A researcher estimates that the average height of the buildings of 30 or more stories in a large city is at least 700 feet. A random sample of 10 buildings is selected, and the heights in feet are shown. At = 0.025, is there enough evidence to reject the claim? 485 511 841 725 615 520 535 635 616 582

Answers

Answer 1

Yes At = 0.025 is there enough evidence to reject the claim.

Given:

A random sample of 10 buildings is selected, and the heights in feet are shown.

485 511 841 725 615 520 535 635 616 582

Mean x = 6065/10

= 606.5

H : μ ≤ 700

n = 10

s = 109.08

α = 0.25

Test stat t = x - μ / s/[tex]\sqrt{n}[/tex]

on submitting the above values

t = -2.71.

so reject h.

Therefore Yes At = 0.025 is there enough evidence to reject the claim.

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Related Questions

Determine which of the lines if any are parallel or perpendicular

Answers

Answer:

Parallel: Lines a and b

Perpendicular: none

Step-by-step explanation:

Both lines a and b have a slope of 1/3.

This means they are parallel, so they'll never intersect.

Perpendicular lines form a right angle, and none seem to do see here.

Given f(x)=3x-5, how do you think you can find x if f(x)=4?

Answers

Answer:

x=3

Step-by-step explanation:

since f(X)=4 we just fill it in on the equation to find x

4=3x-5

+5.   +5

9=3x

/3. /3

3=x

Hopes this helps please mark brainliest

Answer:

[tex]\huge\boxed{\sf x = 3}[/tex]

Step-by-step explanation:

Given function:

f(x) = 3x - 5

Given that, f(x) = 4

So, we can find x by inserting the value of f(x) in the above equation.

4 = 3x - 5

Add 5 to both sides

4 + 5 = 3x

9 = 3x

Divide 3 to both sides

3 = x

OR

x = 3

[tex]\rule[225]{225}{2}[/tex]

Find the missing factor.15 x ____ = 3.6A.0.24B.0.36C.24D.36

Answers

Answer:

24

Step-by-step explanation:

Solving with decimals

.15 * ? = 3.6

Divide each side by .15

? = 3.6/.15

Multiply the top and bottom by 100

? = 360/15

? = 24

Question 3.13R:
Which of the following are equivalent exponential function(s) to f(x)=(4/7)^−x

Answers

f(x) = (7/4)ˣ is the equivalent exponential function to f(x) = (4/7)⁻ˣ

How to find an equivalent exponential function?

Equivalent exponential functions are functions that work the same even though they look different.

If two exponential functions are equivalent, then the two functions will have the same value when we substitute the same value(s) for the variable(s)

Given: f(x) = (4/7)⁻ˣ

Expression of this type can be written in two possibles:

1. By interchanging the numerator and denominator, and then changing the negative power to positive. Thus:

f(x) = (4/7)⁻ˣ = (7/4)ˣ

2. By writing the expression as a reciprocal. Thus:

f(x) = (4/7)⁻ˣ =  1/(4/7)ˣ

Therefore, the equivalent exponential function is f(x) = (7/4)ˣ. The 1st option is the answer

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At an elevation of 1221.4 feet, Lake Mead will hold 28,945,000 acre-feet of water. Which number is the best estimate of this amount of water?

Answers

The estimate of the amount 28,945,000 is 3 × 10⁷

What is an estimate of a value?

An estimate is a rough or approximate calculation or judgement value.

The question is with regards to the scientific notation which is of the form a × 10ᵇ, where absolute a is of a value 1 ≤ a < 10

The scientific notation form of a number is found as follows;

The decimal point on the number is moved from its position to the point such that the number of non zero numbers to the left of the decimal point is 1

The number b is the number of places to which the decimal point is moved.

b is positive when the decimal point is moved to the left

b is negative when the decimal point in the number is moved to the right

b is zero when the decimal point is not moved

The scientific notation number formed, a × 10ᵇ, which is read as a times 10 raised to the power b.

