f(x)= |2x+3|-5 G(x) = 7 find (f-g)(x)

the answer is d ( square root 3 )

tan = oposite / adjacent

tan 60° = √3 / 1

= √3

Answer:

x=7

Step-by-step explanation:

-2(x-4)+8=2(remove brackets by multiplying with -2)

-2x+8+8=2(group like terms and simply)

-2x=2-16(change side change sign)

-2x = -14(divide both sides by -2)

x=7

Answer:

The p-value of the test is of 0.1922 > 0.02, which means that there is not significant evidence to reject the null hypothesis, that is, there is not significant evidence to conclude that the proportion is of less than 40%.

Step-by-step explanation:

Test if the proportion is less than 40%:

At the null hypothesis, we test if the proportion is of at least 0.4, that is:

[tex]H_0: p \geq 0.4[/tex]

At the alternative hypothesis, we test if the proportion is of less than 0.4, that is:

[tex]H_1: p < 0.4[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.4 is tested at the null hypothesis:

This means that [tex]\mu = 0.4, \sigma = \sqrt{0.4*0.6}[/tex]

74 out of the 200 workers sampled said they would return to work

This means that [tex]n = 200, X = \frac{74}{200} = 0.37[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.37 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{200}}}[/tex]

[tex]z = -0.87[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.37, which is the p-value of z = -0.87.

Looking at the z-table, z = -0.87 has a p-value of 0.1922.

The p-value of the test is of 0.1922 > 0.02, which means that there is not significant evidence to reject the null hypothesis, that is, there is not significant evidence to conclude that the proportion is of less than 40%.

Answer:

Step-by-step explanation:

770

Answer:

• 1 container contains =55ml

• So 18 container contains

• 18ml multiply to 55 =

• 990 Answer.

Answer:

f(x) = log x - 1 --> (10, 0)

f(x) = -(log x - 2) --> (100, 0)

f(x) = log(- x - 2) --> (-3, 0)

f(x) = -log-(x-1) --> (0, 0)

Step-by-step explanation:

An x-intercept is the position where the value of y(in this case f(x)) is 0.

Let's start with the first equation:

f(x) = log x - 1

If f(x) is 0, we would get this equation:

0 = log x - 1

Now, we solve for x:

1 = log x

x = 10

This means the x-intercept is (10, 0).

f(x) = -(log x - 2)

Again, we can set f(x) to 0, and solve for x:

0 = -(log x - 2)

0 = log x - 2

2 = log x

x = 100

This means the x-intercept is (100, 0)

Same process applies for the third:

f(x) = log(- x - 2)

0 = log(- x - 2)

1 = -x - 2

3 = -x

x = -3

(-3, 0)

f(x) = -log-(x-1)

0 = -log-(x-1)

0 = log-(x-1)

1 = -(x-1)

1 = -x + 1

0 = -x

x = 0

(0, 0)

Answer:

0.4 = 40% probability that one die resulted in a 3.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

Outcomes for the dice:

For the pair of dice:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

So 36 total outcomes.

In this question:

Event A: Sum of 8

Event B: One dice resulting in 3.

Probability of a sum of 8:

These are the following desired outcomes:

(2,6), (3,5), (4,4), (5,3), (6,2)

5 outcomes out of 36, so:

[tex]P(A) = \frac{5}{36}[/tex]

Probability of a sum of 8 and one dice resulting in 3.

(3,5) or (5,3), so 2 outcomes out of 36, and:

[tex]P(A \cap B) = \frac{2}{36}[/tex]

Probability that one die resulted in a 3, given that the sum is 8:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{2}{36}}{\frac{5}{36}} = \frac{2}{5} = 0.4[/tex]

0.4 = 40% probability that one die resulted in a 3.

Answer:

The domain is the number of copies made (N)

The range is the is the total cost of the books (C)

The domain we know that they made 200 copies, so the domain would be 0-200.

The range would be:

C=10(200)+700

C=200+700

C=900

Range would be 700-900

9514 1404 393

Answer:

  B. 6

Step-by-step explanation:

The products of the lengths of the parts of the chord are the same.

  7×12 = 14x

  7(12)/14 = x = 6 . . . . . divide by 14

Answer:

Option (B)

Step-by-step explanation:

If two chords are intersecting each other at a point insides a circle,

"Product of the measures of the line segments on each chord are equal"

By this property,

MH × HY = TH × HN

By substituting the measures of each segment,

7 × 12 = 14 × ([tex]x[/tex])

[tex]x=\frac{84}{14}[/tex]

[tex]x=6[/tex]

Therefore, Option (B) will be the correct option.

Answer:

3x-z+9

Step-by-step explanation:

last option 3x+z+9 .........

Answer:

0.3333 = 33.33% probability that this red ball is from box A.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Red ball

Event B: From box A.

Probability of a red ball:

3/10 = 0.3 of 1/2 = 0.5(box A)

6/10 = 0.6 of 1/2 = 0.5(box B). So

[tex]P(A) = 0.3*0.5 + 0.6*0.5 = 0.45[/tex]

Probability of a red ball from box A:

0.3 of 0.5, so:

[tex]P(A \cap B) = 0.3*0.5 = 0.15[/tex]

What is the probability that this red ball is from box A?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.45} = 0.3333[/tex]

0.3333 = 33.33% probability that this red ball is from box A.

Answer:

Between 38 and 86 months.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].

In this question:

Mean of 62, standard deviation of 12.

Between what two lifetimes does Chebyshev's Theorem guarantee that we will find at least approximately 75% of the computers?

Within 2 standard deviations of the mean, so:

62 - 2*12 = 38

62 + 2*12 = 86

Between 38 and 86 months.

Answer:

3 x 2 = 6 years to get Rs. 1324

Step-by-step explanation:

This is a mathematical relationship that transcends currencies. In other words, it also applies to Dollars, Pounds and Yen.

“Annual compound interest” is a phrase of dubious meaning. The process is a “compound interest problem”, but the item I think you are looking for is simply the amount of interest.

Month 0: interest: 0 balance: 4,000

Month 6: interest; 200 balance: 4,200

Month 12: interest 210 balance: 4,410 12-month total interest: 410

Month 18: interest: 220.5 balance: 4,630.5 12-month total interest: 430.5

Month 24: interest: 231.525 balance: 4,862.025 12-month total interest: 452.025

Month 30: int: 243.10125 bal: 5,105.12625 12-month total int: 474.35125

Keep expanding this progression until the 12-month total interest meets or exceeds 1324, the answer will be the number of months in the last line.

Answer:

Step-by-step explanation:

Given function is,

h(x) = 1 - 2x

Domain of the function = {-3, -2, 1, 5}

For range of the function,

Substitute the values of 'x' in the function,

h(-3) = 1 - 2(-3)

       = 7

h(-2) = 1 - 2(-2)

       = 5

h(1) = 1 - 2(1)

     = -1

h(5) = 1 - 2(5)

      = -9

Therefore, set of range for the function will be {7, 5, -1, -9}

Now plot the ordered pairs,

(-3, 7), (-2, 5), (1, -1), (5, -9)

Answer:

24 and 45

Step-by-step explanation:

Okay, now that I can answer this question with the right answers:

The easy way to do this is to first solve the left hand side of the equation.

1/2 of 12 is the same as 12/2 = 6.

So 6 = 1/4 * x

To solve for that unknown x, just multiply both sides by 4 to cancel out the fraction:

6*4 = 4* 1/4*x

24 = x

For the other equation, do the same thing:

1/3 * 90 = 90/3 = 30

30 = 2/3*x

30*3 = 3* 2/3 *x

90 = 2x

90/2 = 2x/2

45 = x

Answer:

1)2400

is the result of rounding 2376.458 to the nearest 100.

2) 2376

is the result of rounding 2376.458 to the nearest integer.

3)2376.46

is the result of rounding 2376.458 to the nearest 0.01

I hope this is right and it helps !!!!!!!!!!!!!!!!

