80)

The number of miles per gallon of gasoline that a car averages varies inversely as the average speed the car

travels. A car gets 11 miles per gallon at 42 mph. How many miles per gallon will it get at 61 mph? Round to the

nearest tenth if necessary. A) 16 miles per gallon B)7.6 miles per gallon C)0.13 miles per gallon D)0.06 miles per gallon​

Answer:

  A'(4, 3)

Step-by-step explanation:

When a point is reflected across the line y = x, the transformation is ...

  (x, y) ⇒ (y, x)

  A(3, 4) ⇒ A'(4, 3)

The reflected point is (4, 3).

Answer:87

Step-by-step explanation:

866

Answer:

20

Step-by-step explanation:

Answer:

$61.20

Step-by-step explanation:

15% sale:

40% sale:

Answer:

[tex]x\in(-2,1)[/tex]

Step-by-step explanation:

We are given that a function

[tex]f(x)=(x+2)(x-4)[/tex]

[tex]f(x)=x^2-2x-8[/tex]

Differentiate w.r.t x

[tex]f'(x)=2x-2[/tex]

[tex]f'(x)=0[/tex]

[tex]2x-2=0[/tex]

[tex]2x=2\implies x=\frac{2}{2}=1[/tex]

Therefore, intervals

[tex](-\infty,1),(1,\infty)[/tex]

Interval :[tex](-\infty,1)[/tex]

x=0

[tex]f'(0)=-2<0[/tex]

Decreasing  function.

Interval:[tex](1,\infty)[/tex]

Substitute x=2

[tex]f'(2)=2(2)-2=2>0[/tex]

Function increasing.

From given graph we can see that function is negative for the values of x

-2<x<4

Hence, the graph is negative and decreasing for the values of x

[tex]x\in(-2,1)[/tex]

Answer:the answer is c/ all real values of x where 1<x<4

Step-by-step explanation:

edge 2020

Answer:

y= 3/2x -2

Step-by-step explanation:

make y be on one side by itself ( -2y = -3x + 4 )

divide by negative 2 in order to get y by itself ( -2y/-2 = -3/-2 + 4/-2 )

two negatives make a positive ( y = 3/2 + -2 )

Answer:

(9x - 1)²

Step-by-step explanation:

If you can tell, the square root of 81 is 9. This should be a clue that the polynomial could be one binomial squared. If you tried factoring starting out with 9x in both parenthesis, you could see that you would get (9x - 1)² as your answer.

Answer:

(9x-1)²

Step-by-step explanation:

81x² - 18x + 1= (9x)²- 2*9x+1²= (9x-1)²

Answer:

Step-by-step explanation:

Confidence interval for the difference between two population means is written in the form,

difference in sample means ± margin of error

The difference in sample means is the point estimate for the difference in population means. In the given scenario, the point estimate is the difference in mean amount spent by the sampled customers on a trip to Target or​ Walmart.

Since the interval was (- $15.05​,$2.95), it means that the lower limit is - $15.05 and the upper limit us $2.95.

Therefore, the 95% confidence interval is providing a range that we are 95% confident that the true difference in mean amount spent by Target customers and Walmart customers falls between - $15.05​ and $2.95

Answer:

Due to the higher Z-score, Norma should be offered the job

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

Whoever has the higher z-score should be offered the job.

Alissa:

[tex]X = 68.5, \mu = 60.4, \sigma = 9[/tex]

So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{68.5 - 60.4}{9}[/tex]

[tex]Z = 0.9[/tex]

Morgan:

[tex]X = 252.5, \mu = 227, \sigma = 17[/tex]

So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{252.5 - 227}{17}[/tex]

[tex]Z = 1.5[/tex]

Norma:

[tex]X = 7.96, \mu = 6.7, \sigma = 0.7[tex]

So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{7.96 - 6.7}{0.7}[/tex]

[tex]Z = 1.8[/tex]

Due to the higher Z-score, Norma should be offered the job

Answer:

a) $12,440.43

b) $8,000.00

c) $4,440.43

Step-by-step explanation:

the question is a bit ambiguous, I calculated from zero initial Deposit to $100 per quarter. If they deposited $100 initially and then $100 quarterly for 20 years then the numbers are as follows.

a) $12,671.05

b) $8,100

c) $4,571.05

a) $12,440.43

b) $8,000.00

c) $4,440.43

Step-by-step explanation:

the question is a bit ambiguous, I calculated from zero initial Deposit to $100 per quarter. If they deposited $100 initially and then $100 quarterly for 20 years then the numbers are as follows.

a) $12,671.05

b) $8,100

c) $4,571.05

Answer:

286 degrees and 143 degrees

Step-by-step explanation:

When line intersect the two vertical angle adds up to 180 degrees

To find the other vertical angle:

180 -37=143 degrees

So for two vertical angles

we take (180*2)-(37*2)=286 degrees

Answer:

Step-by-step explanation:

Hello!

