The number of birdhouses Ben can make varies directly with the amount of time he spends making the birdhouses. He can make 4 birdhouses in 1 1/2 hours. How many birdhouses can he make in 9 hours?

Answer:

the population means are known the population variances are assumed equal but unknown

Step-by-step explanation:

If σ1= σ2  (= σ)  but unknown , then the biased pooled or combined estimate of the common variance σ² ( the term common variance means that each population has the same variance ) is given by

Sp²= (n1-1) s1² + (n2-1) s2²/ n1+ n2- 2

So first assumption is correct.

When the population variances are assumed unequal and unknown

If σ1 ≠ σ2    but unknown

we use the sample estimates s1 and s2 to compute the standard error of the difference between the means.

S(x1`- x2`) = √s1²/ n1 + s2²/n2

So this is does not apply here.

Original price = 3300

sale = 20% = 3300×20/100 = 660

Selling price= 3300-660= 2640 rs

the sale price of the bicycle is 2640 Rs

The experimental probability of an even number other than 8 being generated is, 0.44

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

Total number of numbers = 300

Number of even numbers = 154

Number of eight = 22

Hence, Number of even numbers other than 8 is,

154 - 22 = 132

Thus, Probability is,

= [number of even numbers other than eight] / [total number of numbers]

= 132/300

= 0.44

Thus, The experimental probability of an even number other than 8 being generated is, 0.44

Learn more about the probability visit:

https://brainly.com/question/13604758

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Answer:

Option C: (3*x)^2 = 324

Step-by-step explanation:

Janene is solving the equation:

Log₃ₓ(324) = 2

First, some rules we need to remember:

Logₙ(x) = Ln(x)/Ln(n)

and:

Ln(x^b) = b*Ln(x)

So we can rewrite our expression as:

Log₃ₓ(324) = Ln(324)/Ln(3*x) = 2

Ln(324) = 2*Ln(3*x)

Now we can use the second property:

Ln(324) = 2*Ln(3*x) = Ln( (3*x)^2 )

The arguments in both sides must be the same thing, then:

324 = (3*x)^2

This is the exponential equation she needs to solve.

Then the correct option is C.

Answer:

Step-by-step explanation:

Hope this helps u!!

Answer:

x=+[tex]\frac{\sqrt{4y-7}-1 }{2}[/tex]

Step-by-step explanation:

Quadratic function =( -b+[tex]\sqrt{b^2+4ac}[/tex]  )/2a

x^2+x+2-y=0

x=-1+[tex]\sqrt{1^2-4(2-y)}[/tex] /2

x=-1+[tex]\sqrt{4y-7}[/tex] /2

x=+ [tex]\frac{\sqrt{4y-7}-1 }{2}[/tex]

Pretty sure this is right. Would appreciate a brainliest

========================================

Explanation:

distance = rate*time

90 = r*t

where r is the slower speed and t is the time it takes when going that slower speed.

If r is bumped up 24 mph faster, to r+24, then Santos takes t-12 hours to get there. The second equation is

90 = (r+24)(t-12)

-------------------------------------

We can solve the first equation for r to get r = 90/t

Then plug this into the second equation and do a bit of algebra

90 = (r+24)(t-12)

90 = (90/t+24)*(t-12)

90 = 90 - 1080/t + 24t - 288

90t = 90t - 1080 + 24t^2 - 288t

0 = 90t - 1080 + 24t^2 - 288t-90t

0 = 24t^2 - 288t - 1080

24t^2 - 288t - 1080 = 0

If you apply the quadratic formula, then you should get the two solutions t = -3 and t = 15. Due to time constraints, I'll skip these steps.

We'll ignore the negative t value. It makes no sense to have a negative time.

So we focus on t = 15 as the only solution.

-------------------------------------

If t = 15, then,

r = 90/t

r = 90/15

r = 6

Santos rode his bike at 6 mph at first. Going this speed means he takes 15 hours.

If he rode 24 mph faster, at 6+24 = 30 mph, then he would ride for 15-12 = 3 hours instead. Note that 90/30 = 3.

9514 1404 393

Answer:

  19.6 in²

Step-by-step explanation:

The area in terms of the diameter is given by ...

  A = (π/4)d²

  A = π/4(5 in)² = 25π/4 in² ≈ 19.6 in²

Answer:

$27-$15

= $12

$3 per hour

$12÷$3

=4 hours

Jessica rent the bike for 4 hours.

