What is the difference of the volumes of the two oblique pyramids, both of which have square bases? Round the volumes to

the nearest tenth of a centimeter.

Pyramid A

Pyramid B

2cm

25 cm

26 cm

2 cm

0.7 cm

1.2 cm

1.8 cm

23 cm

1.2cm³

Step-by-step explanation:

The question is incomplete. Here is the complete question.

"What is the difference of the volumes of the two oblique pyramids, both of which have square bases? Round the volumes to the nearest tenth of a centimeter.

2 oblique pyramids with square bases are shown. Pyramid A is a base edge length of 2.6 centimeters and a height of 2 centimeters. Pyramid B has a base edge length of 2 centimeters and a height of 2.5 centimeters."

Formula for calculating the volume of a pyramid = 1/3 × base area × height.

Since the pyramids have square bases, the base area will be the area of a square.

Area of a square = L²

PYRAMID A

Height = 2cm

Base area = 2.6×2.6 (length of the square is 2.6cm)

Base area = 6.76cm²

Volume = 1/3 × 2 × 6.76

Volume = 4.5cm³

PYRAMID B

Height = 2.5cm

Base area = 2×2 (length of a side is 2cm)

Base area = 4cm²

Volume = 1/3×2.5×4

Volume = 3.3cm³

Difference between the volume of both oblique pyramid = 4.5cm³-3.3cm³

= 1.2cm³

Difference in volume to nearest tenth is 1.2cm³

x=6 and x=3

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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;