Which solution set is graphed on the number line?
-4 -3 -2
-1
0
1
2
3
4
"x21
C
X> 1
x < 1
X31

Answer:

x is 44 because

3x+4+x=180

4x=180-4

4x=176

x=44

Answer:

513

Step-by-step explanation:

549- 36 = 513

Answer: (-5, -3)

Step-by-step explanation:

(-10, -6)

-10/2 = -5

-6/2 = -3

Answer:

Step-by-step explanation:

Pythagorean theorem: b² + 6² = 14²

b² = 14² - 36² = 160

b = 4√10

sin(A) = 6/14 = 3/7

∠A = arcsin(3/7) ≈ 25.4°

∠B ≈ 90° - 25.4° = 64.6°

Answer:

m= 0

Step-by-step explanation:

6=m+6

6−6=m+6−6

m=0

brainliest would be appreciated. have a great day :)

Answer:

the lowest point of the dry lake bed in the example has an elevation of -18 3/4 ft what number represents the change in elevation from the start of the path to the lowest point in the dry lake bed show your work (my teacher said she messed it up so it’s the same question just the numbers are -18 3/4 - (-12 1/2) explain how !

126

Step-by-step explanation:

the ratio is 2months- 42 homes

6-126 = (2-42)x3

Answer:

the answer is a or b

Step-by-step explanation:

Answer:

a) 0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.

b) 0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.

Step-by-step explanation:

For each component, there are only two possible outcomes. Either they fail in less than 1000 hours, or they do not. The probability of a component failing in less than 1000 hours is independent of any other component. 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.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

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

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours.

Four components means that [tex]n = 4[/tex]

Probability of 0.2 of failling means that 1 - 0.2 = 0.8 probability of not failling, so [tex]p = 0.8[/tex]

a) Find the probability that exactly two of the four components last longer than 1000 hours.

This is [tex]P(X = 2)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]

0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.

b) Find the probability that the subsystem operates longer than 1000 hours.

It will operate if at least two compoents last longer than 1000 hours. So

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]

[tex]P(X = 3) = C_{4,3}.(0.8)^{3}.(0.2)^{1} = 0.4096[/tex]

[tex]P(X = 4) = C_{4,4}.(0.8)^{4}.(0.2)^{0} = 0.4096[/tex]

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.1536 + 0.4096 + 0.4096 = 0.9728[/tex]

0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.

Answer:

Step-by-step explanation:

4(2h+g)

8h + 4g

[tex]4(2h + g)[/tex], distribute by multiplying 4 × 2h = 8h and 4 × g = 4g

[tex]8h + 4g[/tex], final answer

hope this helps you understand :)

Answer:

1001

Step-by-step explanation:

$2200/month&£-£+£+£

Answer:

B. 1.5 cups

Step-by-step explanation:

6/8 = 0.75

each person gets 0.75 each

Since 2 people chose not to drink the juice. the left overs would be 0.75*2

0.75*2=1.5

Answer:

Your total will be $64.19

Step-by-step explanation:

I know this because 7% is $4.20 and so if i add $59.99 to $4.40 i will get $64.19:)

Answer: 90

Step-by-step explanation:

2*43+4

86+4

90

Answer:

94

Step-by-step explanation:

43 +4 = 47

47 x2 = 94

part A is 48.98 meters squared. part B is $288.982.

Step-by-step explanation:

To find the area of the flooring you multiply 7.9 and 6.2 which gives you 48.98 meters squared. Then for part B you take your product from part A and multiply it by $5.90, giving you $288.982.

I hope this helps

Answer:

It is 8 years

Step-by-step explanation:

Answer:

Answer:

It is 8 years  

Step-by-step explanation:

Step-by-step explanation:

Answer:

Step-by-step explanation:

C

Answer: A

Step-by-step explanation:

There u go

0.5

Step-by-step explanation:

1/6 times 3 equals 0.5 or 3/6 or 1/2

Answer: y=-2

Step-by-step explanation:

8y=-16

divide by 8 on each side

y=-2

Answer:

x = 32 is incorrect

Step-by-step explanation:

[tex]32 = \frac{1}{2} (x + 16) \\ \\ 32 \times 2 = x + 16 \\ \\ 64 = x + 16 \\ \\ x = 64 - 16 \\ \\ x = 48 \\ \\ y =360-(48+114 + 16) \\ \\ y =360-178 \\ \\y = 182 \\ \\ 4 \times n = 6 \times 3 \\ \\ n = \frac{18}{4} \\ \\ n = 4.5[/tex]

Answer: Compounded quarterly, 350, 420, 25, the account pays interest on both the principal and the interest accumulated.

