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Shtirlitz [24]
3 years ago
10

Karin wants to use the distributive property to find the value of 19·42+19·58 mentally. Which expression can she use?

Mathematics
1 answer:
katrin2010 [14]3 years ago
7 0
19 * 42 + 19 * 58 =
19(42 + 58) =
19 * 100 =
1900
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Susan has 4 times as much money as her sister .If Susan has ten dollars ,how much money does her sister have.
vredina [299]

$2.50 of money because 4 times 2.5 = 10

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3 years ago
Is it rational or irrational?
ElenaW [278]
It is a rational number
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2 years ago
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For questions 2 z 3. simplify each polynomial <br>2. 3x²+6-2x+5x-4x²+9<br>3. 2x²+6x-7x+8-3x²+1​
Mars2501 [29]

Answer:

2. -x^{2} +3x+15

3. -x^{2} -x+9

Step-by-step explanation:

We add like terms together to simplify

2.  3x²-4x²= -x²     -2x+5x= 3x  6+9= 15  all equal to -x²+3x+15

3.  2x²-3x²= -x²      6x-7x= -x    8+1=9      all equal to -x²-x+9

7 0
2 years ago
In a random sample of males, it was found that 28 write with their left hands and 210 do not. In a random sample of females, it
Drupady [299]

Answer:

a) Null hypothesis:p_{M} \geq p_{W}  

Alternative hypothesis:p_{M} < p_{W}  

b) z=\frac{0.118-0.125}{\sqrt{0.122(1-0.122)(\frac{1}{238}+\frac{1}{497})}}=-0.271    

c)p_v =P(Z   

d) If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the proportion of men that write with their left hand is NOT significant lower than the proportion of female that write with their left hand

Step-by-step explanation:

1) Data given and notation  

X_{M}=28 represent the number of men that write with their left hand

X_{W}=62 represent the number of women  that write with their left hand

n_{M}=210+28=238 sample of male selected

n_{W}=62+435=497 sample of female selected

p_{M}=\frac{28}{238}=0.118 represent the proportion of men  that write with their left hand

p_{W}=\frac{62}{497}=0.125 represent the proportion of women that write with their left hand

\alpha=0.05 represent the significance level

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 rate of left-handedness among males is less than that among females , the system of hypothesis would be:  

Null hypothesis:p_{M} \geq p_{W}  

Alternative hypothesis:p_{M} < p_{W}  

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

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

Where \hat p=\frac{X_{M}+X_{W}}{n_{M}+n_{W}}=\frac{28+62}{238+497}=0.122

3) Calculate the statistic

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

z=\frac{0.118-0.125}{\sqrt{0.122(1-0.122)(\frac{1}{238}+\frac{1}{497})}}=-0.271  

4) Statistical decision

We have a significance level provided \alpha=0.05, and now we can calculate the p value for this test.  

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

p_v =P(Z  

If we compare the p value and the significance level given \alpha=0.05, 0,1,0.15 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the proportion of men that write with their left hand is NOT significant loer than the proportion of female that write with their left hand .  

6 0
2 years ago
The average speed of one team in a relay race is about 10 miles per hour. What is the speed in feet per second?
ki77a [65]

10 miles per second in feet per second is 14.67 feet per second

Step-by-step explanation:

The average speed of one team in a relay race = 10 miles per hour.

We need to find the speed in feet per second.

  • The conversion rule is:

             1 mile per hour = 1.467 feet per second

So, Speed in feet per second is:

 1 mile per hour = 1.467 feet per second

10 miles per hour = 10*1.467 feet per second

                             = 14.67 feet per second

So, 10 miles per second in feet per second is 14.67 feet per second

Keywords: Conversion of units

Learn more about Conversion of units at:

  • brainly.com/question/10940255
  • brainly.com/question/13005855
  • brainly.com/question/6436086

#learnwithBrainly

5 0
3 years ago
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