Given: WXYZ is a parallelogram.
ZX WY
Prove: WXYZ is a rectangle

Answer:

a.

Probability of Diet Cola = 19/28

Probability of Lemonade = 4/28

Probability of Root Beer = 5/28

b. Theoretical Probability

Step-by-step explanation:

Given

Diet Cola = 19

Lemonade = 4

Root Beer = 5

Required

Probability the her next drink will be

- Diet Cola

- Lemonade

- Root beer

To calculate the probability of each of the above, first we need to calculate the total number of drinks she's had

Total = Diet Cola + Lemonade + Root Beer

Total = 19 + 4 + 5

Total = 28

The probability that her next drink can be any of the above can then be calculated.

This is calculated by dividing each outcome by the total; as follows;

Probability of Diet Cola = 19/28

Probability of Lemonade = 4/28

Probability of Root Beer = 5/28

This type of probability is referred to as theoretical probability because it makes predictions base on previous occurrence of events.

Answer:

The answer is 154 ft.

Step-by-step explanation:

You would take the total height (305) and subtract is by the actual statue(151) to get your answer.

305-151=154

Answer:

154

Step-by-step explanation:

Answer:

Annual net salary = $22,584

Step-by-step explanation:

Given:

Monthly wage = $2,350

Withheld paycheck = $468

Find:

Annual net salary = ?

Computation:

Total net salary = Monthly wage - Withheld paycheck

Total net salary = $2,350 - $468

Total net salary = $1,882

Annual net salary = Total net salary × 12

Annual net salary = $1,882 × 12

Annual net salary = $22,584

The scale for the second values is 56/8 = 7

C = 3 x 7 = 21

C= 21

Answer:

c.

Step-by-step explanation:

Answer:

state A = 32 votes, state B = 53 votes

Step-by-step explanation:

Let the number of electoral votes for state A be a and state B be b

a  = b - 21

a + b = 85

Substituting a for b - 21 in the second equation

2b - 21 = 85

2b = 106

b = 53

Plugging b back in

85 - 53 = 32

Answer:

2.54 miles/hr

2.04 miles/hr

Step-by-step explanation:

Given: Distance between the two towns = 1100 miles

Difference between speeds = [tex]\frac{1}{2}[/tex] miles/hr

Total time when they meet = 240 hours

To find:

Let distance traveled by first group = [tex]x[/tex] miles.

Now, the distance traveled by second group = (1100-[tex]x[/tex]) miles/hr

The relation between Speed, Time and Distance is given as:

[tex]\text{Speed =} \dfrac{\text{Distance}}{\text{Time}}[/tex]

Let speed of first group = [tex]S_1[/tex]

[tex]S_1 = \dfrac{x}{240}[/tex]

Let speed of second group = [tex]S_2[/tex]

[tex]S_2 = \dfrac{1100-x}{240}[/tex]

As per question, [tex]S_1[/tex] = [tex]S_2[/tex] + [tex]\frac{1}{2}[/tex]

[tex]\dfrac{x}{240} = \dfrac{1100-x}{240} + \dfrac{1}{2}\\\Rightarrow \dfrac{x}{240} - \dfrac{1100-x}{240} = \dfrac{1}{2}\\\Rightarrow \dfrac{x-1100+x}{240} = \dfrac{1}{2}\\\Rightarrow 2x - 1100 = 120\\\Rightarrow 2x = 1220\\\Rightarrow x = 610 ft[/tex]

Now,

[tex]S_1 = \dfrac{x}{240}[/tex]

Putting value of [tex]x[/tex]:

[tex]S_1 = \dfrac{610}{240}\\\Rightarrow S_1 = 2.54\ miles/hr[/tex]

Similarly, putting value of [tex]x[/tex] in [tex]S_2[/tex]:

[tex]S_2 = \dfrac{1100-610}{240}\\\Rightarrow S_2=\dfrac{490}{240}\\\Rightarrow S_2 = 2.04\ miles/hr[/tex]

Answer:

A) Silvie is incorrect; the sum of a rational number and an irrational number is always irrational

Step-by-step explanation:

The concept of adding rational and irrational numbers states that the result will always be irrational.

Take for instance the addition of 4.5 and 3.142857

4.5 is a rational number because it can easily be expressed in fractions while 3.142857 is irrational because it can't be expressed as a simple fraction.

The addition of these two numbers gives 7.642857

7.642857 is an irrational number.

Similarly, any sum of two numbers (rational and irrational) will always result in irrational number.

Hence, Silvie is incorrect.

Answer:

A.

Step-by-step explanation:

Silvie is incorrect; the sum of a rational number and an irrational number is always irrational

Answer:

[tex]h \leq 5[/tex]

Step-by-step explanation:

Time already spent on the train is at least 5 hours

Since the trip to Fairbanks take 10 hours, we have that, the sum of the number of hours left, h and the time already spent will be equal to 10.

[tex]t+h=10\\$Since the time for which the passenger has been on the train \geq 5\\5+h \leq 10\\h \leq 10-5\\$The inequality that describes in how many more hours, h the train will reach Fairbanks, therefore, is:\\h \leq 5[/tex]

Answer:

35

Step-by-step explanation:

30+20=50

50-15=35

(Brainliest helps)

Answer:

Answer on imagine math ;)

Answer:

B and C.

Step-by-step explanation:

just divide going all the way down starting from the number 4th spot. and if you get the same number each time, its exponential

Answer:

(a)(B)Yes. This is a legitimate finite probability model because each probability is between 0 and 1 , and all sum to 1 .

(b)P(20‑ to 24‑year‑old who is married)=0.027

(c)P(20–24 year old)=0.26

(d)P(married)=0.398

Step-by-step explanation:

Given the probability model below:

[tex]\left\begin{array}{|c|c|c|c|c|}$Age in years& 20 - 24& 25 - 29& 30 - 34& 35 - 39\\$Never married& 0.227& 0.156& 0.089& 0.054\\ $Married &0.027& 0.086& 0.137& 0.148\\$Widowed/divorced/separated &0.006 &0.015& 0.022& 0.033\end{array}\right\\[/tex]

(a)

0.526+0.398+0.076=1

Therefore this is a legitimate finite probability model because each probability is between 0 and 1 , and all sum to 1 .

(b) The probability that the person chosen is a 20‑24-year‑old who is married

P(20‑ to 24‑year‑old who is married)=0.027

(c)Probability that the person chosen is 20 – 24 years old

P(20–24 year old)=0.227+0.027+0.006=0.26

(d)Probability that the person chosen is married

Answer:

Hope this is correct

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean compression strength from the extra carbonation of strawberry drink and μ2 be the mean compression strength from the extra carbonation of cola.

The random variable is μ1 - μ2 = difference in the mean compression strength from the extra carbonation of strawberry drink and the mean compression strength from the extra carbonation of cola.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

This is a left tailed test.

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

x1 = 530

x2 = 553

s1 = 23

s2 = 16

n1 = 10

n2 = 10

t = (530 - 533)/√(23²/10 + 16²/10)

t = - 2.6

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [23²/10 + 16²/10]²/[(1/10 - 1)(23²/10)² + (1/10 - 1)(16²/10)²] = 6162.25/383.752

df = 16

We would determine the probability value from the t test calculator. It becomes

p value = 0.0097

Since alpha, 0.05 > than the p value, 0.0097, then we would reject the null hypothesis. Therefore, at 5% significance level, the data suggests that the extra carbonation of cola results in a higher average compression strength.

Answer:

166.67 in³

Step-by-step explanation:

If the top of the pyramid is at half of the height of 10 cm tall cube, the height of the pyramid (h) is 5 inches.

Assuming that the base of the pyramid is the same as the base of the cube, the volume of the square pyramid is given by:

[tex]V=\frac{1}{3}*B*h[/tex]

Where B is the area of the square base:

[tex]V=\frac{1}{3}*(10*10)*5\\ V=166.67\ in^3[/tex]

The volume of the square pyramid inside the cube is 166.67 in³.

Answer:

Range = {5, 8, 11}

Step-by-step explanation:

On the function f(x) = 3x + 2

For the first domain, when x = 1, f(x) = 3(1) + 2 = 3 + 2 = 5

For the second, when x = 2, f(x) = 3(2) + 2 = 6 + 2 = 8

For the third domain, when x = 3, f(x) = 3(3) + 2 = 9 + 2 = 11

Answer:

B =33.69

Step-by-step explanation:

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

tan B = opposite side/ adj side

tan B = 6/9

Take the inverse tan of each side

tan ^ -1 tan B = tan ^-1 (6/9)

B =33.69006753

To the nearest hundredth

B =33.69

Answer:

33.69°

Step-by-step explanation:

From Trigonometry identity;

Tan<B = 6/9 = 2/3 [opposite/adjacent]

B = Tan^{-1} 2/3

=33.69°

Answer:

[tex]k=\frac{-cp+4r}{p}[/tex]

Step-by-step explanation:

[tex]r=p/4(c+k)[/tex]

[tex]\frac{r}{p/4} =c+k[/tex]

[tex]\frac{r}{p/4} -c=k[/tex]

[tex]-cp+4r=kp[/tex]

[tex]\frac{-cp+4r}{p} =k[/tex]

The right answer is of option C

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

[tex] = 2 {x}^{3} - 11 {x}^{2} + 16x - 3 \\ [/tex]

Step-by-step explanation:

[tex](x - 3)(2 {x}^{2} - 5x + 1) \\ x(2 {x}^{2} - 5x + 1) - 3(2 {x}^{2} - 5x + 1) \\ 2 {x}^{3} - 5 {x}^{2} + x - 6 {x}^{2} + 15x - 3 \\ = 2 {x}^{3} - 11 {x}^{2} + 16x - 3[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

x=4

Step-by-step explanation:

think of the equation like this: you have to do the inverse(opposite) operations so for adding you would subtract it. So for the adding 3 you would subtract it from both sides of the equation and get X=4

Answer:

The ratio of the government's expenses to it's receipts for 2013 is 1.3333333 trillion

Step-by-step explanation:

According to the given data we have the following:

Receipt=$2.1 trillion

Expenses=$2.8 trillion

Hence, it represent a decifit of $2.8 trillion-$2.1 trillion=$0.7 trillion

Therefore, to calculate the the ratio of the government's expenses to it's receipts for 2013 we would have to use the following formula:

ratio of the government's expenses to it's receipts=$2.8 trillion/$2.1 trillion

ratio of the government's expenses to it's receipts=1.3333333 trillion

The ratio of the government's expenses to it's receipts for 2013 is 1.3333333 trillion

Answer:

2.96 seconds

Step-by-step explanation:

Let H(x) = zero and solve for "x".

43 - 4.9x² = 0

4.9x²=43

x²=8.77

x=2.96

therefore, approximately when x=2.96seconds, the rock strike the ground.

Answer:

7098

Step-by-step explanation:

For this we need to identify the area of the garden entirely and subtract the area of the parallelogram getting our land of grass.

1) 65*110=7150

2) 13*4=52

3) 7150-52=7098

Answer:

g(-9) = 1

Step-by-step explanation:

g(-9) is the value of the function at x = -9

Go over the x = -9 and go up until you hit the blue line

Read the value of y

g(-9) = 1

Answer:

Step-by-step explanation:

1. 90

2. 42,49

3. 2860

4. 13cm

5. 16-5=11

6. Sector

7. 1 whole no. 1 divided by 5

8. 7 and 4

9. 3/9

10.57.8

11. 19:20pm

12.

Answer:

10

Step-by-step explanation:

[tex] \frac{ \sqrt{75a} + \sqrt{12a} + \sqrt{27a} }{ \sqrt{3a} } \\ \frac{ \sqrt{(25 \times 3)a} + \sqrt{(4 \times 3)a} + \sqrt{(9 \times 3)a} }{ \sqrt{3a} } \\ \frac{ 5\sqrt{3a} + 2 \sqrt{3a} + 3\sqrt{3a} }{ \sqrt{3a} } \\ \frac{(5 + 2 + 3) \sqrt{3a} }{ \sqrt{3a} } = 10[/tex]

Answer: See below

Step-by-step explanation:

My old math notebook had simillar question,hope that help

√75a+√12a-√27a/√3a

=√a(3*25)+√a(3*4)+√a(3*9)/√3a

=√25*√3a+√4*√3a+√9*√3a/√3a

=(5+2+3)√3a/√3a

=5+2+3=10

Answer:

4x²

Step-by-step explanation:

Your equation is 4x² - 6x² + 7x² - 20x² + 19x².

Since they all have the same variable, simply combine them all to find your answer.

4x² - 6x² + 7x² - 20x² + 19x²

-2x² + 7x² - 20x² + 19x²

5x² - 20x² + 19x²

-15x² + 19x²

4x²

Answer:

A. [tex]G(x) = x^2+7[/tex]

Step-by-step explanation:

To shift the function F(x), seven units upwards, there needs to be a 7 being added. Based on this, only "A," is correct.

What's the question asking? 12a+15(18)?

Answer:

the answer is 3

Step-by-step explanation: