Aflat screen tv is measured by its diagonal length. you have enough space to fit a tv that is 25 inches wide and 20inches tall. the diagonal of the tv measures 32 inches and it is 19.2 inches tall. how wide is the tv? can you fit a 32”tv in your space? explain

The tv is too big

Step-by-step explanation:

Using the Pythagorean theorem

a^2 +b^2 =c^2

where a and b are the legs of the triangle and c is the hypotenuse

We know the diagonal or hypotenuse is 32 and one of the legs is 19.2  so we can find the other leg

a^2 + 19.2 ^2 = 32 ^2

a^2 + 368.64 =1024

Subtract 368.64 from each side

a^2 + 368.64-368.64 - 368.64 =1024-368.64

a^2 =655.36

Take the square root of each side

sqrt(a^2) = sqrt(655.36)

a =25.6

The dimensions of the space are 20 by 25

Our TV is 19.2 by 25.6   The TV is too long by (25.6-25=.6)  by .6 inches

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;