Ms. Eskew's class had a class average of 89 % on their Math test. How would this be written as a ratio? A. 11:100 B. 89:100 C. 78:100 D. 100:89

Answer:

(3, -3)

Step-by-step explanation:

If a point is dilated about the origin rule to be followed,

(x, y) → (kx, ky)

where k is a scale factor by which the point is being dilated.

If a point R having coordinates (1, -1) is dilated by scale factor of 3, coordinates of the image will be [3×1, 3(-1)]

Therefore, coordinates of the image R' will be (3, -3)

Answer:

B) Acute triangle

Step-by-step explanation:

In acute triangles, all of the angles are less than 90°. This is true for this triangle :)

I hope this helps!!

Answer:

B) Acute triangle

Step-by-step explanation:

All the angles are less than 90 degrees so all the angles are acute

Answer:

144

Step-by-step explanation:

Area of a square is [tex]s^2[/tex]

The side length is 12 cm.

[tex]12^2=144[/tex]

Therefore, the area of the square is [tex]144 \: cm^2[/tex].

Answer:

Step-by-step explanation:

[tex]a_{n}=1+(n-1)(4)[/tex]

Answer:

4

Step-by-step explanation:

[tex]13x-10=2y+12 \\\\y=15 \\\\13x-10=2(15)+12 \\\\13x-10=30+12\\\\13x-10=42\\\\13x=52\\\\x=4[/tex]

Hope this helps!

Answer:

115° and 245°

Step-by-step explanation:

Given

cos x = - 0.4226

Since cos x < 0 then x is an angle in the second / third quadrants, thus

x =  (0.4226) = 65° ← related acute angle , thus

x = 180° - 65° = 115° ← angle in second quadrant

x = 180° + 65° = 245° ← angle in third quadrant

Answer:

[tex]x=\{44\º, 317\º\}[/tex]

Step-by-step explanation:

The interval given is [tex](0, 360\º) \text{ or } (0, 2\pi)[/tex]

In exercises of this kind I usually use

[tex]\cos \left(x\right)=a\quad \Rightarrow \quad \:x=\arccos \left(a\right)+360\º n, n \in \mathbb{Z}[/tex]

[tex]\quad \:x=\arccos \left( 0.7252\right)+360\º n, n \in \mathbb{Z}[/tex]

And [tex]\arccos \left( 0.7252\right) \approx 43.5^{\circ \:}[/tex]

But once we have the solution for cos in two different quadrants, I mean, Quadrant I and Quadrant IV angle.

To the nearest degree, we have

[tex]x=\{44\º, 317\º\}[/tex]

Answer:

[tex](x-2)^2+(y+4)^2=34[/tex]

Step-by-step explanation:

The standard form for the equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex], where h is the x coordinate of the center of the circle, k is the y coordinate, and r is the radius. Since you already know the coordinates of the center of the circle, all you need to do is find the radius. Using the distance formula:

[tex]r=\sqrt{(7-2)^2+(-1-(-4))^2}=\sqrt{5^2+3^2}=\sqrt{25+9}=\sqrt{34}[/tex]

The equation of the circle is therefore:

[tex](x-2)^2+(y+4)^2=34[/tex]

Hope this helps!

Answer: 98 is your answer

Step-by-step explanation:

Answer:

The answer would be just about 61% or 9/14

Step-by-step explanation:

So, it would be a 71% chance to get 1 green out of the bag, but then you have to keep that green out, which then lowers the chances of getting another green out of the bag, then you have to combine the percentages, and then that is the final percentage.

The probability of getting 2 greens is 5/31

Probability is the likelihood or chance that an event will occur. It is expressed as:

Probability = Expected outcome/Total outcome

Given that a bag is filled with 4 blue, 3 red and 5 green marbles, the total outcome is expressed as:

If green is picked at first, the probability of selecting a green is  5/12

The probability of getting 2 greens = 5/12 × 4/11

The probability of getting 2 greens = 20/132

The probability of getting 2 greens = 5/31

Hence the probability of getting 2 greens is 5/31

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Answer:

80%

Step-by-step explanation:

The number of males with weight between 160 and 175 lbs is 12

So since we were told that the boat seat is graded for males with 160 to 175lbs

=175lbs-160 lbs =15

=12/15*100

=80%

Answer:

Volume of cuboid = length × width × height

length = 20cm

width = 8cm

height = 15cm

Volume = 20cm × 8cm × 15cm

= 2400cm³

Volume of the cuboid is 2400cm²

Hope this helps.

Answer:

2,400cm³

Step-by-step explanation:

FORMULA FOR VOLUME OF A CUBOID= L×B×H

WHERE L IS LENGTH = 20cm

B IS BREADTH = 15cm

H IS HEIGHT=8cm

:• VOLUME= 20cm ×15cm × 8cm

= 2,400cm³

Answer:

lower quartile: 80.5 upper quartile: 93

Step-by-step explanation:

Fro the above question, we are given the following values for the number of cars 8 dealerships sold.

GMC = 84

Chevrolet = 81

Nissan = 92

Toyota = 92

Ford = 95

Honda = 94

Hyundai = 80

Acura = 72

We are told to find the lower and upper quartile of this set of data.

The lower quartile of a data set can be defined as the median( middle number) of the lower half of the data set. The lower quartile is also known or referred to as (Q1).

The lower quartile is also calculated using the formula

Q1 = 1/4(n + 1) th value

Where n is the number of values in the the date set.

The upper quartile of a data set can be defined as the median( middle number) of the upper half of the data set. The lower quartile is also known or referred to as (Q3).

The upper quartile is also calculated using the formula

Q3 = 3/4(n + 1) th value

Where n is the number of values in the the date set.

Step 1

Arrange the data set from the lowest to the highest number

72, 80, 81, 84, 92, 92, 94, 95

Step 2

Calculate the lower Quartile

Q1 = 1/4(n + 1)th value

n = number of values in the data set = 8 values

Q1 = 1/4(8 + 1)th value

Q1 = 1/4(9)th value

Q1 = 2.25th value

This means it is between the 2nd and 3rd value

2nd value = 80

3rd value = 81

(80 + 81) ÷ 2 = 161 ÷ 2 = 80.5

The Lower Quartile (Q1) = 80.5

Step 3

Calculate the lower Quartile

Q3 = 3/4(n + 1)th value

n = number of values in the data set = 8 values

Q3 = 3/4(8 + 1)th value

Q3 = 3/4(9)th value

Q3 = (27/4)th value

Q3 = 6.75th value

This means it is between the 6th and 7th value

6th value = 92

7th value = 94

(92 + 94) ÷ 2 = 186 ÷ 2 = 93

The Upper Quartile (Q3) = 93

Therefore, the Lower Quartile: 80.5 and Upper Quartile: 93

Answer:

A

Step-by-step explanation:

good luck on the test ,have a nice day :)

edg 2022

Answer:

Choice D

Step-by-step explanation:

After writing the data down seperate the values according to the x-axis on the graphs. You will find that 6 people chose between 0 to 3, 4 people chose between 4 to 7, 3 people chose between 8 to 11 and 2 people chose between 12 to 15.

Answer:

∠ ABC = 90°

Step-by-step explanation:

∠ ABC is the angle in a semi circle and is right, that is

∠ ABC = 90°

The angle of ABC is 90 degrees.

Using circle theorem,

The angle subtended by an arc at the centre is twice the angle subtended

at the circumference.

Therefore,

1 / 2 ∠O = ∠ABC

∠O = 180 (angle on a straight line)

Therefore,

∠ABC = 1 / 2 × 180

∠ABC = 180 / 2

∠ABC = 90°

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Answer:

Brainleist!

Step-by-step explanation:

10^x = 0.1

x =log(0.1)

Decimal Form:  x=−1

Answer:

x= -132

Step-by-step explanation:

Answer:

[tex]x=-132[/tex]

Step-by-step explanation:

[tex]\frac{x}{11}=-12\\ \\x=-12*11\\\\x=-132[/tex]

Answer:

[tex]\frac{9}{20}[/tex]

Step-by-step explanation:

Step 1: Multiply 2 together

1/3(3/5) = 3/15

Step 2: Multiply again

3/15(9/4) = 27/40

Step 3: Simplify

(Divide both top/bottom by 2)

27/2 = 9

40/2 = 20

9/20

answer: X would equal 104

Step-by-step explanation:

you would first find the interior angle for the other 2 exterior angles this would lead for  the other 2 interior angles would be 88 and 16 so you would have 180 - 176 so then you do 180- 76 to find the missing angle of X

Missing exterior angle is 104°.

Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it. The measure of an exterior angle is equal to the sum of the two internal opposite angles.

Given,

In the figure

Measure of exterior angles = 92°, 164°, x°

Sum of exterior angles of triangle is 360°

92° + 164° + x° = 360°

256° + x° = 360°

x° = 360° - 256°

x° = 104°

Hence, 104° is the measure of the missing exterior angle.

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Answer: w^6 z^4

Step-by-step explanation:

w^6z^4

w^3^2 z^2^2

w^6 z^4

Answer:

[tex]w^6z^4[/tex]

Step-by-step explanation:

[tex]\text{Apply rule: }(a*b)^n=a^nb^n\\\\(w^3z^2)^2=\left(w^3\right)^2\left(z^2\right)^2\\\\\text{Apply rule: }(a^n)^m=a^{nm}\\\\(w^3)^2=w^{3*2}=\boxed{w^6}\\\\w^6(z^2)^2\\\\(z^2)^2=z^{2*2}=z^4\\\\\boxed{w^6z^4}[/tex]

The rational expression that has a value of 1 when x =-1 would be; D 2x²/ (x + 3).

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol.

We need to determine the expression that has a value of 1 when x =-1

Let's consider the rational expression of the option D;

2x²/ (x + 3)

Now substitute the value x = -1 in the given expression

2x²/ (x + 3)

2(-1)²/ (-1 + 3)

= 2/ 2

= 1

Hence, the required rational expression is D 2x²/ (x + 3).

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Answer:

C 2:1

Step-by-step explanation:

10 is double 5

and 2 is double 1

Answer:

C 2:1

Step-by-step explanation:

this is the answer

Answer:

gºf(x)​ = [tex]3x^2 -1[/tex]

Step-by-step explanation:

Given

f(x) = x2

g(x) = 3x - 1

To find

gºf(x)​

To find  gºf(x)​ we will use value of f(x) = [tex]x^2[/tex] in place of in g(x)

lets do that

g(x) = 3x - 1

gºf(x)​ = 3(f(x)) -1

gºf(x)​ = [tex]3x^2 -1[/tex]

Thus, value of  gºf(x)​ is   [tex]3x^2 -1[/tex].

Answer:

y = -1/2x + 1

Step-by-step explanation:

Step 1: Find slope

m = (2-4)/(-2+6) = 1/2

Step 2: Find y-intercept

y = -1/2x + b

2 = -1/2(-2) + b

2 = 1 + b

b = 1

Step 3: Write it all together

y = -1/2x + 1

And we have our final answer!

[tex]\left(3,\,\frac{\big\pi}3\right)[/tex]

Answer:

The probability that 6 out of the next 8 individuals in his community are in favor of the president.

P( X=6) = 0.070 or 7 percentage

Step-by-step explanation:

Step(i):-

Given data the researcher has obtained data that states that 45% of citizens are in favor of the president

probability of success  'p' = 45% or 0.45

                                       q = 1-0.45 = 0.55

Given random sample size 'n' = 8

Let 'X' be the random variable

let 'X' = 6

[tex]P(X=r) = n_{C_{r} } (p)^{r} (q)^{n-r}[/tex]

The probability that 6 out of the next 8 individuals in his community are in favor of the president.

[tex]P(X=6) = 8_{C_{6} } (0.45)^{6} (0.55)^{8-6}[/tex]

[tex]8_{C_{6} } = \frac{8!}{(8-6)!6!} = \frac{8 X 7 X 6!}{2 X 1 X 6!} =\frac{8 X 7}{2 x1} = 28[/tex]

P( X=6) = 28 × 0.00830 ×0.3025

P( X=6) = 0.070

Conclusion:-

The probability that 6 out of the next 8 individuals in his community are in favor of the president.

P( X=6) = 0.070 or 7 percentage

Answer:

28

Step-by-step explanation:

Answer:

the answer is C:x=20 I used a calculator

Answer:

Slope = 32+5/-21+55

= 37 / 34

Hope this helps