1. Solve 9a = 27. The solution is a =

Step-by-step explanation:

it is the second one -4(3_8×)

Answer:

90

Step-by-step explanation:

bro 70 is ten times 7 so just multiply 9x10

The area of the given equilateral parallelogram or rhombus will be 8 units square.

A basic quadrilateral with two sets of parallel sides is known as a parallelogram.

A parallelogram's bor opposing sides are of equal length, and its opposing angles are of similar size.

As per the given rhombus,

The angle C in the triangle DPC can be calculated as,

cosC = PC/DC

C = cos⁻ (PC/DC)

By calculating the length of PC and DC it will come out to be as,

C = 53.13°

The angle ∠BCD = 180° - 53.13° = 126.86°

The area of Thomson = (1/2)(BC)² sin∠BCD

The length of BC = √20

Area = (1/2)(√20)²sin126.86° = 8 units square.

Hence "The area of the given equilateral parallelogram or rhombus will be 8 units square".

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Answer:

74 units squared

Step-by-step explanation:

we know that the area of a square or rectangle is A = L × w

so we should just separate the object into it's individual rectangles/squares, solve for their areas, then add them together.

so I'll start with the middle square its length is 8 and width is 8 too.

A = 8 × 8

A = 64

now we'll move on to the other small ones to the side.

the one on the right side it's length is 2 and width is 2.

A = 2 × 2

A = 4

and then the last one on the left, Length is 3, width is 2.

A = 2 × 3

A = 6

now we'll add up all of the areas to get the total area.

Total = 64 + 4 + 6

Total = 74 units squared

About 80 necklaces have more than 28 beads. Then the correct option is C.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and the standard deviation is 4 beads.

P(x > 28) = P(x - 24 / 4 > 28 - 24 / 4)

P(x > 28) = P(x - 24 / 4 > 1)

P(x > 28) = 1 - ∅1

P(x > 28) = 1 - 0.8413

P(x > 28) = 0.1587

Multiply both sides by 500, then we have

500 P(x > 28) = 0.1587 × 500

500 P(x > 28) = 79.35

500 P(x > 28) ≈ 80

About 80 necklaces have more than 28 beads. Then the correct option is C.

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The missing options are given below.

A. About 24 devices have more than 28 beads.

B. About 48 necklaces have more than 28 beads.

C. About 80 necklaces have more than 28 beads.

D. About 96 necklaces have more than 28 beads.

Answer:

59.3 °

Step-by-step explanation:

its trigonometry

so you have the

opposite side= 43.5

and the adjacent side = 24.8

if you use SOH CAH TOA you will find that to find y you need to use TOA as tou have the opposite and adjacent.

to find the angle (tan) you need to do tue opposite / adjacent

tan^-1 (43.5/25.8)

= 59.3 to 1 d.p.

you need to use tan^-1 as you are finding the missing angle

Answer:

5 points

Step-by-step explanation:

Subtracting their scores, we get (-3)-(-8)=5

Answer: The third one or C

Step-by-step explanation: That is the correct distance formula.

Answer:

the last equation.

Step-by-step explanation:

you would subtract the x values, square them, and add it to the subtracted and squared y values. then take the square root of the remaining value.

Answer:

its and absolute value

1. 5

2. 12.9

The measure of ST based on the diagram regarding the circle is 56°.

Fron the information given, angle S is equal to 34°. Also, the triangle is inscribed in a circle.

Therefore, the measure of the angle will be:

= 180 - 90 - 34

= 56°

Therefore, the measure of angle ST is 56°.

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Answer:

\( \frac{10}{3} = 10 \div 3 = 3 \frac{1}{3} \)

Answer: Mixed Number Form: 3\(\frac{1}{3}\)

Decimal Form: 3.3 repeating

can i have brainliest please i need it

Answer:

21 milliliters

Step-by-step explanation:

60/100=0.6

0.6*35=21

The probability of exactly one success in five trials of a binomial experiment with a probability of success of 5% is 0.1936 or about 19.36%.

What is probability?

Probability is a way of quantifying the chance or likelihood of an event happening. It is represented as a numerical value between 0 and 1, with 0 meaning that the event cannot occur, and 1 meaning that the event is certain to occur.

To find the probability of exactly one success in five trials of a binomial experiment with a probability of success of 5%, we can use the binomial probability formula:

\(P(X = k) = (n\ choose\ k) * p^k * (1-p)^{(n-k)\)

where:

P(X = k) is the probability of getting exactly k successes

n is the total number of trials

k is the number of successes we want to find the probability of

p is the probability of success in a single trial

(n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials, and can be calculated as: (n choose k) = n! / (k! * (n-k)!)

In this case, we want to find the probability of exactly one success in five trials, with a probability of success of 5%. So we have:

n = 5

k = 1

p = 0.05

Plugging these values into the formula, we get:

P(X = 1) = (5 choose 1) * \(0.05^1 * (1-0.05)^{(5-1)\)

= (5!/((1!)(4!))) * 0.05 * \(0.95^4\)

= 5 * 0.05 * 0.7744

= 0.1936

Therefore, the probability of exactly one success in five trials of a binomial experiment with a probability of success of 5% is 0.1936 or about 19.36%.

