trying to help my kid​

Answer:

x = - \(\frac{3}{4}\) , x = 1

Step-by-step explanation:

4x² = x + 3 ← subtract x + 3 from both sides

4x² - x - 3 = 0 ← in standard form

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 4 × - 3 = - 12 and sum = - 1

the factors are - 4 and + 3

use these factors to split the x- term

4x² - 4x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )

4x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(4x + 3) = 0 ← in factored form

equate each factor to zero and solve for x

4x + 3 = 0 ( subtract 3 from each side )

4x = - 3 ( divide both sides by 4 )

x = - \(\frac{3}{4}\)

x - 1 = 0 ( add 1 to both sides )

x = 1

solutions are x = - \(\frac{3}{4}\) , x = 1

The relative frequency of landing on heads is 0.4, then the correct option is D.

When we have an experiment with some outcomes, and we perform the experiment N times, and in K of these N times we get a particular outcome, then the relative frequency for that outcome is K/N

In this case the coin is flipped 35 times and it lands on heasd 14 times, then the relative frequency of landing on heads is:

R = 14/35 = 0.4

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Answer:

D. 72/100

Step-by-step explanation:

3/10 is equal to 30/100.

42/100 + 30/100 = 72/100

i hope that made sense. good luck!

Answer:

D, 72/100

Step-by-step explanation:

Ignore the extra two blocks for now

then add the four tens and the three ten together. 30 + 40 = 70

Then bring back the extra two blocks and add them to the end.

Hope this helps! :)

Hey there!

The answer is 4 meters, or 4 m.

The formula for volume is lwh, or Length * Width * Height, so we can set up an equation plugging in the values we know:

lwh = V

l(2)(10) = 80

Simplify:

20l = 80

Divide both sides by 20:

l = 4

Have a terrificly amazing day! :)

Answer:

\(Area = 27cm^2\)

\(P=23cm\)

Step-by-step explanation:

Required

The area and the perimeter

Solving (a): The area

The shape is a composite figure withe following characteristics:

Rectangle 1: 3cm by 5cm

Rectangle 2: 2cm by 6cm

So, the area is the sum of the areas of both rectangles

\(Area = 3cm * 5cm + 2cm*6cm\)

\(Area = 15cm^2 + 12cm^2\)

\(Area = 27cm^2\)

Solving (b): The perimeter

This is calculated as:

\(P=3cm + 5cm + 2cm+6cm + 2cm + 5cm\) --- sum of all lengths

\(P=23cm\)

Answer:

100 degrees

180-30=150

150-50=10

100

Pour développer il faut appliquer la distributivité de la multiplication :

7m + 5.5(2+m) = 7m + 5.5 x 2 + 5.5m

= 7m + 11 + 5.5m

Il faut combiner les termes contenant m :

= 7m + 5.5m + 11

= (7 + 5.5)m + 11

= 12.5m + 11

Answer:

uhh, whats the question? id like to answer :/

Answer:

∠ ABC = 49°

Step-by-step explanation:

the chord- tangent angle ABC is half the measure of the intercepted arc AB

∠ ABC = \(\frac{1}{2}\) AB = \(\frac{1}{2}\) × 98° = 49°

Answer:

76%

Step-by-step explanation:

57/75

(57 X 100)/ 75

5700/75

1900/25

76/1

76

The value of x for the given inequality is always greater than and equal to -3/4.

In the given question we have to find the value of x.

The given inequality is 5x+8 ≤2-3x.

Now solving the given inequality.

To solve the inequality we firstly subtract 2 on both side, Then we equate the coefficient and variable in one side.

5x+8 ≤2-3x

Subtract 2 on both side, we get

5x+6≤-3x

Now subtract 5x on both side, we get

6≤-8x

Now divide by -8 on bot side, we get;

x≤-6/8

x≤-3/4

We change the inequality because the sign is changed.

Hence, the value of x for the given inequality is always greater than and equal to -3/4.

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Answer:

g

Step-by-step explanation:

Uhm hope this help (:

8,549,176,320 What makes this number unique? Answer: The said number has all the numbers from 0-9 exactly once and what is special is they are in lexicographical order of their English words.

Answer:

Step-by-step explanation:

254

Answer: We are given that the area of the rectangular room is 750 square feet, and the width of the room is 5 feet less than the length of the room.

Let's use y to represent the length of the room in feet. Then, the width of the room would be y - 5.

The area of a rectangle is given by the product of its length and width. Therefore, we can set up an equation:

y(y - 5) = 750

Expanding the left-hand side, we get:

y^2 - 5y = 750

This is one equation that can be used to solve for y.

Another option is to rearrange the previous equation to get:

y^2 - 5y - 750 = 0

This is a quadratic equation that can be solved using the quadratic formula or factoring.

A third option is to use the equation:

(y + 25)(y - 30) = 0

This equation can be obtained by factoring the previous quadratic equation. The solutions to this equation are y = -25 and y = 30, but since the length of the room cannot be negative, the only valid solution is y = 30.

Therefore, the three equations that can be used to solve for y are:

y(y - 5) = 750

y^2 - 5y - 750 = 0

(y + 25)(y - 30) = 0

Step-by-step explanation:

The mean of the data is 1097.5

A mean in math is the average of a data set, found by adding all numbers together and then dividing the sum of the numbers by the number of numbers. For example, with the data set: 8, 9, 5, 6, 7, the mean is 7, as 8 + 9 + 5 + 6 + 7 = 35, 35/5 = 7.

Mean = summation of item /number of items

summation of item = 4390

number of items = 4

therefore mean = 4390/4

= 1,097.5

therefore the mean if the data is 1,097.5

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The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm.

Step 1: State the hypotheses.

- Null Hypothesis (H₀): The mean length of the bolts is 4.00 cm (μ = 4.00).

- Alternative Hypothesis (H₁): The mean length of the bolts is not equal to 4.00 cm (μ ≠ 4.00).

Step 2: Compute the value of the test statistic.

To compute the test statistic, we will use the z-test since the population standard deviation (σ) is known, and the sample size (n) is large (n = 121).

The formula for the z-test statistic is:

z = (X- μ) / (σ / √n)

Where:

X is the sample mean (4.21 cm),

μ is the population mean (4.00 cm),

σ is the population standard deviation (0.83 cm), and

n is the sample size (121).

Plugging in the values, we get:

z = (4.21 - 4.00) / (0.83 / √121)

z = 0.21 / (0.83 / 11)

z = 0.21 / 0.0753

z ≈ 2.79 (rounded to two decimal places)

Step 3: Determine the critical value and make a decision.

With a level of significance of 0.02, we perform a two-tailed test. Since we want to determine if the mean length of the bolts is different from 4.00 cm, we will reject the null hypothesis if the test statistic falls in either tail beyond the critical values.

For a significance level of 0.02, the critical value is approximately ±2.58 (obtained from the z-table).

Since the calculated test statistic (2.79) is greater than the critical value (2.58), we reject the null hypothesis.

Conclusion:

Based on the computed test statistic, there is sufficient evidence to show that the manufacturer needs to recalibrate the machines. The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm, indicating that the machine's output is not meeting the desired length. The manufacturer should take action to recalibrate the machines to ensure the bolts meet the required length of 4.00 cm.

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The total surface area of the solid shape made from the cube and cylinder is approximately 583.31 cm².

The side length of the cube is 8.7 cm, so the surface area of one face is A = 8.7²

= 75.69 cm²

Since there are six faces, the total surface area of the cube is 6 * 75.69 = 454.14 cm²

Since there are two circular bases, the total surface area of the bases is 2 * 22.91 = 45.82 cm².

In this case, the radius of the cylinder is 2.7 cm and the height is 4.9 cm, so the curved surface area is A_curved = 2 * π * 2.7 * 4.9 ≈ 83.35 cm².

Total surface area = surface area of the cube + surface area of the cylinder

Total surface area = 454.14 cm² + 45.82 cm² + 83.35 cm²

Total surface area ≈ 583.31 cm²

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Answer:

(-4,4)

Step-by-step explanation:

The simplified expression of the radical expression ∛135a¹³ is (135a¹³)¹/³

From the question, we have the following parameters that can be used in our computation:

A radical expression

The radical expression is given as

\sqrt[3]{135^{a13}}

Represent the expression properly

So, we have the following representation

∛135a¹³

Apply the exponent rule of indices

This gives

∛135a¹³ = (135a¹³)¹/³

135 and a¹³ are not perfect cube root expressions

This means that the expression cannot be further simplified

Hence, the solution is (135a¹³)¹/³

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Answer:

45mins

Step-by-step explanation:

The time required to produce 100 parts will be 10 minutes.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a machine produces 4500 parts in an 8-hour day. The time will be calculated as below:-

4500 parts = 8 hours

100 parts = 8 / 45 hours

100 parts = ( 8 x 60 ) 45 minutes

100 parts = 10 minutes

Therefore, the time required to produce 100 parts will be 10 minutes.

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Answer:

C. No, this is not a good statistical question because there are not a.

Step-by-step explanation:

Your welcome! Please mark brainliest!

(Or please correct me if I'm wrong)

Answer:

Nolan's account balance would be $1800 after 4 years

Step-by-step explanation:

Simple Interest

Interest is calculated only on the original principal of a loan or on the balance of an account.

Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=P.r.t

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

Nolan has a savings account that pays r=5% = 0.05 with an initial balance of P=$1500. It's required to find the account's balance after t=4 years.

Substituting in the formula:

I = $1500 * 0.05 * 4

I = $300

The final balance is:

A = P + I = $1500 + $300 = $1800

Nolan's account balance would be $1800 after 4 years

Answer:

Can you link a table or something? We cant solve this problem without more information.

Step-by-step explanation:

Answer:

24 oz

Step-by-step explanation:

can i have brainliest i've never got one

The constant of proportionality in the box to match the table will be 2/3. Then the last option is correct.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The table is given below.

x      y

0     0

3      2

6      4

9      6

The variable 'y' is directly proportional to the variable 'x'. Then we have

y ∝ x

y = k x

At (9, 6), the value of the constant 'k' is given as,

6 = 9k

k = 6 / 9

k = 2/3

The proportionality is given as,

y = (2/3) x

The constant of proportionality in the box to match the table will be 2/3. Then the last option is correct.

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Answer:

6759134.

Step-by-step explanation:

Answer:

6759034

Step-by-step explanation:

Solution

For this case we can convert the pounds to ounces first like this:

and we can find the serving with the following operation:

then the final answer would be 10 servings

The probability that the third largest observation in the sample is less than 0.7 is  0.2401 =  24.01%.

The sample size n = 5,

Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.

Probability that X₃ is less than 0.7:

Since X₃ is the third largest observation =  (X₁ and X₂) < 0.7.

The probability that X₃ is less than 0.7 is (0.7)² = 0.49.

.

The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.

We then get the product of both cases:

Probability = 0.49 * 0.49 = 0.2401

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Answer:

what exactly do i need to do ?????

Step-by-step explanation:

Answer:

2.1087

Step-by-step explanation:

0.297

7.1 +

2.1087