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Semenov [28]
3 years ago
11

The Lewis family went out to an expensive restaurant for dinner. The bill was $108.00. Mr.Lewis wanted to leave a 15% tip. How m

uch did he pay in all, including the tip?
Mathematics
1 answer:
Luden [163]3 years ago
3 0
So you find 15% of the $108 which is $16.20 you do this by 15/100*108. Then you add $16.20 to 108 and you get $124.20.

So the answer is $124.20
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Given that KD is congruent to AT prove that angle K is congruent to angle T
Mademuasel [1]

KD is congruent to AT as:

<h3>angles are of equal measure</h3><h3>sides KD and TA are equal</h3><h3>sides DT and KA are equal</h3>

The figure is kite as has two pairs of same sides.

<h3>They are constructed in a way of having same angle.</h3>
7 0
2 years ago
In the 1980’s, a clinical trial was conducted to determine if taking an aspirin daily reduced the incidence of heart attacks. Of
zubka84 [21]

There is enough evidence to conclude that taking aspirin cannot  reduces the chance of cancer.

Given sample size of patients take aspirin 11037, sample size of patients who have assigned placebo group be 11034. 104 doctors who take aspirin had a heart attack, 189 doctors had placebo had heart attacks.

First we have to form hypothesis.

H_{0} :p{1} -p_{2} =0

H_{1}:p_{1} -p_{2} < 0

We have to find the respective probabilities.

p_{1}=104/11037

=0.0094

p_{2}=189/11034

=0.0171

Now their respective margin of errors.

s_{1}=\sqrt{ {(0.0094*0.9906)/11037}

=0.0009

s_{2}=\sqrt{0.0171*0.9829}

=0.0011

Hence the distribution of the differences,they are given by:

p=p_{1} -p_{2}

=0.0094-0.0171

=-0.0077

S=\sqrt{s_{1} ^{2}+s_{2} ^{2}  }

=\sqrt{(0.0009)^{2} +(0.0011)^{2} }

=0.00305

z=(p -f)/S (In which f=0 is the value tested at the null hypothesis)

=(-0.0077-0)/0.00305

=-2.52

p value will be 0.005.

p value of 0.05 significance level.

z=1.96.

1.96>0.005

So we will reject the null hypothesis which means it cannot reduce the whole chance of becomming a heart attack.

Hence there is enough evidence to conclude that taking aspirin cannot  reduces the chance of cancer.

Learn more about t test at brainly.com/question/6589776

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6 0
2 years ago
Find the sum of the arithmetic series in which a1 = –68, d = –3, and n = 20.
harkovskaia [24]

Step-by-step explanation:

Sum of 20 terms in thr arithmetic sequence adds up to -1930

6 0
2 years ago
Which of the x-values are solutions to the following inequality? x&lt;365
vladimir1956 [14]

Answer:

Choice A ; Choice B

Step-by-step explanation:

x < 365

x ∈ ( -oo ; 365 )

Solutions :

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x = 99

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x = 361

7 0
3 years ago
What are the constants in the expression below? Check all that apply.
AlexFokin [52]
Constants are numbers alone with no variables.

The constants are: 12, -3.7, 1/3
4 0
3 years ago
Read 2 more answers
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