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Answer:

20.4

Step-by-step explanation:

Answer:

-2(+7)-3(4-2x) simplified = −26+6x

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. Let μ1 be the mean dissolution time for disk-shaped ibuprofen tablets and μ2 be the mean dissolution time for oval-shaped ibuprofen tablets.

The random variable is μ1 - μ2 = difference in the mean dissolution time for disk-shaped ibuprofen tablets and the mean dissolution time for oval-shaped ibuprofen tablets.

We would set up the hypothesis.

a) The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 ≠ μ2 H1 : μ1 - μ2 ≠ 0

This is a two tailed test.

For disk shaped,

Mean, x1 = (269.0 + 249.3 + 255.2 + 252.7 + 247.0 + 261.6)/6 = 255.8

Standard deviation = √(summation(x - mean)²/n

n1 = 6

Summation(x - mean)² = (269 - 255.8)^2 + (249.3 - 255.8)^2 + (255.2 - 255.8)^2+ (252.7 - 255.8)^2 + (247 - 255.8)^2 + (261.6 - 255.8)^2 = 337.54

Standard deviation, s1 = √(337.54/6) = 7.5

For oval shaped,

Mean, x2 = (268.8 + 260 + 273.5 + 253.9 + 278.5 + 289.4 + 261.6 + 280.2)/8 = 270.7375

n2 = 8

Summation(x - mean)² = (268.8 - 270.7375)^2 + (260 - 270.7375)^2 + (273.5 - 270.7375)^2+ (253.9 - 270.7375)^2 + (278.5 - 270.7375)^2 + (289.4 - 270.7375)^2 + (261.6 - 270.7375)^2 + (280.2 - 270.7375)^2 = 991.75875

Standard deviation, s2 = √(991.75875/8) = 11.1

b) Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

Therefore,

t = (255.8 - 270.7375)/√(7.5²/6 + 11.1²/8)

t = - 3

c) The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [7.5²/6 + 11.1²/8]²/[(1/6 - 1)(7.5²/6)² + (1/8 - 1)(11.1²/8)²] = 613.86/51.46

df = 12

We would determine the probability value from the t test calculator. It becomes

p value = 0.011

d) Since alpha, 0.05 > than the p value, 0.011, then we would reject the null hypothesis. Therefore, we can conclude that at 5% significance level, the mean dissolve times differ between the two shapes

Answer:

The number 2

Step-by-step explanation:

Answer: easy question.The ratios are 1. 32:1122) 2. 8:28 hope that helps u

Step-by-step explanation:

Answer:

C is the correct answer

Step-by-step explanation:

I am only answering this to award the other person brainliest. I also know that this is right because I *just* took the test and I got a 100%

An explicit function to represent the data is \(f(n)=5(3)^{n-1}\), f(5)=405. Therefore, option C is the correct answer.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Using \(y=a(b)^x\), where a is x-intercept and b is the growth factor

The points started from n = 1 not zero and initial value found when the exponent = 0

So, the exponent must be n-1

Here, a=5

So, \(y=5(b)^{x-1}\)

Substitute (x, y)=(2, 15) in above obtained equation

That is, \(15=5(b)^{2-1}\)

⇒ b=3

Now, the function is \(y=5(3)^{x-1}\)

So, \(f(n)=5(3)^{n-1}\)

Now, \(f(5)=5(3)^{5-1}\)

⇒ \(f(5)=5\times81\)

⇒ \(f(5)=405\)

An explicit function to represent the data is \(f(n)=5(3)^{n-1}\), f(5)=405. Therefore, option C is the correct answer.

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Answer:

X is 9

Step-by-step explanation:

The rank of the matrix is 3, since there are three linearly independent rows.

The rank of a matrix is the maximum number of linearly independent rows or columns in the matrix. It is denoted by the symbol "rank(A)" for a matrix A.

To find the rank of the matrix:

[-2, -1, -3, -1] [ 1, 2, -3, -1] [ 1, 0, 1, 1] [ 0, 1, 1, -1]

We can perform row operations to reduce the matrix to row echelon form, which will help us determine the rank.

\(R_2 = R_2 + 2R_1 R_3 = R_3 + 2R_1 R_4 = R_4 + R_2\)

This gives us the following matrix:

[-2, -1, -3, -1] [ 0, 0, -9, -3] [ 0, -1, -1, 1] [ 0, 0, -4, -4]

We can see that the third row is not a linear combination of the first two rows, and the fourth row is not a linear combination of the first three rows. Therefore, the rank of the matrix is 3, since there are three linearly independent rows.

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Projectile B begins its descent 1 seconds before Projectile A does.

In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).

By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:

y-intercept = (0, 44).

Maximum height = (4, 300).

