, 43,561.6, 43,561.7, 43,561.8, 43,561.9, 43,562,43,562.1, 43,562.2, 43,562.3, 43,562.4

At the end of the journey, the possible values of the milometer before been rounded to the nearest mile are: 43,828.5, 43,828.6, 43,828.7, 43,828.8, 43,828.9, 43829, 43829.1, 43829.2, 43829.3, 43829.4.

Upper bound = 43,829.4- 43,561.5 = 267.9

Lower bound = 43,828.5 - 43,562.4 = 226.1

To learn more about subtraction, please check: brainly.com/question/854115

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the area of a reactangle mirror is 11 11/16 square feet the width of the mirror is 2 2/4 feet. if there is a 5 foot tall space o

77julia77 [94]

So square feet is area which is legnth times width or area=lw or a=lw

width=w=2 2/4
2/4=1/2
w=2 1/2=5/2

a=lw
11 11/16=187/16
187/16=l(5/2)

multiply both sides by 2/5 to clear the fraction (1/2 times 2/1=2/2=1)

374/80=legnth
simplify
374/80=187/40=4 27/40=legnth

legnh must be less than 5 and 4 and 27/40 is less than 5 so it will fit

8 0

4 years ago

Combine like terms.

wolverine [178]

The answer is b

16-9=7
7+8=15r

8 0

3 years ago

Which graph shows the solution to this system of inequalities? y<-1/3x+1 y<_2x-3

kari74 [83]

The graph that shows the solution to the system of inequalities is: C (see the image attached below).

<h3>How to Determine the Graph of the Solution to a System of Inequalities?</h3>

Given the following systems of inequalities:

y < -1/3x + 1

y ≤ 2x - 3

Below are the features of the graph that represents a solution to the system of inequalities:

The boundary line of y < -1/3x + 1 would be a dashed line and the shaded area would be below it, because of the inequality sign, "<".
The boundary lines of y ≤ 2x - 3 would be a solid line and the shaded area would be below it, because of the inequality sign, "≤".
The slope of the shaded line that represents y < -1/3x + 1, would be -1/3, and the line would be a decreasing line which intersects the y-axis at 1.
The slope of the line that represents y ≤ 2x - 3, would be 2, and the line would also be an increasing line that intersects the y-axis at -3.

Therefore, the graph that shows the solution to the system of inequalities is: C (see the image attached below).

Learn more about the graph of the system of inequalities on:

brainly.com/question/10694672

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8 0

1 year ago

Let z denote a random variable that has a standard normal distribution. Determine each of the probabilities below. (Round all an

Gelneren [198K]

Answer:

(a) P (Z < 2.36) = 0.9909 (b) P (Z > 2.36) = 0.0091

(e) P (-0.77< Z > -0.55) = 0.0705 (f) P (Z > 3) = 0.0014

(g) P (Z > -3.28) = 0.9995 (h) P (Z < 4.98) = 0.9999.

Step-by-step explanation:

Let us consider a random variable, $X \sim N (\mu, \sigma^{2})$ , then $Z=\frac{X-\mu}{\sigma}$ , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, $Z \sim N (0, 1)$ .

In statistics, a standardized score is the number of standard deviations an observation or data point is above the mean. The z-scores are standardized scores.

The distribution of these z-scores is known as the standard normal distribution.

(a)

Compute the value of P (Z < 2.36) as follows:

P (Z < 2.36) = 0.99086

≈ 0.9909

Thus, the value of P (Z < 2.36) is 0.9909.

(b)

Compute the value of P (Z > 2.36) as follows:

P (Z > 2.36) = 1 - P (Z < 2.36)

= 1 - 0.99086

= 0.00914

≈ 0.0091

Thus, the value of P (Z > 2.36) is 0.0091.

(c)

Compute the value of P (Z < -1.22) as follows:

P (Z < -1.22) = 0.11123

≈ 0.1112

Thus, the value of P (Z < -1.22) is 0.1112.

(d)

Compute the value of P (1.13 < Z > 3.35) as follows:

P (1.13 < Z > 3.35) = P (Z < 3.35) - P (Z < 1.13)

= 0.99960 - 0.87076

= 0.12884

≈ 0.1288

Thus, the value of P (1.13 < Z > 3.35) is 0.1288.

(e)

Compute the value of P (-0.77< Z > -0.55) as follows:

P (-0.77< Z > -0.55) = P (Z < -0.55) - P (Z < -0.77)

= 0.29116 - 0.22065

= 0.07051

≈ 0.0705

Thus, the value of P (-0.77< Z > -0.55) is 0.0705.

(f)

Compute the value of P (Z > 3) as follows:

P (Z > 3) = 1 - P (Z < 3)

= 1 - 0.99865

= 0.00135

≈ 0.0014

Thus, the value of P (Z > 3) is 0.0014.

(g)

Compute the value of P (Z > -3.28) as follows:

P (Z > -3.28) = P (Z < 3.28)

= 0.99948

≈ 0.9995

Thus, the value of P (Z > -3.28) is 0.9995.

(h)

Compute the value of P (Z < 4.98) as follows:

P (Z < 4.98) = 0.99999

≈ 0.9999

Thus, the value of P (Z < 4.98) is 0.9999.

**Use the z-table for the probabilities.

3 0

3 years ago

PLEASSSEEEE HELLLLP MEEEE!

Vanyuwa [196]

Answer:

1) C = 3

2) B = 5

3) C = 8

Step-by-step explanation:

Question 1)

We have:

$(2x+3)(4x-1)$

Distribute:

$=(2x+3)(4x)+(2x+3)(-1)$

Distribute:

$=8x^2+12x-2x-3$

Combine like terms:

$=8x^2+10x-(3)$

Therefore, C = 3.

Question 2)

We have:

$(x+2) (2x^2+x-1)$

Distribute:

$\displaystyle =(x+2)(2x^2)+(x+2)(x)+(x+2)( - 1)$

Distribute:

$=(2x^3+4x^2)+(x^2+2x)+(-x -2)$

Combine like terms:

$=2x^3+(5)x^2+x-2$

Therefore, B = 5.

Question 3)

We have:

$(x+2)(x^2-3x-2)$

Distribute:

$=(x+2)(x^2)+(x+2)(-3x)+(x+2)(-2)$

Distribute:

$=(x^3+2x^2)+(-3x^2-6x)+(-2x-4)$

Combine like terms:

$=x^3-x^2-(8)x-4$

So, C = 8.

6 0

3 years ago