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alisha [4.7K]
3 years ago
11

Find four consecutive odd integers such that 10 more than twice the least is equal to the sum of the third and fourth.

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
6 0
Consecutive odd numbers are 2 apart

they are
x,x+2,x+4,x+6



10+2x=x+4+x+6
10+2x=2x+10
x=x
true
any consecutive odd integers will work

1,3,5,7 works
3,5,7,9 works
etc

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What is the answer to this: 5•k•(-7); k=3/5?
oksano4ka [1.4K]
This is simple:

If k=3/5, then you substitute 3/5 for k

Example:
5(3/5)(-7)=?
Answer: -175/3 or -58.33 repeating

3 0
3 years ago
Read the assignment carefully and make sure you answer each part of the question or questions.
spayn [35]

Answer:

1. 3/5=60%

2. 4 remaining in the bag

3. 2 marbles remain in the bag

4. 2/4=1/2=50%

7 0
4 years ago
The area of the base of a rectangular prism is 4 3/4 ft², and the height is 2 1/3 ft. Determine the volume of the rectangular pr
slamgirl [31]

Answer:

Step-by-step explanation:

The volume of a rectangular prism is calculated multiplying the area of the prism times the height of the prism.

The area of the base of your prism is 4 3/4 ft2, so you are going to multiply it times the height that is 2 1/3 ft.

The result must be: 11.07 ft³

7 0
3 years ago
Find value of X? Round answer to nearest tenth.
ohaa [14]

Answer: x = 4.6

Step-by-step explanation:

From the diagram opposite is 4

Adjacent is x

@ = 41 degrees.

Solve from SOH CAH TOA

From here the one that has opposite and adjacent is TOA which is;

[email protected] = opposite/ adjacent

[email protected] = 4/x

x = 4/[email protected]

x = 4/tan 41

x = 4/0.869

x = 4.6

6 0
3 years ago
A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers t
ehidna [41]

Answer:

The probability that more than a third of the buyers would prefer brown is 0.8491.

Step-by-step explanation:

This is binomial problem with n=15 and p=0.50.

The binomial formula of probaility is:

P(X=x)=\frac{n!}{x!(n-x)!} p^{x} (1-p)^{n-x}

More than a third of the buyers: 15÷3=5

We have to find P(x>5).

P(x>5) = 1 - P(x≤5) = 1 - P(x=0) - P(x=1) - P(x=2) - P(x=3) - P(x=4) - P(x=5)

P(x=0)=\frac{15!}{0!15!} (0.5)^{0} (1-0.5)^{15}=0.00003

P(x=1)=\frac{15!}{1!14!} (0.5)^{1} (1-0.5)^{14}=0.00046

P(x=2)=\frac{15!}{2!13!} (0.5)^{2} (1-0.5)^{13}=0.00320

P(x=3)=\frac{15!}{3!12!} (0.5)^{3} (1-0.5)^{12}=0.01389

P(x=4)=\frac{15!}{4!11!} (0.5)^{4} (1-0.5)^{11}=0.04165

P(x=5)=\frac{15!}{5!10!} (0.5)^{5} (1-0.5)^{10}=0.09164

P(x>5) = 1 - P(x≤5)= 1- 0.00003 - 0.00046 - 0.00320 - 0.01389 - 0.04165 - 0.09164 = 0.8491

4 0
3 years ago
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