In ΔDEF, the measure of ∠F=90°, FD = 33 feet, and DE = 92 feet. Find the measure of ∠D to the nearest tenth of a degree.

Answer:

"The product of two rational numbers is rational."

So, multiplying two rationals is the same as multiplying two such fractions, which will result in another fraction of this same form since integers are closed under multiplication. Thus, multiplying two rational numbers produces another rational number.

Step-by-step explanation:

Answer: Is a rational number.

Step-by-step explanation: Two rational numbers produces another rational number. "The product of two rational numbers is rational." So, multiplying two rationals is the same as multiplying two such fractions, which will result in another fraction of this same form since integers are closed under multiplication.

Solution :

The test is distributed normally with mean of 72.8 and the standard deviation of 7.3

Finding numerical limits for the D grade.

D grade : Scores below the top 80% and above the bottom 10%.

Let the bottom limit for D grade be [tex]$D_1$[/tex] and the top limit for D grade be [tex]$D_2$[/tex].

First find the bottom numerical limit for a D grade is :

[tex]$P(X<D_1)= 0.10$[/tex]

[tex]$P(X\leq D_1)= 0.10$[/tex]

[tex]$P\left(\frac{X-\mu}{\sigma} \leq \frac{D_1-\mu}{\sigma}\right) = 0.10$[/tex]

[tex]$P\left(Z \leq \frac{D_1-72.8}{7.3}\right) = 0.10$[/tex]    ..........(1)

From (1)

[tex]$\frac{D_1 - 72.8}{7.3} = -1.28$[/tex]

[tex]$D_1 = -1.28(7.3)+72.8$[/tex]

      = 63.45

       ≈ 64

Now the top numerical limit for D grade :

[tex]$P(X>D_2)= 0.80$[/tex]

[tex]$1-P(X\leq D_2)= 0.80$[/tex]

[tex]$P(X\leq D_2)= 1-0.80$[/tex]

[tex]$P(X\leq D_2)= 0.20$[/tex]

[tex]$P\left(\frac{X-\mu}{\sigma} \leq \frac{D_2-\mu}{\sigma}\right) = 0.20$[/tex]

[tex]$P\left(Z \leq \frac{D_2-72.8}{7.3}\right) = 0.20$[/tex]    ..........(2)

From (2)

[tex]$\frac{D_2- 72.8}{7.3} = -0.84$[/tex]

[tex]$D_12= -0.84(7.3)+72.8$[/tex]

      = 66.668

       ≈ 67

Therefore, the numerical limit for a D grade is 64 to 67.

Answer:

Its B

Step-by-step explanation: very ez

Answer:

B. All of these statements are true

Step-by-step explanation:

$10 is the smallest amount shown, therefore a is correct.

$25 is the greatest, so c is also correct

and a majority of the tickets start at $15, making d correct

Answer:

Step-by-step explanation:

37 percent

Answer:

Step-by-step explanation:

25% i think

Answer:

12

Step-by-step explanation:

I think u meant the expression is 3t...

If so, then the answer is:

3t = 3*4

= 12

Answer:

x=25 over 3

Step-by-step explanation:

3÷4a-6=1÷4 convert to

3

_x-6= 0.25

4

3x-24=1

3x=24+1

3x=25

divide both sides by 3 and you'll get:

25

----

3

Answer:

Im pretty sure its 3a - 6 = 1  if not try again and its going to be 3a - 24 =24 sorry if its wrong:)

Step-by-step explanation:

I did not mean to put not helpful

Step-by-step explanation:  

1 and 3/4 miles               ???? miles

--------------------  = ---------------------

2 and 1/3 minutes         39 minutes

Cross multiplies:

(1 and 3/4) x 39 =   (2 and 1/3)  x    ?

7/4 x 39/1   = 7/3 x ?

273/4 = 7/3 x ?

? = 273/4 * 3/7 =  39*3/4   <---- 7 x 39 = 273

                        = 117/4

                         = 29 and 1/4

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

1 and 3/4 miles              ?

------------------ = ------------------

2 and 1/3 min             60 min

(1 and 3/4) * 60 = (2 and 1/3) * ?

7/4*60/1 = 7/3 * ?

105 = 7/3 * ?

? = 105*3/7

 = 315/7

 =  45

Answer:

Given that an accounts receivable manager process 200 checks per day with an average processing time of 15 working days, to determine what is the average number of accounts receivable checks being processed in her office, the following calculation must be performed:

200 x 15 = X

3,000 = X

Thus, the average number of accounts receivable checks being processed in her office is 3,000.

In turn, if through information technology she reduces the process time from 15 days to 10 days to 5 days, the advantages and disadvantages of adopting this technology would be less work time and greater processing speed, although in contrast the times of effective work would be saturated.

Answer:

There are infinitely many solutions.

Step-by-step explanation:

3x + 2y = 7

-9x - 6y = -21

Now multiply the first equation by 3

3 × 3x + 2y = 7 ➡ 9x + 6y = 21 Now subtract second equation from first equation

9x + 6y - 9x - 6y = 21 - 21

0 = 0

The equation has infinitely many solutions meaning whatever value you write instead of x and y there will be solution.

Answer:

i believe it is 1,241.2

Step-by-step explanation:

well you use long division.

Answer:

t > 2.5

Step-by-step explanation:

Answer:

Rectangle= Choice four

Square= Choice three

Trapezoid= Choice one

Parallelogram= Choice two

Rhombus= Choice five

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

I think these are the correct answers. Hope this helps!

Answer:

A

Step-by-step explanation:

It says the both dimensions are 30%. So, it we do 31 divided by 6, it would be 5 with a remainder of one, which is also equal to 5.1. If we then multiply it by 4, then divide by 9, that would be .03.

Answer:

I cannot see the question clearly. But I know how to do .

Answer:

2

Step-by-step explanation:

the y values are the same so you just have to subtract the biggest x value from the smallest x value

5-3=2

Answer:

336 of them were teenagers

Answer:

There are 336 teenagers at the concert.

Step-by-step explanation:

You are welcome

Answer:

8

Step-by-step explanation:

45 points for a free movie - 25 points = 20 remaining points needed

20 / 2.5 = 8

She would need 8 visits to earn a free movie ticket.

Answer:

8

Step-by-step explanation:

25+2.5x=45

subtract 25 from each side

2.5x=20

divide both sides by 2.5

x=8

Step-by-step explanation:

you have worked for 10 and a half hours I.e 10½ hours

Step-by-step explanation:

I hope u got ur answer ;)

if u have any more doubt ask me

Answer:

7 milkshakes

Step-by-step explanation:

10% divide 70 = 1%

10 divede 70 is 7

1% is 7

9 times seven is 7 is 63

70-63 is 7

hope it helps

Answer:

336

Step-by-step explanation:

Answer:

2.52

Step-by-step explanation:

On edg

Answer:

750?

Step-by-step explanation:

there is groups of 40 so we take 1000/40 now we have 25 take 25x10 and we will and up with 250 minus 1000 - 250 and we have 750

Solution :

Given the number of the edges are = 11

Therefore we take [tex]$\frac{1}{11}=0.091$[/tex]

And the number of the vials total is = 100

Thus we can multiply = [tex]$100 \times 0.091 = 9.1$[/tex]

From the table provided below, we can obtained :

1. Null hypothesis and alternate hypothesis :

The following null and alternate hypothesis needs to be tested :

[tex]$H_0:p_1=0.091, \ p_2 = 0.091, p_3=0.091, \p_4=0.091, \p_5=0.091, \p_6=0.091, \p_7=0.091,$[/tex] [tex]$p_8=0.091, \ p_9=0.091, \ p_{10}=0.091, \ p_{11}=0.091 $[/tex]

[tex]$H_a :$[/tex] some of the population differ from the values stated in the null hypothesis. It corresponds the Chi-square test that is for the Goodness of the Fit.

2. Rejection region :

It is given --

significance level, α = 0.05

number of degrees of freedom, df = 11 - 1

                                                         = 10

Then the rejection region of this test is :

[tex]$R=\{ x^2:x^2 >18.307\}$[/tex]

3. Test statistics

The Chi-Squared statistics is computed as :

[tex]$x^2=\sum_{i=1}^n \frac{(O_i-E_i)^2}{E_i}$[/tex]

    [tex]$=7.21+4.089+0.133+0.089+1.056+3.825+2.638+0.924+1.671+0.001+0.001$[/tex]

    = 21.638

4. Decision about null hypothesis

Since we see that :    [tex]$x^2=21.638>x^2_c = 18.307$[/tex], we can concluded that we can reject the null hypothesis.

5. Conclusion :

It is concluded that the null hypothesis [tex]$H_0$[/tex] is rejected. So there is enough evidence for us to claim that the population proportions differ from that stated in null hypothesis at α = 0.05 significance level.

Answer: D and E I'm sure

Answer:

112.36 yd^2

Step-by-step explanation:

10.6 * 10.6 = 112.36

Answer: I believe the answer is 51 inches squared

Step-by-step explanation:

The volume of the box will be → 980 square inches.

The volume of cuboid is found using the formula:

Volume = Length × Width × Height

Given is the volume of a box that is 14 inches long, 7 inches wide, and 10 inches high.

The volume of the box will be→

V= L x B x H

V= 14 x 7 x 10

v = 140 x 7

V= 980 square inches

Therefore, the volume of the box will be → 980 square inches

To solve more questions on cuboid, visit the link below-

https://brainly.com/question/23118276

#SPJ2

This article is about equivalency in mathematics. For equivalency in music, see equivalence class (music).

Congruence is an example of an equivalence relation. The leftmost two triangles are congruent, while the third and fourth triangles are not congruent to any other triangle shown here. Thus, the first two triangles are in the same equivalence class, while the third and fourth triangles are each in their own equivalence class.

In mathematics, when the elements of some set S have a notion of equivalence (formalized as an equivalence relation) defined on them, then one may naturally split the set S into equivalence classes.

                              The information is from https://en.wikipedia.org/wiki/Equivalence_class

                         If it is wrong I am sorry

Answer:

The mass of the exotic fruit is 20 grams.

Step-by-step explanation:

For the system to be in equilibrium,

i. the resultant of all masses must be zero

ii. the total mass on the left of the hanger must be equal to that on the right

Thus,

84 g = 42 g + 42 g

mass of each carrot = 12 g

mass of each mushroom = 10 g

mass of each cherry = 2.5 g

mass of each strawberry = 5 g

So that;

On the left of the hanger,

(2 x 5) + (2 x 10) + 12 = 42

10 + 20 + 12 = 42

42 = 42

On the right of the hanger, let the mass of exotic fruit be represented by x.

x + 12 + 5 + (2 x 2.5) = 42

x + 12 + 5 + 5 = 42

x + 22 = 42

x = 20 g

The mass of the exotic fruit is 20 grams.

Answer: Should be 150mm

Step-by-step explanation:

Find the surface area of each figure. Round answers to the nearest tenth, if necessary

2 mm-

2/5 mm

10 mm

3 mm

O

75 mm2

150 mm2

92 mm2

86 mm2