D Given: F is the midpoint of HE F GH I DE Prove: AHFG = AEFD H G Statement Reason​

Answer:

30,246

Step-by-step explanation:

multiply the two numbers

Answer:

(x+3)^2 = 16

Step-by-step explanation:

x^2+6x = 7

We are trying to complete the square

The first step is to 6ake the coefficient of the x term,

6

and then divide by 2

6/2 =3

Square it

3^2

Add this to each side

x^2 + 6x+9 = 7+9

Then, we have ( x+(6/2)) ^2 is on the left

(x+3)^2 = 16

An increase in the exchange rate of the U.S. dollar relative to a trading partner can result from higher interest rates and higher inflation in the U.S. The correct answer is option (e).

This is because higher interest rates attract foreign investors to the U.S., increasing demand for the U.S. dollar and causing its value to rise relative to other currencies.

Higher inflation in the U.S. also makes the dollar less attractive to foreign investors, causing its value to decline.

The other options listed may affect trade and economic activity, but do not directly impact the exchange rate.

Therefore, the correct option is (e) higher interest rates and higher inflation in the U.S.

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Answer:

-6x-16

Step-by-step explanation:

Answer:

13+9 i think ok try it yorself

-22

The probability that the mean lifetime of 25 randomly selected tires of this type will exceed than 42,000 miles is 25.14.

To break this problem, we need to use the standard normal distribution, assuming that the distribution of tire continuances is roughly normal. We can regularize the value of 42,000 using the formula

z = ( x- μ)/ σ

where x is the value of interest( 42,000 long hauls), μ is the mean tire continuance( 40,000 long hauls), and σ is the standard deviation( 3,000 miles). Plugging in the values, we get

z = ( 42,000- 40,000)/ 3,000 = 0.67

Using a standard normal distribution table or calculator, we can find the probability that an aimlessly named tire will last further than 42,000 long miles by looking up the area to the right of z = 0.67 under the standard average wind. This probability is roughly 25.14.

thus, the probability that a tire named arbitrarily from this brand will last more than 42,000 miles is roughly 25.14.

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The correct question is given below-

A particular brand of tires lasts an average of 40,000 miles with a standard deviation of 3,000 miles. What is the probability a tire selected at random lasts more than 42,000 miles?

Answer:

-1

Step-by-step explanation:

write it in the following manner:

-3x + 7  - 5x = 15

-8x + 7 = 15

-8x = 8

x = -1

Thus, the number has to be smaller than -1.

The smallest integer that makes the given inequality true is 0.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given inequality,

-3x + 7 - 5x < 15

We have to find the value of x.

(-3x - 5x) + 7 < 15

-8x < 8

Dividing whole sides by -1, the inequality sign changes.

x > -1

Smallest possible value is 0.

Hence the smallest posible value is 0.

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1) There is a right angle triangle

2) 22822 miles

3)  45297 miles

A right triangle (also known as a right-angled triangle) is a triangle in which one of the angles is a right angle, that is, an angle of 90 degrees. The side opposite the right angle is the longest side of the triangle and is called the hypotenuse. The other two sides, adjacent to the right angle, are called legs.

The distance between Station 1 to the satellite;

Sin 10 = 3,963 /x

x = 3,963 /sin 10

x = 22822 miles

Distance between satellite  and station 2;

Tan 10 = 3963/x

x = 3,963 /Tan10

x = 22475 miles

Total distance = 22822 miles + 22475 miles

= 45297 miles

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Answer:

2448 is the volume

Step-by-step explanation:

HOPE THIS HELPS!

The ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.

To represent the gauge readings as rational numbers, we can express them as fractions with a common denominator.

Given readings:

25 psi pressure

13 psi vacuum

6.3 psi vacuum

7.8 psi vacuum

1.9 psi vacuum

2 psi pressure

7.8 psi pressure

Expressed as rational numbers with a common denominator:

25 psi = 25/1

13 psi = 13/1

6.3 psi = 63/10

7.8 psi = 78/10

1.9 psi = 19/10

2 psi = 2/1

7.8 psi = 78/10

Now, let's order these rational numbers from least to greatest:

1.9 psi = 19/10

6.3 psi = 63/10

7.8 psi = 78/10

7.8 psi = 78/10

13 psi = 13/1

25 psi = 25/1

2 psi = 2/1

Ordered from least to greatest:

19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1

Therefore, the ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.

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Answer:

Reflection about the y-axis is according to the rule

(x,y)->(-x,y)

Therefore F(x,y) -> F'(-x,y)

The distance between F' and F is (-x,y)-(x,y)=-2x, or the positive distance is 2x.

Answer:

d: The graph shifts 3 units up

Step-by-step explanation:

Answer:

3 and 4

Explanation:

The two perfect squares closest to √11 are √9 and √16, which are 3 and 4, respectively.

Hope this helps!

Answer:

8.03

Step-by-step explanation:

43 min = 3.75 miles

90 min = X

99 min×3.75÷42=8.03

The height of the pole is 12.5 feet.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Cindy's shadow is 5 feet.

length of the shadow of the pole at the same time, she finds it to be 12.5 feet.

So,

12.5/5=x/5,

62.5=5x

x= 12.5 feet.

Hence, the height of the pole is 12.5 feet.

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(i) Let W be the event that the wind is blowing and H be the event that she hits the target. Using the multiplication rule: Probability of wind and hitting target

= P(W) x P(H|W) = 0.3 x 0.4 = 0.12

(ii) Probability of hitting the target on the first shot:

P(H) = P(not windy) x P(H|not windy) + P(windy) x P(H|windy)

= (1 - 0.3) x 0.7 + 0.3 x 0.4= 0.58

(iii) There are two cases to consider: She hits the target on the first shot and misses on the second, or she misses on the first shot and hits the target on the second.

P(hits target exactly once in two shots)

= P(H1, not H2) + P(not H1, H2)

= [P(not windy) x P(H1, not H2|not windy) + P(windy) x P(H1, not H2|windy)] +[P(not windy) x P(not H1, H2|not windy) + P(windy) x P(not H1, H2|windy)]

= [(1 - 0.3) x 0.7 x 0.6 + 0.3 x 0.4 x 0.6] + [(1 - 0.3) x 0.3 x 0.4 + 0.3 x 0.6 x 0.4]

= 0.282

(iv) Probability of no wind given that she missed:

=P(not W|not H)

= P(not H|not W) x P(not W) / P(not H)

= [P(not windy) x P(not H|not windy) + P(windy) x P(not H|windy)] x [1 - P(H)]

= [(1 - 0.3) x 0.3 + 0.3 x 0.6] x [1 - 0.58]= 0.112

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Answer:

1) c = 25m + 90

2) c = 17m; $85

3) c = 10m + 15; $135

Step-by-step explanation:

Let m = number of months

1)

c = 25m + 90

2)

c = 17m

For 5 months, m = 5.

c = 17m = 17 × 5 = 85

$85

3)

c = 10m + 15

1 year = 12 months, so m = 12

c = 10m + 15 = 10 × 12 + 15 = 120 + 15 = 135

$135

If Mr. Garcia distributes all of the clay equally among the 8 containers,  each container will have  1 3/8 pounds

What does division of fractions mean?

A fraction is divided into additional equal pieces when it is divided into fractions. For instance, if you had three-fourths of a pizza remaining and divided each slice into two pieces, you would have received six slices, which would be equivalent to six-eighths of the entire pizza.

The figure shows number of clays particular pound

Multiply the number of clays with the corresponding pounds to the get the total weight of that particular pound..

Then, add all to get the total shown:

(1/2*1)+(1*2)+(1 1/2*3) +(2*2)

= 0.5 + 2+4.5+ 4

= 11 pound

Divide this by 8

11/8 = 1.375

1 3/8 =  1.375

If Mr. Garcia distributes all of the clay equally among the 8 containers,  each container will have  1 3/8 pounds

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Answer:

164°

Step-by-step explanation:

Answer:

Inductive reasoning is a method of logical thinking that combines observations with experiential information to reach a conclusion.

Step-by-step explanation:

θ = 52.71° or 232.71°

In radians

θ = 0.2928π rad or 1.2928π rad

That is,

θ = 0.92 rad or 4.06 rad

Step-by-step explanation:

Cot θ = 0.7615 for 0 ≤ θ ≤ 2π

Note that Cot θ = (1/tan θ)

(1/tan θ) = 0 7615

tan θ = (1/0.7615) = 1.3132

θ = tan⁻¹ (1.3132) = 52.71°

But, note that tan is also positive in the 3rd quadrant, hence,

θ is also equal to 180° + 52.71° = 232.71°

θ = 52.71° or 232.71°

We now convert to radians

360° = 2π

52.71° = (52.71 × 2π)/360 = 0.2928π = 0.92 radian

232.71° = (232.71 × 2π)/360 = 1.2928π = 4.06 radians

The midpoint formula of a quadratic equation is given by: x = -b/(2a), where a, b and c are the coefficients of the quadratic equation ax2 + bx + c = 0.

This formula is used to determine the midpoint of the roots of a quadratic equation. It works by taking the coefficients of the equation and plugging them into the formula. The result of the formula will be the x-coordinate of the midpoint of the two roots.

This formula is useful when solving quadratic equations, because it allows us to quickly find the midpoint of the two roots without having to solve for both roots first. It is also useful for graphing the quadratic equation, as it reveals the location of the vertex of the parabola. Knowing the midpoint of the two roots also makes it easier to determine the nature of the roots, whether they are real or imaginary.

