what are the coordinates of a point where graph of y=x2+3x+2 crosses the x axis

Step-by-step explanation:

remember a few things :

a × -1 = -a

-a × -1 = a

-1 × -1 = 1

1 × a = a

therefore,

-1 × -1 × a = 1 × a = a

and finally

c × (a + b) = c×a + c×b

so, we can say

(1 - 5) = -1 × -1 × (1 - 5) =

= -1 × (-1×1 + -1×-5) = -1 × (-1 + 5) =

= -1 × (5 - 1) = -(5 - 1)

The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).

To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.

First, let's calculate the Z-score using the formula:

Z = (X - μ) / σ

Where:

X = consumption rate per day (1,155 pills)

μ = average consumption rate per day (1,155 pills)

σ = standard deviation (81 pills)

Z = (1,155 - 1,155) / 81

Z = 0

Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.

We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.

To find the probability of running out of sleeping pills, we subtract this probability from 1:

Probability of running out of sleeping pills = 1 - 0.5000

Probability of running out of sleeping pills = 0.5000

Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.

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Answer:

B: Every input value corresponds to only one output value.

Answer:

5

Step-by-step explanation:

if x=2, then it would be 5/2 times 2. first, lets make 5/2 into a whole number, 2 1/2. that would be 2 1/2 x 2. lets do them indevidually. 1/2 x 2 is 1. and 2 x 2 is 4. now, if we add 4 and 1, that would give is a result of 5.

making the answer 5

Answer: Therefore, the simplified expression is (a + 2)/a.  

Step-by-step explanation:

To simplify the expression (2a + 4)/(5a - 3a), we first need to combine like terms in the denominator:

5a - 3a = 2a

Now, we can substitute 2a for 5a - 3a in the expression and simplify as follows:

(2a + 4)/(5a - 3a) = (2a + 4)/2a

We can simplify further by factoring out 2 from the numerator:

(2a + 4)/2a = 2(a + 2)/2a

The 2 in the numerator and the denominator cancel out, leaving us with:

(a + 2)/a

Therefore, the simplified expression is (a + 2)/a.

Answer:

The area is twice the circumference

Area = 2 * circumference

Step-by-step explanation:

Proof:

r = 2

Circumference = 2\(\pi\)r

Circumference = 12.566

Area = \(\pi\)r^2

Area = 25.132

25.132/12.566 ≈ 2

Answer:

the (area) is (1/2) times the (radius) times the circumference.

Step-by-step explanation:

i dont know how to explain it exactly but i found the cerect answer.

Answer:

5/36

Step-by-step explanation:

The chance of drawing a blue marble is 5/12. The chance of drawing a green marble is 4/12. You multiply the fractions to get the probability.

5/12 * 4/12 =20/144 = 5/36 simplified.

Answer:

5/36

Step-by-step explanation:

12 total marbles

5/12 blue, 4/12 green

5/12x4/12=20/144

5/36

Answer:

50 I think

Step-by-step explanation:

30% of 500 is 150 so we have 150 red balls

40% of 500 is 200 so we can assume 50 balls were taken out

The average pay-per-hour of the year for Elise will be 13.73 pounds.

From the information, in 2016 she earned £2100 and in 2017 she was awarded a 3% increase on her monthly salary.

Therefore, the new salary will be:

= 2100 + 3%(2100)

= 2100 + 63

= 2163

Now she worked for 42 hours per week for 45 weeks. This will be:

= 42 × 45

= 1890 hours

Therefore, the total earnings for the year will be:

= 2163 × 12 months

= 25956

The average pay-per-hour of the year will be:

= Total amount / Number of hours

= £25956 / 1890

= £13.73

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Answer: 4 bags of oranges and 3 bags of apple

Step-by-step explanation:

Each bag of oranges is 5 and 5 times 4 is 20 Each bag of apples is 3 and 3 times 3 is 9 so 20 + 9 = 29

Point G is two, which divides the directed line segment from D to F into a 5:4 ratio at that place.

The general equation for every straight line is y = mx + c, where m is the gradient (or degree of steepness) of the line and c is the y-intercept (the point in which the line crosses the y-axis).

The variables x and y are related to coordinates on the line in the linear equation y = mx + c.

The formula y = mx + c yields a result for y when we enter a value for x.

As y depends on the value of x, it follows that x is an independent variable and y is a dependent variable.

According to our question-

From negative five to positive ten is a number line.

Points D and F are at -2 and +7, respectively.

