For the following set of data, find the population standard deviation, to the nearest hundredth.217, 137, 118, 67, 107, 177, 143, 120

Answer:

A 1.04d

Step-by-step explanation:

The amount of the loan (d) must be paid, along with the interest (0.04d).

d + 0.04d = 1.04d

Answer : The correct options are, (A), (C) and (D)

Step-by-step explanation :

Given:

Principle = P = (d) dollars

Interest rate = R = 4 %

Time = T = 1 year

First we have to determine the simple interest.

Using simple interest formula:

where,

P = principle  

R = interest rate

T = time

S.I = simple interest

Now put all the given values in the above formula, we get:

Now we have to determine the total amount.

Amount = Principle + Simple interest

Amount = d + 0.04d

Amount = 1.04 d

Amount = d + 1/25d

Thus, the correct options are, (A), (C) and (D)

Answer:

k is 65

Step-by-step explanation:

isolate the variables by dividing each side by factors that don't contain the variable

Answer:2.8

Step-by-step explanation:add 3.5 to the 10.5 which equals 14 then you divide 5 by 14 to get the y alone and it equals 2.8

\(1/2 * 2 * 1 = 1\) square unit.

Step-by-step explanation:

To find the maximum area of the triangle, we need to locate the vertex of the parabola. This occurs when x=1. The y-coordinate at x=1 is 1. We can then use this as the height of the triangle. The base of the triangle is the distance between x=0 and x=2, which is 2. Therefore, the maximum area of the triangle is 1/2 * 2 * 1 = 1 square unit.

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

The appropriate hypothesis test is a two-sample t-test for independent samples.

The appropriate hypothesis test in this scenario is a two-sample t-test for independent samples. Since the population standard deviations are known, we can use the Z-test instead.

The test statistic can be calculated using the formula:

t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))

Where:

x1 and x2 are the sample means for Manufacturer A and Manufacturer B, respectively.

s1 and s2 are the population standard deviations for Manufacturer A and Manufacturer B, respectively.

n1 and n2 are the sample sizes for Manufacturer A and Manufacturer B, respectively.

Plugging in the given values:

x1 = 179, x2 = 178, s1 = 1, s2 = 5, n1 = n2 = 108

t = (179 - 178) / sqrt((1^2 / 108) + (5^2 / 108))

t = 1 / sqrt(0.00926 + 0.0463)

t ≈ 1 / sqrt(0.05556)

t ≈ 1 / 0.2357

t ≈ 4.241

To determine whether there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different, we compare the calculated t-value to the critical value from the t-distribution at the desired significance level (0.05).

The decision depends on the degrees of freedom for the test, which is calculated as (n1 + n2 - 2) = (108 + 108 - 2) = 214.

Using a t-table or statistical software, we find that the critical value for a two-tailed test with a significance level of 0.05 and 214 degrees of freedom is approximately ±1.972.

Since the calculated t-value of 4.241 exceeds the critical value of 1.972, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different at the 0.05 significance level.

For more such question on hypothesis

https://brainly.com/question/25263462

#SPJ8

Answer:

6

Step-by-step explanation:

The two triangles are similar which means the the two length is parallel

.°., the Length of the smaller triangle=6

Answer:

All real numbers are solutions.

Step-by-step explanation:

Let's solve your equation step-by-step.

−3(x−14)+9x=6x+42

Step 1: Simplify both sides of the equation.

−3(x−14)+9x=6x+42

(−3)(x)+(−3)(−14)+9x=6x+42(Distribute)

−3x+42+9x=6x+42

(−3x+9x)+(42)=6x+42(Combine Like Terms)

6x+42=6x+42

6x+42=6x+42

Step 2: Subtract 6x from both sides.

6x+42−6x=6x+42−6x

42=42

Step 3: Subtract 42 from both sides.

42−42=42−42

0=0

Answer:

all real numbers

Step-by-step explanation:

-3 (x - 14) + 9x = 6x + 42

-3 (x - 14) + 9x - 6x = 6x - 6x + 42

-3 (x - 14) + 3x = 42

-3 (x) - 3 (-14) + 3x = 42

-3x + 42 + 3x = 42

3x - 3x + 42 = 42

42 = 42

Answer:

Step-by-step explanation:

yes

no

no

ye

The length of side AB is about 5.87 units.

The triangle ABC is a right angle triangle. A right angle triangle is a triangle that has one of its angles as 90 degrees.

Therefore, let's find the length AB in the right triangle.

Using trigonometric ratios,

cos 33 = adjacent / hypotenuse

Therefore,

Adjacent side = AB

hypotenuse side = 7 units

cos 33° = AB / 7

cross multiply

AB = 7 cos 33

AB = 7 × 0.83867056794

AB = 5.87069397562

AB = 5.87 units

learn more on right triangle here: https://brainly.com/question/30966657

#SPJ1

The deli needs to sell the tuna salad at a price of R2.33 per kg to achieve a profit of 40% of the selling price after 5kg spoilage.

A desired profit also known as target profit means expected amount of profit that the managers of a business expect to achieve by the end of a designated accounting period.

First, let's calculate the cost of the tuna salad the deli purchased:

= 45kg x R1.48/kg

= R66.60

How much tuna salad the deli has left after spoilage:

= 45kg - 5kg

= 40kg

To achieve a profit of 40% of the selling price, the selling price should be 140% of the cost price: which is:

= 140% of cost price

= 1.4 x R66.60

= R93.24

To find the price per kilogram, we divide the selling price by the remaining amount of tuna salad:

= Selling price / Remaining amount of tuna salad

= R93.24 / 40kg

= R2.33/kg

Read more about selling price

brainly.com/question/1445853

#SPJ1

Answer: 6 dolla per kg

Step-by-step explanation:

=====================================================

Explanation:

The first two rows are already done. They have X's for every month to indicate a monthly payment regularly throughout the year without any extra conditions/requirements.