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The value of the Arrow-Debreu security is calculated as the present value of its expected payoff, discounted at the risk-neutral rate. As a result, the premium of the Arrow-Debreu security can be computed using the following formula: \($P_{t}=\frac{1}{(1+R)^{n-t}}\times \pi$,\)

where π=0.4, R=1.05, n=6, and t=2 (expiry node).

By substituting the values, we obtain:

\($P_{2}=\frac{1}{(1+1.05)^{6-2}}\times 0.4 = \frac{0.4}{(1.05)^4} \approx 0.3058$.\)

Therefore, the premium of the Arrow-Debreu security is approximately $0.3058.

Arrow-Debreu securities are typically utilized in financial modeling to simplify the pricing of complex securities. They are named after Kenneth Arrow and Gerard Debreu, who invented them in the 1950s. An Arrow-Debreu security pays $1 if a particular state of the world is realized and $0 otherwise.

They are generally utilized to price derivatives on numerous assets that can be broken down into a set of Arrow-Debreu securities. The value of an Arrow-Debreu security is calculated as the present value of its expected payoff, discounted at the risk-neutral rate. In other words, the expected value of the security is computed using the risk-neutral probability, which is used to discount the value back to the present value.

The formula is expressed as:

\($P_{t}=\frac{1}{(1+R)^{n-t}}\times \pi$\),

where P_t is the price of the Arrow-Debreu security at time t, π is the risk-neutral probability of the security’s payoff, R is the risk-free rate, and n is the total number of time periods.However, Arrow-Debreu securities are not traded in real life. They are used to determine the prices of complex securities, such as options, futures, and swaps, which are constructed from a set of Arrow-Debreu securities.

This process is known as constructing a complete financial market, which allows for a more straightforward pricing of complex securities.

The premium of the Arrow-Debreu security is calculated by multiplying the risk-neutral probability of the security’s payoff by the present value of its expected payoff, discounted at the risk-neutral rate.

The formula is expressed as

\($P_{t}=\frac{1}{(1+R)^{n-t}}\times \pi$,\)

where P_t is the price of the Arrow-Debreu security at time t, π is the risk-neutral probability of the security’s payoff, R is the risk-free rate, and n is the total number of time periods. Arrow-Debreu securities are not traded in real life but are used to price complex securities, such as options, futures, and swaps, by constructing a complete financial market.

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The semiconductor manufacturer can demonstrate process capability for the customer, as the fraction of defective devices is less than 0.05 at the α = 0.05 significance level.

To answer your question, we will test the hypothesis with the given data. The hypothesis to be tested is:

H0: p = 0.05 (null hypothesis)
H1: p < 0.05 (alternative hypothesis)

Here, α = 0.05 (significance level), and the sample consists of 200 devices.

Step 1: Calculate the sample proportion of defective devices.
Sample proportion (p-hat) = (Number of defective devices) / (Sample size) = 4 / 200 = 0.02

Step 2: Calculate the test statistic (z-score).
z = (p-hat - p) / sqrt((p * (1 - p)) / n)
z = (0.02 - 0.05) / sqrt((0.05 * (1 - 0.05)) / 200) = -2.18

Step 3: Determine the critical z-score (z-critical) for the given α.
For α = 0.05 and a one-tailed test, the z-critical is -1.645.

Step 4: Compare the test statistic (z) with the critical z-score (z-critical).
Since z = -2.18 < z-critical = -1.645, we reject the null hypothesis (H0).

Conclusion: Based on the sample, the semiconductor manufacturer can demonstrate process capability for the customer, as the fraction of defective devices is less than 0.05 at the α = 0.05 significance level.

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All the values are,

a)  lim x → 3 [ 2 f (x) - g (x)] = 18

b)  lim x → 3 [ 2 g (x) ]² = 16

c)  lim x → 3 [ ∛ f (x) / g (x) ] +  lim x → 3 [ 4 h (x) / x + 7 ] = - 1

We have to given that;

Limits are,

lim x → 3 f (x) = 8

lim x → 3 g (x) = - 2

lim x → 3 h (x) = 0

Now, We can simplify all the limits as;

1) lim x → 3 [ 2 f (x) - g (x)]

⇒  lim x → 3 [ 2 f (x)] -  lim x → 3 [ g (x) ]

⇒ 2  lim x → 3 [  f (x) ] - (- 2)

⇒ 2 × 8 + 2

⇒ 16 + 2

⇒ 18

2)  lim x → 3 [ 2 g (x) ]²

⇒ 4 [ lim x → 3  g (x) ]²

⇒ 4 × (- 2)²

⇒ 4 × 4

⇒ 16

3)  lim x → 3 [ ∛ f (x) / g (x) ] +  lim x → 3 [ 4 h (x) / x + 7 ]

⇒ ∛8 / (- 2) + 4 × 0 / (3 + 7)

⇒ - 2/2 + 0

⇒ - 1

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The volume of the prism not occupied by the sphere is 704.69 cubic in.

