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3 years ago

1. Olivia is trekking for 17.4 km at a bearing of N38°E.

1 answer:

6 0

4. Volume is 5 cubed = 125cm^3
Surface area is 25x6=150cm^2

5. 50-((3x4.50)+(2x3.75)+(4x4.20))

7. 2n(4m+3)

6. 6a - 15

8. 3.14

9. 247.46

10. 1349.00

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Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-inte

frosja888 [35]

As we go from (-6,6) to (9,1), x increases by 15 and y decreases by 5. Thus, the slope of this line is m = rise / run = -5/15, or m = -1/3.

Point-slope form: y-6 = (-1/3)(x+6), using data from (-6,6).

Slope-intercept form: starting with y = mx + b, substit. -6 for x, 6 for y and -1/3 for m:

6 = (-1/3)(-6) + b, or

6 = 2 + b. Then b = 4, and the equation in slope-intercept form is

y = (-1/3)x + 4.

8 0

3 years ago

For a medical study, a researcher wishes to select people in the middle 60% of the population based on blood pressure.

Finger [1]

Answer:

Lower limit: 113.28

Upper limit: 126.72

Step-by-step explanation:

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.

In this problem, we have that:

$\mu = 120, \sigma = 8$

Middle 60%

So it goes from X when Z has a pvalue of 0.5 - 0.6/2 = 0.2 to X when Z has a pvalue of 0.5 + 0.6/2 = 0.8

Lower limit

X when Z has a pvalue of 0.20. So X when $Z = -0.84$

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

$-0.84 = \frac{X - 120}{8}$

$X - 120 = -0.84*8$

$X = 113.28$

Upper limit

X when Z has a pvalue of 0.80. So X when $Z = 0.84$

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

$0.84 = \frac{X - 120}{8}$

$X - 120 = 0.84*8$

$X = 126.72$

4 0

3 years ago

Heights (in centimeters) and weights (in kilograms) of 7 supermodels are given below. Find the regression equation, letting the

Delvig [45]

The regression equation:
y = m x + b
m = ( 57 - 50 ) / ( 178 - 168 ) = 7 / 10 = 0.7
50 = 0.7 * 168 + b
50 = 117.6 + b
b = 50 - 117.6
b = - 67.6
y = 0.7 * x - 67.6
The graph is in the attachment.
The weight of supermodel who is 171 cm tall:
y = 0.7 * 171 - 67.6 = 119.7 - 67.6 = 52.1 kg

Download docx

6 0

3 years ago

What is the value of the expression below if y=5

Neko [114]

Answer:

Step-by-step explanation:

8*5=40

40+6=46

46-10=36

36-9=25

5 0