The zeros in the tail to the right of the decimal point are removed

The number 28,945,000 in scientific notation is 2.8945 × 10⁷

The number part of the scientific notation is approximated to the next higher whole number, as follows;

The first digit to the right of the decimal point is 8 which is larger than 5, therefore the 2 is increased to 3

The approximated number is therefore;

3 × 10⁷

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If T is the midpoint of RS and V lies between R and T, which statement must be true?

Answers

T is the midpoint of RS and V lies between Rand T is RV+VT =TS

Explain about the midpoint?

The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the endpoints, and it is equally distant from both of them. It cuts the section in half.

Divide the measurement of the distance between the two end locations by 2. The middle of that line is located at this separation from either end. Alternately, combine the two endpoint x coordinates and divide by 2. similarly for the y coordinates.

The midpoint rule substitutes the midpoints, mi, of each subinterval for xi in a Remain sum with subintervals of equal width to estimate definite integrals.

T is the midpoint of RS so RT =TS

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T is the midpoint of RS and V lies between Rand T is RV+VT =TS

Explain about the midpoint?In geometry, a line segment's midpoint is referred to as the midpoint. It is both the segment's and the endpoints' centroid, and it is equally far away from each. The portion is halved by it.The distance between the two end points should be divided by two. This distance from either end is where the centre of that line is situated. You may also add the two endpoint x coordinates and divide the result by 2. the same is true for the y coordinates.The midpoint rule uses subintervals of equal width to replace the midpoints, mi, of each subinterval in a Remain sum for xi in order to estimate definite integrals.

RT = TS because T is the midpoint of RS.

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Simplify log7 (x) - 2

Answers

Answer:

x log (7) -2

Step-by-step explanation:

Find the zeros of the function algebraically. (Enter your answers as a comma-separated list.)
f(x) = -25x^4 + 9x²
X =

Answers

The zeros of the function algebraically, by using these values we get, {x = -3/5,  x = 3/5}

What are the zeros of the function algebraically?

The zeros of a function are the points at which the function's value is zero. These are obtained algebraically by setting the function to zero and solving the quadratic.

We have,

f(x) = -25x⁴ + 9x²

= (25 • (x⁴)) -  32x²

= (5)²x⁴ -  (3)²x²

= 25x⁴ - 9x²

= x² • (25x²- 9)

25x² - 9

  A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

25  is the square of  5

9 is the square of 3

x²  is the square of  x¹

Factorization is  (5x + 3)  •  (5x - 3)

x² * (5x+3) * (5x-3)

x = -3/5,  x = 3/5

Hence, the zeros of the function algebraically, by using these values we get, {x = -3/5,  x = 3/5}

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Does anyone know the answer to this simple geometry?

Answers

Answer:

4.6

Step-by-step explanation:

we can use the Pythagorean theorem of

A^2 + B^2 = C^2

where A and B are the (lengths of) short sides of a right triangle and C is the (length of) long side.

Here, we have an unknown side, let's call it X, and we know that:

2^2 + X^2 = 5^2

So

4 + X^2 = 25

X^2 = 25 - 4 = 21

X^2 = 21

X = [tex]\sqrt{21}[/tex]

Let's find the root of 21 rounded to the nearest tenth (or you can probably use a calculator, the method I show below is mathematically proper but not part of the curriculum).

the root of 21 is bigger than the root of 16 but smaller than the root of 25. So the number we're looking for is between 4 and 5.

21 is pretty much in the middle, so let's start by checking if it's bigger than 4.5

4.5^2 = 20.25

So 4.5 is a bit too small

Let's check 4.6

4.6^2 = 21.16

So 4.6 is a bit too big.

So we know our number is between 4.5 and 4.6 now. To have a good rounding to the nearest tenth, we only need to find out if it's over or below 4.55 (as this gives us direct rounding to the nearest tenth).

