1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Damm [24]
2 years ago
14

Need some help with math

Mathematics
1 answer:
Vedmedyk [2.9K]2 years ago
6 0

Answer:

Question 6 answer is 35

Step-by-step explanation:

using pythagoras theorem, hypotenuse²= opposite²+ adjacent²

since it is said that we're looking for the hypotenuse then the values given are for opposite and adjacent.

therefore, hyp²= 21²+28²

hyp²= 1225 take square root of both sides to eliminate square and find hypotenuse

hyp= 35

You might be interested in
Naval intelligence reports that 4 enemy vessels in a fleet of 17 are carrying nuclear weapons. If 9 vessels are randomly targete
icang [17]

Answer:

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

Step-by-step explanation:

The vessels are destroyed without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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)!}

In this question:

Fleet of 17 means that N = 17

4 are carrying nucleas weapons, which means that k = 4

9 are destroyed, which means that n = 9

What is the probability that more than 1 vessel transporting nuclear weapons was destroyed?

This is:

P(X > 1) = 1 - P(X \leq 1)

In which

P(X \leq 1) = P(X = 0) + P(X = 1)

So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,17,9,4) = \frac{C_{4,0}*C_{13,9}}{C_{17,9}} = 0.0294

P(X = 1) = h(1,17,9,4) = \frac{C_{4,1}*C_{13,8}}{C_{17,9}} = 0.2118

Then

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0294 + 0.2118 = 0.2412

P(X > 1) = 1 - P(X \leq 1) = 1 - 0.2412 = 0.7588

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

8 0
3 years ago
Please help! Will give Brainliest!<br><br> Identify the axis of symmetry of y = ( x - 7 ) ( x + 1 )
inysia [295]
The axis of symmetry would be X=3
3 0
3 years ago
Read 2 more answers
Can someone please help me with # 2 #13 thanks show work how it's done, please
zavuch27 [327]

Problem 13

10p+10q factors to 10(p+q). If we apply the distributive property, we can distribute the 10 to each term inside (p and q) to get

10(p+q) = (10 times p)+(10 times q) = 10*p + 10*q = 10p+10q

so we get the original expression again. Here 10 is the GCF of the two terms.

--------------------------------------------------------------

Plug p = 1 and q = 2 into the factored form

10*(p+q) = 10*(1+2) = 10*(3) = 30

As a check, let's plug those p,q values into the original expression

10*p+10*q = 10*1+10*2 = 10+20 = 30

We get the same output of 30

6 0
3 years ago
A sphere with a radius of 5 cm fits inside a box. Every face of the box is tangent to the sphere. What is the ratio of the volum
BARSIC [14]
Volume of box with side length of 5 = 5^3 = 125

Volume of sphere = (4/3)*pi*5^3 = (4/3)pi * 125

Ratio = 125/(4pi/3)*125  = 1/(4pi/3) = 3/(4pi)

Answer: B
8 0
3 years ago
Read 2 more answers
A true/false test has 40 questions. Suppose a passing grade is 30 or more correct answers. Test the claim that a student knows m
Angelina_Jolie [31]

Answer:

z≈3.16

p≈0.001

we reject the null hypothesis and conclude that the student knows more than half of the answers and is not just guessing in 0.05 significance level.

Step-by-step explanation:

As a result of step 2, we can assume normal distribution for the null hypothesis

<em>step 3:</em>

z statistic is computed as follows:

z=\frac{X-M}{\frac{\sqrt{p*(1-p)} }{\sqrt{N} } } where

  • X is the proportion of correct answers in the test (\frac{30}{40})
  • M is the expected proportion of correct answers according to the null hypothesis (0.5)
  • p is the probability of correct answer (0.5)
  • N is the total number of questions in the test (40)

z=\frac{0.75-0.50}{\frac{\sqrt{0.5*(0.5)} }{\sqrt{40} } } ≈ 3.16

And corresponding p value for the z-statistic is p≈0.001.

Since p<0.05, we reject the null hypothesis and conclude that the student knows more than half of the answers and is not just guessing in 0.05 significance level.

7 0
3 years ago
Other questions:
  • The formula for the area A of a rectangle with length l and width w is A = l ⋅ w . Find A if: l = 23 feet and w = 15 feet The ar
    13·1 answer
  • ÐABC = 28°, and ÐBCA is larger than ÐABC. Triangle ABC is an isosceles triangle. What is the measure of the other two angles?
    9·1 answer
  • I 3) At 10:30 am, a submarine was 43 feet below the ocean surface. By 10:45 am, it was 271 feet below the surface. How much did
    9·1 answer
  • Jessie painted a rectangular wall that measured 7 yards by 3 yards.
    14·2 answers
  • A cylinder is composed of one circular base and a lateral surface true or false
    6·2 answers
  • 2 cups, 2 plates, and a pot cost $10.20 at a yard sale. A cup costs twice as much as a plate. The pot costs $3 more than a cup.
    7·2 answers
  • Solve by completing the square. Round<br> x^2-4x=5
    8·1 answer
  • X+1/X=26/5<br>plz help me fast plz i will be thankful to you.❤❤​
    5·1 answer
  • : Cho tam giác ABC vuông tại C, trong đó AC = 0,9m, BC = 1,2m. Tính các tỉ số lượng giác của góc B, từ đó suy ra các tỉ số lượng
    12·1 answer
  • Help me with this pls AND PLS DONT DELETE THIS BECAUSE SOMEONE KEEPS DELETE MY QUESTIONS FOR NO REASONS PLZz help thanks :)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!