Ben needs to mix 1.5 cups of lemonade concentrate with 4 cups or water to make lemonade. He has 6 cups of concentrate. How much water does he need?

Answer:

C.) [tex]\frac{a^6}{b^5}[/tex]

Step-by-step explanation:

[tex]\frac{a^2b^{-7}}{a^{-4}b^{-2}}[/tex]

Use the quotient rule [tex]\frac{x^a}{x^b}=x^{a-b}[/tex] :

[tex]a^{2+4}b^{-7+2}\\\\a^6b^{-5}\\\\[/tex]

Use the negative power rule [tex]x^{-a}=\frac{1}{x^a}[/tex] :

[tex]a^6*\frac{1}{b^5}\\\\\frac{a^6*1}{b^5}\\ \\\frac{a^6}{b^5}[/tex]

:Done

Answer:

D

Step-by-step explanation:

[tex]\dfrac{a^2b^{-7}}{a^{-4}a^{-2}}=\\\dfrac{a^2}{a^{-4}}\cdot \dfrac{b^{-7}}{b^{-2}}=[/tex]

[tex]a^6b^{-5}[/tex], or option D. Hope this helps!

Answer:

choice D.) 0.9429

Step-by-step explanation:

Given a Normal data set

mean u = 54

standard deviation s = 3.8

we want P( X > 48)

Standardize this probability so we can use Z-scores.

P( X > 48) = P( (X - u)/s > (48 - 54)/3.8 ) = P(Z >  -1.5789)

so  I look for P ( Z > 1.5789) = 0.0571

so  P(Z > -1.5789) = 1 - P(Z > 1.5789) = 1 - 0.0571 = 0.9429

Answer:

C. 3.25

Step-by-step explanation:

A was wrong I seen the real answer which was C

Answer:

yes

Step-by-step explanation:

i know the answer

Answer:

[tex]111g[/tex]

Step-by-step explanation:

[tex]2 : 3 = 2 + 3 = 5 \\ \frac{185}{5} = 37 \\ \\ \: 2 \: \: \: \: \: \: \: \: \: \: \: \: \: : 3 \\ 37 \times 2 : 37 \times 3 \\ 74 g\: \: \: \: \: \: \: \: \: \: : 111g[/tex]

Answer:

B.

Step-by-step explanation:

radius of dart board = 18 inches

radius of bull's eye= 4 inches

(4/18)^2= about 04.9%

so B. 4.9% is your answer

Answer: THE ANSWER IS D 2,407.5

Step-by-step explanation:

Answer:

this is true!!

Step-by-step explanation:

Answer:25%

Step-by-step explanation: there is 4 choices and you pick one so it means 1/4 chance. You then got to put it in percent form and 1/4 is 0.25 but you then have to move the decimal twice to the right to get 25%

Answer:

The correct answer is B.

Answer:

12n

Step-by-step explanation:

12 * n= 12n

Answer:

12n

Step-by-step explanation:

You don't really need to do anything it's as simple as it can be!

Step-by-step explanation:

We have,

Circumference of a circle is 100 π.

Formula for circumference is :

[tex]C=2\pi r[/tex]

r is radius of circle

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{100\pi }{2\pi}\\\\r=50\ \text{units}[/tex]

Formula for area of circle is :

[tex]A=\pi r^2\\\\A=\pi (50)^2\\A=2500\pi\ \text{units}^2[/tex]

the area of the circle is 2500π square units.

To find the area of a circle when given the circumference, we must first determine the radius of the circle. The formula for the circumference of a circle is C = 2 π r, where C is the circumference and r is the radius. In this case, the circumference is 100 π units.

Substitute the radius (50 units) into the area formula:

Answer:

Option 3

Step-by-step explanation:

Answer:

From my understanding the answer is supposed to be 6.. but since that's not an option I think it's option 4.

Step-by-step explanation:

Answer:

D. 1/5 + 1/20 + 1/80 + 1/320

Step-by-step explanation:

Edge

Option D.)  1/5 + 1/20 + 1/80 + 1/320 is correct    

Geometric progression is kind of progression that the ratio to the adjacent values always same.

ratio in every option is not same except option D. 1/5 + 1/20 + 1/80 + 1/320
i.e. (1/5)/(1/20) = (1/80)/(1/20)

Thus the Option D.)  1/5 + 1/20 + 1/80 + 1/320 is correct                                                                                              

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Answer:

Z = -6

Step-by-step explanation:

The null hypothesis is that 51.5% of newborn babies are boys, and the alternative hypothesis is that the percentage is different from 51.5%. The test statistic, used to decide whether to reject or fail to reject the null hypothesis, is calculated using the observed percentage of boys and the sample size.

The question is about testing a hypothesis about the proportion of boys born (51.5%). For this, we set our null and alternative hypotheses. The null hypothesis (H0) being tested here is that the true proportion of boys is 51.5% (p = 0.515), while the alternative hypothesis (H1) is that the proportion of boys is not 51.5% (p ≠ 0.515). The correct choice here would be A: Upper H0: p=0.515, Upper H1: p ≠ 0.515.

To calculate the test statistic, we would use the formula [(p' - p) / sqrt[(p(1 - p) / n]], where p' is the observed proportion in our sample (434 boys out of 850 births or 0.51), p is the claimed proportion (0.515), and n is the sample size (850). After calculating this, you would compare it to a critical value associated with the 0.10 significance level to decide whether to reject or fail to reject the null hypothesis.

Without the specific calculations, I can't tell you what your final test statistic will be, but this should guide you in the right direction.

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The null and alternative hypotheses are H₀: p = 0.515 and H₁: p ≠ 0.515. The test statistic for this hypothesis test is the z-score.

The null and alternative hypotheses for this test are:

The test statistic for this hypothesis test is the z-score. To calculate the z-score, you can use the formula:
z = (p' - p₀) / sqrt((p₀ * (1 - p₀)) / n)

Substituting the given values:
z = (434/850 - 0.515) / sqrt((0.515 * (1 - 0.515)) / 850)

Calculating the z-score, we can compare it to the critical value(s) from the standard normal distribution to make a conclusion about the null hypothesis.

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Answer: I would think 1/3

Step-by-step explanation:

If there are 10 large fish and half are red that would mean there is a 5/10 chance of getting a red fish from the large fish.. because there are 15 fish in total you would do 5/15 because there are 15 and 10 of those fish are large and 5 of the large fish are red. And 5/15 to its simplest form is 1/3! If this is right please give brainlist!

The probability of randomly selecting a large, red fish from an aquarium with 5 red large fish and 10 total large fish is 1/3.

This question falls under the category of probability in mathematics. In the given aquarium, we have 10 large fish, 5 of which are red, and 5 small fish. That makes a total of 15 fish. So, when you randomly select one fish, you have 15 possible outcomes. If you want to select a large, red fish, you have 5 such fish in the aquarium. The probability of an event is calculated by dividing the number of desired outcomes by the total number of outcomes. Therefore, the probability of selecting a large, red fish from the tank is 5/15 which simplifies to 1/3, this is the fraction in simplest form that represents the probability.

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Answer:

7

Step-by-step explanation:

yidtkddkyoufofytidtsitdydiyof

Answer:

for 33 its C

Step-by-step explanation:

4 times blue parakeets is 4b

y=4 times blue parakeets so y=4b

Answer:

D.) [tex]y=\frac{1}{7} g[/tex]

Step-by-step explanation:

Yellow parakeets = y

Green parakeets = g

Blue parakeets = b

There are 7 times as many yellow as green, which leaves us with the following equation:

[tex]7y = g[/tex]

We also know that there are 4 times as many green as blue - but this is just a distractor, this equation is irrelevant!:

[tex]4g =b[/tex]

The proper equation to solve for is [tex]7y=g[/tex]!

To solve, we do the following:

[tex]7y = g\\*\frac{1}{7}\\y = \frac{1}{7} g[/tex]

Answer:

Electrons are transferred from one atom to another

Step-by-step explanation:

I knoww

Answer:

c-5 inches

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

Answer:

(x+5)(x-3) = x^2+2x-15

Step-by-step explanation:

since there is a -15 at the end and a +2x in the center, you want two factors of 15 which differ by 2. Those are 5 and 3. Now, you want one + and one -, so +5-3 = +2

Answer:

The answer is D

Step-by-step explanation:

I learned this in school

Answer:

J=1607.77cm

Step-by-step explanation:

Answer:

1608

Step-by-step explanation:

its 1/3 of the length of its body

Answer:

Whales head

Step-by-step explanation:

1/3

Answer:

1/1

Step-by-step explanation:

SO the chances are 1/1, or 100%. There are 2^3 = 8 possible outcomes after tossing a fair coin fairly 3 times. The 8 possible outcomes are: TTT, HTT, THT, TTH, HHT, HTH, THH, HHH.

The probability of getting heads only on the last toss of three tosses of a fair coin is 0.25 or 25%. This theoretical probability, according to the law of large numbers, tends to become closer to the observed frequency as the number of repetitions increases.

The subject of this question can be classified under Mathematics. It falls under the area of probability, specifically the concept of binomial probability. When a fair coin is tossed, there are two possible outcomes: heads (H) or tails (T). The probability of getting either outcome is 0.5. This is the theoretical probability based on the assumption that the coin is fair and unbiased.

Tossing the coin three times introduces eight possible combinations (HHH, HHT, HTH, HTT, THH, THT, TTH, TTT). Out of these, only two combinations (TTH, THT) yield heads (H) on the last toss alone.

Therefore, the probability of getting heads only on the last toss is the number of successful outcomes divided by the total number of outcomes, i.e., 2 out of 8 or 0.25 (25%). This probability is a theoretical probability that deals with long-term expectation and it tends to become closer to the observed or empirical frequency as the number of repetitions increases (law of large numbers).

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Answer:

A. y = 3x + 1

Step-by-step explanation:

Slope-intercept form y = mx + b

m = slope

b = y - intercept