An aerospace company has submitted bids on two separate federal government defense contracts. The company president believes that there is a 45% probability of winning the first contract. If they win the first contract, the probability of winning the second is 75%. However, if they lose the first contract, the president thinks that the probability of winning the second contract decreases to 52%.

The value of c for a standard normal distribution, P(z < c) = 0. 9663 is 0.47.

What is standard normal distribution?

The standard normal distribution table gives the probability of a regularly distributed random variable Z, whose mean is equivalent to 0 and difference equal to 1, is not exactly or equal to z. The normal distribution is a persistent probability distribution.

What is z score?

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by

z = (x - μ)/σ

Where x is the raw score, μ is the mean and σ is the standard deviation.

Given that P(z < c) = 0. 9663; hence:

From the normal distribution table, c = 0.47

The value of c for a standard normal distribution, P(z < c) = 0. 9663 is 0.47.

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Given:

Length of sides of smaller triangle = 4 and x

Lengths of larger sides = 10 and 25

Let's solve for the value of x.

Since both triangles are similar, the corresponding sides will be proportional.

To solve for x, apply the proportionality equation:

Cross multiply:

Therefore, the value of x is 10.

The value of k is 4 , the line through (-1,k) and (-7, -2).

Given,

The line through (-1, k) and (-7, -2) is parallel to the line y = x + 1.

To find the value of k

Now, According to the question is:

For Parallel lines, We know that

It has same slope as y = x + 1

Also, We know y = x +1 has slope of 1.

Using the formula for the slope :

m = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

Now, For value k

We have, 1 = (-2-k)/(-7-1)

=> 1 = (-2-k)/(-6)

=> -6 = -2 -k

=> -6+2 = -k

=> k = 4

Hence, The value of k is 4.

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Answer:

Step-by-step explanation:

I am not entirely sure that this is correct, but I believe the interval notation of your point is (∞,-4). I hope this helps you!

To find the value of x:

Consider the right angle triangle,

The opposite side is 1.4 ft

The adjacent side is x

The hypotenuse side is 2.1ft

Using Pythagoras theorem,

Hence, the value of x is 1.57 ft.

Given: A fraction

Required: To simplify the given fraction.

Explanation: The given fraction can be simplified by rationalizing the denominator of the fraction. The rationalizing factor is

Hence,

Which gives

Final Answer: Option A is correct.

Answer: -0.733

Step-by-step explanation:

To estimate the instantaneous rate of change, we can take the slope of the secant through two points on the curve that are close to x=5.

In this case, we will consider [tex](4.9, f(4.9))[/tex] and [tex](5.1, f(5.1))[/tex].

[tex]\frac{f(5.1)-f(4.9)}{5.1-4.9} \approx -0.733[/tex]

Total sample popuation = 400

Fraction of those for the tax hike = 3/16

fraction of those against the tax hike = 7/16

The number of those that support the tax hike is

3/16 of 400

=> 3/16 x 400

=> 1200/ 16

=>75 people

Answer::

Explanation:

Given the point in polar coordinate:

To convert to Cartesian coordinates, use the formula below:

Thus:

The Cartesian coordinates are:

Answer:

-4.31818 or 2.13636

Step-by-step explanation:

I can't really tell how its written if it's -4 and 7/22 it would be -95/22 or -4.31818. if it is -47/22 it would be 2.13636. I did this by dividing the numerator by the denominator

Answer:

-4.31818 or -2.13636

Step-by-step explanation:

if its -4 and 7/22 then the first one and if its -47/22 then the second one

Given:

We will find the original price, let it = x

Discount: 20%

Sale price: $75

As the discount = 20%

So, the sale price = 100 - 20 = 80%

So, 80% of x = 75

Note 80% = 80/100 = 0.8

So, we can write the following equation:

So, the answer will be the original price = $93.75

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: State the number of outcomes possible for three tossing of a coin

Since a coin has two possible outcomes and is tossed three times, the total outcomes will be:

STEP 2: Find the number of sample spaces for the three tosses

STEP 3: Get the outcomes of the events for which the second toss is tails

Hence, the answers are given as:

Sample Space:

The event that the second toss is tails:

Given:

The function is,

It can be written as,

Polynomial is a combination of terms seperated using + and - sign which does not contain,

1) Variable in demominator

2) Variables under radical

3) special features like trigonometric function, absolute values etc.

So, it shows that the given function is polynomial with degree 4.

Answer: option D)

Answer If the answer is not 36 you have to look at the way the sentence is structured . Time is taken between hours not on them The answer should be 44. To go on 4 it takes four strikes on three spots that take a total of 12 secs and four per space

So the answer should be 44

Based on the question, the ratio of the salt mixture is:

So, if we have 3.8 liters in 1 gallon, we would need 90grams x 3.8 = 342 grams of salt in 1 gallon.