Step-by-step explanation:

Question 1: Compounded quarterly is growing fastest because it's broken down more than what simple interest does and therefore is faster instead.

Question 2: Account A in 30 years would be 350, I did this problem and eyeballed it. Trust me.

Question 3: Account B in 30 years would be 420.

Question 4: The approximate difference between the two accounts in 20 years would be 25.

Question 5: If the rate of interest is annual and the interest is compounded quarterly then the number of years is 4 times and the rate of annual interest is one-fourth. Therefore, the account pays interest on both the principal and the interest accumulated.

Hope this helps

The simple interest and compound interest are solved for both the curves

a) The compound interest is growing fastest

b) the amount in Account A in 30 years A = $ 350

c) The amount in Account B in 30 years is B = $ 420

d) The difference between the two accounts in 20 years = $ 25

Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.

The formula for calculating Compound Interest is

A = P ( 1 + r/n )ⁿᵇ

where A = Final Amount

P = Principal

r = rate of interest

n = number of times interest is applied

b = number of time periods elapsed

Given data ,

a)

Let the 2 curves be represented as A and B

Now , the amount invested by A = $ 200

The rate of simple interest = 2.5 %

And , the amount invested by B = $ 200

The rate of compound interest = 2.5 %

So , we can say that since it is more thoroughly broken down than basic interest is, compounded quarterly growth is the quickest.

b)

The amount for A in 30 years is given in the graph

A = $ 350

c)

The amount for B in 30 years is given in the graph

B = $ 420

d)

The amount for A in 20 years is given in the graph = $ 300

The amount for B in 20 years is given in the graph = $ 325

The difference between the two accounts in 20 years = $ 325 - $ 300

The difference between the two accounts in 20 years = $ 25

Hence , the compound interest is solved

To learn more about compound interest click :

https://brainly.com/question/21270833

#SPJ3

Answer:

2500

Step-by-step explanation:

50020%50020%

Convert 20%20% to a decimal.

5000.25000.2

Divide 500500 by 0.20.2.

2500

Answer:

Step-by-step explanation:

Circumference is 2pir

So 14pi meters

Answer:

9/8 teaspoon

Step-by-step explanation:

The original ratio is 0.75:0.66 (x:y). We need to find x when y = 1.

0.66*1.5 = 1

So, if the original y was multiplied by 1.5 to get 1 (which we need) then we can multiply the original x to get our answer.

0.75*1.5 = 1.125

Convert into fractional form:

1.125 = 9/8

Your answer is 9/8 teaspoon of cinnamon per one can of muffins.

Hope this helps. Have a nice day. Oh, and one more thing. Surprised I'm not stealing points?

Answer:

2.4

Step-by-step explanation:

Answer:

Option A.

Step-by-step explanation:

The representative will conduct a hypothesis test to test whether the mean number of magazines of type A the operators sell, μAμA, is greater than the mean number of magazines of type B the operators sell, μBμB. What are the correct null and alternative hypotheses for the test?

To verify this, the distribution used is [tex]\mu_{A} - \mu_{B}[/tex]

The null hypothesis is an equality, which means that it is:

[tex]H_{0} = \mu_{A} - \mu_{B} = 0[/tex]

At the alternate hypothesis, we want to test if the mean number of type A is greater than type B, that is, the distribution is positive. So

[tex]H_{A} = \mu_{A} - \mu_{B} > 0[/tex]

So the correct answer is given by option A.

Answer:

[tex]\dfrac{1}{27}[/tex]

Step-by-step explanation:

Given that,

a-b = 3

We need to find the value of [tex]\dfrac{27^{\dfrac{1}{3}b}}{9^{\dfrac{1}{2}a}}[/tex].

We know that,

[tex]27=3^3\\\\9=3^2[/tex]

So,

[tex]\dfrac{27^{\dfrac{1}{3}b}}{9^{\dfrac{1}{2}a}}=\dfrac{3^3^({\dfrac{1}{3}b})}{3^2^{\dfrac{1}{2}a}}\\\\=\dfrac{3^b}{3^a}[/tex]

We know that : [tex]\dfrac{x^p}{x^q}=x^{p-q}[/tex]

So,

[tex]\dfrac{3^b}{3^a}=3^{b-a}[/tex]

Since, b-a = -3. So,

[tex]3^{b-a}=3^{-3}\\\\=\dfrac{1}{3^3}\\\\=\dfrac{1}{27}[/tex]

So, the value of the given expression is equal to [tex]\dfrac{1}{27}[/tex].

Answer:

$6.32

Step-by-step explanation:

m + L = total $

6.35 + 7L = 50.59

7L = 44.24

L = 6.32