In a survey of 2453 adults in a recent year, 1468 say they have made a New Year's resolution Construct 90% and 95% confidence intervals for the population proportion Interpret the results and compare the width of the confidence interval CE of the confidence The 90% confidence intervall for the population proportion pin (D) (Round to the decimal places as needed) The 95% confidence interval for the population proportion pis (D (Round to the decimal places a meded) With the given confidence, it can be said that the of ads who say they live made a New Year Compare the width of the contidence intervals. Choose the corect answer below OA. The confidence intervallo wider OB. The 95% confidence intervw is widest OC. The contidence intervals are the same width D. The confidence intervals Carnot be compared.

Answer:

no solution

Step-by-step explanation:

no solution    x=0

Answer:

neither

Step-by-step explanation:

you need to have 2 equations for it to be parallel/perpendicular

Answer:

neither

Step-by-step explanation:

parallel or perpendicular

thats just my answer :>>

Answer:

6 ounces

Step-by-step explanation:

First cup = 4 ounces of coffee + 4 ounces of milk

= 8 ounces drink

Second cup = 6 ounces of coffee + 2 ounces of milk

= 8 ounces drink

She poured 2 ounces from the first cup and 4 ounces from the second cup into the third cup.

Third cup = 2 ounces from the first cup + 4 ounces from the second cup

= 2 + 4

= 6 ounces drink

Ounces of coffee are in the third cup = 6 ounces

Answer:

Kunie is 25

Step-by-step explanation:

Let's make Yemi's age y, and Kunie's age k.

Because Yemi is 5 years older that Kunie, k + 5 = y.

Because the product of their ages is 750, k * y = 750.

With substitution, we can determine that k * (k + 5) = 750.

Then with distributive property we can simplify the equation to get k^2 + 5k = 750.

Then we bring all the terms to one side of the equation to get k^2 + 5k - 750 = 0.

Then with quadratics, we can factor the equation to get (k + 30)(k - 25)=0.

Thus, either k + 30 must equal 0, or k - 25 must equal 0.  Thus, k must equal 25 or -30, and because someone cannot be -30 years old, k = 25.

Then, because Yemi is 5 years older than Kunie, y = 30.

Hope it helps <3

Kunle's age is marked as k.

Yemi's age is therefore k + 5.

The product of k and k + 5 equals 750.

What is k?

Now that we have tought this through...

Here is the equality:

\(k(k+5)=750\)

Expanding the parentheses and subtracting 750 from both sides gives you

\(k^2+5k-750=0\)

Which is a second degree polynomial (ie. quadratic equation).

That means there are two solutions of what Kunle's age might be.

\(k^2+5k-750=0\)

\(k^2+30k-25k-750=0\)

\(k(k+30)-25(k+30)=0\)

\((k+30) (k-25) =0\implies k_1=-30, k_2=25

\)

So we got two results and since age cannot be negative that leaves us with one result and that is 25.

TL;DR The answer is: Kunle is 25 years old.

Hope this helps.

1) How many ways can 4 candy bars be chosen from a store that sells 30 candy bars?

In this case we can combine 30 types of candy bars in a set of 4 bars.

This can be calculated as a combination of 30 in 4 with no repetition:

Answer: 27,405 possible combinations (C).

2) How many ways can 13 students line up for lunch?

In this case we have a permutation of 13 in 13 with no repetition.

We can calculate this as:

Answer: 6,227,020,85)00 possible permutations (P).

3) How many ways can you make a 3-letter arrangements out of the letters in the word TRAPEZOID.

In the word we have 9 letters with no repetition, so we have to calculate a permutation (as order matters) of 9 letters in 3 places.

We can calculate this as:

Answer: 504 possible permutations (P).

4) How many ways can you choose 2 books from a shelf of 40 books.

In this case, the order does not matter, so it is a combination of 40 in 2.

This can be calculated as:

Answer: 780 possible combinations (C)

5) How many ways can 12 swimmers finish in first, second, and third place?

In this case, the order does matter, so we have a permutation of 12 in 3:

Answer: 1320 permutations (P)

6) How many ways can Mrs. Sullivan choose two students from 27 to help put away calculators at the end of class?

The order does not matter between the two students, so it is a combination of 27 in 2:

Answer: 351 combinations (C)

Answer:

Step-by-step explanation:

Terms    Coefficient

-60           -60

6p                6

-4z                -4

Answer:

The terms of expression are −30, 6p, and −4z.

The coefficients are 6 and −4.

b =(17,6x 8,9):19,7=7,95

Answer:

D. Square

It is the only one with all right angles and sides the same length

The initial value is 2000

The constant percentage growth rate is 20%

The growth factor is 1.2

Exponential function is a type of function of the form: f(x) = a(b)^x. It is made up of  3 main parts

a = the starting or initial value

b = the base function

x = the exponents

Considering the given problem, P = 2000(1.2)^t

the initial value = 2000

the base = 1.2

the exponents = t

The base is what says whether it will be an exponential growth or decay. For values of the base greater than 1 is exponential growth

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The probability of randomly drawing three balls numbered 10, 5, and 6 without replacement from a bucket containing 12 balls numbered 1 through 12 is \(\(\frac{1}{220}\)\) or approximately 0.004545 (rounded to the nearest millionth).

To calculate the probability, we need to determine the number of favourable outcomes (drawing balls 10, 5, and 6 in that order) and the total number of possible outcomes. The first ball has a 1 in 12 chance of being ball number 10. After that, the second ball has a 1 in 11 chance of being ball number 5 (as one ball has been already drawn). Finally, the third ball has a 1 in 10 chance of being ball number 6 (as two balls have already been drawn).

Therefore, the probability of drawing these three specific balls in the specified order is \(\(\frac{1}{12} \times \frac{1}{11} \times \frac{1}{10} = \frac{1}{220}\)\) or approximately 0.004545.

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Answer:

the answer according to my calculations will be 12

Step-by-step explanation:

the formula of area of trapezium is A=a+b÷2×h

and if we wanna solve for h

h=2 A÷ a+b

h=2 (234)÷39

after calculations...

h= 12  

hope it helps:)

Answer:

h = 12 cm

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = \(\frac{1}{2}\) h ( sum of parallel bases )

Here A = 234 and sum of bases = 39 , then

\(\frac{1}{2}\) h × 39 = 234 ( divide both sides by 39 )

\(\frac{1}{2}\) h = 6 ( multiply both sides by 2 to clear the fraction )

h = 12

Answer: 66

Step-by-step explanation:see attachment.

If this helps you please rate brainest

0.83 * 100 = 83, so 0.83 = 83/100.

But in case you meant the slightly more interesting repeating decimal, 0.8333...:

Let x denote this number. Then

10x = 8.333...

100x = 83.333...

==>  100x - 10x = 83.333... - 8.333...

==>  90x = 83 - 8 = 75

==>  x = 75/90 = 5/6

Answer:

This survey may be unfair because they are asking the question to a group of kids who are already biased because they all play a specific sport and are most likely going to chooses that sport. Therefore the answers will most likely be basketball because it is the basketball team taking the survey

Step-by-step explanation:

Answer:

it is definitely negative, i think it is -3/2

Step-by-step explanation:

is there a better picture of the graph?

ANSWER:

STEP-BY-STEP EXPLANATION:

According to the graph, the sum of these two angles is equal to 78°, therefore, the equation would be:

If we solve the value of x it would be:

Answer:

(7m+34)

Step-by-step explanation:

Add like terms 3m+4m=7m, 13+21=34

You have to make sure to add like terms.  In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.

Answer:

x=13

Step-by-step explanation:

According to the question

3x+5x-14=90

8x-14=90

8x=90+14

8x=104

x=104/8

x=13

Answer:

they always go smallest to largest!

7.65 x 2= 3.21

Step-by-step explanation:

In a transformation called a translation, the pre-image is slid either vertically or horizontally.

A translation is a type of transformation in geometry where the pre-image (original figure) is moved or slid to a new position in a specific direction. The movement can be either vertical or horizontal.

