Please help me with this 30 points

Answer:

t = ±10

Step-by-step explanation:

after using the FOIL method you have the following:

490 + 49t - 49t - 4.9t²

middle two terms zero out

h(t)= -4.9t² + 490

if you multiply by -10 you can get perfect squares

h(t) = 49t² - 4900 which has two factors:  (7t + 70)(7t - 70)

now set each factor equal to zero and solve:

7t + 70 = 0                      

7t = -70

t = -10

7t - 70 = 0                      

7t = 70

t = 10

Answer:

Step-by-step explanation:jk

Answer:

10

Step-by-step explanation:

Answer:

D

PLZ MARK AS BRAINLIEST

Step-by-step explanation:

FIRST STEP:

4*3 =12

6.5*3 =19.5

SECOND STEP:

21*12*19.5 =4914

Answer:

D

Step-by-step explanation:

i solved it

Answer:

Step-by-step explanation:

what are the vocabulary words that u are supposed to use?

Answer:

4

Step-by-step explanation:

so you start with the number -2 and than you add 6 because your multiplying the 2 subtraction symbols to get a positive so your answer would be 4

Answer:

A. 10 B. 15

Step-by-step explanation:

A. 25/1 * 2/5= 50/5

reduced it is 10

B. 25-10=15

Answer:

she brought 10 shells to her classroom and 15 shells to her house. Hope that helps!

Answer:

a) 0.0005 = 0.05% probability that an automotive light has two or more defective bulbs.

b) 4000 automotive lights.

Step-by-step explanation:

For each LED, there are only two possible outcomes. Either it is defective, or it is not. Defective bulbs occur independently, which means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

An array of 30 LED bulbs is used in an automotive light. The probability that a bulb is defective is 0.001.

This means that, respectively, [tex]n = 30, p = 0.001[/tex].

a. Probability that an automotive light has two or more defective bulbs.

This is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{30,0}.(0.001)^{0}.(0.999)^{30} = 0.9704[/tex]

[tex]P(X = 1) = C_{30,1}.(0.001)^{1}.(0.999)^{29} = 0.0291[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.9704 + 0.0291 = 0.9995[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9995 = 0.0005[/tex]

0.0005 = 0.05% probability that an automotive light has two or more defective bulbs.

b. Expected number of automotive lights to check to obtain one with two or more defective bulbs.

0.0005 = 0.05% probability that an automotive light has two or more defective bulbs.

The number of expected trials to obtain n successes with p probability is given by:

[tex]E = \frac{n}{p}[/tex]

In this case, we have that [tex]n = 2, p = 0.0005[/tex]. So

[tex]E = \frac{n}{p} = \frac{2}{0.0005} = 4000[/tex]

4000 automotive lights.

Answer:

Model the problem with algebra tiles. Then use the model to write an algebraic expression that represents the situation.

Cammie ran three times as far.

The situation can be modeled with algebra tiles by  

✔ three orange x tiles

.

The situation can be represented as an algebraic expression as  

✔ 3x

.

Step-by-step explanation:

Hope this helps!!

ig- crochetsbyandrea

Answer:

1 three orange x tiles

2 3x

Step-by-step explanation:

Answer:

Step-by-step explanation:

A. She can cut 4 pieces that are 8.25 feet each.   This uses all 33 feet of ribbon with no waste.

B. She can cut 5 pieces that are 6.6 feet each.   This uses all 33 feet of ribbon with no waste.

C. She can cut 4 pieces that are 8 feet each.   This adds up to 32 feet, and so 1 ft is wasted

D. She can cut 5 pieces that are 6.75 feet each.  Not possible, as this adds up to 33.75 ft, which is more ribbon than Betty has.

Answer: Oh no... Anyway's wanna ask me a question about sex ed?

Step-by-step explanation: x=495

,P=241,525

Step-by-step explanation:

Given that

Profit=Total revenue - total cost

P= R -C

Also given that

So

Above equation is the total profit in terms if x.

Now to find maximum value of P we have to differentiate above equation with respect to x

So

⇒x=495

So total profit at x=445  ,P=241,525

Answer:

The profit function is:

[tex]P(x)=-x^2+1280x-3300[/tex]

The maximum value is 406, 300 occurring when x = 640.

Step-by-step explanation:

The revenue function is:

[tex]R(x)=1300x-x^2[/tex]

And the cost function is:

[tex]C(x)=3300+20x[/tex]

Then the total profit function will be:

[tex]P(x)=R(x)-C(x)=(1300x-x^2)-(3300+20x)=-x^2+1280x-3300[/tex]

This is a quadratic function.

Therefore, the maximum value of the total profit will occur at its vertex point.

The vertex of a quadratic is given by:

[tex]\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)[/tex]

In this case, a = -1, b = 1280, and c = -3300.

Then the point at which the maximum profit occurs is at:

[tex]\displaystyle x=-\frac{1280}{2(-1)}=640[/tex]

And the maximum profit will be:

[tex]P(640)=-(640)^2+1280(640)-3300=406300[/tex]

Answer:

B) -3x=4y-6

Step-by-step explanation:

(-2,-3); x= -2 and y= -3

B) -3x=4y-6

-3x= 4(-3) - 6= -12-6= -18

x= -18/-3=6... wrong

Answer:

-40

Step-by-step explanation:

This is because she LOST 40 dimes making it a negative number, so the integer to represent this would be -40.

Answer:



Let 'x' represent the height of the statue.

1 ft = 0.3048 m

5.5 ft = 5.5*0.3048 m

Using the similar triangles we can write:

x : 3 = 12 : (5.5*0.3048)

x = 21.47 m

The statue is 21.47 meters tall

Answer:

a) The standard deviation of this sampling distribution is 2.07.

b) The missing number is 4.14.

c) The 95% confidence interval for the population mean score μ based on this one sample is between 267.86 and 276.14.

