In a test, +3 marks are given for every correct answer and -1 mark are given for every incorrect answer. Sona attempted all the questions and scored +20 marks, though she got 10 correct answers. How many incorrect answers has she attempted? (ii) How many questions were given in the test?

Answer:

(x+5)²+(y+5)²=18

Step-by-step explanation:

r=√(-8+5)²+(-2+5)²=√(-3)²+(3)²=√9+9

=√18

the equation is :

(x+5)²+(y+5)²=18

Answer:

3.25"

Step-by-step explanation:

If the scale is 1/8, then the model or drawing has lengths which are 1/8 of the objects lengths.

Find 1/8 of 26.

[tex]26 \times \frac{1}{8} = \frac{26}{8}= 3.25[/tex]

Answer:

[tex]t \le 6[/tex] min

Step-by-step explanation:

The time to do 25 problems should take less than (or equal to) the 150 minutes available.

[tex]25t \le 150\\t \le 6[/tex]

Answer:

we reject H0 and conclude that management's belief about variance is untrue.

Step-by-step explanation:

H0 : σ² = 250

H1 : σ² ≠ 250

Sample size, n = 25

xbar = 50.6 ; s² = 500

α = 0.01 ;

The test statistic :

χ² = [(n - 1)s²] ÷ σ²

χ² = [(25 - 1)* 500] ÷ 250

χ² = (24 * 500) / 250

χ² = 12000 / 250

χ² = 48

The critical value:

df = n-1 ; 25 - 1 = 24

χ²(0.01/2 ; 24) = 45.559

Decison :

Reject H0 : if |χ² statistic| > critical value

Since 48 > 45.559

Hemce, we reject H0 and conclude that management's belief about variance is untrue.

Answer:

2

Step-by-step explanation:

The degree of a polynomial is its highest exponent value: in this case, thats just two!

Answer:

degree 2

Step-by-step explanation:

The degree of a polynomial is determined by the largest value of the exponent attached to the variable.

f(x) = 2x² - 5x + 6 ← has the term 2x² with exponent 2 ( largest ), then

f(x) is a polynomial of degree 2

Answer:

-33

Step-by-step explanation:

[tex](3^2+4-2)(2^2-3-4)[/tex]

[tex](9+4-2)(4-3-4)[/tex]

[tex](13-2)(1-4)[/tex]

[tex](11)[/tex] · [tex](-3)[/tex]

(-33)

Answer:

∠ A ≈ 75.7°

Step-by-step explanation:

Given

[tex]\frac{sinA}{8}[/tex] = [tex]\frac{sin58}{7}[/tex] ( cross- multiply )

7 × sinA = 8 × sin58° ( divide both sides by 7 )

sinA = [tex]\frac{8sin58}{7}[/tex] , then

∠ A = [tex]sin^{-1}[/tex] ([tex]\frac{8sin58}{7}[/tex] ) ≈ 75.7° ( to the nearest tenth )

Answer:

4,800

Step-by-step explanation:

(14,700- 1,500) / 2 h 45 m

= 13,200 / 2.75

= 4,800 L/h

Time in minutes between 2 30 and 5 15 = 165 minutes= 2.75 hrs

raise in water level = 14700-1500= 13200

the average rate of increased in volume of water, giving your answer in L/h = 13200/2.75 = 4800 L/h

Answer:

11.25

Step-by-step explanation:

Answer:

Hello! answer: 22.96

Step-by-step explanation:

Area is base × height × 1/2 or base × height ÷ 2

Im going to use the second method.

8.2 × 5.6 = 45.92 45.92 ÷ 2 = 22.96 therefore the answer is 22.96

Answer:

y ≈ 61

Step-by-step explanation:

Using the Sine rule in the triangle

[tex]\frac{y}{sin117}[/tex] = [tex]\frac{21}{sin18}[/tex] ( cross- multiply )

y × sin18° = 21 × sin117° ( divide both sides by sin18° )

y = [tex]\frac{21sin117}{sin18}[/tex] ≈ 61 ( to the nearest whole number )

Answer:

24. f'(2)=4

27. f'(2)=√2/4

Step-by-step explanation:

Sorry if I'm wrong

Answer:

Step-by-step explanation:

kk

Answer:

32 oz per water bottle

$0.33 dollars per ounce

Step-by-step explanation:

We are already given 32 oz as the amount per water bottle, so all we need to do is calculate the dollars per ounce. We can do this by dividing the cost of the water bottle by the number of ounces.

$10.70 ÷ 32= 0.334375 ------> 0.33

Rounding to the hundredths place we get $0.33.

Answer:

1 sample

Step-by-step explanation:

There is only one sample given for 20%

Answer:

the answer would be

b) 1 sample

Answer:

Part A: ≈112.06

Part B: B

Step-by-step explanation:

Find the surface area and volume for the separate shapes, then add them up together

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Have a good day :)

Answer:

6

Step-by-step explanation:

7.5-1.5

=6

that is easy

Given:

The function is:

[tex]y=2x^2+3x[/tex]

Domain is the set {-2, -1, 0).

To find:

The range of the given relation.

Solution:

We have,

[tex]y=2x^2+3x[/tex]

Substituting [tex]x=-2[/tex], we get

[tex]y=2(-2)^2+3(-2)[/tex]

[tex]y=2(4)+(-6)[/tex]

[tex]y=8-6[/tex]

[tex]y=2[/tex]

Substituting [tex]x=-1[/tex], we get

[tex]y=2(-1)^2+3(-1)[/tex]

[tex]y=2(1)+(-3)[/tex]

[tex]y=2-3[/tex]

[tex]y=-1[/tex]

Substituting [tex]x=0[/tex], we get

[tex]y=2(0)^2+3(0)[/tex]

[tex]y=0+0[/tex]

[tex]y=0[/tex]

The range for the given relation is {2, -1,0}. Therefore, the correct option is (c).

Answer:

Step-by-step explanation:

top left r= 0.9 ; top right r= 0.4

bottom left r=0; bottom right r= -0.4

if they are not around a line looking like r=0

if they resemble a line well is close to r=1

if line goes up from left to right is r positive

if line goes down from left to right is r negative

Answer:

15 x 20 x 4 = 1,200

6 x 4 = 24, 24 divided by 2 ( x 1/2 ) = 12

12(area of 1 triangle) x 12(width) = 144

Formula area of a triangle:

B(base) x H(height) x 1/2(basically just dividing by 2)

Formula volume of a rectangular prism:

L x W x H

Answer:

1) 1200

2) 144

Step-by-step explanation:

1:

Volume Of A Cube: L * W * H

Substitute: 25 * 20 * 4

2:

Volume Of A Triangular Prisism: 0.5 * B * A * H

Substitute: 0.5(6 * 4) * 12

Answer:

The answer is B

Step-by-step explanation:

The table is a partial representation of a larger data set. It can be used to generate an equation that is a complete representation of the data set.

If the radius of the circle is 5 cm and central angle is 80° then the area of the shaded region is 61.06.

Given that the radius of the circle is 5 cm and central angle is 80°.

We are required to find the area of the shaded region.

The area of the shaded region is basically the difference between the area of the whole circle and the area of the arc which is not shaded.

Area of circle=π[tex]r^{2}[/tex]

=3.14*25

=78.5 [tex]cm^{2}[/tex]

Area of the arc =([tex]r^{2}[/tex]Θ)/2

=(25*80π)/2*180

=(25*80*3.14)/360

=6280/360

=17.44

Area of the shaded region=78.5-17.444

=61.056

After rounding off to the nearest tenth it will be as under:

=61.06

Hence if the radius of the circle is 5 cm and central angle is 80° then the area of the shaded region is 61.06.

Learn more about area at https://brainly.com/question/25965491

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Answer:

-0.708073 this is the exact answer im not sure if they want you to round or not

Step-by-step explanation:

Answer:

I think the question is from Sequence.

on the basis that I have studied I think this is the way. if I am wrong sorry

Answer:

last option is correct:  bc^5(5abc^6 + 2)

Step-by-step explanation:

Answer:

y-intercept = 2 so it’s the first answer option

Step-by-step explanation: How to find the slope. Slope is rise/run so choose one point on the graph, and figure out how many squares it goes up and how many over, that’s your slope. Then, to find the y-intercept, find the point where it intersects on the y-axis, in this case it looks like 2.

Answer: 12

Step-by-step explanation:

Answer:

where is the second one?

Step-by-step explanation: