Write an inequality for which 3, -4 and 2,300 are solutions ​

The statements that are true for Trapezoid WXYZ are:

We are told that;

Shape is a trapezoid WXYZ.

Now, In a trapezoid, one pair of opposite sides are parallel and parallel lines have the same slope.

Lastly, the slope of line parallel to x axis is 0 and so If the line starts at the bottom left and goes towards the top right it has negative slope. Thus, all the statements that are true for Trapezoid WXYZ are:

Complete question is;

Four lines are drawn on a coordinate plane to form trapezoid WXYZ. Which statements are true about the lines? Select all that apply.

Line WZ has the same slope as line XY.

Line YX has a greater slope than line ZY.

Line XW has a lesser slope than line YZ.

Line ZW has the same y-intercept as line WZ.

Line XY has a greater y-intercept than line XW

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The number of quarts of paint did mieko use in the living room is A = 3 quarts

Given data ,

Mieko bought 2 gallons of paint. she used 1/4 of the paint on her bedroom, 3 quarts on the hallway, and the rest of the paint in the living room

Now , on simplifying the equation , we get

Two gallons of paint is equal to 8 quarts (2 x 4 = 8)

Mieko used 1/4 of the paint on her bedroom, which is equal to 2 quarts (1/4 x 8 = 2)

She used 3 quarts of paint on the hallway

Thus, Mieko used a total of 2 + 3 = 5 quarts of paint on the bedroom and hallway

Therefore , she used 8 - 5 = 3 quarts of paint in the living room

Hence , the number of quarts is A = 3 quarts

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Answer:

25/8 in decimal form is 3.125.

Step-by-step explanation:

I hope this helps! :)

The probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order is 0.2917.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

A.) The probability that she will NOT randomly take out two oranges in a row,

Probability = 1 - (5/12)² = 0.8264

B.) The probability that she will NOT randomly take out two grapefruits in a row,

Probability = 1 - (4/12)² = 0.8264 = 0.8889

C.) The probability that she will NOT randomly take out two apples in a row,

Probability = 1 - (3/12)² = 0.8264 = 0.9375

D.) The probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order,

Probability = (7/12) × (9/12) × (8/12) = 0.2917

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Answer:

the two selected are correct.

Step-by-step explanation:

A relation is a function only if it relates each element in its domain to only one element in the range. When you graph a function, a vertical line will intersect it at only one point. You can determine whether each element of the domain is paired with exactly one element of the range. For example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function. The best way to find out whether an equation represents a function or not is by graphing the equation and then applying the vertical line test. Graph the two-variable equation on graph paper. For a straight line this means graphing two or more points on the line and connecting the dots.

Answer:

[tex](5v + 2)(v - 5)[/tex]

Step-by-step explanation:

Hello!

The expression is written in the form of [tex]ax^2 + bx + c[/tex]

Let's factor by grouping:

[tex]ac = -50[/tex]

The sum of the factors of -50 should add up to -23.

-25 and 2 work for this.

Expand and factor:

The factored expression is [tex](5v + 2)(v - 5)[/tex]

Answer:

Should be 60°

Step-by-step explanation:

Since each interior angle in an octagon is 120°, you would subtract 120° from 180° (which is the angle of a line). This would get you 60 °.

Answer:

the second one

Step-by-step explanation:

just looking at the y values you get

-24y + 32y so that will give u +8y , there is only one answer with that

Answer:

No but on a calculator it will just be rounded up. If 0.99999 was 1, maths would be pretty much useless.

Answer:

no the value tends to go to 1 but it is not exactly one.

Answer:

Area=18ft^3 Surface Area=44ft^2

Step-by-step explanation:

The formula for area of a rectangular prism is A=lwh. So you just plus that in

Answer:

Volume = 18 cubic feet
Surface Area = 44 square feet
Double width = Double the space

Step-by-step explanation:

Please see attached explanations.

Surface area is the area (one side multiplied by another) of every side of the storage box, added together.
I have labeled each unique pair of sides as a, b, and c. That is top and bottom, left and right side, and front and back side.

Volume is the length multiplied by the width multiplied by the height.

By doubling the width, you are doubling the size of the box in that given direction. You can prove this mathematically by making the width twice of what it was and finding volume again.

