Apublisher reports that 42% of their readers own a laptop. a marketing executive wants to test the claim that the percentage is actually different from the reported percentage. a random sample of 170 found that 35% of the readers owned a laptop. find the value of the test statistic. round your answer to two decimal places.

The value of the test statistic to 2 decimal place is 1.91

Step-by-step explanation:

P cap= 0.42

n= 170

P= 0.35

q= 1-p

q= 1-0.35=0.65

Z=( pcap - p)/√(p*q)/n

Z= (0.42 - 0.35)/ √ (0.35*0.65)/170

Z= 0.07/√1.3383 * 10 ^ -3

Z= 1.91

Therefore the test statistic is z=1.91

See attached picture

0.5 meters per second

step-by-step explanation:

the average speed between 2 seconds and 8 seconds is 0.5 meters per second.

hope this ! mark brainliest!

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°