-1.6 < y -6.4 solve the inequality for y

Answer:

7 kilometers per litre

Step-by-step explanation:

Take the distance and divide by the number of litres

28 kilometers/ 4 litres

7 kilometers per litre

Answer:

Step-by-step explanation:

Given room looks like a rectangular room.Let w be the wide and l be long of the rectangular room respectively.Given,w=10 feet and l=24 feet.

we know area of the rectangular room= l*w

So,area=10*23

area=230 sq.feet

Given,cost of trim=$0.85 per foot

So,total cost =230* 0.85

=195.5

So,Jennifer charges $195.5 to buy enough

Answer:

Step-by-step explanation:

Let the side be s and diagonal be d.

The relationship between the side and diagonal of a square is:

Substitute the value of s to find d:

Answer:

1. 3 themes : space, safari, comics

2. 2 locations : skating rink, park

3. 3 days of the week : Friday, Saturday, Sunday

4. A safari theme at the skating rink on Saturday.

A comics theme at the park on Friday.

5. 6 different possible outcome are in the sample space.

I'm not sure if it's right but I hope it helps.

Answer:

4:3

Step-by-step explanation:

4*4= 16

4*3= 12

4:3 is the answer. Hope this helps! (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

Have a nice day! ( ﾟдﾟ)つ Bye

Answer:

3/4

Step-by-step explanation:

12 divided by 4 is 3

16 divider by 4 is 4

= 3/4

Answer:

m∠5 = 44°; m∠7 = 44°

Step-by-step explanation:

Angle 4 and 1 are supplementary (they make up a line) and their sum is equal to 180 degrees.

Subtracting the measure of angle 4 from 180 degrees gives the measure of angle 1. (180 - 136 = 44).

So Angle 1's measure is 44 degrees.

According to the Corresponding Angle Postulate, Angle 1 and Angle 5 are congruent. Therefore, m∠5 = 44°

According to the Vertical Angles Postulate (if two angles are vertical, they are congruent), ∠5 ≅ ∠7, meaning that m∠5 = m∠7.

So m∠7 = 44°

The length of the tunnel is approximately 205.6 meters to the nearest tenth.

What is Pythagoras Theorem?

Pythagoras Theorem is the way in which you can find the missing length of a right angled triangle. The triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).

Pythagoras is in the form of;

       a²+b²=c²

Here's one way to find the length of the tunnel:

1) Draw a diagram to represent the situation

2) Draw the perpendiculars from the surveyor to each entrance, and label the height of the triangle formed by each entrance and the surveyor as h1 and h2, respectively

3) Use trigonometry to find h1 and h2:

h1 = 243 * sin(47) = 160.1

h2 = 186 * sin(27) = 105.8

4) Find the horizontal distance between the two entrances, which is the length of the tunnel, by using the Pythagorean theorem:

\(d = \sqrt{(h1^2 + h2^2) }\\\\ d = \sqrt{(160.1^2 + 105.8^2)}\\\\ d = 205.6\)

So, The length of the tunnel is approximately 205.6 meters to the nearest tenth.

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The probability that the item was produced by machine m1 given that it was good is approximately 0.202 or 20.2%.

To determine the probability that an item was produced by machine m1, we must first compute the overall probability of producing a good item, and then the probability that the item was produced by machine m1.Assuming that the probabilities of producing good items from each of the three machines are independent, the probability of producing a good item is:P(good) = P(good | m1)P(m1) + P(good | m2)P(m2) + P(good | m3)P(m3)Where:P(good | m1) = 1 - 0.01 = 0.99 (probability of producing a good item from machine m1)P(good | m2) = 1 - 0.02 = 0.98 (probability of producing a good item from machine m2)P(good | m3) = 1 - 0.03 = 0.97 (probability of producing a good item from machine m3)P(m1) = 0.20 (probability of producing an item from machine m1)P(m2) = 0.30 (probability of producing an item from machine m2)P(m3) = 0.50 (probability of producing an item from machine m3)Therefore:P(good) = (0.99)(0.20) + (0.98)(0.30) + (0.97)(0.50) = 0.9756Now, to compute the probability that the item was produced by machine m1 given that it was good, we use Bayes' theorem:P(m1 | good) = P(good | m1)P(m1)/P(good) = (0.99)(0.20)/0.9756 = 0.202Thus, the probability that the item was produced by machine m1 given that it was good is approximately 0.202 or 20.2%.

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The value of polynomial for x = 2 that is f(2) will be 32.  

In many branches of mathematics and science, polynomials are used. For instance, they are used to define polynomial functions, which show up in settings ranging from basic chemistry and physics to economics and social science.

They are also used in calculus and numerical analysis to approximate other functions. Polynomial equations are used to form these functions. Polynomial rings and algebraic varieties, two fundamental ideas in algebra and algebraic geometry, are constructed in advanced mathematics using polynomials.

We have given polynomial f(x)=3x²8x+4

We have to find the value of f(2

We have to find the value of polynomial for x = 2

So for finding this value we have to just put x = 2 in polynomial

So f(2) will be

So the value of polynomial for x = 2 will be 32

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As the spacing between joists increases, the maximum span for any board size will B. decrease only. This is because the wider the spacing between joists, the more weight and pressure will be placed on the boards that are spanning the gap between them.

This means that the boards will need to be stronger in order to support the weight without bending or breaking.
If the boards are not strong enough, they may sag or bow under the weight, which can create safety hazards or damage to the structure. Therefore, it is important to use the appropriate board size and spacing between joists for any given application in order to ensure structural integrity and safety.
In summary, increasing the spacing between joists will result in a decrease in the maximum span for any board size, as the boards will need to be stronger in order to support the weight and pressure. It is important to choose the right board size and joist spacing to maintain the structural integrity and safety of the building or structure.

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Cost of dozen eggs = 72 cents

Cost of 1 egg = 72÷12

= 6cents

Please click thanks and mark brainliest if you like

The given equations are as follows

\(\begin{aligned} A.&&\dfrac x4+1&=-3 \\\\ B.&&x+4&=-12 \end{aligned}\)

(1) First, multiply both sides of equation A by 4, we have

\(4\times\left(\frac{x}{4} +1\right)=4\times(-3)\)

Then, rewrite the left-hand side of the above equation by using the distributive property, we have

\(4\times\frac{x}{4}+4\times1=4(-3)\)

\(\Rightarrow x+4=-12\)

This is the required equation B.

In this way, first use choice D: Multiply both sides by the same non-zero constant, i.e 4.

Then, apply choice A to solve the equation, i.e using the distributive property to solve the left-hand side of the equation.

(2) In the previous answer, equation B has been derived from equation A, hence, both the equations are equivalent.

As both the equations are the same, so both will have the same solution.

Yes, they have the same solution.

Let h be the hours and y the total charge. Then, for Happy Paws, we have

and for Woof Watches, we have

Then, we need to solve these equations.

Solving by elimination method.

If we multiply by -1 the first equation, we have the equivalent system of equations:

If we add both equations, we obtain

because y-y=0. Then, it yields,

If we move -9 to the left hand side as -9, we have

Hence, to find the total cost, we must substitute this values into one of the 2 equations. If we choose the first one, we obtain

Then, the answers are:

The equation is

and, the total cost of the services will be equal at 7.2 hours

The statement that "If the sum of two numbers is not zero, then one number is not the additive inverse of the other" is the inverse of the conditional statement.

Conditional statement is defined as the two fundamental components that make up a conditional statement are Hypothesis (if) and Conclusion (then).

In the given problem,

Conditional Statement: "If the sum of two numbers is zero, then one number is the additive inverse of the other"

Hypothesis: "If the sum of two numbers is zero"

The inverse of a conditional statement is when both the hypothesis and conclusion are negated;

The inverse of conditional Statement: "If the sum of two numbers is not zero, then one number is not the additive inverse of the other"

Hence, the statement that "If the sum of two numbers is not zero, then one number is not the additive inverse of the other" is the inverse of the conditional statement.

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The volume of the solid shape where the cone and half sphere are hollow is 1507.2 in³

A cone is a 3D shape with a circular base and a curved surface that narrows to a point, while a cylinder is a 3D shape with two parallel circular bases and a curved surface.

As we know the volume formula for cylinder, cone and semi sphere, find the volumes;

First find the volume of cylinder with height =23 and radius = 6 in.

Volume of cylinder = πr²h = 3.14 × (6)² × 23 = 2,599.92 in³

Volume of cone = 1/3 × πr²h = 1/3 × 3.14 × (6)² × 17 = 640.56 in³

Volume of hemisphere =2/3 × πr³ = 2/3 × 3.14 × (6)³ = 452.16 in³

Then, volume of solid shape = 2599.92 - 640.56 - 452.16 = 1507.2 in³

Volume of solid shape = 1507.2 in³

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The most suitable option is Spearman's rho, which is applicable for assessing the correlation between two ordinal variables like gender (male or female) and height. The correct answer is D).

