Pamela drove her car 99 kilometers and used 9 liters of fuel. She wants to know how many kilometers (k)left parenthesis, k, right parenthesis she can drive with 12 liters of fuel. She assumes the relationship between kilometers and fuel is proportional.


How many kilometers can Pamela drive with 12 liters of fuel?

I think..

A' =( -1,-4 )

B' = ( 3,-2 )

C'=( - 2, 2 )

Answer:

A' (-3, 12)

B' (9, 6)

C' (-6, -6)

Step-by-step explanation:

A (-1 , 4 ) , K = 3 => K * each with coordinate of A => (-1 * 3, 4 * 3)

B ( 3 , 2 ) , K = 3 => K * each with coordinate of B => (3 * 3, 2 * 3)

C ( -2 , -2 ) , K = 3 => K * each with coordinate of C => (-2 * 3, -2 * 3)

Answer:

50

Step-by-step explanation:

The amount of 4​% butterfat milk  is equal to x quarts , When 1​% butterfat milk  is equal to 75-x. The amount of butterfat in 4​% butterfat milk is x/100*4=0.04x

The amount of butterflat in 1​% butterfat milk is (75-x)/100= 0,75-0.01x

1​The amount of butterflat in 75 quarts of 3​% butterfat milk (our desired mixture) is 75/100*3= 2.25

This quantity (2.25) is the sum of butterfat from  4​% butterfat milk and 1​% butterfat milk(the sum of 0.04x and 0.75-0.01x)

the equation is

0.04x+0.75-0.01x=2.25

0.03x=1.5

x=50

Answer:

17.47, 103/6, 16.43, 16 1/3

Step-by-step explanation:

Answer:

17.47, 103/6, 16.43. 16 1/3

Step-by-step explanation:

Answer:

Surface area = the sum of the area of all six sides:

(11 · 10) + (11 · 10) + (11 · 8) + (11 · 8) + (8 · 10) + (8 · 10)

= 110 + 110 + 88 + 88 + 80 + 80

= 220 + 176 + 160

= 556 ft²

Answer:

556 ft^2

Step-by-step explanation:

The surface area of a rectangular prism is

SA = 2(lw+wh+lh) where h is the height l is the length and w is the width

SA = 2( 11*10+10*8+11*8)

      = 2(110+80+88)

      =2(278)

     =556 ft^2

Answer: [tex]1\dfrac{11}{12}\text{ pounds}[/tex]

Step-by-step explanation:

The complete question is provided in the attachment.

Given, Amount blueberry jelly beans= [tex]1\dfrac{1}{4}[/tex] pounds

[tex]=\dfrac{5}{4}[/tex] pounds.

Amount lemon jelly beans = [tex]2\dfrac{1}{3}[/tex]pounds

[tex]=\dfrac{7}{2}[/tex] pounds

Total jelly beans she bought = Amount blueberry jelly beans + Amount lemon jelly beans

[tex]=(\dfrac{5}{4}+\dfrac{7}{3})[/tex] pounds

[tex]=\frac{15+28}{12}\text{ pounds}\\\\=\dfrac{43}{12}\text{ pounds}[/tex]

Amount of jelly beans she gave away = [tex]1\dfrac{2}{3}=\dfrac{5}{3}\text{ pounds}[/tex]

Amount of jelly beans she has left= Total jelly beans - Amount of jelly beans she gave away

=[tex]\dfrac{43}{12}-\dfrac{5}{3}\\\\=\dfrac{43-20}{12}\\\\=\dfrac{23}{12}\\\\=1\dfrac{11}{12}\text{ pounds}[/tex]

She has left [tex]1\dfrac{11}{12}\text{ pounds}[/tex] of jelly beans.

Answer:

C

Step-by-step explanation:

He want's the bookshelf to be 1.5 feet taller than 1/4 of the height of his plant

If his plant's height is p, 1/4 of it's height would be 1/4p

As he wants the bookshelf to be 1.5 feet taller than this, the height should be

1.5 + 1/4p, which can also be written as p/4 + 1/5

Answered by g a u t h m a t h

Answer:

1/4p +1.5

Step-by-step explanation:

p = plant stand

The bookshelf is 1/4 the height of the plant stand plus 1.5 ft

1/4p +1.5

Answer:

b. The solution is a non empty set.