The objective is to test the claim that less than 41% of the publisher's readers own a laptop.

To do so, a sample of 320 readers was taken and the proportion of readers that own a laptop resulted in 36%

Be X: number of readers that own a laptop.

X~Bi(n;p)

n=320

Sample proportion p'= 0.36

The hypotheses are:

H₀: p ≥ 0.41

H₁: p < 0.41

α: 0.05

[tex]Z=\frac{p'-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]≈N(0;1)

[tex]Z_{H_0}=\frac{0.36-0.41}{\sqrt{\frac{0.41(1-0.41)}{320} } }= -1.82[/tex]

This test is one-tailed to the left, meaning, that you'll reject the null hypothesis to small values of Z, there is only one critical value that defined the rejection region:

[tex]Z_{\alpha }= Z_{0.05}= -1.645[/tex]

The decision rule is:

If [tex]Z_{H_0}[/tex] ≤ -1.645, reject the null hypothesis.

If [tex]Z_{H_0}[/tex] > -1.645, do not reject the null hypothesis.

The calculated value is less than the critical value, then the decision is to reject the null hypothesis.

So at a 5% significance level, the test is significant. You can conclude that the population proportion of the publisher's readers that own a laptop is less than 41%.

I hope this helps!

Answer:

the answer is 5

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

5x-10=15

5x=25

x=5

Answer:

m∠3 = 115°

Step-by-step explanation:

Since measure of angle 6 = (2x - 5)°

And measure of angle 8 = (x + 5)°

Since ∠6 and ∠8 are the supplementary angles,

m∠6 + m∠8 = 180°

(2x - 5)° + (x + 5)° = 180°

3x = 180°

x = 60°

Therefore, m∠6 = (2x - 5) = (120 - 5) = 115°

and m∠8 = (x + 5) = 65°

Since angle 6 and angle 3 are interior alternate angles,

Therefore, m∠6 = m∠3 = 115° will be the answer.

Answer:

D. 3.6

Step-by-step explanation:

=> Taking proportionality of the similar sides to find BC

[tex]\frac{AB}{AD}=\frac{BC}{DE}[/tex]

[tex]\frac{3}{5} = \frac{BC}{6}[/tex]

Multiplying 6 to both sides

[tex]BC = 0.6 * 6[/tex]

BC = 3.6

Answer:

  7290

Step-by-step explanation:

Put 5 in the formula and evaluate.

  a(5) = 90·3^(5-1) = 90·81 = 7290

There will be 7290 bacteria at the beginning of hour 5.

Answer:

7/13

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x - c = k

Add c  to each side

5x - c+c = k+c

5x = (k+c)

Divide each side by 5

5x/5 = (k+c)/5

x = (k+c)/5

Answer:

x=(k+c)/5

Step-by-step explanation:

5x-c=k (Original Equation)

5x-c+c=k+c (Addition Property of Equality)

5x=k+c (Simplify)

x=(k+c)/5 (Division Property of Equality)

[tex]the \: answer \: is \: 22.4 \: cm \\ please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]

The length of AE is 22.4cm rounded to one decimal place.

Answer:

(1/2, 1)

2

Step-by-step explanation:

x² + y² − x − 2y − 11/4 = 0

x² − x + y² − 2y = 11/4

Complete the squares.

x² − x + 1/4 + y² − 2y + 1 = 11/4 + 1/4 + 1

(x − 1/2)² + (y − 1)² = 4

The center of the circle is (1/2, 1) and the radius of the circle is 2.

Answer:

Option  A

Step-by-step explanation:

[tex](\frac{1}2} ,1)[/tex], 2 units

Answer:

You want the curve to be decreasing from left to right since they are decreasing the amount spent so we can eliminate options 2 and 3. The initial amount (when x = 0) has to be 12 so the answer is the last option.

Answer:

  aₙ = 7 +3(n -1)

Step-by-step explanation:

The numbers in the given sequence have a common difference, so this is an arithmetic sequence. The formula for the n-th term applies.

  aₙ = a₁ +d(n -1)

The first term is 7. The common difference is 10-7 = 3. Using the above formula for the n-th term, we find it to be ...

  aₙ = 7 +3(n -1)

__

Additional comment

This can be simplified to ...

  aₙ = 3n +4

Answer:

The answer would be 50%

Step-by-step explanation:

You Would get this by dviding 36/72 which would give you .5 and then you convert that to a percentage

Answer:

50%

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

46+15+19 which should give you a total answer of 80

Answer:

A

Step-by-step explanation:

RT=12

TU=5

RU=12+5=17

RS=17+7=24

SU=√(RS²-RU²)=√(24²-17²)=√(24-17)(24+17)=√(7×41)=√287

area=1/2×12×√287=6×√287≈101.6 unit²

Answer:

72.1

Step-by-step explanation:

G(x) =19.60 + 1.75x

Let x = 30

G(30) =19.60 + 1.75*30

          =19.60 +52.5

            72.1

Answer:

Quadrilateral ABCD is a Quadrilateral with four equal sides so either a rhombus or square

But

Quadrilateral ABC'D is a quadrilateral with two adjacent sides equal so it's a kite shape

Step-by-step explanation:

(11, -7), B(9, -4), C(11, -1), and D(13, -4).

Let's take out the values of x and y coordinate with the way they are arranged

X = 11,9,11,13

Y = -7,-4,-1,-4

So we observe that distance of the coordinates on either x is 2 units and y is 3 units.

But when the the value was changed to

C′(11, 1), (11, -7), B(9, -4), C′(11, 1), and D(13, -4).

There was difference of 2 unit and 4 unit making the new shape a kite.

The diagram attached explain better

Answer:

1. rhombus with non-perpendicular adjacent sides

2. kite

Step-by-step explanation:

i just got it right on edmentum.

Please mark as brainliest.

Answer:

The approximate percentage of cars that remain in service between 73 and 84 months

P( 73 < x < 84 ) = 0.02145 = 2.1 %

Step-by-step explanation:

Explanation:-

Given mean of the Population 'μ ' = 51 months

Standard deviation of the Population 'σ' = 11 months

Let 'X' be the random variable of Normal distribution

Let    'X'  = 73

[tex]Z = \frac{x-mean}{S.D} = \frac{73-51}{11} = 2[/tex]

Let  'X' = 84

[tex]Z = \frac{84-51}{11} = 3[/tex]

The approximate percentage of cars that remain in service between 73 and 84 months

P( 73 < x < 84 )      = P( 2 < Z < 3)

                              = P( Z<3) - P( Z <2)

                             =  0.5 + A(3) - ( 0.5 + A(2))

                            = A(3) - A( 2)

                            = 0.49865 - 0.4772     ( From Normal table)

                            = 0.02145

 P( 73 < x < 84 ) = 0.02145

The approximate percentage of cars that remain in service between 73 and 84 months

P( 73 < x < 84 ) = 0.02145 = 2.1 %

Answer:

Step-by-step explanation:

A. x² = –100

This equation has no solution because x² is always positive.

B. 5x² = 1

then x² = 1/5

then x = 1/(√5) or x = -1/(√5)

C. 6x² + 17 = 11

then 6x² = 11 - 17 = -6

then x² = -6/6 = -1  

This equation has no solution because x² is always positive.

D. 7(x + 6) = 42

then x + 6 = 42/7 = 6

then x = 6 - 6 = 0

_____________________

:)

Answer:

The Supreme Court.

Step-by-step explanation:

After the end of the Civil War and the enactment of the Thirteenth Amendment in 1865, slavery was officially abolished in the United States. Thus, the millions of African American slaves that inhabited the southern states of the country won their freedom and equality before the law against whites.

Now this situation began to dismember in 1877, when federal troops left the southern states and Reconstruction officially came to an end. From then on, Democratic governors and legislators began to sanction the Black Codes and Jim Crow Laws, aimed at curtailing the civil and political rights of African-Americans.

This situation was tested before the Supreme Court in 1896 in the case Plessy v. Ferguson. But in the ruling of said case, the Supreme Court established that racial segregation was constitutional and therefore neglected African Americans and their rights.