assume that y is normally distributed n​ (​, 2​). moving from the mean ​(​) 1.96 standard deviations to the left and 1.96 standard deviations to the​ right, then the area under the normal p.d.f.​ is:

The measure of the sides of rectangle is 14cm.

Each pair of neighboring sides in a rectangle are perpendicular, making it a special case of a parallelogram. A parallelogram is a specific type of trapezium, also referred to as a trapezoid in North America, in which the lengths of the two pairs of opposite sides are parallel. A quadrilateral with four right angles is a rectangle. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equal sides.

Given that,

One side of rectangle is 5cm than the other side.

Its perimeter is 38 cm.

P = 2b +2 h

38= 2b+ 2(5)

38= 2b+ 10

38-10= 2b

28= 2b

b = 28/2

b= 14cm.

Therefore, the measure of the sides is 14cm.

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13.4 dollars.

This is the total amount Kelly deposit when she opened the account.

Here,

The total amount is determined by:

               F=I(1+rt)

Where

Here given ,

r = 1.2%

t = 7

F = $126

As a result,

I = F/(1+rt)

= 126/1+1.2*7

= 13.4 dollars.

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Based on the graph given on the height of the helicopter, the slope and y-intercept of the function would be:

To find the slope of the line om the height of the helicopter, the formula is:

= Change in y / Change in x

= (100 - 50) / (5 - 0)

= 50 / 5

= 10

The y-intercept takes the form b in the linear equation model:

y = mx + b

100 = 10(5) + b

b = 100 - 50

b = 50

The slope is 10 and the y-intercept is 50.

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Number line with open circles on -4 and -2, with shading in opposite directions.

Given: 2 |x + 3| +1 > 3 absolute value inequality.

We must solve and graph the following absolute value inequality:

2 |x + 3| +1 > 3

Take a look at the following absolute value inequality: 2 |x + 3| +1 > 3

We have to apply absolute rule:

If |u| > a , a > 0 then u < -a or u > a.

2|x + 3|+1 < -3 or 2|x + 3|+1  >3

Consider inequality first.

2|x + 3|+1 < -3

When we subtract 1 from both sides, we get,

2|x + 3| +1 -1 < -3 -1

Simplify,

2 |x + 3| < -4

We get by dividing both sides by two,

(2|x + 3|)/2 < -4/2

|x + 3| < -2

There is no solution for x ∈ R.

Now consider the second inequity.

2|x + 3|+1  >3

When we subtract 1 from both sides, we get,

2|x + 3|+1 - 1  >3 - 1

Simplify,

2|x + 3|  >2

We get by dividing both sides by two,

(2|x + 3|) / 2  >3/2

|x + 3| > 1

x + 3 < -1 or x + 3 >1

x < -4 or x > -2

As a result, we have the solution to the absolute value inequality:

2|x +3|+1  > 3 as

On the number line shown below.

On the graph shown below.

As a result, the number line has open circles on -4and -2, with shading going in opposite directions.

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Answer:

(10, -3)

Step-by-step explanation:

It is stated in the given information.

When the scale on a map is 1 : 30000, the actual distance represented by 1 centimetre is 300 meters.

It should be noted that in order to get the distance, we have to convert 1cm to meter. It should be noted that;

100cm = 1 meter

1cm = 1/100 = 0.01 meters.

Therefore, when the scale on a map is 1 : 30000, the actual distance represented by 1 centimetre will be:

= (0.01 × 300000)

= 300 meters.

Therefore, the distance is 300m

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Using the alternate exterior angles theorem, the value of x is: 127°.

When two parallel lines are intersected by a transversal to form alternate exterior angles that lie outside on each of the parallel lines, the alternate exterior angles theorem states that both angles are equal or congruent to each other.

From the diagram given, we are told that line m is parallel to line n.  transversal t crosses both lines  and n. The angles, x and 127 degrees are alternate exterior angles that lie on each parallel lines.

Therefore, the alternate exterior angles theorem states that, both angles would be equal.

Thus, we can conclude that, x = 127°.

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The ratio of shots made to the shots missed for each player will be:

Angela = 4:1

Emily.= 3:1

Christina = 7:3

It should be noted that from the information given, Angela made 12 shots and missed 3 shots. Therefore the ratio is:

= 12/3

= 4/1

= 4:1

Emily made 15 shots and missed 5 shots. Therefore the ratio is:

= 15/5

= 3/1

= 3:1

Christina made 21 shots and missed 9 shots. Therefore the ratio is:

= 21/9

= 7/3

= 7:3

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Information regarding various dogs' masses is displayed in the table.

(a) 4 bare minimum number of dogs that could weigh more than 27 kg.

(b) 17 dogs, in total, may weigh more than 27 kg.

Given that,

Information regarding various dogs' masses is displayed in the table.

(a)Calculate the bare minimum number of dogs that could weigh more than 27 kg.

(b)Calculate how many dogs, in total, may weigh more than 27 kg.

(a) 4 bare minimum of dogs that could weigh more than 27 kg.

Because the minimum number so lets assume that all dogs in 20≤x<30 are less then 27.

Therefore, 4 bare minimum of dogs that could weigh more than 27 kg.

(b) 17 dogs, in total, may weigh more than 27 kg.

Because the maximum number so lets assume that all dogs in 20≤x<30 are more then 27.

4+13=17

Therefore,17 dogs, in total, may weigh more than 27 kg.

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Answer:

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

Slope: 4 since $4 was made per ticket. $4/1=$4.

Equation: y=mx+b

0=4(0)+b ==> the function has a point on the origin, (0,0).

0=0+b

b=0

y=4x+0

y=4x ==> equation of line

Answer:

day 1:  $4

day 2: $8

day 3: $12

day 4; $16

Step-by-step explanation:

y= 4x

cuz you add 4 each time

The better deal of the given pair is $31.05/1. The unit rate is $2.07.

The better deal is the deal that has the lower unit rate. Unit rate is the price per gallon. The unit rate can be determined by dividing the total cost by the total gallons bought.

Division is the operation that is used in mathematics to determine the quotient of two or more numbers. Division entails grouping a number into groups using another number. Other operations used in mathematics are addition, multiplication and subtraction.

Unit rate = total cost / number of gallons

$56 / 25 = $2.24

$31.05 / 15 = $2,07

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Answer:

what are th e statements though

Answer: y = 2/3 -2

Step-by-step explanation: using a graph you can plot the point (-3, 2).

After this, you can use the slope of 2/3 to graph the starting point. You go 3 to the left and 2 up going through the y axis of -2. using y = mx + b, you can plug in the slope of 2/3 and the starting point of -2.

Answer: B

Step-by-step explanation: A whole number is a number that is not a decimal or a fraction and is over 0.

The total cups of flour Alice, Raul and Jane have altogether is equal to 6.

We can determine the number of cups of flour they have all together by the addition of the fractions brought by each one of them.

First, we convert the decimal value of 2.5 into fraction form;

2.5 = 2.5/1

Multiplying and dividing both sides by 10;

25/10 = 5/2

Now we add the fractions as follows;

Total number of cups of flour = 5/2 + 11/4 + 3/4

We Multiply 5/2 by 2 to get the same denominator as the other values;

5×2 / 2×2 = 10/4

10/4 + 11/4 + 3/4 = 6

Therefore, the total number of cups of flour they have altogether is calculated to be 6.

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It is not possible for the car to go over the speed limit as maximum error represent value of speed limit less than 65 miles per hour.

As given in the question,

Maximum error on the reading of speedometer =1.6%

Speed limit on a road is 65 miles per hour

Reading of a speedometer = 63 miles per hour

As per the error in the speedometer it can be more or less by 1.6%

To check speed limit

If it more

Speed limit  = 63 + (1.6% of 63)

                   = 63 + 1.008

                   = 64.008 miles per hour < 65 miles per hour

If it less

Speed limit = 63 - (1.6% of 63)

                   = 63 -1.008

                   = 61.992 miles per hour < 65 miles per hour

Therefore, it is not possible for the car to go over the speed limit as maximum error represent value of speed limit less than 65 miles per hour.

The complete question is:

The reading on a car speedometer has 1.6% maximum error the speed limit on a road is listed 65 miles per hour.

The car’s speedometer reads 63 miles per hour. Is it possible that this car is going over the speed limit?

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Step-by-step explanation:

true.

false.

true.

true

.true.

false.

true..

please mark me as brainlist

iyaazs humaizAnswer:

y-step explanation:

Answer:

The last answer is correct.

Step-by-step explanation:

The plant start at 4 inches (0,4) and then grows 1 inch each week.

(1,5), (2,6).(3,7) and so on.

[tex]10s = 1000 - 100[/tex]

[tex]10s = 900[/tex]

NOW TO GET THE VALUE OF s it means we will have to divide both sides by the coefficient os s which is 10.Meaning 10 will divide 10s and also 900 we get:

[tex] \frac{10s}{10} = \frac{900}{10} \\ s = 90[/tex]

[tex]12m = 25 + 5 \\ 12m = 30 \\ \frac{12m}{12} = \frac{30}{12} \\ m= \frac{30}{12} \\ m = \frac{15}{6} [/tex]

Answer:

C). [tex]1 - sec^{2} A[/tex]

Step-by-step explanation:

Lets say the bottom side is X, right side is Y, and hypotenuse is H.

[tex]tan A = \frac{Y}{X}[/tex]

[tex]tan B = \frac{X}{Y}[/tex]

[tex]\frac{tan A}{tan B} = \frac{\frac{Y}{X}}{\frac{X}{Y}} = \frac{Y}{X} * \frac{Y}{X} = \frac{Y^{2} }{X^{2}} = (\frac{Y}{X})^{2} = tan^{2} A= 1 - sec^{2} A[/tex]

Answer:

20

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex] , then

[tex]\sqrt{50}[/tex] × [tex]\sqrt{8}[/tex]

= [tex]\sqrt{50(8)}[/tex]

= [tex]\sqrt{400}[/tex]

= 20

The width of Michelle's room is 111 inches.

The ratio of the length to the width is 4:3.

The width of her room can be calculated as follows:

Therefore,

length = 12 ft 4 inches

Hence.

1 ft = 12 inches

12 ft = 144 inches

Hence,

length = 144 + 4 = 148 inches

Therefore,

x = length + width

4 / 7 × x = 148

4x / 7 = 148

cross multiply

4x = 148 × 7

4x = 1036

x = 1036 / 4

x = 259

Hence,

width of the rectangle = 259 - 148

width of the rectangle = 111 inches

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Answer: The length of the edge of the crate is 3 feet.

Step-by-step explanation:

The formula of the volume of a cube is the cube of edge length.

The volume of the cube (V) = (edge)³ ...................................(1)

In the given question volume is 27 cubic feet.

So, V = 27 cubic feet

Now we replace the Volume with the edge using equation (1)

i.e. (edge)³ = 27

or we can say that the cube root of the edge is equal to 27

i.e. edge = ∛27

which is equal to 3

hence, edge = 3 feet

To calculate the cube root write prime factors of 27 and group them in groups of three

i.e. ∛27 = ∛(3×3×3) = ∛ (3)³ = 3

Based on the fact the game of hearts, four players are each dealt 13 cards from a deck of 52

This is further explained below.

A surjective function is a kind of function that exists in mathematics that ensures that any element y may be transferred to element x in such a way that f(x) equals y.

To put it another way, each element that makes up the function's codomain is the mirror image of at least one element that makes up the domain.

Generally, function, f(k) maps a card to each player

And since each player is dealt 13 cards st 13 of the cards are mapped to each player.

It is a function as one card is mapped to one and only one player.

The function is not injective because 13 cards 1 are mapped to one player so it is a many-one function but the injective function does not map two elements to a common clement.

In conclusion, It is surjective as each player is dealt 13 cards. the function is not injective hence rot bijective.

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Answer:

-7

Step-by-step explanation:

Because picture y with a 1 in front of it the divide -7 by 1 and you get -7

There is a 0.087 = 8.73% chance that four arrivals will occur at the same half-hour.

In which case,

x represents the number of successes.

The Euler number is e = 2.71828 = 2.72

μ is the average over the given time interval.

With a rate parameter of five per hour, the Poisson process is used.

So, μ = 5

The likelihood of exactly four arrivals occurring at the same time;

This is known as P(X = 4).

Put the values in the formula;

P(X = x) = (e∧(-μ)× μˣ) / x!

P(X = 4) = (2.72∧(-5)× 5⁴) / 4!

Simplifying the equation;

P(X = 4) = 0.08736

P(X = 4) = 8.73%

0.087 = 8.73% chance that exactly four arrivals happen during a specific half -hour.

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According to the law of detachment, if a person wants to get a car, that person must buy car insurance, since Jayla wants to get a car, D. Jayla must buy car insurance.

It should be noted that the law of detachment states that if P leads to Q and Q is true, then Q must be true.

In this case, if a person wants to get a car, the person must buy car insurance. Without this it's impossible to buy the car. Therefore, this illustrates that the correct option is that Kayla must also get the insurance.

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In linear equation, 17 seconds it will take to do a complete gaussian elimination of this size.

What are a definition and an example of a linear equation?

Given that your computer completes a 5000 equation back substitution in 0.005 seconds.

then here Work is: n = 5000 and its rate is = (n2) / 0.005 = 5000000000

and Given formula : The approximate operation counts = ((2n^3)/3) = (2.0 * (n3)) / 3.0 = 83333333333.33

then we can found time = operations / rate = 83333333333.33/5000000000 = 16.67 = 17 seconds

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