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vlabodo [156]
3 years ago
10

A good-quality measuring tape can be off by 0.49 cm over a distance of 23 m. What is the percent uncertainty?33% Part (a) If 44

± 3 beats are counted (in exactly 30 s) what is the percent uncertainty in the measurement of their heartbeats per minute?
Mathematics
1 answer:
V125BC [204]3 years ago
8 0

Step-by-step explanation:

First:

(Error/Total )x 100%

(0.49/23) x100%= 2.13%

Second:

(Absolute uncertainty/mean) x100%

(3/44)x100%= 6.81%

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What is the value of a?
Annette [7]

Answer:

<h2>a = 16</h2>

Step-by-step explanation:

Look at the picture.

The formula of an area of a trapezoid is:

A=\dfrac{b_1+b_2}{2}\cdot h

b_1,\ b_2 - bases

h - height

We have:

A=128,\ b_1=a+2,\ b_2=a-2,\ h=8

Substitute:

128=\dfrac{a+2+a-2}{2}\cdot8\\\\128=\dfrac{2a}{2}\cdot8

128=8a          <em>divide both sides by 8</em>

16=a\to a=16

8 0
3 years ago
Determine whether each event is possible or impossible on a 6-sided cube where the numbers are 1 through 6.
tankabanditka [31]

Answer:

Step-by-step explanation:

Possible:

Rolling a 1

Rolling a number less than 7

Rolling an even number

Impossible:

Rolling a number greater than 10

Rolling an 8

4 0
2 years ago
A two way table shows information about pupils in a primary school
arlik [135]

Answer:

42 boys can count (given)

P(boy & can count) = 0.35

Step-by-step explanation:

P(boy who can count) = 42/120

7/20 = 0.35

7 0
3 years ago
in 2018 GRE scores were normally distributed with a mean of 303, and standard deviation of 13. Standford University Graduate sch
eduard

Answer:

The minimum score needed to be considered for admission to Stanfords graduate school is 328.48.

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 = 303, \sigma = 13

What is the minimum score needed to be considered for admission to Stanfords graduate school?

Top 2.5%.

So X when Z has a pvalue of 1-0.025 = 0.975. So X when Z = 1.96

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

1.96 = \frac{X - 303}{13}

X - 303 = 13*1.96

X = 328.48

The minimum score needed to be considered for admission to Stanfords graduate school is 328.48.

3 0
3 years ago
Mac has 1/4 hour left of track practice and must be completed 8 laps around the track before he leaves which equation can be use
telo118 [61]

Answer:

(a) Unit = \frac{1}{4}/8

Step-by-step explanation:

Given

Time = \frac{1}{4}

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Required

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The unit time in each lap is calculated by dividing the total time by the number of laps; i.e.;

Unit = \frac{Time}{Lap}

Substitute values for Time and Lap

Unit = \frac{1}{4}/8

5 0
2 years ago
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