The distance between point D and F is,

=9

If Point G divides the directed line segment from D to F into a 5: 4 ratio, then,

=2

Hence, The directed line segment from D to F is divided into a 5:4 ratio at point G by the number 2.

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Answer:

50 degrees

Step-by-step explanation:

Answer:

To achieve this goal, he must invest $7,463.77 ( d)

Step-by-step explanation:

mathematically;

simple interest = PRT/100

I = 3,090

P = ?

R = 2.76%

T = 15 years

3,090 = P * 2.76 * 15/100

100 * 3090 = 41.4 P

P = 309000/41.4

P = 7,463.77

Answer:

D is the correct answer. It's true

answer

20=7z-15

= z=5

y+5=29

= y=24

Answer:

-7z=-15-20          y+5=29

-7z=-5                  y=29-5

z=5/7                  y=24

Step-by-step explanation:

ther

If an urn contains two red balls and three white balls and a ball is chosen at random, then the probability of getting white ball is 3/5

The number of red balls = 2 balls

The number of white balls = 3 balls

Total number of balls = 2 + 3

= 5 balls

The probability = Number of favorable outcomes / Total number of outcomes

Number of favorable outcomes = Number of white balls = 3

Total number of outcomes = 5

The probability = 3/5

Hence, if an urn contains two red balls and three white balls and a ball is chosen at random, then the probability of getting white is 3/5

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a) The (9,009, 10,585) range represents the 99% confidence interval for the mean number of steps taken on an average workday for all New York City employees who wear activity trackers. No, we are unable to determine the likelihood of specific values using the confidence interval. Only inferences about the population mean can be drawn from it.

A 99% confidence interval for the mean needs to be calculated.

Since the population standard deviation is unknown, we must infer it from the sample standard deviation in order to get the critical number using a t-students distribution.

Sample Mean(M) = 9,797

Sample Standard Deviation(s) = 2,313.

Sample Size(N) = 61

When σ is unknown, an estimation of σM is made by dividing s by the square root of N:

S = s/√n

S = 2313/√61

S = 2313/7.8102

S = 296.1512

These sample size's degrees of freedom are:

df = n - 1

df = 61 - 1

df = 60

With 61 degrees of freedom and a 99% confidence interval, the t-value is 2.66.

The Margin of Error calculated as:

MOE = t × S

MOE = 2.66 × 296.1512

MOE = 787.7622

The confidence interval's lower and upper bounds are as follows:

Lower Bound = M - MOE

Lower Bound = 9797 - 787.7622

Lower Bound = 9,009.2378

Lower Bound = 9,009(approx)

Upper Bound = M + MOE

Upper Bound = 9797 + 787.7622

Upper Bound = 10,584.7622

Upper Bound = 10,585(approx)

We have a 95% confidence interval between 9,009 and 10,585 steps as the mean number of steps taken on a normal workday for all New York City employees using activity trackers.

b) The value of 8,500 steps is outside the confidence interval, which indicates that it is a high figure for the average number of steps taken by all New Yorkers using activity trackers.

The confidence interval cannot be used to calculate the likelihood of specific values.

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The complete question is:

Activity trackers are electronic devices that people wear to record physical activity. Researchers wanted to estimate the mean number of steps taken on a typical workday for people working in New York City who wear such trackers. A random sample of 61 people working in New York City who wear an activity tracker was selected. The number of steps taken on a typical workday for each person in the sample was recorded. The mean was 9,797 steps and the standard deviation was 2,313 steps.

a. Construct and interpret a 99 percent confidence interval for the mean number of steps taken on a typical workday for all people working in New York City who wear an activity tracker.

b. A wellness director at a company in New York City wants to investigate whether it is unusual for one person working in the city who wears an activity tracker to record approximately 8,500 steps on a typical workday. Is it appropriate to use the confidence interval found in part (a) to conduct the investigation.

Answer:

C

Step-by-step explanation:

Domain is what x values are allowed in a function

Answer:

The x intercept is 3

Step-by-step explanation:

Because that is where it hits the x axis

Probability samples have the advantage of providing a more representative sample of the population over non-probability samples.

Each member of the population has a known and non-zero chance of being chosen for the sample in probability sampling. This means that every member of the population has an equal chance of being chosen, which aids in reducing selection bias.

As a result, probability samples are more likely to accurately reflect population characteristics and can provide more reliable and valid population inferences.

Non-probability samples, on the other hand, lack this property and may not accurately reflect the population. In a convenience sample, for example, people are chosen simply because they are easily accessible, which may not accurately reflect the population as a whole.

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Answer:

put it in desmos.................

the correct format for a multiple regression equation is

ŷ= \(b_{o} + b_{1}x_{1} + b_{2}x_{2} + b_{3}x_{3} + b_{4}x_{4}\)

multiple regression: The relationship between a single dependent or criterion variable and multiple independent or predictor variables is typically explained by multiple regression. The constant term and multiple independent variables with their corresponding coefficients are used to model a dependent variable. The term "multiple regression" refers to the fact that it requires two or more predictor variables.

because, the weight of a passenger vehicle, in kilograms, is related to its length, in centimeters; and the maximum number of passengers.

thus, ŷ=\(b_{o} + b_{1}x_{1} + b_{2}x_{2} + b_{3}x_{3} + b_{4}x_{4}\) is the multiple regression equation.

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(1) No, €7 is not an element of the set {7}.

(2) There is only one element in the set {7, 7, 7, 7, 7, 7}.

(3) There are two elements in the set {0, {0}}.

(4) No, {0} is not an element of the set {{0}, {1}}.

(5) Yes, 0 is an element of the set {{0}, {1}}.

(1) The set {7} contains only the element 7, so €7, which represents the currency Euro, is not an element of this set.

(2) In the set {7, 7, 7, 7, 7, 7}, all the elements are the same, namely 7. Therefore, there is only one distinct element in this set.

(3) The set {0, {0}} contains two elements: 0 and the set {0}. The element {0} is considered distinct from the numerical value 0, so they are counted as separate elements.

(4) The set {{0}, {1}} contains two elements: the set {0} and the set {1}. The element {0} is not the same as the set {0}, so {0} is not an element of the set {{0}, {1}}.

(5) The number 0 is an element of the set {{0}, {1}} because it is one of the values present in the set. Therefore, 0 is an element of the set.

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Answer:  the degree will go down 90 degrees

Step-by-step explanation: An obtuse triangle is one that has an angle greater than 90°. An acute triangle is defined as a triangle in which all of the angles are less than 90°.

Since the first child is a boy, this means we need to find the probability of another boy. This is 1/2 since we assume each gender has the same chance of happening.

The correct answer is option D which is the volume of the square pyramid will be  \(V = \dfrac{1}{2}x^2y\ cm^3\).

A solid made up of a square base and four triangles connected side by side and meet at the same edge is called a square pyramid.

Given that:-

The volume of the pyramid will be calculated as:-

Volume = \(\dfrac{1}{2}\) x Length of square pyramid x Height

Volume = \(\dfrac{1}{2}\)  x (x)² x y

Volume = \(\dfrac{1}{2}\) x²y

Therefore the correct answer is option D which is the volume of the square pyramid will be  \(V = \dfrac{1}{2}x^2y\ cm^3\).

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Answer:

4

Step-by-step explanation:

Answer:

1. 4 and 3/5

2. 3 and 1/6

Step-by-step explanation:

thats about it

Answer:

1. 4 3/5 or 4.6   2.  3 1/6

Step-by-step explanation:

The angle (in radians) between vectors u and v is approximately 1.66 radians, rounded to two decimal places.

To find the angle between two vectors, we can use the dot product formula and the magnitudes of the vectors. Let's calculate the angle between vectors u and v:

Given:

u = 4i - 6j

v = 5i + 4j

Step 1: Calculate the dot product of u and v.

The dot product of two vectors u and v is given by:

u · v = |u| |v| cosθ

where |u| and |v| are the magnitudes of vectors u and v, respectively, and θ is the angle between them.

To calculate the dot product, we multiply the corresponding components of u and v and sum them:

u · v = (4 * 5) + (-6 * 4) = 20 - 24 = -4

Step 2: Calculate the magnitudes of vectors u and v.

The magnitude of a vector is given by:

|u| = √(u₁² + u₂²)

For vector u:

|u| = √((4)² + (-6)²) = √(16 + 36) = √52 ≈ 7.21

For vector v:

|v| = √((5)² + (4)²) = √(25 + 16) = √41 ≈ 6.40

Step 3: Calculate the angle θ.

Using the dot product formula mentioned earlier, we have:

-4 = (7.21)(6.40)cosθ

Solving for cosθ:

cosθ = -4 / (7.21 * 6.40) ≈ -0.086

To find θ, we can take the inverse cosine (arccos) of cosθ:

θ ≈ arccos(-0.086) ≈ 1.66 radians

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