Question on image. (5)

will report answers out of question. Thank you

Answer:

-1.1

Step-by-step explanation:

The z-score formula is expressed as;

z = x - m/s

x is the sample size = 495

m is the mean score = 550

s is the standard deviation = 50

Substitute inti the formula;

z = 495 - 550/50

z = = -55/50

z = -11/10

z = -1.1

Hence the z score is -1.1

Answer:

The trestle meets ground level at 0.875 units and 9.125 units

Step-by-step explanation:

Poorly formatted question.

The given equation is:

[tex]y = -x^2 + 10x - 8[/tex]

Required

The point where the trestle gets to the ground level

To do this, we set [tex]y = 0[/tex]

So, we have:

[tex]-x^2 + 10x - 8 = 0[/tex]

Multiply through by -1

[tex]x^2 -10x + 8 = 0[/tex]

Solve using quadratic formula:

[tex]x= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

Where:

[tex]a = 1; b =-10; c = 8[/tex]

So, we have:

[tex]x= \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*8}}{2*1}[/tex]

[tex]x= \frac{-(-10) \± \sqrt{68}}{2*1}[/tex]

[tex]x= \frac{-(-10) \± 8.25}{2}[/tex]

[tex]x= \frac{10 \± 8.25}{2}[/tex]

Solve the fraction

[tex]x= 5 \± 4.125[/tex]

Split

[tex]x= 5 + 4.125\ or\ x= 5 - 4.125[/tex]

[tex]x= 9.125\ or\ x= 0.875[/tex]

Step-by-step explanation:

1. 5+2+3=5+(2+3) 2. 9a is equivalent to 11a-2a 3. 7a + 04 - 2a is equivalent to 7a + -2a + 4 4. 8a-(8a-8) is equivalent or = to 8.

Answer: [tex]1\dfrac{3}{8}\ \text{inch}[/tex]

Step-by-step explanation:

Given

Rainfall in September is [tex]\frac{7}{8}[/tex] inch

Rainfall in October is [tex]2\frac{1}{4}[/tex] inch

Convert mixed fraction into fraction

[tex]\Rightarrow 2\dfrac{1}{4}=\dfrac{9}{4}\ \text{inch}[/tex]

Difference between the two gives that how much more rain fall in October compared to September

[tex]\Rightarrow \dfrac{9}{4}-\dfrac{7}{8}\\\\\Rightarrow \dfrac{18-7}{8}\\\\\Rightarrow \dfrac{11}{8}\ \text{inch or}\\\\\Rightarrow 1\dfrac{3}{8}\ \text{inch}[/tex]

Step-by-step explanation:

The sum of two rational numbers will always be a rational number.

x = time goal

16% = .16

.16 x = 32

x = 32/.16 = ___________ minutes

Jesse' weekly reading time is an illustration of ratio and proportion.

Jesse' weekly reading time is 200 minutes

Represent the reading time with x.

16% of his weekly reading time is given as 32 minutes

This is represented using the following equation

[tex]16 \% \times x = 32[/tex]

Express 16% as decimal

[tex]0.16\times x = 32[/tex]

Divide both sides by 0.16

[tex]x = 32/0.16[/tex]

[tex]x = 200[/tex]

Hence, Jesse' weekly reading time is 200 minutes

Read more about proportions at:

https://brainly.com/question/1781657

Step-by-step explanation:

You can apply the power of point to this problem. Essentially, it states that:

[tex]5\cdot12=2\cdot(2+x)\\30=2+x\\x=28[/tex]

Answer:

8

Step-by-step explanation:

a = 4

b = 3

4 / a

= 4 / 4

= 1

b / 3

= 3 / 3

= 1

6 + 4 / a + b / 3

= 6 + 1 + 1

= 8

Answer:

[tex]6[/tex]

Step-by-step explanation:

Given:-

[tex]6+\frac{4}{a} +\frac{b}{3}[/tex]

[tex]a=4\\b=3[/tex]

Solution:-

[tex]=6+\frac{4}{4} +\frac{3}{3}[/tex]

[tex]=6+2[/tex]

[tex]=8[/tex]

Answer:

x < 16

Step-by-step explanation:

The number of people that can be in a tour group at the zoo must be fewer than 16 people.

Let the number of people in the Justin's tour group is x.

According to the question, the inequality is given by

x < 16.

This is the desired inequality.

Step-by-step explanation:

.......................

Answer:

Step-by-step explanation:

(3-[tex]\sqrt{2[/tex])(3+[tex]\sqrt{2[/tex])

=(3)^2-([tex]\sqrt{2[/tex] )^2

=9-2

=7

Answer:

21

Step-by-step explanation:

We can set Andrea's current age as x.

In 11 years, her age will be half the square of her age 13 years ago. We get the equation:

[tex]x+11=\frac{(x-13)^2}{2} \\2(x+11)=(x-13)^2\\2x+22=x^2-26x+169\\x^2-28x+147=0\\(x-21)(x-7)=0\\x=21, x=7[/tex]

Ok, now we know that Andreas age could be either 21 or 7. However, the problem states that "in 11 more years my age will be hald the square of my age 13 years ago." It would not make sense for Andrea to be currently 7 if she was not yet born 13 years ago.

Therefore, Andrea's age is 21.

I hope this helps! Let me know if you have any questions :)

The sum of the interior angles in a triangle is 180 degrees. Therefore, if we add all of these angles up, they will be equal to 180.

97 + 46 + x = 180

143 + x = 180

x = 37 degrees

Hope this helps!! :)

Answer:

43°

Step-by-step explanation:

91+46=137

180-137=43

Answer:

96.29  mm^3

Step-by-step explanation:

Cylinder

V = pi r^2 h

V = 3.14 ( 2)^2 ( 5)

V = 3.14 *4*5

V =62.8 mm^3

Cone

V = 1/3 pi r^2 h

V = 1/3 (3.14) 2^2 ( 4)

V =1/3 (3.14) 4*4

V =16.746666666 mm^3

There are 2 cones so multiply by 2

Both cones = 33.493333333333 mm ^3

Add the cones and the cylinder together

62.8+33.493333333 =96.293333333

Rounding to the nearest hundredth

96.29  mm^3

Answer:

I did the other guy's answer, and... it was incorrect

the real answer is shown below

Answer:

it's easy the value of y will be 70.

Both are corresponding angles and their sum will be 180

[tex]\\ \sf\longmapsto y+70=180[/tex]

[tex]\\ \sf\longmapsto y=180-70[/tex]

[tex]\\ \sf\longmapsto y=110°[/tex]

The whole set its self costs $159.

25% is being subtracted from $159.

To find the sales price just use your phone calculator or any calculator to subtract 25% from 159.

The sales price is $119.25.

Answer:

C. 11/2÷9/4

Step-by-step explanation:

This question can be solved using a rule of three.

In 2 + \frac{1}{4} = \frac{2*4 + 1}{4} = \frac{9}{4}2+

4

1

=

4

2∗4+1

=

4

9

hours, the tank loses 5 + \frac{1}[2} = \frac{5*2 + 1}{2} = \frac{11}{2} gallons. How much does it lose in an hour?

1 hour - x gallons

9/4 hours - 11/2 gallons

So

\frac{9x}{4} = \frac{11}{2}

4

9x

=

2

11

x = \frac{\frac{11}{2}}{\frac{9}{4}}x=

4

9

2

11

So the correct answer is C.

Answer:

3 pens.

Step-by-step explanation:

x+y=7 where x is # of pens and y =# of pencils

3x + 2y= $18

from first equation, x=-y+7 so substitute that into other equation

3(-y+7)+2y=18

-3y+21+2y=18

-y=18-21

-y=-3

y=3

now replace y =3 into first equation

x+3=7

x=4

Answer:

Part A- B Part B- 50

Step-by-step explanation:

4x=200 if x represented 50 than 4X50 = 200 !

Answer:

(B)

(A)

Step-by-step explanation:

Part 1)

If each scarf is 4 bucks, for every scarf you add $4. Another way of writing that is 4x. If the total money made is 200 bucks, you would write 4x=20.

Part 2)

Syrilla needs to sell (A) 50 scarves in order to earn $200

x=50

4(50)=200

that is true, so it is correct

i think its 12

Step-by-step explanation:

Answer:

50 is the surface area

Step-by-step explanation:

Answer:

If we are solving for x i think its

y= - 5x/2+4

y= -7x/2 +6

I am not sure if its right but hope it helps

Answer:

c. 10.8 cm

Step-by-step explanation:

s=√10²+4²=√116=10.8

the noun press itself is already a noun. though the word can also be expressed as a verb, (for example: he pressed his face against the glass) it can also be a noun (for example: the incident was not reported to the press).

hope this helps. :)

have a great day! stay safe, happy, and healthy!

Answer:

1 cup

Step-by-step explanation:

for each cup of cheese you need one cup of milk so for every cup of milk you need one cup of cheese :))

Answer:

Hello! answer: 30

Step-by-step explanation:

13 × 13 = 169

5 × 5 = 25

169 - 25 = 144

12 × 12 = 144 therefore 12 is the missing leg

so we will use this to find the area so...

12 × 5 = 60 60 ÷ 2 = 30 therefore the answer is 30 hope that helps!

3x(7+10)=G+30

21x+30=G+30

-30 -30

---------------------

21x=G

Answer: G=21x

5x(3+H)=15+45

15x+5h=15+45

-5 -5

---------------------

15x+h=15+40

-15 -15

--------------------

x(h)=40

Answer: I think the answer is B

Hope this helps :)

The solutions to the quadratic equation [tex]\rm x^2 + 2x = 25[/tex] is [tex]-1\pm \sqrt{26 }[/tex].

Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations.

The given equation is;

[tex]\rm x^2 + 2x = 25\\\\x^2+2x-25=0[/tex]

The solutions to the quadratic equation is determined by the following formula;

[tex]\rm x =\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Where the value of a = 1, b = 2, and c = -25.

Substitute all the values in the formula;

[tex]\rm x =\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\\\\\rm x =\dfrac{-2\pm \sqrt{2^2-4\times 1\times (-25)} }{2\times 1}\\\\ x =\dfrac{-2\pm \sqrt{4+100} }{2}\\\\x =\dfrac{-2\pm \sqrt{104} }{2}\\\\x =\dfrac{-2\pm \sqrt{26 \times 2\times 2} }{2}\\\\x =\dfrac{-2\pm 2\sqrt{26 }}{2}\\\\x = 2 \times \dfrac{-1\pm \sqrt{26 }}{2}\\\\x=-1\pm \sqrt{26 }[/tex]

Hence, the solutions to the quadratic equation [tex]\rm x^2 + 2x = 25[/tex] is [tex]-1\pm \sqrt{26 }[/tex].

Learn more about quadratic equation here;

https://brainly.com/question/14336752

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