Use technology and a​ t-test to test the claim about the population mean at the given level of significance using the given sample statistics. Assume the population is normally distributed. ​Claim: ​;     Sample​ statistics: ​, s​, n What are the null and alternative​ hypotheses? Choose the correct answer below. A. H0​: HA​: B. H0​: HA​: C. H0​: HA​: D. H0​: HA​:

Answer:

45 degrees

Step-by-step explanation:

We know that angle 4 equals angle 2 because corresponding angles are congruent.

So x+30 = 2x+15,

We subtract 15 from both sides,

x + 30 - 15 = 2x + 15 - 15

x + 15 = 2x

Now we subtract x from both sides,

x - x + 15 = 2x - x

15 = x

x = 15 degrees

So we plug this in angle 4,

15 + 30 = 45 degrees

Answer:

311 days

Step-by-step explanation:

I(t) = 1.5 cos(2π/365 t) + 4.3

5.2 = 1.5 cos(2π/365 t) + 4.3

0.9 = 1.5 cos(2π/365 t)

0.6 = cos(2π/365 t)

2π/365 t = cos⁻¹(0.6)

2π/365 t = 0.927, 5.356

t ≈ 54, 311

Answer:

First time is 54

Second time is 311

Step-by-step explanation:

You plug in the numbers to get the answer.

cos⁻¹(0.6) = 2π/365t

0.927, 5.356 = 2π/365t

t = 54 or 311

Answer:

[tex]\angle B_{1} \approx 31.668^{\circ}[/tex], [tex]\angle B_{2} \approx 148.332^{\circ}[/tex]

[tex]\angle C_{1} \approx 127.332^{\circ}[/tex], [tex]\angle C_{2} \approx 10.668^{\circ}[/tex]

[tex]c_{1} \approx 157.532[/tex], [tex]c_{2}\approx 36.676[/tex]

Step-by-step explanation:

The Law of Sines states that:

[tex]\frac{a}{\sin A} = \frac{b}{\sin B}=\frac{c}{\sin C}[/tex]

Where:

[tex]a[/tex], [tex]b[/tex], [tex]c[/tex] - Side lengths, dimensionless.

[tex]A[/tex], [tex]B[/tex], [tex]C[/tex] - Angles opposite to respective sides, dimensionless.

Given that [tex]a = 71[/tex], [tex]b = 104[/tex], [tex]\angle A = 21^{\circ}[/tex], the sine of angle B is:

[tex]\sin B = \frac{b}{a}\cdot \sin A[/tex]

[tex]\sin B = \frac{104}{71}\cdot \sin 21^{\circ}[/tex]

[tex]\sin B = 0.525[/tex]

Sine is positive between 0º and 180º, so there are two possible solutions:

[tex]\angle B_{1} \approx 31.668^{\circ}[/tex]

[tex]\angle B_{2} \approx 148.332^{\circ}[/tex]

The remaining angle is obtained from the principle that sum of internal triangles equals to 180 degrees: ([tex]\angle A = 21^{\circ}[/tex], [tex]\angle B_{1} \approx 31.668^{\circ}[/tex], [tex]\angle B_{2} \approx 148.332^{\circ}[/tex])

[tex]\angle C_{1} = 180^{\circ}-\angle A - \angle B_{1}[/tex]

[tex]\angle C_{1} = 180^{\circ}-21^{\circ}-31.668^{\circ}[/tex]

[tex]\angle C_{1} \approx 127.332^{\circ}[/tex]

[tex]\angle C_{2} = 180^{\circ}-\angle A - \angle B_{2}[/tex]

[tex]\angle C_{2} = 180^{\circ}-21^{\circ}-148.332^{\circ}[/tex]

[tex]\angle C_{2} \approx 10.668^{\circ}[/tex]

Lastly, the remaining side of the triangle is found by means of the Law of Sine: ([tex]a = 71[/tex], [tex]\angle A = 21^{\circ}[/tex], [tex]\angle C_{1} \approx 127.332^{\circ}[/tex], [tex]\angle C_{2} \approx 10.668^{\circ}[/tex])

[tex]c_{1} = a\cdot \left(\frac{\sin C_{1}}{\sin A} \right)[/tex]

[tex]c_{1} = 71\cdot \left(\frac{\sin 127.332^{\circ}}{\sin 21^{\circ}} \right)[/tex]

[tex]c_{1} \approx 157.532[/tex]

[tex]c_{2} = a\cdot \left(\frac{\sin C_{2}}{\sin A} \right)[/tex]

[tex]c_{2}= 71\cdot \left(\frac{\sin 10.668^{\circ}}{\sin 21^{\circ}} \right)[/tex]

[tex]c_{2}\approx 36.676[/tex]

The answer are presented below:

[tex]\angle B_{1} \approx 31.668^{\circ}[/tex], [tex]\angle B_{2} \approx 148.332^{\circ}[/tex]

[tex]\angle C_{1} \approx 127.332^{\circ}[/tex], [tex]\angle C_{2} \approx 10.668^{\circ}[/tex]

[tex]c_{1} \approx 157.532[/tex], [tex]c_{2}\approx 36.676[/tex]

Answer:

For 2x + 5y < 100, x + y < 30. Vertices : (50,0) , (0,20) , (35,0) , (0,35) , (25,0)  

Step-by-step explanation:

Considering inequality equations

i) 2x + 5y < 100 ;

ii) x + y < 35

Concerting them to equality conditions

i) 2x + 5y =100.

Intercepts : If y = 0, x = 50. So, (50,0). If x = 0, y = 20. So, (0,20)

ii) x + y = 35. Intercepts :

Intercepts : If y = 0, x = 35. So, (35,0). If x = 0, y = 35 So, (0,35)

From ii), x = 35 - y . Putting the value in i)

2 (35 - y) + 5y = 100 → 70 - 2y + 5y = 100 →  70 + 3y = 100

3y = 100 - 70 →  3y = 30 → y = 30 / 3 = 10

Putting y = 10 in ii) : x = 35 - 10 = 25

Henceworth, vertices are : (50,0) , (0,20) , (35,0) , (0,35)  & intersection (25,0)

Answer:

Correct answers for edmentum & plato:

Step-by-step explanation:

Remember:

x+y+z=60

x=5

y=30

z=15

1:

x=5y=30

5+30+z=60

35+z=60

-35+z=60(-25)

z=25

(5,30,25)

2:

x=5z=15

5+y+15=60

20+y=60

-20+y=60-(20)

y=40

(5,40,15)

3:

y=30z=15 

x+30+15=60

x+45=60

x+-45=60-(45)

x=15

(15,30,15)

4:

(5,30,15)

5+30+15=60

50=60

-50=60-(50)

10 

(5,30,15) Doesn't work

Answer:

work is shown and pictured

Answer:

x = 8.3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos 44 = 6/x

x cos 44 / 6

x = 6/ cos 44

x=8.340981546

x = 8.3

Answer:

60km/hr

Step-by-step explanation:

considering it travels for 6 hours

360 divided by 6= 60km/hr

Answer:

9. 6, 2, -2,-6,-10,-14

Step-by-step explanation:

Answer:

3rd Option

Step-by-step explanation:

Order of Operations: BPEMDAS

When you are multiplying radicals, you multiply the innards while keeping the square root.

Step 1: Write expression

√5(6 - 4√3)

Step 2: Distribute

6(√5) - 4√3(√5)

Step 3: Simplify/Multiply

6√5 - 4√15

Answer:

L(min) = 560 m

Step-by-step explanation:

Dimensions of rectangular area are:  "x" and  "y"

Then x*y = 9800 m²

If this area have to be divided into three parallel pens total length of fencing material would be:

L = 2*x + 4*y

And L as a function of x is

x*y = 9800        ⇒      y = 9800/x

L(x) = 2*x  + 4 * 9800/x         ⇒   L(x) = 2*x  + 39200/x

Taking derivatives on both sides of the equation we get

L´(x) =  2  - 39200/x²

L´(x) = 0     ⇒      2 - 39200/x²   =  0

2*x²  - 39200 = 0

x² = 39200 / 2       ⇒     x²  =  19600

x = 140 m

And   y = 39200/ 140

y  =  70 m

Then minimum length of fence is:

L(min) = 2*140 + 4*70

L(min) = 280  +  280

L(min) = 560 m

Checking in the second derivative:

L´´(x)  =  2*39200/x³    > 0  then we get a minimum of the function L  at the point  x = 140

Answer: 16.2

Step-by-step explanation:

8.6 + 2.2 = 10.8

10.8 x 1.2 = 16.2

Answer:

16.2

Step-by-step explanation:

Answer:

(a) the critical value of t at P = 10% and 16 degrees of freedom is 1.337.

(b) the critical value of t at P = 10% and 11 degrees of freedom is 1.363.

(c) the critical value of t at P = 1% and 23 degrees of freedom is 2.500.

(d) the critical value of t at P = 10% and 22 degrees of freedom is 1.321.

(e) the critical value of t at P = 20% and 12 degrees of freedom is 0.8726.

(f) the critical value of t at P = 5% and 8 degrees of freedom is 1.860.

Step-by-step explanation:

We have to find the critical t value for each of the following confidence levels and sample sizes given below.

As we know that in the t table there are two columns. The horizontal column is represented by the symbol P which represents the level of significance and the vertical column is represented by the symbol '[tex]\nu[/tex]' which represents the degrees of freedom.

(a) So, here the level of significance = 1 - confidence level

                                                            = 1 - 0.90 = 0.10

And the degrees of freedom = n - 1

                                                = 17 - 1 = 16

Now, in the t table, the critical value of t at P = 10% and 16 degrees of freedom is 1.337.

(b) So, here the level of significance = 1 - confidence level

                                                            = 1 - 0.90 = 0.10

And the degrees of freedom = n - 1

                                                = 12 - 1 = 11

Now, in the t table, the critical value of t at P = 10% and 11 degrees of freedom is 1.363.

(c) So, here the level of significance = 1 - confidence level

                                                            = 1 - 0.99 = 0.01

And the degrees of freedom = n - 1

                                                = 24 - 1 = 23

Now, in the t table, the critical value of t at P = 1% and 23 degrees of freedom is 2.500.

(d) So, here the level of significance = 1 - confidence level

                                                            = 1 - 0.90 = 0.10

And the degrees of freedom = n - 1

                                                = 23 - 1 = 22

Now, in the t table, the critical value of t at P = 10% and 22 degrees of freedom is 1.321.

(e) So, here the level of significance = 1 - confidence level

                                                            = 1 - 0.80 = 0.20

And the degrees of freedom = n - 1

                                                = 13 - 1 = 12

Now, in the t table, the critical value of t at P = 20% and 12 degrees of freedom is 0.8726.

(f) So, here the level of significance = 1 - confidence level

                                                            = 1 - 0.95 = 0.05

And the degrees of freedom = n - 1

                                                = 9 - 1 = 8

Now, in the t table, the critical value of t at P = 5% and 8 degrees of freedom is 1.860.

Answer:

[tex] \boxed{ \boxed{ \boxed{ \bold{ \sf{e = 2}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ \frac{e}{2} + 7 = 4e}[/tex]

Take L.C.M of 2 and 1

⇒[tex] \sf{ \frac{e + 7 \times 2}{2} = 4e}[/tex]

Multiply the numbers

⇒[tex] \sf{ \frac{e + 14}{2} = 4e}[/tex]

Apply cross product property

⇒[tex] \sf{e + 14 = 8e}[/tex]

Move variable to left hand side and change it's sign

Similarly, move constant to right hand side and change it's sign

⇒[tex] \sf{ e - 8e = - 14}[/tex]

Collect like terms

⇒[tex] \sf{ - 7e = - 14}[/tex]

Change the signs of both sides of the equation

⇒[tex] \sf{7e = 14}[/tex]

Divide both sides of the equation by 7

⇒[tex] \sf{ \frac{7e}{7} = \frac{14}{7} }[/tex]

Calculate

⇒[tex] \sf{e = 2}[/tex]

--------------------------------------------------------

How can we find the L.CM?

The steps for finding L.C.M of the numbers are mentioned below:

Step 1 : First of all find the prime factors of each numbers.

Step 2: Take out the common prime factors. Step 3 : Also take out the other remaining prime factors.

Step 4 : Multiply those all prime factors and obtain L.C.M . If there is not any common prime factors then their L.C.M is the product of the given numbers.

--------------------------------------------------------

In our case , we are going to find out the LCM of 2 and 1.

First, Find all prime factors of 2 and 1

2 = 1 × 2

1 = 1 × 1

Common prime factor = 1

Remaining prime factors = 2 and 1

Multiply them : 1 × 2 × 1 = 2

Hope I helped!

Best regards!!

Answer:

e = 2

Step-by-step explanation:

e/2 + 7 = 4e

e/2= 4e - 7

e = 2(4e-7)

e = 2*4e + 2*-7

e = 8e - 14

14 = 8e - e

14 = 7e

e = 14/7

e = 2

probe:

2/2 + 7 = 4*2

1 + 7 = 8

Answer:

3/6^2

Step-by-step explanation:

First option

Answer:

NO, it's 6 to 1

Step-by-step explanation:

30/5=6

5/5=1

6:1

Answer:

No because 30:5=6:1 when u expressed, but for 5:1 it could be any number like 30:6 or whatsoever

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

f(x) = 4x - 3

To find f( - 5) substitute the value of x that's - 5 and solve for f(-5)

That's

We have the final answer as

Hope this helps you

Answer:

H

Step-by-step explanation:

Becuase if you convert all into decimals you will see.

Answer:

Step-by-step explanation:

f(x) = 2x + 2

g(x) = x² - 1

To find (f - g)(x) subtract g(x) from f(x)

That's

(f - g)(x) = 2x + 2 - [ x² - 1]

(f - g)(x) = 2x + 2 - x² + 1

Group like terms

That's

(f - g)(x) = - x² + 2x + 2 + 1

We have the final answer as

Hope this helps you

Answer:

-x2+2x+3

Step-by-step explanation:

(2x+2)- (x2-1)

2x+2-x2+1

-x2+2x+3

Answer:

n = 12

Step-by-step explanation:

27 = 15 + n

27 - 15 = n

12 = n

Answer:

n= 12

Step-by-step explanation:

27=15+n

15+n=27

n=27-15

n=12

Answer: 8008

Step-by-step explanation:

Total entrees = 16

Number of entrees to choose = 6

Since order does not matter , so we combinations .

Number of combinations to choose r things out of n = [tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]

Then, total ways to choose 6 entrees = [tex]C(16,6)=\dfrac{16!}{6!10!}[/tex]

[tex]=\dfrac{16\times15\times14\times13\times12\times11\times10!}{(720)10!}\\\\= 8008[/tex]

Hence, the required number of ways= 8008

Answer:

It is not a function.

Step-by-step explanation:

If the x input or the y output in the given equation have no meaning or does not have any sense, then it will not form a function. We need to see if there are two of the x - intercept which are same. Then the graph will be a straight vertical line. Also the slope of the function cannot be determined.

Complete Question

The complete question is shown on the first uploaded image

Answer:

      [tex]Exp \  Date  :  1/17/17[/tex]

      [tex]Exp \  Time :  4:00 \  am[/tex]

       [tex]Prep \  Date  :  12/3/2016[/tex]

       [tex]Prep \  Time  :  \  4:00 \  am[/tex]

Step-by-step explanation:

From the question we told that

  The date Margie received her store order is  [tex]D_O = 12/3/16[/tex]

   The time   Margie  received her store order is  [tex]T_o = 4am[/tex]

   The  Date which Margie opened the order is  [tex]Da = 12/7 /16[/tex]

    The  time which Margie opened the order is  [tex]T_a = 12 \ pm[/tex]

   The expatriation date on the BIB is [tex]D_e = 1/17 /17[/tex]

Generally from the question we can deduce that the

      [tex]Exp \  Date  :  1/17/17[/tex]

      [tex]Exp \  Time :  4:00 \  am[/tex]

       [tex]Prep \  Date  :  12/3/2016[/tex]

       [tex]Prep \  Time  :  \  4:00 \  am[/tex]

Answer: dont put the time just put in the dates The exp and prep which is the day she received that's all u need to do.

Step-by-step explanation:

Answer:

C. Punchbuggies, Ace Motors, MegaMart, Vision Cell, Urban

Step-by-step explanation:

Rewrite the given amount of profits in the number form as follows:

MegaMart: 1.7*10⁹ = 1.7*1,000,000,000 = 1,700,000,000

Vision Cell: 9*10⁸ = 9*100,000,000 = 900,000,000

Ace Motors: 6.2*10⁹ = 6.2*1,000,000,000 = 6,200,000,000

Urban: 4*10⁵ = 4*100,000 = 400,000

Punchbuggies: [tex] 2.7*10^{10} [/tex] = 2.7*10,000,000,000 = 27,000,000,000

Now we can easily order the profits of the companies from greatest to least amount:

Punchbuggies: 27,000,000,000

Ace Motors: 6,200,000,000

MegaMart: 1,700,000,000

Vision Cell: 900,000,000

Urban: 400,000

The answer is C. Punchbuggies, Ace Motors, MegaMart, Vision Cell, Urban.

Answer:

C

Step-by-step explanation:

Answer:

-14 or 10.

Step-by-step explanation:

It is given that, on a number line, suppose point E coordinate of -2, and EG=12.

We need to find the possible coordinates of point G.

Since EG=12 it means point distance between point E and G is 12 units, therefore point G must be on 12 units left or write from point E.

If point G is 12 units left of E, then

G=-2-12=-14  

If point G is 12 units right of E, then

G=-2+12=10  

Therefore, the possible coordinates of point G are -14 or 10.

Answer:

first statement

Step-by-step explanation:

The second, third and fourth statements are false because for any number, the number itself is also a factor. Therefore, the answer is the first statement.

the surface area of the above triangular prism is 156 square inches.

Step-by-step explanation:

multiply the sum of the triangle sides by the height of the prism and add the values together for the answer, remembering to include the correct unit of measurement.

Answer:

The probability that exactly five of the seven have straight stitching is very low only 13.47%, this means that the company should stop the production line.

Step-by-step explanation:

We are given that Seven baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 89.4% of all their baseballs have straight stitching.

Let X = Number of baseballs having straight stitching

The above situation can be represented through the binomial distribution;

[tex]P(X = r) = \binom{n}{r} \times p^{r}\times (1-p)^{n-r};x=0,1,2,3,.......[/tex]

where, n = number of samples (trials) taken = 7 baseballs

            r = number of success = exactly 5

            p = probbaility of success which in our question is the probability

                   that baseballs have straight stitching, i.e.; p = 89.4%

So, X ~ Binom(n = 7, p = 0.894)

Now, the probability that exactly five of the seven have straight stitching is given by = P(X = 5)

            P(X = 5) =  [tex]\binom{7}{5} \times 0.894^{5}\times (1-0.894)^{7-5}[/tex]

                          =  [tex]21 \times 0.894^{5}\times 0.106^{2}[/tex]

                          =  0.1347 or 13.47%

Since the probability that exactly five of the seven have straight stitching is very low only 13.47%, this means that company should stop the production line.

Answer:

  $1250

Step-by-step explanation:

The loan can be made for up to ...

  0.80 × $72,250 = $57,800

For a selling price of $73,500, the amount not funded by the loan will be ...

  $73,500 -57,800 = $15,700

This is more than the buyer has saved by ...

  $15,700 -14,450 = $1,250

The buyer will need $1250 in additional funds.

Answer:

Angle NKO and Angle OKL are adjacent and complementary

Step-by-step explanation:

Adjacent - yes - they have the common vertex K and the common side KO.

Vertical - no - vertical angles are created by two intersecting lines, and angles NKO and OKL are not.

Complementary - yes - since it's given to us that JL and MN are perpendicular, that means that they intersect at 90 degree angles. This means that angles NKO and OKL add up to 90 degrees, and because complementary angles are angles that add up to 90 degrees, NKO and OKL are complementary.

Supplementary - no - supplementary angles are angles that add up to 180 degrees, and since NKO and OKL add up to 90 degrees, they can't be supplementary.

Linear Pair - no - a linear pair is a pair of angles that are adjacent and supplementary. Angles NKO and OKL are adjacent, but since they're not supplementary they can't be a linear pair.