A rectangle has length 4 inches and width 2 inches. If the length and width of the rectangle are
reduced by 50 percent, by what percent will the area of the rectangle be reduced?
40 percent
50 percent
60 percent
75 percent

Answer:

x = 3/2

y = 2

z = 3/2

Step-by-step explanation:

There are multiple methods to solve these. Message me for the method you need to see step by step.

Answer:

The answer is option B

Step-by-step explanation:

To solve for x we use tan

tan ∅ = opposite / adjacent

From the question

The adjacent is x

The opposite is 19

So we have

tan 29 = 19/ x

x = 19/ tan 29

x = 34.276

Hope this helps

Answer:

x ≈ 34.28

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan29° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{19}{x}[/tex] ( multiply both sides by x )

x × tan29° = 19 ( divide both sides by tan29° )

x = [tex]\frac{19}{tan29}[/tex] ≈ 34.28 ( to the nearest hundredth )

Answer:

x = 3,0

Step-by-step explanation:

x²-3x=0

1- x(x - 3) = 0

2- x = 0 , x = 3

Answer:

X1=0    X2=3

Step-by-step explanation:

Factorize x²-3x=x*(x-3)=0

So x=0  or  x-3=0

SO x1=0 x2-3=0

x2=3

Answer:

A. 4.4 units²

Step-by-step explanation:

Area of a Triangle: A = 1/2bh

sin∅ = opposite/hypotenuse

cos∅ = adjacent/hypotenuse

Step 1: Draw the altitude down the center of the triangle

- We should get a perpendicular bisector that creates 90° ∠ and JM = KM

- We should also see that we use sin∅ to find the h height of the triangle and that we use cos∅ to find length of JM to find b base of the triangle

Step 2: Find h

sin70° = h/3.7

3.7sin70° = h

h = 3.47686

Step 3: Find b

cos70° = JM/3.7

3.7cos70° = JM

JM = 1.26547

Step 4: Find entire length base JK

JM + KM = JK

JM = KM (Definition of Perpendicular bisector)

2(JM) = JK

2(1.26547) = 2.53095

b = 2.53095

Step 5: Find area

A = 1/2(3.47686)(2.53095)

A = 4.39988

A ≈ 4.4

Answer:

88

Step-by-step explanation:

M : R

3 : 7

R : E

1 : 2

So make Ryan equal

1×7=7

2×7=14

tfo R : E

7 : 14

then add all 3forM+7forR+14forE = 24

192/24=8

so for Ethan, 8×14=112and for Marc, 8×3=24

therefore Ethan has 112-24=88 more stickers than Marc

Answer:

(a)11

(b)12

Step-by-step explanation:

The first term, a = 1

The last term, l=121

Sum of the series, [tex]S_n=671[/tex]

Given an arithmetic series where the first and last term is known, its sum is calculated using the formula:

[tex]S_n=\dfrac{n}{2}(a+l)[/tex]

Substituting the given values, we have:

[tex]671=\dfrac{n}{2}(1+121)\\671=\dfrac{n}{2} \times 122\\671=61n\\$Divide both sides by 61\\n=11[/tex]

(a)There are 11 terms in the arithmetic progression.

(b)We know that the 11th term is 121

The nth term of an arithmetic progression is derived using the formula:

[tex]a_n=a+(n-1)d[/tex]

[tex]a_{11}=121\\a=1\\n=11[/tex]

Therefore:

121=1+(11-1)d

121-1=10d

120=10d

d=12

The common  difference between them​ is 12.

Answer:

Hey there!

A=1/2bh

14=1/2(28)h

14=14h

h=1

Hope this helps :)

Answer:

Step-by-step explanation:

Area of a triangle is

[tex] \frac{1}{2} \times b \times h[/tex]

where b is the base

h is the height

From the question

Area = 14in²

b = 14 inches

So we have

[tex]14 = \frac{1}{2} \times 28 \times h[/tex]

which is

[tex]14 = 14h[/tex]

Divide both sides by 14

That's

[tex] \frac{14}{14} = \frac{14h}{14} [/tex]

We have the final answer as

h = 1

Therefore the height is 1 inch

Hope this helps you

A slope is also known as the gradient of a line is a number. The correct option is B.

