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mina [271]
4 years ago
8

Find an expression in simplest form for the verbal description The total pay for twelve hours of work at a base of p per hour pl

us a temporary raise of $3.50 per hour
Mathematics
1 answer:
Doss [256]4 years ago
7 0

Answer:

Total pay=12p+42

Step-by-step explanation:

From the information given, the total pay for twelve hours of work would be the result of adding the base per hour plus $3.50 that is the temporary raise and multiplying this for the number of hours. Based on this, the expression in simplest form is:

Total pay=(p+3.50)*12

Total pay=12p+42

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Find the volume of the sphere
Aloiza [94]

The volume of a sphere is V = \frac{4}{3} \pi r^3

The radius is 6.1 and \pi = 3.14, now let's plug it into the equation

 V = \frac{4}{3} \pi (6.1)^3 = 950.3

Thus the volume is 950.3cm^3

Hope that helps!

 

3 0
2 years ago
Two people (A and B) travel from X and Y along different routes. their journeys each take the same amount of time. a’s route is
Trava [24]

Answer:

a’s average speed is 60km/h

Step-by-step explanation:

x = a’s average speed

60/40 = 90/x

Cross multiplication:

60x = 40x90

60x=3600

Divide both sides  by 60

x= 60

4 0
3 years ago
Darren uses a family recipe to make hamburgers the recipe calls for 1/4 cup of breadcrumbs for every pound of hamburger if there
denis23 [38]

6 ²/₃

Step-by-step explanation:

The ration of breadcrumbs to Hamburger is;

¼ : 1

How about 1 ¹/₃ breadcrumbs : ? (x) hamburgers

We cross multiply the two;

1/4x = 1 ¹/₃ * 1

¼ x = 5/3

X  =  5/3 * 4

X = 20/3

X = 6 ²/₃

Learn More:

For more on extrapolating proportions check out;

brainly.com/question/11476035

brainly.com/question/11899092

brainly.com/question/254220

brainly.com/question/834661

#LearnWithBrainly

8 0
3 years ago
Using a sequencing method called "RNAseq," a researcher determines the level of FOXP2 expression
Wewaii [24]

The Z-score is 2.306 to three decimal places. However, the Z-test statistic value shows that it is greater than the Z-critical value, so we reject the null hypothesis \mathbf{H_o}

<h3>What is the Z-score of a test statistic?</h3>

A z-score is a measurement of how often standard deviations the score obtained from a z-test is beyond or under the mean population.

From the given data information, let us find the mean and the standard deviation.

\mathbf{Mean (\bar  x) = \dfrac{1154+5998+1007+...3987+4187+887}{10}}

\mathbf{Mean (\bar  x) = \dfrac{24256}{10}}

Mean (x) = 2425.6

The hypothesis testing can be computed as:

\mathbf{H_o: \mu = 2425.6}

\mathbf{H_1: \mu \ne 2425.6}

The standard deviation (σ) is:

\mathbf{=\mathbf{ \sqrt{\dfrac{(1154-2425.6)^2+....+(887-2425.6)^2}{10-1}}}}

\mathbf{= \sqrt{3199489}}

= 1788.71

Now, the Z-test statistic is determined using the formula:

\mathbf{|Z| = |\dfrac{\bar x - \mu }{\sigma}| }

\mathbf{|Z| = |\dfrac{2425.6 -6550 }{1788.71}| }

\mathbf{|Z| = |-2.3058|  }

Z ≅ 2.306  

Therefore, at a 0.05 level of significance, the Z-critical value is 2.306. However, since the Z-test statistic value shows that it is greater than the Z-critical value, so we reject the null hypothesis \mathbf{H_o}

The complete question is given as:

Using a sequencing method called "RNAseq," a researcher determines the level of FOXP2 expression in 10 different samples of lung tissue, and obtains these data:

  • 1154 5998 1007 2501 1000 988 2547 3987 4187 887

Scientist has previously determined that FOXP2 is expressed in brain tissue at a level of 6,550. Calculate the Z-score associated with a test to see if the average expression of FOXP in her lung tissue samples is different from the levels she measured from brain tissue.

Learn more about calculating the Z-score of a test statistics here:

brainly.com/question/15569214

#SPJ1

8 0
2 years ago
231 km 811 m + 485 km 829 m
Goshia [24]
The answer I got is 717.64 but I could be wrong
5 0
4 years ago
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