When a pre-image is translated vertically, it means that it is moved up or down without any change in its orientation. The entire figure maintains the same shape and size, but its position on the coordinate plane is shifted vertically.

On the other hand, when a pre-image is translated horizontally, it is moved left or right while preserving its original shape and size. The orientation of the figure remains the same, but its position on the coordinate plane is shifted horizontally.

In both cases, the translation occurs without any rotation, reflection, or resizing of the pre-image. The resulting image is a new figure that is congruent to the original but located at a different position on the plane.

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The average value of Avogadro's number based on the 4 trials is 6.017 × \(10^{23\) molecules/mole. The percent error for Avogadro's number is 0.0199%.

Let's say the average value of Avogadro's number based on the 4 trials is 6.017 × \(10^{23\) molecules/mole. The accepted value of Avogadro's number is 6.022 × \(10^{23\) molecules/mole.

The percent error can be calculated as follows:

percent error = |(experimental value - accepted value)| / accepted value * 100

In this case, the percent error is:

percent error = |(6.017 × \(10^{23\) - 6.022 × \(10^{23\))| / 6.022 × \(10^{23\) * 100

= 0.012 / 6.022 × \(10^{23\) * 100

= 0.0199%

Therefore, the percent error for Avogadro's number is 0.0199%. This means that the average value of Avogadro's number is very close to the accepted value.

Here are some of the factors that could contribute to the error:

The accuracy of the measuring instruments used.

The precision of the experimental procedure.

The variability of the samples used.

By repeating the experiment multiple times and using more accurate measuring instruments, the percent error can be reduced.

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Answer: (a) The ratio of spirit to varnish is 1 : 3

(b) You will need 80 ml of mineral spirits

(c) Ratio = 3 : 2

Step-by-step explanation: (a) If you have to mix 25% mineral spirit to the varnish as required in the question, then the whole solution would effectively contain 25 percent spirit and 75 percent varnish, giving you a hundred percent solution. To express both quantities in ratio can be done as follows;

Ratio = Spirit : Varnish

Ratio = 25 : 75

Ratio = 1 : 3

(b) Next, if you use 240 ml of varnish, this quantity would constitute 75 percent or ratio 3 out of 4 of your total solution. Therefore 240 ml of varnish can be expressed as follows;

240 : x = 3 : 4

Where x is the total solution and the right hand side (3 : 4) expresses the ratio of varnish in relation to the total solution. Hence,

240/x = 3/4

By cross multiplication you now have,

3x = 240 * 4

x = 960/3

x = 320

If x is the total solution which is 320 ml, and varnish constitutes 240 ml, then spirit equals,

Spirit = Total solution - varnish

Spirit = 320 - 240

Spirit = 80.

Therefore, you would need 80 ml of mineral spirits.

(c) Robson's tapestries all measure 1.5 m by 1 m. This can be expressed in whole numbers by first eliminating the decimal. Multiplying both dimensions by 10 results in,

1.5 (10) x 1 (10)

15 x 10

If both measurements can also be expressed as 15 m by 10 m, then reducing to the least terms would result in 3 by 2. That is,

15/5 by 10/5

3 by 2

Expressed as a ratio, this now becomes

Ratio = 3 : 2

The ratio of spirit to varnish is 1:3, the quantity of mineral spirits required is 80 ml and the proportion of the height of tapestries to the width is 3:2.

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.

It need to mix 25% mineral spirits to the varnish. For this the solution must contain the 25% mineral spirits and 75% of varnish.

The ratio of spirit to varnish become,

\(r=\dfrac{25}{75}\\r=\dfrac{1}{3}\)

Total 240 ml of varnish is there, which is equal to the 75% of the varnish. Let x is the total amount of solution. Thus,

\(x=\dfrac{240}{75}\times100\\x=320\)

Now the there are total 25% of mineral spirits in the solution of 320 ml. Thus, the 25% of 320 ml is,

\(\rm Mineral \;Spirits=\dfrac{320}{100}\times25\\\rm Mineral \;Spirits=80\; ml\)

Let L is the length and W is the width. Then the length and width in whole number can be express as,

\(L=15\rm \;,m\\W=10\; m\)

The ratio of length to width is,

\(\dfrac{L}{W}=\dfrac{15}{10}\\\dfrac{L}{W}=\dfrac{3}{2}\)

Thus, the ratio of spirit to varnish is 1:3, the quantity of mineral spirits required is 80 ml and the proportion of the height of tapestries to the width is 3:2.

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Answer:

\(\boxed{y = -5,5x - 52}\)

Step-by-step explanation:

Equation of a straight line: y = kx + b

Points: (-10,3) and (-8,-8)

Сompose the system of equations:

\(\displaystyle \left \{ {{3=-10k + b} \atop {-8=-8k + b}} \right\) \(\displaystyle \left \{ {{b= 3 + 10k} \atop {b=8k - 8}} \right \Longrightarrow 3 + 10k = 8k - 8\)

\(3 + 10k = 8k - 8\)

\(2k = -11|:2\)

\(k = -5,5\)

\(b = 3 + 10k = 3 + 10 \cdot ( -5,5) = 3 - 55 = -52\)

\(y = -5,5x - 52\)

Becca made a total of 24 rolls and 12 biscuits.

Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.

Becca made 2 trays of rolls and biscuits, with 12 rolls and 6 biscuits in each tray. To find the total number of rolls and biscuits, we need to multiply the number of rolls and biscuits per tray by the number of trays, and then add them together:

Total rolls = 2 trays × 12 rolls per tray = 24 rolls

Total biscuits = 2 trays × 6 biscuits per tray = 12 biscuits

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Answer:

x = 8, y = 15

Step-by-step explanation:

Part (a)

If x and y are inversely proportional, the relationship can be expressed as
\(y \propto \dfrac{1}{x}\\\\\rm{(or \;alternatively\;x \propto \dfrac{1}{y})\\\\}\\\\\)

The above relationship \(y \propto \dfrac{1}{x}\) can be written as an equation:

\(y = \dfrac{k}{x} \codts\cdots(1)\)

where the constant k is known as the constant of proportionality

Part (b)

We know that when x = 12, y = 10

Plugging this into equation (1):

10 = k/12

k/12 = 10

k = 12 x 10

k = 120

So the proportional equation (1) becomes
y = 120/x

We are now given the equation
y = x + 7

Substitute y = 120/x

120/x = x + 7

Subtract 120/x from both sides
0 = x + 7 - 120/x

Multiply by x both sides;
0 = x² + 7x - 120

Or,
x² + 7x - 120 = 0

This is a quadratic equation which we can solve by factoring. There are various techniques. One of them is to find two factors of 120 and see if their sum or difference can be made -7

Factors of 120 are:
\(1,\:2,\:3,\:4,\:5,\:6,\:8,\:10,\:12,\:15,\:20,\:24,\:30,\:40,\:60,\:120\)

Take the two factors, a and b that will add or subtract to -7 and multiply to -120

We see that if we choose a = -15 and b = 8

a + b = -7

and

a x b = -120

The solution to the equation is x = 8 or x = -15

Since we are told that both x and y are positive, we can ignore x = -15 and just state that x = 8 is a solution

If x = 8, substitute this in y = x + 7 to get

y = 8 + 7 = 15

This checks with our original proportionality equation:
y = 120/x = 120/8 = 15

Answer
x = 8, y = 15

Answer:

$3088.75

Step-by-step explanation:

4.25%= .0425
1750 x .0425 = 74.375

74.375 x 18 = 1338.75

1750+1338.75=3088.75

The parent function of a parabola is y = x².

A function is said to be a parent function if it is expressed in the simplest form and satisfies the definition of a particular type of function.

The simplest function that satisfies the definition of a parabola is given by y = x². It is also called quadratic function.

Its graph passes through the origin (0,0) and lies in first and second quadrant.

One or more parabolas can be easily obtained by transforming the parent function of the parabola.

Therefore, the parent function of parabola is given by y = x².

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