A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

slope = (y₂-y₁)/(x₂-x₁)

The rate of change shown in the graph is the slope of the given line.

Now, to know the slope of the line consider any two points on the line, such as (0,0) and (5,400).

Therefore, the slope of the line can be written as,

Slope, m = ($400 - $0)/(5-0) hour

               = $400/5 hour

               = $80/hour

Learn more about Slope of Line:

https://brainly.com/question/14511992

#SPJ2

Answer:

Option (1)

Step-by-step explanation:

In the graph attached,

There are three intervals of the function graphed.

1st interval → -∞ < x < -3

2nd interval → -3 ≤ x ≤ 2

3rd interval → 2 < x < ∞

In the 1st interval, value of the function is constant. [represented by a straight horizontal line]

In the second interval, line graphed is slanting down. (slope of the line is negative).

Therefore, value of the function is decreasing in -3 ≤ x ≤ 2

In 3rd interval, slope of the line is positive. Therefore, function is increasing in the 3rd interval.

Option (1) will be the answer.

Answer: -3 ≤ x ≤ 2 is correct

Step-by-step explanation: I just took the exam :)

Answer:

your third answer

Step-by-step explanation:

its easy just plug in each domain into your function and the result will be the range

Answer:

$12,000

Step-by-step explanation:

By paying the minimum rent, the tenant would pay $1000 * 12 = $12,000.

Rent cannot be less than $12,000.

If the 2% of sales is greater than $12,000, then 2% of sales becomes the rent.

Now we calculate 2% of annual sales.

2% * $435,000 = $8,700

Since the minimum rent, $12,000, is greater than 2% of sales, then rent is $12,000.

Answer:

The answer is option C

Step-by-step explanation:

To find the indicated angle we use sine

sin ∅ = opposite / hypotenuse

From the question

The opposite is 37

The hypotenuse is 41

So we have

sin ? = 37/41

? = sin-¹ 37/41

? = 64.4805

Hope this helps you

Answer:

C.) 64

Step-by-step explanation:

I got it correct on founders edtell

Answer:

min = -9

max =3

Step-by-step explanation:

C = x-3y

x ≥0

x≤3

y≥0

y≤3

The minimum will be be when x is smallest and y is at its max

x =0 and y = 3

C = 0 - 3(3)

C = 0-9 = -9

The minimum is -9

The maximum occurs when x is largest and y is smallest

x =3 and y = 0

C = 3 - 3(0)

C = 3-0 = 3

The max is 3

Answer:

The 95% confidence interval of mean wake time for a population with treatment is between 86.2401 and  108.7599 minutes.

This interval contains the mean wake time before treatment and which does not prove to be effective

Step-by-step explanation:

GIven that :

sample size n = 17

sample mean [tex]\overline x[/tex] = 97.5

standard deviation [tex]\sigma[/tex] = 21.9

At 95% Confidence interval

the level of significance ∝ = 1 - 0.95

the level of significance ∝ =  0.05

[tex]t_{\alpha/2} = 0.025[/tex]

Degree of freedom df = n - 1

Degree of freedom df = 17 - 1

Degree of freedom df = 16

At ∝ =  0.05 and df = 16 , the two tailed critical value from the t-table [tex]t_{\alpha/2 , 16}[/tex] is :2.1199

Therefore; at 95% confidence interval; the mean wake time is:

= [tex]\overline x \pm t_{\alpha/2,df} \dfrac{s}{\sqrt{n}}[/tex]

= [tex]97.5 \pm 2.1199 \times \dfrac{21.9}{\sqrt{17}}[/tex]

= 97.5 ± 11.2599

= (86.2401 , 108.7599)

Therefore; the mean wake time before the treatment was 104.0 min

The 95% confidence interval of mean wake time for a population with treatment is between 86.2401 and  108.7599 minutes.

This interval contains the mean wake time before treatment and which does not prove to be effective

Answer:

Step-by-step explanation:

First step is using a linear regression equation:

In a linear regression model y = b0 + b1x

where y be the response variable

and x be the predictor variable.

let b1  = slope

b0 = intercept of the line.

Let the variable ratings be by denoted by x and the variable price be denoted by y.

From the given information it is known that, price (y) is response variable and ratings (x) predictor variable.

Therefore, price can be predicted using ratings.

Second step is to obtain the regression equation of the variables price (y) and ratings (x):

so the slope of the regression equation is 120 and the y-intercept is -353.

then b0 = -353

therefore,

(price)y = b0 + b1x (ratings)

y = -353 + 120x

The equation of the regression line is y = -353 + 120x.

Given that,

Based on the above information, the equation is as follows:

y = -353 + 120x

Learn more: brainly.com/question/17429689

Answer:

See explanation

Step-by-step explanation:

Miguel wins $2 is if he pulls two chips with the number 1.  

Probability of winning is:

Probability of loosing is:

Missing values we found in the step 1, can be populated in the table:

Expected Value as per table data:

Expected value is $1/2 loss each time he plays

To make the game fair, the expected value should be zero.

Then as per the calculation above, let's replace 2, with x, and find its value.

So the amount should be $5 to make the game fair.

Answer:

L = -25 and  δ = 0.02

Step-by-step explanation:

The function f, point [tex]x_0[/tex] and ε is missing in the question.

The function, f is f(x) = - 4x - 9

           point,  [tex]x_0[/tex] = 4

        epsilon, ε = 0.08

So by the definition of limit,

      [tex]\lim_{x \rightarrow x_0} f(x)= L[/tex]

Therefore,

[tex]\lim_{x \rightarrow 4} (-4x-9)[/tex]

L= -4(4)-9

L= -16-9

L= -25

So, for every ε > 0, for all δ > 0 such that

|f(x) - L| < ε   [tex](0<|x-x_0|< \delta)[/tex]

[tex]|f(x)-L|<\epsilon \\|(-4x-9)-(-25)|<0.08\\|-4x+16|<0.08\\|-4(x-4)|<0.08\\|-4||x-4|<0.08\\4|x-4|<0.08\\|x-4|<\frac{0.08}{4}\\|x-4|<0.02\\0<|x-4|<0.02 \ \ \ \ \text{ comparing with}\ 0<|x-x_0|< \delta \\ \therefore \delta = 0.02[/tex]      

Answer:

(0,7) and (7,0)

Step-by-step explanation:

When x = 0, y = 7

When y = 0, x = 7

The solution to this equation is: (0,7) and (7,0) and can be graphed on a cartesian plane like the attached graph.

Answer:

x≤9  

Step-by-step explanation:

x−15≤−6

Add 15 to each side

x−15+15≤−6+15

x≤9  

Answer:

[tex]\boxed{x\leq 9}[/tex]

Step-by-step explanation:

[tex]x-15 \leq -6[/tex]

[tex]\sf Add \ 15 \ to \ both \ parts.[/tex]

[tex]x-15 +15 \leq -6+15[/tex]

[tex]x\leq 9[/tex]

Answer:  m = -5

Step-by-step explanation:

[tex]\dfrac{m+3}{m^2+4m+3}-\dfrac{3}{m^2+6m+9}=\dfrac{m-3}{m^2+4m+3}\\\\\\\dfrac{m+3}{(m+3)(m+1)}-\dfrac{3}{(m+3)(m+3)}=\dfrac{m-3}{(m+3)(m+1)}\quad \rightarrow m\neq-3, m\neq-1[/tex]

Multiply by the LCD (m+3)(m+3)(m+1) to eliminate the denominator. The result is:

(m + 3)(m + 3) - 3(m + 1) = (m - 3)(m - 3)

Multiply binomials, add like terms, and solve for m:

(m² + 6m + 9) - (3m + 3) = m² - 9

    m² + 6m + 9 - 3m - 3 = m² - 9

                  m² + 3m + 6 = m² - 9

                           3m + 6 =  -9

                                  3m = -15

                                    m = -5  

Answer:

3.33333333 . . .

Step-by-step explanation:

Answer:

3.33333333

Step-by-step explanation:

Its a forever number, i forgot the term i think its called a terminal number, or nonterminal i forget. You divide 10 / 3 and get 3.33333333333333333333 forever

Answer:

-2/9

Step-by-step explanation:

When you multiply a number by its multiplicative inverse, you should get 1. So, the multiplicative inverse (or reciprocal) of -9/2 is 1/(-9/2) which is -2/9. You can get the answer by simply flipping the numerator and denominator.

Answer:

RA

Step-by-step explanation:

A range for the values of x:

-2, -1, 0, 1, 2,

Happy to help! You can certainly extend this range

Answer:

0.6127 = 61.27% probability of guessing 6 or more questions correctly.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either you guess the correct answer, or you do not. The probability of guessing the correct answer of a question is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

12 questions:

This means that [tex]n = 12[/tex]

True-false:

Two options, one of which is correct. So [tex]p = \frac{1}[2} = 0.5[/tex]

Find the probability of guessing 6 or more questions correctly.

[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 6) = C_{12,6}.(0.5)^{6}.(0.5)^{6} = 0.2256[/tex]

[tex]P(X = 7) = C_{12,7}.(0.5)^{7}.(0.5)^{5} = 0.1934[/tex]

[tex]P(X = 8) = C_{12,8}.(0.5)^{8}.(0.5)^{4} = 0.1208[/tex]

[tex]P(X = 9) = C_{12,9}.(0.5)^{9}.(0.5)^{3} = 0.0537[/tex]

[tex]P(X = 10) = C_{12,10}.(0.5)^{10}.(0.5)^{2} = 0.0161[/tex]

[tex]P(X = 11) = C_{12,11}.(0.5)^{11}.(0.5)^{1} = 0.0029[/tex]

[tex]P(X = 12) = C_{12,12}.(0.5)^{12}.(0.5)^{0} = 0.0002[/tex]

[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) = 0.2256 + 0.1934 + 0.1208 + 0.0537 + 0.0161 + 0.0029 + 0.0002 = 0.6127[/tex]

0.6127 = 61.27% probability of guessing 6 or more questions correctly.

Answer:

L = [tex]\frac{V}{HW}[/tex]

Step-by-step explanation:

Given

V = LHW ( isolate L by dividing both sides by HW )

[tex]\frac{V}{HW}[/tex] = L

Answer:

[tex]l = \frac{v}{w \times h} [/tex]

Step-by-step explanation:

[tex]v = l \times w \times h = \frac{v}{w \times h} = \frac{l \times h \times w}{w\times h} = l = \frac{v}{w \times h} [/tex]

Hope this helps ;) ❤❤❤

Answer:

-10

-5 * 2 = -10

Hope this is right

Answer:

7y⁴- 10yz - y²z - 5

Step-by-step explanation:

First collect like terms

3y²+ 4y²- 6yz - 4yz - y²z - 7+2

7y⁴-10yz - y²z - 5

Answer:

Its C

Step-by-step explanation:

Answer:

With a 85% confidence level you'd expect the teenage boys to be on average between [29.217; 30.783]cm taller than the girls.

Step-by-step explanation:

Hello!

Given the variables:

X₁: height of a teenage boy.

n₁= 46

[tex]\frac{}{X}[/tex]₁= 195cm

S₁²= 58cm²

X₂= height of a teenage girl

n₂= 66

[tex]\frac{}{X}[/tex]₂= 165cm

S₂²= 75cm²

If the boys are taller than the girls then you'd expect μ₁ > μ₂ or expressed as a difference between the two population means: μ₁ - μ₂ > 0

To estimate the difference between both populations you have to calculate the following interval:

([tex]\frac{}{X}[/tex]₁- [tex]\frac{}{X}[/tex]₂) + [tex]t_{n_1+n_2-2; 1-\alpha /2}[/tex] * [tex]\sqrt{\frac{S_1}{n_1} +\frac{S_2}{n_2} }[/tex]

[tex]t_{n_1+n_2-2; 1-\alpha /2}= t_{110; 0.925}= 1.450[/tex]

Point estimate: ([tex]\frac{}{X}[/tex]₁- [tex]\frac{}{X}[/tex]₂) = (195-165)= 30

Margin of error:[tex]t_{n_1+n_2-2; 1-\alpha /2}[/tex] * [tex]\sqrt{\frac{S_1}{n_1} +\frac{S_2}{n_2} }[/tex]= 1.450*0.54= 0.783

30 ± 0.783

[29.217; 30.783]

With a 85% confidence level you'd expect the teenage boys to be on average between [29.217; 30.783]cm taller than the girls.

I hope this helps!