Solve for x. A. 24 B. 32 C. 22 D. 35

The z value when making 98% confidence interval for p will be 2.33.

When making a confidence interval for a proportion, we use the standard normal distribution, and the value of z depends on the level of confidence we want to achieve.

In this case, we want to make a 98% confidence interval, which means that we want to be 98% confident that the true proportion falls within our interval.

To determine the value of z, we can use a z-table or a calculator. The z-value corresponding to a 98% confidence level is 2.33. Therefore, we use 2.33 as our value of z when making a 98% confidence interval for p.

It is not impossible to make a 98% confidence interval, and the value of z is not 2.88. The z-value of 2.88 corresponds to a much higher confidence level of approximately 99.5%. Using a higher confidence level means we can be more confident that our interval contains the true proportion, but it also means that our interval will be wider, which reduces its precision.

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Answer:

9

Step-by-step explanation:

To find the answer to this question, we have to find 3/4 of 12

To do this, we need to do 12 divide by 4, then that answer multiplied by 3...

This means that she took 9 drinks!

Hope this helps, have a lovely day! :)

Answer:

9

Step-by-step explanation:

\( multiply \: \\ = \frac{3}{4} \times 12\)

\( = 9\)

Therefore, sally took 9 drink for her party.

Pls like and mark as brainliest if it helps!

Answer:

Step-by-step explanation:

Algebraic expressions tend to have atleast one unknown variable in it. In order to solve the expression we need to assign a fixed value to that variable or isolate it if the expression is equal to another value. For example, in the following expression we have the variable x, if we give it a value of 5 we simply solve like a regular expression...

5x + 3

5(5) + 3

25 + 3

28

Therefore, if we swap the variable x for the value of 5 we would get a value of 28 in this algebraic expression.

7800 voters voted for Addair.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

If 39% of the sample population voted for Addair.

total people= 20, 000

So, the people who voted for Addair

= 20000 x 39%

= 20000 x 39/100

= 200 x 39

= 7800

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Answer:

The cost of a sheet metal per square foot is $30

Step-by-step explanation:

Given

Size of Sheet Metal = 8.2ft squared

Used Sheet Metal = 3.5ft squared

Worth of leftover sheet = $141

Equation: \(8.2x - 3.5x = 141\)

Required

Find the cost per square foot of the sheet metal

Solving for x in the above equation will give the cost per square foot of the sheet metal.

\(8.2x - 3.5x = 141\)

\(4.7x = 141\)

Divide both sides by 4.7

\(\frac{4.7x}{4.7} = \frac{141}{4.7}\)

\(x = \frac{141}{4.7}\)

\(x = 30\)

Hence, the cost of a sheet metal per square foot is $30

Answer:

9.42

Step-by-step explanation:

\(p = \pi \: r \\ \)

=3.14 × 3ft

=9.42 ft

well, the amount of completely satisfied customers is 1820.

now, all folks surveyed were 600 + 180 + 1820 = 2600.

if we take 2600 as the 100%, what is 1820 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 2600 & 100\\ 1820& x \end{array} \implies \cfrac{2600}{1820}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 10 }{ 7 } ~~=~~ \cfrac{ 100 }{ x }\implies 10x=700\implies x=\cfrac{700}{10}\implies x=70\)

Answer:

Partial Answer

A. k = (3/4)x - 2

Step-by-step explanation:

A. slope is the number you multiply x by. y intercept is added or subtracted after x is multiplied by slope.

Answer:

1. x

2. 8-2x

3. width times 8-2x times x

4. Don't understand.

5. I don't know?

6. The volume is (6 - (2x))(8 - (2x))(x).

Step-by-step explanation:

The variables on one side of the equation must be brought together, and the numbers on the other side must be brought together, in order to solve an equation with the same variable on both sides.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

What makes an equation linear?

When a linear equation is graphed, it always produces a straight line since each term in the equation has an exponent of 1. This is the basis for the term "linear equation" being used to describe it.

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To show that the pmf of W = X + Y is given by the convolution formula h(w) = ∑f(x)g(w-x) for w = 0, 1, 2, ..., let's follow these steps:

Step 1: Express the probability of W = w.
We need to find the probability of W = w, which can be written as P(W = w) = h(w).

Step 2: Recognize the mutually exclusive events.
As hinted, there are w+1 mutually exclusive events corresponding to (x, y) pairs, where x = 0, 1, 2, ..., w and y = w - x. Since X and Y are independent, the probability of each pair is the product of their individual probabilities: P(X = x) * P(Y = w - x).

Step 3: Use the independence of X and Y.
Since X and Y are independent, we can use their respective pmfs, f(x) for X and g(y) for Y. Thus, the probability of each pair becomes f(x) * g(w - x).

Step 4: Sum over all mutually exclusive events.
Now, we sum the probabilities of all these mutually exclusive events to get the probability of W = w:
h(w) = ∑f(x)g(w-x) for x = 0, 1, 2, ..., w.

So, the pmf of W = X + Y is given by the convolution formula h(w) = ∑f(x)g(w-x) for w = 0, 1, 2, ....

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To show that the pmf of W = X+Y is given by the convolution formula h(w)=\sum_{x=0}^{w}f(x)g(w-x), w=0, 1, 2, ... , we will follow these steps:
Step 1: We want to find the probability h(w) = P(W = w), where W = X + Y.
Step 2: Rewrite h(w) in terms of X and Y probabilities.
h(w) = P(X + Y = w)
Step 3: Apply the independence property of X and Y. Since X and Y are independent, we know that the joint probability mass function (pmf) is the product of their individual pmfs: P(X=x, Y=y) = f(x)g(y).
h(w) = \sum_{x=0}^{w} P(X=x, Y=w-x)
Step 4: Sum over all possible values of X that satisfy the condition.
h(w) = \sum_{x=0}^{w} f(x)g(w-x)
So, the pmf of W = X+Y is given by the convolution formula h(w)=\sum_{x=0}^{w}f(x)g(w-x), w=0, 1, 2, ...

Explanation: What is Probability: Probability is a branch of mathematics in which the chances of experiments occurring are calculated. It is by means of a probability, for example, that we can know from the chance of getting heads or tails in the launch of a coin to the chance of error in research.To understand this branch, it is extremely important to know its most basic definitions, such as the formula for calculating probabilities. Express the probability of the desired event: h(w) = P(W = w), Rewrite h(w) in terms of X and Y probabilities, Apply the independence property of X and Y, Sum over all possible values of X that satisfy the condition.

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Frequency distribution  is a way to organize qualitative data into categories and record the number of observations in each category.

Differentiate between frequency distribution and relative frequency ?

A frequency distribution lists how frequently each category of data occurs, but a relative frequency analysis lists how frequently each types of information occurs.

One approach to organise data is to use a "frequency distribution," which can be done by listing the data, placing it in a table, or displaying it in a graph. Then, the list's entries (distinct values) are counted in terms of how frequently they have occurred.

Define relative frequency distribution

A "relative frequency distribution," on the other hand, refers to the percentage of the total number of observations that fall into a certain group. Divide each frequency by the total amount of data in the sample to obtain this.

what is qualitative data ?

Quantitative data are counts or measures, whereas qualitative data describe categories. Examples of qualitative data include eye colours and shoe brand names in a consumer survey. Examples of quantitative data are student heights and test results.

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Answer:

1.5

Step-by-step explanation:

Answer:

Improper Fraction: \(\frac{10}{6}\)

Proper Fraction: \(1\frac{4}{6}\)

Simplified Proper Fraction: \(1\frac{2}{3}\)

Step-by-step explanation:

\(\frac{5}{6} + \frac{2}{3}\) Is our equation... first we must find a common denominator! Let's take a look...

6: 1, 6, 12

3: 1, 3, 6

We see that both numbers get to 6 so we use that as our common denominator. Now we plug that in...

\(\frac{5*1}{6*1} +\frac{2*2}{3*2}\)

We get...

\(\frac{5}{6} +\frac{4}{6} = \frac{10}{6}\)

Now if you want to leave it as an improper fraction your answer will be \(\frac{10}{6}\). However, if you want you answer to be a proper fraction your answer is \(1\frac{4}{6}\) which can be simplified further to,\(1\frac{2}{3}\).

Whew! What a toughie! We showed that math problem!

\(\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}\)

A linear function is an equation of the form:

\(\sf{y=mx+b}\)

▪ \(\sf{m= \: slope}\)

▪ \( \sf{b= \: y-intercept}\)

First, pick any two pairs of points from the table.

\(\small\longrightarrow \sf{(x_1,y_1)(-1.13)}\)

\(\small\longrightarrow \sf{(x_2,y_2)=(0,10)}\)

Using these points, find the slope.

\(\small\longrightarrow \sf{m= \dfrac{y _{2 } - y_1}{x_2-y_1} }\)

When x=0, y=10, therefore, the y-intercept, b=10.

\(\leadsto\) Substitute m=-3 and b=10 into the slope-intercept form given above:

\(\small\longrightarrow \sf{m=m = \dfrac{10 - 13 }{0 -( - 1) } = - \dfrac{3}{1} = - 3}\)

▪ \(\small\longrightarrow \sf{y= -3x+10}\)

\(\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}\)

\(\large\boxed{\bm{y= -3x+10}}\)

Answer: x ≤ 10

Step-by-step explanation:

20 + 13x ≤ 150

13x ≤ 150 - 20

13x ≤ 130

x ≤ 130 ÷ 13

x ≤ 10

Answer:

y = 0

Step-by-step explanation:

the midline is positioned midway between the maximum and minimum values of the function.

maximum = 0.5 and minimum = - 0.5 , then

y = \(\frac{0.5-0.5}{2}\) = \(\frac{0}{2}\) = 0

the equation of the midline is y = 0 ( that is the x- axis )

Answer:

y=0

Step-by-step explanation:

y = 0.5−0.52\(0.5-0.5)(2)

2

0.5−0.5

= -0.02/0

= 0

The midline is y=0

The graph of function \($f$\) is a parabolic curve and a linear decreasing function, while the graph of \($f^{-1}$\) is the reflection of \($f$\) over the line \($y = x$\).

(A) The graph of function \($f$\) can be sketched as follows:

- For \($0 \leq x \leq 2$\), the graph is a parabolic curve opening upward, passing through the point \((0,0)$ and $(2,4)$\).

- For \($2 < x \leq 4$\), the graph is a linear decreasing function, starting from \($(2,8)$\) and ending at \($(4,6)$\).

The domain of \($f$\) is \($[0,4]$\) and the range is \($[0,8]$\).

(B) The graph of \($f^{-1}$\) can be sketched by reflecting the graph of \($f$\) over the line \($y = x$\). The domain of \(f^{-1}$ is $[0,8]$\) and the range is \($[0,4]$\).

(C) The description of \($f^{-1}$\) as a piecewise function is:

\($f^{-1}(y) = \begin{cases} \sqrt{y} & \text{if } 0 \leq y \leq 4 \\10 - y & \text{if } 4 < y \leq 8 \\\end{cases}$\)

(D) The point at which \($f$\) and \($f^{-1}$\) intersect is \($(4,4)$\).

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Step-by-step explanation:

I think it's wrongly labelled

but lemme adjust it and get you back on track

this is a quadrilateral which angles sum upto 360°.

this hold when <D=84°,<N=74° <M=82 and <L=3x+20

84+74+82+3x+20=360

3x+260=360

3x=100

x=100/3

x=33. 3°

The probability that the unfair coin lands heads at least once in four tosses is approximately 0.8229.

To calculate the probability, we can use the complement rule. The complement of landing heads at least once is the event of landing tails in all four tosses.

The probability of landing tails in a single toss is 1 - 0.3 = 0.7. Since the coin tosses are independent events, we can multiply the probabilities together for all four tosses:

P(tails in all four tosses) = 0.7 * 0.7 * 0.7 * 0.7

= 0.2401

To find the probability of landing heads at least once, we subtract the probability of landing tails in all four tosses from 1:

P(heads at least once) = 1 - P(tails in all four tosses)

= 1 - 0.2401

= 0.7599

Rounding the answer to four decimal places, the probability is approximately 0.8229.

The probability that the unfair coin lands heads at least once in four tosses is approximately 0.8229.

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Answer:

Step-by-step explanation:

The position formula for this is actually

\(s(t)=-16t^2+64\)

It says, in not so may words, that the object was dropped under the influence of gravity from a height of 64 feet. When it hits, the ground, it will not be above ground at all anymore...it will be ON the ground and have a height of 0. Therefore, if we set the position function equal to 0 and solve for t, we are finding out how long it will take for the object to hit the ground.

\(0=-16t^2+64\) and

\(16t^2=64\) and

\(t^2=4\) and

t = 2

It takes 2 seconds for the object to hit the ground from 64 feet up.

We have two right-angled triangles that share a common side, with side lengths 6 and 10. Let's label the sides of the triangles as follows:

Triangle 1:

Side adjacent to the right angle: 6 (let's call it 'a')

Side opposite to the right angle: x (let's call it 'b')

Triangle 2:

Side adjacent to the right angle: x (let's call it 'c')

Side opposite to the right angle: 10 (let's call it 'd')

Using the Pythagorean theorem, we can write the following equations for each triangle:

Triangle 1:\(a^2 + b^2 = 6^2\)

Triangle 2: \(c^2 + d^2 = 10^2\)

Since the triangles share a common side, we know that b = c. Therefore, we can rewrite the equations as:

\(a^2 + b^2 = 6^2\\b^2 + d^2 = 10^2\)

Substituting b = c, we get:

\(a^2 + c^2 = 6^2\\c^2 + d^2 = 10^2\)

Now, let's add these two equations together:

\(a^2 + c^2 + c^2 + d^2 = 6^2 + 10^2\\a^2 + 2c^2 + d^2 = 36 + 100\\a^2 + 2c^2 + d^2 = 136\)

Since a^2 + 2c^2 + d^2 is equal to 136, we can conclude that x (b or c) is between 11 and 12

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1) Gathering the data

P = 19,000

rate = 0.6% or 0.006

Period : 7 years

A =?

2) Let's plug into the formula below:

3) So the answer is:

Therefore, the slope of the line passing through the points (0, 3) and (2, 6) is 3/2.

In mathematics, the slope refers to the measure of steepness or inclination of a line. It is defined as the ratio of the vertical change (rise) between two points on the line to the horizontal change (run) between those points. In other words, the slope of a line is the change in y divided by the change in x between any two points on that line. The slope can be positive, negative, or zero, and it determines the direction and the steepness of the line. The slope is an important concept in algebra, geometry, and calculus, and it is used to describe many real-world phenomena, such as the velocity of an object, the rate of change of a function, and the growth or decline of a population.

Here,

To find the slope of the line passing through the points (0, 3) and (2, 6), we can use the formula:

slope = (change in y) / (change in x)

So, we have:

slope = (6 - 3) / (2 - 0)

slope = 3 / 2

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we have the expression

Remember that

substitute

therefore

a=6

b=2

Answer:

Which one have same variable gather or decrease up

Step-by-step explanation:

2x^2-4.6x^2=1.4x^2

-7x+7x=0

1.4x^2+2<0

x<0

Answer:

Step-by-step explanation:

The common ratio that Yui should use in her recursive formula is 1.05. This is because each month's total is 5% greater than the previous month's total, which can be represented as 1 + (0.05) = 1.05.

Answer:

D

Step-by-step explanation:

You just have to expand and you'll get the answer.

The test statistic depends on the specific hypothesis test being conducted.

In general, a test statistic is a value calculated from the sample data that is used to assess the likelihood of observing the data under the null hypothesis. It is used to make a decision about whether to reject or fail to reject the null hypothesis. The choice of test statistic depends on the specific hypothesis being tested and the nature of the data.

To determine the test statistic in a given hypothesis test, it is necessary to specify the null hypothesis, the alternative hypothesis, and the appropriate statistical test being used. This information is crucial in calculating the test statistic and interpreting its significance. Without these details, it is not possible to provide a specific test statistic in this context.

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The complete question is:

A software company is interested in improving customer satisfaction rate from the 75% currently claimed. The company sponsored a survey of 152 customers and found that 120 customers were satisfied. What is the test statistic z?