hurry I will mark brainlist if you help with me with these 2 simple questions

Answer:

I think right answer is integers

Using the test statistic, at the 0.05 level of significance, we do not find sufficient evidence to support the political scientist's claim and hence reject the null hypothesis.

To determine whether there is enough evidence to support the political scientist's claim that the proportion of college students interested in their district's election results is more than 65%, we can perform a hypothesis test using the given data.

Let's set up the null and alternative hypotheses:

H₀: p ≤ 0.65 (Null hypothesis: The proportion of college students interested in election results is 65% or less)

Ha: p > 0.65 (Alternative hypothesis: The proportion of college students interested in election results is more than 65%)

We are given that the sample size is 265 college students, and out of this sample, 180 students say they're interested in their district's election results.

To perform the hypothesis test, we'll calculate the test statistic, which is the z-statistic in this case, using the formula:

z = (p - p₀) / √(p₀(1-p₀)/n)

Where p is the sample proportion, p₀ is the hypothesized proportion under the null hypothesis, and n is the sample size.

Let's calculate the sample proportion:

p = 180 / 265 ≈ 0.679

Now, we can calculate the test statistic:

z = (0.679 - 0.65) / √(0.65(1-0.65)/265) ≈ 1.295

Next, we'll compare the test statistic with the critical z-value at a 0.05 level of significance (α = 0.05) for a one-tailed test.

Using a standard normal distribution table or a statistical calculator, the critical z-value at α = 0.05 is approximately 1.645.

Since the test statistic (1.295) does not exceed the critical z-value (1.645), we fail to reject the null hypothesis. In other words, we do not have enough evidence to support the political scientist's claim that the proportion of college students interested in their district's election results is more than 65% based on this sample.

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A factorial anova includes only three or more independent variable(s). A factorial ANOVA involves analyzing the effects of two or more independent variables on a dependent variable. Therefore, it requires at least three independent variables to be included in the analysis. The correct answer is d.

Factorial ANOVA is a statistical analysis method used to examine the effects of multiple independent variables on a dependent variable. It involves examining the main effects of each independent variable, as well as the interactions between them.

A factorial ANOVA is typically used when researchers are interested in examining the combined effects of multiple variables on a single outcome. The method can be used in a wide range of fields, from psychology to biology to engineering, and is particularly useful in experimental research designs.

Overall, factorial ANOVA is a powerful tool for analysing complex data and uncovering the underlying relationships between variables. So, the correct answer is D).

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Answer:

2√30

Step-by-step explanation:

Since we have a right triangle, we first need to find the base of the big triangle, which is also the hypo of the smaller triangle.

We apply A²+B²=C²

We plug values in that we have

15²+B²=19²

Simplify

B²=136

B=√136=√2x2x2x2x17=4√17

Now that we have the hypo for the small triangle we apply the same formula to get X

4²+X²=√136

16+X²=136

X²=120

X=√120=√2x2x2x3x5=2√30

Answer:

11.0 mm (3sf)

Step-by-step explanation:

Let length of hypotenuse of smaller triangle be H mm. (this is referring to the only unlabelled length in the picture)

by the Pythagorean theorem (larger triangle),

19² = 15² + H²

H² = 361 - 225

H² = 136

by the Pythagorean theorem (smaller triangle),

H² = 4² + x²

136 = 16 + x²

x² = 120

x = 11.0 mm (3sf)

hope this helps!

The present value of the annuity at the end of year 7 is approximately $47,069.08.

To calculate the present value of an ordinary annuity, we can use the formula:

PV = PMT * [(1 - (1 + r)⁻ⁿ) / r],

where PV is the present value, PMT is the annual payment, r is the interest rate per period, and n is the number of periods.

In this case, the annual payment is $4,500, the interest rate is 8%, and the number of periods is 16. However, the payments start at the end of year 8 and continue until the end of year 23, which means there is a delay of 7 years.

Using the formula, the present value at the end of year 7 can be calculated as:

PV = $4,500 * [(1 - (1 + 0.08)⁻¹⁶) / 0.08] = $47,069.08.

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Answer:

He was traveling for 8 hours

Step-by-step explanation:

If 2 hours he traveled with 4 miles in each hour, then there must be 8 miles in total. 18 miles left to go. Since he was traveling 3 miles per hour, there must be 6 hours. 2+6=8

Answer:

x = 5/4

y = 15/16

Step-by-step explanation:

Let's solve your system by substitution.

y = 3/4x; 5/2x + 2y = 5

Step-by-step explanation:

4r-2=r+1+3

4r-r= 4+2

3r=6

r=6/3

r=2

Answer:

46

Step-by-step explanation:

length x width x height

7 x 5 x 3

Answer: surface area = 142

Volume = 105

* make sure to add labels (units^2, etc.)

Step-by-step explanation:

Area = length x height

Volume = length x width x height

Step 1: The surface area of revolution about the y-axis is 12π square units.

Step 2: To find the surface area of revolution, we can use the formula:

\(\[A = 2π \int_{a}^{b} f(x) \sqrt{1 + \left(\frac{dy}{dx}\right)^2} \, dx\]\)

In this case, the function is \(\(y = 3x + 3\)\) and we need to find the surface area over the interval \(\(0 \leq x \leq 1\).\)

The first step is to calculate \(\frac{dy}{dx}\):

\(\[\frac{dy}{dx} = 3\]\)

Next, we substitute the values into the formula and integrate:

\(\[A = 2π \int_{0}^{1} (3x + 3) \sqrt{1 + (3)^2} \, dx\]\)

Simplifying:

\(\[A = 2π \int_{0}^{1} (3x + 3) \sqrt{10} \, dx\]\)

\(\[A = 2π \sqrt{10} \int_{0}^{1} (3x + 3) \, dx\]\)

\(\[A = 2π \sqrt{10} \left[\frac{3}{2}x^2 + 3x\right]_{0}^{1}\]\)

\(\[A = 2π \sqrt{10} \left(\frac{3}{2}(1)^2 + 3(1) - \frac{3}{2}(0)^2 - 3(0)\right)\]\)

\(\[A = 2π \sqrt{10} \left(\frac{3}{2} + 3\right)\]\)

\(\[A = 2π \sqrt{10} \left(\frac{9}{2}\right)\]\)

\(\[A = 9π \sqrt{10}\]\)

\(\[A \approx 12π\]\)

Step 3: The surface area of revolution about the y-axis for the function \(y = 3x + 3\) over the interval \(0 \leq x \leq 1\) is approximately 12π square units. To calculate the surface area, we used the formula for surface area of revolution and substituted the function and its derivative into the integral. By evaluating the integral, we found the exact value to be \(9π \sqrt{10}\), which is approximately equal to 12π. This means that the surface area of the revolution is equivalent to the surface area of a cylinder with a radius of 3 and height of 4. The surface area represents the total area covered by rotating the curve around the y-axis.

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The correct location of the decimal point when the expression 3.72 divided by 10⁴ is evaluated is: 0.000372 because the decimal point moves 4 places to the left when you divide by 10 to the fourth power. The correct option is B.

To evaluate this expression, we need to move the decimal point 4 places to the left, since the exponent is positive.

Option A is incorrect because placing 4 zeros in front of the number would give us a much smaller value than the original number. Option B is correct because moving the decimal point 4 places to the left would give us 0.000372, which is equivalent to 3.72 divided by 10⁴.

Option C is incorrect because moving the decimal point 4 places to the right would give us a much larger value than the original number. Option D is also incorrect because placing 4 zeros after the number would give us a value that is 10,000 times larger than the original number.

Therefore, the correct answer is B, which shows and explains the correct location of the decimal point when the expression 3.72 divided by 10⁴ is evaluated. The correct option is B.

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Complete question:

3.72 divided by 10⁴ which of these shows and explains the correct location of the decimal point when the expression is evaluated?

A 0.0000372 because 4 zeros are placed in font of the number when you divide by 10 to the fourth power

B 0.000372 because the decimal point moves 4 places to the left when you divide by 10 to the fourth power

C 37,200 because the decimal point moves for places to the right when you divide by 10 to the fourth power

D 3,720,00 because 4 zeros are placed after the number when you divide by 10 to the fourth power

Answer:

x5/32

Explanation:

1 × 5 = 5

4 × 8 = 32

Bring the X over and you get x5/32.

The statement that is true is that;

The triangle are not similar

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

For two triangles to be similar, the corresponding angles must be congruent and and the ratio of the corresponding sides must be equal.

In this case , the corresponding angle of 49° in the other triangle is not 49°. Therefore the triangles are not similar.

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Answer:

The first number is -6. The second number is -4.

Step-by-step explanation:

Let the second number be x.

"one number is 2 less than a second number"

Second number: x

First number: x - 2

"twice the second number is 22 more than 5 times the first"

2x = 5(x - 2) + 22

Distribute on the right side.

2x = 5x - 10 + 22

Subtract 5x from both sides. Combine like terms on the right side.

-3x = 12

Divide both sides by -3.

x = -4

x - 2 = -4 - 2 = -6

The first number is -6. The second number is -4.

Answer:

tip would be $3.50

Step-by-step explanation:

10% + 5% = 15%

10% of 23.25 is 2.33

5% of 2.33 is 1.17

add 2.33 and 1.17 to get 3.50

Answer:

I would do the question like

10% + 5% = 15% which would equal 3.50

Hope this helped (please mark brainliest)

The first five terms of each sequence can be written from the nth term of the sequence and the type of sequence are, arithmetic, geometric, geometric, geometric, and geometric respectively.

It is given that:

The sequences are:

1. a(1) = 7, a(n) = a(n - 1) - 3 for n > 2.

Plug n = 2 in the a(n)

a(2) = a(2 - 1) - 3

a(2) = a(1) - 3

a(2) = 7 - 3

a(2) = 4

lug n = 3

a(3) = 1

The first five terms are:

7, 4, 1, -2, -5 (arithmetic sequence)

2. b(1) = 2, b(n) = 2[b(n - 1) - 1] for n > 2.

Similarly,

The first five terms are:

2, 2, 2, 2, 2 (geometric sequence)

3. c(1) = 3. c(n) = 10 • c(n - 1) for n > 2.

The first five terms are:

3, 30, 300, 3000, 30000 (geometric sequence)

4. d(1) = 1, d(n) = n • d(n - 1) for n > 2.​

1, 2, 6, 24, 48 (geometric sequence)

Thus, the first five terms of each sequence can be written from the nth term of the sequence and the type of sequence are, arithmetic, geometric, geometric, geometric, and geometric respectively.

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Write the first five terms of each sequence. Determine whether each sequence is arithmetic, geometric, or other.

1. a(1) = 7, a(n) = a(n - 1) - 3 for n > 2.

2. b(1) = 2, b(n) = 2 • b(n - 1) - 1 for n > 2.

3. c(1) = 3. c(n) = 10 • c(n - 1) for n > 2.

4. d(1) = 1, d(n) = n • d(n - 1) for n > 2.​

The difference between the 2 in the tens place and 2 to its left column in the given number 2,222.222 is 180.

According to the number system, a number can be written in its expanded form according to their pace value in the chart.

2,222.222 can be written as 2×1000+2×100+2×10+2X1+2×1/10+2×1/100+2×1/1000

The place value of 2 in the tens place in given number 2,222.222 = 20

The place value of 2 in its left column in the given number 2,222.22  = 200

Difference between the place of 2 in tens place and 2 in its left column

= 200 - 20

= 180

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1. Since triangle ABC and DEF are congruent, the value of x is -3

2. length AB = 24

length DE = 24

If the three angles and the three sides of a triangle are equal to the corresponding angles and the corresponding sides of another triangle, then both the triangles are said to be congruent.

Since triangle ABC is congruent to triangle DEF , then we can say that line AB is equal to line DE

therefore;

12- 4x = 15-3x

collect like terms

12 -15 = -3x +4x

x = -3

therefore the value of x is -3 and

AB = 12 - 4x

AB = 12 -4( -3)

AB = 12 +12 = 24

DE = 15-3x

= 15-3(-3)

= 15 + 9

= 24

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Answer:

x<4

Step-by-step explanation:

5x-18>2(4x-15)

5x-18> 8x-30

-18>3x-30

12>3x

4>x

x<4

A line, line segment, or ray that divides an angle into two congruent angles is called an angle bisector.

