A class is made up of 50 boys, 25 girls,
What is the ratio of boys to girls.

First, let's figure out the pattern that this series follows. We can see that the first number is increased by 1/2 to get to 2 1/2. Then, the second number is decreased by 1 to get to 1 1/2. Finally, the pattern repeats.

So, let's apply this pattern to find the next number in this series.

2, 2 1/2, 1 1/2, 2, 1

The next number in this series is 1.

Hope this helps!! :)

Total water bill for the month is $62.37.

It seems that you may have accidentally left out the total amount of your water bill.

The total amount by simply adding the amounts of the individual bills together:

Total water bill =\($36.34 + $26.03\)

= \($62.37\)

You have not provided enough information to determine your total water bill.

You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.

To find your total water bill, you simply need to add the two bills together.

So, the total amount you owe for water this month would be:

Total water bill = \($36.34 + $26.03\)

= \($62.37\)

It appears that you may have forgotten to include the full amount of your water bill by accident.

Simple addition of the separate bill amounts yields the following sum:

Water bill total = \($36.34 + $26.03\)

= \($62.37\)

Your total water bill cannot be calculated because not enough information has been given.

Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.

You just need to combine the two invoices together to get your total water bill.

As a result, this month's total water bill for you would be:

Water bill total =  \($36.34 + $26.03\)

= \($62.37\)

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Answer:

--------------------------------------

Vertex form of a quadratic function:

Given (h, k) = (-2, -13) and a point (0, - 5).

Substitute all into equation and solve for a:

The parabola is:

Convert it to the standard form:

Answer:

\(f(x)=2x^2+8x-5\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{5.6 cm}\underline{Vertex form of a quadratic equation}\\\\$y=a(x-h)^2+k$\\\\where:\\ \phantom{ww}$\bullet$ $(h,k)$ is the vertex. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}\)

Given:

Substitute the given vertex and point into the Vertex formula and solve for a:

\(\implies -5=a(0-(-2))^2+(-13)\)

\(\implies -5=a(0+2)^2-13\)

\(\implies -5=4a-13\)

\(\implies 4a=8\)

\(\implies a=2\)

Substitute the given vertex and found value of a into the Vertex formula:

\(y=2(x+2)^2-13\)

The standard form of a quadratic function is  f(x) = ax² + bx + c

Expand the function in vertex form to standard form:

\(\implies y=2(x^2+4x+4)-13\)

\(\implies y=2x^2+8x+8-13\)

\(\implies y=2x^2+8x-5\)

The area of Figure 1 is 135 m².

The perimeter of Figure 2 is 20 m.

The area and perimeter of the polygons shown in figure 1 and figure 2 is calculated by applying principle of congruent theorem as shown below;

Length WX ≅ Length YZ

The area of Figure 1 is calculated as follows;

area of figure 1 / area of figure 2 = WX / YZ

area of figure 1  = area of figure 2 (WX / YZ)

area of figure 1 = 75 m²  x  (9 m / 5 m )

area of figure 1 = 135 m²

The perimeter of Figure 2 is calculated as follows;

perimeter of figure 2 / perimeter of figure 1 = YZ / WX

perimeter of figure 2 = (YZ/WX) x perimeter of figure 1

perimeter of figure 2 = ( 5 m / 9 m ) x 36 m

perimeter of figure 2 = 20 m

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A) Stratified. The method of selecting a classroom number at random and then surveying all the students in that room is an example of stratified sampling.

In stratified sampling, the population is divided into smaller subgroups, or strata, based on a certain characteristic (such as grade level), and a sample is selected from each stratum. They call the subgroups strata and give information in the form of divisions for a better understanding of a topic or a piece of information.

After dividing the main matter the subtopics are also sampled randomly in order to acquire the right solution for the survey. this method is one of the better methods to be done in order to get better results on a topic.

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Answer:

There is a root between x=3 and x=5.

Step-by-step explanation:

Not entirely sure what this question wants, but from this you can tell that the function crossed the x-axis in the interval (3, 5). When x is 3, y is 5, and then when x is 5, y is -2.

If the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.

The first quartile (Q1) of the ages of the 256 employees of CCNHS – Main Campus being 39 years old implies that 25% of the employees have an age equal to or less than 39 years old.

In statistical terms, the first quartile represents the point below which 25% of the data falls. It divides the data set into four equal parts, with each part containing 25% of the data. Therefore, if the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.

