A manufacturer must test that his bolts are 4.00cm

long when they come off the assembly line. He must recalibrate his machines if the bolts are too long or too short. After sampling 49

randomly selected bolts off the assembly line, he calculates the sample mean to be 3.87cm

. He knows that the population standard deviation is 0.44cm

. Assuming a level of significance of 0.02

, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines?

Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.

lets remember what it means compound continuously,

the interest never stopped, the balance is earning interest at all time

Joseph is 22 and he wants to know how much money he will have at 55

55-22=33

his balance will gain interest for 33 years, this is our time

there is a 7% rate

the formula is

P(t)= P(0) e ^rt

our t is 33

rate=7%

Joseph will have a balance at age 55, 45,334.99 dollars

The statement "Increasing the step size h in Euler's method generally results in a less accurate estimate of the value y(t_end) that we are looking for" is (b) false because a smaller step size provides a more accurate estimate.

Increasing the step size h used in Euler's method can actually result in a less accurate estimate of the value y(t,end). This is because larger step sizes can lead to increased truncation error and instability in the method. It is generally recommended to use a smaller step size for a more accurate estimate in Euler's method.

A larger step size might not capture the finer details of the function's behavior, leading to more significant errors in the approximation. A smaller step size typically provides a more accurate estimate as it better represents the changes in the function over the interval.

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3264 and 16,415

Step-by-step explanation:

136 x 24= 3264

245 x 67 = 16,415

Answer:

Step-by-step explanation:

See image

Answer:

m∠2=65

Step-by-step explanation:

They are corresponding angels which means they are congruent.

Answer:

4/5h

Step-by-step explanation:

The inequality used to determine v, the minimum number of visits Taylor needs to earn her first free movie ticket is 75 + 6.5v ≥ 100.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given,

Points for signing up = 75 points

Points for each visit to the movie theater = 6.5 points

Let v be the minimum number of visits Taylor needs to earn her first free movie ticket.

Points earned for v visits = 6.5v

She needs at least 100 points for a free movie ticket.

75 + 6.5v will be the points she earn for a free movie ticket.

This expression must be greater than 100, which is the required points for a free movie.

75 + 6.5v ≥ 100

Hence the inequality representing the situation is 75 + 6.5v ≥ 100.

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Answer:

25:15

Step-by-step explanation:

5:3

For every five cakes sole there are 3 pies sold.

40 - 5 = 35

35 - 3 = 32

5:3

32 - 5 = 27

27 - 3 = 24

10:6

24 - 5 = 19

19 - 3 = 17

15: 9

17 - 5 = 12

12 - 3 = 19

20 : 12

19 - 5 = 14

14 - 3 = 11

25 : 15

25 + 15 = 40

Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

Answer:

$36.75

Step-by-step explanation:

If you take the original cost 35.00 and add 5% to it, you would get 36.75. If you think about it, it has to be above $35 since the sales tax would be more.

Answer: A - $36.75

Step-by-step explanation: Used a sale tax calculator. Hope this helps!

Answer:

The answer is 9

Step-by-step explanation:

Answer:

9 or B

Step-by-step explanation:

Got it right on Edge2021

In both cases, the fractions 2/n and m/n will yield terminating decimals.

If 1/n is a terminating decimal, it means that when expressed as a decimal, the fraction 1/n has a finite number of digits after the decimal point. In other words, it does not result in a repeating decimal.

In the case of 2/n, where n is a non-zero integer, the result will also be a terminating decimal. This is because multiplying the numerator of 1/n by 2 does not introduce any additional repeating patterns or infinite decimal expansions. Therefore, 2/n will also have a finite number of digits after the decimal point.

Similarly, if m/n is a fraction where m is a counting number less than n, the resulting decimal will also be terminating. Since m is a counting number less than n, multiplying the numerator of 1/n by m does not introduce any repeating patterns or infinite decimal expansions. Hence, m/n will have a finite number of digits after the decimal point.

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Yes, w is in col(a) since w can be written as a linear equationof the columns in a. No, w is not in nul(a) since w cannot be written as a linear combination of the columns in a with all scalar coefficients being zero.

Yes, w is in col(a) since w can be written as a linear combination of the columns in a. A linear combination of two or more vectors is a vector that can be expressed as a sum of those vectors, with each vector scaled by a scalar (or coefficient). By expressing w as a linear combination of the columns in a, we are saying that w can be expressed as a sum of those columns, with each column scaled by a scalar.

No, w is not in nul(a) since w cannot be written as a linear combination of the columns in a with all scalar coefficients being zero. In other words, w cannot be expressed as a sum of the columns in a such that all coefficients are zero. This is the definition of nul(a): a subspace in which all linear combinations of the columns in a have a coefficient of zero. Since w cannot meet this requirement, then it is not in nul(a).

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Answer:

y= 2/3x + 2

Step-by-step explanation:

Answer:

angle B = 58

Step-by-step explanation:

Complementary means that both angles add up to 90°.

Both angles are 9x-40 and 2x+42. Sum of both equal 90°

9x-40+2x+42=90

Combine like terms — we get:

11x+2=90

11x=90-2

11x=88

x = 8

Since we want to find angle B, substitute x = 8 in 2x+42

angle B = 2(8)+42

= 16+42

= 58

Therefore, angle B is 58.