Step-by-step explanation:

To solve this question, we need to understand the Empirical Rule and the Central Limit Theorem.

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

Central Limit Theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

[tex]\mu = 272, n = 840, \sigma = 60[/tex]

(a) If we take many samples, the sample mean x⎯⎯⎯ varies from sample to sample according to a Normal distribution with mean equal to the unknown mean score μ in the population. What is the standard deviation of this sampling distribution?

Using the Central Limit Theorem:

[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{60}{\sqrt{840}} = 2.07[/tex]

The standard deviation of this sampling distribution is 2.07.

(b) According to the 95 part of the 68-95-99.7 rule, 95% of all values of x⎯⎯⎯ fall within _______ on either side of the unknown mean μ. What is the missing number?

Within 2 standard deviations of the mean.

So, 2*2.07 = 4.14

The missing number is 4.14.

(c) What is the 95% confidence interval for the population mean score μ based on this one sample?

Within 4.14 of the mean

272 - 4.14 = 267.86

272 + 4.14 = 276.14

The 95% confidence interval for the population mean score μ based on this one sample is between 267.86 and 276.14.

Answer:

Your slope would be: -5

Step-by-step explanation:

First we need to format it into a linear equation which is: y= mx+b

y+5= (x+3)

and than minus 5 on each side to get:

y=(x+3)-5

than use distributive property to get:

y= -5x+-15

your slope would be:

-5

and than you can get any coordinates from the line if you graph the line on the site "desmos" so just use that site :)

hope it helps!

Answer:

11 ! have a great dayy:) !

Answer:

If there are 10 students taking only chemistry, 9 students taking only physics, and 5 students only taking both chemisty and 16 students are taking neither; I would add 10+9+5+16=40 (total students) and divide 10/40 (25% chemistry) 9/40 (22.5% physics) 5/40 (12.5% both) 16/40 (40% neither)

Step-by-step explanation:

1. Determine a single event with a single outcome.

2. Identify the total number of outcomes that can occur.

3. Divide the number of events by the number of possible outcomes.

Answer:

3/5

Step-by-step explanation:

Answer:

b).$1.340,00

Step-by-step explanation:

Sana po makatulong ako sayo..

Answer: B) (-4,5)

Step-by-step explanation:

Begin the problem by solving for y with the second equation. Add -4x to both sides of the equation so it reads y=4x+21. Then, substitute y into the first equation and solve. -2x-3(4x+21)=-7 turns into -14x-63=-7, which becomes -14x=56. Divide 56/-14 to get -4 for x. Since only one answer has -4 as an option for x, that's the correct answer.

Answer:

Step-by-step explanation:

400×1.2⁷ ≅ 1433 mice

Answer:

Is that 11/3 because of rise over run??? I'm not sure

Answer:

See answer below

Step-by-step explanation:

For the first expression

3 x (x - 2) + 2 = 3 x^2 - 6 x + 2

evaluated at x= 4 we get: 26

and for x = 5 we get 47.

For the second expression

2 x^2 + 3 x - 18

we get the exact same values when doing the evaluation at these two points.

Based on those results, one may think the expressions may be equivalent, but they are not equivalent. Because at any other x-value, their results are different. See for example that for x = 0 the first one gives "2" while the second one gives -18.

Answer:

5x - 8 < 37

Step-by-step explanation:

I'm so sorry if this is wrong

Answer:

Mean of M = 0.794

Standard Error = 0.013875

Step-by-step explanation:

Given that :

Sample size, n = 64

Mean percentage accuracy, μ = 0.794

Standard deviation, σ = 0.1110

Since the distribution of scores is normal ;

Sample mean, m ~ μ

Hence, m ~ 0.794

The sample sta dard deviation of standard error ~ σ/sqrt(n)

Standard Error = 0.1110 / sqrt(64)

Standard Error = 0.1110 / 8

Standard Error = 0.013875

Step-by-step explanation:

hope it help:)

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The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the ramp is equal to 10ft.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

The length of the ramp is,

Cos(θ) = Base/Hypotenuse

Cos(30°) = 9ft /The length of the ramp

The length of the ramp = 9ft/Cos(30°)

Length of the ramp = 10.3923 ft ≈ 10ft

Hence, the length of the ramp is equal to 10ft.

Learn more about Trigonometric functions:

https://brainly.com/question/6904750

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Answer:

A) 4596.96

B) 4511.16

Step-by-step explanation:

Wilbert should choose option B. The savings will be $85.8 for the loan.

The sum you borrow to purchase the home is known as the amount borrowed. Because most lenders don't always offer 100% financing, it usually differs from the purchase price.

It's also crucial to take the loan-to-value ratio into account. Lenders frequently discuss this value, which compared the loan amount with the purchase price.

Checking for 4 years at 4.5% interest with monthly payments of $95.77

4596.96-4200=396.96

Checking for 3 years at 4.7% interest with monthly payments of $125.31

396.96-311.16=85.8

Therefore, Wilbert should choose option B. The savings will be $85.8 for the loan.

To know more about the Loan amount follow

https://brainly.com/question/26011426

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Answer:

He will earn $6 in interest in 9 months.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

Initial deposit of $400.

This means that [tex]P = 400[/tex]

2% annual interest

This means that [tex]I = 0.02[/tex]

How much interest will he earn in 9 months?

An year has 12 months, this means that [tex]t = \frac{9}{12} = \frac{3}{4} = 0.75[/tex]

This is E. So

[tex]E = P*I*t = 400*0.02*0.75 = 6[/tex]

He will earn $6 in interest in 9 months.