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3 years ago

I need help with these questions (see image). Please show workings.

Mathematics

2 answers:

shtirl [24]3 years ago

5 0

Answer:

Inscribed angle is half of the intercepted arc.
Central angle is the same size as the intercepted arc.

<u>As per above two statements we have:</u>

y = 2*58° = 116°

and

z = 90°/2 = 45°

Bingel [31]3 years ago

3 0

Answer:

y=58×2=116 central angle of the cyclic quadrilateral is double if inscribed angle

z=90/2=45

inscribed angle is half of central angle of the cyclic quadrilateral

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Suppose that the number of bacteria in a certain population increases according to an exponential growth model. A sample of 2600

melisa1 [442]

Answer: There is 3.994% continuous growth rate per hour.

Step-by-step explanation:

Since we have given that

Initial bacteria = 2600

After two and a half hours,

Number of bacteria = 2873

We need to find the continuous growth rate per hour.

As we know the equation for continuous growth rate per hour.

$y=y_0e^{rt}\\\\2873=2600e^{2.5r}\\\\\dfrac{2873}{2600}=e^{2.5r}\\\\1.105=e^{2.5r}\\\\\text{Taking log on both the sides}\\\\\ln 1.105=2.5r\\\\0.0998=2.5r\\\\r=\dfac{0.0998}{2.5}\\\\r=0.0399\times 100\\\\r=3.994\%$

Hence, there is 3.994% continuous growth rate per hour.

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3 years ago

A customer member owe 16.50 and pays $20 in cash the change due is 3.50 provide the amount owe using the smallest number of bill

Daniel [21]

Answer:

Step-by-step explanation:

2 plus 6 is 8, 8 divided by 2 is 4

7 0

3 years ago

Read 2 more answers

The mean percent of childhood asthma prevalence in 43 cities is 2.16%. A random sample of 31 of these cities is selected. What i

IceJOKER [234]

Probability that the mean childhood asthma prevalence for the sample is greater than 2.6% is 0.0357 or 3.57 %.

What is Probability ?

Probability is the measure of likelihood of an event.

For a Normal Distribution ,

the z-score formula is given by

$\rm Z = \dfrac{X - \mu }{\sigma}$

Here $\rm \mu\\$ is the mean and $\rm \sigma\\$ is the standard deviation .

It is the measure of the deviation of the data from its central tendency.

Each z-score has a probability value.

It is given in the question that

Mean of 2.16% = $\rm \mu\\$ = 2.16

Standard deviation of 1.36% means that $\rm \sigma\\$ = 1.36

For Sample of 31 the value of standard deviation is $\rm s = \dfrac{\sigma}{\sqrt{n}}$

s = 1.36/√31

s = 0.2442

Substituting the values

Z = (2.6 -2.16)/0.2442

Z =1.8

the p value from the graph of z and p , 0.9643

To determine value of probability more than X is 1 - 0.9643= 0.0357

the

Probability that the mean childhood asthma prevalence for the sample is greater than 2.6% is 0.0357.

To know more about Probability

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2 years ago

In exercises 8-10, write a system of linear equations that has the ordered pair as its solution. (-6, -2)

Anika [276]

Answer:

(8) $x + y = -8$ and $2x - y = -10$

(9) $3x - y = -54$ and $4x + y = -30$

(10) $x + y = 2$ and $x - y = 2$

Step-by-step explanation:

Given [Missing from the question]

$(8).\ (-6,-2)\ \\ (9).\ (-12,18)\ \\ (10).\ (2,0)$

Required

Write a system of linear equations

The solutions to this question is open and have different solutions

Solving (8) (-6,-2)

Let the equations be: x + y and 2x - y

$x + y = -6 - 2$

$x + y = -8$ --- (1)

$2x - y = 2 * (-6) - (-2)$

$2x - y = -10$ -- (2)

So, the equations are:

$x + y = -8$ and $2x - y = -10$

Solving (9) (-12, 18)

Let the equations be: 3x - y and 4x + y

$3x - y = 3 *(-12) - 18$

$3x - y = -54$

$4x + y = 4 * (-12) + 18$

$4x + y = -30$

So, the equations are:

$3x - y = -54$ and $4x + y = -30$

Solving (9): (2,0)

Let the equations be: x + y and x - y

$x + y = 2 + 0$

$x + y = 2$

$x - y = 2 - 0$

$x - y = 2$

So, the equations are:

$x + y = 2$ and $x - y = 2$

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2 years ago

I need help please! dont guess please I really need the correct answer this is a test quesion1

Fudgin [204]

Answer: B

Step-by-step explanation:

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3 years ago

I need help with these questions (see image). Please show workings.​

I need help with these questions (see image). Please show workings.