work out 20% of 24kg

Based on the text, the primary source of primate endangerment today is habitat destruction.

Habitat destruction is considered the primary source of primate endangerment based on various factors mentioned in the text. Primates, like many other species, heavily rely on their natural habitats for survival, including food, shelter, and breeding. However, human activities such as deforestation, urbanization, and land conversion for agriculture or infrastructure development have significantly reduced and fragmented primate habitats.

Habitat destruction leads to the loss of critical resources and disrupts the ecological balance necessary for primate populations to thrive. As their habitats shrink, primates face increased competition for limited resources, reduced access to food and water sources, and decreased opportunities for successful reproduction and rearing of offspring. This loss of habitat also exposes primates to increased vulnerability to predation, disease transmission, and human-wildlife conflicts.

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Answer:

2/65

Step-by-step explanation:

trust me

The probability that Sam picks two blue pens is,

⇒ 5 / 26

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

A box has 26 pens —6 red, 8 green, 5 blue, and 7 black.

Here, Sam picks two pens at a time without replacement.

Hence, We get;

The probability that Sam picks two blue pens is,

⇒ P =  5 / 26

Thus, The probability that Sam picks two blue pens is,

⇒ 5 / 26

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The inequality \($k > \frac{9}{4}$\) gives the values of k for which the given equation yields no real solutions. The answer expressed in interval notation is \((\frac{9}{4}, \infty)\)

The given equation is \(x^2 - 3x + k = 0.\)

The discriminant is given by \($b^2 - 4ac$\). For the given equation, we have \($b^2 - 4ac = 9 - 4(k)(1)$\).

We need to find the values of k for which the given equation has no real solutions. This is possible if the discriminant is negative. Hence, we have \($9 - 4k < 0$\).

Simplifying the inequality, we get:

\(9 - 4k & < 0\)

\(4k & > 9\)

\(k & > \frac{9}{4}\)

Therefore, the inequality \($k > \frac{9}{4}$\) gives the values of k for which the given equation yields no real solutions. The answer expressed in interval notation is \((\frac{9}{4}, \infty)\)

Hence, the required answer is: The values of k for which the equation \($x^2 - 3x + k = 0$\)  yields no real solutions is  \($\boxed{(\frac{9}{4}, \infty)}$\).

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For the equation \( (a^2 + 2a)x^2 + (3a)x + 1 = 0\)  to yield no real solutions, the value of  \(a\)  must be within the interval \([-0.58, 2.78]\) .

The equation \( (a^2 + 2a)x^2 + (3a)x + 1 = 0\)  represents a quadratic equation in the form \( ax^2 + bx + c = 0\) . For this equation to have no real solutions, the discriminant \( (b^2 - 4ac)\)  must be negative.

In this case, the coefficients of the quadratic equation are \( a^2 + 2a\) , \( 3a\) , and 1. So, we need to determine the range of values for 'a' such that the discriminant is negative.

The discriminant is given by \( (3a)^2 - 4(a^2 + 2a)(1)\) . Simplifying this expression, we get:

\( 9a^2 - 4a^2 - 8a - 4 = 5a^2 - 8a - 4\)

For the discriminant to be negative, we have:

\( 5a^2 - 8a - 4 < 0\)

We can solve this quadratic inequality by finding its roots. Firstly, we set the inequality to zero:

\( 5a^2 - 8a - 4 = 0\)

Using the quadratic formula, we find that the roots are approximately \(a = 2.78\ and\ a = -0.58\)  

Next, we plot these roots on a number line. We choose test points within each interval to determine the sign of the expression:

When \( a < -0.58\) , the expression is positive.
When \( -0.58 < a < 2.78\) , the expression is negative.
When \( a > 2.78\) , the expression is positive.

Therefore, the solution to the inequality is \( -0.58 < a < 2.78\) . In interval notation, this is expressed as \( [-0.58, 2.78]\) .

In summary, for the equation \( (a^2 + 2a)x^2 + (3a)x + 1 = 0\)  to yield no real solutions, the value of  \(a\) must be within the interval \([-0.58, 2.78]\) .

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Complete question

For what values of a does the equation (a^2 + 2a)x^2 + (3a)x+1 = 0 yield no real solutions x? Express your answer in interval notation.

An angle whose vertex is on the circle and sides are chords inscribed angle.

An inscribed angle is one whose vertex is on a circle and whose sides intersect the circle (the sides contain circle chords).

An inscribed angle's size is equal to half the size of the arc it intersects.

Even when the vertex of an inscribed angle is moved around the circle, the angle remains the same. (inside the same chord side)

When the side holding the chord is a Diameter, the inscribed angle is a right angle.

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Answer:

a.9

b.36

Step-by-step explanation:

Blue beans + orange beans + red beans = 54

6x + 2x-3 + 15-x = 54

6x+2x-x=54+3-15

7x=42

divide both sides by 7

x=6

a. orange beans = 2x-3

but x=6

2(6)-3

12-3

=9

b.blue beans =6x

6(6)

=36

Answer:

d = 6

Step-by-step explanation:

sorry for late awenser

The value of the equation is d = 6

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

4 ( d - 5 ) - 6 = 2 ( 8 - d ) - d   be equation (1)

On simplifying the equation , we get

4d - 20 - 6 = 16 - 2d - d

On further simplification , we get

4d - 26 = 16 - 3d

Adding 3d on both sides of the equation , we get

7d - 26 = 16

Adding 26 on both sides of the equation , we get

7d = 42

Divide by 7 on both sides of the equation , we get

d = 6

Therefore , the value of d is 6

Hence , the equation is d = 6

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Answer:4-x3

Step-by-step explanation:

I think that’s right

Length of the rectangle is 41m, width of the rectangle is 41m and maximum area of the rectangle is 1681 \(m^{2}\).

Let l and w denote the length and width of the rectangle.

Its perimeter is 2(l + w) which is given 164.

∴ l + w = \(\frac{164}{2}\) = 82 ----------------  (1)

Now area A of the rectangle is given by

A = lw.

from equation (1),

A = l(82 - l)

A = 82l - \(l^{2}\)

⇒ A(l) = 82l - \(l^{2}\)--------------------- (2)

We are required to maximize A.

We know that, for Amax,

A'(l) = 0 and A''(l) < 0

equation (2)⇒

A'(l) = 0

82 - 2l = 0

         l = \(\frac{82}{2}\)

         l = 41.

Further, A''(l) = -2 < 0 ∀ l

Thus l = 41 gives Amax.

Hence the required dimension of the rectangle for maximum area are

l = 41 m

and w = 82 - l

          = 82 - 41

      w = 41 m

Therefore

A = lw = (41)(41)

A = 1681 \(m^{2}\)

Therefore the maximum area of rectangle is 1681 \(m^{2}\).

Given question is incomplete. Here I consider perimeter = 164m.

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By Using the table to work out the values of a , b , c , and d. X y = 2 x + 1 − 3 a − 2 − 3 − 1 b 0 1 1 c 2 d a = b = c = d =

Therefore, The solutions are : a = -3, b = 0, c = 6, d = 9

Equation:

In mathematics, an equation is an expression that indicates equality of two expressions by connecting them with the equal sign = . The word "equation" and related words in other languages ​​can have slightly different meanings. For example, in French an equation is defined as containing one or more variables, whereas in English a well-formed formula consisting of two expressions connected by an equal sign is an equation.

Given:

This table;

x             y = 3x+3

-3                -6

-2                 a

-1                  b

0                 3

1                  c

2                 d

To Find:

Values of a, b, c and d

Consider the 2nd row,

x = -2, y = a

Putting the values in the equation,

we get,

   a = 3(-2) + 3

⇒ a = -3

Consider the 3rd row,

x = -1, y = b

Putting the values in the equation,

we get,

   b = 3(-1) + 3

⇒ b = 0

Consider the 5th row,

x = 1, y = c

Putting the values in the equation,

   c = 3(1) + 3

⇒ c = 6

Consider the 6th row,

x = 2, y = d

   d = 3(2) + 3

⇒ d = 9

The final answer is,

a = -3, b = 0, c = 6, d = 9.

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Answer:

YEAAAAAAAAAAAAAAAAAAAA

Step-by-step explanation:

Answer:

yeeeeeeeeeeeeeeeeee

Step-by-step explanation:

Answer:

Trying to find 85% of 21 is the same thing as multiplying 0.85 by 21.

0.85 * 21 = 17.85.

Hope this helps!

Answer:

The answer is 17.85!

Step-by-step explanation:

Hint: if you don't remember how to convert percentages into decimals, just remove the percent sign and shift the decimal point two places to the left.

Null Hypothesis (H0): The mean human body temperature in the student's community is equal to 98.6°F.

Alternative Hypothesis (H1): The mean human body temperature in the student's community is different from 98.6°F.

The null hypothesis assumes that the mean body temperature is 98.6°F, while the alternative hypothesis suggests that the mean body temperature is either less than or greater than 98.6°F.

To test the hypotheses, a two-tailed test is appropriate because we are interested in whether the mean body temperature is different from the hypothesized value of 98.6°F. The significance level for the test is given as 1% or α = 0.01, which indicates the maximum level of chance we are willing to accept to reject the null hypothesis.

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f(3) is neither a local minimum nor a local maximum since f(x) is increasing for all x.

(a) An example of a function f such that f(3) is a local maximum and f''(3) = 0 is:

f(x) = -(x-3)^4 + 4(x-3)^3

The second derivative of f is:

f''(x) = -12(x-3) + 24

Thus, f''(3) = 0. The first derivative of f is:

f'(x) = -4(x-3)^3 + 12(x-3)^2

Setting f'(x) = 0, we get:

-4(x-3)^2(x-9) = 0

which has solutions x = 3 and x = 9. Since f''(3) = 0 and f''(9) = 24 > 0, f(3) is a local maximum.

(b) An example of a function f such that f''(3) is undefined but f(3) is a local minimum is:

f(x) = |x-3| - (x-3)^2

The second derivative of f is undefined at x = 3. The first derivative of f is:

f'(x) = sign(x-3) - 2(x-3)

where sign(x) is the sign function.

Since f'(x) = 0 at x = 3, f(3) is a critical point. Checking the sign of f'(x) to the left and right of x = 3, we see that f(x) is decreasing to the left of x = 3 and increasing to the right of x = 3. Therefore, f(3) is a local minimum.

(c) An example of a function f such that f''(3) = 0 but f is concave up for all x is:

f(x) = x^4

The second derivative of f is:

f''(x) = 12x^2

Thus, f''(3) = 0. However, f(x) is concave up for all x because f''(x) is always positive for x ≠ 0.

(d) An example of a function f such that f(3) is a local maximum and f'(3) is undefined is:

f(x) = 1/(x-3)

The derivative of f is:

f'(x) = -1/(x-3)^2

which is undefined at x = 3. The function f has a vertical asymptote at x = 3. Since f(x) is decreasing as x approaches 3 from both sides, f(3) is a local maximum.

(e) An example of a function f such that f'(3) is undefined, but f(3) is neither a local minimum nor a local maximum is:

f(x) = x^3

The derivative of f is:

f'(x) = 3x^2

which is undefined at x = 0. However, f(3) is neither a local minimum nor a local maximum since f(x) is increasing for all x.

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Answer:

301.224 g

Step-by-step explanation:

Let's divide in the ratio 21:4 the volume of the medal (35cm^3)

copper = (21/25)(35cm^3) = 29.4cm^3

tin = (35 - 29.4)cm^3 = 5.6cm^3

FOR THE COPPER

8.84 : 1 = X : 29.4

X = 259.896(g)

FOR THE TIN

7.38 : 1 = X : 5.6

X = 41.328(g)

(259.896 + 41.328)g = 301.224 g

Answer:

width = 7 and length = 9

Step-by-step explanation:

Let's assume width = w, and length = 2 + w

So area of a rectangle = width * length

63 ft² = w (2 + w)

63 = 2w + w²

w² + 2w - 63 = 0

Use the quadratic formula to solve this

here, a = 1, b = 2 and c = -63

w = 7 or -9

The dimensions of a rectangle cannot be negative. So we take the dimension, w = 7.

Width = 7 and Length = 7+2 = 9

The percentage error in measuring the line segment is 4%. The correct option is (4)4%.

The actual length of the line segment is 5 cm, but it was measured as 5.2 cm, which is 0.2 cm more than the actual length.

The percentage error in measuring the line segment can be calculated as follows:

Percentage error = (Error / Actual value) x 100%

where Error = Measured value - Actual value

Substituting the given values, we get:

Error = 5.2 cm - 5 cm = 0.2 cm

Actual value = 5 cm

Percentage error = (0.2 cm / 5 cm) x 100% = 4%

Therefore, the percentage error in measuring the line segment is 4%.

Hence, the correct option is (4)4%.

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Answer:

140.4

Step-by-step explanation:

Answer:

$141.01 and if it is the nearest whole number it would be $141

Step-by-step explanation:

first you have to do 94 divided by 6. you do this to see how much 1 meal cost.

then you get: 15.67

now you take 15.67x3=47.01

cuz we need 3 more meals. we know this cuz we have 6 and want 9 so 6-9 is 3.

now we take 47.01+94=141.01

we just need to add 3 to the 6 we have to make 9 meals.

so your answer would be $141.01

plz give brainliest!

Answer:

Fifteen less than twice a number35% of n4/17 of nSubtract y from 5Subtract 5 from yadd|sumof x and|to 8x added to 3x subtracted from 20p added to tp subtracted from tmultiply x and 825 divided by a numberquotient of ten and a number decreased by twothe sum of 4 and a number divided by 104 times a number plus 5 times the same numbert is atleast 10 and at most 22divide 8 by xdivide x by 93 groups of wx is no less than 25The product of w and 5 is less than 21w more than 47 times the sum of x and ytake away 4 from 3 times dtwice the sum of a number and 3

Answer:

A

Step-by-step explanation:

intercept the x- intercept

Answer:

Step-by-step explain

x-intercept: 2.8 hours

y-intercept: 0.7 . . . . fraction of power remaining

Step-by-step explanation:

The equation is in slope-intercept form, so the y-intercept can be read directly: 0.7.

To find the x-intercept, set y=0 and solve for x:

0 = -0.25x +0.7

0.25x = 0.7 . . . . . add .25x

x = 2.8 . . . . . . . . . multiply by 4 (that is, the reciprocal of 0.25)

The x-intercept is 2.8; the y-intercept is 0.7.

sorry that's all I know

Answer:

1/2 and 13/18 respectively

Step-by-step explanation:

even-number results:

2, 4 6 ,8, 10 and 12

the combinations of each result are respectively

1+3+5+5+3+1 = 18

The total number of combinations on a roll pair is 36

then the probability of obtaining an even result is:

p = 18/36 = 1/2 or 0.5

so that the result is less than nine, we eliminate the combinations of results 9, 10, 11 and 12:

4 + 3 + 2 + 1 = 10

36 -10 = 26

the probability of obtaining a result less than nine is:

p = 26/36 = 13/18 or 0.72

Hope this helps

For a standardized normal distribution, Z, the probability that Z is greater than 1.50 is less than the probability that Z is greater than 2.50. False, is the correct statement regarding the given statement.

In statistics, the standardized normal distribution is a normal distribution with a mean of zero and a standard deviation of one. It is also known as the standard normal distribution. The distribution is entirely defined by its mean and standard deviation. For example, any normal distribution can be standardized by subtracting its mean and dividing by its standard deviation.This distribution is a continuous probability distribution.

A continuous probability distribution is a probability distribution that assigns probabilities to an infinite number of possible outcomes that are not countable. These probabilities are expressed as the area under the curve in a continuous probability distribution. The total area under the curve of a continuous probability distribution is always equal to one.

The statement given "For a standardized normal distribution, Z, the probability that Z is greater than 1.50 is less than the probability that Z is greater than 2.50" is false.

This is because the normal distribution curve is a symmetrical curve and the probability of being greater than a value of 1.50 or 2.50 is the same.

Therefore, the probability of Z being greater than 1.50 is the same as the probability of Z being greater than 2.50. The answer is False.

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Answer:

v=4/3 pie r ³ you would put 8 in

Step-by-step explanation:

the formal

The value of angle θ in the stretched spring is determined as 45.8°.

option D.

The value of angle θ is calculated by applying the principle of trigonometry identity as shown below.

From the diagram of the stretched spring, we can notice that the shape formed is a right angle triangle.

The value of angle θ is calculated by using the trigonometry identity of cosine.

cos θ = adjacent side / hypothenuse side

cos θ = 3 ft / 4.3 ft

cos θ = 0.69767

θ = cos ⁻¹ (0.69767)

θ = 45.76⁰

θ ≈ 45.8⁰

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The complete question is below:

When the spring is stretched so that the distance from Point X to Point Z is 4.3 feet, what is the value of θ, to the nearest tenth of a degree?

Α. 24.9°

B. 27.7°

C. 62.3°

D. 45.8°

False. The minimum of two independent exponential random variables is not necessarily exponential.

For two independent exponential random variables X and Y, with rate parameters λ1 and λ2 respectively, the minimum of X and Y is a random variable Z with the cumulative distribution function (CDF) given by

\(F_Z(z) = 1 - e^(-(λ1+λ2)z)\).

The survival function of Z is given by

\(S_Z(z) = e^(-(λ1+λ2)z)\).

Therefore, the probability density function of Z is

\(f_Z(z) = (λ1 + λ2)e^(-(λ1+λ2)z)\).

This is not an exponential distribution because the form of the probability density function is not of the form \(f(z) = λe^(-λz)\).

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A. x1, x2, x3, s1, s2 ≥ 0

B. New table au:

x1 x2 x3 s1 s2 RHS

x2 | 0 1 4/7 3/14 -1/14 1/2

s2 | 1 0 3/7 -1/14 3/14 3/2

Z | 0

a) Writing the problem in equation form and adding slack variables:

Maximize Z = 3x1 + 2x2 + x3

Subject to:

3x1 - 3x2 + 2x3 + s1 = 3

-x1 + 2x2 + x3 + s2 = 6

x1, x2, x3, s1, s2 ≥ 0

b) Solving the problem using the simplex method:

Step 1: Convert the problem into canonical form (standard form):

Maximize Z = 3x1 + 2x2 + x3 + 0s1 + 0s2

Subject to:

3x1 - 3x2 + 2x3 + s1 = 3

-x1 + 2x2 + x3 + s2 = 6

x1, x2, x3, s1, s2 ≥ 0

Step 2: Create the initial tableau:

x1 x2 x3 s1 s2 RHS

s1 | 3 -3 2 1 0 3

s2 | -1 2 1 0 1 6

Z | 3 2 1 0 0 0

Step 3: Perform the simplex method iterations:

Iteration 1:

Pivot column: x1 (lowest ratio = 3/1 = 3)

Pivot row: s2 (lowest ratio = 6/2 = 3)

Perform row operations to make the pivot element equal to 1 and other elements in the pivot column equal to 0:

s2 = -s2/3

x2 = x2 + (2/3)s2

x3 = x3 - (1/3)s2

s1 = s1 - (1/3)s2

Z = Z - (3/3)s2

New tableau:

x1 x2 x3 s1 s2 RHS

x1 | 1 -2/3 -1/3 0 1/3 2

s2 | 0 7/3 4/3 1 -1/3 2

Z | 0 2/3 2/3 0 -1/3 2

Iteration 2:

Pivot column: x2 (lowest ratio = 2/7)

Pivot row: x1 (lowest ratio = 2/(-2/3) = -3)

Perform row operations to make the pivot element equal to 1 and other elements in the pivot column equal to 0:

x1 = -3x1/2

x2 = x2/2 + (1/7)x1

x3 = x3/2 + (4/7)x1

s1 = s1/2 - (1/7)x1

Z = Z/2 - (2/7)x1

New tableau:

x1 x2 x3 s1 s2 RHS

x2 | 0 1 4/7 3/14 -1/14 1/2

s2 | 1 0 3/7 -1/14 3/14 3/2

Z | 0

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Answer:

She made a profit of 1,335 cedis

Step-by-step explanation:

Here, we want to calculate the profit made

Profit is selling price - cost price

Her cost price is 65 credits

For her selling price;

she sells 3 for 20 cedis

So the price she sold 210 will be;

(210 * 20)/3 = 1,400 cedis

So the profit made is;

1,400-65 = 1,335 cedis

well, we know the angles at E and D are both 130°, and the other four angles are all equal hmmm let's call them hmmm "x".

\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n=6 \end{cases}\implies S=180(6-2)\implies S=720 \\\\[-0.35em] ~\dotfill\\\\ x+x+x+x+130+130~~ = ~~720\implies 4x+260=720 \\\\\\ 4x=460\implies x=\cfrac{460}{4}\implies x=115^o~~ = ~~\measuredangle BAF\)

The size of angle BAF in the hexagon ABCDEF is 92°. This is determined by applying the properties of regular hexagons and solving for the value of x, which represents angle BAF.

To find the size of angle BAF in the hexagon ABCDEF, we'll use the information given and apply the properties of regular hexagons and the angles of triangles.

Given information:

Angle BAF = Angle ABC = Angle AFE = Angle BCD (let's call this angle x).

Angle DEF = Angle CDE = 130°.

Since the sum of the interior angles of a hexagon is (6-2) × 180° = 720°, we can write the equation:

x + x + 130° + x + x + 130° = 720°

Simplify the equation:

5x + 260° = 720°

Now, solve for x:

5x = 720° - 260°

5x = 460°

x = 460° / 5

x = 92°

Now that we have the value of angle x, which is 92°, we can find angle BAF:

Angle BAF = x = 92°

So, the size of angle BAF is 92°.

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