31. One serving of party drink is comprised of 3oz of syrup, 4oz of water, and 3oz of apple juice. If a large bowl of the drink contains 237oz of apple juice, how much of the total drink is in the bowl

Answer:

61.538461538462%, 23.076923076923%, 15.38461538461538

Step-by-step explanation:

there are 65 candies in total

(candy bars) 40 is 61.538461538462% of 65

(gum) 15 is 23.076923076923% of 65

(lolipops) 10 is 15.38461538461538% of 65

Answer:

b/w 19 & 55

Step-by-step explanation:

average of four equally weighted 100-point tests,

mark has scored 90, 86, and 85 on the first three.

C average = 70 and 79

90+86+85+x = 4*70 = 280, so x=19

90+86+85+x = 4*79 = 316, so x=55

The answer is 1.

The given equation is y = √x.

To find dy/dt, we need to differentiate y with respect to t as follows:dy/dt = d/dt (y) = d/dt (√x)= d/dt (x^1/2) = 1/2 x^-1/2 dx/dt = 1/2√x (dx/dt).

Given x = 4 and dx/dt = 2, we can substitute these values to find dy/dt:dy/dt = 1/2√x (dx/dt)= 1/2√4 (2)= 1/2 (2)= 1Thus, dy/dt = 1. Therefore, the answer is 1.

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The standard form of the quadratic equation is x² -17x + 60 =0

What is a quadratic equation?

A quadratic equation is a second-order polynomial equation with a single variable such as x, where ax²+bx+c=0. with a ≠ 0 . Given that it is a second-order polynomial equation, the algebraic fundamental theorem ensures that it has at least one solution. Real or complicated solutions are both possible.

Standard form of a quadratic equation:

ax² + bx + c=0

Given:

x² = 17x - 60

move right side terms to the left

x² -17x + 60 =0

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The discount rate raised to nth power.

NPV is defined as Net Present Value. It is mainly used in capital budgeting and investment planning for the purpose of analyzing the project profit. NPV is the difference between  the present value of cash inflows and the present value of cash outflows in a period of time. The occurrence of cashflows in a series at different times is termed as NPV. NPV is a measure widely used in finance and commercial real estate. It is used to help taking decisions in accounting calculation. The cashflow that is discounted can be termed as NPV.

A simple example for NPV is, If a security offers a series of cashflows with an NPV of $30,000 and an investor pays exactly $30,000 for it, then the  investor's, NPV is $0.

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Answer:

Step-by-step explanation:

To convert, you will need to know how many times five will go into 42. Once found, that will be your whole number. The remainder will be the numerator, and the divisor of the current fraction will become the denominator.

Given fraction:

Knowing how many times five will go into 42.

The denominator of the given fraction will be the denominator of the created mixed fraction.

Hence, Option C is correct.

Answer:

a square + b square = c square

Answer:

4/12

Step-by-step explanation:

Answer:3

Step-by-step explanation:

9x3=27

Answer:

18.8

Step-by-step explanation:

all you have to do is take the 50.8 Fahrenheit and divided by 32 Fahrenheit and we get the answer!

The amount that each employee will get out of the bonus to your department will be $3,000.

What will each employee get?

You manage a staff of 9 employees in your department which means that there are 10 people in total.

The amount that each person will get from the bonus will therefore be:

= 30,000 / 10 employees

= $3,000

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Answer:

$36.75

Step-by-step explanation:

You do 5% of 35 which equals 1.75 that’s your sales tax.

then add 1.75+35.00= 36.75

Answer:

In six hours workers will filled 720 bottles

Step-by-step explanation:

Data :

 Time = T = 8 hours

 In 8 h fill = 960 bottles

First we need to how many bottles worker fills in  1 hour

So       960/8 = 120

In 1 hour workers filled 120 bottle

Now for six hours

      120 × 6 = 720

Answer:

720 bottles

Step-by-step explanation: 8 h=960

1 h=960 bottles divided by 8 therefore you will have 120 bottles for one hour.

