A weatherman stated that the average temperature during July in Chattanooga is 80 degrees or less. A sample of 32 Julys is taken. The correct set of hypotheses is:________. a. H0: μ ≠ 80 Ha: μ = 80b. H0: μ 80 Ha: μ > 80c. H0: μ < 80 Ha: μ > 80d. H0: μ 80 Ha: μ < 80

Answer:

[tex]4y - 7x - 1 = 0[/tex]

[tex]m = \frac{y2 - y1}{x2 - x1?} [/tex]

[tex]m = \frac{ - 5 - 2}{ - 6 - - 2?} [/tex]

[tex]m = \frac{ - 7}{ - 4} [/tex]

[tex]m = \frac{7}{4} [/tex]

[tex]y = m(x - x1) + y1[/tex]

[tex]y = \frac{7}{4} (x + 2) + 2[/tex]

[tex]y = \frac{7}{4} x + \frac{7}{2} + 2[/tex]

[tex]y = \frac{7}{4} x + \frac{11}{2} [/tex]

[tex]4y = 7x + 22[/tex]

[tex]4y - 7x - 22 = 0[/tex]

The equation of the line passing through the point (-2,2) and (-6,-5) is,

y = (-7/4)x +(11/2).

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the equation of a line that contains the points (−2,2) and (−6,−5).

Calculate the slope of the line,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( -5-2) / (-6 + 2 )

Slope= 7 / 4

The y-intercept is calculated as,

y = mx + c

2 = (-7/4) x 2 + c

c = 11 / 2

The equation will be written as,

y = mx + c

y = (7 / 4)x + (11/2)

Therefore, the equation of the line passing through the point (-2,2) and (-6,-5) is,

y = (-7/4)x +(11/2).

To know more about an equation of the line follow

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Answer:

1. k=0

2. yes, result is still a polynomial.

3. yes, f and g must have the same degree to have deg(f+g) < deg(f) or deg(g)

Step-by-step explanation:

1. for what constant k must f(k) always equal the constant term of f(x) for any polynomial f(x)

for k=0 any polynomial f(x) will reduce f(k) to the constant term.

2. If we multiply a polynomial by a constant, is the result a polynomial?

Yes, If we multiply a polynomial by a constant, the result is always a polynomial.

3. if deg(f+g) is less than both deg f and deg g, then must f and g have the same degree?

Yes.  

If

deg(f+g) < deg(f) and

deg(f+g) < deg(g)

then it means that the two leading terms cancel out, which can happen only if f and g have the same degree.

Answer:

H₀ is accepted, we don´t have evidence to claim valves produces more than 4,1 pounds/square inch

Step-by-step explanation:

Normal Distribution

Population mean   μ₀  = 4.1

Population standard deviation  σ = 0,9

Sample size   n  = 260

Sample mean     μ  =  4,2

Level of significance 0,02       α = 0,02 form z-table we find z score

z(c) = 2,05  (critical value)

Test hypothesis      

Null hypothesis                       H₀            μ  =  μ₀

Alternative hypothesis           Hₐ            μ   >  μ₀

Is a one tail-test ( to the right. Values have a mean over the population mean)

z(s) = (  μ  -  μ₀ )/ σ /√n

z(s) =  4,2 - 4,1 / 0,9/√260

z(s) = 0,1 *16,1245 / 0,9

z(s) =  1,7916

To compare  z(s)   and z(c)

z(s) < z(c)

Then  z(s) is in the acceptance region, we accept H₀

Answer:

Winning odd = 3.4

Loosing odd = 4.3.

Step-by-step explanation:

So, from this particular Question or problem we have the following data or information or parameters which is going to aid or help us in solving this particular Question;

=> Given 6 of hearts and the 8 of diamonds.

We know that there are 8 types of cards.

Also, we know that the total number of the cards is equal to fifty-two(52).

From cards of six(6) to ten(10) a bust will surely occur.

Therefore, 8 × 4 / 52= 32/52 = 0.62.

If an ace is pulled, then the chance of winning bis surely 4 out of 52 deck of cards.

Giving you a Winning odd = 3.4 and a

Loosing odd = 4.3.

Answer:

I believe the interquarrile range is 5

Answer:

a dilation by One-fourth and a translation

Step-by-step explanation:

For determining the sequence first we have to find out the scale factor which is shown below:

We can calculate the scale factor to obtain  

[tex]= \frac{1.5}{6} \\\\ = \frac{1}{4}[/tex]

Now as we know that the triangle XYZ and the triangle ABC are similar to each other but in the triangle XYZ is smaller in size and it is a shift to upward and right

Therefore the last option is correct

Answer:

B) Conclusions drawn using inductive reasoning are always valid, while conclusions drawn using deductive reasoning may or may not be valid.