This information provides insight into the age distribution of the employees at the institution. It indicates that a significant portion of the employees are relatively young, with a quarter of them falling below the age of 39. Understanding the age demographics of the workforce can be useful for various purposes, such as planning professional development programs or implementing age-specific policies.

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Answer:

hope this helps...........

The solution is :

Option C is true. To calculate a sample proportion, we need to know the population size.

Here, we have,

To calculate a sample proportion, we need to know the population size. - This is the true statement.

A sample statistic can never be equal to the population parameter. This is false. A statistic is a feature of sample and a parameter is a feature of  population. Every sample of the selected size has an equal chance of being used.

Point estimates are defined for both samples and populations. This is false. A point estimate is used to estimate the population parameter.

To calculate a point estimate, we need to know the sample size. This is false. Population is needed.

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Answer:

p = t X 10.25

Step-by-step explanation:

if she makes 10.25 an hour/time then when you multiply it you will get the total pay.

Given that,

The water level of a lake rose by 1 2/3 in. during a 3 1/3 week-long wet spell. We need to find the average rate at which the water level changed every week. It is a problem based on the concept of ratio. So,

\(R=\dfrac{1\dfrac{2}{3}}{3\dfrac{1}{3}}\\\\=\dfrac{\dfrac{5}{3}}{\dfrac{10}{3}}\\\\=\dfrac{5}{3}\times \dfrac{3}{10}\\\\=\dfrac{1}{2}\)

So, the average rate at which the water level changed every week is 1/2 inches/week.

Answer:

b

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Answer:

Step-by-step explanation:

Comparing, we see that:

Correct choice is B

\(\sf \bf {\boxed {\mathbb {\: x = \frac{(p + 5)}{(4 + q)} }}}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\(p = 4x + qx - 5 \\ \)

\(➺ \: p = x \: (4 + q) - 5 \\ \)

\(➺ \: x \: (4 + q) = p + 5 \\\)

\(➺ \: x = \frac{(p + 5)}{(4 + q)} \\ \\ \)

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)

The measure of the side MN is 19.1.

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

The different trigonometric identities are expressed as:

From the information given, we have that:

Using the tangent identity:

\(\text{tan} \ \theta = \dfrac{\text{opposite}}{\text{adjacent}}\)

Substitute the values

\(\text{tan}(60) =\dfrac{\text{MN}}{11}\)

Cross multiply the values, we have:

\(\text{MN} = \sf 1.73(11)\)

\(\text{MN} = 19. 05 \thickapprox\bold{\underline{19.1 \ ft}}\)

Hence, the measure of the side MN is 19.1.

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A, percentages

You would see percentages on a circle graph, because it's how many parts of the whole that they take up.

Happy to help, have a great day! :)

Answer: True

Step-by-step explanation:

Answer:

123 Square Feet. Of Paint. Probably gonna take a little more than a sample-size quart, let me know how it turns out.

Step-by-step explanation:

You would need 11*15=165 square feet of paint. BUT

You need 42 less square feet, because there are 2, 7*3=21 square-foot windows.

165-42

Answer:

840

Step-by-step explanation:

40+400×2=840

5 percent per year

400/10=40

40/2=20

400/20=5

5 percent per year

The y-intercept of the line of fit is approximately 43.94 fluid ounces.

What is Probability ?

Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.

The answer is 35. If the theoretical probability of drawing two yellow socks is one fifth, then the experimental probability of drawing two yellow socks in one trial with replacement is also one fifth. Therefore, out of 175 trials, the number of times he will select two yellow socks can be predicted by multiplying the number of trials by the experimental probability: 175 * (1/5) = 35.

No, because for each input there is not exactly one output. The relation is not a function because for the input x = -5, there are two possible outputs: y = 1 and y = -1. Therefore, the relation violates the vertical line test, which requires that every vertical line intersects the graph at most once for the relation to be a function.

The y-intercept of the line of fit is approximately 43.94 fluid ounces. To find the y-intercept, we can look at the point where the line of fit intersects the y-axis (i.e., when x = 0). From the equation of the line of fit, we can see that the y-coordinate when x = 0 is approximately 43.94, which represents the initial amount of diet soda in the machine before it starts to be purchased.

Therefore,  The y-intercept of the line of fit is approximately 43.94 fluid ounces.

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Answer:

The same mean  ⇒  the same symmetry axis

Bigger standard deviation major spread

Step-by-step explanation: See Annex

The annex shows two different normal curves:

1.-  N (μ₀ ; σ₁ )

2.- N (μ₀ ; σ₂ )

Where   σ₁  > σ₂

They both have the same symmetry  axis ( they have the same mean and both curves have to be symmetrically related to the mean )

Normal distribution curves spread symmetrically at both sides of the mean, but the wider curve is the one that has the bigger standard deviation.  Standard deviation is a measure of the spread of the curve.