6 h= 120 bottles x 6= 720 bottles

x =1/3

25ˣ⁺¹ = 125/5ˣ

5²⁽ˣ⁺¹⁾ = 5³/5ˣ

5²⁽ˣ⁺¹⁾ = 5³ : 5ˣ

5²⁽ˣ⁺¹⁾ = 5³⁻ˣ

2(x + 1) = 3 - x

2x + 2 = 3 - x

2x + x = 3 - 2

3x = 1

x = 1/3

The combined perimeter of

2b (14y - 12)

2c (18y + 4)

2d (14y - 16), is

Add the like terms

The combined perimeter is (46y - 24)

The combined area of

1b (10y^2 - 27y +5)

1c (20y^2 + 11y - 3)

1d (12y^2 -24y), is

Add the like terms

The combined area is (42y^2 - 40y + 2)

Answer:

129.3mm chain left without beads

Step-by-step explanation:

Equation:

400mm long chain - [(40 x 1.7mm) + (27 x 6.5mm) + (8 x 3.4mm)]

                   = chain left without beads

Calculation:  

         40 beads x 1.7mm = 68mm

         27 beads x 6.5mm = 175.5mm

         8 beads x 3.4mm = 27.2mm

         (68mm + 175.5 mm + 27.2mm) = 270.7mm chain with beads

         400mm chain - 270.7mm chain with beads

                   = 129.3mm chain left without beads

Answer:

\(\dfrac{c}{2}\)

Step-by-step explanation:

We can simplify the given expression by canceling like terms.

Remember that anything divided by itself is 1.

ex:

\(\dfrac{2x}{x} = 2 \cdot \dfrac{x}{x} = 2 \cdot 1 = 2\)

Applying this logic to the given expression:

\(\dfrac{a}{2b} \cdot \dfrac{bc}{a}\)

↓ simplify multiplication of fractions

\(\dfrac{a \cdot bc}{2b \cdot a}\)

↓ rewrite to align like variables

\(\dfrac{a \cdot b \cdot c}{a \cdot b \cdot 2}\)

↓ separate out variables that are divided by each other

\(\dfrac{a}{a} \cdot \dfrac{b}{b} \cdot \dfrac{c}{2}\)

↓ represent them as 1

\(1 \cdot 1 \cdot \dfrac{c}{2}\)

↓ rewrite without unnecessary 1's

\(\dfrac{c}{2}\)

The probability of at least 15% of 100 Indianapolis residents supporting the patriots in gaint match Super Bowl XLVI is 0.293.

By using the normal distribution method, a mean u and standard deviation σ,

The ratio of people who wants the Giants to eat patriots is p = 0.90,

The assumed sample size denoted by n is 100,

and their distribution's mean is u = 0.90,

by using the standard deviation formula is

σ = √(p(1 - p) ÷ n),

σ = √(0.90(1 - 0.90) ÷ 100),

σ = 0.03,

we get that the standard deviation is σ = 0.03

Here the probability that at least 15% of 100 Indianapolis residents encouraged the Patriots in the gaint match  Super Bowl XLVI is

P(X > 0.15) = 1 - P((X - u) ÷ σ) > (0.90 - 0.15) ÷ 0.03))

The significant value of X,

X - u ÷ σ = Z

we get,

P(X > 0.75) = (Z<5)-1

P(X < 0.75) = 1.293 - 1

P(X < 0.75) = 0.293

By solving we get, The probability of at least 15% of 100 Indianapolis residents supporting the patriots in gaint match Super Bowl XLVI is 0.293.

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Among the given options, (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements must be true about the 9 measurements, excluding the outlier, when compared with the 10 measurements.

An outlier is defined as a measurement that significantly deviates from the other measurements in a data set.

In this case, one of the measurements among the 10 is identified as an outlier.

When comparing the remaining 9 measurements with the entire set of 10 measurements, the maximum value of the 9 measurements cannot exceed the maximum value of the 10 measurements because the outlier, by definition, exceeds the upper quartile or lower quartile by at least 1.5 times the interquartile range.

It is important to note that the median of the 9 measurements can be either greater than or less than the median of the 10 measurements, depending on the specific values of the measurements.

The presence of the outlier does not necessarily determine the relationship between the medians of the two sets.

Similarly, the standard deviation of the 9 measurements may or may not be less than the standard deviation of the 10 measurements.

The inclusion or exclusion of the outlier can have an impact on the standard deviation calculation, but it is not guaranteed to be lower or higher in either case.

