The electricity bill will be about $ When the average temperature reaches 100°F​

Answer:

a) [tex]\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}}) [/tex]

And replacing we got:

[tex]\bar X \sim N(\mu=25, \frac{4}{\sqrt{30}}= 0.730) [/tex]

b) [tex] z =\frac{27-25}{\frac{4}{\sqrt{30}}}= 2.739[/tex]

And using the normal standard distribution table and the complement rule we got:

[tex] P(z>2.739) =1- P(z<2.739) = 1-0.997= 0.003[/tex]

Step-by-step explanation:

From the info given if we define the random variable X as "amount of saturated fat in a daily serving of a particular brand of breakfast cereal " we know that the distribution of X is given by:

[tex] X \sim N(\mu =25, \sigma =4)[/tex]

Part a

For this case the sample size would be n =30 and then the distribution for the sample mean would be given by:

[tex]\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}}) [/tex]

And replacing we got:

[tex]\bar X \sim N(\mu=25, \frac{4}{\sqrt{30}}= 0.730) [/tex]

Part b

We want to find this probability:

[tex] P(\bar X >27)[/tex]

And we can use the z score formula given by:

[tex] z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

And replacing we got:

[tex] z =\frac{27-25}{\frac{4}{\sqrt{30}}}= 2.739[/tex]

And using the normal standard distribution table and the complement rule we got:

[tex] P(z>2.739) =1- P(z<2.739) = 1-0.997= 0.003[/tex]

Answer:

10 in

Step-by-step explanation:

Old proportions:

2 x 3

New proportions

h x 15

Assuming the painting has been increased by a constant scale factor.

Where x is the unknown scale factor, and h is the height after it has been enlarged.

[tex]3 * x = 15\\2 * x = h[/tex]

Rearrange second equation:

[tex]3 * x = 15\\x =\frac{h}{2}[/tex]

Substitute:

[tex]3*\frac{h}{2} =15\\\frac{h}{2}=5\\h=10[/tex]

Answer:

hey!

your answer is

10 inches

Step-by-step explanation:

the answer is this because,

15 inches is 3 inches times by 5

so we would have to times 2 inches by 5 to get 10 inches

so the dimensions would be 10 inches in length and 15 inches in width

hope this helps

Answer:

13

Step-by-step explanation:

I am assuming you mean y^2.  In this case, y = √169.  y = 13

Answer:

slope = -4/5

Step-by-step explanation:

A line passes two points (x1, y1) and (x2, y2).

The slope of this line can be calculate by the formula:

s = (y2 - y1)/(x2 - x1)

=>The line that passes A(-4, 8) and B(-9, 12) has the slope:

s = (12 - 8)/(-9 - -4) = 4/(-5) = -4/5

Hope this helps!

Answer:

[tex](f+g)(x)=x^2-x-3[/tex]

Step-by-step explanation:

If [tex]f(x)=2x-1[/tex], and [tex]g(x)=x^2-3x-2[/tex], then the addition [tex](f+g)(x)[/tex] equals:

[tex](f+g)(x)=2x-1+x^2-3x-2=x^2-3x+2x-2-1=x^2-x-3[/tex]

Answer:

x = -6

Step-by-step explanation:

Let the number be x

Condition:

=> 10-3x = x+22

Let's Solve it:

=> -3x-x = 22-10

=> -2x = 12

Dividing both sides by -2

=> x = -6

Answer:

x=6

Step-by-step explanation:

Answer:

[tex]d\approx 125\:m[/tex]

Step-by-step explanation:

[tex]sin\left(26\right)=\frac{55}{d}\\\\d\approx 125\:m[/tex]

Best Regards!

Answer:

At  α= 0.05, there is enough evidence to support the claim that the average rent has increased from $2800.

P-value = 0.001.

Step-by-step explanation:

The question is incomplete:

The average monthly rent for a one bedroom apartment in NYC was $2,800 in 2013. A random sample of 16 apartments in NYC showed that the average rent is $2,850 with standard deviation of $50. . Test the claim that the average rent has increased at α= 0.05.

This is a hypothesis test for the population mean.

The claim is that the average rent has increased from $2800.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=2800\\\\H_a:\mu> 2800[/tex]

The significance level is 0.05.

The sample has a size n=16.

The sample mean is M=2850.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=50.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{50}{\sqrt{16}}=12.5[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{2850-2800}{12.5}=\dfrac{50}{12.5}=4[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=16-1=15[/tex]

This test is a right-tailed test, with 15 degrees of freedom and t=4, so the P-value for this test is calculated as (using a t-table):

[tex]\text{P-value}=P(t>4)=0.001[/tex]

As the P-value (0.001) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average rent has increased from $2800.