4.55^2 = 20.7025

So X is bigger than 4.55 and smaller than 4.6, hence the answer rounded to the nearest tenth is 4.6

Answer:

Step-by-step explanation: Let x = 2, y = 5 and z=?

Here z is the unknown length.

here z is 4.6

Solve the system by substitution
4x+y=42
y=x+7

Answers

(7, 14)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

   Brackets

   Parenthesis

   Exponents

   Multiplication

   Division

   Addition

   Subtraction

   Left to Right

Equality Properties

Algebra I

   Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

4x + y = 42

y = x + 7

Step 2: Solve for x

Substitution

   Substitute in y:                    4x + (x + 7) = 42

   Combine like terms:           5x + 7 = 42

   Isolate x term:                     5x = 35

   Isolate x:                              x = 7

Step 3: Solve for y

   Define equation:                    y = x + 7

   Substitute in x:                       y = 7 + 7

   Add:                                        y = 14

A family has a $42,000 annual salary. Can they afford an $85,000 house with a $65,000 mortgage requiring payments of $720 per month, including principal, interest, taxes, and insurance?

Answers

Yes! they can afford an $85,000 house with a $65,000 mortgage requiring payments of $720 per month.

What is in a mortgage?

Principal, interest, taxes, and insurance make up the majority of mortgage payments. Your outstanding loan balance is reduced by the amount of the principal part. Borrowing money has a cost, which is interest.

Given data:

Annual Salary =$42,000

Cost =$85,000

Mortgage = $65000

Monthly Payment = $720

First Criterian : - Never Spend more than 2.5 times of your Annual Income.

2.5 * 42,000

= 105,000

it can be afforded.

Second Criterian : - Monthly Payment should not exceed Weekly Income

Monthly Payment = 720

Weekly earnings = 42000 / 52 weeks = 807

it can afforded.

Third Criterian : - monthly payment should not exceed 28% of monthly earnings.

Monthly payment = 720

Monthly earnings = 42,000 / 12 = 3500

28% * 3500

= 980

it can be afforded.

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Percent is unknown: a/b = ?/100?

Answers

The unknown value is [tex]\frac{a}{b} *100[/tex]

Let the unknown value is x

From the question, we have

a/b = x/100

[tex]x = \frac{a}{b} *100[/tex]

Percentage:

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed.

A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %. The ratio of the increased value to the original value, multiplied by 100, is the percentage increase formula. It is outlined as a percentage. Anything's value will increase if it is valued more, so will its proportion.

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The distance between some planets are given below
Planet Q 3.6 x 10^6 km form planet P
Planet R 1.6 x 10^7 km from planet P

Answers

The shortest distance between planet Q and planet R in standard form is given by

[tex]{1.64 \times 10}^{7} [/tex]

What is the shortest distance between Q and R?

QP =

[tex]3.6 \times {10}^{6} [/tex]

RP =

[tex]1.6 \times {10}^{7} [/tex]

Applying the Pythagorean Theorem

QR² = QP² + RP²

QP² =

[tex] {(3.6 \times {10}^{6} )}^{2} + {(1.6 \times {10}^{7} )}^{2} [/tex]

QP² =

[tex](12.96 \times {10}^{12} ) + (2.56 \times {10}^{14} )[/tex]

Rewriting the expression

QP² =

[tex](12.96 \times {10}^{12} ) + (256 \times {10}^{12} )[/tex]

QP² =

[tex] {268.96 × 10}^{12} [/tex]

Find the square root

QP =

[tex] \sqrt{{268.96 × 10}^{12} } [/tex]

QP =

[tex]{16.4 × 10}^{6} [/tex]

Also written as

QP =

[tex]{1.64 \times 10}^{7} [/tex]

In conclusion, the shortest distance between planet Q and planet R is

[tex]{1.64 \times 10}^{7} [/tex]

Complete question:

The distances between some planets are given below.

Planet Q is 3.6 x 10 to the power of 6 km from planet P.

Planet R is 1.6 x 10 to the power of 7 km from planet P.

Work out the shortest distance between

planet Q and planet R. Give your answer in standard form.

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2(x-7)² = 32? What are the solutions

Answers

Answer:

lmfa you answer my questions i recently posted ill answer yours.

Step-by-step explanation:

please tho

The correct solution is x=(+11 , +3)

Step-by-step solution:

2(x-7)²=32

⇒2(x-7)(x-7)=32

⇒(x-7)(x-7)=(32/2)

⇒(x-7)(x-7)=16

⇒(x-7)²=16

⇒[tex](x-7)=\sqrt{16}[/tex]

⇒(x-7) = ±4

⇒(x-7) = +4   or   ⇒(x-7) = -4

⇒x = +4+7   or   ⇒x = -4+7

⇒x = +11  or   ⇒x = +3

Therefore, the correct solution is x = (+11 , +3)

help me with this please​

Answers

We can use the distance formula to determine the side lengths of DEF.

D (3, -1)

E (7, -4)

F (4, -4)

DE --> √((7 - 3)^2 + (-4 - (-1))^2) = √(4^2 + (-3)^2) = √(16 + 9) = √25 = 5

DF --> √((4 - 3)^2 + (-4 - (-1))^2) = √(1^2 + (-3)^2) = √(1 + 9) = √10 ≈ 3.2

EF --> √((7 - 4)^2 + (-4 - (-4)^2) = √(3^2 + 0^2) = √9 = 3

Notice DEF is congruent to ABC because due to SSS (side-side-side) congruency; DE = AB, DF = AC, EF = BC. Because DEF and ABC are congruent, DEF and ABC must have congruent angles.

angleBAC = angleEDF = 34.7 degrees

angleACB = angleDFE = 108.4 degrees

angleCBA = angleFED = 36.9 degrees

pls help
first person gets brainliest

Answers

Answer: x = 85° ,   y =45°

Step-by-step explanation:

x + 95 = 180°

x = 180° - 95°

x = 85°

In a triangle,

50° + x + y = 180°

50° + 85° + y = 180°

135° + y = 180°

y = 45°

From the above given expression

x = 35°

y = 95°

In a straight line, the angle is 180°

given angles are  50° internal angle and 95° external angle

then   x + 50° + 95° = 180°

          x + 145° =  180°

          x = 180° - 145°

          x = 35°

so in a triangle total angle is 180°

then  50° + x + y = 180°

         50° + 35° + y 180°

         y = 180° - 85°

         y = 95°

 

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If m∠A is 50°, can you conclude that Line u and Line v are parallel? If so, provide a justification.

Answers

Answer:

yes, because 130 + 50 = 180 .

Step-by-step explanation:

If the degrees on the inside adds up to 180 then the lines are parallel.

Which table of values will generate this graph?

HELP!!!

Answers

Answer:

D

Step-by-step explanation:

The only point we see on the graph is (0, -4).

The only table that includes point (0, -4) is D

v+-8=-15 i need help

Answers

Answer:

- 7

Step-by-step explanation:

Take a look at the attachment...

Hope this helps! :)

What is an equation of the line that passes through the points (4, 8)(4,8) and (4, 3)(4,3)?

Answers

Answer:

x=4

Step-by-step explanation:

x=4 would go through 4,3 and 4,8 as 4 is a vertical line

What is the angle measure of YLA?

Answers

Measure of angle YLA in the given figure is 32°.

Given,

∠LYA = 21°

∠GLA = 32°

A is the incentre of the ΔPQR.

Therefore,

∠YLA = ∠GLA

∠LYA = ∠GYA

=> ∠YLA = 32

Hence, Measure of angle YLA in the given figure is 32°.

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Please help me answer these two questions on my statistics homework! Data is included in the attached Excel file, questions are shown in the screenshot.

Thank you!

Answers

1) The regression equation that predicts the dog's weight based on cups of food per day is of:

Weight = -29.7 + 22.93 x Consumption.

2) Each additional cup increases the estimated weight by 22.93 pounds.

How to find the equation of linear regression?

To obtain the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the problem.

The input and the output in the context of this problem are given as follows:

Input x: number of cups.Output y: weight.

The points are given on the spreadsheet, and inserting them into the calculator, the equation is given as follows:

Weight = -29.7 + 22.93 x Consumption.

Each additional cup increases the estimated weight by 22.93 pounds, because the slope of the linear function is of 22.93.

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The daily cost, y, of hiring a lawn service to work x hours mowing the grounds of a golf course can be

modeled using a linear function. The lawn service charges a fixed cost of $100, plus an additional cost of

$25 per hour. The lawn service works a maximum of 6 hours per day. For one day of work, what is the

range for this situation?

Answers

100 would be the range if I am correct.

ndicate in standard form the equation of the line passing through the given point and having the given slope, in the equation box below. D(5, –2) m = 2/5

Answers

Answer:

x - y = 3

Step-by-step explanation:

Answer:

2x - 5y = 20

Step-by-step explanation:

Standard form should look like:

Ax + By = C

and the numbers A,B, and C have to be whole numbers (actually integers, because negative is okay too except A has to be positive)

You have been given a point and the slope. There is a shortcut, fill-in-the-blank equation called point-slope that you can just fill in a point and the slope. Then we can change that equation into standard form.

Point-slope equation:

y - Y = m(x - X)

Fill in (5, -2), which is the (X, Y). 5 in place of X and -2 in place of Y. Fill in 2/5 for the m which is slope.

y - Y = m(x - X)

y - -2 = 2/5(x - 5)

simplify, and distribute.

y + 2 = 2/5x - 2

Multiply through by 5 to get rid of the fraction.

5y + 10 = 2x - 10

Subtract 10.

5y = 2x -20

Subtract 2x.

5y - 2x = -20

Rearrange the terms.

-2x + 5y = -20

Multiply through by -1 (because that A has to be positive)

2x - 5y = 20

The equation in standard form is:

2x - 5y = 20

can someone help with 7th grade math, it has to be in by tonight!! (simple interest homework)

Answers

By using the formula for simple interest, it can be calculated that-

7) Simple Interest = $24.75

   Amount =  $924.75

8) Simple Interest = $126.255

   Amount = $8543.255

9)   Simple Interest = $271.25

   Amount = $1821.25

10) Rate is 9.5%

11) Time is 4 years

12) Noah pays $6591 as interest on his car loan

What is simple interest?

Simple interest ( SI) is the interest earned on a certain principal at a certain rate over a certain period of time,

If P is the principal, rate is r %, time is t years,

SI = [tex]\frac{p \times r \times t}{100}[/tex]

Adding Principal and simple interest will give the amount

7) Principal = $900

   Rate = 11 %

  Time = 3 months = [tex]\frac{3}{12} = \frac{1}{4}[/tex] years

    Simple Interest = [tex]\frac{900 \times 11 \times 1}{100 \times 4}[/tex]

                              = [tex]\frac{99}{4}[/tex]

                              = $24.75

  Amount = $(900 + 24.75) = $924.75

8) Principal = $8417

   Rate = 18 %

   Time = 1 months = [tex]\frac{1}{12}[/tex] years

    Simple Interest = [tex]\frac{8417 \times 18 \times 1}{100 \times 12}[/tex]

                              = $126.255

   Amount = $(8417 + 126.255) = $8543.255

9)  Principal = $1550

  Rate = [tex]8\frac{3}{4}[/tex] % = [tex]\frac{35}{4}[/tex] %

  Time = 24 months = 2 years

    Simple Interest = [tex]\frac{1550 \times 35 \times 2}{100 \times 4}[/tex]

                              = $271.25

   Amount = $(1550 + 271.25) = $1821.25

10) Let the rate be r %

Principal = $7200

  Rate = r %

   Time = 15 months = [tex]\frac{15}{12} = \frac{5}{4}[/tex]  years

    Simple Interest = [tex]\frac{7200 \times r \times 5}{100 \times 4}[/tex]

                              = $90r

By the problem,

90r = 855

[tex]r = \frac{855}{90}[/tex]

r = 9.5%

11)  Let the time be t years

Principal = $4500

   Rate = 5.75 %

   Time = t years

    Simple Interest = [tex]\frac{4500 \times 5.75 \times t}{100 }[/tex]

                              = $258.75t

By the problem,

258.75t = 1035

t = 4 years

12) Cost of Noah's car = $25350

    Down payment = 20%

    Remaining cost = $([tex]25350 -\frac{20}{100}\times 25350}\\[/tex])

                                = $(25350 - 5070)

                                = $20280

Rate = 6.5%

Time = 5 years

Simple Interest = [tex]\frac{20280 \times 6.5 \times 5}{100}[/tex]

                          = $6591

13) Question 13 is incomplete

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A29-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 38 m Find the length of the shadow. If necessary, round your answer to the nearest tenth.

Answers

The length of the shadow to the nearest tenth is 24.6 metres.

How to find the length of the shadow?

A 29 metres tall building casts a shadow.  The distance from the top of the building to the tip of the shadow is 38 metres.

The length of the shadow can be calculated as follows;

The situation forms a right angle triangle.

Hence, the length of the shadow can be found using Pythagoras's theorem.

c² = a² + b²

38² - 29² = b²

1444 - 841 = b²

b²= 603

b = √603

b = 24.5560583156

b = 24.6 metres

Therefore,

length of the shadow = 24.6 metres.

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What is the range (spread) of the following set of numbers: [38, 39, 39, 40, 40, 40, 41, 41, 41,
42, 43, 44] *
06
07
12
44

Answers

Answer:

44 i think <333

Step-by-step explanation:

gabriel is bored and starts writing his name over and over again on his paper. what is the 1000th letter?

Answers

Answer:

'e'

Step-by-step explanation:

number of letter in his name: 7

number of times his name is written at the 1000th letter

= 1000/7 = 142 R 6

since there is a remainder of 6 letters after the previous complete set of his name, therefore the 1000th letter is the 6th letter of his name, and that is e

What are th roots of 3x^2+10=4x

Answers

The roots of the Quadratic Equation are

(2 + i√26)/3 and (2 - i√26)/3

Given, a quadratic equation i.e. 3x² + 10 = 4x

On simplifying, we get

3x² - 4x + 10 = 0

while checking the discriminant of the given quadratic equation, we get

D = b² - 4ac

D = (-4)² - 4(3)(10)

D = 16 -120

D = -104

i.e. D < 0.

So, the quadratic equation has imaginary roots

On applying quadratic formula, we get

x = (4 ± √(-104))/6

x = (4 ± i2√26)/6

x = (2 ± i√26)/3

Hence, the roots of the Quadratic Equation are

(2 + i√26)/3 and (2 - i√26)/3

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Solve the system of equations 2x + 5y = -9 and 3x + 4y = 4 by combining the
equations.
try
(2x
(3x
+ 5y =-9)
+ 4y = 4)
2x +5y = -9
3x +4y= 4
0x0y=

Answers

Answer:

You do it as solving by substitution.So first make x the subject of the formula in eqn1

substitute eqn1 into eqn two and solve After getting y substitute in the equation* and get x

The value of x and y in the system of equations are 8 and -5 respectively.

Given,

2x + 5y = -9

3x + 4y = 4

Now,

To solve the system of equation,

Let us make the coefficient of x same in both the equations to eliminate x.

2x +5y = -9

3x + 4y = 4

Multiply equation 1 with 3 and equation 2 with 2.

6x + 15y = -27

6x + 8y = 8

Now subtract both the equations,

7y = -35

y = -5

Now substitute y in equation,

2x + 5(-5) = -9

2x - 25 = -9

x = 8

Thus the system of equation solutions are x = 8 and y = -5.

Know more about system of equation,

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