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Daniel [21]
3 years ago
15

Fill in the blanks. In the 30-60-90 triangle below, side s has a length of____ and side r has a length of____.

Mathematics
1 answer:
horrorfan [7]3 years ago
6 0
Answer:
square root of 3 and 2.
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–8 p + 4 u + 6, when p = 9 and u = 3<br> Ok at this point I'm double checking all of my answers lol
algol13

Answer:

-54

Step-by-step explanation:

-72+12+6

4 0
3 years ago
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Which is better value for money: 2 pizzas for<br> £12 or 4 pizzas for £28?
Mars2501 [29]

For the first one, each pizza is $6

For the second one, each pizza is $7

The first one is the answer

4 0
3 years ago
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An emergency room doctor prescribes a certain pain medication to be delivered through an IV drip. She prescribes 800 mL of the
Keith_Richards [23]

Answer:

The number of drips per minute needed to deliver the medication at the prescribed dosage is 50 drips per minute

Step-by-step explanation:

The given parameters are;

The volume of the prescribed medication to delivered through IV = 800 mL

The duration over which the drug is to be delivered = 8 hours

The rate at which the IV delivers the medication = 30 drips/1 mL

800 mL = 800 × 1 mL

Therefore, the total number of drips in 800 mL= 800 mL × 30 drips/mL = 24,000 drips

The rate at which the drug is delivered = 800 mL/(8 hours) = 100 mL/hr = 100/60 mL/minute = 10/6 mL/minute

The total number of drips in 10/6 mL= 10/6 mL × 30 drips/mL = 50 drips

∴ The rate at which the medication needs to be delivered = 10/6 mL/minute = 50 drips/minute

The number of drips per minute needed to deliver the medication at the prescribed dosage of 800 mL/(8 hours) = 10/6 mL/minute = 50 drips per minute.

8 0
3 years ago
Suppose 5 men and 7 women are on a crowded elevator. At the next floor, four people get off the elevator. Find the probability t
Svetach [21]

Answer:    \bold{\dfrac{1}{99}}

<u>Step-by-step explanation:</u>

There are 5 men and 7 women, which is a total of 12 people.  Finding the probability that none of the four people are women is the same as saying that all four people are men.

\dfrac{5\ men}{12\ total\ people}\ and\ \dfrac{4\ men\ remaining}{11\ people\ remaining}\ and\ \dfrac{3\ men}{10\ people}\ and\ \dfrac{2\ men}{9\ people}\\\\\\=\dfrac{5\times 4\times 3\times 2}{12\times 11\times 10\times 9}\\\\=\dfrac{(4\times 3)\times (2\times 5)}{12\times 11\times 10\times 9}\\\\=\dfrac{1}{11\times 9}\\\\=\dfrac{1}{99}

5 0
3 years ago
Consider the estimated equation from Example 4.3, which can be used to study the effects of skipping class on college GPA: 2 col
AlekseyPX

Answer:

Step-by-step explanation:

1) The confidence interval is calculated as the following

CI = ( \bar x-1.96 \sigma ,\bar x=1.96 \sigmam)

= (0.412-1.96 \times 0.094, 0.412 = 1.96 \times 0.094)\\\\= (0.22776, 0.59624)

Hence, the confidence interval is 0.22776 \leq  \beta_G_P_A \leq 0.59624)

11) Under two sid t-tailed test, the null hypothesis

H_0; \beta_{GPA}=0.4

Against the alternative hypothesis

H_1 ; \beta _{GPA} \neq 0.4

Under null hypothesis

t = \frac{\hat \beta _1 - \beta _1}{Se( \beta _1)} \\\\ =\frac{0.412-0.4}{0.094} \\\\=0.12766

The degree of freedom is n - 1 = 140

From the t - table at 5% level of significance under two - tail is 1.96

Since , calculated value is lowe than the tabulated value, we do not reject the null hypothesis.

3 0
3 years ago
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