evaluate. – 3 (–5) (2)​

Answer:

3 is the correct answer

Step-by-step explanation:

I just did it on a calculator and got ir correct

Answer:

yab

Step-by-step explanation:

a) The high temperature for today using a 3-day moving average = 92.7 degrees.

b) The high temperature for today using a 2-day moving average = 91.5 degrees.

c) The mean absolute deviation based on a 2-day moving average = 1.5 degrees.

d) The mean squared error for the 2-day moving average = 2.25 degrees².

e) The mean absolute percent error (MAPE) for the 2-day moving average = 2.9%.

To calculate the high temperature for today using a 3-day moving average, we sum the high temperatures of the last three days (90, 93, and 95), and then divide the sum by 3. This gives us an average of 92.7 degrees, rounded to one decimal place.

For a 2-day moving average, we sum the high temperatures of the last two days (90 and 93), and divide the sum by 2. This gives us an average of 91.5 degrees, rounded to one decimal place.

To calculate the mean absolute deviation based on a 2-day moving average, we first find the absolute difference between each high temperature and the 2-day moving average (91.5 degrees). The differences are 1.5, 1.5, 1.5, 2.5, 3.5, and 1.5. Then, we calculate the average of these differences, which is 1.5 degrees, rounded to one decimal place.

The mean squared error for the 2-day moving average is calculated by squaring the differences between each high temperature and the 2-day moving average (91.5 degrees), and then finding the average of these squared differences. In this case, the squared differences are 2.25, 2.25, 2.25, 6.25, 12.25, and 2.25. The average of these squared differences is 4.83 degrees^2, rounded to one decimal place.

The mean absolute percent error (MAPE) for the 2-day moving average is calculated by finding the absolute difference between each high temperature and the 2-day moving average (91.5 degrees), dividing this difference by the high temperature, and then finding the average of these percentages. The percentages are 1.6%, 1.6%, 1.6%, 2.6%, 3.7%, and 1.6%. The average of these percentages is 2.9%, rounded to one decimal place.

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a. The critical value(s) is/are z = -1.645, 1.64

b. Fail to reject H0.

There is not sufficient evidence to warrant rejection of the claim that p = 1/2. The test statistic of z = -1.91 is obtained when testing the claim that p = 1/2.

We want to know whether to reject H0 or fail to reject H0 using a significance level of α = 0.10.

Using the standard normal distribution table, the critical value(s) are z = ± 1.645 (rounded to two decimal places).

Since -1.91 is less than -1.645, we fail to reject H0.

In other words, there is not sufficient evidence to warrant rejection of the claim that p = 1/2.

Therefore, the correct conclusion is "Fail to reject H0.

There is not sufficient evidence to warrant rejection of the claim that p = 1/2."

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Answer:

109.9

Step-by-step explanation:

Hope this helps!

Answer:

109.9

Step-by-step explanation:

Formula: (Pi) 3.14x35 = 109.9

Answer:

(4+7i)-2i(2+3i) = 10+3i

Step-by-step explanation:

We need to find the expression that is equivalent to the complex number 10+3i.

Option 1. 2i(4-5i)+(1-7i)

=8i-10i²+1-7i

∵ i² = -1

=8i-10(-1)+1-7i

=8i+10+1-7i

=11+i (incorrect)

Option 2. (4+7i)-2i(2+3i)

=4+7i-4i-6i²

=4+7i-4i-6(-1)

=4+7i-4i+6

=10+3i (Correct)

Option 3. (-3+5i)-3i(4+5i)

= (-3+5i)-12i-15i²

= -3+5i-12i-15(-1)

= -3+5i-12i+15

=12-7i (incorrect)

Option 4. 3i(4+7i)+(11+2i)

= 12i+21i²+11+2i

=12i+21(-1)+11+2i

= 12i-21+11+2i

=14i-10 (incorrect)

Hence, the correct option is (B).

Answer:

the answer is for me A they might be lettered different for each

Step-by-step explanation:

A histogram is used for a continuous variable, while a bar graph is used for a categorical variable.

We have,

A histogram and a bar graph are both types of visual representations of data, but they have some key differences.

- A histogram is a graph that shows the distribution of a continuous variable.

The horizontal axis of a histogram represents the range of values for the variable, which is divided into intervals or bins.

The vertical axis represents the frequency or count of observations that fall into each bin.

The bars in a histogram touch each other to indicate that the variable is continuous and there are no gaps between the bins.

- A bar graph, on the other hand, is a graph that shows the frequency or count of different categories of a categorical variable.

The horizontal axis of a bar graph represents the categories of the variable, while the vertical axis represents the frequency or count of observations in each category.

The bars in a bar graph are separated by gaps to indicate that the variable is categorical and the categories are distinct.

Thus,

A histogram is used for a continuous variable, while a bar graph is used for a categorical variable.

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Let's calculate the interest he will accumulate in 1 year:

1.5% of 1600

Note: 1.5% = 1.5/100 = 0.015

So,

0.015 * 1600 = $24 (in 1 yr)

Thus, in 17 years, he will get:

17 * 24 = $408 [total simple interest in 17 years]

Now,

So, total amount he will accumulate after 17 years is the initial amount PLUS interest. That would be:

1600 + 408 =

Answer:

would find the missing angle. Explain each step. (replace with 120 & x)

Name the relationship between the angles below. What is the sum of the angles? Explain how you would find the missing angle. Explain each step. (replace with 120 & x)

Step-by-step explanation:

Name the relationship between the angles below. What is the sum of the angles? Explain how you would find the missing angle. Explain each step. (replace with 120 & x)

The boat can carry 9 150-pound adults

According to the law of exponent for abelian groups (ab)^n = a^n b^2 is not necessarily true for non-abelian groups.

Using the distributive law repeatedly, we have:(ab)^n = (ab)(ab)...(ab) (n times)

= a(ab)(ab)...(ab) (n-1 times) b

= a(a(ab)(ab)...(ab) (n-2 times) b)b

= a^2 (ab)(ab)...(ab) (n-2 times) b^2

= ...

= a^n b^n

Therefore, (ab)^n = a^n b^n for any abelian group and any integer n.

However, this is not necessarily true for non-abelian groups. For example, consider the dihedral group D4 which is the symmetry group of a square. Let a be a 90 degree clockwise rotation and b be a horizontal reflection. Then (ab)^2 = a(ba)b = ae = e, where e is the identity element. However, a^2 = b^2 = e, so (ab)^2 = e^2 = e, which is not equal to a^2b^2 = e. Hence, the law of exponents does not hold for D4

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Each can initially contains 5 tennis balls.

To find the number of tennis balls in each can, we can use the information given:

Initial number of cans of tennis balls = 7

Number of tennis balls sold = 14

Number of tennis balls left = 21

Let's assume that each can initially contains 'x' tennis balls.

Initially, the total number of tennis balls in the store is 7 cans * x balls/can = 7x.

After selling 14 tennis balls, the number of tennis balls left is 7x - 14.

We are given that the number of tennis balls left is 21, so we can set up the equation:

7x - 14 = 21

Simplifying the equation:

7x = 21 + 14

7x = 35

Dividing both sides of the equation by 7:

x = 35/7

x = 5

Therefore, each can initially contains 5 tennis balls.

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Answer:

Question A)

\(=\sqrt{6}x\)

Question B)

\(=3a\sqrt{a}\)

Question C)

\(=5\sqrt{2}b^2\)

Step-by-step explanation:

A)

We are given:

\(\sqrt{6x^2}\, \text{ where } x\geq 0\)

We can rewrite the expression:

\(=\sqrt{6}\cdot \sqrt{x^2}\)

The square root and square will cancel each other out. Thus:

\(=\sqrt{6}x\)

B)

We are given:

\(\sqrt{9a^3}\)

Rewrite:

\(=\sqrt{9}\cdot \sqrt{a^3}\)

Note that the square root of 9 is simply 3. We can also factor the second part:

\(=3\cdot \sqrt{a^2\cdot a}\)

Rewriting:

\(=3\cdot\sqrt{a^2}\cdot\sqrt{a}\)

Simplify:

\(=3a\sqrt{a}\)

C)

We are given:

\(\sqrt{50b^4}\)

Rewrite. Note that 50 = 25(2):

\(=\sqrt{25}\cdot \sqrt{2}\cdot \sqrt{b^4}\)

Simplify. We can rewrite the factor as:

\(=5\cdot \sqrt{2}\cdot \sqrt{(b^2)^2}\)

The square and square root will cancel out. Thus:

\(=5\sqrt{2}b^2\)

Answer:

Parenthesis

Exponents

Multiplication and Division

Addition and Subtraction

Hope this helps!

Let:

(x1,y1) = (0,4)

(x2,y2) = (4,0)

The slope m is:

Using the point slope equation:

Answer:

 58

Step-by-step explanation:

\(\frac{(10x-12) + (3x+11)}{2}\) = 45

13x - 1 = 90

13x = 91

x = 7

ML = 10(7) -12 = 58

No, failing to reject the null hypothesis does not mean that we have proved it to be true beyond all doubt.

The null hypothesis is simply a statement that we assume to be true until we have sufficient evidence to reject it. Failing to reject the null hypothesis means that we do not have enough evidence to reject it, but it does not necessarily mean that the null hypothesis is true. There could be other factors or sources of variation that we have not accounted for in our analysis, which could affect our conclusion.

a. The null hypothesis is that the mean IQ for college students is 90, and the alternative hypothesis is that the mean IQ is less than 90.

b. The test statistic is:

\(t = ( \bar x -\mu) / (\sigma / \sqrt{n} )\)

where \(\bar x\) is the sample mean, \(\mu\) is the hypothesized population mean, σ is the population standard deviation, and n is the sample size. Plugging in the given values, we get:

t = (84 - 90) / (18 / √61) = -2.48

c. The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true. Since the alternative hypothesis is one-tailed (less than), we look for the area to the left of the observed t-value in the t-distribution with 60 degrees of freedom. Using a t-table or a calculator, we find the p-value to be 0.0082.

d. At the 0.05 level of significance, the p-value (0.0082) is less than the level of significance, so we reject the null hypothesis. This means that we have sufficient evidence to conclude that the mean IQ for college students is less than 90.

e. Based on the sample of 61 college students, we have sufficient evidence to conclude that the mean IQ for college students is less than 90. This suggests that the professor's initial claim of a mean IQ of 90 for college students may not be accurate.

The complete question is:

If we fail to reject the null hypothesis, does this mean that we have proved it to be true beyond all doubt? Explain your answer.

A professor claims that the mean IQ for college students is 90. He collects a random sample of 61 college students to test this claim and the mean IQ from the sample is 84.

a. What are the null and alternative hypotheses to test the initial claim?

b. Compute the test statistic. Assume the population standard deviation of IQ scores for college students is 18 points.

c. Find the p-value to test the claim at the 0.05 level of significance. Show/explain how you found these values.

d. Find a conclusion for the test (i.e., reject or fail to reject the null hypothesis). State your reasoning (i.e., why?).

e. Interpret your conclusion from part (d) by putting your results in context of the initial claim.

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Answer:

y = 1/4x

Step-by-step explanation:

First find the slope

m = (y2-y1)/(x2-x1)

    = (2-1)/(8-4)

    = 1/4

The slope intercept form of a line is

y = mx+b

where m is the slope and b is the y intercept

y = 1/4x +b

Substitute a point into the equation

1 = 1/4(4) +b

1 = 1+b

b= 0

y = 1/4x

Step-by-step explanation:

= 2x + 3 ( - 6x - 8 ) + 4y - 3 ( 8y + 2 )

= 2x - 18x - 24 + 4y - 24 y - 6

= 2x - 18x + 4y - 24y - 24 - 6

= - 16x - 20y - 30..

\(..\)

To calculate the Frobenius inner product (A,B) and the corresponding induced norms ||A||, ||B||, we will follow these steps:


Step 1: Calculate the Frobenius inner product (A,B)

The Frobenius inner product is defined as the sum of the products of the corresponding entries of two matrices. In this case, we have:

(A,B) = (-2*1) + (3*2) + (3*-1) + (-3*2) = -2 + 6 - 3 - 6 = -5

Step 2: Calculate the induced norms ||A|| and ||B||

The induced norm is the square root of the sum of the squares of the elements in the matrix. For matrix A:

||A|| = sqrt((-2)^2 + (3)^2 + (3)^2 + (-3)^2) = sqrt(4 + 9 + 9 + 9) = sqrt(31)

For matrix B:

||B|| = sqrt((1)^2 + (2)^2 + (-1)^2 + (2)^2) = sqrt(1 + 4 + 1 + 4) = sqrt(10)

Now we have all the values:

(A,B) = -5
||A|| = sqrt(31)
||B|| = sqrt(10)

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Answer:

114

Step-by-step explanation:

57 cakes • 2 cups of sugar =114

There is a probability of 66.5 % chance of it landing on a 5 at least once in 6 dice.

Because there are six faces on a die, you have an even chance of the dice landing on one of these faces each time you roll:

This means that each time that you roll, there is a 5/6 chance that you will not roll a 5.

The probability of not rolling a 6 twice is 5/6 or 69.4%.

Roll the die six times, and the probability of not rolling a 5 is

(5/6) * (5/6) * (5/6) * (5/6) * (5/6) * (5/6) * (5/6)

= (5/6)⁶

= 33.5%

Therefore, the probability of rolling a 5 at least once in 6 dice

= 100%  - 33.5%

= 66.5%

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This is a math problem that can be solved by setting up an equation. According to the first search result¹, the answer is **64 jellyfish** in total. Here is the explanation:

Let's call the number of jellyfish Spongebob has **3x** and the number of jellyfish Patrick has **5x**. We know that Spongebob receives 16 less jellyfish than Patrick, so we can set up the equation **5x - 16 = 3x**. Solving for x, we get **x = 8**.

Now that we know x, we can find the total number of jellyfish by adding up Spongebob's and Patrick's jellyfish. Spongebob has **3x = 3 (8) = 24 jellyfish**. Patrick has **5x = 5 (8) = 40 jellyfish**. The total number of jellyfish is **24 + 40 = 64**.

So there are **64 jellyfish** in total.

Answer:

30ml

Step-by-step explanation:

200ml * 15%

200ml * 0.15

= 30

There are 30 ml in the 1st hand sanitizer

Answer:

30 m l

Step-by-step explanation:

15%=0.15

200 divided by 0.15 is 30.

So therefore,

the answer is 30 ml.

The length of the chord located 0.7 cm from the centre of a circular ring with a 2.5 cm radius is approximately 3.5 cm.

To calculate the length of the chord, we can use the following formula:

Chord Length = 2 x √(r^2 - d^2)

Where r is the radius of the circular ring and d is the distance between the chord and the centre of the circle.

In this case, r = 2.5 cm and d = 0.7 cm. Plugging these values into the formula, we get:

Chord Length = 2 x √(2.5^2 - 0.7^2) ≈ 3.5 cm (rounded to the nearest tenth)

Therefore, the length of the chord is approximately 3.5 cm. This hidden watermark technique is a simple but effective security measure that can help prevent counterfeiting or tampering with important documents. By incorporating a unique and difficult-to-replicate watermark, the jewellery company can protect its brand identity and ensure the authenticity of its official documents.

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Answer:

1,450.36 is your answer

The required value of y for the equation x ± y = 34 is ± 31.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

x ± y = 34    (1)

And the value of x is 3.

To find the value of y,

Substitute x = 3 in equation (1),

3 ±  y = 34

± y = 34 - 3

±  y = 31

or y = ± 31

The value of y can be +31 or -31.

Hence, for the equation x ± y = 34, the value of y is ± 31.

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The price of the car is $130,000, Simple interest for 4 years is $26000, Simple interest for 2 years is 2 years, The interest saved by paying the loan off sooner is $13000.

Simple interest is a method of calculating interest that does not take into consideration numerous periods of interest charges or payments. Accrued interest is unaffected by the interest rate; it simply applies to the loan or investment's principle.

Let us suppose the price of the dream car is $130,000.

The simple interest is given by the formula:

SI = PRT

where, P is the principal amount = $130,000.

R is the rate = 5% = 0.05

T is the time.

The price of the vehicle is $130,000.

Given that, T = 4 years.

Substitute the value in formula of SI.

SI = 130000 (0.05) (4)

SI = 26000

Given that T = 2 years.

Substitute the value:

SI = 130000 (0.05)(2)

SI = 13000

The interest saved by paying the loan off sooner is:

I = 26000 - 13000

I = 13000

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Answer:

x = 0

Step-by-step explanation:

linear equation y = mx + b, where m is the slope and b is the y intercept when x is 0.

m = change in y/change in x = -8-7/0 = undefine

so line is vertical at x = 0