Answer:
50 .
Step-by-step explanation:
Answer:
- <u>First choice, 984 cm²</u>
Explanation:
The plastic pencil case has form of a triangular prism.
This triangular prism has five faces:
- Top and bottom faces: two congruent triangles with a 10 cm base and 12 cm height.
- Lateral faces: two congruent rectangles with a 24 cm length and 13 cm widht, and one rectangle with 24 cm length and 10 cm widht.
<u>Surface area:</u>
- <u>Top and bottom triangles</u>:
area = (1/2) base × height
area of one triangle = 10 cm × 12 cm × (1/2) = 60 cm²
area of the two triangles = 2 × 60 cm² = 120 cm²
- <u>Lateral rectangles:</u>
area of a rectangle = length × width
area of the trhee triangles = 24 cm × 10 cm + 2 × 24 cm × 13 cm = 240 cm² + 624 cm² = 864 cm².
- <u>Total area: </u>120 cm² + 864 cm² = 984 cm²
Answer: first choice, 984 cm²
I’m sorry I don’t get that whole situation
The new length of the string will be 16 1/4 feet. Then the correct option is B.
<h3>What is the length?</h3>
It is the measure of distance between the two points and is known as length. The length is measured in meters generally.
Ed needed to extend the string on his kite. The current string was seven and three-fourths feet that is (7 3/4).
The mixed fraction number is coverted into a decimal number.
7 3/4 = 7.75 feet
He cut a piece of string that measured 8.5 feet and added it to the existing string.
Then the new length of the string will be
L = 7.75 + 8.5
L = 16.25
L = 16 1/4 feet
The new length of the string will be 16 1/4 feet. Then the correct option is B.
More about the distance link is given below.
brainly.com/question/26711747
#SPJ1
Answer:
4.05% probability that a randomly selected adult has an IQ greater than 123.4.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
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 question, we have that:
Probability that a randomly selected adult has an IQ greater than 123.4.
This is 1 subtracted by the pvalue of Z when X = 123.4. So
has a pvalue of 0.9595
1 - 0.9595 = 0.0405
4.05% probability that a randomly selected adult has an IQ greater than 123.4.
