Identify the type of function graphed to the right.
linear
exponential
other

Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

Answer:

\(6y^3z(8x^4yz^3-3)\)

Step-by-step explanation:

Factor-\((-18y^3)(z)+48x^4y^4z^448x^4y^4z^4-18y^3z=6y^3z(8x^4yz^3-3)\)

Probability for the number of correct answers  is fewer than 4 is 0.3993.

The probability that the number x of correct answers is fewer than 4 can be found using the binomial probability formula:

P(X = x) = (n choose x) * p^x * (1-p)^(n-x)

Where n is the number of trials, x is the number of successes, and p is the probability of success.

For this problem, n = 8, p = 0.45, and we want to find P(X < 4).

To find P(X < 4), we need to find the probability of 0, 1, 2, and 3 correct answers and add them together:

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula, we can find each of these probabilities:

P(X = 0) = (8 choose 0) * 0.45^0 * (1-0.45)^(8-0) = 0.0059
P(X = 1) = (8 choose 1) * 0.45^1 * (1-0.45)^(8-1) = 0.0416
P(X = 2) = (8 choose 2) * 0.45^2 * (1-0.45)^(8-2) = 0.1275
P(X = 3) = (8 choose 3) * 0.45^3 * (1-0.45)^(8-3) = 0.2243

Adding these probabilities together, we get:

P(X < 4) = 0.0059 + 0.0416 + 0.1275 + 0.2243 = 0.3993

Therefore, the probability that the number x of correct answers is fewer than 4 is 0.3993.

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Answer:

Step-by-step explanation:

(-3, -6) (2, -2)

(-2 + 6)/(2 + 3) = 4/5

y + 6 = 4/5(x + 3)

y + 6 = 4/5x + 12/5

y + 30/5 = 4/5x + 12/5

y = 4/5x - 18/5

Answer:

b

Step-by-step explanation:

Ed2021

Company C  offers greatest total employment compensation since,  it has least job expenses  as compared to the other three and comparatively good gross pay. Therefore, option C is the correct answer.

Net pay means take-home pay or the amount employees earn after all payroll deductions are subtracted from their gross pay.

Company A

Gross pay=$37,600, Paid insurance=$2800, Paid time off =$3,100, Job expenses = $1,200

Company B

Gross pay=$36,800, Paid insurance=$2,400, Paid time off =$3,600, Job expenses = $600

Company C

Gross pay=$38,100, Paid insurance=$2,100, Paid time off =$2,900, Job expenses = $300

Company D

Gross pay=$39,000, Paid insurance=$1,800, Paid time off =$2,500, Job expenses = $800

Company C  offers greatest total employment compensation since,  it has least job expenses  as compared to the other three and comparatively good gross pay.

Wherever in all other cases that is in gross pay, paid insurance, paid off company C is not that much legging behind

Company D has greatest gross pay but has greatest expense also

Company A is at second position in paying  but also at 2nd in expenses.

Company B is least payer but do not have least expenses.

Company C  offers greatest total employment compensation since,  it has least job expenses  as compared to the other three and comparatively good gross pay. Therefore, option C is the correct answer.

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Answer:  d) DF ≅ JH

Step-by-step explanation:

Side-Side-Side Congruency Theorem states that triangles are congruent if and only if their corresponding side lengths are congruent.

Given: EF ≅HI

Given: DE ≅IJ

Missing: DF ≅ JH

Answer:

In which figure we have to find x

Step-by-step explanation:

Q12.

I checked immediately : 33 m, 44 m and 55 m create a right-angled triangle, as they satisfy the Pythagoras rule :

c ² = a² + b²

with c being the Hypotenuse (the side opposite of the 90° angle) and longer than the legs, and a and b being the legs of the triangle.

55² = 33² + 44²

3025 = 1089 + 1936 = 3025

correct.

the area of a triangle is

baseline × height / 2

in case of a right-angled triangle we can use the right angle situation, the legs are acting as baseline and height (due to the 90° angle between them).

and so the area of the triangle here is

A = 33×44/2 = 33×22 = 726 m²

as 1 m² costs 1.20 per m², we have a total costs

1.20 × 726 = 871.2

for the second part of the question :

again the area of a triangle is

baseline × height / 2

baseline is tripled and height is doubled.

that means compared to the original sizes the are is now ;

(baseline × 3) × (height × 2) / 2 =

= 3×2 × baseline × height / 2 = 6 × baseline × height / 2

the area of the new triangle is their 6 time the area of the original triangle.

Q16

5th root of (243a¹⁰b⁵c¹⁰)

remember, when we have exponent of exponent, we multiply the exponents. and an nth root is nothing else than the exponent 1/n.

and the higher level exponent has to be applied to all factors of the lower level exponent.

so, we have

243^(1/5) × a^(10 × 1/5) × b^(5 × 1/5) × c^(10 × 1/5) =

3 × a² × b¹ × c² = 3a²bc²

Q19.

it is a right-angled triangle, and it is isoceles. that means both legs (they contain between themselves the 90° angle) are equally long.

the area is again

baseline × height / 2.

and again, the legs are acting as baseline and height.

so,

8 = leg × leg / 2 = leg²/2

leg² = 16

leg = 4 cm

both legs are 4 cm.

now we use Pythagoras to get the missing side (Hypotenuse) :

Hypotenuse² = leg² + leg² = 16 + 16 = 32 = 2×16

Hypotenuse = sqrt(2×16) = 4×sqrt(2) cm

for the second part of the question :

this means

one leg of the triangle is 8 cm. for the Hypotenuse we have 10 cm.

now we can apply Pythagoras again :

10² = 8² + leg²

100 = 64 + leg²

36 = leg²

leg = 6 cm

so its area is

A = 6 × 8 / 2 = 6 × 4 = 24 cm²

Answer:

Yes

Step-by-step explanation:

We can test this claim using the one proportion z test :

x = 25 ; n = 100

Phat = x / n = 25 / 100 = 0.25

H0 : P = 0.15

H0 : P > 0.15

The test statistic :

Z = (phat - p) ÷ √p(1-p)/n

Z = (0.25-0.15) ÷ √(0.15*0.85)/100

Z = 2.8

Using the Pvalue from Zscore calculator :

α = 0.05

Pvalue (Z < 2.8) =0.0026

Pvalue < α ; We reject the Null

Answer:

416 i guess

Step-by-step explanation:

The probability of getting caught in morning traffic more than twice in a week, given an 82% chance of getting caught if you leave your house late, is approximately 0.542, or 54.2%.

To calculate the probability of getting caught in morning traffic more than twice, we need to consider the probability of getting caught in morning traffic exactly zero, one, or two times.

Then we can subtract that probability from 1 to find the probability of getting caught more than twice.

Let's denote the event of getting caught in morning traffic as A and the event of not getting caught as A'.

Given that you have an 82% chance of getting caught in morning traffic if you leave your house late, the probability of getting caught is P(A) = 0.82 and the probability of not getting caught is P(A') = 1 - P(A) = 0.18.

To find the probability of getting caught exactly k times in a week, we can use the binomial distribution formula:

P(X = k) = C(n,k) × p^k × (1-P)^(n-k)

n is the number of trials (in this case, the number of days in a week), p is the probability of success (getting caught) and C(n, k) is the number of combinations of n items taken k at a time.

Let's calculate the probabilities:

P(X = 0) = C(5, 0) × (0.82)⁰ × (0.18)⁽⁵⁻⁰⁾

= 1 × 1 × (0.18)⁵

≈ 0.024

P(X = 1) = \(C(5, 1) \times (0.82)^1 \times (0.18)^{(5 - 1)\)

= \(5 \times 0.82 \times (0.18)^4\)

≈ 0.146

P(X = 2) = \(C(5, 2) \times (0.82)^2 \times (0.18)^{(5 - 2)\\\)

= 10 × 0.82² × (0.18)³

≈ 0.288

Now, let's find the probability of getting caught more than twice:

P(X > 2) = 1 - (P(X = 0) + P(X = 1) + P(X = 2))

= 1 - (0.024 + 0.146 + 0.288)

= 1 - 0.458

≈ 0.542

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Answer:

522.5

Step-by-step explanation:

you need to show me the picture, or point out which is the height, which are the bases.

I am supposed 38 is the height

8.5 & 19 are the bases.

the formula for calculating the are of the trapezoid is:

(8.5+19)*38 /2 =522.5

Using the Combination formula,

Total number of ways there to paint 10 hotel rooms in a hotel with five colours is 527 ways .

We have given that,

total number of rooms available for paint = 10

number of colour avaliabile for painting = 5

Atmost three rooms can be painted green i.e

the number of ways for atmost three rooms are painted green = ¹⁰C₃ + ¹⁰C₂ + ¹⁰C₁ = 120 + 45 + 10 = 175

similarly, the number of ways for atmost three rooms are painted red = 175

the number of ways for atmost three rooms are painted blue = 175

Now, one room is remained for painting and two colours are available for it

the number of painting the remained room with aany of two available colours i.e black and white

= 2 ways

thus , total ways to paint the 10 hotel rooms with five different paints are (175×3 +2) = 527

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Given:

A graph of bell peper patch is given as below

Find:

we have to find the Maximum possible area of bell peper patch represented by the function p corresponding to the length of the tomato patch x.