Answer:

1(2400)

2(2376)

3(2376.46)

Step-by-step explanation:

it's just your fraction skills

Answer:

1/2

Step-by-step explanation:

the legs and hypotenuse of the red triangle are double than the blue triangle

Answer:

the answer is

f=x×y

g=2(x+y)

Answer:

sin x° = opposite ÷ hypotenuse

Step-by-step explanation:

SOH - CAH - TOA

SOH: Sin(θ) = Opposite / Hypotenuse

CAH: Cos(θ) = Adjacent / Hypotenuse

TOA: Tan(θ) = Opposite / Adjacent

Answer:

last option

Step-by-step explanation:

Sin is opposite/negative

Answer:

[tex]f(x) = -4(x+7)(x+1)[/tex]

Step-by-step explanation:

Quadratic equation:

A quadratic equation, with roots(x-intercepts) at [tex]x_1[/tex] and [tex]x_2[/tex], and leading coefficient a, is given by:

[tex]f(x) = a(x - x_1)(x - x_2)[/tex]

Has x-intercepts of -7 and -1

So [tex]x_1 = -7, x_2 = -1[/tex]. Thus

[tex]f(x) = a(x - (-7))(x - (-1)) = a(x+7)(x+1)[/tex]

Passes through the point (-4,36).

This means that when [tex]x = -4, y = 36[/tex], and we use this to find the leading coefficient.

[tex]36 = a(-4+7)(-4+1)[/tex]

[tex]a(3)(-3) = 36[/tex]

[tex]-9a = 36[/tex]

[tex]a = -\frac{36}{9}[/tex]

[tex]a = -4[/tex]

So

[tex]f(x) = -4(x+7)(x+1)[/tex]

Answer:

V≈678.58cm³

Step-by-step explanation:

V=πr^2h/3=π·6^2·18/3≈678.58401cm³

Hope this helps! :D

Answer: -21

[tex]-3[5 - (-8 + 6)]\\=-3[5 - (-2)]\\=-3[5+2]\\=-3(7)\\=-21[/tex]

Answer:

-21

Step-by-step explanation:

-3[5 - (-8 + 6)]

Inner parentheses first

-3[5 - (-2)]

Then remaining parentheses

-3[5 +2]

-3(7)

Multiply

-21

Answer:

that's 4,188.8 if it's gonna be a 10cm sphere

Q) 145+ (-15) + (-188) = ?

→ 145+ (-15) + (-188)

→ {145 - 15} - 188

→ 130 - 188

→ -58 is the solution.

Answer:

y=-4x-6

Step-by-step explanation:

It jwust is mwannn

Answer:

x = 5

Step-by-step explanation:

I'm taking all bases as b so not typing it

2/3 log 125 = log (125^2/3) = log 25

1/2 log 9 = log (9^1/2) = log 3

So we can rewrite the equation as,

log x = log 25 + log 3 - log 15

or, log x = log (25×3) - log 15

or, log x = log 75 - log 15

or, log x = log (75/15)

or, log x = log 5

or, x = 5

Answered by GAUTHMATH

Answer: 20 ft × 12.5 ft

Step-by-step explanation:

Since 1 cm = 2.5 ft,

Therefore, 8 cm × 5 cm = 20 ft × 12.5 ft

Given

e ˣʸ = sec(x ²)

take the derivative of both sides:

d/dx [e ˣʸ] = d/dx [sec(x ²)]

Use the chain rule:

e ˣʸ d/dx [xy] = sec(x ²) tan(x ²) d/dx [x ²]

Use the product rule on the left, and the power rule on the right:

e ˣʸ (x dy/dx + y) = sec(x ²) tan(x ²) (2x)

Solve for dy/dx :

e ˣʸ (x dy/dx + y) = 2x sec(x ²) tan(x ²)

x dy/dx + y = 2x e ⁻ˣʸ sec(x ²) tan(x ²)

x dy/dx = 2x e ⁻ˣʸ sec(x ²) tan(x ²) - y

dy/dx = 2e ⁻ˣʸ sec(x ²) tan(x ²) - y/x

Since e ˣʸ = sec(x ²), we simplify further to get

dy/dx = 2 tan(x ²) - y/x

Answer:

Step-by-step explanation:

f(n) = 8 + 3(n) - 3

f(n) = 5 + 3n

f(1) = 5 + 3(1)

f(1) = 8

f(2) = 5 + 3(2)

f(2) = 5  + 6

f(2) = 11

f(3) = 5 + 3*3

f(3) = 14

f(4) = 5 + 3*4

f(4) = 17