use the inequality symbol to compare 5+(-4)____________14+(-13)

The value of x in the model that makes the equation true is: b. x = 2.25

We can find the value of x that makes the equation true by applying our knowledge of how to model equations.

From the image given:

[tex]-3x + 10[/tex]

[tex]5x - 8[/tex]

[tex]-3x + 10 = 5x - 8[/tex]

[tex]-3x - 5x = - 8 - 10\\\\-8x = -18[/tex]

[tex]x = \frac{-18}{-8} \\\\x = 2.25[/tex]

Therefore, the value of x in the model that makes the equation true is: b. x = 2.25

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Answer: 26/5

Step-by-step explanation:

Mustard used was 2 3/5 as much as ketchup =

2 x 2 3/5

= 2 x 13/5

= 26/5

Answer:

1. Yes

2. No

3. No

4. No

5. Yes

Step-by-step explanation:

Do you mean equal proportion?

1. 3 : 9 = 6 : 18 TRUE because 3 : 9 = 1 : 3 and 6 : 18 = 1 : 3

2. 28 : 7 = 64 : 16 FALSE because they are just not related.

3. 95 : 100 = 17 : 20 FALSE because the closest they get are 19 : 20 ≠ 17 : 20

4. 60 : 80 = 14 : 16 FALSE because the closest they get are 60 : 80 = 6 : 8 and 14 : 16 = 7 : 8

5. 200 : 300 = 24 : 36 TRUE because 200 : 300 = 2 : 3 and 24 : 36 = 2 : 3

Answer:

The graph of the function is positive on (-∞ –7).

Step-by-step explanation:

Answer:

Point T is on the circle

Step-by-step explanation:

To check where the point lies, we need to find its distance to the center of the circle.

The distance between two points (x1, y1) and (x2, y2) is given by:

[tex]distance = \sqrt[2]{(x2 - x1)^{2} + (y2 - y1)^{2}}[/tex]

If the first point is O(0,0) and the second is T(5, -2), we have:

[tex]distance = \sqrt[2]{(5 - 0)^{2} + (-2 - 0)^{2}}[/tex]

[tex]distance = \sqrt{29}[/tex]

The distance between the points is equal the radius of the circle, that means the point T is on the circle.

Answer:

inside the circle

Step-by-step explanation:

Khan Academe

Answer:

y = 7x - 5

Step-by-step explanation:

y = 7x+2 we see the gradient is 7 (x 0) + 2 = Since the line is parallel to y= 7x +2

The new line has a slope of 7 + 2 as the intercept at y.

y - 0 = 7 ( x - 0)

y - 1/7 = x - 0

y = 7x - 5

As 7 -5 = 2

Hence equation of line becomes y=7x.

You must ensure that both equations have the same slope in order to find an equation for a line that is parallel to another. The m reflects your slope value in the general equation of a line, y=mx+b.

Now given line y=7x+2 ,this line is parallel to another line which passes through origin(0,0)

Hence putting 0,0 in general equation to find equation of parallel line

⇒y=mx+c

⇒0=m(0)+c

⇒0=c

where m=7 as parallel lines have same slope.

Hence equation of line becomes y=7x.

Learn more about equation of lines https://brainly.com/question/13763238

#SPJ2

Answer:

B. y=-2×+1

Step-by-step explanation:

2×+y-1=0

so,y=-2×+1 is the slope intercept

Answer:

The probability of having high cholesterol = 0.496

Step-by-step explanation:

Given frequency data table

                                                         cholesterol level

                                          Normal           High              Total

Heart diseases      Yes       11                   223                  234

                               No       367                149                   516

                             Total        378               372                 750

Given data

The Cholesterol level is high  n ( High cholesterol) = 372

Total n( S) = 750

The probability of having high cholesterol level

                           P( E) = [tex]\frac{n(E)}{n(S)} = \frac{372}{750} = 0.496[/tex]

Answer:

X =(31×320)÷248

=9920÷248

X =40

Answer:

P=10/36=5/18

Step-by-step explanation:

if two dices are thrown the events(E)={36,45,54,63,46,55,64,56,65,66}=10

S (sample space)=36 because there are 2 dices.

soP=E/S=10/36=5/18

Answer:

7 ft

Step-by-step explanation:

Answer:

$276

Step-by-step explanation:

345*4 = 1380

1380*.2 = 276

Answer:

It is D

Step-by-step explanation:

Answer:

The answer is D or cubic binomial.

Step-by-step explanation:

Stay safe and mark brainliest! (even though you did all the work and got it right:);))

Answer:

Step-by-step explanation:

Required

Represent the relationship between population of girls and boys

From the question, we have that

[tex]Boys = x\\Girls = y[/tex]

Given that y is greater than x in the classroom;

One of the keywords in the given data is "Greater than"

The inequality to represent the system is the greater than sign;

In other words, >

Bringing x, y and > together to form a complete inequality; we have

[tex]Girls > Boys[/tex]

Replace Girls with y and Boys with x

[tex]y > x[/tex]

Answer:

Step-by-step explanation:

If triangles MNO and PQR are similar, then the corresponding sides are propotional and the corresponding angles are congruent.

So, we know by gvein that angles O and R are congruent. We only need another angle congruence to use the AA postulate of similarity.

Therefore, the right answer is the second choices, because Angle N must be congruent to Angle Q.

Answer: B: Angle N isn’t congruent to angle Q

Step-by-step explanation: You have to follow the letters MNO and PQR. We know O is congruent to R to get another angle we would use Angle N and Q because of the order since Angle M and angle Q aren’t in the same order and we’re not dealing with sides only Angles.

Answer:

18

Step-by-step explanation:

Let's call the first number n. The next four numbers will be n + 3, n + 6, n + 9 and n + 12. Then, we have

n + n + 3 + n + 6 + n + 9 + n + 12 = 105

5n + 30 = 105

5n = 75

n = 15

The second smallest number is n + 3 which is 15 + 3 = 18.

Answer:

18

Step-by-step explanation:

Answer:

26 tiles

Step-by-step explanation:

In the picture attached, the pattern is shown.

From the picture, we can see that:

Therefore, the next patterns will have:

Answer: 27

Step-by-step explanation:

Let original number be 27,

swapping round we get 72

1/3 rd of 72 = 24

24 + 3 = 27

Answer:

Your answer is 27.

Step-by-step explanation:

I hope this helps!

Answer:

A.

B.

D.

E.

H.

Step-by-step explanation:

So if it's cross multiplication, the original has 5 possibilities.

There is:

x : u = y : t,

x : y = u : t,

t : y = u : x,

u : x = t : y

y : x = t : u

Answer:

I'm not sure this could be factored. if it was x^4-y^4, then it would be (x-y)(x+y)(x^2+y^2)

ps. check if you have the question correct

Answer:

A.

Step-by-step explanation:

The expression (1/4) * d + 7 really just means "one-fourth times d, plus 7"

Option A says the same expression, as we know that the product means multiplication, and that we add 7 at the end. For this reason, it is the correct response.

I hope this helps!

hello,

here is your answer:

**********

The product of one-fourth and a number, plus seven.

**********

hope this helped,

:)

Complete Question:

A population proportion is 0.4. A sample of size 200 will be taken and the sample proportion p will be used to estimate the population proportion. Use z- table Round your answers to four decimal places. Do not round intermediate calculations. a. What is the probability that the sample proportion will be within ±0.03 of the population proportion? b. What is the probability that the sample proportion will be within ±0.08 of the population proportion?

Answer:

A) 0.61351

Step-by-step explanation:

Sample proportion = 0.4

Sample population = 200

A.) proprobaility that sample proportion 'p' is within ±0.03 of population proportion

Statistically:

P(0.4-0.03<p<0.4+0.03)

P[((0.4-0.03)-0.4)/√((0.4)(.6))/200 < z < ((0.4+0.03)-0.4)/√((0.4)(.6))/200

P[-0.03/0.0346410 < z < 0.03/0.0346410

P(−0.866025 < z < 0.866025)

P(z < - 0.8660) - P(z < 0.8660)

0.80675 - 0.19325

= 0.61351

B) proprobaility that sample proportion 'p' is within ±0.08 of population proportion

Statistically:

P(0.4-0.08<p<0.4+0.08)

P[((0.4-0.08)-0.4)/√((0.4)(.6))/200 < z < ((0.4+0.08)-0.4)/√((0.4)(.6))/200

P[-0.08/0.0346410 < z < 0.08/0.0346410

P(−2.3094 < z < 2.3094)

P(z < -2.3094 ) - P(z < 2.3094)

0.98954 - 0.010461

= 0.97908

Answer:

4

Step-by-step explanation:

20 is the median

so before and after 20 is the Q3 and Q1

Q1 is 18

Q3 is 22

22 minus 18

The Interquartile range, IQR of the numbers is 4

The process of calculating the above Interquartile Range, IQR is as follows;

The given numbers in the data set are;

17, 18, 18, 19, 20, 21, 21, 23, 25

The required information;

Calculate the inter quartile range IQR = Q₃ - Q₁

The method;

The numbers in the data set are to be arranged in increasing order from smallest to largest number to give;

17, 18, 18, 19, 20, 21, 21, 23, 25 (The numbers were already arranged)

The values of first quartile, Q₁, and the third quartile, Q₃ are then found as follows;

The first quartile, Q₁ = The (n + 1)/4 th term

The third quartile, Q₃ = The 3·(n + 1)/4 th term

Where;

n = The number count in the data set = 9

Therefore:

Q₁ = The (9 + 1)/4 = The 2.5 th term = 18 + (18 - 18) × 0.5 = 18

Q₃ = The 3 × (9 + 1)/4 th term = 7.5 th term = 21 + (23 - 21) × 0.5 = 22

IQR = Q₃ - Q₁

Therefore;

IQR = 22 - 18 = 4

The Interquartile Range, IQR = 4

The Box and Whiskers plot of the above data created with MS Excel is

Learn more about interquartile range, IQR here:

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Answer:

D

Step-by-step explanation:

The denominator is the bottom number in a fraction, while the numerator is the top number.

numerator/denominator

Let's analyze the answer choices.

A. 6 2/3

The bottom number of the fraction is a 3, so this cannot be correct.

B. 16/18

The denominator here is 18, so this choice is also incorrect.

C. 6/7

In this fraction the numerator is a 6, but the denominator is a 7, so this choice is also wrong.

D. 1/6

This choice is the correct answer. The denominator, or bottom number is a 6.

The answer is D. 1/6.

Answer:

D

Step-by-step explanation:

Numerator/ denominator

Upper part of a fraction is numerator & down part of the fraction is denominator

He rolled 8 strikes out of 10 tries.

This make the probability of rolling a strike 8/10 which reduces to 4/5

The answer is 4/5

Answer:

The correct option is;

No, the distance from (0, 0) to (2, √6) is not 3 units

Step-by-step explanation:

The given parameters of the question are as follows;

Circle center (h, k) = (0, 0)

Point on the circle (x, y) = (3, 0)

We are required to verify whether point (2, √6) lie on the circle

We note that the radius of the circle is given by the equation of the circle as follows;

[tex]Distance \, formula = \sqrt{\left (x_{2}-x_{1} \right )^{2} + \left (y_{2}-y_{1} \right )^{2}}[/tex]

Distance² = (x - h)² + (y - k)² = r² which gives;

(3 - 0)² + (0 - 0)² = 3²

Hence r² = 3² and r = 3 units

We check the distance of the point (2, √6) from the center of the circle (0, 0) as follows;

[tex]\sqrt{\left (x_{2}-x_{1} \right )^{2} + \left (y_{2}-y_{1} \right )^{2}} = Distance[/tex]

Therefore;

(2 - 0)² + (√6 - 0)² = 2² + √6² = 4 + 6 = 10 = √10²

[tex]\sqrt{\left (2-0 \right )^{2} + \left (\sqrt{6} -0 \right )^{2}} = 10[/tex]

Which gives the distance of the point (2, √6) from the center of the circle (0, 0) = √10

Hence the distance from the circle center (0, 0) to (2, √6) is not √10 which s more than 3 units hence the point  (2, √6), does not lie on the circle.

Answer:

d

Step-by-step explanation:

Answer: $10,114.41

Step-by-step explanation:

A = P(1 + r/n)^nt

Answer:

Yes!

Step-by-step explanation:

The smaller sides sum should be greater (NOT EQUAL) than the longest side's sum.