Given that, the radius of the sphere=4 in. and the dimensions of a rectangular prism length=9 in. width=8 in. and height 10 in.

We need to find what is the volume of the prism not occupied by the sphere.

The formula to find the volume of the rectangular prism is Volume=Length×Width×Height.

The formula to find the volume of the sphere is Volume=4/3 πr³.

Now, the volume of the rectangular prism=9×8×10=720 cubic in.

The volume of the sphere=4/3×3.14×4³

V=15.31 cubic in.

Then, the volume of the prism not occupied by the sphere=The volume of the rectangular prism-The volume of the sphere

The volume of prism=720-15.31=704.69 cubic in.

Therefore, the volume of the prism not occupied by the sphere is 704.69 cubic in.

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Answer:

84 minutes to 276 minutes

Step-by-step explanation:

Chebyshev's theorem states that:

At least 3/4(75% ) of data falls within 2 standard deviation from the mean - that means between μ - 2σ and μ + 2σ

At least 8/9(88.89)% of data falls within 3 standard deviations from the mean - between μ – 3σ and μ + 3σ .

Where k > 1 , 1 - 1/k²

k is 2, it is 75% and when k is 3 it is 88.89%

Americans spend an average of 3 hours per day online. If the standard deviation is 32 minutes, find the range in which at least 88.89% of the data will lies

Step 1

Convert 3 hours to minutes

1 hour = 60 minutes

3 hours = x

Cross Multiply

= 3hours × 60 minutes/1 hour

= 180 minutes

We know from Chebyshev's theorem that:

At least 8/9(88.89)% of data falls within 3 standard deviations from the mean - between μ – 3σ and μ + 3σ .

Hence

μ = 180 minutes, σ =32 minutes

μ – 3σ

= 180 - 3(32)

= 180 - 96

= 84 minutes

μ + 3σ

= 180 + 3(32)

= 180 + 96

= 276 minutes

Therefore the range in which at least 88.89% of the data will lie is 84 minutes to 276 minutes

Answer:

(0) = 0.9(-6.333) - 5.7

Step-by-step explanation:

It is more likely for them to make at least $5,000 in profit if they sell a larger quantity of treats. This can be achieved by implementing effective marketing strategies, setting an appealing price, and targeting a wide audience.

Let's say the team decides to sell the candy bars and sodas for $1 each. In this case, they will make $1 in revenue for each candy bar and can of soda sold.

Now, let's calculate the costs. The team spent $1000 to start the fundraiser, which is a fixed cost that does not depend on the number of treats sold. In addition, they spend $0.30 on each candy bar and can of soda sold.

To break even, the revenue needs to equal the total cost. Let's denote the number of treats they need to sell to break even as "x". The revenue from selling x treats would be $1 multiplied by x. The total cost would be the sum of the fixed cost and the cost per treat multiplied by the number of treats sold.

Equation to break even: Revenue = Cost

1x = $1000 + $0.30x

To solve for x, we can subtract $0.30x from both sides and then divide both sides by 0.70:

0.70x = $1000

x = $1000 / 0.70

x ≈ 1428.57

So, they need to sell approximately 1429 treats to break even.

To make at least $5,000 in profit, we need to calculate the revenue required to cover the costs and generate the desired profit. Let's denote the number of treats they need to sell to make this profit as "y".

Equation to make at least $5,000 in profit: Revenue = Cost + Profit

1y = $1000 + $0.30y + $5000

Simplifying the equation:

0.70y = $6000

y = $6000 / 0.70

y ≈ 8571.43

So, they need to sell approximately 8572 treats to make at least $5,000 in profit.

Whether it is likely for them to make at least $5,000 in profit depends on various factors, such as the demand for treats, the number of people attending the games, and the team's marketing efforts. If they can attract a large number of customers and successfully sell the treats, it is possible for them to make at least $5,000 in profit.

In general, it is more likely for them to make at least $5,000 in profit if they sell a larger quantity of treats. This can be achieved by implementing effective marketing strategies, setting an appealing price, and targeting a wide audience.

Additionally, if they can minimize their costs (such as by negotiating better deals for purchasing treats), they would have a better chance of reaching their profit goal.

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Answer: √177

Step-by-step explanation:

6²+9²=c²

36+81=c²

117=c²

√117=√c²

√177 = c

(√177 can also be watered down to ±3√13 but √177 is one of the answer choices so yeah)