Joel had 4 liters of water. He drank 2.7 liters of water while he was hiking. How many liters does Joel have left?

Here is the final matching of multiplication expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9 ≈ 173

81.4 x 32.1 ≈ 2,618

32.9 x 4.81 ≈ 158

46.7 x 31.7 ≈ 1,479

59.3 x 3.57 ≈ 212

Match each multiplication expression on the left with the best estimate of its product on the right:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9

81.4 x 32.1

32.9 x 4.81

46.7 x 31.7

59.3 x 3.57

Matching the expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

Estimates for the remaining expressions:

29.3 x 5.9 ≈ 173.27

81.4 x 32.1 ≈ 2,612.94

32.9 x 4.81 ≈ 158.05

46.7 x 31.7 ≈ 1,480.39

59.3 x 3.57 ≈ 211.46

Matching the expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9 ≈ 173.27

81.4 x 32.1 ≈ 2,612.94

32.9 x 4.81 ≈ 158.05

46.7 x 31.7 ≈ 1,480.39

59.3 x 3.57 ≈ 211.46

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Answer:

X = 8⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Answer:

Step-by-step explanation:

\(13x-\dfrac{1}{2}(4x + 50) = 8x - 1\\\\13x -\dfrac{1}{2}*4x - \dfrac{1}{2}*50 = 8x - 1\)

13x  - 2x  - 25 = 8x - 1

11x - 25 = 8x - 1

11x = 8x - 1 + 25

11x = 8x + 24

11x- 8x = 24

3x = 24

x = 24/3

x = 8

Answer:

A) 65

B) 60

Step-by-step explanation:

64.9963 rounds to 65

To the nearest 10 it would round down as the second intiger the 4 is below 5 meaning as a result it rounds down

After rounding  the given number 64.9963:

(a) Near 2 decimal places is: 64.70

(b) And the nearest 10 is: 60

When you round a number to a certain digit, you have to check the value of the digit before the place you want to round off to.

1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

The given number is:

64.9963

To round off the nearest 2 decimal places:

Since the third digit after the decimal is 6 which is greater than 5.

Add 1 to their previous digit.

Therefore,

After rounding near to 2 decimal places the number becomes:

64.70

To round off the nearest 10:

Since the tense digit is 4 and it is less than 5

Therefore,

The number after rounding off the nearest 10 is:

60.

Hence, after rounding the number:

Near 2 decimal places is: 64.70

And the nearest 10 is: 60

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35 is a reasonable prediction of the number of times he will select 2 yellow socks?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain to occur. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

In probability theory, an event is a set of outcomes or a subset of a sample space. In simpler terms, an event is anything that can happen, or any possible outcome of an experiment or observation. An event can be a single outcome, or it can consist of multiple outcomes.

In the given question,

The theoretical probability of drawing two yellow socks with replacement from a bag containing equal numbers of red, yellow, green, blue, and purple socks is:

P(drawing two yellow socks) = P(yellow) * P(yellow) = (1/5) * (1/5) = 1/25

So, the probability of drawing two yellow socks from the bag in any given trial is 1/25.

To predict the number of times the child will select two yellow socks in 175 trials, we can use the formula for the expected value of a discrete random variable:

E(X) = n * p

where E(X) is the expected number of times the event occurs, n is the number of trials, and p is the probability of the event occurring in a single trial.

In this case, n = 175 and p = 1/25. So,

E(X) = 175 * (1/25) = 7

Therefore, a reasonable prediction of the number of times the child will select two yellow socks in 175 trials is 7. Since this prediction is not one of the answer choices, the closest option is 35, which is more than five times the expected value. However, this is within the range of possible outcomes due to the random nature of the experiment.

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p-value is a measure of the probability that an observed difference could have occurred just by random chance.

Answer:

The calculated value of t= -0.9468 does not lie in the critical region t= -1.701. Therefore we accept our null hypothesis that mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software at the 0.05 significance level

Step-by-step explanation:

Categories         Sample Size           Mean           Standard D

Traditional Lab        17                        71.5                    4.8

Software                 13                        78. 5                    6

We are using Student's t- test considering that the population variance is equal.

We formulate null and alternate hypotheses are

H0 : u1 < u2 against Ha: u1 ≥ u 2

The Significance level alpha is chosen to be ∝ = 0.05

The critical region t ≤ -t (0.05, 28) = -1.701

Degrees of freedom is calculated df = υ= n1+n2- 2= 17+13-2= 28

Here the difference between the sample means is x`1- x`2= 71.5-78.5= -7

The pooled estimate for the common variance σ² is

Sp² = 1/n1+n2 -2 [ ∑ (x1i - x1`)² + ∑ (x2j - x`2)²]

= 1/17+13-2 [ 71.5²+78.5²]

Sp = 20.0664

The test statistic is

t = (x`1- x` ) /. Sp √1/n1 + 1/n2

t= -7/ 20.0664 √1/17+ 1/13

t= -7/7.393

t= -0.9468

The calculated value of t= -0.9468 does not lie in the critical region t= -1.701. Therefore we accept our null hypothesis that mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software at the 0.05 significance level

Answer:

Step-by-step explanation:

12 - x/10 = 28

Answer:what are all the choices

Also it’s 0

Step-by-step explanation:

Answer:

Hope this helps

Step-by-step explanation:

full explanation in the given picture

Answer:

A, C, and D

Explanation:

32 rows

15 seats per 1 row

So,

32 × 15 = k

You can try arranging to get more choices.

32 × 15 = k

32 = k ÷ 15

and

32 × 15 = k

15 × 32 = k

15 = k ÷ 32

Answer:

y = mx + b

Step-by-step explanation:

The cost of the gift is $38.75

Here, we want to get the cost of the gift

From the question, we are told that the amount the aunty gave is 2/5 of the cost

Since we do not know the amount of the gift, let us call it $x

Mathematically;

The slope which shows  the cost per guest is $35 per guest

The given cost for 50 guests is $2150.

The cost for 75 guests is $3025.

It can also be represented as:

(Guest, Cost) =(50, $2150) & (75, $3025)

The slope can now be calculated as

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (50, $2150) & (75, $3025)

Substituting the given values in the equation as follows:

Slope = (3025 - 2150)/(75 - 50)

Slope = 35

Hence, the slope is $35 per guest.

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Answer:D

Step-by-step explanation:

Answer:

9/20 = 0.45

3/10 = 0.3

7/12 = 0.5833333

4/5 = 0.8

2/3 = 0.66667

5/6 = 1.6667

1/6 = 0.16667

15/16 = 0.9375

2/15 = 0.13333

4/11 = 0.3636

5/8 = 0.625

13 / 16 = 0.8125

3/25 = 0.12

4/9 = 0.4444

8/9 = 0.88889

11/16 = 0.6895

14 / 25 = 0.56

11/15 = 0.7333

Step-by-step explanation:

9/20 = 0.45

3/10 = 0.3

7/12 = 0.5833333

4/5 = 0.8

2/3 = 0.66667

5/6 = 1.6667

1/6 = 0.16667

15/16 = 0.9375

2/15 = 0.13333

4/11 = 0.3636

5/8 = 0.625

13 / 16 = 0.8125

3/25 = 0.12

4/9 = 0.4444

8/9 = 0.88889

11/16 = 0.6895

14 / 25 = 0.56

11/15 = 0.7333

Answer:

3 4/8

Step-by-step explanation:

Answer:

The perimeter of the rectangle is 3.5 m or 350 cm.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Using the sample data to test the hypothesis, we have that:

77% of the sample of 1176 adults rated themselves as above average drivers, that is:

\(0.77(1176) = 906\).

Thus, the actual number of respondents who rated themselves as above average drivers is 906.

At the null hypothesis, we test if the proportion is \(\displaystyle \frac{7}{10} = 0.7\), that is:

\(H_0: p = 0.7\)

At the alternative hypothesis, we test if the proportion is greater than 70%, that is:

\(H_1: p \geq 0.7\)

The test statistic is given by:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

In this problem, the parameters are \(\overline{p} = 0.77, p = 0.7, n = 1176\).

Thus, the value of the test statistic is:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.77 - 0.7}{\sqrt{\frac{0.7(0.3)}{1176}}}\)

\(z = 5.24\)

The p-value of the test is the probability of finding a sample proportion above 0.77, which is 1 subtracted by the p-value of z = 5.24.

Looking at the z-table, z = 5.24 has a p-value of 1.

1 - 1 = 0.

The p-value of the test is 0, which is less than the standard significance level of 0.05, thus we can conclude that the proportion respondents who rated themselves as above average drivers is greater than 0.7.

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Answer:

C: x > 4

none of the others

Answer:

The answer is the 1st one (A) because it already is written in standard form.

