help please!!!! it makes so sense

Answer:

95 = p + 20

This is the logical answer

Answer: True

Step-by-step explanation:

Given: The ratio of the number of boys to the number of girls at Liam's school is 4:5.

There are 270 students at his school.

Then, Total boys = \(\dfrac{4}{4+5}\times270=\dfrac{4}{9}\times270=120\)

Total girls =\(\dfrac{5}{4+5}\times270=\dfrac{5}{9}\times270=150\)

Clearly, (Number of girls) > (Number of boys)

Difference =  (Total girls) - (Total boys)

= 150-120

= 30

So,  Statement 3: "There are exactly 30 more girls than boys". is absolutely true.

Answer:

$4

Step-by-step explanation:

40/100=0.4

(10)0.4=4

Answer: <less than >greater than ≥ greater than or equal to ≤ less than or equal to

Step-by-step explanation:

Answer:

i. $3000

ii. $9000

Step-by-step explanation:

25%=1/4, so we find one fourth of 12000, which is 3000, which is how much he lost, and remove that from the price he bought it, and we get the selling price, $9000.

First, let's calculate the total cost if the purchase is done in the local camera shop:

Now, let's calculate the cost if the purchase is done in the mail-order company:

The smaller cost is $188.06, therefore the correct option is the fourth one.

a) The sampling distribution of p can be approximated as a normal distribution with mean μp = .17 and standard deviation σp = .0203.

b) The probability that the sample proportion will be within ±.02 of the population proportion is 0.6778

In statistics, sampling distribution plays a crucial role in estimating the parameters of a population. The sampling distribution helps us to understand the probability distribution of sample statistics that we obtain by taking random samples from a population.

a) In this case, we are interested in the proportion of households that spend more than $100 per week on groceries, denoted by p. We know that the population proportion is p = .17, and a sample of 800 households will be selected from the population.

The central limit theorem states that if the sample size is large enough (in this case, n = 800), then the sampling distribution of p will be approximately normal with a mean of p and a standard deviation of:

σp = √(p(1-p)/n)

where p is the population proportion, and n is the sample size. Plugging in the values, we get:

σp = √(.17(1-.17)/800) = .0203

b) Now, we want to find the probability that the sample proportion will be within ±.02 of the population proportion. That is, we want to find P(.15 ≤ p ≤ .19).

To calculate this probability, we need to standardize the distribution using the z-score formula:

z = (p - μp) / σp

Plugging in the values, we get:

z = (.15 - .17) / .0203 = -0.9867

z = (.19 - .17) / .0203 = 0.9867

Using a standard normal distribution table or calculator, we can find the probabilities corresponding to these z-scores:

P(z ≤ -0.9867) = 0.1611

P(z ≤ 0.9867) = 0.8389

Therefore, the probability that the sample proportion will be within ±.02 of the population proportion is:

P(.15 ≤ p ≤ .19) = P(z ≤ 0.9867) - P(z ≤ -0.9867) = 0.8389 - 0.1611 = 0.6778

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Complete Question:

The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is p = .17 and a sample of 800 households will be selected from the population.

a. Show the sampling distribution of p, the sample proportion of households spending more than $100 per week on groceries.

b. What is the probability that the sample proportion will be within ±.02 of the population proportion?

Answer:

x > 1610

Step-by-step explanation:

;)

Answer:

x > 1610

Step-by-step explanation:

Answer:

There were 423 adult tickets sold.

Step-by-step explanation:

Let x = the number of adult tickets sold

Let x + 65 = the number of student tickets sold

x + x + 65 = 715

2x = 715

x = 357.5

x + 65 = 422.5 (round up)

Answer:

adults=325& students=390

Step-by-step explanation:

let me the tickets for adults be x

for students will be x+65

x+x+65=715

2x+65=715

2x=715-65

2x=650

x=650÷2

x=325

Answer:

Hi! The answer to your question is 1.25

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

radius = √35 mm or 5.916 mm

Explanation:

Here:

Solve for radius:

\(\rightarrow \sf \pi r^2 = 110\)

\(\rightarrow \sf \dfrac{22}{7} r^2 = 110\)

\(\rightarrow \sf r^2 = \dfrac{110(7)}{22} =35\)

\(\rightarrow \sf r = \sqrt{35}\)

Let's see

To determine the variable matrix \(\displaystyle X\) using the equation \(\displaystyle AX=B\), we need to solve for \(\displaystyle X\). We can do this by multiplying both sides of the equation by the inverse of matrix \(\displaystyle A\).

Let's start by finding the inverse of matrix \(\displaystyle A\):

\(\displaystyle A=\begin{bmatrix} 3 & 2 & -1\\ 1 & -6 & 4\\ 2 & -4 & 3 \end{bmatrix}\)

To find the inverse of matrix \(\displaystyle A\), we can use various methods such as the adjugate method or Gaussian elimination. In this case, we'll use the adjugate method.

First, let's calculate the determinant of matrix \(\displaystyle A\):

\(\displaystyle \text{det}( A) =3( -6)( 3) +2( 4)( 2) +( -1)( 1)( -4) -( -1)( -6)( 2) -2( 1)( 3) -3( 4)( -1) =-36+16+4+12+6+12=14\)

Next, let's find the matrix of minors:

\(\displaystyle M=\begin{bmatrix} 18 & -2 & -10\\ 4 & -9 & -6\\ -8 & -2 & -18 \end{bmatrix}\)

Then, calculate the matrix of cofactors:

\(\displaystyle C=\begin{bmatrix} 18 & -2 & -10\\ -4 & -9 & 6\\ -8 & 2 & -18 \end{bmatrix}\)

Next, let's find the adjugate matrix by transposing the matrix of cofactors:

\(\displaystyle \text{adj}( A) =\begin{bmatrix} 18 & -4 & -8\\ -2 & -9 & 2\\ -10 & 6 & -18 \end{bmatrix}\)

Finally, we can find the inverse of matrix \(\displaystyle A\) by dividing the adjugate matrix by the determinant:

\(\displaystyle A^{-1} =\frac{1}{14} \begin{bmatrix} 18 & -4 & -8\\ -2 & -9 & 2\\ -10 & 6 & -18 \end{bmatrix}\)

\(\displaystyle A^{-1} =\begin{bmatrix} \frac{9}{7} & -\frac{2}{7} & -\frac{4}{7}\\ -\frac{1}{7} & -\frac{9}{14} & \frac{1}{7}\\ -\frac{5}{7} & \frac{3}{7} & -\frac{9}{7} \end{bmatrix}\)

Now, we can find matrix \(\displaystyle X\) by multiplying both sides of the equation \(\displaystyle AX=B\) by the inverse of matrix \(\displaystyle A\):

\(\displaystyle X=A^{-1} \cdot B\)

Substituting the given values:

\(\displaystyle X=\begin{bmatrix} \frac{9}{7} & -\frac{2}{7} & -\frac{4}{7}\\ -\frac{1}{7} & -\frac{9}{14} & \frac{1}{7}\\ -\frac{5}{7} & \frac{3}{7} & -\frac{9}{7} \end{bmatrix} \cdot \begin{bmatrix} 33\\ -21\\ -6 \end{bmatrix}\)

Calculating the multiplication, we get:

\(\displaystyle X=\begin{bmatrix} 3\\ 2\\ 1 \end{bmatrix}\)

Therefore, the variable matrix \(\displaystyle X\) is:

\(\displaystyle X=\begin{bmatrix} 3\\ 2\\ 1 \end{bmatrix}\)

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

x is less than or equal to -2

Step-by-step explanation:

Answer:

30 ounces (1 pound 14 ounces)

Please give brainliest!

Hope this helps:)

To find this, we first need to convert 6 lbs into ounces

lb = 16 ounce

6 lbs = 96 ounces!

96-66 = 30

Kevin bought 30 more ounces, or 1 pound and 14 ounces more jelly beans than antonio.

Answer:

5 miles

Step-by-step explanation:

We are looking at triangles LCM and OGM.

Point M is the midpoint of segments LO and CG.

That makes segments CM and GM congruent (side).

Then angles CML and GMO are congruent since they are vertical angles (angle).

Finally, segments LM and OM are also congruent because of the midpoint (side).

By SAS, triangles LCM and OGM are congruent.

Then by CPCTC, segments LC and OG are congruent.

Since OG = 5 miles, then LC = 5 miles.

Answer: 5 miles

Answer:

Step-by-step explanation:

The general equation is

y = 2.49x + 24.99

The number of cones bought is x

The cake cost is 24.99

The total cost is y

===========

So the meaning of (5,37.44) is that she bought 5 cones and 1 cake. Let's just check that out.

Check

y = 2.49*5 + 24.99

y = 12.45 + 24.99

y = 37.44

So the total cost (y) of 5 cones (2.49 each) and 1 cake ($24.99) is 37.44

a. The median of Otter 2 's data is greater than the median of Otter 1's data. b. The variability in the data for Otter 1 is greater than the variability in the data for Otter 2.

c. Liz can conclude that Otter 2 generaily eats more food.

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution.

The median is the value in the middle of a data set, meaning that 50% of data points have a value smaller or equal to the median and 50% of data points have a value higher or equal to the median.

The median for A is 25.5 and 26 for B. This implies that B has higher median than A.

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Answer:

YOUR THE ONE WHO NEEDS TO ASK THE QUESTION

Step-by-step explanation:

The value of the variables m and n are 3/2 and 4 respectively

Noe that quadratic functions are defined as functions having its degree as 2.

The general formula for a quadratic function is expressed as;

ax² + bx + c

Standard form

ax² + bx + c = 0

Given the illustration, we have that the two functions have similar roots.

Then, we have;

The value of n = 4

For the value of m, we represent it thus; (-b/a)

-5x/m = -10x/3

cross multiply the values, we get;

m = 3(-5x)/-10x

m = 3/2

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To approximate the given integral using Riemann sums, we need to divide the region of integration into smaller  sub-rectangles and evaluate the function at the midpoints of each  sub-rectangles.

Given that n = 6 and m = 3, we'll divide the region into 6 subintervals in the x-direction and 3 subintervals in the y-direction.

Let's proceed with the calculations:

Determine the width of each sub-interval in the x-direction:

Δx = (b - a) / n = (5 - (-3)) / 6 = 8 / 6 = 4/3

Determine the width of each sub-interval in the y-direction:

Δy = (d - c) / m = (8 - 7) / 3 = 1 / 3

Construct the sub-rectangles and find the midpoint of each  sub-rectangles:

Subintervals in the x-direction: [-3, -3 + 4/3], [-3 + 4/3, -3 + 8/3], [-3 + 8/3, -3 + 4], [-3 + 4, -3 + 16/3], [-3 + 16/3, -3 + 20/3], [-3 + 20/3, 5]

Midpoints in the x-direction: [-3 + 2/3], [-3 + 4/3 + 2/3], [-3 + 8/3 + 2/3], [-3 + 4 + 2/3], [-3 + 16/3 + 2/3], [-3 + 20/3 + 2/3]

Subintervals in the y-direction: [7, 7 + 1/3], [7 + 1/3, 7 + 2/3], [7 + 2/3, 8]

Midpoints in the y-direction: [7 + 1/6], [7 + 1/3 + 1/6], [7 + 2/3 + 1/6]

Evaluate the function at the midpoints of each  sub-rectangles and multiply by the corresponding  sub-rectangles area:

Approximation of the integral = Σ f(xi, yj) * ΔA

where Σ represents the sum over all  sub-rectangles, f(xi, yj) is the function evaluated at the midpoint of the  sub-rectangles, and ΔA is the area of the sub-rectangles.

Now, substituting the function f(x, y) = (#*+33°y + 3xy? +x") into the approximation formula, we can proceed with the calculations.

Since R = (3,5] × [7,8], which means x ranges from 3 to 5 and y ranges from 7 to 8, we only need to consider the  sub-rectangles that intersect with this region.

Let's calculate the approximation:

Approximation of the integral = f(x1, y1) * ΔA1 + f(x2, y1) * ΔA2 + f(x3, y1) * ΔA3

+ f(x1, y2) * ΔA4 + f(x2, y2) * ΔA5 + f(x3, y2) * ΔA6

where ΔA1, ΔA2, ΔA3, ΔA4, ΔA5, ΔA6 are the areas of the corresponding  sub-rectangles.

Note: Without the specific function values and the definition of the region R, it is not possible to provide the exact calculations and the approximation result. The above steps outline the general procedure to approximate the integral using Riemann sums, but the actual numerical values require the specific function and region information.

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The solution of the system of equations is (2, 1).

Here we have the system of equations:

y = 2x - 3

y = -x + 3

To solve the system of equations graphically, we need to graph both of these lines in the same coordinate axis and then find the point where the lines intersect.

That point will be the solution of the system.

On the image at the end you can see the graph of the system of equations, there we can see that the solution is (2, 1).

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A drill-down report is a type of report that displays a greater level of detail as the user navigates through it.

A drill-down report is a type of report that allows the user to access a greater level of detail as they navigate through it. It is an interactive report that presents a summary of data initially and then allows the user to drill down to more detailed information.

The report provides a visual representation of data that can be explored at different levels of granularity, providing a deeper understanding of the underlying information. Drill-down reports are useful for decision-making because they provide insights into the root causes of issues or trends.

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Answer:

7/12

Step-by-step explanation:

1/3 = 4/12

1/4 = 3/12

3/12 + 4/12 = 7/12

Answer:

(0,6)

Step-by-step explanation:

The y intercept is where the line crosses the y axis or the coordinate where x = 0.

Here, when x is equal to 0, y is equal to 6 meaning that the y intercept is at (0,6)

The equation that has infinitely many solutions is 5(2x + 4) = 10(x + 2).

An equation can have infinitely many solutions when both sides of the equation satisfy the same conditions. The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line. For the given equations it can determine if the equation has infinitely many solutions by simplifying the equation and see if both sides are equal. Hence,

5(2x + 4) = 10x – 12

10x + 20 ≠ 10x - 12

5(2x + 4) = 10(x + 2)

10x + 20 = 10x + 20

5(2x + 4) = 12x

10x + 20 ≠ 12x

5(2x + 10) = 20(x + 1)

10x + 50 ≠ 20x + 20

Hence, 5(2x + 4) = 10(x + 2) has infinitely many solutions.

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The angle between vectors u and v is approximately 43.7 degrees to the nearest tenth of a degree.

To find the angle between two vectors, we can use the dot product formula and the magnitude of the vectors. The dot product of two vectors u and v is given by:

u · v = |u| |v| cos(theta)

where |u| and |v| are the magnitudes of vectors u and v, respectively, and theta is the angle between the vectors.

Given vectors u = <6, 4> and v = <7, 5>, we can calculate their magnitudes as follows:

|u| = sqrt(6^2 + 4^2) = sqrt(36 + 16) = sqrt(52) ≈ 7.21

|v| = sqrt(7^2 + 5^2) = sqrt(49 + 25) = sqrt(74) ≈ 8.60

Next, we calculate the dot product of u and v:

u · v = (6)(7) + (4)(5) = 42 + 20 = 62

Now, we can substitute the values into the dot product formula:

62 = (7.21)(8.60) cos(theta)

Solving for cos(theta), we have:

cos(theta) = 62 / (7.21)(8.60) ≈ 1.061

To find theta, we take the inverse cosine (arccos) of 1.061:

theta ≈ arccos(1.061) ≈ 43.7 degrees

Therefore, the angle between vectors u and v is approximately 43.7 degrees to the nearest tenth of a degree.

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The probability that at least 2 babies out of a cluster of 5 babies will speak tomorrow is 47/128.

To calculate the probability that at least 2 babies out of a cluster of 5 babies will speak tomorrow, we can use the binomial probability formula. The binomial probability formula is given by:

P(X ≥ k) = 1 - P(X < k) = 1 - ∑(i=k-1)^(n) [C(n, i) * p^i * (1-p)^(n-i)]

Where:

P(X ≥ k) is the probability that X is greater than or equal to k

P(X < k) is the probability that X is less than k

n is the number of trials (number of babies in the cluster) = 5

p is the probability of success (probability that a baby speaks) = 1/4

k is the number of successes we are interested in (at least 2 babies speaking)

Let's calculate the probability using this formula:

P(X ≥ 2) = 1 - P(X < 2) = 1 - [P(X = 0) + P(X = 1)]

P(X = 0) = C(5, 0) * (1/4)^0 * (3/4)^(5-0) = 1 * 1 * (3/4)^5 = 243/1024

P(X = 1) = C(5, 1) * (1/4)^1 * (3/4)^(5-1) = 5 * (1/4) * (3/4)^4 = 405/1024

P(X ≥ 2) = 1 - (243/1024 + 405/1024) = 376/1024 = 47/128

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The distance from the center of the circle to the outer edge is called radius of the circle.

Circle is a segment of line connected to it itself. It is a 2 dimensional structure measuring 360°. The outer edge of the circle is called circumference. Now, an interesting fact about the circle is that circumference is equi distant from the radius.

Therefore, be it any point on the circumference, it will be at the same distance from radius. If the radius is further extended to meet the opposite side of circumference, it will become a diameter. The total length of diameter however decreases as we move from center to top of the circle.

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