A worker has asked her supervisor for a letter of recommendation for a new job. She estimates that there is an 80 percent chance that she will get the job if she receives a strong recommendation, a 40 percent chance if she receives a moderately good recommendation, and a 10 percent chance if she receives a weak recommendation. She further estimates that the probabilities that the recommendation will be strong, moderate, and weak are 0.7, 0.2, and 0.1, respectively. a. How certain is sh

-1 (4 + x) = 6

=> 4 + x = 6/-1

=> 4 + x = -6

=> x = -6 -4

=> x = -10

Answer:

14

Step-by-step explanation:

7h-5(3h-8)=-72

or, 7h-15h+40=-72

or, 40+72=15h-7h

or, 112=8h

or, h=112/8

therefore,h=14

Answer:

Step-by-step explanation:

Answer:

x= 5/2= 2.500

x= -1 - Divisor: -3/2 = -1-(i)Divisor:3/2= 0.5000-0.8660(i)

x= -1+Divisor: -3/2= -1+(i)Divisor:3/2=-0.5000+0.8660(i)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (((2 • (x3)) -  3x2) -  3x) -  5  = 0  

STEP  

2

:

Equation at the end of step

2

:

 ((2x3 -  3x2) -  3x) -  5  = 0  

STEP

3

:

Checking for a perfect cube

3.1    2x3-3x2-3x-5  is not a perfect cube

Trying to factor by pulling out : 3.2      Factoring:  2x3-3x2-3x-5  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -3x-5  

Group 2:  -3x2+2x3  

Pull out from each group separately :

Group 1:   (3x+5) • (-1)

Group 2:   (2x-3) • (x2)

Bad news !! Factoring by pulling out fails :

Answer:

2x² + 5x – 18 Remainder 59

Step-by-step explanation:

2x³ – x² – 3x + 5 ÷ x + 3

                   2x² + 5x – 18

x + 3 √ 2x³ – x² – 3x + 5

        – 2x³ – 6x²

            0  +  5x² – 3x + 5

                  – 5x² + 15x

                    0 – 18x + 5

                    – –18x –54

                             0 + 59

2x³ – x² – 3x + 5 ÷ x + 3 = 2x² + 5x – 18 Remainder 59

Answer:

x = -1

Step-by-step explanation:

If you input -1 to both functions, you get 3.

Answer:

isnt it 41

Step-by-step explanation:

Answer:

x = 90°

Step-by-step explanation:

Since AC || BD

x + 90° = 180°

x = 180 - 90

x = 90°

Answer:

29.4 is the correct answer, it's rounded up so that you don't have to accidentally get it wrong like I did, lol

Step-by-step explanation:

Answer:

960$

Step-by-step explanation:

First you want to find out how much money she makes per hour by doing 840/35. That equals 24, so now you multiply it by the amount of hours for this week. 24*40= 960$.

Hope this helps :D

Answer:

the length is 8cm???

Step-by-step explanation:

its kind of obvi (i Think)

Answer:

x - y = 0

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - 1 / 5 - 1

4/4

= 1

y = 1x + b

5 = 1(5) + b

5 = 5 + b

0 = b

Answer:

Step-by-step explanation:

From the given trapezium, the following can be observed:

           i. trapezium ABCD

           ii. AB || DC

           iii. EF || AB

           iv. EF || DC

Let AD ≅ BC, then:

AD = AE + ED

BC = BF + FC

So that with the condition that;

AE ≅ BF

and

ED ≅ CF

So then;

AE:ED ≅ BF:FC

Which implies that;

[tex]\frac{AE}{ED}[/tex] = [tex]\frac{BF}{FC}[/tex]

Answer:

In the 18th year

Step-by-step explanation:

Answer:

c = 5.5

Step-by-step explanation:

2 a + 5 c = 46.50

a + c = 15

a = 15 - c

2(15-c ) +5c = 46.50

30 - 2c +5c = 46.5

3c = 16.5

c = 5.5

Answer:

[tex]r^2 = 0.826^ 2 =.6822[/tex]

[tex]r^2 =[/tex] a measure of how strong the ("how fit") the relationship is

it is always positive between 0 and 1

Step-by-step explanation:

coefficient of determination = r^2

r^2 = 0.826^ 2 =.6822

Answer:

107,100

Step-by-step explanation:

[tex]h(t) = 9 {t}^{2} + 900t \\ \\ plug \: t = 70 \\ \\ h(70) = 9 {(70)}^{2} + 900(70) \\ = 9 \times 4900 + 63000 \\ = 44100 + 63000 \\ = 107,100 \: cm[/tex]

Answer:

*Refer the image attached

Step-by-step explanation:

*Refer the image attached

Answer:

b.

b.

Step-by-step explanation:

scientific notation should have one positive in front of the decimal point, then any number (>=1) of positions after the decimal point, followed by the multiplication with the property power of 10.

the only number not following that rule is b (2 positions in front of the decimal point).

4x - 2y = 6

2x - y = 3

are the same line, as we can multiply the second equation by 2 and get exactly equation 1.

so, both lines have the same slope and the same y-intercept. therefore, they have infinitely many solutions.

Answer:

Step-by-step explanation:

1). 6x - 12y = -18

   6x + 4y = -2

Multiplication property of equality.

2). -16y = -16

Substitution property of equality.

3). y = 1

Division property of equality.

4). 2x - 4(1) = -6

Substitution property of equality.

5). 2x - 4 = -6

Simplify.

6). 2x = -2

Addition property of equality

7). x = -1

Division property of equality

Answer:

there are 2 apples in the basket

there are 10 banana in the basket

Step-by-step explanation:

According to the Question,

let x for apple And y for banana So, x+y=12---Equation 1

Thus, 5x+7y=80 ----Equation 2

Now, (Equation 1) × 5 Subtract with (Equation 2) We get,

2y = 20 ⇒ y=10 (there are 10 banana in basket)

5x+70=80 ⇔ x=2(there are 2 apples in basket)

Answer:

Angle 1 is 58. Angle 2 is 32.

Step-by-step explanation:

The measure of Angle ACB is 90 because C is on the circle and A and B connect to form a diameter of the circle. So, Angle 1 and Angle 2 add up to 90 (total degrees in triangle - 90). Now you can add the expressions the question gave for Angle 1 and Angle 2, and you get 7x + 6. So you have the equation 7x + 6 = 90. Solve the equation and you get x = 12. Now you can plug in that value for x into the expressions for Angles 1 and 2 to find their measures.

Answer:

She has 9 choices for each different cheese.

For each of these cheeses there are 9 different wines,

So 9 * 9 = 81 and there are

81 possible different choices

Answer:

2.5 dB/100 ft

Explanation:

If 5 dB was lost after 200 ft of cable and 100 ft is half of 200 ft, then the rate of loss should be 2.5 dB per 100 ft.

Step-by-step explanation:

The total loss is 9 dB

Since we have 250 ft of cable that has a loss rate of 3.6 dB per 100 ft, we need to find the total loss of the 250 ft of cable.

To find this total loss, we multiply the loss rate by the total length of cable.

So, the total loss for the 250 ft of cable, L = loss rate × length of cable.

Since loss rate = 3.6 dB per 100 ft and the length of cable = 250 ft, substituting the values of the variables into the equation, we have

L = loss rate × length of cable.

L =  3.6 dB/100 ft × 250 ft.

L = 3.6 dB/10  × 25.

L = 3.6 × 25/10 dB

L = 3.6 × 2.5 dB

L = 9 dB

So, the total loss is 9 dB

Learn more about dB loss here:

https://brainly.com/question/21793414

Answer:

Click C.

√65,17/2,8.9,3^2,√100

Have a blessed day B)

Answer:

C √65,17/2,8.9,3^2,√100

Step-by-step explanation:

from least to greatest

√65=8.06

17/2=8.5

8.9

3^2=9

√100=10

Answer:

2/3 ÷ 8/9

[tex] \frac{2}{3} \div \frac{8}{9} [/tex]

[tex] \frac{2}{3} \times \frac{9}{8} [/tex]

[tex] \frac{1}{1} \times \frac{3}{4} [/tex]

[tex] \frac{3}{4} [/tex]

hope this will help you more

Answer:

[tex]x=8,\\y\approx 6.9[/tex]

Step-by-step explanation:

The side lengths of all 30-60-90 triangles are in ratio [tex]x:x\sqrt{3}:2x}[/tex], where [tex]2x[/tex] is the hypotenuse of the triangle and [tex]x[/tex] is the side opposite to the 30 degree angle.

In the given diagram, the side labelled 4 is opposite to the 30 degree angle. Since [tex]x[/tex] is labelled as the hypotenuse of the triangle, [tex]x[/tex] must be [tex]4\cdot 2=\boxed{8}[/tex].

Variable [tex]y[/tex] must then represent [tex]x\sqrt{3}[/tex] for [tex]x=4[/tex], yielding [tex]y=4\sqrt{3}\approx \boxed{6.9}[/tex]

Answer:

x=0.5

Step-by-step explanation:

10x-40-5x=2x+30

5x+10=25x

10=20x

x=0.5

Answer:

4x-2

Step-by-step explanation:

X=muffins

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]x = \pm 5[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\x^2-25 = 0\\-------------\\\rightarrow x^2 -25 + 25 = 0 + 25\\\\\rightarrow x^2 = 25\\\\\rightarrow \sqrt{x^2}=\sqrt{25}\\\\\rightarrow \boxed{x = \pm 5}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

[tex]x = 5 \: \: \: or \: \: \: x = - 5[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 25 = 0 \\ {x}^{2} - {5}^{2} \\ ( x - 5)(x + 5) = 0 \\ \\ x - 5 = 0 \\ x = 5 \\ or \\ x + 5 = 0 \\ x = - 5[/tex]

Answer:

Juan will need the number of fruit baskets to sell the last three weeks to achieve his goal=18

Step-by-step explanation:

sszhskf7kj Is correct

He's the one that commented on the other answer

C) 3, 6, 9, 12