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den301095 [7]
3 years ago
6

Susan, Deon, and Felipe sent a total of 160 text messages during the weekend. Felipe sent 4 times as many messages as Susan. Deo

n sent 10 more messages than Susan. How many messages did they each send
Mathematics
1 answer:
Romashka [77]3 years ago
7 0

Answer:

Susan sent 25 messages

Felipe sent 100 messages

Deon sent 35 messages

Step-by-step explanation:

160 = x + 4x + x + 10

160 = 6x + 10

6x = 150

x = 25

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State when the following equation will be true:<br> 36=9w hurry please
Ira Lisetskai [31]

Answer:

w=4

Step-by-step explanation:

4 0
3 years ago
The solution to an inequality is graphed on the number line.
Charra [1.4K]

Because the arrow is pointing to the left, the answer to the solution set needs to be less than the the number the dot is on.

A solid dot on a number means that that number is included in the solution set.

In the picture the solid dot is on 4.5, so the solution set needs to be equal to or less than 4.5.

The answer is:

{x | x ≤ 4.5}

4 0
3 years ago
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An electrical rm manufactures light bulbs that have a life span that is approximately normally distributed. The population stand
stira [4]

Answer:

The 't' test statistic = 1.46 < 1.69

The test of hypothesis is H 0 :μ = 800 is accepted

A sample of 30 bulbs are found came from average µ= 800

Step-by-step explanation:

Step 1:-

Given population of mean μ = 800

given size of small sample n =30

sample standard deviation 'S' = 45

Mean value of the sample χ = 788

Null hypothesis H_{0} =µ  =800

alternative hypothesis  H_{1} = µ ≠ 800

<u>Step 2</u>:-

The 't' test statistic t =  \frac{x-μ}{\frac{sig}{\sqrt{n} } }

                             t = \frac{788-800}{\frac{45}{\sqrt{30} } }

                       t = \frac{12}{8.215} = 1.4607

<u>Step 3</u>:-

The degrees of freedom γ = n-1 = 30-1 =29

From "t" value from table at 0.05 level of significance ( t = 1.69)

The calculated value t = 1.4607 < 1.69

Therefore The null hypothesis H_{0} ' is accepted.

<u>conclusion</u>:-

A sample of 30 bulbs are came found from average µ= 800

7 0
3 years ago
A local company rents a moving truck for $750 plus $0.59 per mile driven over 1000 mi. What is the maximum number of miles the t
Katen [24]

The maximum number of miles the truck can be driven so that the rental cost is at most \$1000 is \boxed{1423{\text{ miles}}}.

Further explanation:

Given:

A local company rents a moving truck for \$ 750.

Rent per mile is \$ 0.59 if the truck moves more than 1000 miles.

Explanation:

The rental cost of the truck is \$ 750 if he drove less than 1000 miles.

{\text{Cost}} = \$ 750{\text{   }}x \leqslant 1000

The rental cost of the truck can be expressed as follows,

{\text{Cost}} = 750 + 0.59x{\text{  }}x > 1000

The rental cost is at most \$1000.

750 + 0.59x \leqslant 1000

The maximum number of miles can be obtained as follows,

\begin{aligned}0.59x &\leqslant 1000 - 750\\0.59x &\leqslant 250\\x &\leqslant \frac{{250}}{{0.59}}\\x &\leqslant 423.7\\\end{aligned}

The maximum number of miles can be obtained as follows,

\begin{aligned}{\text{Maximum miles}} &= 1000 + 423\\&= 1423 \\\end{aligned}

The maximum number of miles the truck can be driven so that the rental cost is at most \$1000 is \boxed{1423{\text{ miles}}}.

Learn more:

  1. Learn more about inverse of the function brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear inequality

Keywords: local company, rents, moving, truck, $750, $0.59, maximum, 1000 miles, $1000, at most, at least, number of miles, rental cost, driven over  

3 0
3 years ago
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Recent research published by Frumin and colleagues (2011) in the journal Scienceaddresses whether females' tears have an effect
iogann1982 [59]

Answer: Option C.  [0.95, 1.59].

Step-by-step explanation:

We know that the mean is:

M = 1.27

and the margin of error is:

e = 0.32

This means that the actual value can be at a maximum distance of 0.32 from the mean.

then the interval will be:

[M - e, M + e].= [1.27 - 0.32, 1.27 + 0.32].= [0.95, 1.59].

The correct option is C.

3 0
3 years ago
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