The third row will have exactly 4 copies of X in it. Two of them are already placed for January and April. The other two payments are in July and October. Notice the months are spaced 3 apart and how 12/4 = 3.

The fourth row will have X's across every cell in the same way the first row does since the internet bill is monthly. The same applies to the cell phone bill and food rows.

Something like the car loan will only have 2 copies of X in that row. Semiannual means twice a year, aka every 6 months. One copy of X is already placed for us in this row. This is in January (month 1). Six months later in month 1+6 = 7 (July) is when the next car loan payment occurs.

Lawn care will have X's only for the months of April through September; any other month won't have an X.

Day care will have X's for February, April, June, August, October, December. We start with February and alternate each month to fill out the rest of the year. This is due to the phrasing "every other month".

The gym membership will have one X for July only, since it's an annual payment.

Answer:

16 pieces

Step-by-step explanation:

(100*100)-(25*25)=16

The range is all Y VALUES, and the graph goes from -1 to 5, so the answer is -1≤x≤5, which I believe is C.

Answer:

A

Step-by-step explanation:

Close to 0 means there isn't a certain number, and there also isn't a certain answer for what the probability. While all of the others are alreaady stated, this is the only one that is not.

7 added to a number, 7 plus a number, 7 and a number, etc. It's written in many ways.

---

sorry if this doesn't help

Answer:

also you can do the sum of y and 7 or y increased by 7

7 added to y

The total area of the composite figure which has triangle and rectangle is  24.41 square inches

The given composite figure has two triangles and one rectangle

Area of rectangle =length × width

=4.6×3.15

=14.49 square inches

Area of left side triangle, it has base of 3.3 in and height 3.15 inches

Area of triangle = 1/2×3.3×3.15

=5.1975 square inches

Area of triangle on right side

Base = 3 in

Height = 6.3-3.15=3.15 in

Area of triangle = 1/2×3×3.15

=4.725 square inches

Total area = 14.49 + 5.1975  + 4.725

=24.41 square inches

To learn more on Areas click:

https://brainly.com/question/20693059

#SPJ1

The required length of the third side of the right-angle triangle is 15 units.

In a right-angled triangle, its sides, such as the hypotenuse, are perpendicular and the base is Pythagorean triplets.

Here,
For the right triangle lenght of the two legs to be 9 and 12 units, a measure of the third side is to be determined.

So, Applying the Pythagoras theorem,
h² = p² + b²
h = √9² + 12²
h = √225
h = 15

Thus, the required length of the third side of the right-angle triangle is 15 units.

Learn  more about Pythagorean triplets here:

brainly.com/question/22160915

#SPJ1

Answer:

6-2(a+8) >18

6 - 2a-16 >18

- 10- 2a > 18

- 2a > 18+10

-2a > 28

a < -14

..........

Answer: no real solution

Thus, the function has no x- intercept

Step-by-step explanation:

The values of the variables are;

x = 7

y = -9

From the information given, we have that;

5x−y=44

−3x−y=−12

Using the elimination method of solving simultaneous equations

Subtract equation (2) from equation (1), we get;

5x - y - (-3x - y) = 44 - (-12)

Now, expand the bracket

5x - y+ 3x + y = 56

collect the like terms

5x + 3x = 56

add the terms

8x = 56

Make 'x' the subject of formula

x= 7

Now, substitute the value of x in equation (2)

-3x - y = -12

-3(7) - y = -12

expand the bracket

-21 - y= - 12

collect like terms

-y = 9

y = -9

Learn about simultaneous equation at: https://brainly.com/question/16863577

#SPJ1

The equation f(x) = k * (x + 2) / [(x - 5) * (x - 1)] could represent the given rational function with an x-intercept at (-2, 0) and vertical asymptotes at x = 5 and x = 1.

To write an equation that represents the given rational function with an x-intercept at (-2, 0) and vertical asymptotes at x = 5 and x = 1, we can start by considering the factors in the numerator and denominator of the function.

Since the function has an x-intercept at (-2, 0), it means that the numerator of the function has a factor of (x + 2).

Since the function has vertical asymptotes at x = 5 and x = 1, it means that the denominator of the function has factors of (x - 5) and (x - 1).

Putting these factors together, the equation that could represent this function is:

f(x) = k * (x + 2) / [(x - 5) * (x - 1)]

Here, k represents a constant multiplier that scales the function, and it can be any non-zero constant value.

For more question on rational function click on

https://brainly.com/question/1851758

#SPJ11

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

Answer:

\( 75= 119 -1.96 \sigma\)

\( \sigma = \frac{75-119}{-1.96}= 22.45\)

And tha's equivalent to use this formula:

\( 163= 119 +1.96 \sigma\)

\( \sigma = \frac{163-119}{1.96}= 22.45\)

Step-by-step explanation:

For this case the 95%of the values are between the following two values:

(75 , 163)

And for this case we know that the variable of interest X "length of a movie" follows a normal distribution:

\( X \sim N( \mu, \sigma)\)

We can estimate the true mean with the following formula:

\(\mu = \frac{75+163}{2}= 119\)

Now we know that in the normal standard distribution we know that we have 95% of the values between 1.96 deviations from the mean. We can find the value of the deviation with this formula:

\( 75= 119 -1.96 \sigma\)

\( \sigma = \frac{75-119}{-1.96}= 22.45\)

And tha's equivalent to use this formula:

\( 163= 119 +1.96 \sigma\)

\( \sigma = \frac{163-119}{1.96}= 22.45\)

Answer:

4 to 6

Step-by-step explanation: