Determine the average speed Mrs Bell was driving if she covered a distance of 195 km in 3 hours. You may use the formula below. Distance = Speed Time​

Answer:

A.

Step-by-step explanation:

This is a 4th degree polynomial. The function has two roots at x = 0, and two more roots at x = -2 and x = 2. Since the two roots at x = 0 are just one number, the function has three distinct real roots.

Answer: A.

Answer:or point  A (-2, 3) is (-8,12).

Step-by-step explanation:

Answer:

16 minutes

Step-by-step explanation:

First we are going to want to find the area of the window. We then divide that by the amount of area you can wash per minute ( 6 square feet )

So first lets find the area.

We are told that the window is in a shape of a trapezoid.

The area of a trapezoid can be calculated using the formula A = \(\frac{a+b}{2} h\)

Where a and b are the base lengths and h is the height

We are told that the length of the bases are 10 ft and 14ft so a and b = 10 and 14. We are also told that the window has a height of 8 so h = 8 .

We then plug these numbers into the formula to find the area

Recall formula: \(A=\frac{a+b}{2} h\)

a = 10 , b = 14 and h = 8

plug in these values into formula

\(A=\frac{10+14}{2} 8\)

add 10 and 14 to get 24

\(A=\frac{24}{2} 8\)

simplify fraction : 24 / 2 = 12

\(A=(12)(8)\)

multiply 12 and 8 to get 96.

A = 96 square feet.

To find how long it would take to wash the window we divide the total area of the window by the amount of area that can be washed per minute

Total area of window = 96

Area that can be washed per minute = 6

Time it would take to wash the whole window = 96 / 6 = 16 minutes

Answer:

Explanation:

• Loan Amount = $500

• Time = 2 weeks

• The amount paid pack = $520

We want to determine the simple interest rate.

First, find the amount paid as interest:

Answer:

1m=100cm

Step-by-step explanation:

do it correctly, sooo ya

The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). We can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.

The UC Berkeley Institute of Governmental Studies conducted a poll in 2019 with 4,527 respondents in California, where 51.7% of them reported considering moving out of the state. The objective is to calculate a 95% confidence interval for the proportion of all Californians who considered moving out of state, given the sample size and proportion.

B. The formula to calculate the confidence interval for a proportion is:

CI = p^ ± z* √[(p^(1-p^))/n]

Where p^ is the sample proportion, n is the sample size, and z* is the critical value of the standard normal distribution for the desired confidence level. For a 95% confidence level, z* = 1.96.

Substituting the given values into the formula, we get:

CI = 0.517 ± 1.96 * √[(0.517*(1-0.517))/4527]

CI = 0.517 ± 0.013

The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). Therefore, we can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.

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The exponent in Sam’s product is -5.

What does a math exponent mean?

Let us first multiply 500 with 3. 625×10-8

3. 625×10-8  × 500 = 1812.5 × 10⁻⁸

Then Sam has reported this answer in scientific notation

The format for writing a number in scientific notation is

(first digit of the number) followed by (the decimal point) and then (all the rest of the digits of the number), times (10 to an appropriate power).

In 1812.5 × 10⁻⁸  we move the decimal 3 times to left side

Since the decimal is moved left side, we multiply by 10³

1812.5 × 10⁻⁸ = 1812.5 × 10⁻⁸ × 10³

1812.5 × 10⁻⁸  = 1812.5 × 10⁻⁵

Exponent is a quantity representing the power to which a given number or expression is to be raised

1812.5 × 10⁻⁵ exponent is -5

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Answer:

the answer is 6

Step-by-step explanation:

yes u are suppose to simplify

Answer:

y=x+6 is the correct answer:)

Step-by-step explanation:

When performing a statistical test, such as the Chi-Square test, the p-value is a crucial component in determining the significance of the data compared to the null hypothesis. The p-value represents the probability of observing the given data, or more extreme results, assuming the null hypothesis is true. In general, a p-value threshold of 0.05 is used to determine statistical significance.

If the calculated p-value is less than or equal to 0.05, it indicates that the observed data significantly differ from what is expected under the null hypothesis. This means that there is a less than 5% chance of obtaining the observed data if the null hypothesis were true. Consequently, researchers often reject the null hypothesis in favor of the alternative hypothesis when the p-value is less than or equal to 0.05.

However, it is essential to note that the choice of the significance level is subjective and may vary depending on the field or specific study. In some cases, a more stringent threshold, such as 0.01, might be required to minimize the chances of false positives, while in other situations, a more lenient threshold, such as 0.10, may be acceptable.

In summary, a p-value of 0.05 or less typically indicates that the data differ significantly from what is expected under the null hypothesis in a statistical test like the Chi-Square test. However, the chosen threshold for significance may vary depending on the specific context and research objectives.

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Given:

Polynomial is \(3x^2+15x-56\).

To find:

The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.

Solution:

The sum of given polynomial and the square of the binomial (x-8) is

\(3x^2+15x-56+(x-8)^2\)

\(=3x^2+15x-56+x^2-2(x)(8)+8^2\)    \([\because (a-b)^2=a^2-2ab+b^2]\)

\(=3x^2+15x-56+x^2-16x+64\)

On combining like terms, we get

\(=(3x^2+x^2)+(15x-16x)+(-56+64)\)

\(=4x^2-x+8\)

Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is \(4x^2-x+8\).

The correct representation of 6/1 is in figure A.

Given:

The four figures with shaded regions and unshaded regions.

To find:

The figure with the correct representation of 6/1.

Solution:

In figure A

Fraction of one box =\(\frac{1}{1}\)

There are six individual boxes that will be represented as:

\(\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}=\frac{6}{1}\)

In figure B

The number of shaded regions = 5

The total number of regions = 6

The representation will be :

\(\frac{\text{Shaded region}}{\text{Total regions}}=\frac{5}{6}\)

In figure C

Fraction of one box =\(\frac{1}{1}\)

There are five individual boxes that will be represented as:

\(\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}=\frac{5}{1}\)

In figure D

The number of shaded regions = 1

The total number of regions = 1

The representation will be:

\(\frac{\text{Shaded region}}{\text{Total regions}}=\frac{1}{6}\)

The correct representation of 6/1 is in figure A.

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Answer:

420

Step-by-step explanation:

maybe I don't know sorry

Answer:

answer is 420

step by step explanation

The average score on the original exam for the mathematics class can be determined by plugging in t = 0 into the given equation, S = 86 - 14ln(t + 1). This yields an average score of 86 points.

To find the average score on the original exam, we substitute t = 0 into the equation S = 86 - 14ln(t + 1). The natural logarithm of (t + 1) becomes ln(0 + 1) = ln(1) = 0. Thus, the equation simplifies to S = 86 - 14(0), which results in S = 86. Therefore, the average score on the original exam is 86 points.

To determine the number of months it takes for the average score to fall below 66%, we set the average score, S, equal to 66 and solve for t. The equation becomes 66 = 86 - 14ln(t + 1). Rearranging the equation, we have 14ln(t + 1) = 86 - 66, which simplifies to 14ln(t + 1) = 20. Dividing both sides by 14, we get ln(t + 1) = 20/14 = 10/7. Taking the exponential of both sides, we have\(e^{(ln(t + 1))}\) = \(e^{(10/7)}\). This simplifies to t + 1 = \(e^{(10/7)}\). Subtracting 1 from both sides, we find t = e^(10/7) - 1. Rounding this value to the nearest whole number, we conclude that it takes approximately 3 months for the average score to fall below 66%.

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Answer:

The car value is $13,312.50

Step-by-step explanation:

Trust me this stuff is easy

The car will be worth $13,312.50 after 51 months from when it was purchased.

Depreciation is the process of deducting the cost of a business asset over a long period of time, rather than over the course of one year.

Now it is given that,

Price of car during purchase = $28,400

Depreciation Time = 8 years

Straight line depreciated value after 8 years = $0

So, Amount of Depreciation per year = Price of car / Depreciaton Time

⇒ Amount of Depreciation per year = 28,400/8

⇒ Amount of Depreciation per year = $3,550

So, after 51 months i.e. 51/12 years

Amount of Depreciation of car after 51 months = Amount of Depreciation per year x Number of years

⇒ Amount of Depreciation of car after 51 months = 3,550 x 51/12

⇒ Amount of Depreciation of car after 51 months = $15,087.5

So, Cost of car after 51 months = $28,400 - $15,087.5

⇒ Cost of car after 51 months = $13,312.50

Thus, the car will be worth $13,312.50 after 51 months from when it was purchased.

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For test statistic: 1. Yes 2. Optimistic or pessimistic 3. Frequency of recycling per month 4. Two tail hypothesis 5. NA 6. Critical value is 2.00 7. Without knowing sample sizes can't get t-value 8. Decision undetermined 9. NA 10. NA

1. Yes, this is a quasi-experimental design because participants are not randomly assigned to groups.

2. The independent variable in this study is the attitude towards eco-friendly behaviors (optimistic or pessimistic).

3. The dependent variable in this study is the frequency of recycling per month.

4. This is a two-tail hypothesis because we are testing whether there is a difference in recycling behaviors between the two groups, not specifically whether one group recycles more or less than the other.

5. NA, since this is a two-tail hypothesis.

6. The critical value for this t-test at a .05 level of significance with a two-tail hypothesis and using a t-table can be found. Since we don't know the degrees of freedom, let's assume a large sample size (e.g., df = 60). In this case, the critical value would be ±2.00.

7. To calculate the test statistic (t-value) for this test, follow these steps:
 a. Calculate the difference between the means (M1 - M2): 2.9 - 6.8 = -3.9
 b. Calculate the pooled variance: \([(SD1^2 / n1) + (SD2^2 / n2)]\)
 c. Take the square root of the pooled variance: sqrt(pooled variance)
 d. Divide the difference between means by the result from step c: (-3.9) / sqrt(pooled variance)
 Without knowing the sample sizes (n1 and n2), we cannot calculate the exact t-value.

8. Given that we cannot compute the exact t-value without sample sizes, the decision for this test cannot be determined.

9. NA, since we cannot determine the significance of the test without the test statistic.

10. NA, since we cannot compute the effect size without the test statistic.

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The solution is the set of all points (x,y) that satisfy the inequality y < 2x + 4.

What is the graph of a function?

The graph of a function is a visual representation of the relationship between the input values (x-coordinates) and the output values (y-coordinates) of the function. In other words, it is a visual representation of the function's rule.

The graph of a function can take many different forms, depending on the function's rule. Linear functions, for example, will produce a straight line on the graph.

To solve the inequality 2y – 4x < 8, we can start by isolating y by adding 4x to both sides:

2y < 4x + 8

then divide both sides by 2:

y < 2x + 4

This is the solution in slope-intercept form (y = mx + b), where the slope is m = 2 and the y-intercept is b = 4.

To graph the solution, you can pick a few x-values and substitute them into the inequality to find the corresponding y-values.

You can use x = -2, x = -1, x = 0, x = 1, x = 2, for example and find the y-values for each x, y < 2* -2 + 4 = 0, y < 2* -1 + 4 = 2, y < 20 + 4 = 4, y < 21 + 4 = 6 and y < 2*2 + 4 = 8.

Then plot those points on a coordinate plane and draw the line that goes through them, and shade the half-plane that is below the line

Hence, the solution is the set of all points (x,y) that satisfy the inequality y < 2x + 4.

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use sin

sin(50) = x/6

sin(50) x 6 = x

x = ~4.5963

\(\textbf {The answer is h = -2/9.}\)

\(\textrm {We are given that 9/2h = -1. Hence, divide by 9/2 on both sides.}\)

\(\frac{9/2h}{9/2} = \frac{-1}{9/2}\)

\(\boxed {h = -\frac{2}{9}}\)

Answer:

1- Yes

2- No

3. No

Step-by-step explanation:

Not 100% sure

Answer:

1) yes

2) yes

3)no

Answer:

2p²-5p+3 is the final answer as they aren't any like terms to collect in order to simply the solution further.

Step-by-step explanation:

Wishing you a splendiferous day,

stay salty...

The probability of obtaining the number of successes indicated in problems 51–58 is 0.42.

Probability is absolutely how in all likelihood something is to happen. every time we're unsure about the final results of an occasion, we can talk about the chances of sure results—how in all likelihood they may be. The analysis of occasions ruled by using probability is called facts.

