Someone please help. If you don’t want to answer all that’s fine

Answer:

<

Step-by-step explanation:

1) Substitute 5 into the question

2) Work out the sides

3) Put it into an inequality

5 < 7

Hope this helps, have a great day!

Answer:

The correct answer is:

D. Action: Divide both sides by 4.

E. Property: Division property of equality.

The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:

\(22.6 < \mu < 24.4\)

The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:

\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)

Looking at the z-table, the critical value for a 95% confidence interval is given as follows:

z = 1.96.

The lower bound of the interval is then given as follows:

\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)

The upper bound of the interval is then given as follows:

\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)

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Answer:

m=6

Step-by-step explanation:

-3m+12=-6

3m=12+6

3m=18

m=6

m = 6.

Step-by-step explanation:

\({ \green{ \tt{ - 3}}}({ \green{ \tt{m - 4}}}) = { \green{ \tt{ - 6}}}\)

\({ \green{ \tt{ - 3m + 12}}} = { \green{ \tt{ - 6}}}\)

\({ \green{ \tt{3m}}} = { \green{ \tt{12}}} \: + \: { \green{ \tt{6}}}\)

\({ \green{ \tt{3m}}} = { \green{ \tt{18}}}\)

\({ \green{ \tt{m}}} = \frac{ \green{ \tt{18}}}{ \green{ \tt{3}}} \)

\({ \green{ \tt{m}}} = { \red{ \mathfrak{6}}}\)

Answer:

t ≤ 225r

Step-by-step explanation:

Distance = 225 miles

Time taken = t

Average speed = r miles per hour

Recall :

Speed = distance / time

Time, = distance / speed

t = 225 miles / r

All possible values of t :

t ≤ 225r

Answer:

0.7857

Step-by-step explanation:

Given :

Mean = 69 inches

Standard deviation, = 2.8 inches

The Zscore of a man who is 71.2 inches

The ZSCORE is obtained using the relation :

Zscore = (Score, x - mean) / standard deviation

Zscore = (71.2 - 69) / 2.8

Zscore = 2.2 / 2.8

Zscore = 0.7857

Answer:

1. 6
2. 24
3. 54
10. 600

Step-by-step explanation:

We substitute n with 1, then 2 then 3 then 10 to give the first, second, third and 10th term:

6(1)²= 6×1=6

6(2)²= 6×4=24

6(3)²=6×9=54

6(10)²= 6×100=600

The person who gets to say the last number, 1000, will be Person 6.

Here, we have,

In this scenario, we have seven people sitting in a circle and counting clockwise. The goal is to determine which person will say the last number when they reach 1000. To solve this problem, we can use the concept of modular arithmetic.

When dividing 1000 by the total number of people (7), we get a quotient of 142 and a remainder of 6 (1000 = 142*7 + 6). This means that after completing 142 full rounds of counting, the group will have reached the number 994 (142*7). In the next round, they will continue counting from 995 to 1000.

Since the remainder is 6, it indicates that the last number (1000) will be spoken by the person sitting 6 positions after the first person in the circle (clockwise). In other words, Person 1 says numbers 1, 8, 15, and so on, while Person 6 will say 6, 13, 20, and so on.

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complete question:

10) Seven people sit in a circle and begin counting clockwise starting from 1.Each person in the group is keeping track of the numbers she is saying (e.g. 1,8, 15...) If they continue in this way, counting on and on, until they reach 1000, which person will get to say the last number

Answer:

-5+√2 and -5-√2

Step-by-step explanation:

With the quadratic formula:

\(\displaystyle x^2 + 10x + 25 = 2\\\\x^2+10x+23=0\\\\x=\frac{-10\pm\sqrt{10^2-4(1)(23)}}{2(1)}=\frac{-10\pm\sqrt{100-92}}{2}=\frac{-10\pm\sqrt{8}}{2}=\frac{-10\pm2\sqrt{2}}{2}=-5\pm\sqrt{2}\)

We can also complete the square (which is faster):

\(x^2+10x+25=2\\(x+5)^2=2\\x+5=\pm\sqrt{2}\\x=-5\pm\sqrt{2}\)

Answer:

17.1%

Step-by-step explanation:

To find the percentage of oak trees in the wood, divide the number of oak trees by the total number of trees (sum of all tree types), and then multiply by 100 to express it as a percentage:

\(\begin{aligned}\textsf{Percentage of oak trees}&= \dfrac{\textsf{Number of oak trees}}{\textsf{Total number of trees}} \times 100\\\\&= \dfrac{130}{420+130+210} \times 100\\\\&= \dfrac{130}{760} \times 100\\\\&=0.171052631... \times 100\\\\&=17.1\%\; \sf (1\;d.p.)\end{aligned}\)

Therefore, approximately 17.1% of the trees in the wood are oak trees.

Answer:

17.1%

Step-by-step explanation:

In order to calculate the percentage of trees that are oak trees, we can use the following formula:

\(\textsf{Percentage of oak trees }=\dfrac{\textsf{ Number of oak trees }}{\textsf{total number of trees} }\cdot 100\% \)

We know that the number of oak trees is 130 and the total number of trees is 420 + 130 + 210 = 760.

Substituting these values into the formula, we get:

\(\textsf{Percentage of oak trees }=\dfrac{130}{760}\cdot 100\% \\\\ = 0.1710 \cdot 100\% \\\\ \approx 17.1 \% \textsf{( in 1 d.p.)}\)

Therefore, 17.1% of the trees in the wood are oak trees.

The expression which represents the simplest factorization of 56st – 21t is 7t(8s - 3).

Factorization is the process of creating a list of factors. It is also an expression listing items that when multiplied together will produce a desired quantity.

Greatest common factor is the largest positive integer or polynomial that is a divisor of several different numbers.

56st - 21t

Factors of

56st = 1, 2, 4, 7, 8, 14, 28,:56, t, s

21t = 1, 3, 7, 21

The common factors of 56st and 21t is 7 and t

56st - 21t

= 7t(8s - 3)

Check:

7t(8s - 3)

= 56st - 21t

In conclusion, the simplest factorization of the expression 56st - 21t is 7t(8s - 3).

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The value of angle x in the triangle is 15°

Given: the triangle ABC with equal sides of 9 units.

Since the triangle has equal sides, it will also have equal angles (i.e. it is an equilateral triangle).

Thus, <A = <B = < C =  4x°

Since the sum of angles in a triangle is 180°. We have:

<A + <B + < C = 180°

4x + 4x + 4x = 180°

12x = 180

x = 180/12

x = 15°

Therefore, the value of x is 15°

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Answer:

option 4

Step-by-step explanation:

the total interior angle of a triangle adds up to 180º. you're given it's a right triangle (90º) and the angle B, 21º. Add those up and you get 111º. 180º-111º=69º, angle C.

The probability of their first child having green eyes is 0.125, and the probability of their second child not having them is 0.875.

Probability is an estimate of how likely an occurrence is to occur. It's a figure between 0 and 1, where 0 means the event is unlikely and 1 means the event is certain. A likelihood of 0.5 (or 50%) indicates that the occurrence has an equal chance of occurring or not occurring.

In the given question,

a) The probability of their first child having green eyes is 0.125. The probability of their second child not having green eyes is 1 - 0.125 = 0.875. Therefore, the probability that their first child will have green eyes and the second will not is 0.125 x 0.875 = 0.1094.

b) The probability of exactly one of their two children having green eyes can be calculated in two ways: either the first child has green eyes and the second doesn't, or the first child doesn't have green eyes and the second does. The probability of the first scenario was calculated in part (a) to be 0.1094, and the probability of the second scenario is the same, so the total probability is 2 x 0.1094 = 0.2188.

c) The probability of exactly two out of six children having green eyes can be calculated using the binomial distribution with n = 6, p = 0.125, and k = 2. The formula for this probability is:

P(k=2) = (6 choose 2) x \(0.125^2 x (1 - 0.125)^4\) = 0.1936

where (6 choose 2) = 6!/(2!4!) = 15 is the number of ways to choose 2 children out of 6.

d) The probability of at least one of their six children having green eyes is the complement of the probability that none of them do. The probability that any one child doesn't have green eyes is 1 - 0.125 = 0.875, so the probability that none of the six children have green eyes is \(0.875^6\) = 0.1779. Therefore, the probability that at least one of their six children has green eyes is 1 - 0.1779 = 0.8221.

e) The probability that the first green-eyed child will be the fourth child is the probability that the first three children do not have green eyes, multiplied by the probability that the fourth child has green eyes, multiplied by the probability that the fifth and sixth children do not have green eyes. The first three children have a probability of \((1-0.125)^3\) = 0.578 to not have green eyes. The fourth child has a probability of 0.125 to have green eyes. The probability that the fifth and sixth children do not have green eyes is \((1-0.125)^2\) = 0.765625. Therefore, the probability that the first green-eyed child will be the fourth child is 0.578 x 0.125 x 0.765625 = 0.0557.

f) It would depend on the context and the specific definition of "unusual." If the expected number of brown-eyed children is 0.75 x 6 = 4.5, then having only 2 out of 6 children with brown eyes is below average. However, the probability of this exact outcome can be calculated using the binomial distribution with n = 6 and p = 0.75:

P(k=2) = (6 choose 2) x \(0.75^2 x (1 - 0.75)^4\) = 0.0986

where (6 choose 2) = 6!/(2!4!) = 15 is the number of ways to choose 2 children out of 6. This probability is not very low (less than 10%), so it might not be considered unusual in a statistical sense.

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Answer:

Probability that the spinner stop on an even number or a multiple of 3 = \(\frac{2}{3}\)

Step-by-step explanation:

Given - A spinner has regions numbered 1 through 18.