Therefore, among the given options, the only statement that must be true is (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements.

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Answer:

-2(3) + 4x -4 =-14

-6 + 4x -4=-14

4x = -14 + 6 + 4

4x = -4

x=-1

To verify this...Input -1 into the original equation... You'd get -14

We conclude that less than 30% of teen girls smoke to stay thin.

Let p be the percentage of teen girls who smoke to stay thin.

So, the Null Hypothesis,(\(H_{0}\)):

p≥ 30%

This means that at least 30% of teen girls smoke to stay thin

Alternate Hypothesis,(\(H_{A}\)) :

p < 30%

This means that less than 30% of teen girls smoke to stay thin.

The test statistics that would be used here

One sample z proportion statistics:

T.S = p' - p/ \(\sqrt{p'(1-p')/n}\) ≈N( 0,1)

Here p'= sample percent of teen girls who smoke to stay thin = 63/ 273 = 0.231

n = number of sample of teen girls = 273

Now putting these values we have:

Test statistics = 0.231 - 0.30/ \(\sqrt{0.231( 1- 0.231)/ 273}\)

                      = -2.705

So we get the value of z-test statistics as - 2.705.

As there is not provided in the question that the level of significance so we assume it to be 5%. Now at a 5% significance level, the z table gives the critical value of -1.645 for left- the tailed test.

As test statistics is less than the critical value of z that is -2.705< -1.645. So we reject our null hypothesis as will fall in reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore we get that less than 30% of teen girls smoke to stay thin.

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When the numerator and denominator is same the answer will be always 1

For example:

\(\ \dfrac{3}{3} }\), Here the numerator(3) and denominator(3) is same and equals to 1.

Radical example:

\(\ \dfrac{\sqrt{4} }{\sqrt{4} } }\), Here the numerator(√4) and denominator(√4) is same and equals to 1.

Algebra example:

\(\dfrac{pq^2}{q^2p}\) ,Here the numerator(pq²) and denominator(q²p) is same and equals to 1.

Answer:

The ~ numerator ~ represents the total number of parts taken into account. Now the ~ denominator ~ represents the total number of equal parts in a fraction!

Step-by-step explanation:

_Hope this helps_  :>

Answer:

3x + 5y = 15

Find gradient:

coordinates taken: (5, 0), (0, 3)

\(\rightarrow \sf \dfrac{y_2-y_1}{x_2-x_1}\)

\(\rightarrow \sf \dfrac{3-0}{0-5}\)

\(\rightarrow \sf -\dfrac{3}{5}\)

equation:

\(\sf \bold{ y = m(x) + b}\)

\(\rightarrow \sf y = -\dfrac{3}{5} x + 3\)

\(\rightarrow \sf y = -\dfrac{3}{5} x + \dfrac{15}{5}\)

\(\rightarrow \sf 5y =-3x+15\)

\(\rightarrow \sf 3x+5y =15\)

Take two points

So

equation of line in intercept form

\(\\ \rm\rightarrowtail \dfrac{x}{a}+\dfrac{y}{b}=1\)

\(\\ \rm\rightarrowtail \dfrac{x}{5}+\dfrac{y}{3}=1\)

\(\\ \rm\rightarrowtail 3x+5y=15\)

There is a significant relationship between the number of cats she owns and the number of times an old widow was married (r = +0.91, p < 0.05, r² = 0.82).

Given, the Pearson correlation coefficient of +0.91,

There appears to be a strong +ve correlation between the number of cats she owns and the number of times an old widow was married.

It suggests that the more times a widow was married,the more cats she tends to own.

Approximately 82% of the variance in the number of cats owned can be explained by the number of times a widow was married is indicated by the coefficient of determination (r²).

Hence, we can say that there is a significant relationship between the number of cats she owns and the number of times an old widow was married (r = +0.91, p < 0.05, r² = 0.82).

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Answer:

7q-35

Step-by-step explanation:

Answer: It will be 9378.94

Step-by-step explanation: You have to divide 16200 by 14.25% to get 1136.84211. Then multiply 1136.84211 by 6 to get 6821.05266. Finally you subtract 6821.05266 from 16200 to get your answer, 9378.94