Answer:

[tex]y=\dfrac{1}{2}(x+5)^2-3[/tex]

Step-by-step explanation:

Translations

For [tex]a > 0[/tex]

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

Parent function

[tex]y=-x^2[/tex]

Reflected in the x-axis

[tex]-f(x) \implies y=-(-x^2)\implies y=x^2[/tex]

Compressed vertically by a factor of 1/2

Multiply the whole function by the given scale factor:

[tex]\dfrac{1}{2}f(x)\implies y=\dfrac{1}{2}x^2[/tex]

Translated 3 units down

Subtract 3 from the whole function:

[tex]f(x)-3 \implies y=\dfrac{1}{2}x^2-3[/tex]

Translated 5 units left

Add 5 to the variable of the function:

[tex]f(x+5) \implies y=\dfrac{1}{2}(x+5)^2-3[/tex]

To sketch the parabola

Vertex = [tex](-5, -3)[/tex]

Axis of symmetry:  [tex]x = -5[/tex]

Plot points:

[tex]x=-9 \implies \dfrac{1}{2}(-9+5)^2-3=5 \implies (-9,5)[/tex]

[tex]x=-7 \implies \dfrac{1}{2}(-7+5)^2-3=-1 \implies (-7,-1)[/tex]

[tex]x=-3 \implies \dfrac{1}{2}(-3+5)^2-3=-1 \implies (-3,-1)[/tex]

[tex]x=-1 \implies \dfrac{1}{2}(-1+5)^2-3=5 \implies (-1,5)[/tex]

======================================================

Work Shown:

(160 with blue eyes)/(500 total) = (x with blue eyes)/(2500 total)

160/500 = x/2500

x = 2500*(160/500)

x = 800

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

Another approach:

160/500 = 0.32 = 32% of the first group has blue eyes

Assuming this percentage is the same for any group, then,

32% of 2500 = 0.32*2500 = 800 people of the second group are estimated to have blue eyes, of the 2500 total.

The possible orders in which Elliott can do these tasks is 24

Permutation is defined as the number of ways r number of objects can be arranged in total n number of objects.

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

As Elliot have 4 tasks to do practices the piano (A), walks his dog(B), does his homework(C), and cleans his room(D)

4 Task can be done in 4! ways = 4 * 3 * 2 * 1 = 24 ways

ABCD ABDC

ACBD  ACDB

ADBC ADCB

This is for when Elliot does piano first (A)and then walks his dog(B), does his homework(C), and cleans his room(D) .

Similarly for other 3 works , total 24 possible orders can be followed.

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(3x-2)^2

squares area is 2 times its side length, since all the sides are the same. if the side length is 3x-2, take its second power

Vertex is located over the center of the base of a regular pyramid.

Vertex angle is defined as the angle formed by two lines or rays that intersect at a point. These two rays make the sides of the angle.

Here,  Vertex is the point which is located over the center of the base of a regular pyramid.

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Step-by-step explanation:

please mark me as brainlest

Answer: x = 4/3

Step-by-step explanation: I just answered the answer

Hey there!

[tex] \displaystyle{\orange{\boxed{\bold{\green{d = -5}}}}}[/tex]

[tex] \\ [/tex]

[tex] \displaystyle{ \frac{4}{5}d + 3 = -2 - \frac{1}{5}d} \\ [/tex]

[tex] \hookrightarrow [/tex] Subtract 3 from both sides :

[tex] \\ \displaystyle{ \frac{4}{5}d + 3 \bold{ \red{ - 3} }} = \displaystyle{ - 2 - \frac{1}{5}d \bold{ \red{ - 3}} } \\ \\ \implies \displaystyle{\frac{4}{5}d = - \frac{1}{5}d - 5 } \: \: \: \: [/tex]

[tex] \\ \hookrightarrow [/tex] Add [tex] \frac{1}{5}d [/tex] to both sides :

[tex]\\ \displaystyle{\frac{4}{5}d \: \bold{ \blue{ + \frac{1}{5}d }} = \displaystyle{ - \frac{1}{5}d - 5 \: \bold{ \blue{ + \ \frac{1}{5}d }}}} \\ \\ \implies \displaystyle{\frac{5}{5}d = - 5} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \displaystyle{\green{ \boxed{ \orange{{d = - 5}}}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Therefore, our answer is d = -5

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add [tex]\bf{\frac{1}{5}d }[/tex] on both sides.

[tex]\boldsymbol{\dfrac{4}{5}d+3+\dfrac{1}{5}d=-2 }[/tex]

combine [tex]\bf{\frac{4}{5}d }[/tex] and [tex]\bf{\frac{1}{5}d }[/tex] to get d.

[tex]\boldsymbol{d+3=-2}[/tex]

Subtract 3 from both sides.

[tex]\boldsymbol{d=-2-3}[/tex]

Subtract 3 from −2 to get −5.

[tex]\boxed{\boldsymbol{d=-5}} \ \ \to \ \ \bf{Answer}[/tex]

Let d=-5.

[tex]\sf{\dfrac{4}{5}\times-5+3=-2-\dfrac{1}{5}\times-5 }[/tex]

[tex]\rm{Apply \ this \ rule:\dfrac{a}{b}\times c=\dfrac{ac}{b} }[/tex]

[tex]\sf{\dfrac{4\times-5}{5}+3=-2-\dfrac{1}{5}\times-5 \ \ \to \ \ Multiply \ 4 \ by \ -5 }[/tex]

[tex]\sf{\dfrac{-20}{5}+3=-2-\dfrac{1}{5}\times-5 }[/tex]

[tex]\rm{Move \ the \ negative \ symbol \ to \ the \ left. }[/tex]

[tex]\sf{-\dfrac{20}{5}+3=-2-\dfrac{1}{5}\times-5 \ \ \to \ \ Simplify \ \frac{20}{5} \ to \ 4. }[/tex]

[tex]\sf{-4+3=-2- \dfrac{1}{5}\times-1 }[/tex]

[tex]\rm{Move \ the \ negative \ symbol \ to \ the \ left.}[/tex]

[tex]\sf{-4+3=-2-(-1) \ \ \to \ \ Simplify \ -4+3 \ to \ -1. }[/tex]

[tex]\sf{-1=-2-(-1) \ \ \to \ \ \to \ \ Remove \ parentheses. }[/tex]

[tex]\sf{-1=-2+1 \ \ \to \ \ Simplify \ -2+1 \ to \ -1.}[/tex]

[tex]\sf{-1=-1 \ \to \ Equality \ is \ met.}[/tex]

Checked ✅

[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]

There is sufficient evidence to conclude that, the percentage of the families who own a pet is different than 60%.

In null hypotheses, there is no relationship between the two phenomena under the assumption that it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

It Is said That 60% of families own a pet.

Of a sample of 95 families, 70 owned pets.

Whether the percent of families who own pets is different than 60%.

Let P be a proportion of the family who owns pets

Then by the test, we have

H₀: P = 0.60

Hₐ: P ≠ 60

Then by the test statistic, we have

[tex]z_o = \dfrac{\bar{P} - P_o}{\sqrt{\dfrac{P_o(1 - P_o)}{n}}}[/tex]

Where

[tex]\bar P[/tex]  = sample proportion

P₀ = hypothesis proporion

n = sample size

Then we have

[tex]\bar P[/tex] = x/n

[tex]\bar P[/tex] = 70/95

[tex]\bar P[/tex] = 0.74

Then the test statistic will be

[tex]z_o = \dfrac{0.74-0.60}{\sqrt{\dfrac{0.60(1-0.60)}{95}}}[/tex]

z₀ = 2.785

Then the critical region will be

Critical value = ± [tex]z_{\alpha /2}[/tex]

α = 0.05

α/2 = 0.025

Then we have

z₀.₀₂₅ = 1.96

Then the critical value will be

Critical value = ± 1.96

We reject if [tex]|z_o| > |z_{\alpha /2}|[/tex]

We have

[tex]|z_o| > |z_{\alpha /2}|\\[/tex]

2.79 > 1.96

We reject the null hypothesis at a 5% significance level.

There is sufficient evidence to conclude that, the percentage of the families who own a pet is different than 60%.

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By critically observing the scatter plot (see attachment), the type of relationship that would best model this data is positive nonlinear.

In Statistics, there are four (4) main types of relationship (association) in a scatter plot and these include the following:

By critically observing the scatter plot shown in the image attached below, we can logically deduce that the type of relationship that would best model this data is positive nonlinear because the change in one of the variables doesn't result in a constant change in other variables.

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Answer:

19.1 ft³

Step-by-step explanation:

Hello!

Volume of a cylinder: [tex]V = \pi r^2h[/tex]

We can plug in the values and solve.

The volume is approximately 19.1ft³

Step-by-step explanation:

[tex]\pink{\large{\underline{\underline{\sf Given:-}}}}[/tex]

[tex]\pink{\large{\underline{\underline{\sf To\:find:-}}}}[/tex]

[tex]\pink{\large{\underline{\underline{\sf Solution:-}}}}[/tex]

We know that,

[tex]\underline{\boxed{\sf Volume_{cylinder}=πr^2h}}[/tex]

[tex]\longmapsto \sf 3.14×(1.5)^2×2.7[/tex]

[tex]\longmapsto \sf 3.14×2.25×2.7[/tex]

[tex]\longmapsto \sf 3.14×6.075[/tex]

[tex]\longmapsto \sf 19.0755≈19.1\: cubic\:feet[/tex]

Answer: 16 centimeters

Step-by-step explanation:

    We will use the Pythagorean theorem to solve. The c variable is the hypotenuse, the a and b variables are the legs.

a² + b² = c²

12² + b² = 20²

144 + b² = 400

b² = 256

b = [tex]\sqrt{256}[/tex]

b = 16

          The length of the other leg is 16 centimeters.

Answer:

The other leg is 16 cm long.

Explanation:

Use the Pythagorean theorem:

[tex]c^2=a^2+b^2[/tex],

where:

[tex]c[/tex] is the hypotenuse, and [tex]a[/tex] and [tex]b[/tex] are the other two sides (legs).

Let [tex]a=12[/tex] [tex]cm[/tex]

Rearrange the equation to isolate [tex]b^2[/tex]. Plug in the values for [tex]a[/tex] and [tex]c[/tex], and solve.

[tex]b^2=c^2-a^2[/tex]

[tex]b2=(20 cm)^2-(12 cm)^2[/tex]

Simplify.

[tex]b^2=400 cm^2-144cm^2[/tex]

[tex]b^2=256 cm^2[/tex]

Take the square root of both sides.

[tex]b=\sqrt{256cm^2}[/tex]

Simplify.

[tex]b=16[/tex] [tex]cm[/tex]

Using it's concept, it is found that the conditional probability of B given that A occurs first is of [tex]p = \frac{3}{10}[/tex].

A probability is given by the number of desired outcomes divided by the number of total outcomes.

When two dice are rolled, we have these 36 outcomes:

Of those, 30 involve a sum of less than 10, and of those 30, 9 involve a sum that is multiple of 3(either 3, 6 or 9), hence the probability is given by:

[tex]p = \frac{9}{30} = \frac{3}{10} = 0.3[/tex]

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The equation represents a circle whose center is (-4, 1) and has a radius r = √2

We have the equation:

[tex]x^2 + y^2 + 8x - 2y + 15 = 0[/tex]

We can rewrite this as:

[tex](x^2 + 8x ) + (y^2 - 2y ) + 15 = 0\\\\\\\\(x^2 + 8x + 16) - 16 + (y^2 - 2y + 1) - 1 + 15 = 0\\\\(x + 4)^2 + (y - 1)^2 - 16 - 1 + 15 = 0\\\\(x + 4)^2 + (y - 1)^2 = 2[/tex]

Where we just completed squares.

Comparing this with the general circle equation, we can see that the center is the point (-4, 1) and the radius is √2.

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Answer:

[tex]y = mx + b[/tex]

[tex]y \geqslant 2x - 15[/tex]

I hope this helps

The operation that should be completed first to find the value of the expression is 6 - 3

The expression is given as:

12 + 30/(6 - 3) + 1

When solving an expression;

All expressions in the bracket must be first evaluated

This means that the operation that should be completed first is 6 - 3

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Answer:x = 0.449

Step-by-step explanation:

You will find it in the screenshots! up there☝️

Answer:

LN = 64 units

Step-by-step explanation:

Given M lies on LN, so LN = LM + MN --------------(1)

LN = 12x + 16

LM = 10x + 8

MN = 5x - 4

Substituting the values in equation 1, we get:

12x + 16 = (10x + 8) + (5x - 4)

12x + 16 = 15x + 4

15x - 12x = 16 -4

3x=12

Therefore x=4

LN= 12(4) + 16 = 64 units

Answer:

144

Step-by-step explanation:

540 degrees is the sum of angles in a pentagon

Divide 540 by 5(number of sides) =108(interior angle)

Since there are two pentagons you do 108 X 2 = 216 degrees

Do 360 - 216 = 144

so your answer is right