This table shows temperatures in an Arctic city during
one winter week.
Complete the table.
Day
Temperature at
Midnight (°F)
Temperature
Change From
Midnight to
Noon (°F)
Temperature at
Noon (°F)
Monday
-32
20
-12
Tuesday
-17.5
-11
Wednesday
15.5
10.5
Thursday
-12.2
- 24
Friday
-21.8
17.3

The expression can be used to represent this situation is 12°C - 12°C. option A

This is the degree of hotness or coldness of a particular place or person at a period of time.

Expression to represent the situation;

Original temperature = Temperature at 12:00 midni-ght + (Temperature at 6:00am)

= 12°C + (-12°C)

= 12°C - 12°C

Therefore, the expression can be used to represent this situation is 12°C - 12°C.

Complete question:

From 12:00 midni-ght to 6:00am, the

temperature decreased by 12°C. If the original temperature was 12°C, which expression can be used to represent this situation?

A. 12-12

B. 12 + 12

C. 12- (-12)

D. -12 + (-12)

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Answer:

Initial amount: 934 g

After 80 years: 147 g

Step-by-step explanation:

\( A(t) = 934 (\dfrac{1}{2})^\frac{t}{30} \)

The initial amount occurs at t = 0.

\( A(0) = 934 (\dfrac{1}{2})^\frac{0}{30} \)

\( A(0) = 934 (\dfrac{1}{2})^0 \)

\( A(0) = 934 \times 1 \)

\( A(0) = 934 \)

After 80 years, t = 80.

\( A(80) = 934 (\dfrac{1}{2})^\frac{80}{30} \)

\( A(80) = 934 (\dfrac{1}{2})^\frac{8}{3} \)

\( A(80) = 934 (0.15749) \)

\( A(80) = 147 \)

Let the particular student be named A.

There are total 45 students, so the number of students other than A will be 44.

The experiment is to select a student.

Favourable event: The particular student is selected, that is, A gets selected.

There is only 1 way to select A from the total students.

The probability of any event is given by,

So the probability that the particular student (A) is selected is given by,

Thus, the required probability is 2.22% approximately.

Therefore, the 4th option is the correct choice.

Answer: the answer to be smart is to learn

Step-by-step explanation:

if you learn then you can understand the u are not smart

Answer:

41

Step-by-step explanation:

5(4) - 7(-3)

20 + 21 (because it's a negative times a negative and that equals a positive)

41

Answer:

Step-by-step explanation:

5(4)-7(-3)= 20+21=41

The order for the extra materials that are ordered by the man will be between 17.31 ft² and 23.08 ft².

From the information, the man is ordering new tile for her kitchen floor the area of the floor is 115.4 ft.² and wants to order between 15% and 20% extra of the material.

It should be noted that 15% of the material will be:

= 15% × 115.4

= 17.31 ft²

It should be noted that 20% of the material will be:

= 20% × 115.4

= 23.08 ft²

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Answer:

2/5 x 7" is 70.

Step-by-step explanation:

To solve this problem, you need to perform the operation of multiplication. In this case, the problem can be solved by multiplying 2 by 5, and then multiplying the result by 7.

The order of operations, also known as the hierarchy of operations, tells us the order in which we should perform calculations in a math problem. The order of operations is important because it ensures that calculations are done in the correct sequence and that the final result is accurate.

In this problem, the multiplication operation should be done before the division operation, because multiplication and division have the same precedence and should be done from left to right.

So, to solve the problem, you would first multiply 2 by 5 to get 10, and then multiply 10 by 7 to get the final result of 70.

Therefore, the answer to the problem "2/5 x 7" is 70.

Answer: =2.8

Step-by-step explanation:

2/5 x 7

=0.4 * 7

=2.8

Answer:

33.33%

Step-by-step explanation:

Prime numbers from 1 to 30 are 2,3,5,7,11,13,17,19,23,29.

So There are 10 prime numbers

Therefore,

P(of randomly selecting a prime number from the first 30 natural numbers)=10/30= 1/3 = 33.33%

Answer:

About 12.5%

cus 25% x 50 = 12.5%

50 is from the first marked down 50%, then u subtract it from 100%, making it another 50%.

The reflection of the graph in the x-axis gives the function

g(x) = -x² - 3x - 2

The given function is of the form f(x) = x² + 3x + 2 which represents a parabola.

The vertex of the function is at (-3/2 , -1/4)

The focus is at ( 3/2 , 0 )

The axis of symmetry is 2x+3 = 0 and the directrix is at 2x + 1 = 0

Now when the parabola is reflected along the x-axis we get

the focus at ( -3/2 , 0 )

the vertex is at  (-3/2 , 1/4)

Axis of symmetry remains the same

The directrix becomes 2y-1 =0

The red graph denotes the function f(x) while the blue graph denotes the function g(x) reflected on the x-axis.

Hence the reflection on the x-axis gives the function g(x) = -x² - 3x - 2

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Answer:

Area = 240 cm²

Step-by-step explanation:

Area of the shape = area of rectangle + area of triangle

= L*W + ½*bh

L = 18 m

W = 10 m

b = 10 m

h = 30 - 18 = 12 m

Plug in the values

Area of the shape = 18*10 + ½*10*12

= 180 + 60

= 240 cm²

there is not sufficient evidence to claim that the variance of the battery life population is different than 4 hours2 at a significance level of 0.05.

answer is D. None of the above.

To test if there is significant evidence to claim that the variance of the battery life population is different than 4 hours2, we can use a chi-square test.This is how the test statistic is computed:

X2 = (n-1)*(s2/σ2)

where n is the sample size, s2 is the sample variance and σ2 is the population variance.

In this case, n = 16, s2 = 3.25 and σ2 = 4

X2 = (16-1)*(3.25/4) = 12.1875

The critical value of X2 with 15 degrees of freedom and α = 0.05 is 24.996. Therefore, since 12.1875 < 24.996, we fail to reject the null hypothesis, and there is not sufficient evidence to claim that the variance of the battery life population is different than 4 hours2 at a significance level of 0.05.

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Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.

We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000

At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.

For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals

1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000

For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2

For the seventh payment (end of year 7), the present value is:

7,000 x [(1 - (1 + r)-7) / r]

which equals

7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7

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The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.

To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:

x | y

-------

O | 1

X | 4

2 | 3

3 | 2

3 | 5

4 |

5 |

From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.

This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).

Therefore, the given table does not represent a function.

The correct answer is D. No, because one x-value corresponds to two different y-values.

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Answer:I think its c

Step-by-step explanation:

Answer: y

Step-by-step explanation:

Slope intercept form is written as

Y=mx+b, so you’d solve for the variable y

Answer:

the answer is 12

Step-by-step explanation:

d=2r=2*6.2=12.4

Answer:

The rate is 6.94 %

Step-by-step explanation:

Given;

Amount borrowed by Fred to  start up the e-commerce, P = 15000

time of investment, t = 12 years

interest, I = 18000

The rate is given by the following equation;

P = IRt

R = P / It

where;

R is the rate

P is the principal

I is the interest

t is the time

R = (15000) / (18000 x 12)

R = 0.0694

R = 6.94 %

Therefore, the rate is 6.94 %

Answer:0.65

Step-by-step explanation:

Firstly, we convert the fractions into decimals:

6/10=0.6

1/5=0.2

1/4=0.25

We then get :  0.6 - 0.2 + 0.25

0.6-0.2=0.4

0.4+0.25=0.65

The correct answer is the first option, "not a binomial random variable, because you have more than two outcomes".

A binomial random variable must have the following properties:

1. A fixed number of trials, n.

2. Two possible outcomes.

3. The outcomes should be independent of one another.

4. The probability of each outcome should be fixed for every trial.

Here, although conditions 3 and 4 are being fulfilled, we do not know anything about the number of trials. Most importantly, condition 2 is not fulfilled. There are three possible outcomes, and the weather can be modeled by a multinomial distribution if conditions 1, 3, and 4 are met. But not binomial.

So, the correct answer is the first option, "not a binomial random variable, because you have more than two outcomes".

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Reason:

Choices A through C all result in 8/3 = 2.667 approximately

In contrast, choice D becomes 2/3 + 4/3 = (2+4)/3 = 6/3 = 2; showing that choice D is not equivalent to choices A through C.

Answer:

(a) D. All the above

(b) \(p = 10\) --- Mean

(c) \(s = 3\) --- Standard Deviation

(d) A. No, 15 is not a significantly high number of golf balls, because the probability of 15 is greater than 0.05

Step-by-step explanation:

Solving (a):

Option (d) answers the question because (a), (b) and (c) are all true

For (a): x must be a random variable

For (b): \(\sum p(x) = 1\)

For (c): \(0 \le p(x) \le 1\)

Solving (b): The mean

Mean (p) is calculated as:

\(p = \sum xp(x)\)

So, we have:

\(p = 3 * 0.14 + 6 * 0.03 + 9 * 0.36 + 12 * 0.37 + 15 * 0.10\)

\(p = 9.78\)

\(p = 10\)

Solving (c): The standard deviation

This is calculated as:

\(s = \sqrt{\sum[ x*p(x) *(1-p(x))]}\)

So, we have:

\(s = \sqrt{3 * 0.14 *(1 - 0.14) + 6 * 0.03 * (1 - 0.03) +..............+ 15 * 0.10 * (1 - 0.10)}\)\(s = \sqrt{6.7566}\)

\(s = 2.599\)

\(s = 3\)

Solving (d): Is P(x = 15) significantly high?

From the question:

\(P(x = 15) = 0.10\)

In probability:

\(0 \le x \le 0.15\) is considered to be low (i.e. not high) because it is almost not sure to occur

Hence, (a) is true

When substituting y = 11 into the equation y = 1/2(x) - 25, we find that x = 72, confirming that (23.5, 11) is a valid point of intersection.

Given that x is 23.5, it is required to prove that it is an intersection point for the equation y = 1/2(x) - 25 when y is equal to 11.

The equation is given as y = 1/2(x) - 25

When y = 11, we can substitute the value of y in the equation to obtain 11 = 1/2(x) - 25

This can be simplified as 11 + 25 = 1/2(x)36 = 1/2(x)

On solving, x = 72Thus, when y is equal to 11 and x is equal to 72, the given point of intersection is valid.

Therefore, it can be concluded that x = 23.5 is a point of intersection for the equation y = 1/2(x) - 25 when y is equal to 11.

In summary, when given an equation with two variables, we can find the point of intersection by setting one of the variables to a given value and solving for the other variable. In this case, when y is equal to 11, we can solve for x and obtain the point of intersection as (72,11).

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Answer:

The smallest possible length is 0.83m

Step-by-step explanation:

Given

\(Volume = 565L\)

Required

The smallest length of the tank

Since the tank is cubical, then the volume is:

\(Volume = Length^3\)

This gives:

\(565L= Length^3\)

Express as \(m^3\)

\(\frac{565m^3}{1000} = Length^3\)

\(0.565m^3 = Length^3\)

Take cube roots of both sides

\(0.8267m = Length\)

Rewrite as:

\(Length = 0.8267m\)

Approximate

\(Length = 0.83m\)

Answer:

radius

Step-by-step explanation: