NEED HELP ASAP!! Angles of Elevation and Despression! Need to find x! Round to the nearest tenth!

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:

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.

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:

(-6, 1)

Step-by-step explanation:

Since DE to DF is 5:8, we need to add 5/8 of the difference in x- and y-coordinates to the coordinates of point D to find point E.

Difference in x from D to F:

-9 - (-1) = -8

5/8 * (-8) = -5

Difference in y from D to F:

-5 - 11 = -16

5/8 * (-16) = -10

x: -1 - 5 = -6

y: 11 - 10 = 1

Answer: (-6, 1)

The coordinates are (-6, 1).

When a point divides a line segment externally or internally in some ratio, we use the section formula to find the coordinates of that point. It is a handy tool used to find the coordinates of the point dividing the line segment in some ratio. This section formula can also be used to find the midpoint of a line segment and for the derivation of the midpoint formula as well.

Given:

D(-1,11) and F(-9,-5)

DE : DF is 5:8

So,

DE: EF= 5 : 3

Using section formula

x= 3*(-1) + 5*(-9)/5+3

x= -3 -45 /8

x= -48/8

x= -6

and,

y= 3*11 + 5*(-5) / 8

y= 33-25/8

y= 8/8

y=1

Hence, the coordinates are (-6, 1).

Learn more about section formula here:

https://brainly.com/question/18269861

#SPJ2

Step-by-step explanation:

(A) 1 L = 0.00629 barrel

12 L = 0.0755 barrel

(B) 1 ounce = 0.0296 L

65 ounces = 1.922 L

(C) 1 min = 0.000694 day

75 min = 0.05 day

Answer:

Step-by-step explanation:

Two groups were tested to compare their speed at working math problems.

Aim/Objective of experiment:

To test their speed (each group and then compare) at working math problems

Control Group:

The group of students computing math problems without a calculator

Experimental Group:

The group of students computing math problems with a calculator

Statistical Hypothesis:

Null hypothesis: Both the control and the experimental group worked math problems at the same pace or speed

Alternative hypothesis: The experimental group worked math problems with a greater speed than the control group

This hypothesis is derived from the thought or knowledge that calculators help solve math problems faster. Your hope would be to refute the null hypothesis and accept the alternative hypothesis; after testing.

Answer:

Hey there!

Length: [tex]l\\[/tex]

Width: [tex]1/3l-1[/tex]

Expression to find the area: [tex]l(1/3l-1)[/tex], or [tex]1/3l^2-l[/tex].

Expression to find the perimeter: [tex]2l+2(1/3l-1)[/tex], or [tex]8/3l-1[/tex].

Perimeter divided by area: [tex]\frac{\frac{8}{3}l-1 }{1/3l^2-l}[/tex]

Let me know if this helps :)

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:

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

Step-by-step explanation:

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:

d ≈ 7.280 units

Step-by-step explanation:

(-5, 1) & (2, -1)

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(2 + 5)² + (-1 - 1)²]

d = √[(7²) + (-2²)

d = √(49 + 4)

d ≈ 7.280

Answer:

m<FEH = 15

Step-by-step explanation:

We can find angle G

The three angles of a triangle add to 180

90 + 75+ G = 180

165 + G = 180

G = 180-165

G = 15

Since the triangles are similar, <E = <G

<E = 15

So m<FEH = 15

Answer:

m>FMH

Step-by-step explanation:

Answer:

Graph the parent function f(x)=ln and translate all points 4 to the left and 5 up

Step-by-step explanation:

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:

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:

[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:

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

Hi there! :)

Answer:

[tex]\huge\boxed{y = -1/4, 1/2.}[/tex]

Given the equation:

8y² - 2y - 1 = 0

Find two numbers that multiply into -1 and sum up to -2. Remember, the 8 as the leading coefficient must be taken into account.

After guessing and checking, we get:

(4y + 1) (2y - 1) = 0

Use the Zero-Product Property to solve for y:

4y + 1 =

4y = -1

y = -1/4

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

2y - 1 = 0

2y = 1

y = 1/2

Therefore, solutions to this equation are:

y = -1/4, 1/2.

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:

60km/hr

Step-by-step explanation:

considering it travels for 6 hours

360 divided by 6= 60km/hr

Answer:

a) State the random variable

Random variable : x

which refers to a randomly selected student from the college that is left-handed.

b) state population parameter

population parameter : P

which is the percentage of all students from the college that are left handed

c) state the hypotheses

The hypothesis are;

Null hypothesis                H₀ : p = 0.11

Alternative hypothesis    H₁ : p > 0.11

d) State the Type I error in the context of this problem.

Type - I Error: Rejecting that the % of all the students from the college that are left-handed is 11% when actually the % is really 11%

(Reject H₀ when H₀ is true)

e) State the Type 11 error in the context of this problem

Type-II Error: Failing to Reject that the % of all the students from the college that are left-handed is 11% when the % is really higher than that

(Fail to reject H₀ when H₀ is false)

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.

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:

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

Hello, please consider the following.

[tex]\displaystyle 1+2+3+...+12=\sum_{k=1}^{k=12} {k}=\dfrac{12*13}{2}=6*13=78[/tex]

For the second we will need to put on the same denominator.

[tex]\displaystyle \dfrac{1}{2}+\dfrac{1}{4}+...+\dfrac{1}{14}=\sum_{k=1}^{k=7} {\dfrac{1}{2k}}\\\\=\dfrac{1}{2}\dfrac{420+210+140+105+84+70+60}{5*7*3*2*2}\\\\=\dfrac{1}{2}\dfrac{1089}{420}\\\\=\dfrac{1089}{840}=1.296429...[/tex]

Thank you.

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.

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:

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