When t = 0, the y-intercept of Projectile B can be calculated as follows;

h(t) = -16t² + 96t

h(0) = -16(0)² + 96(0)

h(0) = 0.

For the maximum height, we have:

h(t) = -16t² + 96t

h'(t) = -32t + 96

32t = 96

t = 96/32

t = 3

Difference in time = 4 - 3

Difference in time = 1 seconds.

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By using the mean formula, the mean grade across all four classes was 83.25%.

The mean is a measure of central tendency that represents the average value of a set of data

The formula for calculating the mean:

Mean = (x1 + x2 + x3 + ... + xn) / n

Where:

x1, x2, x3, ..., xn are the individual values in the set

n is the total number of values in the set

Mean = (74 + 82 + 86 + 91) / 4

Mean = 333 / 4

Mean = 83.25

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By the product rule,

\((fg)'=f'g+fg'\)

so that

\((fg)'(7)=f'(7)g(7)+f(7)g'(7)=10\cdot(-1)+4\cdot8=22\)

By the quotient rule,

\(\left(\dfrac fg\right)'=\dfrac{f'g-fg'}{g^2}\)

so that

\(\left(\dfrac fg\right)'(7)=\dfrac{f'(7)g(7)-f(7)g'(7)}{g(7)^2}=\dfrac{10\cdot(-1)-4\cdot8}{(-1)^2}=-42\)

The length of side X in simple radical form with a rational denominator is 25/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 5 × 5/√3

Hypotenuse, x = 25/√3.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Step-by-step explanation:

BAD = 42

x + 103 + 42 = 180

x = 180 - 145

x = 35

Answer:

a) the probability that at least one of 10 successive points indicates a problem when in fact the process is operating correctly is 0.4013

b) the probability that at least one of 40 successive points indicates a problem when in fact the process is operating correctly is 0.8715

Step-by-step explanation:

following how the independence multiplication rule works,

i.e finding p(A)' which is 1 - p(No problem) because what we need is an intersection not a union so;

a) 10 successive points

probability (problem) = 0.05

probability (No problem) = 0.95

required probability = 1 - [probability (No problem)]^10

= 1 - (0.95)^10

= 1 - 0.5987

= 0.4013

the probability that at least one of 10 successive points indicates a problem when in fact the process is operating correctly is 0.4013

b) 40 successive points

probability (problem) = 0.05

probability (No problem) = 0.95

required probability = 1 - [probability (No problem)]^40

= 1 - (0.95)^40

= 1 - 0.1285

= 0.8715

the probability that at least one of 40 successive points indicates a problem when in fact the process is operating correctly is 0.8715

Two years ago, an investment of R1 500000 has increased to R1 700000 and has delivered R40 000 worth of dividends over the two years. Then the return on investment would be 16%.

We can use the following formula to calculate ROI:

ROI = (gain from investment - cost of investment) / cost of investment

where, gain from investment is the total value of the investment (including dividends), and cost of investment is the initial investment.

Using the values given in the question, we can calculate the ROI as:

ROI = ((R1,700,000 + R40,000) - R1,500,000) / R1,500,000 = R240,000 / R1,500,000

ROI = 0.16 or 16%

Therefore, the return on the investment is 16%.

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Answer:

May I ask what error are we talking ab?

Step-by-step explanation:

-20,-15,-10,0,10

Add all these up and divide by 5 and you get -10

The range of function for the given domain are {25, 8, -7, 11}

Given that, a function f(x) = 2x²-7, we need to find the range of the function, for the given domain, x = {-4, -2, 0, 3},

So,

Domain = All the input values.

Range = All the output values.

So, to find the range we will put the value of x which is the domain and the value obtained of f(x) will be the range,

f(x) = 2x²-7

For, x = -4,

f(-4) = 16×2 - 7 = 25

f(-4) = 25

f(-2) = 4 × 2 - 7 = 8

f(-2) = 8

f(0) = -7

f(3) = 9 × 2 - 7

f(3) = 11

Hence the range of function for the given domain are {25, 8, -7, 11}

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If the train travels at an average speed of 50 Km/h, it would be late by 10 minutes.

Speed is simply referred to as distance traveled per unit time.

It is expressed as:

Speed = distance / time

Given that the train running between two stations 50 Km apart arrives on time if it travels at an average speed of 60 km/h.

The time taken by the train to travel 50 km at an average speed of 60 km/h can be calculated using the formula:

Speed = distance / time

time = distance / speed

time = 50 km / 60 km/h

time = 5/6 hour

Next, if the train travels at an average speed of 50 km/h, the time taken to cover the same distance of 50 km would be:

Speed = distance / time

time = distance / speed

time = 50 km / 50 km/h

time = 1 hour

Now, the difference in time between the two scenarios would be:

time difference = 1 hour - 5/6 hour

time = 1/6 hour

Convert to minutes

time = 1/6 × 60

time = 10 minutes

Therefore, the train would be late by 10 minutes.

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