Triangle EFG is graphed below. If the triangle is translated 4 units to the right and 3 units down, what will be the coordinates of G’ ? A. (3,-2) B. (3,4) C. (2, -3) D. (2,2)

Answer:

x-5

Step-by-step explanation:

since we don't know bob's age, x will represent it. we know that heather is 5 years YOUNGER than bob.

x (bob's age) - 5 (because that's how many years heather is younger than bob is)

hope this helps :D

Answer:

129

Step-by-step explanation:

all u have to do is add those two numbers

Answer:

114 - 15 = 99

Step-by-step explanation:

A "number" can be used as x since we don't know what it is at first- since it'd be x + 15 = 114 you can just do 114 - 15 to get the answer to x which is 99:)

The answer is

[tex]\frac{10}{14} \frac{15}{21} \frac{25}{35} \frac{30}{42} \frac{35}{49}[/tex]

To learn more, take a look at this chart please.

Answer:

Any of these

10/14

15/21

20/28

etc.

Step-by-step explanation:

Basically, if you multiply the fraction by the same number, it will be equal.

Answer:

11. f(g(3))=5 g(f(-2))=-6

12.f(g(3))=8 g(f(-2))=3

13.f(g(3))=8 g(f(-2))=3

14.f(g(3))=0  g(f(-2))=5

Step-by-step explanation:

Answer: -3 1/2 - 1/5

Answer:

Not sure what you are asking here but the answer is $59.95

Step-by-step explanation:

$49.95 + (10 * 0.05)

Answer

9 movies

Step-by-step explanation:

$25 - 38.50 = $13.50

13.50/ $1.50 = 9

Answer:

False

Step-by-step explanation:

M= 424

prob ion know but yeah

Answer:

0.000000093

Step-by-step explanation:

Theres seven zeros after the decimal

Answer: (x+1)^2=10

Step-by-step explanation:

Answer:

yea

same

Step-by-step explanation:

Answer:

well i hope you can figure it out

Step-by-step explanation:

Answer:

The answer is 36

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

You must divide 28 by 4 which equals 7.

Answer:

x=33.9°

Step-by-step explanation:

Trigonometric Ratios

In a right triangle, i.e. the triangles that have an internal angle of 90°, the so-called trigonometric ratios are valid.

There are six trigonometric ratios that can be used in right triangles, depending on the data available for each problem.

The current question gives us two sides in a right triangle and requires us to calculate the angle x.

The angle x 'looks' at the sides of the triangle in this way: RS=70 is the adjacent leg, SQ=47 is the opposite leg, and RQ is the hypotenuse.

We should use the trigonometric ratio that relates both the adjacent and the opposite led. There are two possibilities: The tangent and the cotangent. We'll use the tangent for no particular reason.

The tangent of an angle is defined as:

[tex]\displaystyle \tan\x=\frac{\text{opposite leg}}{\text{adjacent leg}}\\[/tex]

Use the given values:

[tex]\displaystyle \tan x=\frac{47}{70}=0.6714[/tex]

Using a calculator (in degree mode), we calculate the angle:

[tex]x=\tan^{-1}(0.6714)=33.9^\circ[/tex]

x=33.9°

Answer and Step-by-step explanation:

Solution:

Given:

Let A is the event of a person over 50 diagnosed by health service.

B1 is the event that an adult over 50 actually has diabetes.

B2 is the event that an adult over 50 does not have diabetes.

P (B1) = 8% = 0.08

And P (B2) = 1 – P (B1)

                  = 1 – 0.08

                  = 0.92

Correctly diagnose of all persons with diabetes= 95%

P (A/B1) = 0.95

Incorrectly diagnose of all persons without diabetes=   2%

P (A/B2) = 0.02

(a) ) the community health service will diagnose an adult over 50 as having diabetes.

P (B1) P (A/B1) = (0.08) (0.95) = 0.076

P (B2) p (A/B2) = (0.92) (0.02) =0.0184

P (B1) P (A/B1) + P (B2) p (A/B2) =  0.076 + 0.0184

                                                     = 0.0944

(b)  A person over 50 diagnosed by the health service as having diabetes actually has the disease.

By using formula:

P (B1/A) = P (B1) P (A/B1) / P (B1) P(A/B1) + P (B2) P (A/B2)

Put all the given values:

= (0.08) (0.95) / (0.08) (0.95) + (0.92) (0.02)

=0.076 / 0.076 + 0.0184

=0.076 / 0.0944

= 0.8050

Using conditional probability, it is found that there is a:

a) 0.0944 = 9.44% probability that the community health service will diagnose an adult over 50 as having diabetes.

b) 0.8051 = 80.51% probability that a person over 50 diagnosed by the health service as having diabetes actually has the disease.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

Item a:

The percentages of a positive test is:

Hence:

[tex]P(A) = 0.95(0.08) + 0.02(0.92) = 0.0944[/tex]

0.0944 = 9.44% probability that the community health service will diagnose an adult over 50 as having diabetes.

Item b:

From item a, [tex]P(A) = 0.0944[/tex].

The probability of both a positive test and having the disease is:

[tex]P(A \cap B) = 0.95(0.08)[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.95(0.08)}{0.0944} = 0.8051[/tex]

0.8051 = 80.51% probability that a person over 50 diagnosed by the health service as having diabetes actually has the disease.

A similar problem is given at https://brainly.com/question/14398287

Answer:  0.8956

Step-by-step explanation:

Given: The daily surface concentration of carbonyl sulfide on the Indian Ocean is normally distributed, with a mean [tex]\mu=100[/tex] picomoles per liter and standard deviation of [tex]\sigma=3.5[/tex] picomoles per liter.

Let X be the daily surface concentration of carbonyl sulfide.

The probability that on a randomly selected day, the surface concentration of carbonyl sulfide on the Indian Ocean is less than 13.5 picomoles per liter [tex]= P(X<13.5)[/tex]

[tex]=P(\dfrac{X-\mu}{\sigma}>\dfrac{13.5-9.1}{3.5})\\\\=P(Z<1.257)\\\\= 0.8956\ \ \ [\text{By p-value table}][/tex]

Hence, the required probability =  0.8956

Answer:

240

Step-by-step explanation:

60 x 4

Answer:

240 miles

Step-by-step explanation:

If she's going 60 miles per hour and she drives 4 hours then you multiply those two numbers together and get that she has drove 240 miles.

Answer: 7(g + 3g) , 7g + 7(3g) , and 28g

Step-by-step explanation: I got it wrong and it showed me the answers so here you go

Answer:

f(4)=-42

Step-by-step explanation:

f(x)=-4(x+3)-14

(sub 4 for x in the equation f(x) to find f(4))

f(4)=-4×(4+3)-14

(simplify inside the bracket)

=-4×7-14

(multiply 7 and -4)

=-28-14

(simplify)

=-42

Answer:

5

Step-by-step explanation:

In order to figure out average, we need to add up all the numbers. So adding 2, 4, 5, 6, and 8 gives us 25. We now divide that total by the total number of terms we used to reach 25. So since we had 5 numbers, we divide 25 by 5 to get an average of 5.

Answer:

5.

Step-by-step explanation:

To find mean. you just add all the numbers up and divide by the number of numbers (5).

2+4+5+6+8=25

25/5=5

Answer:

i think it is A the first option

Step-by-step explanation:

= 5x - 25 = -10

= 5x = -10 + 25 ( transposing-25 from LHS to RHS changes -25 to +25 )

= 5x = 15

= x = 15 ÷ 5 ( transposing ×5 from LHS to RHS changes ×5 to ÷5 l

= x = 3

Let us check whether or not we have found out the correct value by keeping 3 in the place of x :

= 5 × 3 - 25 = -10

= 15 - 25 = -10

= -10 = -10

LHS = RHS

We have found out the correct value of x .

Therefore x = 3 .

Answer:

I believe it is four hours

Step-by-step explanation:

Answer/Step-by-step explanation:

Area of the dinning room table:

Given that scale of the sketch is 1 in = 2½ ft

Length of the dinning room table on the sketch = 2 in

Actual length of dinning room table = 2 × 2½ = 5 ft

Width of the dinning room table on the sketch = 1 in

Actual width of dinning room table = 1 × 2½ = 2.5 ft

Area of dinning room table = length × width = 5 × 2.5 = 12.5 ft²

Area of the dinning room:

Given that scale of the sketch is 1 in = 2½ ft

Length of the dinning room on the sketch = 7⅕ in

Actual length of dinning room = 7⅕ × 2½ = 18 ft

Width of the dinning room on the sketch = 4⅘ in

Actual width of dinning room = 4⅘ × 2½ = 12 ft

Area of dinning room = length × width = 18 × 12 = 216 ft²

Area of the dinning room not covered by the table = area of the dinning room - area of the dinning room table

= 216 - 12.5 = 203.5 ft²

The fraction 3/18 is equal to the decimal number [tex]\hat{0.167}[/tex]

An equation is an expression that is used to show the relationship between two or more numbers and variables.

Division is one of the four basic operations of arithmetic. Division is the act of dividing, or separating, a whole into pieces.

Given the expression:

3/18

Dividing gives:

= 0.16666666667

= [tex]\hat{0.167}[/tex]

3/18 is equal to [tex]\hat{0.167}[/tex]

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

42 it is the answer i think

Step-by-step explanation:

6 × 7 = 42

6×1 = 6

6×2 = 12

6×3 = 18

6×4 = 24

6×5 = 30

6×6 = 36

6×7 = 42

6×8 = 48

6×9 = 54

6×10 = 60

Answer:

The option is  A

Step-by-step explanation:

From the question we are told that

    The population proportion is  [tex]p =  0.29[/tex]

    The sample size is  n  = 451

    The number that was having difficulty is  k  =  183

Generally the sample proportion is mathematically represented as

     [tex]\^ {p}  =  \frac{k}{n}[/tex]

=>  [tex]\^ {p}  =  \frac{183}{451}[/tex]

=>   [tex]\^ {p}  =   0.4058[/tex]

Generally the test statistics is mathematically represented as

    [tex]t = \frac{ \^ {p} -  p }{ \sqrt{\frac{p (1-p)}{n} } }[/tex]

=>  [tex]t = \frac{0.4058 -  0.29 }{ \sqrt{\frac{0.29 (1-0.29)}{451} } }[/tex]

=>  [tex]t =  5.42 [/tex]

Answer:

x=3, y=7

x=-2, y=2

Step-by-step explanation:

System of Equations

We have the following equations:

[tex]y=-x^2+2x+10[/tex]

[tex]y=x+4[/tex]

We'll solve it by substitution. Since the second equation is already solved for y, we use that expression and substitute into the first equation:

[tex]x+4=-x^2+2x+10[/tex]

Since this is a quadratic equation, it's convenient to have all terms to one side:

[tex]x+4+x^2-2x-10=0[/tex]

Simplifying and reordering:

[tex]x^2-x-6=0[/tex]

Factoring:

[tex](x-3)(x+2)=0[/tex]

Solving:

x=3, x=-2

Those yield to two solutions for y:

y=x+4

y=7, y=2

The solutions of the system are:

x=3, y=7

x=-2, y=2