Step-by-step explanation:

There are no common elements.

Answer:

9

please mark brainliest

Answer:

9

Step-by-step explanation:

When we divide 45 by 2 which is 9, it is 5 times the number.

Answer:

a. The probability that all are defective is 0.0003160493827

b. Probability that none are defective is 0.99968395

Step-by-step explanation:

Given that 4 of the 30 widgets contained on the box are defective, n = 4. The probability of picking a defective widget is p = 4/30 = 2/15.

Now, P(X = a) = (nCa)P^n(1 - P)^(n - a).

a. To find the probability that all are defective, we want to find P(X = 4)

= (4C4) × (2/15)^4 × (1 - 2/15)^(4 - 4)

= 1 × (2/15)^4 × 1

= 0.0003160493827

b. Probability that none are defective.

This is the same as saying (1 minus the probability that all are defective).

P = 1 - 0.0003160493827

= 0.99968395

Answer:

Step-by-step explanation:

Work is said to be done when a force applied to an object cause the body to move in a specified direction.

Work-done = Force * Distance

Since Force = mass * acceleration due to gravity

Work-done =  mass * acceleration due to gravity * distance

Given mass = 1.4kg, distance = 0.7m and g = 9.8m/s²

Workdone in lifting the book off the floor = 1.4*0.7*9.8

Workdone = 9.604Joules

- Similarly, work done in lifting a 21-lb weight book 6 ft off the ground is expressed using the same formula as above;

Given mass = 21-lb, g = 32ft/s² and distance = 6ft

Workdone = 21 * 32 * 6

Workdone = 4,032 lb-ft²/s²

Hence, work-done in lifting a 21-lb weight book 6 ft off the ground is  4,032 lb-ft²/s²

Answer:

1) akram : shazia

20-4 : 15-4

16 : 11

2) akram : shazia

20 + 5 : 15 + 5

25 : 20

5 : 4

3) ratios are not always constant

Answer:

c = 60.65 cm

Step-by-step explanation:

Given that,

The two sides of a triangle are 33 cm and 37 cm.

The angle between these two sides is 120°.

We need to find the length of the third side of the triangle. Let c is the third side. Using cosine rule,

[tex]c^2=a^2+b^2-2ab\cos C[/tex]

a = 33 cm, b = 37 cm and C is 120°

So,

[tex]c^2=(33)^2+(37)^2-2\times 33\times 37\cos (120)\\\\c=60.65\ cm[/tex]

So, the length of the third side of the triangle is 60.65 cm.

Answer:

23

Step-by-step explanation:

6 - (-2) - 3(-5).

PEMDAS says multiply first

6 +2 +15

Add

23

Answer:

Answer is 23

Step-by-step explanation:

First open brackets:

[tex] = 6 + 2 + 15[/tex]

summ up:

[tex] = 23[/tex]

The midpoint is the point that divide a segment into two equal halves, while the distance between points is the number of units between both points.

The distance between

The coordinate of midpoint of:

The distance in a coordinate geometry is calculated using: [tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex].

The distance between points is calculated as follows:

(1,-4.6) and (3,7)

[tex]d = \sqrt{(1 - 3)^2 + (-4.6 - 7)^2}[/tex]

[tex]d = \sqrt{138.56}[/tex]

[tex]d = 11.77[/tex]

(-6,-5) and (2,0)

[tex]d = \sqrt{(-6 - 2)^2 + (-5 - 0)^2}[/tex]

[tex]d = \sqrt{89}[/tex]

[tex]d = 9.43[/tex]

(-1, 4) and (1-1)

[tex]d = \sqrt{(-1 - 1)^2 + (4 - -1)^2}[/tex]

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

[tex]d = 5.39[/tex]

(0.-8) and (3,2)

[tex]d = \sqrt{(0 - 3)^2 + (-8 -2)^2}[/tex]

[tex]d = \sqrt{109}[/tex]

[tex]d = 10.44[/tex]

The midpoint (M) is calculated using: [tex]M = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]

The coordinate of midpoint is calculated as follows:

(5, 8) and (-1,-4)

[tex]M = (\frac{5-1}{2},\frac{8-4}{2})[/tex]

[tex]M = (\frac{4}{2},\frac{4}{2})[/tex]

[tex]M = (2,2)[/tex]

(-5,9) and (-2,7)

[tex]M = (\frac{-5-2}{2},\frac{9+7}{2})[/tex]

[tex]M = (\frac{-7}{2},\frac{16}{2})[/tex]

[tex]M = (-3.5,9)[/tex]

(-3,-7) and (13.-5)

[tex]M = (\frac{-3+13}{2},\frac{-7-5}{2})[/tex]

[tex]M = (\frac{10}{2},\frac{-12}{2})[/tex]

[tex]M = (5,-6)[/tex]

(12,-6) and (-8,5)

[tex]M = (\frac{12-8}{2},\frac{-6+5}{2})[/tex]

[tex]M = (\frac{4}{2},\frac{-1}{2})[/tex]

[tex]M = (2,-0.5)[/tex]

Read more about distance and midpoints in coordinate geometry at:

https://brainly.com/question/3715220

Answer:

I'm confused by this. What do they mean by prove?

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

PC * PA = PB^2

(PA+AC) * PA = PB^2

(4+32) * 4 = PB^2

36*4 = PB^2

144 = PB^2

Taking the square root of each side

sqrt(144) = sqrt(PB^2)

12= PB

Answer:

a

Step-by-step explanation:

Given a tangent and a secant to a circle from an external point, then

The square of the tangent is equal to the product of the external part and the whole of the secant , that is

PB² = PA × PC = 4(4 + 32) = 4 × 36 = 144 ( take square root of both sides )

PB = [tex]\sqrt{144}[/tex] = 12 → a

Answer:

c.) in the correct answer

Answer:

A. There is insufficient evidence at the 0.05 level of significance to conclude that Regular and Salt & Vinegar chips have different amounts of chips per bag.

D. Fail to reject H0.

Step-by-step explanation:

From the summary of the given test statistics.

The null and the alternative hypothesis are:

[tex]H_0:\mu_1=\mu_2 \\ \\ Ha:\mu_1 \neq \mu_2[/tex]

This test is also a two tailed test.

Similarly, the t value for the test statistics = 1.44

The p- value - 0.167

The level of significance ∝ = 0.05

The objective we are meant to achieve here is to determine which of the following from the given options are appropriate conclusions for this hypothesis test.

From what we have above:

Decision Rule: We fail to reject the null hypothesis since the p-value is greater than the level of significance at 0.05

CONCLUSION: Therefore, we can conclude that  there is insufficient evidence at the 0.05 level of significance to conclude that Regular and Salt & Vinegar chips have different amounts of chips per bag as we fail to reject H0.

Answer:

the probability that out of these 75 people, 14 or more drink coffee is 0.6133

Step-by-step explanation:

Given that:

sample size n = 75

proportion of high school students that drink coffee p = 20% = 0.20

The proportion of the students that did not drink coffee = 1 - p

Let X be the random variable that follows a normal distribution

X [tex]\sim[/tex] N (n, p)

X  [tex]\sim[/tex] N (75, 0.20)

[tex]\mu = np[/tex] = 75 × 0.20

[tex]\mu =[/tex] 15

[tex]\sigma = \sqrt{p (1-p) n}[/tex]

[tex]\sigma = \sqrt{0.20(1-0.20) 75}[/tex]

[tex]\sigma = \sqrt{0.20*0.80* 75}[/tex]

[tex]\sigma = \sqrt{12}[/tex]

[tex]\sigma = 3.464[/tex]

Now ; if 14 or more people drank coffee ; then

[tex]P(X \geq 14) = P(\dfrac{X-\mu }{\sigma} \leq \dfrac{X-\mu}{\sigma})[/tex]

[tex]P(X \geq 14) =P(\dfrac{14-\mu }{\sigma} \leq \dfrac{14-15}{3.464})[/tex]

[tex]P(X \geq 14) = P(Z \leq \dfrac{-1}{3.464})[/tex]

[tex]P(X \geq 14) = P(Z \leq -0.28868)[/tex]

From the standard normal z tables; (-0.288)

[tex]P(X \geq 14) = P(Z \leq 0.38667)[/tex]

[tex]P(X \geq 14) = 1 - 0.38667[/tex]

[tex]P(X \geq 14) = 0.61333[/tex]

the probability that out of these 75 people, 14 or more drink coffee is 0.6133

Answer:

(a) Anova table is attached below.

(b) The population means of milk yield are different among the three diet types

Step-by-step explanation:

In this case we need to perform a One-way ANOVA to determine whether the effect of three diet types on the milk yield of cows are significantly different or not.

The hypothesis can be defined as follows:

H₀: The effect of three diet types on the milk yield of cows are same.

Hₐ: The effect of three diet types on the milk yield of cows are significantly different.

(a)

The formulas are as follows:

[tex]\text{Grand Mean}=\bar x=\frac{1}{3}\sum \bar x_{i}\\\\SSB=\sum n_{i}(\bar x_{i}-\bar x)^{2}\\\\SSW=\sum (n_{i}-1)S^{2}_{i}\\\\N=\sum n_{i}\\\\DF_{B}=k-1\\\\DF_{W}=N-k\\\\DF_{T}=N-1\\[/tex]

The F critical value is computed using the Excel formula:

F critical value=F.INV.RT(0.05,2,24)

The ANOVA table is attached below.

(b)

The rejection region is defined as follows:

F > F (2, 24) = 3.403

The computed F statistic value is:

F = 34.069

F = 34.269 > F (2, 24) = 3.403

The null hypothesis will be rejected.

Thus, concluding that the population means of milk yield are different among the three diet types

Answer:

Mr. Anderson can run like Naruto iff he is a ninja.

Step-by-step explanation:

This is because, in the statement "If Mr. Anderson is a ninja, then  he can run like Naruto.", the sub-statement, "he can run like Naruto.", depends on the sub-statement 'If Mr Anderson is a Ninja'. This means that although Mr. Anderson is a Ninja, he can only run like Naruto if and only if he is a Ninja implying that if Mr Anderson is not a Ninja, he cannot run like Naruto.

So, Mr Anderson can run like Naruto iff he is a Ninja is the correct answer

Answer:

1

Step-by-step explanation:

Answer:

I agree on janice because if is reliable and brilliant,she can score more than that

[tex]5(2x + 4) = 15\\10x+20=15\\10x=-5\\x=-\dfrac{5}{10}=-0,5[/tex]

Answer:

[tex]\huge\boxed{x=-0.5}[/tex]

Step-by-step explanation:

[tex]5(2x+4)=15\qquad\text{divide both sides by 5}\\\\\dfrac{5\!\!\!\!\diagup(2x+4)}{5\!\!\!\!\diagup}=\dfrac{15\!\!\!\!\!\diagup}{5\!\!\!\!\diagup}\\\\2x+4=3\qquad\text{subtract 4 from both sides}\\\\2x+4-4=3-4\\\\2x=-1\qquad\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{-1}{2}\\\\\boxed{x=-0.5}[/tex]

Answer:

3/11

Step-by-step explanation:

In the above question, we have the following information

Total number of balls = 12

White balls = 4

Blue balls = 3

Red balls = 5

We are to find the chance of probability that if we select 3 balls, all the three are selected.

Hence,

Probability ( all the three balls are selected) = P(White ball) × P(Blue ball) × P( Red ball)

Probability ( all the three balls are selected) = 4/12 × 3/11 × 5/10

= 60/1320

= 1/22

The number of ways by which we can selected all the three balls is a total of 6 ways:

WBR = White, Blue, Red

WRB = White, Red, Blue

RBW = Red, Blue, White

RWB = Red, White, Blue

BRW = Blue, Red, White

BWR = Blue, White, Red

Therefore, the chance that all three are selected :

1/22 × 6 ways = 6/22 = 3/11

Answer:hope it helps

Step-by-step explanation:

Result:

0.6

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Number line:

Number line

Rational form:

3/5

Answer: surface area

Step-by-step explanation:

Answer:

hello bro

Step-by-step explanation:

can you translate it on english so i can help you