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Sphinxa [80]
3 years ago
13

Simplify expression by combining like terms. 5m+18+15m+-24-4m

Mathematics
1 answer:
Ivanshal [37]3 years ago
3 0

Answer:

16m - 6

General Formulas and Concepts:

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define Expression</u>

5m + 18 + 15m - 24 - 4m

<u>Step 2: Simplify</u>

  1. Combine like terms (m):                    16m + 18 - 24
  2. Combine like terms (Z):                     16m - 6
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The sum of the sequence of 685+678+671+664+...+6
lukranit [14]

Answer:

Sum of the sequence (Sn) = 33,859

Step-by-step explanation:

Given:

Sequence = 685+678+671+664+...+6

Find:

Sum of the sequence (Sn)

Computation:

a = 685

d = 678 - 985 = -7

an = 6

an = a+(n-1)d

6 = 685+(n-1)(-7)

-679 = (n-1)(-7)

97 = n-1

n = 98

So,

Sum of the sequence (Sn) = (n/2)[a+an]

Sum of the sequence (Sn) = (98/2)[685+6]

Sum of the sequence (Sn) = (49)(691)

Sum of the sequence (Sn) = 33,859

3 0
4 years ago
There are two options for buying crickets option A.7 pounds of crickets for 3.15 option B.3 pounds of crickets for 1.47 which op
Gwar [14]

Answer: 7

pounds for 3.15 is a better option

Step-by-step explanation:

Here in this question, we want to know which of the two options is a better option for buying crickets.

To know the better option, we shall be needing the unit price in whatever system to be used;

7 pounds of crickets for 3.15;

so the unit price here will be 3.15/7 = 0.45 per pound

For the second system, we have 3 pounds for 1.47 so the unit price will be 1.47/3 = 0.49 per pound

As we can see, the first option commands a cheaper price per unit, so it is the better option to buy

3 0
3 years ago
At a large midwestern university, a simple random sample of 100 entering freshmen in 1993 found that 20 of the sampled freshmen
nasty-shy [4]

Answer:

B. Z=1.98

Step-by-step explanation:

1) Data given and notation  

X_{1}=20 represent the number of sampled freshmen finished in the bottom third of their high school class in 1993

X_{2}=10 represent the number of sampled freshmen finished in the bottom third of their high school class in 1997

n_{1}=100 sample 1 selected

n_{2}=100 sample 2 selected

p_{1}=\frac{20}{100}=0.20 represent the proportion of sampled freshmen finished in the bottom third of their high school class in 1993

p_{2}=\frac{10}{100}=0.0023 represent the proportion ofsampled freshmen finished in the bottom third of their high school class in 1997

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the proportion graduated in the bottom third of their high school class is higher for 1993 than 1997 , the system of hypothesis would be:  

Null hypothesis:p_{1} \leq p_{2}  

Alternative hypothesis:p_{1} > p_{2}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{20+10}{100+100}=0.15

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.20-0.10}{\sqrt{0.15(1-0.15)(\frac{1}{100}+\frac{1}{100})}}=1.98  

4) Statistical decision

For this case we don't have a significance level provided \alpha, but we can calculate the p value for this test.  

Since is a one side test the p value would be:  

p_v =P(Z>1.98)=0.024  

If we compare the p value and using any significance level for example \alpha=0.05 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion graduated in the bottom third of their high school classes in 1993 is not significant higher than the proportion in 1997.  

3 0
4 years ago
Hanna is recovering hundreds of treasure chests from an ancient shipwreck she is able to recover 8 chests every 4 hours
gizmo_the_mogwai [7]

Answer:

idk what you are asking. But she is able to recover 2 chest per hour and would take however many chests divided by 2 for the time. EX: 300 chests. 300/2=150 hours.

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
I need some help finding the volume of a sphere with a diameter of 18.6cm. The website says the answer I got from my calculator
777dan777 [17]

Answer:

V = 3,367.6 cm³

Step-by-step explanation:

Diameter of sphere (D) = 18.6 cm

radius (r) = ½(18.6) = 9.3

π = 3.14

Formula for volume of a sphere = ⁴/3πr³

Plug in the values

V = ⁴/3 × 3.14 × 9.3³

V = ⁴/3 × 3.14 × 804.357

V = (4*3.14*804.357)/3

V = 3,367.57463

V = 3,367.6 cm³ (nearest tenth)

6 0
3 years ago
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