john's commute time to work during the week follows the normal probability distribution with a mean time of 26.7 minutes and a standard deviation of 5.1 minutes. what is the probability that the commute time for a randomly selected day will be less than 18 minutes? group of answer choices

Answer: x = 28

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Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

she can subtract m < 1 from both sides of m < 1 + m < 2 = 180* and m < 1 + m < 3 = 180*

Step-by-step explanation:

IMAGINE MATH!1

Answer:

112 inches.

Step-by-step explanation:

L(k)=8(12)+2k

L(k)=96+2k

L(8)=96+2(8)

L(8)=96+16

L(8)=112in

Answer:

112 inches.

step by step

Y= 96 +2x

watch out for the change of units of feet and in.

Two ratios are proportional if after reducing them to thier lowest terms, they results are the same. By reducing to its lowest term, the numerator and denominator is divided by a common fraction until it cannot be reduced further.

For 20/35, if we divide the numerator and denominator by 5, it becomes

4/7

For 30/45, if we divide the numerator and denominator by 15, it becomes

2/3

Since the results are not equal, then the ratios are

Answer:

volume = l×b×h

5/4 ×4/3 × 3/5 = 1 cubic centimeter

Volume = length x width x height

5/4 x 4/3 = 20/12

20/12 x 3/5 = 60/60 = 1

Volume = 1 cm^3

The sum of two numbers is 13 more than twice the first number:

x + y = 2x +13

x - y = y - 14

solve the system of equations:

x - (x + 13) = (x +13) - 14

x = -12

y = 1

Answer:

m=8

Step-by-step explanation:

-5(-2 -8)=10+5m

10+40=10+5m -->distributive property

50=10+5m

50-10=10-10+5m--->canceling the 10

40=5m

m=8    (division property)

Answer:

C

Step-by-step explanation:

The equation of a parabola with vertex (h,k) is given by:

Starting from the given equation, complete the square to write the function in vertex form:

By comparing that equation with the vertex form of a parabola, we can see that h=1 and k=2.

Therefore, the vertex of the given quadratic polynomial, is:

Answer:

I think its -128x + 6

Step-by-step explanation:

Answer:

\(x=\frac{ln5}{5}\)

Step-by-step explanation:

Step 1: divide both sides by 4

\(4e^{5x}=20\\e^{5x}=5\)

Step 2: take the natural logarithm on both sides

\(ln e^{5x}=ln5\\5x=ln5\)

Step 3: Divide both sides by 5

\(x=\frac{ln5}{5}\)

Which is approximately 0.3218...

Step-by-step explanation:

tan‐¹ –3 I guess

Correct me if I am wrong

Answer:

-3

Step-by-step explanation:

in y=mx+b, m is the slope. There for -3 is the slope.  

Answer:

1

Step-by-step explanation:

17 + (-8) + (-8) = 17 + (-16)

                      = 1

If two numbers have same sign, then add and put the sign.

So, add (-8)and (-8), the result will have the sign (-).  -16

If two numbers have different sign, subtract and the result will have the sign of the bigger number.

17 and (-16) have different sign and the bigger number sign is +

So, the result is 1

Easy :PP

1

-8 + -8

=

-16

-16 + 17

=

1

Answer:

A). slope = -1/12         y-intercept = 3/2

Step-by-step explanation:

y = -1/12x + b

2 = -1/12(-6) + b

2 = 1/2 + b

3/2 = b

y = -1/12x + 3/2

The present value of a nation's net external wealth represents the current monetary value of a country's foreign assets, minus its foreign liabilities.

This includes financial assets such as stocks, bonds, and foreign currency reserves, as well as physical assets like real estate or infrastructure owned by a nation's residents in other countries. It also accounts for any foreign debt that the nation owes.
Net external wealth is an essential indicator of a country's financial stability and global economic position. A positive net external wealth indicates that the country's foreign assets exceed its liabilities, suggesting a strong financial standing. Conversely, a negative net external wealth implies that the country has more debt than assets, which may signal financial vulnerability.
In summary, the present value of a nation's net external wealth is a critical measure of its financial health, determined by the difference between its foreign assets and foreign liabilities.