Explanation:

From the given graph of function p(x), it is observed that the function has maximum value at x = 6.

Therefore, when x = 6, we get

as the function p represents the area of the bell peper patch,

Therefore, Maximum possible area of the bell peper patch is p = 18 square feet, when the length of the zomato patch is x = 6 feet.

Answer:

  x = 2/3  or  point (x, y) = (2/3, 0)

Step-by-step explanation:

You want to know the x-intercept of the line described by 12x +11y = 8.

The x-intercept of a graph is the point where the y-value is zero. For an equation like this, it is easily found:

  12x +11(0) = 8 . . . . use 0 for y

  12x = 8 . . . . . . . . . simplify

  x = 8/12 = 2/3 . . . . . . divide by the coefficient of x and simplify

The x-intercept is x = 2/3, point (2/3, 0).

__

Additional comment

The y-intercept is similarly found.

  0 +11y = 8

  y = 8/11 . . . . y-intercept

Answer:

17a²b

Step-by-step explanation:

(7a)(3ab)-4a²b

(21a²b)-4a²b

(21-4)a²b

17a²b

The stems are 0, 2, 3, 4, 5, 6, 8. Therefore option e, is the correct answer

Stem and leaf plot are used in statistics to organize data that are collected. Any number in a data is broken down into a stem and a leaf.

Stem displays data on the left while leaf displays data to the right

The data for the amounts of money (cents) in coins carried by 10 students in a statistics class: 50, 35, 0, 46, 86, 0, 5, 47, 23, 65 can be represented in the stem and leaf plot below:

2 I 3 ⇒ 2 on the stem and 3 on the leaf read as 23

3 I 5 ⇒ 3 on the stem and 5 on the leaf read as 35

4 I 6 ⇒ 4 on the stem and 6 on the leaf read as 46

4 I 7 ⇒ 4 on the stem and 7 on the leaf read as 47

5 I    ⇒ 5 on the stem as 5

5 I 0 ⇒ 5 on the stem and 0 on the leaf read as 50

6 I 5 ⇒ 6 on the stem and 5 on the leaf read as 65

8 I 6 ⇒ 8 on the stem and 6 on the leaf read as 86

Hence, stems are 0, 2, 3, 4, 5, 6, 8

Therefore, option e, is the correct answer

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Answer:

-3x(3x+5)(3x-4)

= -(9x²+15x)(3x-4)

= -27x³-9x²+60x

Answered by GAUTHMATH

The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

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Answer:

theres no picture or values if you were trying to type

Step-by-step explanation:

The equation of the ellipse with foci at ​(39​,0) and ​(-39​,0) and a constant difference of 30 is given as follows:

x²/39² + y²/9² = 1.

The equation of an ellipse of center (h,k) is given by the rule presented as follows:

(x - h)²/a² + (y - k)²/b² = 1.

In which:

The coordinates of the foci are given as follows:

​(39​,0) and ​(-39​,0).

The center is the midpoint of these two coordinates, hence:

The coefficient a is given as follows:

a = |39 - 0| = |0 - 39| = 0.

Considering the constant difference of 30, the constant b is given as follows:

b = a - 30 = 39 - 30 = 9.

Thus the equation of the ellipse is given as follows:

x²/39² + y²/9² = 1.

The problem asks for the equation of the ellipse with the given features.

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Answer:

Hello,

Answer 9/2

Step-by-step explanation:

Let's put some points:

A=(4,-6)

B=(8,-6)

C=(4,-9) (the vertex of the rectangle)

AI=1, IB=3,AB=4

AG=2,GC=1

Area of the triangle AIG=1*2/2=1

Area of the triangle IBH=3*3/2=9/2

Area of the triangle GCH=1*4/2=2

Area of the rectangle=4*3=12

Area of the triangle IGH=12-1-9/2-2=9/2 (unit²)

The area, in square units, of triangle GHI will be 9/2 or 4.5 square units.

The vertices of the triangle are (x₁, y₁), (x₂, y₂), and (x₃, y₃). Then the area of the triangle will be given as,

Area = 1/2 |[(x₁y₂ + x₂y₃ + x₃y₁) - (y₁x₂ + y₂x₃ + y₃x₁)]|

We have

(x₁, y₁) ⇒ (4, -8)

(x₂, y₂) ⇒ (8, -9)

(x₃, y₃) ⇒ (5, -6)

Then the area will be calculated as,

Area = 1/2[{4 x (-9) + 8 x (-6) + 5 x (-8)} - {- 8 x 8 - 9 x 5 - 6 x 4}]

Area = 1/2 [(-124) – (-133)]

Area = 1/2 x [9]

Area = 9/2 square units

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The statement "If a set of vectors {v₁, v₂, ...., vp} in Rⁿ is linearly dependent, then p>n" is False.

Let {v₁, v₂, ...., vp} be a set of p vectors in Rⁿ, then the following are equivalent statements:

1. The set of vectors is linearly dependent.

2. There exist constants c₁, c₂, ... cp, not all of them zero, such that:

c₁v₁+c₂v₂+...+cpvp = 0 (zero vector)

For the above to be possible, the following must hold true: p≥n

Because in Rⁿ, each vector has n components.

So, the total number of unknowns is p, while the total number of equations that we have is n.

Hence p≥n for the system of linear equations above to have a non-zero solution.

Hence, the statement "If a set of vectors {v₁, v₂, ...., vp} in Rⁿ is linearly dependent, then p>n" is False.

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Answer:

D. A’(-4,-4), B’(-4,4)C’(8,-4)

Step-by-step explanation:

The calculated chi-square test statistic (39.8078) is larger than the critical value (9.488), we reject the null hypothesis.

To test the union leader's claim that absences occur on different weekdays with the same frequencies, we can perform a goodness-of-fit test using the sample data.

We will compare the observed frequencies of absences on each weekday with the expected frequencies based on the claim.

Given the sample data:

| Day     | Mon | Tue | Wed | Thur | Fri |

| Absences | 37  | 15  | 12  | 23   | 43  |

According to the claim, the expected frequencies for each weekday would be equal. Since there are five weekdays, the expected frequency for each weekday would be the total number of absences divided by five.

Total absences: 37 + 15 + 12 + 23 + 43 = 130

Expected frequency for each weekday: 130 / 5 = 26

Now we can compare the observed and expected frequencies using a chi-square goodness-of-fit test. The null hypothesis (H0) is that the observed frequencies follow the expected frequencies based on the claim.

Using the expected frequencies and the observed frequencies, we can calculate the chi-square test statistic:

Day  | Observed | Expected | (Observed - Expected)^2 / Expected

Mon  |    37    |    26    |             2.8846

Tue  |    15    |    26    |             5.5385

Wed  |    12    |    26    |             8.6154

Thur |    23    |    26    |             0.3462

Fri  |    43    |    26    |            22.4231

```Summing up the values in the last column, we get the chi-square test statistic:

Chi-square = 2.8846 + 5.5385 + 8.6154 + 0.3462 + 22.4231 = 39.8078

To perform the goodness-of-fit test, we need to compare the chi-square test statistic with the critical value from the chi-square distribution with (number of categories - 1) degrees of freedom. Since we have 5 categories (weekdays) and 5 - 1 = 4 degrees of freedom, we look up the critical value from the chi-square distribution table.

At a significance level of 0.05 and 4 degrees of freedom, the critical value is approximately 9.488.

Since the calculated chi-square test statistic (39.8078) is larger than the critical value (9.488), we reject the null hypothesis.

Therefore, based on the given data, we have evidence to suggest that absences do not occur on the different weekdays with the same frequencies as claimed by the union leader.

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Answer : \(\boxed{(2x + 5 ) (2x - 5)}\)

\(4x^2-25\)

Rewrite \(4x^2\) as \((2^x)^2\).

\((2x)^2 - 5^2\)

Rewrite \((2x)^2\) as \(5^2\).

\((2x)^2 - 5^2\)

Since both terms are perfect squares, factor using the difference of squares formula, \(a^2 - b^2 = ( a + b ) ( a - b )\) where \(a = 2x\) and \(b = 5\).

\((2x + 5 ) (2x - 5)\)

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Answer:

-7 is greater

Step-by-step explanation:

In negetive intergers, the opposite happens. The greater number becomes smaller and the smallet becomes greater as the negative sign '-' is added.

Hope this will help

Answer:

1199.3

Step-by-step explanation:

1199. 28856995 to the nearest ten is 1199.3.

Answer:

Sue is 3.2 feet tall

Step-by-step explanation:

You must set up a ratio in order to find Sue ‘s height.