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vesna_86 [32]
3 years ago
14

Fill the blank with , or = please help quick!

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
3 0

Answer:

44. answer = a. (<)

45. answer = b. (>)

Step-by-step explanation:

To find the relation between the angles, we can use the law of sines in the triangle that contains both angles.

So for question 44, the angles mQRW and mRWQ are both in the triangle QWR, so we have:

10 / sin(mQRW) = 17 / sin(mRWQ)

sin(mQRW) / sin(mRWQ) = 10 / 17

The bigger the sine of the angle, the bigger the angle, so if the ratio between the sine of mQRW and sine of mRWQ is lesser than 1, the angle mQRW is lesser than the angle mRWQ (correct option: a.)

In the same way, in the question 45, the angles mRTW and mTWR are both in the triangle TWR, so we have:

15 / sin(mRTW) = 8 / sin(mTWR)

sin(mRTW) / sin(mTWR) = 15 / 8

If the ratio between the sine of mRTW and sine of mTWR is greater than 1, the angle mRTW is greater than the angle mTWR (correct option: b.)

Basically, the angle opposite to the greater side is the greater angle, and the angle opposite to the smaller side is the smaller angle.

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An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 2 of 2 : S
ziro4ka [17]

Answer:

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

Sample of 421 new car buyers, 75 preferred foreign cars. So n = 421, \pi = \frac{75}{421} = 0.178

85% confidence level

So \alpha = 0.15, z is the value of Z that has a pvalue of 1 - \frac{0.15}{2} = 0.925, so Z = 1.44.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 - 1.44\sqrt{\frac{0.178*0.822}{421}} = 0.151

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.44\sqrt{\frac{0.178*0.822}{421}} = 0.205

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

8 0
2 years ago
2968 Divided. By. 56. What. Is the answer to this problem please show your work
Sladkaya [172]

Answer:

53

Step-by-step explanation:

i had to use this old method (pic related).

8 0
2 years ago
Over the weekend Ella ran three times as many miles as Vera. Together they ran 24 miles. How many miles did Vera run?
Butoxors [25]

answer is 72

ella ran 3times as many and vera

24 x3=72 miles more

4 0
3 years ago
Is it multiplication or division?...How much ch ice cream does each cone hold of four cones hold 1/2 pound
zubka84 [21]

2 ounces

using the conversion

1 pound = 16 ounces ⇒ \frac{1}{2} = 8 ounces

Divide 8 by 4 to calculate amount for each cone

amount = 8 ÷ 4 = 2 ounces


4 0
2 years ago
7^8 x 7^3 x 7^4 divided by 7^9 x 7^5 ASAP answer please and thankyou
sergeinik [125]

Answer:

\huge\underline\color{purple}{Answer ☘}

7 {}^{8}  \times 7 {}^{3}  \times 7 {}^{4}  \div 7 {}^{9}  \times 7 {}^{5}  \\  =  > 7 {}^{8 + 3 + 4 - 9 + 5 }  \\  =  > 7 {}^{11}

<h3>furthєr... </h3>

<h2>7¹¹ = 1977326743</h2>

<h2>———————————</h2>

\color{pink}\boxed{Additional \: \: Information♡}

properties \: that \: we \: used \: while  \\  solving \: the \: question \: are \: as \: follows -  \\  \\ x {}^{m}  \times x {}^{n}  = x {}^{m + n}  \\  \frac{x {}^{m} }{x  {}^{n} }  = x {}^{m - n}

<h2>———————————</h2>

hσpє hєlpful~

<h2>~вє вrαínlч!</h2>
8 0
2 years ago
Read 2 more answers
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