♡ M 01-
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6/1= /4
what is the equivalent answer help ​

Answer: .0142%

Step-by-step explanation:

The probability that Justin passes his final exam is 0.0147%

The given parameters are:

Only one of the options can be correct.

So, the probability that he answers a question correctly is:

p = 1/3

To get a pass mark of 75, he must score at least 15.

So, the probability is represented using:

P(x >= 15) = P(15) + P(16) + ..... + P(20)

Each probability is calculated using:

\(P(x) = ^nC_r * p^x *(1 -p)^{n - x}\)

Using the above formula, we have:

P(15) = 0.00012546624

P(16) = 0.0000193115

P(17) = 0.00000223803

P(18) < 0.000001

P(19) < 0.000001

P(20) < 0.000001

When the above probabilities are added, we have:

P(x >= 15) = 0.00014720925

Express as percentage

P(x >= 15) = 0.014720925%

Approximate

P(x >= 15) = 0.0147%

Hence, the probability that Justin passes is 0.0147%

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a) P(psychology student)  = 1/3. b) P(psychology or anthropology student)  = 5/6. c) P(not sociology student)= 5/6

(a) The probability of choosing a psychology student is the number of psychology students divided by the total number of students:

P(psychology student) = 4/(6+2+4) = 4/12 = 1/3

(b) The probability of choosing a psychology student or an anthropology student is the sum of the number of psychology and anthropology students divided by the total number of students:

P(psychology or anthropology student) = (4+6)/(6+2+4) = 10/12 = 5/6

(c) The probability of not choosing a sociology student is the number of non-sociology students divided by the total number of students:

P(not sociology student) = (6+4)/(6+2+4) = 10/12 = 5/6

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The length of v to the nearest 10th of an inch is 2.0 inches.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

We can use the Law of Sines,

Which states that for any triangle ABC:

a/sin(A) = b/sin(B) = c/sin(C)

where a, b, and c are the lengths of the sides of the triangle opposite the angles A, B, and C.

Now,

a = UV = u = 3.4 inches

A = ∠TUV

  = 180° - m∠U - m∠V

  = 180° - 144° - 35°

  = 1°

B = ∠UTV

   = m∠U

   = 144°

C = ∠TVU

  = m∠V

  = 35°

Using the Law of Sines,

v/sin(C) = u/sin(B)

Substituting in the values.

v/sin(35°) = 3.4/sin(144°)

Solving for v.

v = (3.4 × sin(35°)) / sin(144°)

v = 1.97 inches

Therefore,

The length of v to the nearest 10th of an inch is 2.0 inches.

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Answer:

13.5 litres

Step-by-step explanation:

the ratios are 2 : 3 : 4 = 2x : 3x : 4x ( x is a multiplier )

given Henrietta produced 1.5 litres more than Gladys , then

4x = 3x + 1.5 ( subtract 3x from both sides )

x = 1.5

then total milk produced by the 3 cows is

total = 2x + 3x + 4x = 9x = 9 × 1.5 = 13.5 litres

Answer:

The answer is in the link

Step-by-step explanation:

Brainliest pls

It would take approximately 17.12 years for the amount to reach Birr 56,398.43 with a deposit of Birr 500 at the end of each six-month period, compounded semi-annually at an interest rate of 6%.

To solve this problem, we can use the formula for compound interest:

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

Where:

A = Final amount

P = Principal amount (initial deposit)

r = Annual interest rate (in decimal form)

n = Number of compounding periods per year

t = Number of years

In this case, the principal amount is Birr 500, the annual interest rate is 6% (or 0.06), and the interest is compounded semi-annually, so there are 2 compounding periods per year.

We need to find the number of years (t) it takes for the amount to reach Birr 56,398.43.

Let's substitute the given values into the formula and solve for t:

56,398.43 = 500(1 + 0.06/2)^(2t)

Divide both sides by 500:

112.79686 = (1 + 0.03)^(2t)

Take the natural logarithm of both sides to eliminate the exponent:

ln(112.79686) = ln(1.03)^(2t)

Using the property of logarithms, we can bring down the exponent:

ln(112.79686) = 2t * ln(1.03)

Now, divide both sides by 2 * ln(1.03):

t = ln(112.79686) / (2 * ln(1.03))

Using a calculator, we find t ≈ 17.12.

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Answer:  Choice C

any fraction with a positive numerator and a negative denominator

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

Explanation:

Consider the fraction 10/(-5) where we divide 10 over -5

The numerator 10 is larger than the denominator -5, as any positive number is larger than a negative number. But 10/(-5) simplifies to -2 which is not greater than 1.

This is one counterexample to show that the original conditional statement is false.

using the trigonometric ratio

To calculate the height of the house,

By susbstitution,

Therefore,

The height of the house= 30ft

Answer:

The 90% confidence interval for the mean test score is between 77.29 and 85.71.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 25 - 1 = 24

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.9}{2} = 0.95\). So we have T = 2.064

The margin of error is:

\(M = T\frac{s}{\sqrt{n}} = 2.064\frac{10.2}{\sqrt{25}} = 4.21\)

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 81.5 - 4.21 = 77.29

The upper end of the interval is the sample mean added to M. So it is 81.5 + 4.21 = 85.71.

The 90% confidence interval for the mean test score is between 77.29 and 85.71.

Answer:

B I think sorry if it's wrong

Answer:

b. y = -1/2x + 9

Step-by-step explanation:

Choices:

a. y = -2x - 2

b. y = -1/2x + 9

c. y = 1/2x + 11

d. y = 2x + 14

A line passes through these points: (6, 10) and (4, 6)

m = (10 - 6)/(6 - 4) = 4/2 = 2

The slope of the given line is 2.

Slopes of perpendicular lines are negative reciprocals.

The slope of the perpendicular is -1/2.

The answer is a line with slope -1/2.

Answer: b. y = -1/2x + 9

Answer:

x^2+12x=-11

Step-by-step explanation:

Answer:

(-1, 12) and (-11, 132)

Step-by-step explanation:

\(\frac{x}{y}\)Answer:

Six would be your answer

Step-by-step explanation:

2y-9= y-2

-y        -Y

y-9=-2

y=-2+9

y=6

Answer:

4 * 7/8

Step-by-step explanation:

It's asking to multiply.

Answer:

y = 1/4x

Step-by-step explanation:

The slope changes from 4 to 1/4

so,

y = 1/4x + b

Then, plug in (4,1) into the equation

1 = 1/4(4) + b

1 = 1 + b

b = 0

y = 1/4x + 0

y = 1/4x

Answer:

x = 12

Step-by-step explanation:

It is a 90° angle which means that both of the angles need to add up to 90. 90-20 =70. 6×12 = 72.

6×9= 72

72-2 = 70

It adds up.

Hope this helps.

According to Double identities

Answer:

76ft^3

Step-by-step explanation:

Volume of a cube is Length x Width x Height, basically: 4 x 4 x 4 which is 64 ft^3. Add that to the small box gives you 64 + 12 or just 76 ft^3

Answer:

4

Step-by-step explanation:

Answer:

17degrees

Step-by-step explanation:

The sum of two supplementary angles is equation 180degrees. Hence:

5x+95 = 180

5x = 180-95

5x = 85

x = 85/5

x = 17

Hence the value of x is 17

Bus 14 typically has a faster travel time than Bus 18 is the right answer.

To determine which bus typically has the faster travel time, we need to compare the measure of center for both data sets. The measure of center tells us the central or typical value in a data set.

For Bus 14, the median is 14. The median represents the middle value when the data is arranged in ascending order. In this case, since there are an odd number of data points (15), the median is the value in the middle, which is 14.

For Bus 18, the mean is 12. The mean is calculated by summing up all the values and dividing by the total number of values. In this case, the sum of the travel times for Bus 18 is divided by 15, resulting in a mean of 12.

Comparing the median of Bus 14 (14) with the mean of Bus 18 (12), we can conclude that Bus 14 typically has a faster travel time. The median is less affected by extreme values or outliers, which makes it a more reliable measure of central tendency in this case.Therefore, the final answer is:

Bus 14 typically has a faster travel time than Bus 18.

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    Equivalent fractions are those that, despite their visual differences, reflect the same value. For instance, if you take a cake and cut it into two equal pieces, you will have consumed half of the cake.

          When two fractions are expressed in their simplest form, they are said to be equivalent. When broken down into its simplest components, the fraction 26/28 equals 13/14. You only need to multiply the numerator and denominator of the reduced fraction (13/14) by the same natural number, i.e., multiply by 2, 3, 4, 5, 6 to get analogous fractions.

    In decimal form, 13/14 is 0.92857142857143.

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Answer:

-12

Step-by-step explanation:

The confidence interval is 0.559 < p < 0.641 and expected value is 0.600

To construct a confidence interval for the true population proportion, we can use the formula:

p ± Z * √((p × (1 - p)) / n)

Where:

p = sample proportion (336/560)

Z = critical value for the desired confidence level

95% confidence = Z-value of approximately 1.96

n = 560

Let's calculate the confidence interval:

p = 336/560 ≈ 0.600

Z ≈ 1.96 (for a 95% confidence level)

n = 560

Plugging these values into the formula:

p ± Z × √((p × (1 - p)) / n)

0.600 ± 1.96 × √((0.600 × (1 - 0.600)) / 560)

0.600 ± 1.96 × √((0.240) / 560)

0.600 ± 1.96 × √(0.0004285714)

0.600 ± 1.96 × 0.020709611

0.600 ± 0.040564459

The confidence interval is:

0.559 < p < 0.641

Therefore, the 95% confidence interval for the true population proportion of adults with children is 0.559 < p < 0.641.

For proportions, the expected value is simply the sample proportion, which is approximately 0.600.

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The hypotenuse of the right triangle is 7.93 inches.

According to the question,

We have the following information:

A right triangle has a leg that measures 7 in. The angle opposite this side measures 62°.

Now, the hypotenuse can be easily found using the trigonometric function.

(More to know: in a right triangle, we can use the Pythagoras theorem. This theorem can not used in any other triangle.)

We will use sin 62 to find hypotenuse.

Sin 62 = perpendicular/hypotenuse

Hypotenuse = perpendicular/sin 62

Hypotenuse = 7/0.88295

Hypotenuse = 7.93 inches

Hence, the hypotenuse of the right triangle is 7.93 inches.

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Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.

A variable is anything that may be altered in the context of a mathematical notion or experiment. Variables are frequently denoted by a single symbol. .

a. Input variables: hours worked as a cashier, payroll clerk, and assistant.

The total amount earned each week is the output variable.

b. To determine the weekly total, multiply the number of hours worked at each job by the hourly rate and put them together. As a result, the equation would be:

Total weekly wage = (hours worked as a cashier x cashier hourly rate) + (hours worked as a payroll clerk x payroll clerk hourly rate) + (hours worked as an aide x rate per hour as an aide)

c. The amount of hours worked as an assistant is always 10 hours fewer than that of a payroll clerk. Therefore, if x denotes the number of hours worked as a payroll clerk, then the number of hours worked as an assistant may be denoted as (x - 10).

d. The equation describing the total money earned each week is as follows:

(20 x 9.5) + (x x 9) + ((x - 10) x 7) = y

This expression is simplified as follows:

y = 190 + 9x - 70 + 7x

y = 16x + 120

Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.

f. The realistic replacement values for x would be determined by the maximum number of hours you may work at each job as well as the amount of time available to work. Working 8 hours as a payroll clerk may be a reasonable substitute value if you have restricted availability, but 50 hours is unlikely.

g. If you do not work as an aide, you may calculate your total weekly income by setting the number of hours worked as an aide to zero in the calculation for the total amount earned each week. This results in:

y = 16x + 120 + 0

y = 16x + 120

As a result, the total weekly wage would be determined only by the number of hours performed as a cashier and payroll clerk.

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Answer:

Width= 15ft and Length= 30 ft

Step-by-step explanation:

Length=15+w

Area=450 ft square

(15+w)(w)=450

w²+15w=450

w²+15w-450=0

(w+30)(w-15)=0

w= -30, 15

width can't be negative so possible answer is 15 ft

Length = 15+15=30 ft

Answer: 264.0625

Step-by-step explanation:

let me know if im wrong

Answer:

38 inch

Step-by-step explanation: