A, B & C form a triangle where Z BAC = 90°.
AB = 1.2 mm and CA = 3.9 mm.
Find the length of BC, giving your answer rounded to 1 DP​

Answer:

c

did the test got it right.

Step-by-step explanation:

Answer:

10 seats

Step-by-step explanation:

600-50 = 550

550/55 = 10

Here is the completed table:

Weeks    Dollars remaining in savings

6                 $62

10                 $20

w                  $125 - $10.50w

The function notation is f(s) = $125 - $10.50w

The function that would represent the amount of money in his savings account would be a linear function. A linear function is a function that increases or decreases at a constant rate. If the linear function is increasing, the graph would be upward sloping. If the linear function is decreasing, the graph would be downward sloping.

The form of the linear equation is:

Amount left in the account = initial money in the account - (amount spent per week x number of weeks)

s = $125 - ($10.50 x w)

s = $125 - $10.50w

Money in the account in 6 weeks = $125 - $10.50(6)

$125 - $63 = $62

Money in the account in 10 weeks = $125 - $10.50(10)

$125 - $105 = $20

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Due to chance variation, there is a significant difference between the section's average and the whole class's average. The number of tickets in the null box is 900, but the observed difference is too large to be attributed to chance alone.

To answer this question, we will perform a hypothesis test to determine if the low average of the TA's section is due to chance variation or if there is a significant difference between the section's average and the whole class's average.

Step 1: Define the null and alternative hypotheses
- Null hypothesis (H0): The TA's section's low average is due to chance variation.
- Alternative hypothesis (H1): The section's average is too low to be due to chance variation.

Step 2: Calculate the test statistic
In this case, we have the following data:
- Whole class average: 62
- Whole class standard deviation (SD): 18
- Section's average: 54
- Number of students in the section: 30

The test statistic (z-score) = (Section's average - Whole class average) / (SD / √Number of students)
z = (54 - 62) / (18 / √30) ≈ -2.49

Step 3: Determine the number of tickets in the null box
In the problem, it is mentioned that there are 900 tickets in the null box. To assess the null hypothesis, we will compare the z-score to the critical value corresponding to a significance level (e.g., α = 0.05).

Step 4: Compare the test statistic to the critical value
For a two-tailed test with α = 0.05, the critical value is approximately ±1.96. Since the calculated z-score (-2.49) is beyond the critical value, we reject the null hypothesis.

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Among the given options for input statements involving int variables X and y, the valid option is b) cin >> x >> y.

This statement uses the extraction operator (>>) to read input values and assign them to the variables x and y consecutively. The extraction operator allows for multiple inputs in a single line, separated by spaces or other delimiters.

This statement ensures that two integer values can be entered and stored correctly in the variables x and y. The extraction operator (>>) is commonly used with the cin object in C++ for input operations. It facilitates convenient and efficient input handling for multiple variables in a single statement.

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The probability of drawing less than 3 red cards will be 3 / 14.

Total number of cards from the deck of cards = 52

Probability that a red card is drawn = 1 / 2

Probability of drawing 2 red cards:

P = 1 / 2 × 2 / 7

P = 1 / 7

Probability of drawing 1 red cards:

P = 1 / 2 × 1 / 7

P = 1 / 14

P (less than 3 red cards) = 1 / 7 + 1 / 14 = 3 / 14

Therefore, we get that, the probability of drawing less than 3 red cards will be 3 / 14.

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We can conclude that they form a right triangle

So GF = FH

OF^2 = GF^2 + OG^2

OF^2 = 8.4^2 + 8^2

OF^2 = 70.56 + 64

OF^2 = 134.56

OF = 11.6

Answer:

The diameter of Circle P is the same length as the radius of Circle Q.

Step-by-step explanation:

The radius of Circle Q is half of 52cm. So you would divide 52 by 2 and get 26cm as the radius of Circle Q. Therefore, the length of the diameter of Circle P is the same length as the radius of Circle Q.

Answer:

tw ni oe haso layo esma question sodnww aokos

Answer:18ft3

Step-by-step explanation:

Answer:

18 ft ^3

Step-by-step explanation:

i did the test ;)

Volume of a cube is Volume = S^3, where S is the length of one side.

Volume = 2 1/4^3 = 2 1/4 x 2 1/4 x 2 1/4 = 11 25/64 in^3

The answer is D.

Answer: 30 3/8

Step-by-step explanation:

Step-by-step explanation:

\( \frac{4}{p} - 8\)

I hope it helped U

Answer:

P(x) = 35,900 + 2,800(x-1)

Step-by-step explanation:

P(x)

P(1) = $35,900

P(4) = $44,300

Difference in profits

P(4) - P(1)

= P(3)

= $44,300 - $35,900

= $8,400

Rate of change per year = $8,400 / 3

= $2,800 per year

The linear equation

P(x) = 35,900 + 2,800(x-1)

Where

x = number of years

Answer:

Base of the triangle = 7 cm

Step-by-step explanation:

Given information,

→ Area of triangle = 35 cm

→ Height = 10 cm

Now we have to,

→ Find the base of the triangle.

Formula we use,

→ Area = ½ × b × h

Forming the equation,

→ (1/2) × b × 10 = 35

Then the value of b will be,

→ (1/2) × b × 10 = 35

→ (b × 10)/2 = 35

→ 10b/2 = 35

→ 10b = 35 × 2

→ 10b = 70

→ b = 70/10

→ [ b = 7 cm ]

Hence, the value of b is 7 cm.

Answer:

5) B

6) D

7) D

8) B

Step-by-step explanation:

The equation could be used to determine x, the number of seconds, when the two tanks have the same amount of water is 120-1/2x = 100-1/4x

There are many different ways to define an equation. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

Various kinds of equations: Algebraic math equations include the following.

Equation with Lines;

More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.

This equation is of second order. At least one of the variables in a quadratic equation needs to be raised to exponent 2.

A third-order equation is this one. At least one of the variables in cubic equations needs to be increased to exponent 2

Given ,

tank 1 = 120 - 1/2x

tank 2 =100 - 1/4x

Therefore 120-1/2x = 100-1/4x

So we can conclude that  the equation could be used to determine x, the number of seconds, when the two tanks have the same amount of water is 120-1/2x = 100-1/4x

The complete question is: A tank has 120 gallons of water and is being drained at a rate of 12 gallon each second. Another tank has 100 gallons of water and is being drained at a rate of 14 gallon each second. Which equation could be used to determine x, the number of seconds, when the two tanks have the same amount of water? Multiple choice question.

120x + 1/2 = 100x + 1/4

120 + 1/2x = 100 + 1/4x

120x - 1/2 = 100x - 1/4

120 - 1/2x = 100 - 1/4x

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Answer:

A

Step-by-step explanation:

Answer:

38 is the correct answer

Step-by-step explanation:

6 x 7 - 16 ÷ 4

BODMAS

Division first

6 x 7 - 4

Then multiplication

42 - 4

Then subtraction

=38

Cost of posting 3 small, 9 medium and 2 large parcels = $94.45

Let the cost of a small parcel be x

Let the cost of a medium parcel be y

Let the cost of a large parcel be z

Cost of 6 small, 8 medium and 9 large parcels:

6x + 8y + 9z = 173.20------(1)

Cost of 7 small, 13 medium and 17 large parcels:

7x + 13y + 17z = 291.5-------(2)

Also, a large parcel costs twice as much as a small parcel, therefore

z = 2x

Substituting z = 2x in equation (1) and (2) we get:

24x + 8y = 173.20------(3)

41x + 13y = 291.5--------(4)

Multiplying equation (3) with 13 and equation (4) with 8 we get

312x + 104y = 2251.6

328x + 104y = 2332

By solving the equations we get

16x = 80.4

x = 5.02

Putting x = 5.02 in equation (3) we get:

y = 6.59

z = 10.04

Cost of posting 3 small, 9 medium and 2 large parcels: 3*5.02 + 9*6.59 + 2*10.04 = 15.06 + 59.31 + 20.08 = $94.45

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Answer: b = (−ah+2a)/h

Step-by-step explanation:

Step 1: Flip the equation.

Step 2: Add (-1)/2ah to both sides.

Step 3: Divide both sides by h/2.

Answer:

hiya

Step-by-step explanation:

The value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.

A mixed fraction is a fraction that is created by fusing a fraction with a whole number. The fraction is defined as the division of the whole part into an equal number of parts.

The given fractions 34/9, 43/9, and 32/5 can be written in the form of the mixed fraction as below:-

To write the fractions in the form of the mixed fraction first divide the fraction by the complete number and put the remainder on the numerator.

34/9 = 3(⁷/₉)

43/9 = 4(⁷/₉)

32/5 = 6(²/₅)

Therefore, the value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.

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Answer:

Dependent Event

Step-by-step explanation:

Assume that are 10 balls, such that:

\(Red = 6\)

\(Green = 4\)

If the balls are replaced after taken, the probability is:

\(Pr(Red) = 6/10\)

\(Pr(Green) = 4/10\)

This is referred to as independent event; because each selection do not affect the next or previous selection

However, if the balls are not replaced, the probability is:

\(Pr(Red) = 6/10\)

\(Pr(Green) = 5/(10 - 1) = 5/9\)

We subtracted 1 because there is a reduction in the number of balls when the red ball is not returned.

This is referred to as independent event; because a selection affects the next selection

Part A:What is the probability of getting a red jellybean on the first draw?

Given information: Red jellybeans = 12  Yellow jellybeans = 8  Green jellybeans = 4   Total jellybeans = 24                           The probability of getting a red jellybean on the first draw is:

Probability of getting a red jellybean=Number of red jellybeans/Total jellybeans=12/24=1/2=0.5

Decimal: P(1st Red)=0.5 Percent: P(1 st Red )=50%

Part B: Let's say you did get a red jellybean on the first draw.

What is the probability that you will then get a green on the second draw?

Now, the total number of jellybeans is 23, since one red jellybean has been taken out. The probability of getting a green jellybean is: Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174 Decimal: P(2nd Green | 1st Red )=0.174 Percent: P(2nd Green | 1st Red )=17%

Part C: If you had gotten a yellow on the first draw, would your answer to Part B be different?

Yes, because there is only 1 rotten egg yellow jellybean and if it were chosen in the first draw, it would not be returned back to the container. Therefore, the total number of jellybeans would be 23 for the second draw, and the probability of getting a green jellybean would be:

Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174

Thus, the answer would be the same as Part B.

Part D: What is the conditional probability of the dependent event "red then green?"

Given that one red jellybean and one green jellybean are selected: Probability of the first jellybean being red is 1/2

Probability of the second jellybean being green given that the first jellybean is red is 4/23

Probability of "red then green" is calculated as follows: Probability of red then green=P(Red) × P(Green|Red)= 1/2 × 4/23 = 2/23  Decimal: P(1st Red and 2nd Green )=2/23  Percent: P(1st Red and 2nd Green )=8.70%

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At the grand opening, al's furniture store, there is offering spin wheel for discount. The probability that a customer gets a 10% or 20% discount is equals to the 0.75.

At the grand opening, al's furniture store, it offered a spin the wheel for a discount to its customers. The wheel is divided into 12 equal slices.

The percentage of discount awarded by 6 slices = 10%

The percentage of discount awarded by 3 slices = 20%

The percentage of discount awarded by 2 slices = 40%

The percentage of discount awarded by 1 slices

= 100%

We have to determine the probability that a customer gets a 10% or 20% discount. As we see all slices are independent to each other so events related to these also independent.

We have total 12 slices. Since, 6 slices awarded for 10% discount i.e. chances of getting 10% discount is equal = 6/12

Similarly, 3 slices awarded for 20% discount i.e. chances of getting 20% discount is 3/12.

Hence chances of getting 10% or 20% discount is

= P( X = 20%) + P( X= 10%)

= 6/12 + 3/12

= 1/2 + 1/4

= 0.50 + 0.25

= 0.75

Hence, required value is 0.75.

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Susie needs to select minimum 14 to be sure to get 6 marbles of the same color.

With replacement

(3R, 7G, 10B)

P(at least 1 red marble) = 1- p(no red marbles) = 0.5563

P(2R, 2G, 2B) = 0.0827

P(4B, 4G) = 0.0657

Without replacement

P(at least 1 red marble) = 1- p(no red marbles) = 0.6009

P(2R, 2G, 2B) = 0.0731

P(4B, 4G) = 0.0583

if we select 3+5+5=13 marbles then there is only one way that we won't have at least 6 marbles of the same color when 3R, 5G and 5B are selected, so to get 6 marbles of the same color, we need to select minimum 14, then we will be 100% sure.

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Answer:

I believe that the answer would be d

Step-by-step explanation:

The first store has 30% right off the gate and the second store offers 10% off, then an additional 20, therefor amounting to 30% as well.

Also i did the math for the actual price that it would be but when I subtracted the two i didnt get any of the answers.

Answer:

24

Step-by-step explanation:

34 messages per 12 minutes

68 is just 34 mulitplied by 2.

it would take you twice as long because there are twice as many messages.

12 minuted multipled by 2 is 24.

It would take you 24 minutes to send 34 messages.

Answer:

24 minutes

Step-by-step explanation:

34/12

68/x

34*2=68

12*2=24

The estimated answer is 119.4

Here the number to be solved is

8.2 × 6.7 ÷0.46

8.2× 14.5652

= 119.4347

But here in the question, it is asked to round the number up to 1 significant figure. 1 significant figure means that only one number should be there after the decimal. Some example are

98.7645 ≈98.8

67.787 ≈67.9

Therefore the solution answer is 119.43478, and after rounding it up to 1 significant figure the answer of the solution is 119.4

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