Please help me solve this

See below for the response to each question

This is the item that is being surveyed.

The surveyed item is birth weights

Hence, the variable is birth weights

From the question, we have:

Average birth weight is 6 pounds 8 ounces.

Hence, the units of the variable are pounds and ounces

This is the total number of babies in Southeast Asia

Hence, the population of interest is the babies in Southeast Asia

This is the people in the survey

Hence, the individual in the study is the 100 babies that were randomly surveyed

This is the value that gives the required information.

Hence, the parameter of interest is the average birth weight

The statistic is the average

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From the information given about the square pyramid, the maximum base length of the building is 67.42 cm.

We are given the following  details  are:

Base = b

Slant height (l) = 5b

The lateral surface area is calculated using:

L = 2bl

So, we have:

L = 2 * b * 5b

Evaluate the product

L = 10b²

The total surface area is calculated using:

T = L + b²

So, we have:

T = 10b² + b²

Evaluate the sum

T = 11b²

Recall that the maximum surface area is 50,000 square feet

So, we have:

11b² = 50000

Divide both sides by 11

b² = 50000/11

Taking the square root of both sides, we have

b = 67.42

Hence, the maximum base length of the building is 67.42 cm

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The rays and lines in the picture are as follows;

rays: BD, AC and AB

lines: AC

A ray is a part of a line that has one endpoint and goes on infinitely in only one direction.

A ray is named using its endpoint first, and then any other point on the ray

A line segment has two endpoints.

Therefore, the rays and lines are as follows:

rays: BD, AC and AB

lines: AC

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Using the z-distribution, the test statistic is:

c) -2.63.

At the null hypothesis we test if the means are equal, equivalent to a subtraction of 0, hence:

[tex]H_0: \mu_D - \mu_C = 0[/tex]

At the alternative hypothesis, we test if they are different, hence:

[tex]H_1: \mu_D - \mu_C \neq 0[/tex]

For each sample, they are given as follows:

For the distribution of differences, it is given by:

The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{\overline{x} - \mu}{s}[/tex]

[tex]z = \frac{-2 - 0}{0.76}[/tex]

z = -2.63.

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10^12 in standard number is 1000000000000

The number is given as:

[tex]10^{12[/tex]

Expand the expression

[tex]10^{12} = 10 * 10 * 10 * 10 *10 * 10 * 10 * 10*10 * 10 * 10 * 10[/tex]

Evaluate the product

[tex]10^{12} = 1000000000000[/tex]

Hence, 10^12 in standard number is 1000000000000

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Part (a)

[tex]\frac{1}{10}+\frac{3}{10}=\frac{4}{10}=\boxed{\frac{2}{5}}[/tex]

Part (b)

[tex]200\left(\frac{2}{5} \right)=\boxed{80}[/tex]

Answer:

Diameter of sphere = 18 cm

Step-by-step explanation:

     Diameter = 18 cm

                  r = 18÷ 2 = 9 cm

                 h = 12 cm

[tex]\sf \boxed{\bf Volume \ of \ cylinder = \pi r^2h}[/tex]

                                    = π * 9 * 9 * 12 cm³

  [tex]\sf \boxed{\text{\bf Volume of sphere = $\dfrac{4}{3} \pi r^3$}}[/tex]

Solid cylinder is melted and turned into a solid sphere.

Volume of sphere = volume of cylinder

 [tex]\sf \dfrac{4}{3}\pi r^3 = \pi *9*9*12[/tex]

      [tex]\sf r^{3}= \dfrac{\pi *9*9*12*3}{4*\pi }\\\\ r^{3}=9 * 9 *3 *3\\\\\\r = \sqrt[3]{9*9*9}\\\\ r = 9 \ cm\\\\diameter = 9*2\\\\\boxed{diameter \ of \ sphere = 18 \ cm}[/tex]

The insurance cost for the second year from the information given will be $476.

The insurance cost for the second year will be:

= $14000 × 0.034

= $476

Therefore, the insurance cost for the second year will be $476

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The insurance cost for the second year from the information given will be $476.

How to calculate the insurance cost?

The insurance cost for the second year will be:

= $14000 × 0.034

= $476

Therefore, the insurance cost for the second year will be $476

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Considering that the sine is negative and that the cosine is positive, the angle is on the fourth quadrant, hence option C is correct.

Hence, since the sine is negative and that the cosine is positive, the angle is on the fourth quadrant, hence option C is correct.

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Answer: 19

Step-by-step explanation:

[tex]F(5)=5^2 - 2(5)+4=19[/tex]

Answer:

0.2135

Step-by-step explanation:

When something asks to find the product, it indicates multiplication.

We are given two decimals which are: 3.05 and 0.07.

We are asked to multiply and find the product of these decimals.

Let's use the algorithm method.

                   3  .    0   5

x                 0   .    0   7

_____________________

                  2        3

          0 .    2      1    3    5

Therefore, 3.05 × 0.07 = 0.2135.

The average speed with no wind that the group needs to cycle between Banff and Castle Junction is 16.67 km/h.

The average speed (S) of travel is the distance (D) traveled divided by the time taken(T).

An algebraic equation is a statement of the equality of two expressions that have variables, using algebraic operations, known as addition, subtraction, multiplication, division, raising to a power, and extraction of a root.

Distance to Castle Junction and from Banff = 50 km (25 x 2)

Time required to cycle = 3 hours

Effect of wind on cyclists = -+5 km/h

The algebraic equation for speed, S, is D/T

Where:

D = Total distance

T = Total time

Therefore, S = D/T = 50/3

S = 16.6667 km/h

Thus, the average speed with no wind that the group needs to cycle between Banff and Castle Junction is 16.67 km/h.

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The value of the house 2 years from now is $276,480.

Option (C) is correct.

According to the question,

Cost of house last year = $  160000

Cost of house at present = $ 192000

The increase in the price of the house is calculated by finding the difference between the prices in two consecutive years.

Increment in cost = $ (192000-160000) =$ 32000

The rate of increment can be calculated by dividing the increment by the original price and then multiplying it by 100%.

Rate of increment = 32000/160000 * 100 =20%

Thus, the value of the house 2 years from now is calculated as:

=192000(1+20/100)(1+20/100)

=192000*120/100*120/100

= $ 276480

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[tex]x {}^{2} - 9 = 8x \\ x {}^{2} - 8x - 9 = 0 \\ x = \frac{ - ( - 8) + \sqrt[]{( - 8) {}^{2} - 4(1)( - 9)} }{2( {1}^{}) } [/tex]

[tex]x = \frac{8 + \sqrt{64 + 36} }{2} = \frac{8 + \sqrt{100} }{2} = \frac{8 + 10}{2} = 9[/tex]

Answer: x = 9

Step-by-step explanation:

The difference of the square of a number and 9 is equal to 8 times that number. Find the positive solution.

let x = a number

[tex]x^2-9=8x\\x^2-8x-9\\(x-9)(x+1)\\x-9 = 0\\x=9\\x+1=0\\x=-1[/tex]

taking only the positive solution, we get x = 9

Answer:

10.26 I believe you wanted me to divide 7.39/0.72. If so, you get 10.2638 that rounds to 10.26

Step-by-step explanation:

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The value of the expression 7.39 ÷ 0.72 is 10.26 to the nearest hundredths.

We have,

Expression:

7.39 ÷ 0.72

Now,

The expression can be written as,

= 7.39 / 0.72 ______(1)

Simplify the numerator and denominator.

Numerator = 7.39 = 739/100 _____(2)

Denominator = 0.72 = 72/100 ______(3)

Now,

From (1), (2), and (3).

7.39 / 0.72

= (739/100) / (72/100)

= 739/100 x 100/72

100 is the common factor so it gets canceled.

= 739/72

= 10.2638888.....

Rounding to the nearest hundredths.

= 10.26

Thus.

The value of the expression 7.39 ÷ 0.72 is 10.26 to the nearest hundredths.

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Answer:

No Solution

Step-by-step explanation:

1) Simplify -6 - 3 to -3.

-3 = -21

2) Since -3 = -21 is false, there is no solution.