Answer:

Step-by-step explanation:

take angle x as reference angle

using sin rule

sin x=opposite/hypotenuse

sin x=11/13

sin x=0.846

x=sin 57.8

x=57.8 degree

Answer:

answer in photo

hope this helps :)

Step-by-step explanation:

Answer:

348  US and 294 Foreign

Step-by-step explanation:

642 - 54 = 588

588 /2= 294

294+54=348

Answer: [tex]10.8\ ft[/tex]

Step-by-step explanation:

Given

A model car is built with a scale of 1 inch: 4 feet

If the length of the model car is 2.7 inches

Suppose the length of the car is l

[tex]\therefore \dfrac{1}{4}=\dfrac{2.7}{l}\\\\\Rightarrow l=2.7\times 4\\\Rightarrow l=10.8\ ft[/tex]

Therefore, the length of the car is [tex]10.8\ ft[/tex]

Answer:

Around 140

Step-by-step explanation:

It's over 90 degree angle

Answer:

Height of parallelogram = 30 meter

Step-by-step explanation:

Given:

Area of parallelogram = 570 square meters

Find:

Height of parallelogram

Computation:

Base of parallelogram = 19 meter

Area of parallelogram = Base of parallelogram x Height of parallelogram

570 = 19 x Height of parallelogram

Height of parallelogram = 570 / 19

Height of parallelogram = 30 meter

Hi there!  

»»————-　★　————-««

I believe your answer is:

"1. Two less than seven times a number equals thirty-three."

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Breaking the equation down:}}\\\\7x-2=33\\-------\\\rightarrow \text{'7x' - Seven times a number. The unknown value is 'x'.}\\\\\rightarrow \text{' - 2' - Minus 2.}\\\\\rightarrow \text{'= 33' - Equals 33.}\\---------\\\text{The phrase "'X' less than 'Y'" indicates:}\\\\Y - X \\---------\\\text{Two less than 7 times a number would be:}\\\\\boxed{7x - 2}[/tex]

⸻⸻⸻⸻

The first statement should be the appropriate statement for the given equation.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

c

Step-by-step explanation:

Answer:

D, a sentence that includes only one independent clause

Step-by-step explanation:

A compound-complex sentence has two independent clauses, and 1 or more dependent clauses. A compound sentence has two independent clauses, and is connected by a conjunction.

This isn't a math question but idrc

2.897

This should be you're anwser.

Answer:

B) -3

Step-by-step explanation:

The coefficient is the numerical value placed before and multiplying the variable (x).

Answer:

-3

Step-by-step explanation:

that's answer

hope it helps

Answer:

Between 0 and 3: decreasing

Between 3 and 4: constant (stays the same)

Between 4 and 8: decreasing

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

you have to dived 3/4 by 3/8= 24/12=2

Answer:

x=28

Step-by-step explanation:

[tex]\huge\bold{To\:find:}[/tex]

✎ The value of [tex]x[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\purple{The\:value\:of\:x\:is\:28°. }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Since it is right-angle,

[tex]Sum \: of \: angles \: = 90° \\ ⇢ (2x + 1) + 33 ° = 90° \\ ⇢2x + 34° = 90° \\ ⇢2x = 90° - 34° \\⇢ 2x = 56° \\⇢ x = \frac{56° }{2} \\ ⇢x = 28° [/tex]

[tex]\sf\blue{Therefore,\:the\:value\:of\:x\:is\:28°.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex](2x + 1) + 33° = 90° \\ ➡ \: 2 \times 28° + 1 + 33° = 90° \\ ➡ \: 56° + 34° = 90° \\ ➡ \: 90° = 90° \\ ➡ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Step-by-step explanation:

X=7 or x=5

It might be two answer to this question

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{(x - 7) (x - 5)}[/tex]

[tex]\large\text{DISTRIBUTE each of the numbers}[/tex]

[tex]\large\textsf{x(x) + (-5)x + (-7(x) + (-7)(-5)}[/tex]

[tex]\large\textsf{x(x) = \bf x}\bf ^2[/tex]

[tex]\large\textsf{x(-5) = \bf -5x}[/tex]

[tex]\large\textsf{-7(x) = \bf -7x}[/tex]

[tex]\large\textsf{(-7)(-5) = \bf 35}[/tex]

[tex]\mathsf{x^2 - 5x -7x + 35}[/tex]

[tex]\large\text{COMBINE the LIKE TERMS}[/tex]

[tex]\mathsf{x^2 -(5x - 7x) + 35}[/tex]

[tex]\mathsf{-5x -7x = \bf -12x}[/tex]

[tex]\mathsf{x^2 - 12x + 35}[/tex]

[tex]\boxed{\huge\text{Answer: \bf x}^2 \huge\text{\bf - 12x + 35}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitirite1040:)}[/tex]

Answer:

b) y=60x + 100

Step-by-step explanation:

Answer:

A = 7

Step-by-step explanation:

√50 = 7.07

approximating it will give you

= 7

Answer:

56

Step-by-step explanation:

Simple just move the semicircle into the empty spot and there you go.