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Answer:

The 55-inch television is a better buy

Step-by-step explanation:

The best way to determine the better buy would be to determine the actual value provided from each television in terms of cost per square inch of the television screen. Therefore, in order to calculate this, we would need to divide the total cost of each television by their respective screen size.

Television 1: $275.00 / 55 = $5 per square inch

Television 2: $379.00 / 75 = $5.05 per square inch

Therefore, based on these values we would say that The 55-inch television is a better buy since you are saving roughly $0.05 per square inch on that purchase when compared to the 75-inch screen. This method also works for any size TV including the 13-inch.

Answer:

4

Step-by-step explanation:

replace x , y and z with the values given for them

12x - 3y + 4x - z

12(3) - 3(13) + (4)(3) - 5

36 - 39 + 12 - 5 = 4

Answer:it is 5

Step-by-step explanation:

i got it on the k12 test

As a car dealer lowers a vehicle that was worth 18300 to 16000 by applying the formula of change in percentage we get that by 12.569 percentage (approximately) the price gets lowered .

The initial price of the car is set at P = 18300 (units)

The price after lowering drom P becomes A= 16000 (units)

Hence the change in price (or value) of the car, that is the price of the car is lowered by, C = (initial price - lowered price) = (P - A) = (18300 - 16000) units = 2300 units.

The formula for calculating percentage change is given as follows,

Change in percentage = [(Change in value)/ ( Initial value) ]*100

⇒Change in percentage = (C/ P)*100

⇒ Change in percentage =( 2300/ 18300)*100 = 12.569% (approximately)

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In 2006, the five mainline Protestant churches accounted for 83% of the total Protestant membership.

In 2006, the combined membership of the five mainline Protestant churches (Baptist, Episcopal, Lutheran, Methodist, and Presbyterian) was approximately 65% of the total Protestant membership. This can be expressed as a formula:

Proportion of Mainline Protestant Membership = (Baptist Membership + Episcopal Membership + Lutheran Membership + Methodist Membership + Presbyterian Membership) / Total Protestant Membership

To calculate the proportion of mainline Protestant membership in 2006, we can apply the formula:

Proportion of Mainline Protestant Membership = (9,277,000 + 2,231,000 + 5,255,000 + 8,422,000 + 2,866,000) / (14,280,000 + 9,277,000 + 2,231,000 + 5,255,000 + 8,422,000 + 2,866,000)

Proportion of Mainline Protestant Membership = 29,106,000 / 35,050,000

Proportion of Mainline Protestant Membership = 0.83, or 83%

Therefore, in 2006, the five mainline Protestant churches accounted for 83% of the total Protestant membership.

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Answer: Firstly the area of parallelogram is. = b×h. so value of base is 9cm and height is 45cm . So area is equal to. base×height. = 9×45= 405² cm.

405cm²

Answer:

reflection across the y- axis

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y )

Thus

The given transformation rule (x, y ) → ( - x, y )

Represents a reflection in the y - axis

The given composite set equality A ∩ B = (B\A)ΔB is false.

a) Graphically, A ∩ B represents the overlap between sets A and B. However, (B\A)ΔB represents the symmetric difference between the complement of A in B and B itself, which is not equal to the intersection of A and B.

b) Using basic set formulas, A ∩ B represents the elements common to both A and B, while (B\A)ΔB involves the elements in B that are not in A and the elements in B that are not in B. Since (B\A)ΔB contains elements not present in A ∩ B, the equality does not hold.

c) By comparing the cardinalities, A ∩ B has a certain number of elements, while (B\A)ΔB has a different number of elements, indicating that the sets are not equal.

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The solution to the system of equations y = 1.5x - 4 and y = -x  is (1.6,-1.6)

The equations are given as: y = 1.5x - 4 & y = -x

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables. Thus, we can write linear equations with n number of variables

Substitute y = -x in the first equation

-x = 1.5x - 4

Collect like terms

-1.5x - x = -4

Any set of values of x1, x2, x2,…xn which simultaneously satisfies the system of linear equations given above is called a solution of the system. If the system of equations has one or more solutions, the equations are called consistent. Also, if the system of equations does not admit any solution, then the equations are called inconsistent.

This gives

-2.5x = -4

Divide both sides by -2.5

x = 1.6

Substitute x = 1.6 in y = -x

y = -1.6

Hence, the solution to the system of equations is (1.6,-1.6).

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System of equation consists of two or more equations with unknow variables. A possible step used in eliminating the y-term is (y + z  6) *5

System of equation consists of two or more equatons with unknow variables.

Given the system of equations

y + z = 6

5y + 9z =1

In order to eliminate the variable "y", we will multiply equation 1 by 5 and subtract from equation 2;

5y + 5z = 30

5y + 9z = 1

Subtract

5z - 9z = 30 - 1

-4z =29

This leaves only the variable "z" eliminating variable. "y"

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The given ratio of 1.5 between 12 and 8 does not hold true. Dividing every other number by 1.5 would not yield the correct results.

The statement that the ratio between 12 and 8 is 1.5 is incorrect. The correct ratio between 12 and 8 is 1.5:1, which can also be expressed as 3:2. Dividing every other number by 1.5 would not produce the correct results.

To clarify, let's examine the division calculation provided: 2/1.5 = 1.33, 9/1.5 = 6, and 18/1.5 = 12. These results do not align with the correct ratio of 3:2.

If we divide 2 by 1.5, we get approximately 1.33, not 1. Dividing 9 by 1.5 yields 6, not 6. The same applies to the last calculation, where dividing 18 by 1.5 gives us 12, not 12.\

Therefore, the assertion that dividing every other number by 1.5 would result in the correct ratio is incorrect. It is crucial to ensure the accuracy of ratios when making calculations or comparisons.

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Answer:

Step-by-step explanation:

Answer:

Height of toy model liberty statue = 3 feet (Approx.)

Step-by-step explanation:

Given:

Height of real liberty statue = 152 feet

Scale factor = 2:101

Find:

Height of toy model liberty statue

Computation:

Scale factor = 2:101

1 feet toy model = 101 / 2 = 50.5 feet

Height of toy model liberty statue = Height of real liberty statue / Scale factor

Height of toy model liberty statue = 152 / 50.5

Height of toy model liberty statue = 3 feet (Approx.)

a.  The area enclosed by one loop of the curve is:

Area = 1/2 * ∫(1-cos²(10θ))dθ from θ₁ to θ₂

b. The area that it encloses r = 4 + 2 cos(θ) is:

Area = 1/2 * ∫((4 + 2 cos(θ))²)dθ from θ₁ to θ₂

a. To find the area enclosed by one loop of the curve r = sin(10θ), we can use the formula for the area of a polar region, which is:

Area = 1/2 * ∫(r²)dθ from θ₁ to θ₂

       Area = 1/2 * ∫(1-cos²(10θ))dθ fromθ₁ to θ₂

b. To find the area enclosed by one loop of the curve r = 4 + 2 cos(θ) we can use the same formula,

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Answer:

The quickest way to find the factors of a number is to divide it by the smallest prime number (bigger than 1) that goes into it evenly with no remainder. Continue this process with each number you get, until you reach 1

Find all the numbers less than or equal to the given number.

Divide the given number by each of the numbers.

The divisors that give the remainder to be 0 are the factors of the number.

Step-by-step explanation:

hope this helps

i also struggle in math i like math but 5th grade math is hard

so don't feel bad

Answer:

$8.90

Step-by-step explanation:

((2)(2.90))+(3.10)= $8.90

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