No solution

Answer:

a = 103°

b = 103°

c = 97°

d = 83°

e = 154°

Series are sum of a given sequence.. The sum of the given expression is -33

Series are sum of a given sequence. According to the given expression

∑∑k=1 (k^2-5k-3)

Taking the sum from k = 1 to k = 4

Sum = (1-5-3) + (4-10-3) +(9-15-3)+(15-20-3)

Sum = (-7) + (-9) + (-9) + (-8)

Sum = -33

Hence the sum of the given expression is -33

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The statement ' educators should ensure math instruction is only taught through structured activities rather than through everyday situations and routines is True. Option A

They include;

Thus, the statement ' educators should ensure math instruction is only taught through structured activities rather than through everyday situations and routines is True. Option A

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Answer:

Step-by-step explanation:

false

Answer:

a=0, 12

Step-by-step explanation:

a=0 and –12+a=0===> a=12

The polynomial is quadratic trinomial

The polynomial function is given as:

4x^2+ 8x +16

The highest power in the above polynomial is 2.

This represents quadratic

The number of terms in the above polynomial is 3

This represents trinomial

Hence, the polynomial is quadratic trinomial

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By definition of real field and algebra properties we conclude that the product of three positive integers is always equal to a positive integer.

First, we state the conjecture: The product of three positive integers equals a positive integer. Second, we prove if the conjecture is true:

Integers are part of the real field, which mean that the product of two integers is also an element of that field. By algebra we know that the product of two positive integers is equal to another positive integer. Thus, the product of three positive integers is always equal to a positive integer.

Here is an example:

2 × 5 × 7

10 × 7

70

In a nutshell, the conjecture has been proved true.

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The equivalent expression of [tex]\sqrt x + 11 = 15[/tex] is [tex]\sqrt x = 15 - 11[/tex]

The complete question is in the attached image

The expression is given as:

[tex]\sqrt x + 11 = 15[/tex]

Subtract 11 from both sides of the equation

[tex]\sqrt x + 11 - 11= 15 - 11[/tex]

This gives

[tex]\sqrt x = 15 - 11[/tex]

Hence, the equivalent expression of [tex]\sqrt x + 11 = 15[/tex] is [tex]\sqrt x = 15 - 11[/tex]

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The graph would be affected by horizontally stretching the curve of f(x) = x^2 when the coefficient is changed

The function is given as:

f(x) = x^2

When the coefficient of x^2 changes to 1/3, we have:

f(x) = 1/3x^2

The above represents a stretch of the function

This means that the graph would be affected by horizontally stretching the curve of f(x) = x^2 when the coefficient is changed

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The y-intercept of the linear function y = 3x - 2 is -2

The function is given as

y = 3x - 2

The above function is a linear function, and the y-intercept is the point on the graph, where x = 0 i.e. the point (0, y)

As a general rule, linear functions are those functions that have constant rates or slopes

Next, we set x to 0, and calculate y to determine the value of the y-intercept

y = 3(0) - 2

Remove the bracket in the above equation

y = 3 * 0 - 2

Evaluate the product of 3 and 0 i.e. multiply 3 and 0

y = 0 - 2

Evaluate the difference of 0 and -2 i.e. subtract 0 from 2

y = -2

The above means that the value of y when x is 0 is -2

Hence, the y-intercept of the linear function y = 3x - 2 is -2

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Answer:

subtract 11.3 from 15.9 and b is 4.6

Step-by-step explanation:

Answer:

1 - p

Step-by-step explanation:

1 - p

The graph that represents the given line with slope and y-intercept is as attached below.

We are given the equation;

x - y - 3 = 0

Now, the standard way we should put the equation would be in slope intercept form which is; y = mx + c

where;

m is slope

c is y-intercept

Thus, our equation can be rearranged to get;

y = x - 3

Thus, y-intercept is c = -3

The graph that represents the given line is as attached below.

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Answer:

A $1950

Step-by-step explanation:

Food, camper rental and camp site will cost 1350

(120 + 65 + 85)5 = 1350

The trip is 2500 and the car gets  8 miles per gallon  2500/8 = 31.5.  The will need to buy 31.5 gallons of gas at 1.92 a gallon or $600 (31.5 x 1.92).

When we add the cost of gas to the other costs, we get a total of 1950 (1350 + 600)

Answer:

$2500

Step-by-step explanation:

CA=p(1+MR÷1200)

4000=p(1+180×4÷1200) 15 yrs =15×12=180 month

4000=1.6p

p=4000÷1.6

p=2500

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