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anzhelika [568]
3 years ago
15

A school assembly had 90 students in attendance, and 80% of them were first-graders. How many first-graders were at the assembly

?
Mathematics
2 answers:
puteri [66]3 years ago
6 0

Answer:

72

Step-by-step explanation:

80/100=4/5

4/5 * 90 = 72

Sav [38]3 years ago
5 0

the answer is 72! Hope this helps! :)

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Out of 100 people sampled, 42 had kids. Based on this, construct a 99% confidence interval for the true population proportion of
maksim [4K]

Answer:

The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).

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 z-score that has a p-value of 1 - \frac{\alpha}{2}.

Out of 100 people sampled, 42 had kids.

This means that n = 100, \pi = \frac{42}{100} = 0.42

99% confidence level

So \alpha = 0.01, z is the value of Z that has a p-value of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.  

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 - 2.575\sqrt{\frac{0.42*0.58}{100}} = 0.293

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 + 2.575\sqrt{\frac{0.42*0.58}{100}} = 0.547

The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).

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3 years ago
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Y_Kistochka [10]

Answer:

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Step-by-step explanation:

5 0
3 years ago
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If ΔRED ≅ ΔTAN, then which of the following statements is not true? RE ≅ TA ∠E ≅ ∠A RD≅ TA ∠D ≅ ∠N
Assoli18 [71]

Answer:

RD≅ TA

Step-by-step explanation:

RD≅ TA is not true statement as they are not corresponding sides.

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3 years ago
Plz help and show work
scoundrel [369]

Answer:  If the 40% off coupon is used, the subtotal will be $12.69

The gratuity would be exactly $4.23   (He will probably leave $4.25)

Step-by-step explanation: To find out the amount  of the discount

.40 × 21.15 = 8.46

To find the new subtotal, subtract  12.15 - 8.46 = 12.69

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8 0
3 years ago
How to turn this equation: <br> y= -1.02(x-3)^2+9.25<br> into factored form
MatroZZZ [7]

Answer:

y=(102x-306-5\sqrt{3774})(102x-306+5\sqrt{3774})

Step-by-step explanation:

You first equate it to zero to get:

-1.02(x-3)^2+9.25=0

Then solve using square root method

-1.02(x-3)^2=-9.25

(x-3)^2=\frac{-9.25}{-1.02}

(x-3)^2=\frac{925}{102}

x=3\pm\sqrt{\frac{925}{102}}

Or

x=3\pm{\frac{5\sqrt{3774}}{102}}

x={\frac{306\pm5\sqrt{3774}}{102}}

Now work it backwards

102x-(306\pm5\sqrt{3774})=0

(102x-306-5\sqrt{3774})(102x-306+5\sqrt{3774})=0

Hence the factored form is:

y=(102x-306-5\sqrt{3774})(102x-306+5\sqrt{3774})

8 0
3 years ago
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