Find the value of x round to the nearest tenth the diagram is not to scale.

6.6 cm

Step-by-step explanation:

The tangent function relates the 35° angle, the adjacent side 12 cm, and the unknown opposite side, x.

We can write tan 35° = opp / adj = x / (12 cm)

Multiplying both sides by 12 cm isolates (solves for) x:

(12 cm)(tan 35°) = x         Note that 35° is equivalent to 0.6109 radians.

Thus, x = (12 cm)(0.5484) = 6.58 cm, or 6.6 to the nearest tenth.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;