7) Shannon is selling some embroidered jackets on a Web site. She wants 10 points

The length of a rectangle is 3 times the length of a

laila [671]

$larger\ rectangles:3l\ \times\ w\\\\smaller\ rectangles:l\ \times\ w\\\\A_{larger}=kA=3lw\\\\A_{smaller}=A=lw\\\\\frac{A_{larger}}{A_{smaller}}=\frac{kA}{A}=k\\\\k=\frac{3lw}{lw}=3\\\\Answer:J.$

4 0

3 years ago

What is the distance around a triangle that has sides measuring 2 1/8 feet, 3 1/2 feet, and 2 1/2 feet?

Alex787 [66]

Hi!
A is the answer:⏬⏬⏬⏬⏬⏬⏬⏬

The distance around a triangle, better noun as de "perimeter of a triangle"

is the total distance around the outside, which can be found by adding together the length of each side.

Perimeter (P) = Length A + Length B + Lenght C

In this case, we know that each side measure 2 \frac{1}{8}81 feet, 3 \frac{1}{2}21 feet, and 2 \frac{1}{2}21feet but we have to rewrite each one of this mixed fractions as improper fractions:

2 \frac{1}{8}81 = \frac{16 + 1}{8}816+1 = \frac{17}{8}817

3 \frac{1}{2}21 = \frac{6 + 1}{2}26+1 = \frac{7}{2}27

2 \frac{1}{2}21 = \frac{4 + 1}{2}24+1 = \frac{5}{2}25

Then we just add all of them to find the perimeter:

= \frac{17 + 28 + 20}{8}817+28+20 = \frac{65}{8}865

A: The distance around a triangle is \frac{65}{8}865feet

3 0

3 years ago

Read 2 more answers

According to the National Institute of Allergy and Infectious Diseases, approximately 7% of U.S. children 4 years of age or youn

Yuliya22 [10]

Answer:

0.337 = 33.7% probability that one of the eight children has a food allergy.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they have a food allergy, or they do not. The probability of a child having food allergy is independent of any other child. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

7% of U.S. children 4 years of age or younger have a food allergy.

This means that $p = 0.07$

A day care program has capacity for 8 children in that age range.

This means that $n = 8$

What is the probability that one of the eight children has a food allergy?

This is P(X = 1).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{8,1}.(0.07)^{1}.(0.93)^{7} = 0.337$

0.337 = 33.7% probability that one of the eight children has a food allergy.

6 0

3 years ago

Suppose for a cookout you need to make 100 hamburgers. YOu know that 2 pounds will make 9 hamburgers. HOw many pounds will you n

Citrus2011 [14]

$\bf \begin{array}{ccll}
lbs&burgers\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
2&9\\
x&100
\end{array}\implies \cfrac{2}{x}=\cfrac{9}{100}\implies \cfrac{2\cdot 100}{9}=x$

8 0

3 years ago

How do you know how many places are in fifty million without writing the number in standard form

wolverine [178]

We know that 1 million has 6 zeros. This means 1 million has 7 place values: one for the 1 and 6 for the zeros.

50 has 1 more place value than one, so 50 million has 1 more place value than 1 million.

So, 50 million has 8 place values.

4 0

3 years ago