When measuring the relationship between gender and height, Spearman's rho is the appropriate correlation coefficient to use. This is because gender is a categorical variable with two distinct categories (male and female), and height is an ordinal variable that can be ranked.

Spearman's rho is designed specifically for assessing the correlation between two ordinal variables, making it suitable for this scenario. It quantifies the monotonic relationship between gender and height, considering the rank order of the data rather than the actual values.

It is a non-parametric measure of correlation that does not assume a linear relationship, making it robust to violations of normality or linearity assumptions. By using Spearman's rho, we can effectively evaluate the association between gender and height. The correct option is D).

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Answer:

( x + 2 )² + ( y - 6 )² = 49

Step-by-step explanation:

→ Write the form of an equation of a circle

( x - a )² + ( y - b )² = r²

→ Substitute in the centre remembering to switch the signs

( x + 2 )² + ( y - 6 )² = r²

→ Substitute in radius

( x + 2 )² + ( y - 6 )² = 49

Answer:

\(\frac{7}{9}\)

Step-by-step explanation:

\(\frac{14:2}{18:2} =\frac{7}{9}\)

The following formula is used: P(n,r) = n! / (n - r)! to the calculate  the number of permutations.

The formula used to calculate the number of permutations when a permutation is any arrangement of r objects

selected from n possible objects is P(n,r).

P(n,r) is the formula used to calculate the number of permutations.

Let us try to understand the concept of permutations first.

Permutations refer to the different ways of arranging elements.

It is represented as nPr called as n-permute-r.

Here, n represents the total number of elements present, and r represents the number of elements taken for each

permutation.

To calculate the number of permutations, the following formula is used:

P(n,r) = n! / (n - r)!

Where n! is equal to n-factorial that refers to the product of all numbers starting from 1 up to n.

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The estimated crop yield from the simulation is 443 (option b).

To estimate the crop yield from the given random numbers, we need to assign a specific meaning to each random number. Let's assume that each random number represents the crop yield for a particular year.

Given random numbers: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81

To find the estimated crop yield, we sum up all the random numbers:

37 + 23 + 92 + 01 + 69 + 50 + 72 + 12 + 46 + 81 = 443

Therefore, the estimated crop yield from the simulation is 443. The correct option is b.

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\(2A +B = -2 \cdot (2z +8 -2z-4) = -2 \cdot 4 = -8\)

Answer:

r = 14 cm

Step-by-step explanation:

Circumference = 2πr = 88

=> r = 88 / 2 x 22/7

=> r = 88 x 7 / 44

=> r = 2 x 7

=> r = 14 cm

Therefore , the solution of the given problem of equation comes out to be k1 = - 0.67 and k2 = -0.1.

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A scientific statement that verifies the equality of two formalisms is known as an equation in algebra. For instance, the pieces ptdc + 6 and 12 are separated by an equal sign in the solution obd + 6 = 12. The relationship between the two phrases on either flank of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 4x – 4 = 0.

Here,

If y varies in this case simply also as square of x

k is the proportionality constant, and

y = kx² in mathematics.

Considering y = -54 and x = 9,

y = kx²

k = y/ x²

k = -54/ 9²

k = -54/81

k1 = - 0.67

Moreover, if y=-11/3 and x=6,

k = y/x²

k = -3.667/ (6)²

k = -3.667/36

k2 = -0.1

Therefore , the solution of the given problem of equation comes out to be k1 = - 0.67 and k2 = -0.1.

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Answer:

C. 39/48 = 81%

Step-by-step explanation:

To determine the percentage of females who only said they like cats using the given two-way table, we need to find the number of females who selected "cats" only and divide it by the total number of females surveyed. We can then multiply the result by 100 to get the percentage.

According to the provided two-way table:

Number of females who only said they like cats = 39

Total number of females surveyed = 48

To calculate the percentage:

Percentage of females who only said they like cats = (Number of females who only like cats / Total number of females surveyed) * 100

Percentage of females who only said they like cats = (39 / 48) * 100 ≈ 81.25%

Therefore, the correct option is:

C. 39/48 = 81%

I don't know  sorry kid

Step-by-step explanation:

Answer:

x=17.17

Step-by-step explanation:

follow the photo to get answer for x, i don't know about the rest of them sorry

Answer:

No, because a right angle must not have the least 90°/. degrees c

Answer:

80

Step-by-step explanation:

edge 2023

Answer:

9

Step-by-step explanation:

54÷6= 9

27÷3= 9

18÷2= 9

hence the answer is 9.