help me plssssss :(:

Answer:

it=552

Step-by-step explanation:

with rounding it = 550

The value of z-score for a pregnancy lasting 286 days will be;

⇒ z - score = 1.25

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given that;

Mean = 266 days

Standard deviation = 16 days

Now,

We know that;

⇒ z - score = (X - μ) / σ

Substitute all the values, we get

⇒ z - score = (286 - 266) / 16

⇒ z - score = 20/16

⇒ z - score = 1.25

Thus, The value of z - score = 1.25

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Answer:

  698 cm²

Step-by-step explanation:

The volume is given by ...

  V = LWH

Filling in the given values, we have ...

  1020 = (17)(5)y . . . . . . . using L=17, W=5, H=y

  y = 1020/(17·5) = 12

The surface area is given by ...

  A = 2(LW +H(L+W))

  A = 2(17·5 +12(17+5)) = 2(85 +264) . . . . . . . using L=17, W=5, H=y=12

  A = 698 . . . . square centimeters

Peter invested $138 in the 12% account and $288 in the 13% account.

Let x be the amount invested in the 12% account and y be the amount invested in the 13% account.

We know that the total amount invested is the sum of the two accounts, so: x + y = total amount invested

We also know that Peter has $150 more in the 13% account, so:

y = x + 150

The total interest earned is $54, which can be expressed as:

0.12x + 0.13y = 54

Substituting y with x + 150, we get:

0.12x + 0.13(x + 150) = 54

Simplifying and solving for x, we get:

0.12x + 0.13x + 19.5 = 54

0.25x = 34.5

x = 138

Therefore, Peter invested $138 in the 12% account and $288 in the 13% account.

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Answer:

-3

Step-by-step explanation:

Answer:

4 61/90

Step-by-step explanation:

6 - 2 = 4

9 / 10 - 2 / 9 = 61 / 90

Hence, A:C is 4:21

The northerly component of the wind blowing at 15 m/s from the South East is approximately 10.605 m/s.

To determine the northerly component of a wind blowing from the South East, we need to consider the direction from which the wind is coming and its magnitude.

A wind blowing from the South East means it is coming from the South East direction towards the opposite direction, which is the North West. Since the wind is coming from the South East, we can say it has a southeasterly direction.

To find the northerly component, we need to break down the wind vector into its north and east components. The northerly component represents the part of the wind that is directed towards the north.

If we assume that the wind is blowing at an angle of 45 degrees with respect to the North, we can use trigonometry to find the components. Since the wind is blowing at 15 m/s, we can consider it as the hypotenuse of a right triangle.

The northerly component can be found using the sine of the angle:

Northerly Component = Wind Speed * sin(Angle)

Northerly Component = 15 m/s * sin(45°)

Using the value of sin(45°) (which is √2 / 2 ≈ 0.707), we can calculate the northerly component:

Northerly Component ≈ 15 m/s * 0.707

Northerly Component ≈ 10.605 m/s

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the answer is 56 it

ttgt

Answer:

A) 0.23

B) 0.14

Step-by-step explanation:

Part A)
To solve this question, we'll have to use the Bernoulli formula.
The formula claims that the probability to get \(k\) successes out of \(n\) attempts is given by \(\binom{n}{k}p^k(1 - p)^{n - k}\).

In our case, \(n = 5\), \(k = 3\), and \(p = 0.78\).

Therefore, the probability that 3 out of the 5 drivers use their turn signal is

\(\binom53 \times 0.78^3 \times 0.22^2 \to 0.23\)

Part B)

We are told that the police officer pulled over 5 drivers, 3 of them using turn signals. In this part, we are asked "what is the probability that the 5th driver uses the turn signal and only 2 of the previous four drivers use turn signals?".

\(0.78 \times \binom42 \times 0.78^2 \times 0.22^{4-2}\\\to 0.14\)

Answer:

0.1727

Step-by-step explanation:

this is the correct answer because g00gle is a thing

The circle at -2 is open, indicating that x is not included in the solution, while the circle at 6 is closed, indicating that x is included in the solution. The shaded area represent all values of x that satisfy compound inequality.

A compound inequality is an inequality that combines two or more inequalities with the help of the logical connectives "and" or "or".

The "and" compound inequality represents a solution that satisfies both inequalities, while the "or" compound inequality represents a solution that satisfies at least one of the inequalities.

-3x + 2 < - 2x - 4 can be rewritten as -x < -6, which is equivalent to x > 6 when both sides are multiplied by -1 and the direction of the inequality is reversed.

Similarly, 2x + 3 > 4x + 7 can be simplified as -2x > 4, which is equivalent to x < -2 when both sides are divided by -2 and the direction of the inequality is reversed.

Therefore, the compound inequality is x > 6 or x < -2.

The solution can be graphed on a number line as follows:

----(o====o)------------------o-----

-infinity -2                     6 infinity

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Answer:16.7 decrease

Step-by-step explanation

yww

The conclusion of the proportion is if a and bare not coprime, when it share a factor greater than 1

Here we have given that if and are not coprime that is share a factor greater than.

And we need to find the examples that contradict the conclusions of proposition.

While we looking into the given question, we have identified that  if and are not coprime.

In order to find the conclusion to this one, we must know the definition of co prime.

The term co prime is referred as those numbers that do not have any common factor other than 1.

As per the definition, we have clearly know that if the two number has the factor greater than one then it will not a co prime to each other.

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Answer:

(a) Yes, E and F are independent events.

(b) P(E and F) = P(E)P(F) = (1/2)(1/2) = 1/4

The y3(t) ≠ y1(t) + y2(t), the system is not linear.

To show that the system is not linear, we need to check if it follows the properties of linearity: superposition and homogeneity.

A counter-example can help demonstrate that these properties do not hold for the given system.
System definition: y(t) = |a(t-1)|
Let's consider two arbitrary inputs a1(t) and a2(t) with their respective outputs y1(t) and y2(t):
1. y1(t) = |a1(t-1)|
2. y2(t) = |a2(t-1)|
Now let's apply the superposition principle:
a3(t) = a1(t) + a2(t)
Let's find the output y3(t) for a3(t) and check if it's equal to y1(t) + y2(t):
y3(t) = |a3(t-1)| = |a1(t-1) + a2(t-1)|
Now let's check if y3(t) = y1(t) + y2(t):
y1(t) + y2(t) = |a1(t-1)| + |a2(t-1)|
Since we cannot guarantee that |a1(t-1) + a2(t-1)| = |a1(t-1)| + |a2(t-1)| for all possible inputs a1(t) and a2(t), we can conclude that the given system is not linear.

Here is a counter-example:
Let a1(t) = 1 for all t and a2(t) = -1 for all t.
Then, a3(t) = a1(t) + a2(t) = 0 for all t.
The outputs will be:
1. y1(t) = |a1(t-1)| = |1|
2. y2(t) = |a2(t-1)| = |-1|
3. y3(t) = |a3(t-1)| = |0|
Now, let's compare y3(t) with y1(t) + y2(t):
y3(t) = 0, but y1(t) + y2(t) = 1 + 1 = 2.

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Answer:

it is a negative slope (going left), dashed and shaded left below the line - the points are not correct.

y<-2x+3/2

-2 = m and the y-intercept is 3/2

Step-by-step explanation:

Answer:

The second graph showing the y-intercept as 2 and the x-intercept as 1 with the left side of the line shaded in red. Ur welcome and have a nice day :3

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

4(x-3)-8=16

1. Distribute

(4x) - (4*3) - 8 =16

4x-12-8=16

Combine the 12 and the 8

4x-20=16

Add 20 to both sides

4x-20+20=16+20

4x=36

Divide by 4.

x=9

Hope this helps plz hit the crown :D

Answer: -2

Step-by-step explanation:

The factored form of the polynomial x^3 - 12x^2 - 2x + 24 by grouping is (x - 12)(x^2 - 2).

To determine the factors of the polynomial x^3 - 12x^2 - 2x + 24 by grouping, we can follow these steps:

Step 1: Group the terms in pairs. In this case, we can pair the first two terms and the last two terms:

(x^3 - 12x^2) + (-2x + 24)

Step 2: Factor out the greatest common factor from each pair. From the first pair, we can factor out x^2, and from the second pair, we can factor out -2:

x^2(x - 12) - 2(x - 12)

Step 3: Notice that we now have a common binomial factor of (x - 12) in both terms. Factor out this common binomial factor:

(x - 12)(x^2 - 2)

Therefore, the factored form of the polynomial x^3 - 12x^2 - 2x + 24 by grouping is (x - 12)(x^2 - 2).

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Answer:

The coordinates of P',Q',R',S' are;

Explanation:

Given the quadrilateral PQRS as shown on the diagram.

To determine the coordinates of the figure P'Q'R'S' which is the dilated image of PQRS. Let us apply the formula below;

Where;

the center of dilation is (a,b)

the scale factor is k

Given;

And from the image PQRS;

We can then calculate the coordinates of their respective P',Q',R' and S' using the formula;

Therefore, the coordinates of P',Q',R',S' are;

The amount that would be in the account when Alana is 21  is $2890

We have to know the formula for simple interest.

This is expressed as;

S.I = PRT/100

Given that the parameters of the formula are enumerated as;

From the information given, substitute the values, we have;

SI = 1000 × 9 × 21/100

Multiply the values,

Then, divide by the denominator, we have;

SI = $1890

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The given options, the only value greater than 1 is 1.003. Therefore 0.886, which is less than 1 and makes the inequality true.

The given number sentence is 5.3 × > 5.3, where we need to find the scaling factor that makes the inequality true. To do this, we can divide both sides of the inequality by 5.3. This gives us:

5.3 × x > 5.3 ÷ 5.3 × k

We need to find the value of k that makes the inequality true. Simplifying the right-hand side of the equation, we get:

5.3 ÷ 5.3 × k = k × 1 = k

Substituting this into our equation, we get:

5.3 × x > k

We know that 5.3 × 1 = 5.3, which means that k must be greater than 1 to satisfy the inequality. Among the given options, the only value greater than 1 is 1.003. However, this value would make the inequality too large, so it is not the correct answer.

The correct answer is therefore 0.886, which is less than 1 and makes the inequality true.

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Answer:

72cm

Step-by-step explanation:

Area = b times h / 2

so 12 times 12 /2

144 / 2

72

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

To compare these two values, we first need to convert the mixed number 7 3/8 to an improper fraction. To do so, we multiply the whole number (7) by the denominator of the fraction (8), then add the numerator (3), and put the result over the denominator:

7 3/8 = (7 x 8 + 3) / 8 = 59/8

Now we can rewrite the inequality as:

(59/8) × (4/5) < 59/8

To simplify the left-hand side of the inequality, we multiply the numerators and denominators:

(59/8) × (4/5) = (59 × 4) / (8 × 5) = 236/40 = 59/10

So the inequality becomes:

59/10 < 59/8

To compare these fractions, we need to find a common denominator. The least common multiple of 8 and 10 is 40, so we can convert both fractions to have a denominator of 40:

59/10 = (59 x 4) / (10 x 4) = 236/40

59/8 = (59 x 5) / (8 x 5) = 295/40

Now we can see that 236/40 < 295/40, which means that:

59/10 < 59/8

Therefore, the inequality 7 3/8 × 4/5 < 7 3/8 is true.