Step-by-step explanation:

Inductive reasoning uses logic and uses more evidence to draw conclusions. In deductive reasoning, WE decide whether a deductive statement is true by assessing the strength of the link between the premises and the conclusion. But some deductive reasoning may appear to make sense without pointing to a truth

Answer:

The answer is D. Conclusions drawn using deductive reasoning are always valid, while conclusions drawn using inductive reasoning may or may not be valid.

Step-by-step explanation:

I took the test

Hello!

Answer:

Choice 1.

Step-by-step explanation:

We can go through each answer choice and examine whether it represents the question:

1) This does not represent the question because 10% of 6 is 0.6. The question is asking to find a number that 6 = 10% of, not finding 10% of 6.

2) Correct because a number multiplied by 10%, or 0.1, should be equal to 6 to answer the question.

3) Correct because 6 is equivalent to 10% of the answer, which is stated in this answer choice.

4) Correct because 6 should be 10% of the answer.

Therefore, the incorrect choice would be Choice 1.

Answer: a. .7

Step-by-step explanation:

Multicollinearity means the two or more explanatory variables in a multiple regression model are highly linearly related to each other.

Multicollinearity is a problem because

Multicollinearity may cause problems if the absolute value of the sample correlation coefficient for two of the independent variables exceeds 0.7.

So, the correct option is a. .7 .

2×y = 2×6= 12 so 2×x = 2×23 = 43 = 113

Step-by-step explanation:

Is this what you are looking for?

=============================================

Work Shown:

x = speed of train A

y = speed of train B

"train A travels 4/5 the speed of train B" (I'm assuming "train one" is supposed to read "train B"). So this means x = (4/5)y

distance = rate*time

d = x*7

d = (4/5)y*7 = (28/5)y represents the distance train A travels

d = y*7 = 7y represents the distance train B travels

summing those distances will give us 693

(28/5)y + 7y = 693

5*(  (28/5)y + 7y ) = 5*693

28y + 35y = 3465

63y = 3465

y = 3465/63

y = 55

Train B's speed is 55 mph

4/5 of that is (4/5)y = (4/5)*55 = 4*11 = 44 mph

Train A's speed is 44 mph

Answer:

2

Step-by-step explanation:

The degree of this polynomial is 2, since a parabola is drawn. A parabola is a graph of a quadratic equation which has the highest degree of 2.

Answer:

Hey there!

Opposite angles in a parallelogram must be congruent, so T=R.

Hope this helps :)

Answer:

∠T ≅ ∠R

Step-by-step explanation:

We know that the angles are equal because they are opposite sides in the parallelogram.

Answer: 3,988.8

Usaremos la fómula: I = C * i * n

I = 72 000 * 0.05 * (1 año + 1 mes + 10 día)

I = 72 000 * 0.05 * (1 + 0.08 + 0.0028)

I = 72 000 * 0.05 * 1.108

3,988.8

Step-by-step explanation:

Podemos obtener el interés que produce un capital con la siguiente fórmula:  

I = C * i * n

Ejemplo: Si queremos calcular el interés simple que produce un capital de 1.000.000 pesos invertido durante 5 años a una tasa del 8% anual. El interés simple se calculará de la siguiente forma:

I = 1.000.000 * 0,08 * 5 = 400.000

Si queremos calcular el mismo interés durante un periodo menor a un año (60 días), se calculará de la siguiente forma:

Periodo: 60 días = 60/360 = 0,16            

I = 1.000.000 * 0,08 * 60/360 =  13.333

Espero te ayude :3

Answer:

A) 22 cans required to paint

B) Including 13% tax, cost of painting = $633.93

Step-by-step explanation:

As we check the figure, we have a composite figure.

Cuboid on the base and a pyramid on the top of it.

To find the area to be painted, we have 4 rectangular faces of cuboid with dimensions 6m [tex]\times[/tex] 3m.

And 4 triangular faces of pyramid with Base = 6m and Height 5m.

So, total area to be painted = 4 rectangular faces + 4 triangular faces

Area of rectangle = Length [tex]\times[/tex] Width = 6 [tex]\times[/tex] 3 = 18 [tex]m^2[/tex]

Area of triangle = [tex]\frac{1}{2}\times Base \times Height =\frac{1}{2}\times 6 \times 5 = 15\ m^{2}[/tex]

Total area to be painted = 4 \times 18 + 4 \times 15 = 72 + 60 = 132 [tex]m^2[/tex]

A) Area painted by 1 can = 6 [tex]m^2[/tex]

Cans required to paint 132 [tex]m^2[/tex] = [tex]\frac{132}{6} = 22\ cans[/tex]

B)

Cost of 1 can = $25.50

Cost of 22 can = $25.50 [tex]\times[/tex] 22 = $561

Including tax of 13% = $561 + $561 [tex]\times \frac{13}{100}[/tex] = $561 + $72.93 = $633.93

So, the answers are:

A) 22 cans required to paint

B) Including 13% tax, cost of painting = $633.93

Answer:

A. $500.00

Step-by-step explanation:

IRS popularly known as  Internal revenue service charges an IRS fee under the authority of the Federal Law and policy agencies. This implementation of IRS fee is to recuperate the cost of rendering a service to the masses.  

