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4 years ago

9 and 10 PLEASE ITS SO HARD!!!!

Mathematics

2 answers:

RUDIKE [14]4 years ago

4 0

9) Here, Two angles are unknown without any relation not even a variable.
So, we could calculate the sum of that two unknown angles only,not their individual magnitude.

It would be: 50 + 152 + missing angles = 360
m.a = 360 - 202
m.a = 158

In short, Sum of two Unknown angles would be 158

10) Here, ABCD is a Quadrilateral, so their adjacent side would make a linear pair equation, means their sum would be equal to 180

So, ∠1 + ∠2 = 180

Hope this helps!

astraxan [27]4 years ago

3 0

For 9: All the angle should add up to 360 degrees.

So 152+50=202

360-202=158 degrees (Missing angle measure)

Method being used: All angle should add up to 360 degrees.

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In studies for a medication, 3 percent of patients gained weight as a side effect. Suppose 643 patients are randomly selected.

timofeeve [1]

Part a)

It was given that 3% of patients gained weight as a side effect.

This means

$p = 0.03$

$q = 1 - 0.03 = 0.97$

The mean is

$\mu = np$

$\mu = 643 \times 0.03 = 19.29$

The standard deviation is

$\sigma = \sqrt{npq}$

$\sigma = \sqrt{643 \times 0.03 \times 0.97}$

$\sigma =4.33$

We want to find the probability that exactly 24 patients will gain weight as side effect.

P(X=24)

We apply the Continuity Correction Factor(CCF)

P(24-0.5<X<24+0.5)=P(23.5<X<24.5)

We convert to z-scores.

$P(23.5 \: < \: X \: < \: 24.5) = P( \frac{23.5 - 19.29}{4.33} \: < \: z \: < \: \frac{24.5 - 19.29}{4.33} ) \\ = P( 0.97\: < \: z \: < \: 1.20) \\ = 0.051$

Part b) We want to find the probability that 24 or fewer patients will gain weight as a side effect.

P(X≤24)

We apply the continuity correction factor to get;

P(X<24+0.5)=P(X<24.5)

We convert to z-scores to get:

$P(X \: < \: 24.5) = P(z \: < \: \frac{24.5 - 19.29}{4.33} ) \\ = P(z \: < \: 1.20) \\ = 0.8849$

Part c)

We want to find the probability that

11 or more patients will gain weight as a side effect.

P(X≥11)

Apply correction factor to get:

P(X>11-0.5)=P(X>10.5)

We convert to z-scores:

$P(X \: > \: 10.5) = P(z \: > \: \frac{10.5 - 19.29}{4.33} ) \\ = P(z \: > \: - 2.03)$

$= 0.9788$

Part d)

We want to find the probability that:

between 24 and 28, inclusive, will gain weight as a side effect.

P(24≤X≤28)=

P(23.5≤X≤28.5)

Convert to z-scores:

$P(23.5 \: < \: X \: < \: 28.5) = P( \frac{23.5 - 19.29}{4.33} \: < \: z \: < \: \frac{28.5 - 19.29}{4.33} ) \\ = P( 0.97\: < \: z \: < \: 2.13) \\ = 0.1494$

3 0

4 years ago

Hey! I need this pretty fast- just do the first one though! Thank you! :)

Karolina [17]

Step-by-step explanation:

A. part 1: $1.49 for 6 pencils

1 pencil would cost $1.49 / 6 = $0.24833(5s.f.) = $0.25 (nearest cent)

part 2: $4.60 for 20 pencils

1 pencil would cost $4.60 / 20 = $0.23

best value: part 2 (20pencil pack)

If you wish to explore more into mathematics you can give me a follow on Instagram (learntionary) I'll be regularly posting notes and tips for mathematics

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=494%20divided%20by%2019%2C594" id="TexFormula1" title="494 divided by 19,594" alt="494 divided

Vaselesa [24]

0.02521179 jdjdjdduhdbdjdhdhj

3 0

3 years ago

Can you show how you did it?<br> 8.31 - 3.43 =

d1i1m1o1n [39]

Answer:

4.68

Step-by-step explanation:

Remember to line up the decimal point. Subtract as ordinarily.

8.31

-3.43

--------

4.68

4.68 is your answer

7 0

3 years ago

NEED HELP Find values for a, b, c, and d so that the following matrix product equals the 2X2 identity matrix. Explain or show ho

ehidna [41]

We want to find the values of a, b, c, and d such that the given matrix product is equal to a 2x2 identity matrix. We will solve a system of equations to find:

b = 1
a = -1
c = -2
d = -1

<h3>Presenting the equation:</h3>

Basically, we want to solve:

$\left[\begin{array}{cc}-1&2\\a&1\end{array}\right]*\left[\begin{array}{cc}b&c\\1&d\end{array}\right] = \left[\begin{array}{cc}1&0\\0&1\end{array}\right]$

The matrix product will be:

$\left[\begin{array}{cc}-b + 2&-c + 2d\\a*b + 1&a*c + d\end{array}\right]$

Then we must have:

-b + 2 = 1

This means that:

b = 2 - 1 = 1

b = 1

We also need to have:

a*b + 1 = 0

we know the value of b, so we just have:

a*1 + b = 0

a = -1

Now the two remaining equations are:

-c + 2d = 0

a*c + d = 1

Replacing the value of a we get:

-c + 2d = 0

-c + d = 1

Isolating c in the first equation we get:

c = 2d

Replacing that in the other equation we get:

-(2d) + d = 1

-d = 1

d = -1

Then:

c = 2d = 2*(-1) = -2

c = -2

So the values are:

b = 1
a = -1
c = -2
d = -1

If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904

4 0

3 years ago