AD←→ is tangent to circle M at point D. The measure of ∠DMQ is 58º.


What is the measure of ∠DQM ?

Answer:

[tex]\fbox{\begin{minipage}{10em}Option A is correct\end{minipage}}[/tex]

Step-by-step explanation:

Step 1: Define significance level

In this hypothesis testing problem, significance levels α is selected: [tex]0.05[/tex], the associated z-value from Laplace table:

Φ([tex]z[/tex]) = α - [tex]0.5 = 0.05 - 0.5 = -0.45[/tex]

=> [tex]z[/tex] = [tex]-1.645[/tex]

Step 2: Define null hypothesis ([tex]H_{0}[/tex]) and alternative hypothesis ([tex]H_{1}[/tex])

[tex]H_{0}[/tex] : rate of flu infection [tex]p[/tex] = 8.3% or 8.3/100 = 0.083

[tex]H_{1}[/tex] : rate of flu infection [tex]p[/tex] < 8.3% or 8.3/100 = 0.083

Step 3: Apply the formula to check test statistic:

[tex]K = \frac{f - p}{\sqrt{p(1 - p)} } * \sqrt{n}[/tex]

with [tex]f[/tex] is actual sampling percent, [tex]p[/tex] is rate of flu infection of [tex]H_{0}[/tex], [tex]n[/tex] is number of samples.

The null hypothesis will be rejected if [tex]K < z[/tex]

Step 4: Calculate the value of K and compare with [tex]z[/tex]

[tex]K = \frac{(\frac{3.5}{100}) - 0.083}{\sqrt{0.083(1 - 0.083)} } * \sqrt{200} = -2.46[/tex]  

We have [tex]-2.46 < -1.645[/tex]

=>This is good evidence to reject null hypothesis.

=> The actual rate is lower. (As [tex]H_{1}[/tex] states)

Hope this helps!

:)

Answer:

x( x-8)(x+8)

Step-by-step explanation:

x^3 - 64x

Factor out an x

x( x^2 -64)

This is the difference of squares x^2 -8^2 which is a^2 - b^2 = (a-b)(a+b)

x( x-8)(x+8)

Answer:

[tex]x(x - 8)(x + 8)[/tex]

Step-by-step explanation:

[tex] {x}^{3} - 64x \\ x( {x}^{2} - 64) \\ x( {x}^{2} - {8}^{2} ) \\ = x(x - 8)(x + 8)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Each piece has 1/5 of 4 feet of rope.

Step-by-step explanation:

There is 4 feet of rope in total. They are divided into 5 pieces. That means that each piece will have 1/5 of 4 feet of rope.

Answer:

y = - [tex]\frac{4}{5}[/tex] x + [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4

y = [tex]\frac{5}{4}[/tex] x + [tex]\frac{3}{4}[/tex] ← in slope- intercept form

with slope m = [tex]\frac{5}{4}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{5}{4} }[/tex] = - [tex]\frac{4}{5}[/tex] , thus

y = - [tex]\frac{4}{5}[/tex] x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 = - [tex]\frac{12}{5}[/tex] + c ⇒ c = - 2 + [tex]\frac{12}{5}[/tex] = [tex]\frac{2}{5}[/tex]

y = - [tex]\frac{4}{5}[/tex] x + [tex]\frac{2}{5}[/tex] ← equation of perpendicular line

Answer:

Step-by-step explanation:

From the figure attached,

Given: ∠P ≅ ∠S

          TQ ≅ RQ

To Prove : ΔQRS ≅ ΔQTP

        Statements                          Reasons

1).     ∠P ≅ ∠S, TQ ≅ RQ                  Given

2).    ∠RQS ≅ ∠TQP                  Reflexive property

3).     ΔQRS ≅ ΔQTP                           AAS

Answer:

-10 because you lost twice more than you won.

Hope this helps!

Answer:

-9 ≤ y ≤ 5

Step-by-step explanation:

The range is all the values of y. In this case, the values of y are any number in between -9 and 5. So -9 ≤ y ≤ 5.

