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-Dominant- [34]
3 years ago
8

Identify the properties of the given quadratic.

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
8 0

Answer:

A:-3 B:6 C:17

Step-by-step explanation:

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4. PO
Blizzard [7]

Answer:

She has 44 stamps left

Step-by-step explanation:

6 0
3 years ago
An elevator has a stated maximum capacity of 12 people or 2004 pounds. If 12 people have weights with a mean greater than (2004/
weqwewe [10]

Answer:

a) 0.6517; b) 0.9115; c) No

Step-by-step explanation:

For part a, we will use the formula for a z score of an individual:

z=\frac{X-\mu}{\sigma}\\\\=\frac{167-182.9}{40.8}\\\\=\frac{-15.9}{40.8}\approx -0.39

Using a z table, we see that the area under the curve to the left of this value is 0.3483.  However, we want the probability greater than this, which is the area to the right of this value under the curve; this means we subtract from 1:

1-0.3483 = 0.6517

For part b, we will use the formula for a z score of the mean of a sample:

z=\frac{\bar{X}-\mu}{\sigma \div \sqrt{n}}\\\\=\frac{167-182.9}{40.8\div \sqrt{12}}\\\\=\frac{-15.9}{40.8\div 3.4641}\\\\=\frac{-15.9}{11.778}\approx -1.35

Using a z table, we see that the area under the curve to the left of this value is 0.0885.  This means the area under the curve to the right of this value is

1-0.0885 = 0.9115

For part c,

The fact that the probability that any 12 men on the elevator will have a mean weight greater than 167, putting their total weight above 2004 pounds, is 91% means the elevator does not have the appropriate limit.  There is a high chance the maximum will be exceeded.

8 0
3 years ago
Consider the following sequence of numbers 3, -9, 27, -81, ….
lesya [120]

<u>QUESTION 1</u>

The given sequence is 3,-9,27,-81,....

The first term of the sequence is a_1=3

The second term is a_2=-9


The common ratio can be found using any two consecutive terms of the sequence.

Thus, the common ratio is given by r=\frac{a_n}{a_{n-1}}.


This implies that,

r=\frac{-9}{3}

This simplifies to,

r=-3


The correct answer is C


<u>QUESTION 2</u>

The sum of the first n terms of a geometric sequence is given by;

S_n=\frac{a_1(r^n-1)}{r-1}.

Since we are looking for the first five terms, we substitute n=5, a_1=3 and r=-3 into the formula to obtain,

S_5=\frac{3((-3)^5-1)}{-3-1}


This will evaluate to give us;

S_5=\frac{3(-243-1)}{-3-1}


S_5=\frac{3(-244)}{-4}


\Rightarrow S_5=3\times 61


\Rightarrow S_5=183


The correct answer is A






8 0
4 years ago
Read 2 more answers
Evaluate √ 9.6230 * 2.340 / 5.3 10 * 3.721​
adoni [48]

Answer:

\sqrt{15.76}

Step-by-step explanation:

\sqrt{9.6230 \frac{2.340}{5.310}3.721 }

Lets solve the fraction first

\frac{2.340}{5.310} =0.44

9.6230 x 0.44 = 4.23

4.23 x 3.721 = 15.76

\sqrt{15.76}

7 0
3 years ago
NEED HELP ASAP WILL GIVE BRAINLIEST! :)
blagie [28]

Answer:

it adds up to 180 so the missing parts would be whats left.

Step-by-step explanation: 35 +105=( you fill it in)

the numbe you filled in minuse 180

5 0
3 years ago
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