Lowest temps, Ontario, CA, April 2020 Date Low temperature 4/4/20 −1.8 °C 4/12/20 0.6 °C 4/18/20 −2.8 °C 4/23/20 (missing) 4/28/20 −0.2 °C The table shows the lowest temperatures recorded on five days in April 2020, but the value for 4/23/20 has been lost. If X is the lost value, and if we know that X was the middle value of the five days, which choice could be the value of X? A) −1.9 °C B) −0.9 °C C) −0.1 °C D) 0.4 °C

Answer:

I think its this:

thirty - seven and six hundred ninety - one hundred thousanths.

Step-by-step explanation:

Hope this is right!

To complete the explanation, the table needs the following explanations and equations, respectively: (-2 + 2)*3 = 0 Put the distributive property to use. Take 6 away from both sides. -2*3 = -6

An equal sign is located between the two algebraic expressions to form an equation, which is a mathematical statement. It indicates that the left and right sides of the equation are equal. Mathematical operators, variables, symbols, and integers all appear in algebraic expressions.

The initial stage in this technique is to insert any real number its opposite, which is zero. These results;

(-2 + 2)*3 = 0

The following step is to get using distributive property;

-2*3 + 2*3 = 0

That this next is to remove 6 away from both corners to get at;

-2*3 = 0 - 6

Lastly, we distill to obtain;

-2*3 = -6

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In summary: Sequence 1 has no term out of increasing order. Sequence 2 has the first term out of increasing order at position 2. Sequence 3 has the first term out of increasing order at position 7. Sequence 4 has the first term out of increasing order at position 4. Sequence 5 has the first term out of increasing order at position 3.

1 5 78 99 101 202 400: This sequence is in increasing order throughout, so there is no term that breaks the increasing pattern.

5 2 7 90 85 80 72: The sequence starts with 5, then decreases to 2 (out of increasing order) at position 2.

5 6 9 10 14 21 20: The sequence is increasing until position 6, where it reaches 21. However, the next term, 20, is lower than the previous term, 21 (out of increasing order) at position 7.

3 7 10 9 8 14 17: The sequence starts with 3 and increases until position 3 (10). However, at position 4, the next term, 9, is lower than the previous term, 10 (out of increasing order).

5 77 25 45 22 94 58 99: The sequence is increasing until position 2, where it reaches 77. However, at position 3, the next term, 25, is lower than the previous term, 77 (out of increasing order).

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Answer:

(2,3)

Step-by-step explanation:

-3x-2y=-12

y=5x-7

according to the second equation y is equal to 5x-7 so we enter that into the first equation for y

-3x-2(5x-7)= -12

-3x-10x+14= -12

-13x+14= -12

      -14.  -14

-13x= -26

/-13.  /-13

x= 2

now we know x is 2 we fill in x in any of these equations to find y but i will use the second equation

y=5(2)-7

y=10-7

y=3

now we write it as an ordered pair (x,y)

(2,3)

hopes this helps please mark brainliest

Answer:

10 outcomes

Step-by-step explanation:

if 2 coins were selected with replacement=10×10=100

number of outcomes if 2 coins were selected without replacement=10×9=90

Finally, 100-90= 10 outcomes!

Answer:

-48

Step-by-step explanation:

The full sequence until the tenth term is...

-3, -8, -13, -18, -23, -28, -33, -38, -43, -48,

Answer:

-48

Step-by-step explanation: You don't really care about the explanation. You already got the answer. What are you still doing here, reading this?

68 kilograms (kg) is equal to approximately 149.91 pounds (lb).

Kilograms and pounds are both units of measurement used to express weight or mass. The kilogram is the base unit of mass in the International System of Units (SI), while the pound is part of the imperial system of units commonly used in the United States.

To convert kilograms to pounds, we can use the conversion factor of 2.20462 pounds per kilogram. This means that for every kilogram, there are 2.20462 pounds.

Therefore, to convert 68 kilograms to pounds, we multiply 68 by 2.20462:

68 kg * 2.20462 lb/kg = 149.91 lb

So, 68 kilograms is equivalent to 149.91 pounds.

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Answer:

7.2

Step-by-step explanation:

Since the angle is equal, 24/(x+8.7)=13.1/8.7. x=7.2

Answer:

x ≈ 7.2

Step-by-step explanation:

Δ MNO and Δ MKL are similar, so the corresponding sides are in proportion, that is

\(\frac{MN}{MK}\) = \(\frac{MO}{ML}\) , substitute values

\(\frac{13.1}{13.1+10.9}\) = \(\frac{8.7}{8.7 +x}\)

\(\frac{13.1}{24}\) = \(\frac{8.7}{8.7+x}\) ( cross- multiply )

13.1(8.7 + x) = 208.8 ← distribute left side

113.97 + 13.1x = 208.8 ( subtract 113.97 from both sides )

13.1x = 94.83 ( divide both sides by 13.1 )

x = \(\frac{94.83}{13.1}\) ≈ 7.2 ( to the nearest tenth )

Answer:

c. m∠2 = m∠5

Step-by-step explanation:

We can check 1 by 1 and find the false one.

For answer A, measures 2 and 4 are vertical angles, which means they are equal, so that's not false.

For answer b, measures 4 and 8 are corresponding angles, since X and Y are parallel, so that's also not false.

For answer c, measures 2 and 5 are supplementary to each other, and since the transversal is not perpendicular to X nor Y, they are not equal, therefore, this is false, making that the answer.

For answer d, measure 2 and 6 are corresponding angles, so that's also not false.

Therefore, the answer must be c.

Step-by-step explanation:

(n+6)^2-(n+2)^2=(n+6-n-2)*(n+6+n+2)=4*2*(n+4)=8*(n+4) so it is always a multiple of 8

Answer:

The correct options are;

Heather likely did not make an error writing the equation of the line in her notebook because 0.77 and 1.34 are the slope y-intercept of the equation she recorded

Step-by-step explanation:

Based on the coordinates on the plot, Heather did not make a mistake in writing the line of best fit as the graph plotted with the points in the question  figure as follows;

x,            y

10.6,       9.4

8.2,         8.2

6.4,         7.3

6.6,         5.8

4.4,         5.4

4,            3.4

2.5,         4.4

2.2,         3

0.85,       1.5

Has an equation of he form, y = 0.7885·x + 1.3694.

The probability of getting a value of x between 0.1 and 0.5 when x has a uniform distribution over the interval 0 to 1 is 0.4.

The probability of getting a value of x between 0.1 and 0.5 can be calculated by finding the area of the rectangle with height 1 and width 0.4. This is because the probability density function for a uniform distribution over the interval 0 to 1 is f(x) = 1 for 0 ≤ x ≤ 1.Therefore, the probability of getting a value of x between 0.1 and 0.5 is:P(0.1 ≤ x ≤ 0.5) = (0.5 - 0.1) * 1 = 0.4

Thus, the probability of getting a value of x between 0.1 and 0.5 when x has a uniform distribution over the interval 0 to 1 is 0.4.

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if the number of times you take the test were independent variable of the chance you fail what could that mean the difficulty of the test is consistent and unchanging.

The difficulty of the test is consistent and unchanging, making it so that the chance of failing is solely determined by the individual's performance on the test. Factors such as knowledge of the subject and the ability to focus can play a role in a person's success, but the actual chance of failing is not affected by how many times the test is taken. This means that those who fail the test will have to work harder and prepare better in order to pass it on the next attempt. Taking the test multiple times does not guarantee a higher chance of success, as the difficulty remains the same each time due to independent variable.

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Answer:

D. 483.84 ft^2.

Step-by-step explanation:

we have 2 triangles and 7 rectangles, 5 of which are 8.4*8.4 squares.

Area = 2 * 1/2 * 4 * 8.4 + 2*5.8*8.4 + 5 * 8.4^2

= 33.6 + 97.44 + 352.8

= 483.84 ft^2.

Total Cost = No of Units x Unit cost of refrigerators

Total Cost = 42 x $ 501 = $ 21, 042

Rounding off to the nearest tens,

We have to round down 42 (in $ 21, 042) to 40

Therefore, the total cost will be $ 21, 040

Answer: $21,040

diamater:

\(d=2r \\\\d=2 \cdot 16 \\\\d=32\)

circumference:

\(C=2 \pi r \\\\C=2 \cdot \p \cdot 16 \\\\C=32 \cdot \pi \\\\C \approx 100.48\)

Hope that I helped you!

For the given function, all values c in [a, b] guaranteed by the Mean Value Theorem Note is lies on the expression of 15x⁴ - 240x² - 256

To determine whether the Mean Value Theorem can be applied to f on [0, 4], we need to check whether f satisfies two conditions: 1) f must be continuous on [0, 4], and 2) f must be differentiable on (0, 4). The first condition ensures that the function has no jumps or breaks within the interval, while the second condition ensures that the function has a well-defined slope at each point in the interval.

Next, we need to check if f is differentiable on (0, 4). To do this, we need to take the derivative of f(x) and check whether it exists and is continuous on (0, 4).

f(x) = (x² – 1) / (x² -4) f'(x) = [(x² -4)(2x) - (x² -1)(2x)] / (x² -4)² f'(x) = -4x / (x² - 4)²

We can see that the derivative of f(x) exists and is continuous on (0, 4) except for x = ±2, where it has a vertical tangent. However, these points do not affect the differentiability of the function on (0, 4).

To find the values of c, we can use the formula for the Mean Value Theorem:

f'(c) = [f(4) - f(0)] / (4 - 0)

We already found the derivative of f(x) to be f'(x) = -4x / (x² - 4)². Using this and plugging in the endpoints of the interval [0, 4], we get:

f'(c) = [-15/16] / 4 f'(c) = -15/64

To solve for c, we need to find the value(s) of x that satisfy the equation f'(x) = -15/64. We can simplify this equation to get:

-4x / (x² - 4)² = -15/64 64x = 15(x² - 4)² 0 = 15x⁴ - 240x² - 256

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Answer:

1.2mph

5x10=50

so it 1

if 2x5=10=.2

then 2x5=10+50=1.2 due to the .1=5

or just do 60/50=1.2

Step-by-step explanation:

Answer:

5.0090, 5.05, 5.054, 5.5

The probability that the total yearly claim exceeds $400,000 is approximately 0.0606 or 6.06%. The distribution of total yearly claims of all policyholders is normal with a mean of $375,000 and a standard deviation of $16,172.

Given that,Number of policyholders (n) = 1,500

Expected yearly claim per policyholder (μ) = $250

Standard deviation (σ) = $500To find the probability that the total yearly claim exceeds $400,000, we need to find the distribution of total yearly claims of all policyholders.

This is a normal distribution with a mean of 1,500 * $250 = $375,000 and

a standard deviation of 500√1,500 = $16,172.

Therefore,

Z = (X - μ) / σZ

= ($400,000 - $375,000) / $16,172

= 1.55

Using the standard normal distribution table, we can find that the probability of Z > 1.55 is 0.0606. Therefore, the probability that the total yearly claim exceeds $400,000 is approximately 0.0606 or 6.06%.

:The probability that the total yearly claim exceeds $400,000 is approximately 0.0606 or 6.06%. The distribution of total yearly claims of all policyholders is normal with a mean of $375,000 and a standard deviation of $16,172.

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Answer:

y = -1/2x - 7

Step-by-step explanation:

x + 2y = 8

2y = -x + 8

y = -1/2x + 4

y = -1/2x + b

-6 = -1/2(-2) + b

-6 = 1 + b

-7 = b

Answer:  B.   5/13

This is the same as writing \(\frac{5}{13}\)

==========================================================

Reason:

We have two given sides of this right triangle. Use the pythagorean theorem to find the missing side.

a = 5 and b = 12 are the two known legs; c is the unknown hypotenuse

\(a^2+b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{5^2+12^2}\\\\c = \sqrt{25+144}\\\\c = \sqrt{169}\\\\c = 13\\\\\)

The hypotenuse is exactly 13 units long. This is a 5-12-13 right triangle.

Now we can compute sine of theta

\(\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\theta) = \frac{5}{13}\\\\\)

This points us to choice B as the final answer.

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Extra Info (optional)

The shape with 7 sides is called a heptagon.

There a several shapes which has more number of sides than the usual shapes like square, circle or triangle.

As the number of the sides in the shape increases the propertied of the shape also changes. If the shape has 7 sides it is called a heptagon and if it has 6 sides than it is called a hexagon, it it has a 5 sides it is called a pentagon.

If all the 7 sides of the pentagon are equal in magnitude then the heptagon is said to be a regular heptagon but is not equal then they are called heptagon with different features.

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By applying the Kuhn-Tucker theorem, the maximum value of xy is: 18/25

The constraints are:-4x² - 2xy - 4y²x + 2y ≤ 22x - y ≤ -1

Let us solve this problem by applying the Kuhn-Tucker theorem.

Let us first write down the Lagrangian function:

L = xy + λ₁(-4x² - 2xy - 4y²x + 2y - 2) + λ₂(2x - y + 1)

Then, we find the first order conditions for a maximum:

Lx = y - 8λ₁x - 2λ₁y + 2λ₂ = 0

Ly = x - 8λ₁y - 2λ₁x = 0

Lλ₁ = -4x² - 2xy - 4y²x + 2y - 2 = 0

Lλ₂ = 2x - y + 1 = 0

The complementary slackness conditions are:

λ₁(-4x² - 2xy - 4y²x + 2y - 2) = 0

λ₂(2x - y + 1) = 0

Now, we solve for the above equations one by one:

From equation (3), we can write 2x - y + 1 = 0, which implies:y = 2x + 1

Substitute this in equation (1), we get:

8λ₁x + 2λ₁(2x + 1) - 2λ₂ - x = 0

Simplifying, we get:

10λ₁x + 2λ₁ - 2λ₂ = 0 ... (4)

From equation (2), we can write x = 8λ₁y + 2λ₁x

Substitute this in equation (1), we get:

8λ₁(8λ₁y + 2λ₁x)y + 2λ₁y - 2λ₂ - 8λ₁y - 2λ₁x = 0

Simplifying, we get:

-64λ₁²y² + (16λ₁² - 10λ₁)y - 2λ₂ = 0 ... (5)

Solving equations (4) and (5) for λ₁ and λ₂, we get:

λ₁ = 1/20 and λ₂ = 9/100

Then, substituting these values in the first order conditions, we get:

x = 2/5 and y = 9/5

Therefore, the maximum value of xy is:

2/5 x 9/5 = 18/25

Hence, the required answer is 18/25.

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a) The probability that no defective component will be chosen when selecting 5 components at random is approximately 0.7738, or 77.38%.

b) The probability that exactly 2 out of the 5 components will be defective is approximately 0.0874, or 8.74%.

a) To calculate the probability that no defective component will be chosen when selecting 5 components at random, we need to determine the probability of selecting a non-defective component for each selection.

Since 5% of the components are faulty, the probability of selecting a non-defective component in each selection is 1 - 0.05 = 0.95.

The probability of selecting no defective components can be calculated using the multiplication rule for independent events. We multiply the probabilities of each selection being non-defective:

Probability of selecting no defective components = (0.95)⁵

Probability of selecting no defective components = 0.7738

b) To calculate the probability that exactly 2 out of the 5 components will be defective, we need to consider the different combinations of selecting 2 defective components out of 5.

The probability of selecting exactly 2 defective components can be calculated using the binomial probability formula:

Probability = (Number of ways to choose 2 defective components) * (Probability of selecting a defective component)^(Number of defective components) * (Probability of selecting a non-defective component)^(Number of non-defective components)

Probability = (5 choose 2) * (0.05)² * (0.95)³

Probability = (5! / (2! * (5-2)!)) * (0.05)² * (0.95)³

Probability = 0.0874

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Answer:

x=-2, y=-4

Step-by-step explanation:

Substitute x=y+2

Simplify [ 7y +10 = -18 ]

Substitute y = -4

Simplify x = -2

Domain of the function is \(0\leq b\leq 10\) and range of the function is \(0\leq W\leq 120\).

The range of values that we are permitted to enter into our function is known as the domain of a function.

A function's range is the collection of values it can take as input.

Each birdhouse uses 12 square feet of wood. Owen has enough to build 10 birdhouses, so he has 120 square feet of wood.

The function has an input of the number of birdhouses, b, and W as an output of the amount of wood needed. b is domain, and W is the range. The domain is 0 to 10 and range is 0 to 120.

Therefore, the domain of the function is  \(0\leq b\leq 10\) and the range of the function is \(0\leq W\leq 120\).

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Answer:

A is correct Answer. with the point of the compass on A.dreaw an arc that intersects both sides of the angle at B and C.

Answer:

Yes

Step-by-step explanation:

Answer:

(assuming the question is (Choose Yes or No to tell if a rectangle with the given dimensions has an area of 3/10 square inch. 3/4in. × 2/5 in. 2/5 in. × 5/6 in. 1/10 in. × 1/5 in. /in. × 3/5 in.)

Step-by-step explanation:

yes,no,no,yes
but please do the math yourself for grater effect