The weather forecast for the day shows a 45% chance of
rain, a 45% chance of lightning, and a 25% chance of lightning
and rain. Which statement is correct?
A. The chance of rain and the chance of lightning are
independent because .2025 = .25
B. The chance of rain and the chance of lightning are
independent events because .45 = .45
C. The chance of rain and the change of lightning are
dependent events because .2025 2.25
D. The chance of rain and the chance of lightning are
dependent events because .45 = .45

Answer:5 cups

Step-by-step explanation:

21 cups divided by 4.2 is

5L are needed in 21 cups.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

1 L= 4.2 Cups

and, for 21 cups =  21/4.2

                          = 210/42

                          = 5 L

Hence, 5L are needed in 21 cups.

Learn more about Unitary Method here:

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Answer:

2 and 3

Step-by-step explanation:

You have to subtract 25 from x.

Answer:

B and C

Step-by-step explanation:

Answer:

[tex]\large\boxed{x=-\dfrac{3}{2},\ y=-3\to\left(-\dfrac{3}{2},\ -3\right)}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}-6x-4y=21\\-6x+3y=0&\text{change the signs}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-6x-4y=21\\6x-3y=0\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-7y=21\qquad\text{divide both sides by (-7)}\\.\qquad\boxed{y=-3}\\\\\text{Put the value of}\ y\ \text{to the second equation}\ 6x-3y=0:\\\\6x-3(-3)=0\\6x+9=0\qquad\text{subtract 9 from both sides}\\6x=-9\qquad\text{divide both sides by 6}\\x=-\dfrac{9:3}{6:3}\\\boxed{x=-\dfrac{3}{2}}[/tex]

Answer:

True

Step-by-step explanation:

Answer:

[tex]3g^{2} -7g+2\\=(3g-1)(g-2)[/tex]

Answer:

Infinite because it keeps going

ANSWER

EXPLANATION

The given series is

5 + 10 + 15 + 20 + . . . + 5n + . . .

The first term of this series 5

The constant difference is:

d=10-5=5

The +... at the end of the series means it does continue to infinity.

The series is infinite

Answer:

6 is a number 1-7

Step-by-step explanation:

Answer:

64.

Step-by-step explanation:

That would be 32% of 200.

= 32 *200 / 100

= 32 * 2

= 64 (answer).

Answer:

64

Step-by-step explanation:

From the pie chart 32% preferred tea.

Calculate 32% of 200

32% = [tex]\frac{32}{100}[/tex] = 0.32, hence

number preferring tea = 0.32 × 200 = 64

ANSWER

(-∞,+∞)

EXPLANATION

The given polynomial function is:

[tex]f(x)=10x^3 +18x[/tex]

The domain refers to all values of x that make the function defined.

Polynomial functions are defined for all real values of x

The domain is the set of all real numbers.

This is written in symbolic representation as

(-∞,+∞)

Answer:

Reflect over the y-axis

Step-by-step explanation:

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed).

Notice that B is 5 horizontal units to the right of the y-axis, and B' is 5 horizontal units to the left of the y-axis.

The reflection of the point (x,y) across

the y-axis is the point (-x,y).

Answer:

I think the second option is correct.

because the unknown angle is 90.

and if replace anyone of the x with 90 the equation isn't correct except with the second option.

Step-by-step explanation:

if you want me to show you how I got 90 degree for x just tell me and I'll show you

Hope this helps

Answer:

The area of the trapezoid is 90 cm².

Answer:

The new drug appears to reduce insomnia since the re-randomized mean differences are close to the mean difference found between the two groups studied.

Step-by-step explanation:

The group given the new drug reported an average of 3.3 nights they suffered insomnia a month. Therefore the mean of this group is 3.3.

On the other hand, the control group receiving the placebo reported an average of 9.5 nights they suffered insomnia a month. Therefore, the mean of this control group is 9.5.

The population mean difference between these two groups is thus;

9.5 - 3.3 = 6.2

This difference is very significant inferring that the new drug appears to reduce insomnia. Nevertheless, this mean difference is considerably close to the difference of the means from re randomization. Therefore we can conclude that,

The new drug appears to reduce insomnia since the re-randomized mean differences are close to the mean difference found between the two groups studied.

Answer:

Pretend that H is the midpoint of AB, connect O and H

=> OH is the median of ΔOAB

Since we know that OA = OB => ΔOAB is an isosceles triangle

=> OH is also the height of ΔOAB

=> ∠OBA = ∠OAB = (180° - ∠AOB)/2 = (180° - 120°)/2 = 60°/2 = 30°

Now look at ΔOHB (that you create by connecting O and H)

We have:

cos30° = BH/OB

=> BH = cos30° · OB = √3/2 · x = (√3 x)/2

Because we have H as the midpoint of AB, we know that:

AB = 2 · BH = 2 · (√3 x)/2 = √3 x

So the answer is B

ADC = 60

4x + 2x = 180

6x = 180

180/6 = 30

X= 30

2(30) = 60

Answer:

∠ADC = 60°

Step-by-step explanation:

BDC is a straight angle, thus

∠BDA + ∠ADC = 180 ← substitute in values

4x + 2x = 180

6x = 180 ( divide both sides by 6 )

x = 30

Hence

∠ADC = 2x = 2 × 30 = 60°

Answer:

To plot a decimal on a coordinate plane you plot it between the two whole numbers its close to.

Step-by-step explanation:

Answer:

633

Step-by-step explanation:

We have the equation

[tex]15+102[12-(12-3*2)]+6\\\\15+102[12-(12-6)]+6\\\\15+102[12-(6)]+6\\\\15+102[6]+6\\\\15+612+6\\\\633[/tex]

Answer:

Step-by-step explanation:

Multiply the numbers:

15 + 102 • [12 – (12 – 3 • 2)] + 6

15 + 102 [(12-(12-6)] +6

Then Subtract the numbers:

15 + 102 x 6 + 6

Then Multiply the Numbers:

15 + 612 + 6

Then Calculate the sum:

633

Answer: 15 + 102 • [12 – (12 – 3 • 2)] + 6 = 633

Answer:

[tex]d = \frac{1}{50} k[/tex]

Step-by-step explanation:

Let

w be the weight of the dog

and

d be the dosage given to the dog

As both of them are directly proportional

d ∝ w

Whenever the proportion symbol is removed from proportion, a proportionality constant is introduced.

So,

d = kw      Eqn 1

As we are given the values of d and w, putting the values

3/5 = 30k

[tex]\frac{3}{5*30} = k[/tex]

[tex]\frac{3}{150} = k[/tex]

So,

k = 1/50

Putting

K=1/50 in Eqn 1

[tex]d = \frac{1}{50} k[/tex]

So d = 1/50 * k relates dosage and weight ..

The equation relating the weight, w, and the dosage, d, is d = (1/50) * w.

The relationship between the weight of a dog and the dosage of a certain medicine is said to be directly proportional. This means that as the weight of the dog increases, the dosage of the medicine also increases. To find the equation relating the weight, w, and the dosage, d, we can use the given information:

For a 30-pound dog, the veterinarian gives 3/5 milligram of the medicine.

We can use this information to set up the equation:

weight of dog (w) = 30 pounds

dosage of medicine (d) = 3/5 milligrams

Hence, the equation relating the weight (w) and the dosage (d) is d = k * w.

Here, k represents the constant of variation or the proportionality constant. To find the specific value of k, we can substitute the given values into the equation:

3/5 = k * 30

Solving for k:

k = (3/5) ÷ 30

Simplifying the fraction:

k = (3/5) * (1/30)

k = 1/50

Therefore, the equation relating the weight, w, and the dosage, d, is d = (1/50) * w.

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B. X-4y > 15;y>0 this is the correct answer

Answer:. x + 4y ≤ 15; y ≥ 0

Step-by-step explanation:

Put it in desmos graphing

Answer:

x<5 (x=# of shirts) or 8x < 70-30

Step-by-step explanation:

she has $40 left for shirts, 40/8 = 5. 5 is the maximum shirts she can buy.

Answer:

The answer is x [tex]\leq[/tex] 5

Step-by-step explanation:

Answer:

About 609,000 Cowboy stadiums could fit inside of Mount Everest

Step-by-step explanation:

we have

The estimate volume of Mount Everest is at around [tex]2,413\ km^{3}[/tex]

The Dallas Cowboys Stadium has a volume of [tex]140,000,000\ ft^{3}[/tex]

step 1

Convert ft³ to km³

we know that

1 km=3,280.84 ft

so

[tex]140,000,000\ ft^{3}=140,000,000*(1/3,280.84)^{3}=0.003964\ km^{3}[/tex]

step 2

To find how many Cowboy stadiums could fit inside of Mount Everest, divide the volume of Mount Everest by the volume of the Dallas Cowboys Stadium

[tex]2,413/0.003964=608,729[/tex]

Round to the nearest Thousands

[tex]608,729=609,000[/tex]

The volume of Mount Everest is about 609,000 times greater than the volume of the Dallas Cowboys Stadium

Approximately 608,570 Dallas Cowboys Stadiums could fit inside the volume of Mount Everest.

To answer this question, we first need to convert the volume of Mount Everest and Dallas Cowboys Stadium to the same units. Given that 1 cubic kilometer (km³) is equal to approximately 35.31 billion cubic feet (ft³), so the volume of Mount Everest is approximately 2,413 km³ * 35.31 billion ft³/km³ = 85.199 trillion ft³.

The volume of the Dallas Cowboys Stadium is 140 million ft³. Now, we can find out how many Cowboy stadiums could fit inside of Mount Everest by dividing the volume of Mount Everest by the volume of the stadium.

Mount Everest volume / Dallas Cowboys Stadium volume = 85.199 trillion ft³ / 140 million ft³ = approximately 608,570 Dallas Cowboys Stadiums.

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Answer:

f=8

Step-by-step explanation:

Given,

6f=48

f=48/6

f=8

Verification:

6*8=48 ✓

Answer:

divide by six

f=8

8

Step-by-step explanation:

i just did the assiment

[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ K(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-4})\qquad L(\stackrel{x_2}{-4}~,~\stackrel{y_2}{6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{-4-2}{2}~~,~~\cfrac{6-4}{2} \right)\implies \left( \cfrac{-6}{2}~~,~~\cfrac{2}{2} \right)\implies (-3~,~1)[/tex]

the answer is...... (-3,1)

For this case we have by definition, that the equation of the line of the slope-intersection form is given by:

[tex]y = mx + b[/tex]

Where:

m: It's the slope

b: It is the cutoff point with the y axis

They tell us as data that:

[tex]m = 4\\b = 1[/tex]

So the equation is:

[tex]y = 4x + 1[/tex]

ANswer:

[tex]y = 4x + 1[/tex]

The equation is y=4x+1 because it’s a linear and the slope is attached to x always.hope this helps.please mark brainliest

Answer:

All options

Step-by-step explanation:

If two coins are flipped, there are following possibilities

1. Both coins show heads

2. First coin shows heads and second shows tails

3. First coin shows tails and second shows heads

4. Both coins show tails

Let H denote heads and T denote tails

Then the sample space can be translated from the above events as:

Sample  Space for Flipping Two Coins = {HH, HT, TH, TT}

which means that all the options are correct ..

Answer:

All the options.

Step-by-step explanation:

Answer:

Answer:

The fourth graph

Step-by-step explanation:

Let x = width

The length is one less than 3 times the width, so length = 3x - 1

So we have a rectangle with length, 3x - 1, and width, x

So the area = y = (3x-1)(x)

So our equation:

y = (3x - 1)*(x)

If we check the x-intercepts, we see that y = 0 when x = 0 and 1/3.  The only graph that has (0,0) and (1/3, 0) is the fourth graph, making that one our graph.

Step-by-step explanation:

[tex]\text{Hey there!}[/tex]

[tex]\frac{5}{4}+\frac{3}{4}\div-\frac{2}{3}\ -\ \frac{5}{6}[/tex]

[tex]\frac{5}{8} +\frac{3}{4}=\frac{11}{8}[/tex]

[tex]\frac{-2}{3}-\frac{5}{6}=\frac{-3}{2}[/tex]

[tex]\text{Problem becomes:}\frac{11}{8}\div\frac{-3}{2}[/tex]

[tex]\frac{11}{8}\div\frac{-3}{2}=\frac{-11}{12}[/tex]

[tex]\boxed{\boxed{\bf{Answer:\frac{-11}{12}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

[tex]x=\frac{1}{2}[/tex] or [tex]x=2[/tex]

Step-by-step explanation:

The given quadratic equation is:

[tex]\frac{4}{5}x^2=2x-\frac{4}{5}[/tex]

We multiply through by 5 to get:

[tex]4x^2=10x-4[/tex]

Rewrite in standard quadratic form;

[tex]4x^2-10x+4=0[/tex]

Or

[tex]2x^2-5x+2=0[/tex]

Split the middle term to get:

[tex]2x^2-4x-x+2=0[/tex]

Factor to get:

[tex]2x(x-2)-1(x-2)=0[/tex]

Factor further to get:

[tex](2x-1)(x-2)=0[/tex]

Either [tex](2x-1)=0[/tex] or [tex](x-2)=0[/tex]

Either [tex]x=\frac{1}{2}[/tex] or [tex]x=2[/tex]

Answer:

25 girls

Step-by-step explanation:

Let

x denote number of boys

and

y denote number of girls

According to the statement that total 45 people came,

x+y = 45      => Eqn 1

And total paid amount was 175

So,

5x + 3y = 175    => Eqn 2

For solving, We will use the substitution method

So, from eqn 1

x = 45-y

Putting value of x in eqn 2

5(45-y) +3y = 175

225 - 5y + 3y = 175

-2y+225 = 175

-2y = 175-225

-2y = -50

2y = 50

y = 25

Putting y =25 in eqn 1

x+25 = 45

x = 45 - 25

x = 20

As y= 25

So, 25 girls came to the dance ..