The next step is to determine how many ounces are there in 342 grams. If 1 ounce = 28.35 grams, then 342 grams divide 28.35 grams = 12.06. Hence, in 342 grams, there are 12.06 ounces.

Thus, we can say that:

The ratio of the salt mixture is 12.06 ounces per gallon.

Where

a = 2

b = 6

c = -16

Using quadratic formula, we solve for x:

1) Since in the USA 8 x 10 ^9 messages are sent every month, that means that approximately 8 billion messages are sent.

2) We can Prime factorize it:

Note that on the right side we've picked only prime numbers. In this case, 2 and 5.

So we can rewrite 8 x 10^9 as prime factors.

3) Hence, the answer is:

The station cost $2 to start and after that $4 for every hour or fraction of hour.

For 2.5 hours, the charge is $2 to start after that 4$ for first hour, $4 for second hour and $4 for next 1/2 hours. Total cost is,

Simillarly for 2 hours total cost is,

For 0 hours there is start cost of $2 so point (0,2) must be included or (0,0) NOT included.

PART B

Determine the cost to charge a car at station A for 4 hours.

Determine the cost to charge a car at station B for 4 hours.

So cost to charge a car for 4 hours is less for station B and fee for charging the car for 4 hours there is $15.

we get that:

so we get

The expression simplifies to 5 is  -27/3 +14 .

The option D is correct.

What is Simplification?

Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler, usually shorter.

Given,

Which expression simplifies to 5?

Here, Options are

A. 27/3 - 14

= 9 - 14 = -5

B. 27/3 + 4

= 9 + 4 = 13

C. --27/3 - 4

= -9 - 4 = -13

D. -27/3 +14

= -9 + 14 = 5

Hence, The expression simplifies to 5 is  -27/3 +14 .

The option D is correct.

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Answer:

Greatest common factor: 6

The simplest form of 18/24 = 3/4

Explanation:

First, we need to identify the factors of 18 and 24. The factors are the numbers that divide 18 and 24.

Factors of 18: 1, 2, 3, 6, 9, 18

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.

Then, the common factors are: 1, 2, 3, and 6

Finally, the greatest common factor is 6.

On the other hand, if we want to write 18/24 in the simplest form, we need to divide both numbers by the greatest common factor, so:

So, 18/24 in the simplest form is 3/4

Explanation

We are told that the maximum distance, d in kilometres that can be observed is given by

If the height of the building is 290.7 meters, then

The value of d will be calculated as

Thus, the value of d will be 436.1 km

The translation we need to get f(x) is a translation of 7 units to the left and 6 units down.

I assume we want to identify the transformation that we need to apply to the parent absolute value function |x| in order to get f(x).

Remember that a horizontal translation of N units and a vertical translation of M units is written as:

y = |x - N| + M

In this case we have:

f(x) = |x + 7| - 6

Comparing it with the formula above, we get:

N = -7

M = -6

This means that we have a translation of 7 units to the left, and 6 units down.

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The value of the function f(-5) is -6

The given parameters are the graphs in the figure

From the question, we have the function definition to be f(-5)

When the graphs are analysed, we have the following highlights

The equation of the first graph is illustrated by the function f(x), while the second is illustrated by the function g(x)

Recall that the function definition is f(-5)

So, we use the function represented by f(x) i.e. the first graph

The function f(-5) means the value of x is -5

Looking at the values on the first graph, we have the following representation

f(-5) = -6

Hence, the function f(-5) has a value of -6

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The x-intercept -2 is and the y-intercept is 3

Here, we are tasked by finding the x-intercept and the y-intercept of the given straight line

The x-intercept is the point on the graph where we have the coordinates as (x,0)

What this mean is that at the x-intercept, the value of y = 0

Thus by substituting y = 0 into the equation, we can get the value of the x-intercept

Making the substitution, we have

3x - 2(0) = -6

3x = -6

x = -6/3

x = -2

The y-intercept is the point on the graph where we have the coordinates as (0,y)

What this mean is that at the y-intercept, the value of x = 0

Thus by substituting x = 0 into the equation, we can get the value of the y-intercept

Making the substitution, we have

3(0) - 2y = -6

-2y = -6

divide both sides by -2

y = -6/-2

y = 3

Answer: D. 1/8

Explanation

The slope of the line can be calculated with:

where (x₁, y₁) and (x₂, y₂) are the two points given. Then:

• x₁ = 9

• y₁ = –4

• x₂ = 1

• y₂ = –5

Thus, replacing the values and simplifying:

SOLUTION:

Step 1:

In this question, we are given the following:

You draw one card from a​ 52-card deck.

Then the card is replaced in the deck and the deck is​ shuffled, and you draw again.

Find the probability of drawing a nine the first time and a heart the second time​

Step 2:

From the question, we can see that the probability of drawing a nine the first time and a heart the second time​ is:

CONCLUSION:

The probability of drawing a nine the first time and a heart the second time​ is: