Select all the values that are equivalent to the given expression. Help pls

Answer:

a) 0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day.

b) 0.5989 = 59.89% probability that it actually rains on the day of the wedding

Step-by-step explanation:

Conditional Probability

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

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

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

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

A. What is the probability that the meteorologist predicts that it rains on a given summer day?

80% of 25/92(prediction of rain, and rained).

20% of 67/92(prediction of rain, did not rain). So

\(P = \frac{0.8*25}{92} + \frac{0.2*67}{92} = 0.3630\)

0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day.

B. Given that the meteorologist predicted rain, what is the probability that it actually rains on the day of the wedding?

Conditional Probability, in which:

Event A: prediction of rain

Event B: rain

0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day, which means that \(P(A) = 0.3630\)

Rain and prediction of rain:

80% of 25/92. So

\(P(A \cap B) = \frac{0.8*25}{92} = 0.2174\)

The desired probability is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2174}{0.3630} = 0.5989\)

0.5989 = 59.89% probability that it actually rains on the day of the wedding

Answer:

1/7

Step-by-step explanation:

Given series :-

To find :-

From the Series , the common ratio will be ,

⇝ CR = -2/25 ÷ 1/5

⇝ CR = -2/25 × 5

⇝ CR = -2/5

Using formula of GP :-

⇝ S_∞ = a /1 - r , -1 < r < 1

⇝ S = 1/5 ÷ ( 1 - (-2/5))

⇝ S = 1/5 ÷ ( 1 +2/5)

⇝ S = 1/5 ÷ 5/7

⇝ S= 1/7

Answer:

Step-by-step explanation:

The value of f(x) when x is 3 is 15

A Function in mathematics is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

For example, if f(x) = x² +2x +5 , the value of f(x) when x is 2 is calculated as;

f(x) = 2² + 2(2) + 5

f(x) = 4 +4+5

= 13

This done by substituting the given value of x into the expression.

Similarly , if f(x) = 5x, the value of f(x) when x is 3 is calculated as;

f(x) = 5(3)

f(x) = 15

therefore the value of f(x) when x is 3 is 15

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Answer:

All you have to do is write how you feel about this it's simple :|

Step-by-step explanation:

The result of the division in ordinary decimal notation is 300.

Scientific notation, also known as standard form or exponential notation, is a method of expressing very large or very small numbers in a compact and standardized way.

To perform the indicated operation, we need to divide 0.00036 by 0.0000012.

First, let's express both numbers in scientific notation

0.00036 = 3.6 x 10^(-4)

0.0000012 = 1.2 x 10^(-6)

Now we can divide the two numbers and simplify

3.6 x 10^(-4) / 1.2 x 10^(-6) = (3.6 / 1.2) x 10^(-4-(-6)) = 3 x 10^(2)

Finally, we can convert this result back to ordinary decimal notation

3 x 10^(2) = 300

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The given question is incomplete, the complete question is:

Convert each number to scientific notation and perform the indicated operations. Express the result in ordinary decimal notation. 0.00036/0.0000012

Answer:

here is not much information

Step-by-step explanation:

To calculate Tebogo's total cost per month, we need to consider the cost of blankets, delivery fee, and rent for selling space.

Cost of blankets:

Tebogo buys blankets from the wholesaler at R60 per blanket. Since he is restricted to 50 blankets per month, the cost of blankets is calculated as follows:

Cost of blankets = R60 per blanket x 50 blankets = R3000

Monthly delivery fee:

Tebogo incurs a monthly delivery fee of R120.

Rent for selling space:

The rent for selling space is not provided in the given information. To calculate the total cost per month, we would need the specific amount for rent.

To determine the total cost per month, we can sum up the costs:

Total cost per month = Cost of blankets + Monthly delivery fee + Rent for selling space

However, since the rent for selling space is not provided, we cannot calculate the exact total cost per month without that information.

Answer:

The choice C.

\(1 \frac{7}{18} \)

Step-by-step explanation:

\( \frac{2}{9} + \frac{1}{3} + \frac{5}{6} \\ \\ \frac{4}{18} + \frac{6}{18} + \frac{15}{18} = \frac{25}{18} = 1 \frac{7}{18} \)

Answer:

a) [-9,8)

b) [-5,5]

c) (-4,0), (1,6)

d) [-9,-4), (6,8)

e) [0,1]

f) just the y-value: 5;  as a point: (-8,5)

g) just the y-value: -5;  as a point: (-4,-5)

Step-by-step explanation:

a) Domain is all of the x-values that are defined in the function. The smallest x-value in the graph is -9, and the largest is 8. And all values in between are defined (have corresponding y-values). But notice that there's an open dot on (8,0).

b) Range is found the same way as Domain, but with the y-values. The smallest y-value of this function is -5, and the largest is 5.

For c-e, notice where the graph changes direction and draw a vertical line from the x-axis through the turning point. These lines are the boundaries between intervals of increasing/decreasing/constant. You should have vertical lines at x=-4, x=0, x=1, and x=6.

c) Interval(s) on which f(x) is increasing: Reading the graph from Left To Right, between which vertical lines is the graph going up?

d) Interval(s) on which f(x) is decreasing: Reading the graph from Left To Right, between which vertical lines is the graph going down?

e) Interval(s) on which f(x) is constant: Reading the graph from Left To Right, between which vertical lines is the graph staying flat?

f) Look for the highest non-infinity point on the graph

g) Look for the lowest non-infinity point on the graph

Answer:

Mason is left with 54.7 pounds of apples

The measure of angle DEF is 37 degrees.

What is chord in circle

In geometry, a chord is a straight line segment that connects two points on the circumference of a circle. More specifically, a chord of a circle is a line segment whose endpoints lie on the circle.

Every circle has infinitely many chords, but some of the most commonly discussed chords are the diameter (a chord that passes through the center of the circle), and the secant (a chord that intersects the circle at two distinct points).

Chords play an important role in geometry, as they can be used to determine various properties of circles, such as their radius, diameter, and area.

Since G is the center of the circle, the angle DGE is a central angle of the circle.

Therefore, the angle DGE is equal to twice the inscribed angle DEF that subtends the same arc DE.

Let x be the measure of angle DEF. Then, we have:

2x = 74

x = 37

Hence, the measure of angle DEF is 37 degrees.

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Answer:

Domain is the X values, Y is the range Values

Step-by-step explanation:

(0,0) both domain and range is 0

(4,-1)  4 is the domain, -1 is the range

(1,5) 1 is the domain, 5 is the range

(-2,-4) -2 is the domain, -4 is the range

(-5,-1) -5 is the domain, -1 is the range

(-5,3) -5 is the domain, 3 is the range

(sorry if this is not the thing you are looking for but this is what I know)

Answer:

Domain: \(4\leq x\leq -5\)

Range: \(-1\leq y\leq 3\)

Step-by-step explanation:

In a relation, WE CAN IDENTIFY THE DOMAIN AND RANGE by looking at the points.

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The transformations that map the strip pattern onto itself is a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°. Option A is the correct option.

Here, we have,

the conditions for mapping the strip transformation pattern onto itself:

The strip pattern can be mapped onto itself in two different ways.

The first way is to translate the strip pattern horizontally and then rotate it by 180° degrees.

The second way is to reflect the strip pattern across a vertical line.

Hence, the transformations that map the strip pattern onto itself can be achieved through a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°.

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complete question:

Which transformations map the strip pattern onto itself?

a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°

a horizontal translation only

a horizontal translation, a reflection across a horizontal line, and a glide reflection only

a horizontal translation and a 180° rotation only

Assuming money be invested at 4% per year compounded annually and based on the present values of the two payments, it would be better to choose paying Rs. 120,000 at the end of 9 years.

The present value of an investment is the future value discounted to the present at a compounded interest rate.

The formula for finding the present value is PV = FV x 1/(1+r)^n.

Where:

PV = present value

FV = future value

r = rate of return

{n} = number of periods.

We can also determine the present value using an online finance calculator as follows:

N (# of periods) = 4 years

I/Y (Interest per year) = 4%

PMT (Periodic Payment) = $0

FV (Future Value) = Rs. 100,000

Results:

Present Value (PV) = Rs. 85,480.42

Total Interest = Rs. 14,519.58

N (# of periods) = 9 years

I/Y (Interest per year) = 4%

PMT (Periodic Payment) = 0

FV (Future Value) = Rs. 120,000

Results:

Present Value (PV) = Rs. 84,310.41

Total Interest = Rs. 35,689.59

Thus, comparing the present values of the two payments shows that Mrs. Gurune should choose the payment of Rs. 120,000 at the end of 9 years.

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Step-by-step explanation:

so, we calculate the perpendicular slope, and then we start with the point-slope form (since we were given a specific point of the line), and transform into the regular slope-intercept form.

the slope in

y = 2x + 2

is the factor of x : 2 or 2/1

the perpendicular slope is turning this upside down and flips the sign : -1/2

the point- slope form is

y - y1 = a(x - x1)

"a" being the slope, (x1, y1) being the point.

y - 9 = -1/2(x - -2)

y - 9 = (-1/2)x - 1

y = (-1/2)x + 8

Answer: No

Step-by-step explanation:

The value of the function when x=3 is approximately 18.83.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

We are given that;

The function

Now,

we need to substitute x=3 into the function and simplify it. We get:

3(3)−1​+(1+3)2

=8​+16

≈2.83+16

=4

Therefore, by the given function answer will be 4.

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Answer:

x > -4.

Step-by-step explanation:

Solving for x by dividing -3 to both side leaving x by itself.

When dividing or multiplying a negative value that has a variable the inequality switches sides. Instead of x < -4 it is x > -4. For more information or to understand inequality search for inequality video online.

Answer:

The sample size used to construct this interval cannot be determined from the information given.

9514 1404 393

Answer:

  (a)  145

Step-by-step explanation:

The measure of the angle marked x° is half the sum of the intercepted arcs:

  (90° +200°)/2 = x° = 145°

Answer:

2/6

Step-by-step explanation:

The eqaution of the tangent at the point x = -1 is:

To solve this, first, we need to find the value of y when x = -1:

Then we want to find the equation of the tangent at the point (-1, 4)

The next step is to find the derivative of the equation, because the derivative thell us the slope of the tangent line at a certain point:

Now that we have the derivative, let's calculate the slope of the tangent like in the point (-1, 4). To do this, we evaluate the derivative in x = -1:

The slope of the tangent line is -12.

Now we have all the necessary things to construct the equation of a line: we have the slope (-12) and a point (-1, 4).

The slope-point form of a line is:

Where m is the slope and x0, y0 are the x and y coordinates of a point

Then:

And that's the equation of the line y = -12x - 8

Answer:

C) 0

brainliest plz

The value of t on solving the equations r + t = r and r − t = − s is 0 and s + r so, option C is correct.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given:

r + t = r and r − t = − s

Calculate the value of t  as shown below,

t = r - r   (Transform the equation as shown)

t = 0

-t = -s - r

t = s + r

Thus, the value of t can be 0 and s + r.

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Answer: $30.92

Step-by-step explanation:

It took Ringani 2.8 years  to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.

To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount

P is the principal amount (initial deposit)

r is the interest rate (in decimal form)

n is the number of times the interest is compounded per year

t is the time in years

In this case, we have:

P = R8,500.00

A = R30,000.00

r = 7.04% = 0.0704 (in decimal form)

n = 1 (compounded annually)

We want to find the value of t.

Using the formula, we can rearrange it to solve for t:

t = (log(A/P)) / (n * log(1 + r/n))

Substituting the given values, we have:

t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))

Calculating this using a calculator, we find that t is approximately 2.8 years.

Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.

The correct answer choice is C. 2.8 years.

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Answer:

There should be 50 students in band.

Hope this helped!!

Answer:

it's 30

Step-by-step explanation:

30+4_2= dakukabilat

Answer:

13 inches

Step-by-step explanation:

Shaded area is a triangle.

area of triangle = 0.5(base)(height) = 0.5(16)(y) = 104

y = 13 inches

There is a 65.54% probability that the average age of those doctors is under 48.8 years.

Science uses a figure called the probability of occurrence to quantify how likely an event is to occur.

It is written as a number between 0 and 1, or between 0% and 100% when represented as a percentage.

The possibility of an event occurring increases as it gets higher.

True mean = mean (or average)+/- Z*SD/sqrt (sample population)

Then,

Mean (average) = 48.0 years

The true mean must be less than 48.8 years.

SD = 6.0 years, and

Sample size (n) = 9 doctors

Using Z as the formula's subject:

Z= (True mean - mean)/(SD/sqrt (n))

Inserting values:

Z=(48.8-48.0)/(6.0/sqrt (9)) = 0.4

From the table of normal distribution probabilities:

At Z= 0.4, P(x<0.4) = 0.6554 0r 65.54%

Therefore, there is a 65.54% probability that the average age of those doctors is under 48.8 years.

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Complete question:

The average age of doctors in a certain hospital is 48.0 years old. suppose the distribution of ages is normal and has a standard deviation of 6.0 years. if 9 doctors are chosen at random for a committee, find the probability that the average age of those doctors is less than 48.8 years. assume that the variable is normally distributed.