In a​ company, 85​% of the workers are . If 435 people work for the company who​ aren't ​, how many workers are there in​ all? Use pencil and paper. Show two different ways that you can solve this problem.

Answer:

67

Step-by-step explanation:

Your brother is three years younger than you, so when you're 70, he'll be three years younger, 67.

~theLocoCoco

Answer:

35 years old

Step-by-step explanation:

Since your brother is half your age, that means it should be exact. 70 is not a number than would have an even split, so you would have to have either an odd number such as 5. 40 plus 40 is 80, which is to high. 30 plus 30 is 60, too low. 35 plus 35 is 70 exact. Hope this helped! Also, I dont know if this was trick question, either way, he should be half. So if you were 10, he would be 5. If you were 18, he would be 9.

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Answer:

\(\text{27}\)

Step-by-step explanation:

Given that :

\(\text{Dimension of poster board} = 1 \ \text{yd} \ \text{by} \ 1 \ \text{yd}\)

\(\text{Dimension of each poster board} = \dfrac{1}{3} \ \text{yd} \ \text{by} \ \dfrac{1}{9} \ \text{yd}\)

Number of poster signs that can be cut :

\(\text{Area of poster sign} = \dfrac{1}{3} \times \dfrac{1}{9} = \dfrac{1}{27} \ \text{yard}^2\)

\(\text{Area of poster board} = 1 \ \text{yard}^2\)

Number of poster signs that can be cut :

\(\dfrac{\text{Area of poster board}}{\text{Area of poster sign}}\)

\(1 \ \text{yard}^2\div (\dfrac{1}{27} ) \ \text{yard}^2\)

\(1 \div \dfrac{1}{27}\)

\(1 \times \dfrac{27}{1}\)

\(\bold{= 27 \ poster \ signs}\)

Answer:

7.7

Step-by-step explanation:

Find the third angle that is not given:

180 - (120 + 37) = 23.

Draw a line that cuts the 120 degree angle and makes two 90 degree angles with the opposite side. We will call this line h.

You can find the length of h by using sine of 37 degrees. We get:

sin(37 deg) = h/5

h = 3.01

Because we have already found the third angle, 23 degrees, we can use sine of 23 degrees to find the missing side length (x):

sin(23 deg) = 3.01/x

x = 7.7

Answer is 7.7

Answer:

68% of the data points lie between 10 and 18.

Step-by-step explanation:

one standard deviation to left of mean = 14 - 4 =10

one standard deviation to right of mean = 14 + 4 = 18

68% of data is in this region.

so the answer is 68% of the data points lie between 10 and 18.

Answer:

a. The present value of these receivables is $42,123.64

b. The total value at the end of 10 years is $69,257.02

c. The present value of these payments is $10,059.37

Step-by-step explanation:

Answer:

The value of x is 1

Step-by-step explanation:

1/2 x - 3/4 = 3/8 - 5/8 x

1/2 x + 5/8x = 3/8 + 3/4

9/8 x = 9/8

x = 1

Answer:

×=64

I HOPE IT CAN HELP:(

Answer:

When a figure is rotated counterclockwise about the origin, its original coordinates of point P (x,y) will now be positioned as P' (-y,x).

X (1,-1) --> X' (1,1)

Y (3,4) --> Y' (-4,3)

Z (5,-1) --> Z' (1,5)

The correct set of image points for triangle X'Y'Z' is X'(1,1), Y'(-4,3), and Z'(1,5).

Step-by-step explanation:

Triangle XYZ is rotated 90° counterclockwise, the new coordinate is X'(1, 1), Y'(-4, 4) and Z'(1, -5)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.

If a point A(x, y) is rotated 90° counterclockwise the new point is A'(-y, x).

Triangle XYZ is rotated 90° counterclockwise, the new coordinate is X'(1, 1), Y'(-4, 4) and Z'(1, -5)

Find out more on Transformation at: https://brainly.com/question/26092237

The required leaves values for the given stems are calculated below.

A plot where every information esteem is parted into a "leaf" (typically the last digit) and a "stem" (different digits). For instance "32" is parted into "3" (stem) and "2" (leaf). The "stem" values are recorded down, and the "leaf" values are recorded close to them.

For example , 42, 34, 48, and so on.

Here 42 and 48 qualities will be written in stem 4 as their most memorable digit is 4, while 2 and 8 will be placed in the leaf side.

Likewise, 3 will be the stem, and 4 will be the leaf for esteem 34.

4| 2, 8

3| 4

65​, 40​, 47​, 47​, 33​, 55​, 44​, 49​, 46​, 22​, 58​, 65​, 56​, 41​, 63​, 65​, 54​, 42​, 58​, 29​, 39​, 66 ​, 49​, 42​, 34​, 36​, 42​, 35​, 21​, 44​, 61​, 35​, 33​, 42​, 27​, 30​, 46​, 33​, 35​, 58.

As given in the question that the stem and Leaves are to be separated by a hyphen.

Stem-and-Leaf plot 6 -  5, 5, 3, 5, 6, 1

5 -  5, 8, 6, 4, 8, 8

4 -  0, 7, 7, 4, 9, 6, 1, 2, 9, 2, 2, 4, 2, 6

3 -  3, 9, 4, 6, 5, 5, 3, 0, 3, 5

2 -  2, 9, 1, 7

As we can see above there are 5 stems, where stem 6 has 6 leaves, stem 5 has 6 leaves, stem 4 has 14 leaves, stem 3 has 10 leaves, and stem 2 has 4 leaves.

To know more about Stem-and-Leaf plot visit:

brainly.com/question/12857419

#SPJ1

Step-by-step explanation:

Interchange just means to switch really. The first 3 will stay the same be cause they are the same numbers.

The last one will be (2,8) because that's (8,2) but with the numbers switched

Answer:

x is equal to 2.5 and -4.5

Step-by-step explanation:

-4(x + 1)² - 3 = -51

-4(x² + 2x + 1) - 3 = -51

-4x² - 8x -3 - 3 = -51

-4x² - 8x - 6 = -51

-4x² - 8x = -45

-4(x^2 + 2x) = -45

-4(x^2 + 2x + 1) = -49

-4(x + 1)² = -49

(x + 1)² = 49/4

x + 1 = ± √(49/4)

x + 1 = ± 7/2

x = -1 ± 3.5

x = 2.5, -4.5

There is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

To determine whether there is enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes, we can conduct a one-sample t-test with the following hypotheses:

Null hypothesis: The true mean time in changing a muffler is equal to 13 minutes.

Alternative hypothesis: The true mean time in changing a muffler is less than 13 minutes.

Use the formula to calculate the test statistic,

\(t = \dfrac{(x - \mu)} { \dfrac{s} { \sqrt{n}}}\)

where x is the sample mean, μ is the hypothesized population mean (13 minutes), s is the sample standard deviation, and n is the sample size (6).

Plugging in the numbers, we get:

t = (12.3 - 13) / (2.3 / √6) = -0.72

Using a t-distribution table with 5 degrees of freedom (n - 1), we find that the critical value for a one-tailed test with α = 0.05 is -2.571. Since our calculated t-value (-0.72) is greater than the critical value, we fail to reject the null hypothesis.

Therefore, there is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

To know more about the hypothesis follow

https://brainly.com/question/23730829

#SPJ1

The alternative hypothesis is a two-tailed hypothesis because it examines whether there is a difference in effectiveness, which can be positive or negative.

A null hypothesis is a type of statistical hypothesis that asserts that a specific set of observations has no statistical significance. Sample data is used to assess the viability of theories. H0 represents what is referred to as "zero" on occasion. The researchers make the assumption that there may be a relationship between the factors. The null hypothesis, on the other hand, claims that no such relationship exists. Although it may not appear to be significant, the null hypothesis is an important part of research.

The following hypotheses would be appropriate for testing the difference in effectiveness between brand-name and generic ibuprofen:

The null hypothesis (H0) states that there is no difference in the mean effectiveness of brand-name and generic ibuprofen.

Alternative hypothesis (Ha): The mean effectiveness of brand-name ibuprofen and generic ibuprofen differs.

These hypotheses can be expressed symbolically as follows:

H0: _generic = _brand-name\\

Ha: _trademark _generic

Where _brand-name denotes the population mean efficacy of brand-name ibuprofen and _generic denotes the population mean efficacy of generic ibuprofen. The alternative hypothesis is a two-tailed hypothesis because it examines whether there is a difference in effectiveness, which can be positive or negative.

To know more about null hypothesis visit

https://brainly.com/question/28920252

#SPJ1

Answer:
H0: μ1 – μ2 = 0

Ha: μ1 – μ2 ≠ 0

Step-by-step explanation:

took the quiz :)

Answer:

41

Step-by-step explanation:

53/106 = x/82 similar triangles

x=41

Answer:

b = 1/6

Step-by-step explanation:

Step 1:

13 = 78b   Equation

Step 2:

13 ÷ 78  Divide

Answer:

b = 1/6

Hope This Helps :)

Answer:

the answer is 0.34 (look down to see a trick to find a fast answer0

Step-by-step explanation:

Remember, when people say 34%, it means 34% of 1. So, 34% is equivalent to .34. We multiply 50 by .34 to get 34% of 50. So, 34% of 50 is 17

Percentages are communative. 34% of 50 is the same as 50% of 34.

Answer:

WHAT PERCENT?

HOPE THIS HELPS YOU ANSWER :)

#CarryOnLearning!

The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

For more questions on arc length

https://brainly.com/question/31341388

#SPJ8

Answer:

12

Step-by-step explanation:

8 x 3ft = 24

4 x 3 = 12

24 + 12 = 36ft

so its B my g

Answer:

C.36ft2

Step-by-step explanation:

3+3=6

6x8=48

48/2=24

6x4=24

24/2=12

12+24=

36ft2

I = PxRxT

I = Interest money created

P = Principal

R = Rate per year in decimal

T = time in years

Blackmon obtained 380 of investing P dollars at 5% and (8000 - P) dollars at 4%, this means:

380 = (8000 - P) (0.04)(1) + (P)(0.05)(1) = (8000 - P)(0.04) + P (0.05)

380 = 320 - 0.04P + 0.05P = 320 + 0.01P

380 - 320 = 0.01P

60 = 0.01P

P = 60/0.01

P = 6000

So he invested 6000 dollars at 5%

and (8000 - 6000) = 2000 dollars at 4%

Answer:

$6,000 at 5%

$2,000 at 4%

The Function  f(g(x)) = g(f(x)) = x + 8.

The functions are: f(x) = x + 4 and g(x) = x + 4. We can find f(g(x)) by substituting g(x) in place of x in f(x).

f(g(x)) = f(x + 4) = (x + 4) + 4 = x + 8

Similarly, we can find g(f(x)) by substituting f(x) in place of x in g(x).g(f(x)) = g(x + 4) = (x + 4) + 4 = x + 8

Thus, we can see that f(g(x)) and g(f(x)) are equal to each other,

which is x + 8.

To learn more about : Function

https://brainly.com/question/11624077

#SPJ8

Answer:

What is wrong is that the combinations were not used. It has to be used because of the different ordering that the customers may be chosen. The correct answer is 0.333

Step-by-step explanation:

For each custoer, there are only two possible outcomes. Either they are confortable with drones delivering their purchases, or they are not. Customers are independent. So the binomial distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

38​% of consumers are comfortable having drones deliver their purchases.

This means that \(p = 0.38\)

Four consumers are randomly​ selected

This means that \(n = 4\)

Probability that exactly two of them are comfortable with the drones

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 2) = C_{4,2}.(0.38)^{2}.(0.62)^{2} = 6*(0.38)*(0.38)*(0.62)*(0.62) = 0.3330\)

What is wrong is that the combinations were not used. It has to be used because of the different ordering that the customers may be chosen.

Answer:

x=-4

Step-by-step explanation:

\(2x^2+8x=x^2-16\)

Move everything to one side:

\(x^2+8x+16=0\)

Factor:

\((x+4)^2=0\)

By the zero product rule, x=-4. Hope this helps!

Answer:

x=-4

Step-by-step explanation:

Move everything to one side and combine like-terms

x²+8x+16

Factor

(x+4)²

x=-4

Answer:

8200 * 100 = 820,00

820,000 ÷ 10 = 82,000

820 * 10 = 8200

82,000 ÷ 1,000 = 82

Step-by-step explanation:

Love your username btw

Arithmetic operations contain operations such as Addition, Subtraction, Multiplication, and Division.

Arithmetic operations exist as a branch of mathematics, that concerns the analysis of numbers and operation of numbers that exist valid in all the other constituents of mathematics. It essentially contains arithmetic operations such as Addition, Subtraction, Multiplication, and Division.

8200 \(*\)100 = 8,20,000

820000 ÷ 10 = 82,000

820 \(*\) 10 = 8,200

82000 ÷ 1000 = 82

To learn more about arithmetic operations

https://brainly.com/question/26176335

#SPJ2

Answer: 126 samples

Step-by-step explanation:

Given that :

Standard deviation (σ) = 0.7

Mean (m) = 7.3

Error (E) = 0.08

α = 80%

The sample size n can be obtained using the relation :

n = [(Zcrit * standard deviation) / Error]^2

The Zcritical at 80% = 1.282

Hence,

n = ((1.282 * 0.7) / 0.08)^2

n = (0.8974 / 0.08)^2

n = 11.2175^2

n = 125.83230625

n = 126

Answer: 44 degrees

Step-by-step explanation: 59+77+x=180

x=44