The opportunity of an event may be calculated with the aid of the opportunity formula by means of truly dividing the favorable wide variety of results by way of the overall variety of feasible effects.

Probability is the department of mathematics regarding numerical descriptions of ways possibly an occasion is to occur, or how likely it's miles that a proposition is actual. The chance of an event is more than a few between zero and 1, in which, roughly talking, 0 shows the impossibility of the event and 1 suggests fact.

Cells x doute the no of surrell and

"p' denotes the probability of turrets

D= 5

H=pkin = 50-xo-5 = 250

σ = SD(X) = √√rbg

= √√5=x05x=5 = 14.№33

The probability of obtaining $45-26

= P(-5-250 < x-M 22605-250)

14.233

= P(-03864 < 2 2 0-7332)

8.4200

0.42

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Chuck cannot draw pyramids because the lateral faces of pyramids are triangles and he can include prisms on his poster since the lateral faces of prisms are rectangles. Also, Chuck is not correct that a cylinder is a polyhedron because the faces of a polyhedron are not polygons and a cylinder has 2 circular bases and a curved surface.

Chuck is making a poster about polyhedrons for his math class. He will draw figures and organize them in different sections of the poster. Chuck wants to draw three-dimensional figures whose lateral faces are rectangles. He says he can draw prisms and pyramids. However, Chuck cannot draw pyramids because the lateral faces of a pyramid are triangles. He can include prisms on his poster since the lateral faces of prisms are rectangles.

Chuck says that he can draw a cylinder on his polyhedron poster because it has a pair of bases that are congruent. But, Chuck is not correct. The faces of a polyhedron are not polygons. A cylinder is not a polyhedron because none of its surfaces are polygons. It has 2 circular bases and a curved surface.

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Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

\(36-\frac{a}{4}\)

Answer:

2/8 or 1/4

Step-by-step explanation:

this is because 2/8+3/8+1/8= 0.75

0.75=3/4

1-3/4=1/4

The amount of pizza left Ethan had his two friends will be 1/4.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Ethan had his two friends over for pizza. Ethan ate 1/4 of the pizza. One of his friends ate 3/8 of the pizza and the other friend ate 1/8 of the pizza.

Then the amount of pizza left is given as,

⇒ 1 - 1/4 - 3/8 - 1/8

⇒ 8/8 - 2/8 - 3/8 - 1/8

⇒ (8 - 2 - 3 - 1) / 8

⇒ (8 - 6) / 8

⇒ 2/8

⇒ 1/4

The amount of pizza left Ethan had his two friends will be 1/4.

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Answer:0.096

here this is your answer

Answer:

2,578 = 6X

Step-by-step explanation:

Given:

Total weight of honey collected = 2,578 ounce

Each jar hold honey = 6 ounce

Find:

Expression to estimate number of  jars can fill :

Computation:

Assume ,

Total number of jars can fill = X

So,

Total weight of honey collected  = Total number of jars × Each jar hold honey

2,578 = 6 × X

2,578 = 6X

Solution,

Principal=£ 500

Time=2 years

Interest=£40

Rate=?

Now,

R=I*100/P*T

= 40*100/500*2

=4000/1000

=4%

Hope it helps

Good luck on your assignment

Answer:

\(4\%\)

Step-by-step explanation:

\(p = 500 \\ r = x \\ t = 2\)

\(simple \ \: \: \: = \frac{prt}{100} \\ interest \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 40= \frac{500 \times x \times 2}{100} \\ \: \: \: \: \: \: \: 40 \: \: \: \: \: \: \: \: \: = \frac{1000x}{100} \\ \frac{40 \times 100}{1000} = x \\ x = 4\)

Answer:

10\(\sqrt{15}\) + 21\(\sqrt{10}\)

Step-by-step explanation:

-\sqrt{15}(-10-7\sqrt{6})

−

15

​

(−10−7

6

​

)

expand -sqrt15(-10-7sqrt6)

1 Expand by distributing terms.

-(-10\sqrt{15}-21\sqrt{10})

−(−10

15

​

−21

10

​

)

2 Remove parentheses.

10\sqrt{15}+21\sqrt{10}

10

15

​

+21

10

​