Tell whether the following set is an empty set or not.

A = {A quadrilateral having 3 obtuse angles}

Answer:

5

Step-by-step explanation:

[tex] \because \triangle ACB \cong \triangle DCE... (given) \\

\therefore \angle A \cong \angle D... (c.a.c.t)\\

\therefore m\angle A = m\angle D\\

\therefore 50\degree = 10x\\\\

\therefore x = \frac{50\degree}{10}\\\\

\huge \orange {\boxed {\therefore x = 5\degree}} [/tex]

Answer:

The answer is

Step-by-step explanation:

63, 360 inches = 1 mile

126,720 = 126,720 / 63 , 360 × 1 mile

Which is equal to

2 miles

Hope this helps you

Answer:

210 vegetable in 7 rows

Step-by-step explanation:

first step is to figure out how many vegetable can she grow in one row:

convert feet to inches : 6.25 feet* 12 inches=75 inches

(75/2 1/2)                (2 /12 is 3/2 or  2.5)

(75/2.5)= 30 vegetable in one row

in 7 rows : 30*7=210 vegetable in 7 rows

Multiply both sides of the ODE

[tex]x'+2tx+5t[/tex]

by [tex]e^{t^2}[/tex]:

[tex]e^{t^2}x'+2te^{t^2}x=5te^{t^2}[/tex]

Now the left side can be condensed as the derivative of a product:

[tex]\left(e^{t^2}x\right)'=5te^{t^2}[/tex]

Integrate both sides, then solve for x :

[tex]e^{t^2}x=\dfrac52e^{t^2}+C[/tex]

[tex]\implies x(t)=\dfrac52+Ce^{-t^2}[/tex]

Given that x(0) = 8, we find

[tex]8=\dfrac52+Ce^0\implies C=\dfrac{11}2[/tex]

so that the particular solution to this IVP is

[tex]\boxed{x(t)=\dfrac{5+11e^{-t^2}}2}[/tex]

Answer:

9.110434

Step-by-step explanation:

√83 ≈ 9.110434

Answer:

The results of the hypothesis test suggests that there is no difference in productivity level of two warehouses (East Coast and the Midwest Coast).

p-value = 0.0473

Step-by-step explanation:

To perform this test we first define the null and alternative hypothesis.

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

For this question, we want to test if there is a difference in productivity level of the two warehouses (East Coast and the Midwest Coast).

Hence, the null hypothesis would be that there isn't significant evidence to suggest that there is a difference in productivity level of two warehouses (East Coast and the Midwest Coast). That is, there is no difference in the productivity level of two warehouses (East Coast and the Midwest Coast).

The alternative hypothesis is that there is significant evidence to suggest that there is a difference in productivity level of two warehouses (East Coast and the Midwest Coast).

Mathematically, if the average productivity level of the East Coast group is μ₁, the average productivity level of the Midwest group is μ₂ and the difference in productivity level is μ = μ₂ - μ₁

The null hypothesis is represented as

H₀: μ = 0 or μ₂ = μ₁

The alternative hypothesis is represented as

Hₐ: μ ≠ 0 or μ₂ ≠ μ₁

So, to perform this test, we need to compute the test statistic

Test statistic for 2 sample mean data is given as

Test statistic = (μ₂ - μ₁)/σ

σ = √[(s₂²/n₂) + (s₁²/n₁)]

μ₁ = average productivity level of the East Coast group = 1299 parts shipped

n₁ = sample size of East Coast group surveyed = 35

s₁ = standard deviation of the East Coast group sampled = 350

μ₂ = average productivity level of the Midwest group = 1456 parts shipped

n₂ = sample size of Midwest group surveyed = 35

s₂ = standard deviation of the Midwest group sampled = 297

σ = √[(297²/35) + (350²/35)] = 77.5903160379 = 77.59

We will use the t-distribution as no information on population standard deviation is provided

t = (1456 - 1299) ÷ 77.59

= 2.02

checking the tables for the p-value of this t-statistic

Degree of freedom = df = n₁ + n₂ - 2 = 35 + 35 - 2 = 68

Significance level = 0.01

The hypothesis test uses a two-tailed condition because we're testing in both directions.

p-value (for t = 2.02, at 0.01 significance level, df = 68, with a two tailed condition) = 0.047326

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.01

p-value = 0.047326

0.047326 > 0.01

Hence,

p-value > significance level

This means that we fail to reject the null hypothesis & say that there isn't enough evidence to suggest that there is a difference in productivity level of two warehouses (East Coast and the Midwest Coast).