Step-by-step explanation:

The solution to the inequality is x >= -2 for inequality 3x-5≥-11

The given inequality is 3x-5≥-11

Three times of x greater than or equal to minus eleven

x is the variable

3x - 5≥ -11:

Adding 5 to both sides, we get:

3x ≥ -6

Dividing both sides by 3, we get:

solution is  x≥-2

Therefore, the solution to the inequality is x >= -2.

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The base area of the prism is 2x² + 5x - 18

From the question, the given parameters are

Volume = 2 x cubed + 9 x squared minus 8 x minus 36

Height =  x + 2

Rewrite properly as

Volume = 2x³ + 9x² - 8x - 36

Height =  x + 2

The base area is calculated as

Base area = Volume/Height

Using the synthetic division, we have

Set the divisor to 0

x + 2 = 0

This gives

x = -2

So, we have the representation to be

-2 | 2   9  - 8  - 36

Write out 2

So, we have

-2 | 2   9  - 8  - 36

     2

Multiply 2 and -2

This gives

-2 | 2   9  - 8  - 36

          -4

     2

So, we have

-2 | 2   9  - 8  - 36

          -4

     2    5

Repeat the process

So, we have

-2 | 2   9  - 8  - 36

          -4  -10

     2    5   -18

Repeat the process

So, we have

-2 | 2   9  - 8  - 36

          -4  -10   36

     2    5   -18    0

This means that

Base area = 2x² + 5x - 18

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Answer:

A and E

Step-by-step explanation:

x²+3x-28=0

x²+7x-4x-28=0

x(x+7)-4(x+7)=0

(x-4)(x+7)=0

x=4, x= -7

Please give brainliest if it helps

Input: list1 = [2, 7, 5, 64, 14]

Output: [7, 5]

Input: list2 = [12, 14, 95, 3, 73]

Output: [95, 3, 73]

Using for loop: Iterate each element in the list using for loop and check if num % 2 != 0. If the condition satisfies, then only print the number.

# Python program to print odd Numbers in a List

# list of numbers

list1 = [10, 21, 4, 45, 66, 93]

# iterating each number in the list

for num in list1:

   # checking condition

   if num % 2 != 0:

   print(num, end=" ")

Output: 21 45 93

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The correct answer is A. a characteristic of the population.

A population parameter refers to a specific characteristic

A population parameter refers to a specific characteristic or numerical value that describes the entire population being studied. It is a fixed value that is typically unknown and estimated using sample data. Examples of population parameters include the population mean, population standard deviation, population proportion, etc.

The first step in evaluating the expression 3x{9-(4+2)/2 is to simplify the innermost parentheses. By performing operations within parentheses first, we can simplify the expression and make it easier to evaluate.

To begin, we evaluate the expression within the parentheses (4+2), which equals 6. Thus, the original expression becomes 3x{9-6/2}.

The next step is to simplify the division operation. We divide 6 by 2, resulting in 3. Now the expression becomes 3x{9-3}.

The subsequent step is to simplify the subtraction operation. We subtract 3 from 9, giving us 6. The expression now becomes 3x6.

Finally, we multiply 3 by 6, yielding a final result of 18. Therefore, the evaluation of the expression 3x{9-(4+2)/2 is equal to 18.

By simplifying the parentheses, performing the division, and evaluating the subtraction, we systematically reduce the expression to its simplest form. Following the order of operations (also known as PEMDAS or BODMAS), which prioritizes parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right), ensures an accurate evaluation of the expression.

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Answer:

x=100 y=80

Step-by-step explanation:

Answer:

1.    B. x = 100

2.   A. y = 80

Step-by-step explanation:

x° and 80° form a linear pair. That means that their measures add up to 180°.

x° + 80° = 180°

x = 100

y° is vertical with 80°. Vertical angles are congruent, so their measures are equal.

y = 80

Answer:

\(\frac{2}{3} \ part \ of \ right \ angle \ is \ \frac{1}{6} \ part \ of \ a \ whole \ wheel.\)

Step-by-step explanation:

\(\frac{2}{3} \ of \ a \ right \ angle \ = \frac{2}{3} \times 90^{\circ} = 60^{ \circ}\\\\A \ whole \ wheel \ is \ = 360^ {\circ}\\\\\)

Now to find what part of 360 is 60 :

\(Let \ it \ be \ x\\\\x \times 360 = 60 \\\\x = \frac{60}{360} = \frac{1}{6}\)

Therefore ,

          \(\frac{2}{3} \ part \ of \ right \ angle \ is \ \frac{1}{6} \ part \ of \ a \ whole \ wheel.\)

Answer:

Step-by-step explanation:

area=16×8+1/2×3×6

=128+9

=137 sq. ft.