What are supplementary angles example?

Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°. Similarly, complementary angles add up to 90 degrees.

What do you mean by angle bisector?

If the angle is divided by the line and the angle is divided such that the angles are equal to each other then the line is called the angle bisector.

The word congruent means equal of the things. In this, the angles are congruent to each other which means the angles are equal to each other.

Thus, the black space is to be filled by the angle bisector.

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The minimum average cost per unit for the given cost function is x ≈ 116 (Round to the nearest whole number as needed.).

Cost function for the product,

C(x) = 0.002x³ + 8x + 6,244

Production level that produces the minimum average cost per unit  C(x),

First find the average cost per unit,

AC(x) = C(x)/x

Substituting the given cost function C(x), we get,

⇒ AC(x) = (0.002x³ + 8x + 6,244)/x

Simplifying this expression, we get,

⇒AC(x) = 0.002x² + 8 + 6,244/x

The value of x that minimizes AC(x) take the derivative of AC(x) with respect to x, set it equal to zero,

⇒ d(AC(x))/dx = 0.004x - 6,244/x²

⇒0.004x - 6,244/x² = 0

Multiplying both sides by x^2, we get,

⇒ 0.004x³ - 6,244 = 0

Solving for x, we get,

⇒ x = ∛6,244/0.004

⇒ x ≈ 116 (Round to the nearest whole number as needed.)

Therefore, the production level that will produce the minimum average cost per unit is approximately 116.

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Answer:

D. 5(z/x)^10

Step-by-step explanation:

15/3 = 5

z^-5 gets moved to the top, and made positive z^5

x^-3 gets moved to the bottom, and made positive x^3

z^5 + z^5 = z^10

x^7 + x^3 = x^10

5(z/x)^10

Answer:

6:18 i think

Step-by-step explanation:

The equation\($f(x)=-f(x)$ has $\boxed{3}$\) solutions.

Graphs and charts are effective visual tools because they present information quickly and easily. It is not surprising then, that graphs are commonly used by print and electronic media. Sometimes, data can be better understood when presented by a graph than by a table because the graph can reveal a trend or comparison.

Since\($f(x) = -f(x)$\) means that\($f(x)$\) is equal to its own opposite, this equation is equivalent to\($f(x) = 0$\), which means we are looking for the number of solutions to\($y=f(x) = 0$.\)

From the graph, we see that\($f(x) = 0$\) has three solutions, where the graph crosses the\($x$-axis\). Therefore, the equation \($f(x) = -f(x)$\)has \($\boxed{3}$\)solutions.

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Given an equation of a line of the form

where m and c are constants.

Then m is the gradient of the line

and c is the y-intercept.

In our case,

Hence m=-1

and

c=-6

The slope -1

the y-intercept = -6

Answer:

0.91

Step-by-step explanation:

Answer:

0.906

Step-by-step explanation:

how to round decimals:

it's just like rounding regular numbers;

imagine the number is 9,057 and we have to round to the nearest ten. that answer would be 9,060.

except only this time, with the decimal, you can remove the zero.

The difference in the amount paid by Cathy and Steven is $4000.

Simple interest is when the interest that is paid on the loan of a customer is a linear function of the loan amount, interest rate and the duration of the loan.

Simple interest = amount borrowed x interest rate x time

Simple interest of Cathy = $20,000 x 0.052 x 10 = $10,400

Simple interest of Steven = $20,000 x 0.048 x 15 = $14,400

Difference in interest = $14,400 - $10,400 = $4000

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5x -7 = 28

Add 7 to both sides:

5x = 35

Divide both sides by 5:

X = 7

The answer is x = 7

Answer:

7

Step-by-step explanation:

2 3/4=2.75

3/8=0.375

2.75/0.375=7.333333

Since Mrs. Lau cannot make 7.333333 noodles, she can only make 7.

Answer:

Step-by-step explanation:

Divide the full length by the width of each noodle:

The whole part of the quotient is the answer, 7 noodles