Answer:

y = -2x^2(x - 3)

Step-by-step explanation:

Preliminary Remark

If a cubic is tangent to the x axis at 0,0

Then the equation must be related to y = a*x^2(x - h)

(3,0)

If the cubic goes through the point (3,0), then the equation will become

0 = a*3^2(3 - h)

0 = 9a (3 - h)

0 = 27a - 9ah

from which h = 3

From the second point, we get

4 = ax^2(x - 3)

4 = a(1)^2(1 - 3)

4 = a(-2)

a = 4 / - 2

a = -2

Answer

y = -2x^2(x - 3)

Check out the steps shown below in the attached image to see how I got the answer.

The rules I used were

[tex]\sqrt[m]{x} = x^{1/m}[/tex]

and

[tex](a^b)^c = a^{b*c}[/tex]

Answer:

A

Step-by-step explanation:

We can use the trigonometric ratios. Recall that sine is the ratio of the opposite side to the hypotenuse:

[tex]\displaystyle \sin(C)=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]

The opposite side with respect to ∠C is 24 and the hypotenuse is 26.

Hence:

[tex]\displaystyle \sin(C)=\frac{24}{26}=\frac{12}{13}[/tex]

Our answer is A.

Answer:  see table below

Step-by-step explanation:

Simply add the digit on the left to the digit on the top

1, 2 --> 1 + 2 = 3

3, 4 --> 3 + 4 = 7

4, 2 --> 4 + 2 = 6

6, 6 --> 6 + 6 = 12

[tex]\begin{array}{c|c|c|c}&\underline{\quad 2\quad }&\underline{\quad 4\quad }&\underline{\quad 6\quad }\\\underline{\quad 1 \quad}&\bold{\underline{\quad 3\quad}}&\underline{\quad 5\quad}&\underline{\quad 7\quad}\\\underline{\quad 2 \quad}&\underline{\quad 4\quad }&\underline{\quad 6\quad }&\underline{\quad 8\quad}\\\underline{\quad 3 \quad}&\underline{\quad 5\quad }&\bold{\underline{\quad 7\quad}}&\underline{\quad 9\quad}\\\end{array}[/tex]

[tex]\begin{array}{c|c|c|c}{\underline{\quad 4 \quad}&\bold{\underline{\quad 6\quad }}&\underline{\quad 8\quad }&\underline{\quad 10\quad }\\\underline{\quad 5 \quad}&\underline{\quad 7\quad}&\underline{\quad 9\quad}&\underline{\quad 11\quad}\\\underline{\quad 6 \quad}&\underline{\quad 8\quad }&\underline{\quad 10\quad }&\bold{\underline{\quad 12\quad}}\\\end{array}[/tex]

Answer:

y - 4 = 4 (x + 3)

Step-by-step explanation:

Point-slope form is y - y1 = m (x - x1)

y1 is 4, m is 4, and x1 is -3

When you plug them in, you get: y - 4 = 4 (x + 3)

Note: (x - -3) becomes (x + 3)

I hope this helps!!

Answer:

Real Rate of Return = 4.9%  and Nominal rate = 0.08 or 8%

Real Rate of Return = 2.9%  and Nominal rate = 0.081 or 8.1%

real rate = 5 %   and Nominal rate = 0.0815 or 8.15%

real rate = 3%  and Nominal rate = 0.0815 or 8.15%

Step-by-step explanation:

given data

time period = 2 year

Coupon rate = 8% =  0.08

Inflation rate 1st year = 3% =  0.03

Inflation rate 2nd year = 5% =  0.05

solution

we get here Real Rate of Return  that is express as

Real Rate of Return = (Coupon Rate - Inflation rate) ÷ (1+Inflation rate)   .........1

so that here 1st year Real return  will be

Real Rate of Return = (0.08 - 0.03) ÷ (1+0.03)

solve it we get

Real Rate of Return = 4.9%

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ............2

(1 + nominal rate) = (1 + 0.049) × (1 + 0.03)

Nominal rate = 0.08 or 8%

and

for 2nd year Real return  will be

Real Rate of Return = (0.08 - 0.05) ÷ (1+0.05)

solve it

Real Rate of Return = 2.9%

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ............3

(1 + nominal rate) = (1 + 0.029) × (1 + 0.05)

Nominal rate = 0.081 or 8.1%

and

now for the bond Treasury Inflation-Protected Securities, we get real and nominal return that is

for 1st year

Real rate = Coupon rate - Inflation     ...............4

Real rate = 0.08 - 0.03

real rate = 0.05

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ................5

(1 + nominal rate) = (1 + 0.05) × (1 + 0.03)

so

Nominal rate = 0.0815 or 8.15%

and for 2nd years  it will be

Real rate = Coupon rate - Inflation      ....................6

Real rate = 0.08 - 0.05

real rate = 0.03

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ...................7

(1 + nominal rate) = (1 + 0.03) × (1 + 0.05)

so

Nominal rate = 0.0815 or 8.15%

Answer:

44.80% probability that in a given week he will sell 2 or more policies but less than 4 policies.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

A life insurance salesman sells on the average 3 life insurance policies per week.

This means that [tex]\mu = 3[/tex]

Calculate the probability that in a given week he will sell 2 or more policies but less 4 policies.

[tex]P(2 \leq X < 4) = P(X = 2) + P(X = 3)[/tex]

In which

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240[/tex]

[tex]P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240[/tex]

[tex]P(2 \leq X < 4) = P(X = 2) + P(X = 3) = 0.2240 + 0.2240 = 0.4480[/tex]

44.80% probability that in a given week he will sell 2 or more policies but less than 4 policies.

Answer:

  -3/2

Step-by-step explanation:

If the first equation is 9x +3/4y = 6, then the solution would look like this:

  [tex]\left(9x+\dfrac{3}{4}y\right)-\dfrac{3}{2}\left(2x+\dfrac{1}{2}y\right)=(6)-\dfrac{3}{2}(9)\\\\6x=-\dfrac{15}{2}\\\\x=-\dfrac{15}{12}=-\dfrac{5}{4}\\\\2\left(-\dfrac{5}{4}\right)+\dfrac{1}{2}y=9\ \longrightarrow\ y=2\left(9+\dfrac{5}{2}\right)=23[/tex]

An appropriate multiplier is -3/2.

Answer:

Its D The Last Graph

Step-by-step explanation:

it just is my guy

Answer:

The answer is the first option. ΔRED ~ ΔTAN

Step-by-step explanation:

This is because the letters should be in the same order. Notice how T and R are in the same spots so are E and A, as well as D and N.

Answer: C

Step-by-step explanation:

Looking at the graph, we can see that the y-intercept is 16. Know this, we can automatically eliminate A, B, and D. To be sure, we should also check to make sure C is our right answer.

To find the slope, we cna take any 2 points and fill in the equation [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. Let's use (8,0) and (6,4).

[tex]m=\frac{4-0}{6-8} =\frac{4}{-2} =-2[/tex]

In answer choice C, the slope is -2. Therefore, C is the correct answer.

Answer:  C) CD has dimensions 7 x 7

Step-by-step explanation:

When multiplying matrices the number of rows of the first matrix MUST equal the number of columns of the second matrix. I call these the "inside" numbers. The resulting dimension will be the "outside" numbers.

                 [7 x 2] × [2 x 7]

                        ↓     ↓

                        inside             These must match!

                [7 x 2] × [2 x 7]

                 ↓                  ↓

                       outside             These are the dimensions!

                7          ×        7        are the dimensions of CD

Answer:

tan (∠x) = yz/yx

Step-by-step explanation:

Tangent is opposite over hypotenuse (or in unit circle case sin∅/cos∅)

If this is the case, then the opposite side of ∠x would be segment yz and the adjacent side of ∠x would be segment yx. Then you put your answer as tan (∠x) = yz/yx

Answer:

{-1, -8}

Step-by-step explanation:

Please enclose "1 - 3x" inside parentheses so the reader will know that you want the square root of all of "1 - 3x".

Squaring both sides of the given equation, we get:

1 - 3x = x^2 + 6x + 9, or  x^2 + 6x + 8 + 3x, or

x^2 + 9x + 8 = 0.  Factoring, we get:  (x + 8)(x + 1) = 0, so that the solutions are {-1, -8}.

Answer:

I hope the given equation is :

{-1, -8}

First step to solve this equation to remove square root from the left side. So, take square on each sides of the equation. Therefore,

1 - 3x = (x + 3)²

1 - 3x = (x + 3)*(x + 3) Since a² = a * a

1 - 3x = x² + 3x + 3x + 3² By multiplication.

1 - 3x = x² + 6x + 9 Combine the like terms.

x² + 6x + 9 - 1 + 3x = 0 Subtract 1 and add 3x from each sides of equation

x² + 9x + 8 = 0 Combine the like terms.

Next step is to factor the trinomial to solve the above equation for x.

For that break downn the constant 8 into two multiples so that the addition of the multiples will result the coefficient of x = 9.

So, 8 = 1 * 8

Addition of 1 and 8 will give 9. So, next step is to replace 9x with 1x + 8x. So,

x² + 1x + 8x + 8 = 0

(x² + 1x) + (8x + 8) = 0 Group the terms.

x ( x + 1) + 8 (x + 1 ) = 0 Take out the common factor from each group.

(x +1 ) ( x + 8 ) = 0 Take out the common factor (x + 1).

So, x + 1 = 0 and x + 8 = 0 Set up each factor equal to 0.

Hence, x = -1 and - 8.

Next step is to plug in -1 and -8 in the original equation to cross check the solutions.

For x = -1,

Simplify each sides separately.

2 = 2

2 = 2 is correct. So, x = -1 satisfy the equation.

Hence, x = -1 is the real solution of the given equation.

Similarly let's plug in x = -8 now. So,

Simplify each sides separately.

5 = 2

5 = 2 is not true. So, x = -8 is the extraneous solution.

Therefore, the only solution is x = -1.

Hence, the correct choice is C.

Hope this helps you!

Step-by-step explanation:

mark brainlies plssssssssss

Answer:

0.8

Step-by-step explanation:

Original price= $65

Sale discount= 20%

Discounted price= $65*(100-20)/100= $65*0.8= $52

Answer:

20%

step by step explanation:

65×20/100

65×1/5

13×1

$13.

subtract $13 from $65

$65-13=$52

Answer: 3.9

Step-by-step explanation: Khan Academy

The length of BD if The angle ∠ DAC is equal to the angle ∠ BAD is 3.92.

Three straight lines coming together create a triangle. There are three sides and three corners on every triangle (angles). A triangle's vertex is the intersection of two of its sides. Any one of a triangle's three sides can serve as its base, however typically the bottom side is used.

Given:

The angle ∠ DAC = angle ∠ BAD

As we can see that the triangle BAD and triangle DAC are similar By SAS similarity,

AC / AB = CD / BD  (By the proportional theorem of similarity)

5.6 / 5.1 = 4.3 / BD

1.09 = 4.3 / BD

BD = 4.3 / 1.09

BD = 3.92

Thus, the length of BD is 3.92.

To know more about Triangles:

https://brainly.com/question/16886469

#SPJ2

Answer: l=(S-πr²)/π

Step-by-step explanation:

To solve for l, we use our algebraic rules to get l alone.

S=πl+πr²            [subtract πr² on both sides]

S-πr²=πl             [divide both sides by π]

(S-πr²)/π=l

Answer:

C .  L= S/n - r squared

Step-by-step explanation:

This is how I figured it out so I don't know if it's the way.

So the formula is S= πl + πr squared

If you were trying to find l then you would start with l =

Then S and since S does not already have π next to it then we need to divide π and s so then it would look like

l = S/π

Next since in the original formula they added then you subtract to find L

l = S/π -

Then just add r squared.

l = S/π - r squared

I don't know if my logic makes sense to you, but it  really helped me out so. You welcome!

I got it right on Ed. so I don't know

Answer:

a) The volume of the wooden block is 240 cm^3.

b) The density of the wooden block is 0.7 g/cm^3.

Step-by-step explanation:

The volume of the rectangular wooden block can be calculated as the multiplication of the length in each dimension: length, wide and height.

With dimensions 10 cm x 3 cm x 8 cm, the volume is:

[tex]V=L\cdot W\cdot H = 10\cdot 3\cdot 8=240[/tex]

The volume of the wooden block is 240 cm^3.

If we know that the mass of the wooden block is 168 g, we can calculate the density as:

[tex]\rho = \dfrac{M}{V}=\dfrac{168}{240}=0.7[/tex]

The density of the wooden block is 0.7 g/cm^3.

Answer:

Yes. In base 4 numbers if a number ends with 0 or 2 then it is an even number. If it ends with 1 or 3 then it is an odd number.

Step-by-step explanation:

The first 13 numbers in base 4 are written in brackets next to their corrsponding decimal number below

decimal number 0(0) ,1 (1) ,2(2), 3(3), 4(10), 5(11), 6(12), 7(13), 8,(20), 9(21), 10(22), 11(23), 12(30), 13(31) and so on

From above we can deduce that in base-4 any number ending with 0 or 2 is an even nmuber and any number ending with 1 or 3 is an odd number

Answer:

2√3

Step-by-step explanation:

Step 1: Find perfect square roots

√4 x √3

Step 2: Convert

2 x √3

Step 3: Answer

2√3