Whenever deviation is high, the data is more dispersed than when deviation is low.

Let the mean be 2.

Let the standard deviation be 0.3 for first graph. The data is more clustered around mean.

Let the standard deviation be 0.6 for second graph. The data is less clustered more dispersed from mean.

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Answer:5x

3

+2x

2

+9x+2?×(x

2

+2)

2

Step-by-step explanation:

Answer:

t = [ (x1' - x2' ) - d ] / SE . p < 0.05 suggests means are equal, p > 0.05 suggests means are unequal.

Step-by-step explanation:

Null Hypothesis [H0] : There is no difference between average estimates of two garages, M1 = M2

Alternate Hypothesis [H1] : There is difference between average estimates of two garages, M1  ≠ M2

Hypothesis can be tested by t test

t = [ (x1' - x2' ) - d ] / SE , where :-

x1' & x2' are sample means, SE = sqrt[ (s1^2/n1) + (s2^2 /n2) ] , d is the hypothesized difference between population means, and SE is the standard error ie 0 here

If the p value corresponding to calculated t value is < p value as per significance level (0.05) : We reject null hypothesis & state that M1  ≠ M2

If the p value corresponding to calculated t value >  p value as per significance level (0.05) : We accept null hypothesis & state that M1 = M2

Answer:

0.25

Step-by-step explanation:

You, can just use a calculator But Np

Good luck

Answer: 1/4

Step-by-step explanation:

16             6          96

_      X       _ =       _       = simplies down to 1/4

48              8          384

Answer:

$89.93

Step-by-step explanation:

Set up an equation:

Variable x = original price

40/100 = 35.97/x

Cross multiply

40 × x = 100 × 35.97

40x = 3597

Divide both sides by 40

x = 89.925

Round to the nearest cent:

5 rounds up so:

89.93

Check your work (use the original number instead of the rounded number to be more exact):

89.925 × 40%

Convert the percentage into a decimal to multiply:

89.925 × 0.40

35.97

Correct!

Depends how the answer "should" be formatted but 114 2/3 feet should do the trick

Answer:

12 3/5

Step-by-step explanation:

Answer:

12 3/5       can i have brainlist??                                                                          

Answer:

0.226, 0.374

Step-by-step explanation:

A high school is running a campaign against the over-use of technology in teens. The committee running the campaign decides to look at the difference in social media usage between teens and adults. and then Find a 90% confidence interval for the difference in proportions.

The formula for confidence interval for the difference between the proportions is given as:

p1 - p2 ± z × √p1 (1 - p1)/n1 + p2(1 - p2)/n2

From the question

We have two groups.

Group 1

They take a random sample of 200 teens in their city (Group 1) and find that 85% of them use social media,

p1 = x/n1

n1 = 200

x1 = 85% × 200 = 170

p1 = 170/200

p1 = 0.85

Group 2

Take another random sample of 180 adults in their city (Group 2) and find that 55% of them use social media.

p2 = x/n1

n2= 180

x2 = 55% × 180 = 99

p2 = 99/180

p2 = 0.55

z = z score for 90% Confidence Interval = 1.645

p1 - p2 ± z × √p1 (1 - p1)/n1 + p2(1 - p2)/n2

= 0.85 - 0.55 ± 1.645 √0.85(1 - 0.85)/200 + 0.55(1 - 0.55)/180

= 0.85 - 0.55 ± 1.645 √0.85(0.15)/200 + 0.55(0.45)/180

= 0.30 ± 1.645 × √0.0020125

= 0.30 ± 1.645 × 0.0448608961

= 0.30 ± 0.0737961741

Hence

= 0.30 - 0.0737961741

= 0.2262038259

= 0.30 + 0.0737961741

= 0.3737961741

Therefore, 90% confidence interval for the difference in proportions is (0.226, 0.374

Answer:

The slope will be negative

Step-by-step explanation:

The slope of the regression line tells us about the relationship or behavior of the dependent and independent variables. In the scenario above, where the weight is being compared with the number of days elapsed. What is expected of the weight and quantity of a bar soap each time it is used for a shower is that it will decrease in weight. Therefore, as the number of days increases, and hence, number of showers rise, the weight of soap will decrease. Hence, we'll obtain a negative slope, one in which the increase in a variable leads to decrease in the other.