To find - What is the probability that the spinner, spun once, will stop on an even number or a multiple of 3?

Solution -

Given that,

A spinner has regions numbered 1 through 18.

So,

The sample space, S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18}

i.e.

n(S) = 18

Now,

Let A be the outcomes that gives even number or a multiple of 3,

Then

A = {2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18}

i.e.

n(A) = 12

∴ we get

Probability that the spinner stop on an even number or a multiple of 3 = \(\frac{n(A)}{n(S)}\)

= \(\frac{12}{18}\)

= \(\frac{2}{3}\)

i.e.

Probability that the spinner stop on an even number or a multiple of 3 = \(\frac{2}{3}\)

Answer:

2/5

Step-by-step explanation:

perpendicular line means the two lines' slope when multiplied together gives a answer of -1.

hence, we just need to find the slopw of the line connecting the 2 points and form an equation with -1 to get the slope the question wants.

slope of the line PQ:

(7-5)/(-3-2) = -2/5 (slope formula)

slope of the perpendicular line:

-2/5 x slope = -1

slope = (-1)/(-2.5) = 2/5

Answer: 39%

Step-by-step explanation:

using calculator

1 seat = 0.058%
1700 - 1037 = 663 seats are taken.

0.058% x 663 seats = 39%

Answer:

The gain percent is 33.3 %

Step-by-step explanation:

Let the selling price of 1 m cloth is p.

Cost of 33 m = 33 p

gain = cost of 11 m = 11 p  

The gain percentage is given by

\(\frac{11 p}{33 p}\times 100\\\\= 33.3 %\)

The gain percent is 33.3 %.

the missing side of the right triangle is 10.568

a² + b² = c²

Which c is the hypotenuse part of triangle.

a = 5.2

b = 9.2

c = ...?

so the missing part is c.

a² + b² = c²

5.2² + 9.2² = c²

111.8 = c²

c = √111.8

c = 10.568

#Moderators please don't be mean, dont delete my answers just to get approval from your senior or just to get the biggest moderation daily rank.

Answer: ooo ok i got it. it is nice

Answer: x=1, y=1, z=-1

Step-by-step explanation:

From the first and 3rd equation, 2x+9y=11.

The first equation is also 4x+16y-4z=24, so add that to the second equation, and you get 6x+27y=33.

Solving, we get x=1 and y=1, meaning that z=-1.

The amount of money that Theresa has left is equal to £2,740.

In order to write a linear equation to describe this situation, we would assign variables to the cost of flights for each of them and the cost of accommodation for each of them respectively, and then translate the word problem into a linear equation as follows:

Let the variable a represent cost of flights for each of them.

Let the variable f represent cost of accommodation for each of them.

Since Theresa paid for herself and 11 friends to go on holiday with a flight cost of £339 and accommodation cost of £266, a linear equation to describe this situation is given by;

y = 12(a + b)

y = 12(266 + 339)

y = £7,260

For the amount of money left, we have:

Amount of money left = £10,000 - £7,260

Amount of money left = £2,740.

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\(over \: \: statement \: \\ \\ 0.35 \times 9 = 3.15 \\ \\ multiply \: 0.35 \times 9 \\ 3.15 = 3.15 \\ \\ so \: the \: answer \: is \: \: overstatemnt \\ \\ hope \: \: it \: \: helps\)

Answer:

737.9

Step-by-step explanation:

8 is the hundredth place in 737.88, and 8 rounds up. So, the answer is 737.9

Answer:

737.9

Step-by-step explanation:

When we round something to the nearest ___ place, we want to look to the value to the right of it.

Since we're rounding it to the nearest tenths place, we want to look at the value to the right of it - the hundredths place.

The number in the tens place will be one more if the hundredths place is 5 or greater. It will remain the same if the hundredths place is below 5.

8 is greater than 5. This means the tens place will round up to 9.

So 737.9.

Hope this helped!

Answer:

2x-3y+z

Step-by-step explanation:

-2x-y-2z+4x-2y+3z

combine like terms

-2x+4x= 2x

-y-2y= -3y

-2z+3z= z

so..

2x-3y+z

The equation  3x² - 4 = 2x² - 4x is a quadratic equation.

A quadratic equation is an equation having a single unknown variable x, and the highest degree of power is 2.

The equations are being rearranged and simplified

2x² + 8x - 22 = 2x² - 4x

2x² - 2x² + 8x + 4x - 22 = 0

12x - 22 = 0

This is not an quadratic equation

4x + 2 = 0

This is not an quadratic equation as the highest power is not equal to 2

8 = 2ˣ

This is an exponent equation

3x² - 4 = 2x² - 4x

x² + 4x - 4

This is a quadratic equation

Therefore, option D 3x² - 4 = 2x² - 4x is a quadratic equation.

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Answer:

1/21

Step-by-step explanation: