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Law Incorporation [45]
2 years ago
11

86% of senators support a bill. What fraction of senators support the bills?

Mathematics
1 answer:
Sveta_85 [38]2 years ago
6 0

Answer:

86/100 = 43/50

Step-by-step explanation:

86/100 is the answer but 43/50 is the simplified answer

plz mark brainiest

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Which one should I be picking?
Rus_ich [418]

Answer:

x = 9

Step-by-step explanation:

Given a segment joining the midpoints of 2 sides of a triangle, then

the segment is half the length of the 3rd side , that is

3x = 0.5 × 54 = 27 ( divide both sides by 3 )

x = 9

5 0
2 years ago
A snake slithers 2/9 mile in 4/5 hour.
9966 [12]

Answer:

B: 5/18 miles per hour

Step-by-step explanation:

1. multiply the fractions by the reciprocal

2/9 × 4/5 = 10/36

2. Divide answer by common multiple which is 2

10/36 ÷ 2 = 5/18

5/18 miles per hour is the snakes speed

6 0
3 years ago
Read 2 more answers
The average reading speed of students completing a speed-reading course is 435 words per minute (wpm). If the standard deviation
nekit [7.7K]

Answer:

a)

Z = -1.58

Z = -1.58 means that a reading speed of 340 wpm is 1.58 standard deviations below the mean reading speed.

b)

Z = 0.67

Z = 0.67 means that a reading speed of 475 wpm is 0.67 standard deviations above the mean reading speed.

c)

Z = -0.25

Z = -0.25 means that a reading speed of 420 wpm is 0.25 standard deviations below the mean reading speed.

d)

Z = 2.92

Z = 2.92 means that a reading speed of 610 wpm is 2.92 standard deviations above the mean reading speed.

Step-by-step explanation:

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 a measure X is above or below the mean.

In this problem, we have that:

\mu = 435, \sigma = 60

a. 340 wpm

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

Z = \frac{340 - 435}{60}

Z = -1.58

Z = -1.58 means that a reading speed of 340 wpm is 1.58 standard deviations below the mean reading speed.

b. 475 wpm

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

Z = \frac{475 - 435}{60}

Z = 0.67

Z = 0.67 means that a reading speed of 475 wpm is 0.67 standard deviations above the mean reading speed.

c. 420wpm

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

Z = \frac{420 - 435}{60}

Z = -0.25

Z = -0.25 means that a reading speed of 420 wpm is 0.25 standard deviations below the mean reading speed.

d. 610wpm

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

Z = \frac{610 - 435}{60}

Z = 2.92

Z = 2.92 means that a reading speed of 610 wpm is 2.92 standard deviations above the mean reading speed.

6 0
3 years ago
Is smoking during pregnancy associated with premature births? To investigate this question, researchers selected a random sample
horrorfan [7]

Answer:

Confidence interval is 128±2.326 days (between 125.674 days and 130.326 days) in 90% confidence level

Step-by-step explanation:

Confidence interval can be calculated as M±ME where

  • M is the average pregnancy days of smoking women and
  • ME is the margin of error in 90% confidence level.

Margin of Error in 90% confidence level can be calculated using the formula:

ME=\frac{z*s}{\sqrt{N} } where

  • z is the z-value in 90% confidence level (1.645)
  • s is the standard deviation of pregnancy length (16)
  • N is the sample size (128)

putting these  numbers in the formula, we get:

ME=\frac{1.645*16}{\sqrt{128} } =2.326

then confidence interval is 128±2.326 ( between 125.674 and 130.326 ) in 90% confidence level

5 0
3 years ago
Consider the function f(x)=x^2+bx-49 where b is a constant. if the function has an axis of symmetry at x = 8, what is the value
Jlenok [28]
For this case we have the following equation:
 f (x) = x ^ 2 + bx-49
 Deriving we have:
 f '(x) = 2x + b
 We match zero:
 0 = 2x + b
 We clear x:
 x = -b / 2
 The axis of symmetry is at x = 8, therefore:
 x = -b / 2 = 8
 Clearing b:
 b = -2 * (8)
 b = -16
 Answer:
 
the value of b is:
 
b = -16
3 0
3 years ago
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