Answer:

x ≥ 0

Step-by-step explanation:

please see the attached picture

Hope it helps

Good luck on your assignment,

MY KEY BROKE AND ITS NOT UNNY

Answer:

The distance between points P and Q on this campus map of the local college is 13.038 units

Step-by-step explanation:

We are given that Joanne does a daily walk from building P to building Q

[tex]P=(x_1,y_1)=(6,9)\\Q = (x_2,y_2)=(5,-4)[/tex]

We are supposed to find the distance between points P and Q on this campus map of the local college

We will use distance formula :

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute the values in the formula .

[tex]d=\sqrt{(5-6)^2+(-4-9)^2}\\d=13.038[/tex]

Hence the distance between points P and Q on this campus map of the local college is 13.038 units

Answer:

13 feet

Step-by-step explanation:

We use the distance formula:

Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.

Answer:

Step-by-step explanation:

The solution or solutions to a system are where the 2 graphs intersect each other. Our graph goes up by 2 units. The point of intersection on the left is at (-6, 8) and the point of intersection on the right is at (2, 0).

Answer:

[tex]=24a^2[/tex]

Step-by-step explanation:

[tex]4a\cdot \:6a=24a^2\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:6=24\\=24aa\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\aa=\:a^{1+1}\\=24a^{1+1}\\=24a^2[/tex]

Answer:

Simply multiply across.

since they both have the same base(a),add the powers ie.(1+1)=2.

Hence 4a×6a=24a²

Answer:

Your answer is 160

Step-by-step explanation:

Just did this on edg.

The measurement of asked arc is 160°.

An arc is defined as a portion of the boundary of a circle or a curve. It can also be referred to as an open curve. The boundary of a circle is the perimeter or the distance around a circle, also known as the circumference.

Given that. the two tangents intersect at a point outside the with circle center O

The angle formed between the two tangent = 20°

The first arc formed is measured as x°, which is the arc opposite the point where the two tangents meet = The arc the satellite can see (refer to the attached figure)

The angle x is given by the relationship;

x = 2 × (90 - v/2)

Where;

v = The angle formed at the point where the two tangent meet = 20°

Therefore;

x = 2 × (90 - 20/2) =  2 × (90 - 10) =  2 × 80  = 160°

The arc measure, x, that the satellite can see = 160°.

Hence, the measurement of asked arc is 160°.

Learn more about arc, click;

https://brainly.com/question/18741430

#SPJ6

Answer:

1

Step-by-step explanation:

500/500=1

x / x = 1

Answer:

Step-by-step explanation:

This is because when you divide a number with each other then they cancel out to equal 1. This can happen with the letter x. So, x/x = 1.

Going back to the question 500/500 can cancel out to become 1.

Answer:

x=100

Step-by-step explanation:

50/x=10/20 and 10/50=20/x

50/x=10/20

Cross multiplication

50*20=x*10

1000=10x

x=1000/10

x=100

Check:

50/100=

Divide by 5

10/20

10/50=20/x

Cross multiplication

10*x=50*20

10x=1000

x=1000/10

x=100

They are the same because the fraction that has the unknown both have the same ratio

Answer:

The anser is d edge 2020 lol

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Since the  x coordinate is the same, we only have to look at the y coordinate

3 - -3 = 3 +3 = 6

The distance is 6

Answer:

6

Step-by-step explanation:

Notice that x does not change.  We do go from y = -3 to y = 3, so the distance between these two y-values is 3 - (-3) = 6

Answer:

25

Step-by-step explanation:

[tex]f(x)=x^3-2 \\\\f(3)=(3)^3-2= \\\\27-2= \\\\25[/tex]

Hope this helps!

Answer: 25

Explanation: Notice that f is a function of x. So we want to find f(3).

We find f(3) by plugging 3 in for x everywhere

that x appears in the function.

So we have (3)³ - 2.

(3)³ is equal to 3 × 3 × 3 or 27.

So we have 27 - 2 which is 25.

So f(3) is equal to 25.

Answer: [tex]- \frac{62}{5}[/tex]

Convert the decimal number into a fraction

Multiply by 10

[tex](- \frac{12.40}{1} ) (\frac{10}{10})[/tex]

[tex]- \frac{124}{10}[/tex]

Divide the fraction by 2

[tex]- \frac{62}{5}[/tex]

Answer:

7 and -4

Step-by-step explanation:

Coefficients are the number before the variables.  Their job is to multiply the variable by their quantity. 7x and -4x are the two expressions with both a number and a variable.  That makes 7 and -4 the coefficients.

Answer:

Step-by-step explanation:

Answer:

[tex] (2x - 3)(x - 5) \\ [/tex]

Step-by-step explanation:

[tex]2 {x}^{2} - 13x + 15 \\ 2 {x}^{2} - 10x - 3x + 15 \\ 2x(x - 5) - 3(x - 5) \\ (2x - 3)(x - 5)[/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

Answer: 20.058

Step-by-step explanation:

401.16 x 0 05

= 20 058

Answer:

x =1

Step-by-step explanation:

7x + 10= 18x -1 ==> 7x - 18x = -1 -10 ==> -11x = -11 ==>x = 1

7x+10=18x-1

+1. +1

7x+11=18x

-7x. -7x

11=11x

Divide it all by 11

1=x

X=1

Answer:

[tex]\fbox{\begin{minipage}{10em}Option A: Simulation \end{minipage}}[/tex]

Step-by-step explanation:

The data is not collected from the world outside, but a computer.

=> The data can be generated under assumption from simulation only.

=> Option A is correct.

Hope this helps!

:)

Answer:

  a.  Simulation

Step-by-step explanation:

A computer model is generally a simulation of the real world. Certainly, a model of Earth's climate is a simulation.

__

In some cases, the data of interest is the performance of the computer itself (as opposed to some system outside the computer). In those cases, the running of the computer under different scenarios might be considered an experiment.

The right answer is 7/3

please see the attached picture for full solution

hope it helps..

Good luck on your assignment

Answer:

[tex]slope = \frac{7}{3} [/tex]

Step-by-step explanation:

[tex](5 \: \: , \: \: 9) = > (x1 \: \: \:, \: y1) \\ (2 \: \: , \: \: 2) = > (x2 \: \: \:, \: \: y2)[/tex]

[tex] slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{9 - 2}{5 - 2} \\ = \frac{7}{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

3/5

Step-by-step explanation:

The sine of an angle is the length of the opposite side divided by the length of the hypotenuse. In this case, that is 6/10, which can be simplified to 3/5. Hope this helps!

6/10, or 3/5. (sine is opposite/hypotenuse)

Answer:

add

Step-by-step explanation:

Answer:

6 min

Step-by-step explanation:

5 kilometers = 5,000 meters

500/5,000 = 1/10 meaning it would take him 1/10 of an hour or 6 minutes to cover this distance.

[tex]solution \\ b = 5 \\ {4}^{1} . {4}^{b} \\ = {4}^{1} . {4}^{5} \\ = 4 ^{1 + 5} \\ = {4}^{6} \\ = 4 \times 4 \times 4 \times 4 \times 4 \times 4 \\ = 4096 \\ [/tex]

hope it helps...

Good luck on your assignment

Answer:

[tex] = 4096[/tex]

Step-by-step explanation:

Given that,

[tex]b = 5[/tex]

Let's solve now.

[tex] = {4}^{1} \times {4}^{b} \\ = {4}^{1} \times {4}^{5} \\ = {4}^{6} \\ = 4 \times 4 \times 4 \times 4 \times 4 \times 4 \\ = 16 \times 16 \times 16 \\ = 256 \times 16 \\ = 4096[/tex]

Answer:

It means in the same plane