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LUCKY_DIMON [66]
3 years ago
6

Find x. (More info in pic)

Mathematics
1 answer:
Studentka2010 [4]3 years ago
7 0

Answer:

it would be B.

Step-by-step explanation:

if you do 4x+20=3x

then you solve x by simplifying both sides of the equation and isolate the variable.

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Explain how the model represents 5/ 1third
Ilia_Sergeevich [38]

Here is ur perfect answer

3 0
2 years ago
The product of a number and -7 is at most -70. what is inequality 18 points
zimovet [89]

Answer:

Inequality :

-7x\le \:-70

Step-by-step explanation:

Let the unknown number be x

at most -70 = ≤ -70

x\times(-7) \leq -70\\\\-7x\leq -70

Solving further  :

-7x\le \:-70\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-7x\right)\left(-1\right)\ge \left(-70\right)\left(-1\right)\\\\Simplify\\\\7x\geq 70\\\\\mathrm{Divide\:both\:sides\:by\:}7\\\\\frac{7x}{7}\ge \frac{70}{7}\\\\Simplify\\\\x \geq 10

3 0
2 years ago
Find the value of a/b/c if a=1/3, b=1/2, c=1/6
densk [106]

Answer: The answer is 0.1111111111111

Step-by-step explanation:

8 0
3 years ago
The mean annual premium for automobile insurance in the United States is $1503 (Insure website, March 6, 2014). Being from Penns
romanna [79]

Answer:

If we compare the p value and the significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean annual premium in Pennsylvania is significantly lower than the national mean annual premium of 1503 at 5% of significance.

Step-by-step explanation:

1) Data given and notation  

\bar X=1440 represent the mean annual premium value for the sample  

s=165 represent the sample standard deviation for the sample  

n=25 sample size  

\mu_o =1503 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

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

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean annual premium in Pennsylvania is lower than the national mean annual premium, the system of hypothesis would be:  

Null hypothesis:\mu \geq 1503  

Alternative hypothesis:\mu < 1503  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{1440-1503}{\frac{165}{\sqrt{25}}}=-1.909    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=25-1=24  

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

p_v =P(t_{(24)}  

Conclusion  

If we compare the p value and the significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean annual premium in Pennsylvania is significantly lower than the national mean annual premium of 1503 at 5% of significance.  

7 0
3 years ago
Five carpenters worked 15 &amp; 3/4, 15 &amp; 1/4, 17 &amp; 1/2, 12 &amp; 1/2 and 17 &amp; 1/2 hours respectively. What was the
azamat

<u>The total </u><u>labor cost</u><u>  of the carpenters is $2296.91</u>

The carpenters worked 15\frac{3}{4} , 15\frac{1}{4}, 17\frac{1}{2}, 12\frac{1}{2}, 17\frac{1}{2}

<h3>Conversion of Fraction</h3>

Let's convert the mixed fraction to improper fraction

So, we would have

  • 63/4,
  • 61/4,
  • 35/2,
  • 25/2
  • 35/2.
<h3>Working Cost</h3>

Let's sum it up and multiply by the working cost per hour

63/4 + 61/4 + 35/2 + 25/2 + 35/2 =78.5

  • The total labor cost is = total hours worked * hourly rate.

This becomes 78.5*29.26=2296.91

<u>The total labor cost is $2296.91</u>

Learn more about rate here;

brainly.com/question/1115815

3 0
2 years ago
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