From the given information in the question:

Suppose you invest $15,000 at the age of 35 and agree to start receiving  payments at the age of 45.

At age 41, you decide you want to withdraw $5000  from your account.

Since the investor is still 41 years of age ; IRS will charge 10% of the withdrawal amount.

IRS fee = 10% of $5000

IRS fee = 0.1 × $5000

IRS fee = $500

Answer:

see explanation

Step-by-step explanation:

differentiate using the power rule.

[tex]\frac{d}{dx}[/tex]( a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex] , thus

[tex]\frac{d}{dx}[/tex](x² - x + 3 ) = 2x - 1

x = 5 → 2(5) - 1 = 10 - 1 = 9

To find the value of x for minimum , equate [tex]\frac{d}{dx}[/tex] to zero

2x - 1 = 0 , then

2x = 1 and

x = [tex]\frac{1}{2}[/tex]

Answer:

Since it is a right triangle, you can use pythagorean theorem to find the missing side.

Step-by-step explanation:

Answer:

The  confidence interval is  [tex]-11.34 < \mu_1 -\mu_2 < -10.86[/tex]

Step-by-step explanation:

From the question we are told that

    The first sample size is  [tex]n_1 = 146[/tex]

    The second sample size is [tex]n_2 = 180[/tex]

    The first sample mean is [tex]\= x_1 = 51.6[/tex]

    The second  sample  mean is  [tex]\= x_2 = 62.7[/tex]

     The first standard deviation is  [tex]\sigma _1 = 9.42[/tex]

     The second standard deviation is  [tex]\sigma _2 = 14.5[/tex]

Given that the confidence level is  98% then the significance level is mathematically evaluated as

      [tex]\alpha = (100 -98 )\%[/tex]

       [tex]\alpha = 2 \%[/tex]

        [tex]\alpha = 0.02[/tex]

Next we obtain the critical value of  [tex]\frac{\alpha }{2}[/tex] from the z-table , the value is  [tex]Z_{\frac{\alpha }{2} } = 2.33[/tex]

The reason we are obtaining critical value of  

 [tex]\frac{\alpha }{2}[/tex]

instead of  

[tex]\alpha[/tex]

is because  

 [tex]\alpha[/tex]

represents the area under the normal curve where the confidence level interval (

[tex]1-\alpha[/tex]

) did not cover which include both the left and right tail while  

 [tex]\frac{\alpha }{2}[/tex]

is just the area of one tail which what we required to calculate the margin of error

NOTE: We can also obtain the value using critical value calculator (math dot armstrong dot edu)

Generally the margin of error is mathematically represented as

      [tex]E = Z_{\frac{\alpha }{2} } * \sqrt{ \frac{\sigma_1^2}{n_1^2} + \frac{\sigma_2^2}{n_2^2} }[/tex]

substituting values

      [tex]E = 2.33 * \sqrt{ \frac{9.42^2}{146^2} + \frac{14.5^2}{180^2} }[/tex]

substituting values

     [tex]E = 2.33 * \sqrt{ \frac{9.42^2}{146^2} + \frac{14.5^2}{180^2} }[/tex]

     [tex]E = 0.2405[/tex]

The 98% confidence interval is mathematically represented as

      [tex](\= x _ 1 - \= x_2 ) - E < \mu_1 -\mu_2 < (\= x _ 1 - \= x_2 ) + E[/tex]

substituting values

      [tex](51.6 - 62.7) - 0.2405 < \mu_1 -\mu_2 < (51.6 - 62.7) + 0.2405[/tex]

     [tex]-11.34 < \mu_1 -\mu_2 < -10.86[/tex]

Answer:

30

Step-by-step explanation:

We can call the number of boys 4x and girls 6x so we can write:

4x + 6x = 50

10x = 50

x = 5, therefore the number of girls is 6x = 6 * 5 = 30.

Answer:

30

Step-by-step explanation:

In the ratio 4:6, we can think of this like 4 boys and 6 girls out of 10 team members.

We can find how many girls play by multiplying 6 by 5, since 50 divided by 10 is 5.

6(5) = 30, so 30 girls play in the soccer league.

Answer:

Correct option: D

Step-by-step explanation:

In the figure we have a right triangle, that is, one of the angles is a 90° angle. Therefore, we can use the Pythagoras' theorem to find the relation between the sides of the triangle:

[tex]a^2 = b^2 + c^2[/tex]

Where b and c are cathetus of the triangle (sides adjacent to the 90° angle) and a is the hypotenuse (opposite side to the 90° angle).

So in our case, we have that x is the hypotenuse, and 40 and 42 are cathetus, so we have:

[tex]x^2 = 40^2 + 42^2[/tex]

[tex]x^2 = 1600 + 1764[/tex]

[tex]x^2 = 3364[/tex]

[tex]x = 58[/tex]

So the correct option is D.

An exponential has the base at the bottom, or the lower portion. Think of "basement" to help remember this. The exponent is the number up top, so 12 is the exponent.

Answer:

The person above me is correct ( :

Step-by-step explanation:

B

Answer:

Step-by-step explanation:

To get theta, we will apply the formula for calculating the length of an arc as shown;

Length of an arc = theta/360 * 2πr

theta is the central angle (required)

r is the radius of the circle

Given r = 9 inches and length of the arc PQ = 6π in

Substituting this given values into the formula to get the central angle theta;

6π = theta/360 * 2πr

Dividing both sides by 2πr

theta/360 = 6π/2πr

theta/360 = 3/r

theta/360 = 3/9

theta/360 = 1/3

cross multiplying;

3*theta = 360

theta = 360/3

theta = 120°

Since 180° = π rad

120° = x

x = 120π/180

x = 2π/3 rad

Hence the measure of the central angle in radians is 2π/3 rad

Answer:

  (F·G)(2) = 20

Step-by-step explanation:

We assume you want (F·G)(2).

  (F·G)(2) = F(2)·G(2)

  F(2) = 4 . . . . from the ordered pair (2, 4)

  G(2) = 5 . . . .from the ordered pair (2, 5)

So your product is ...

  F(2)·G(2) = 4·5 = 20

  (F·G)(2) = 20

Answer:

-5/3 -2/5

im pretty sure

Answer:

[tex]5^{7[/tex] or 78125

Step-by-step explanation:

5^2 ( 5^3 · 5^2 )

= 5^2 ( 5^5 ) = 5^7

or, 78125

Answer:

see below

Step-by-step explanation:

Company A f(x) = 15(7x)

Company B g(x) = 100x + 5

If Marguerite rents for 2 weeks, it will cost her more if she rents from Company B

A = 105(2) = 210

B = 100(2) + 5 = 205   B costs less  False

f Marguerite rents for 2 weeks, it will cost her less if she rents from Company B

A = 105(2) = 210

B = 100(2) + 5 = 205   B costs less  True

If Marguerite rents for 1 week, it will cost her the same at either company

A = 105(1) = 105

B = 100(1) +5 = 105   True

If Marguerite rents for 1 week, it will cost her more if she rents from Company A  

A = 105(1) = 105

B = 100(1) +5 = 105    False

h(x) = 5x – 5  

h(x) = f(x) – g(x)

      =15(7x) - ( 100x + 5)

      = 105x - 100x -5

      = 5x-5   True

h(x) = 5x + 5  False

Answer:

If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B.

If Marguerite rents for 1 week, it will cost her the same at either company.

h(x) = 5x - 5.

Step-by-step explanation:

Company A: f(x) = 15(7x)

Company B: g(x) = 100x + 5

h(x) = f(x) - g(x)

So, the function h(x) is the difference between Company A's rental and Company B's rental.

h(x) = (15(7x)) - (100x + 5)

= (105x) - (100x + 5)

= 105x - 100x - 5

= 5x - 5

h(x) = 5x - 5.

Let's say that Marguerite rents for 1 week. In Company A, that will cost her 15 * 7 = 105. In Company B, it will cost her 100 + 5 = 105. So, if Marguerite rents for 1 week, it will cost her the same at either company.

Let's say that Marguerite rents for 2 weeks. In Company A, that will cost her 15 * 7 * 2 = 30 * 7 = 210. In Company B, it will cost her 100 * 2 + 5 = 200 + 5 = 205. So, if Marguerite rents for 2 weeks, it will cost her less if she rents from Company B.

Hope this helps!

Answer:

68

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

To solve this problem we use ratio and proportion

For 3 minutes his heart rate was 204 beats

So 1 minute will be

[tex] \frac{204 \: beats}{3} \times 1[/tex]

Hope this helps you

Answer:

1. = 8

2. =40

3. =37

Step-by-step explanation:

1. x = √(17² - 15²) = 8

2. x =√(9² +41²) = 40

3. x =√(12² + 35²) = 37

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