Hope this Helps!!!

Answer:

Negative Binomial

Step-by-step explanation:

The girl receives only 5% of mail which are addressed to her. Rest of 95% mails belong to other family members.

P (X) = 5%

P (X) = 95 / 5

P (X) = 19

The family receives 19 mails out of which only 5% will address the girl. The all other mails belong to the other family members.

Looks like the limit is

[tex]\displaystyle\lim_{(x,y)\to(0,0)}\frac{x^4-36y^2}{x^2+18y^2}[/tex]

Let [tex]y=x^m[/tex] with [tex]m\ge1[/tex], so the limit is equivalent to

[tex]\displaystyle\lim_{x\to0}\frac{x^4-36x^{2m}}{x^2+18x^{2m}}=\lim_{x\to0}\frac{x^2-36x^{2(m-1)}}{1+18x^{2(m-1)}}=0[/tex]

Now let [tex]x=y^n[/tex] with [tex]n\ge1[/tex], so the limit is

[tex]\displaystyle\lim_{y\to0}\frac{y^{4n}-36y^2}{y^{2n}+18y^2}=\lim_{y\to0}\frac{y^{2(2n-1)}-36}{y^{2(n-1)}+18}=-\dfrac{36}{18}=-2[/tex]

The value of the limit evidently depends on path of approach, so the limit does not exist.

Answer:

w = -7z/2

Step-by-step explanation:

Our goal is to isolate w

1. subtract 3w from both sides to get 2w+9z = 2z

2. Subtract 9z from both sides to get 2w = -7z

3. Divide both sides by 2 to get w = -7z/2

We cannot simplify further, so this is our answer.

Answer:

slope is m=1. y-intercept is -1

Answer:

Slope is 1 and intercept is -1. Slope can be found by taking the rise and run of 2 points on a graph. and intercept is just when x = 0

Answer:

Result = 9b/25 or 36b/100

Step-by-step explanation:

The number is b

step 1

b is decreased by 40%

value of 40% of b = 40/100 *b = 4b/10

New value after this change = b - 40% decreased value of b = b -4b/10

= (10b-4b)/10 = 6b/10

Step 2 The new value obtained is again decreased by 40%

value of 40%  number found in step 1 =  40% of value found in step 1

value of 40%  number found in step 1 =  40/100 * 6b/10 = 24b/100

This value (24b/100) is subtracted from value found in step 1(6b/10) as given that  value obtained is decreased by 40%

new value found after 40% decrease = 6b/10 - 24b/100

new value found after 40% decrease = 60b/100 - 24b/100= 36b/100

new value found after 40% decrease =  36b/100 = 9b/25

Thus, the result of b is decreased by 40% and decreased again by 40% is 9b/25

Answer:

35/42 = b/7    and b= 35/6

Step-by-step explanation:

Our base is unkhown so it will be the variable in our equation :

so b is 35/6 cm

Answer:

x = 4

Step-by-step explanation:

Answer:

20*19*18 = 6840

UNLESS...............  

he is allowed to ride the same ride again , over and over....  

then it is 20 x 20 x 20 = 8000

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

2b+b=3b because2+1 = 3

Answer:

the answer is yes

Step-by-step explanation:

yes it is equivalent expression because 2b+b and 3b have the same value and length or numerator which equals yes.

Answer:The first one

Step-by-step explanation:

V rectangular prism = Area of the base *5

Answer:

(1,1)

Step-by-step explanation:

x=1

y=1

6(1) + 1=7

6+1=7

Answer:

x=1, y=1

Step-by-step explanation:

Answer:

y = 2x + 21

Step-by-step explanation:

Step 1: Write out known variables

y = mx + b

m = 2

y = 2x + b

Step 2: Find b

9 = 2(-6) + b

9 = -12 + b

b = 21

Step 3: Rewrite linear equation

y = 2x + 21

Answer:

[tex]3x - 4y = 17ndx - y = 3 \\ 3x - x - 4y + 44y = 17 - 3 \\ 3x - x = 17 - 3 \\ 2x = 17 - 3 \\ 2x = 14 \\ x = 7 \\ \\ 7 - 4y = 3 \\ - 4y = - 4 \\ y = 1[/tex]

Answer:

x = 7

y = 1

Step-by-step explanation:

3x - 4y = 17

x - 4y = 3

Solve x in the second equation.

x = 3 + 4y

Put x as 3 + 4y in the first equation and solve for y.

3(3 + 4y) - 4y = 17

9 + 12y - 4y = 17

9 + 8y = 17

8y = 17 - 9

8y = 8

y = 8/8

y = 1

Put y as 1 in the second equation and solve for x.

x = 3 + 4(1)

x = 3 + 4

x = 7

Answer:

A

Step-by-step explanation:

6r - 17r = -66

Subtract like terms.

-11r = -66

Divide both sides by -11.

r = -66/-11

r = 6

Answer:

6

Step-by-step explanation:

6r-17r=-66

-11r=-66

r=6

Hey there! :)

Answer:

2nd choice. (x - 2)

Step-by-step explanation:

Given in the question:

(x²-4) ÷ (x + 2) = x-2

This is an example of difference of squares.

We can rearrange the equation by multiplying both sides by (x+2) to become:

(x² - 4) = x - 2 (x + 2)

Therefore, the binomial that must be multiplied by (x+2) is the second choice, x-2.

Answer: B

Step-by-step explanation:

Answer:

double

Step-by-step explanation:

Answer:

7.22?

Step-by-step explanation:

Answer:

99% one-sided lower confidence bound = 26.77

Step-by-step explanation:

We have to calculate a 99% one-sided lower confidence bound for the population variance.

The sample size is n=25.

The degrees of freedom are then:

[tex]df=n-1=25-1=24[/tex]

The critical value of the chi-square for this confidence bound is:

[tex]\chi^2_{0.01, \,24}=42.98[/tex]

Then, the lower confidence bound can be calculated as:

[tex]LB=\dfrac{(n-1)s^2}{\chi^2_{0.01,24}}=\dfrac{24\cdot(6.9)^2}{42.98}=\dfrac{1,142.64}{42.68}=26.77[/tex]

Answer:

860.

Step-by-step explanation:

66 x 10= 660

20 x 10= 200

660+200= 860.

Answer:880

Step-by-step explanation:

[tex]66 x 10=66020 x 10=200200+660=880[/tex]

Answer:

  36°

Step-by-step explanation:

Please refer to the attached figure.

Triangles ANC, AMB, BCN, CBM are all isosceles by virtue of the given congruences. By symmetry, we also claim that ΔABC is isosceles (AB≅AC).

We aren't sure how their internal angles relate, but we can write a couple of equations.

Let x = m∠BAC, y = m∠BCN.

∠NCA = ∠NAC  = ∠MBA = ∠MAB = x

∠BCM = ∠BMC = x +y

∠BMC = ∠MBA +∠MAB = 2x

So, we have ...

  ∠BMC = x +y = 2x   ⇒    y = x

And the sum of angles around ΔABC is ...

  x +(2x) +(2x) = 180°

  x = 180°/5 = 36°

The measure of angle BAC is 36°.

Answer:

3 meters

63 meters

Step-by-step explanation:

In order for his two breaks to occur after even distances, simply divide his total path in three:

[tex]B = \frac{9}{3}\\ B=3\ meters[/tex]

He will reach his first break after 3 meters.

If he can only take 9 pieces at a time the number of trips required is:

[tex]n=\frac{36}{9}\\ n=4[/tex]

Note that he will have to back to the back yard for the first three trips (traveling back the 9 meters path). The total distance traveled is:

[tex]d= 3*(9+9)+9\\d=63\ meters[/tex]

He will travel 63 meters.

Answer:

work is shown and pictured

answer is c

Answer:

the correct answer among the choices is C

Step-by-step explanation:

If [tex]a = 0[/tex], then [tex]y = ax^2+bx+c[/tex] turns into [tex]y = 0x^2+bx+c[/tex]. That [tex]0x^2[/tex] term goes away because it turns into 0, and adding 0 onto anything does not change the expression.

So  [tex]y = 0x^2+bx+c[/tex] turns into [tex]y = bx+c[/tex] which is a linear equation (b is the slope, c is the y intercept). It is no longer a quadratic as quadratic equations always graph out a curved parabola.

As an example, you could graph out [tex]y = 0x^2+3x+4[/tex] and note how it's the exact same as [tex]y = 3x+4[/tex], both of which are straight lines through the two points (0,4) and (1,7).

Answer:

C. 105° = (5x - 70)°

Step-by-step explanation:

Vertically opposite angles are equal in size.

105° = (5x - 70)°

The correct answer is choice C.

Meant to put the letter C