Find the whole amount in each case
32% is 64 mL.

Answer:

a. 4 marks b. 9 questions

Step-by-step explanation:

a) Anu gets 8 correct answer and 12 incorrect answers what is her score?

Since Anu got 8 correct answer and 12 incorrect answers, and + 5 marks is given for every correct answer and (-3) marks are given for every incorrect answer, the total score for correct answers is number of correct answer × marks for correct answer = 8 × (+ 5) = 40.

Also,  the total score for incorrect answers is number of incorrect answer × marks for incorrect answer = 12 × (- 3) = -36.

Anu's total score = total score for correct answers + total score for incorrect answers = 40 + (-36) = 40 - 36 = 4 marks.

So, Anu scored 4 marks.

b) Sam answered all the questions and scored 28 marks though he got 11 correct answers.  How many incorrect answers had he attempted?

Let x be the number of incorrect answers. Since the marks for incorrect answers is -3, then his total score for incorrect answers is -3x.

Since Sam got 11 correct answers and is given + 5 marks for each correct answer, then his total score for correct answers is 11 × (+5) = +55.

Since he gets a total of 28 marks, we have that total score for incorrect answer + total score for correct answer = 28.

So, -3x + 55 = 28

Solving for x, we have

-3x = 28 - 55

-3x = -27

x = -27/-3

x = 9

Since x = 9, Sam attempted 9 incorrect questions.

.

Answer:

He or she attempted 9 incorrect answers

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

you need to subuce the x-2 and y-6

Answer:

the y intercept is -13

Step-by-step explanation:

First of all we need the line equation so let's find it first :

y = mx + b

y = 2x + b

_______________________________

The line passes through point ( 8 , 3 ) which means if put 8 instead of x the y must equals to 3 :

2(8) + b = 3

16 + b = 3

b = 3 - 16

b = - 13

______________________________

Now we have the equation of the line :

y = 2x - 13

To find the y-intercept we just need to out 0 (zero ) instead of x ; Let's do it :

y = 2(0) - 13

y = 0 - 13

y = - 13

Thus the y-intercept = - 13

Answer:

2x-10

Step-by-step explanation:

2(x) - 2(5) = 2x - 10

Answer:

The value of the test statistic is z = -0.877.

Step-by-step explanation:

Testing the difference in mean time spent on housework between husbands and wives.

At the null hypothesis, we test if there is no difference, that is, the subtraction of the means is 0:

[tex]H_0: \mu_H - \mu_W = 0[/tex]

At the alternate hypothesis, we test if there is a difference, that is, the subtraction of the means is different from 0.

[tex]H_1: \mu_H - \mu_W \neq 0[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, and s is the standard error.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

For the wives the mean was 7 hours/week and for the husbands the mean was 4.5 hours/week. The standard deviation of the differences in time spent on house work was 2.85.

This means that [tex]X = 4.5 - 7 = -2.5, s = 2.85[/tex]

What is the value of the test statistic for testing the difference in mean time spent on housework between husbands and wives?

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{-2.5 - 0}{2.85}[/tex]

[tex]z = -0.877[/tex]

The value of the test statistic is z = -0.877.

Answer:

82cm

Step-by-step explanation:

26+26+15+15=82

Answer:

50%

Step-by-step explanation:

In total, there are six things that can happen when you roll a 6-sided die: you either roll a 1, 2, 3, 4, 5 or a 6.

Three of these numbers are odd, therefore meaning the chances of you rolling an odd number is [tex]\frac{3}{6}[/tex] (because there are 6 events which could occur, 3 of which are odd)

Converting this into a fraction can be made easier by simplifying the fraction. As both the numerator and denominator can be divided by 3, you can simplify the fraction to [tex]\frac{1}{2}[/tex]

To turn this into a percentage, first divide 100% by your denominator (2) to get 50%, and then multiply it by your numerator (1). Therefore, P(odd) is 50%.

Answer:

3/2

Step-by-step explanation:

Step-by-step explanation:

4/5 is the simplified fraction for 48/60.

Answer:

[tex]x=\frac{3}{5}[/tex]

x = - 1

Step-by-step explanation:

5x² + 2x - 3 = 0

5x² + 2x - 3x = 0

(5x² + 5x) + (- 3x - 3) = 0

5x(x + 1) - 3(x + 1) = 0

(5x - 3)(x + 1) = 0

Create separate equations.

5x - 3 = 0

x + 1 = 0

5x - 3 = 0

5x - 3 + 3 = 0 + 3

5x = 3

5x ÷ 5 = 3 ÷ 5

[tex]x=\frac{3}{5}[/tex]

x + 1 = 0

x + 1 - 1 = 0 - 1

x = - 1

Answer:

C) 12√2

Step-by-step explanation:

According to the 45-45-90 triangle x should be a√2 and since a = 12 (in this case) the answer is 12√2.

Answer:

Option 3 is your correct answer.

I don't see the grid? did you attach a photo?

Answer:

2.40

Step-by-step explanation:

From the triangle QRS

RQ is the hypotenuse 13

QS is the opposite = 12

SR is the adjacent = 5

According to SOH CAH TOA

tan <R =  opp/adj

Tan <R = qs/sr

Tan <R = 12/5

Tan <R  = 2.40

Answer:

Step-by-step explanation:

This factors using a perfect square trinomial. You can recognize this by several characteristics. First off, the leading coefficient is a perfect square (25); second, the constant is also a perfect square (4). Third, the second sign is a + which means that both the signs inside the parenthesis are the same and they are both whatever the first sign is, - . Factoring this then, is the (square root of the leading coefficient times x - square root of the constant):

(5x - 2)(5x - 2) which simplifies down to

[tex](5x-2)^2[/tex], choice A.

Answer:

75833vq77-74thk4ftf08f088f8008f8008f080f86f688f0680f0f8806f806f64

Step-by-step explanation:

hope this helps

Answer:

True

Step-by-step explanation:

The variance of data measures how much the data varies.

your awnser would be true.

Answer:

3

Step-by-step explanation:

3 × 3 × 10²

1900 is the answer.                          

Answer:

143.5

Step-by-step explanation:

Answer:

my answer is in this picture

Answer:

the answer u wrote is correct because the question says to just subtract x number of dog by 7 dogs and u get a total of 35 dogs

Answer:

First option: 3619.1 cubic centimetres

Step-by-step explanation:

Use this formula for figure out the volume of a cone:

[tex]V=\pi r^2\frac{h}{3}[/tex]

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So:

π × 144 × 8 ≈ 3619.1

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Have a good day :)

Answer:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Step-by-step explanation:

⊹˚ʚ ❑Answer︰575 centimeters!

      ✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D

Answer:

The Merchant can Use All of His Beans Making 65 Bags Of House Blend , 30 Bags Of special Blend And 45 Bags Of Gourmet Blend .

Step-by-step explanation:

Abbreviation Used ( Colombian Bean = C , Kenyan Bean = K , French Roast Beans = F , House Blend = H , Special Blend = S , Gourmet Blend = G)

Now According to Question, We have 39kg of C , 15kg of K , 36kg of F

300gm in H + 200gm in S + 300gm in G = Total Colombian Beans(39000gm) ↔ Eq. 1

200gm in G + 200gm in S  = Total Kenyan Bean(15000gm) ↔ Eq. 2

300gm in H + 100gm in S + 300 in of G = Total FrenchRoast Beans(36000gm) ↔ Eq. 3

if we add all three Equations we get

600gm in H  + 500gm in S + 800gm in G = C+K+F(90000gm)↔Eq. 4

Now Subtract Eq. 1 - Eq. 3 We Get

100*S=3000

Total bag of Special Blend is 30

Now Put the value of S=30 in above equations(Eq. 1 & Eq. 4)

we get

3H+3G=330↔(eq. 5)  &   6H+8G=750↔(eq. 6)

solve these equation by subtracting (eq. 6 - 2*eq.5)

we get 2G=90  ⇔ Total bag of Gourmet Blend is 45

now By Putting G value in Eq. 6

We Get 6H=390 ⇔ Total bag of House Blend is 65