Step-by-step explanation:

Solution,

Given,

angle A = (9x-40)°

angle B= (2x+42)°

angle A and angle B are complementary

We know that,

complementary means having 90° when added,

Therefore,

(9x-40°)+(2x+42)°=90°

9x°-40°+2x°+42°=90°

11x°+2°=90°

11x°=90°-2°

11x°=88°

x°=88°/11

x°=8

Hence,

angle A=(9x-40)°

=(9×8-40)°

=32°

angle B=(2x+42°)

=(2×8+42)°

=58°

Answer:

A

Step-by-step explanation:

$355:5

$355 divided by 5=$71

5 divided by 5=1

$71 per week

$71x15.5=$1,100.50

$1,100.50 in 15.5 weeks

Answer: $6,400

Step-by-step explanation:

First, let's take the given numbers

Starts the account with $1600

Deposits $200 each week after opening it

25 weeks

We can't count the first week because it says "thereafter"

So we need to do 24x200

which is 4,800

Now we must add the original amount deposited and the amount of money added in 25 weeks

1,600+4,800

$6,400

Answer:

x=5+√136or x=5−√136

Step-by-step explanation:

To solve this equation we have to factorize 3x2−5x+1. Since we can not use any

The unit price of the souvenirs for female teachers is RM5.50.

First, let's define some variables to represent the information given in the problem:

Let M be the number of male teachers

Let F be the number of female teachers

Let P_M be the unit price of the souvenirs for male teachers

Let P_F be the unit price of the souvenirs for female teachers

We are given that M = 16, F = 28, and P_M = RM5. The problem asks us to find P_F.

We can set up the following equation to represent the total cost of the souvenirs:

(M * P_M) + (F * P_F) = RM234

Substituting in the values we know, we get:

(16 * RM5) + (28 * P_F) = RM234

Solving for P_F, we find:

P_F = (RM234 - (16 * RM5)) / 28

P_F = (RM234 - RM80) / 28

P_F = RM154 / 28

P_F = RM5.50

Therefore, the unit price of the souvenirs for female teachers is RM5.50.

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Answer: The missing side length is approximately 11.54.

Step-by-step explanation: To find the missing side length using the Pythagorean theorem, we need to identify which sides of the right triangle are given. The equation a² + b² = c² represents the Pythagorean theorem, where a and b are the lengths of the two legs of the right triangle, and c is the length of the hypotenuse.

Let's assume that a and b are the given side lengths, and we need to find the length of the hypotenuse (c).

Using the Pythagorean theorem, we have:

a² + b² = c²

Substituting the given values, we have:

a² + 6² = 13²

Simplifying:

a² + 36 = 169

Next, we isolate the variable a by subtracting 36 from both sides:

a² = 169 - 36

a² = 133

To find the value of a, we can take the square root of both sides:

√(a²) = √(133)

a = √(133)

So the length of the missing side is √(133), which is approximately 11.54 (rounded to two decimal places).

Answer: Parallel lines are marked with "feathers". Notice how they appear assets: the lines with one feather are parallels, and the lines with two feathers are parallel. A "box" at the point of intersection indicates the lines are perpendicular.

I found this on the web, maybe it will help you. Sorry if you still don't understand.

Answer:

The answer could be a||b

Step-by-step explanation:

The question doesn't have the information to be answered there might be an image missing.

Answer:

A. 8

Step-by-step explanation:

Answer:

A/8

Step-by-step explanation:

Since you need to get x by itself you have to subtract the one on both sides. Then the equation is x/2=4 Since x is being divided by the 2 you have to multiply by two on both sides. That  leaves you with x=8

The vertex and the range are (5, 4) and y ≥ 4

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

y = |x - 5| + 4

The above function is an absolute value function

So, we have

Vertex = (5, 4)

Because the leading coeffiecient is positive, then it means that the vertex is a minumum

So, we have

Range: y ≥ 4

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Answer:

\( \frac{ \sqrt{10} }{5} \)

or .632

Step-by-step explanation:

You have the beginning right.

However, it is X squared, so once you have the answer from adding the two fractions together, you have to Square Root that answer.

Answer:

x= √(10/25)

Step-by-step explanation:

From what you've written, you're on the right track. The formula is a^2+b^2=c^2. our two sides are a and b (doesn't really matter here which is which). And the hypotenuse, the longest leg the diagonal, is always c. Based on your substitution, everything is correct, except x. x should be squared. so the equation you should have is (1/5)^2 + (3/5)^2=x^2. From there, solve for x by adding a^2 and b^2 to get 10/25 = x^2.

Take the square root of each side to find √(10/25)=√(x^2). This is simplified as x equals plus or minus √(10/25). it's plus or minus because you took the square root. It's important to write that when solving square root. However, since this is a triangle your answer will be positive(you can't have negative distance).

Answer:

25/144

Step-by-step explanation:

The probability of it occurring once is 5/12, which means that the probability of it occurring twice is (5/12 x 5/12) = 25/144.

Answer:

Nicholas can order up to 3 toppings.

Step-by-step explanation:

Solve for the tip:

15% of the total cost = 15% × $7.50

Convert percentage into a decimal:

0.15 × 7.50 = 1.125

Variable x = number of toppings

Set up an equation:

7.50 + 1.125 + 1.25x = 13

Combine like terms:

8.625 + 1.25x = 13

1.25x = 4.375

x = 3.5

Since it is impossible to order "half" of a topping (0.5), Nicholas can only order up to 3 toppings.

Answer:

The segment that connects the midpoints of the legs of a trapezoid is called the median of the trapezoid.

Step-by-step explanation: