If PQ=12, QR=20, PS=12, and SR=20, then QS=

Answer:

The first piece is 19 inches, the second is 52, and the third piece is 57.

Step-by-step explanation:

Solve for x using (x) + (x + 33) + (3x) = 128.

Answer:

srry but search 12 z6xs

Step-by-step explanation:

(a) The total interest that Ravi will have to pay is $120.  (b) The total repayment amount will be $920.

a) The interest rate is 5% per year, so Ravi will pay 5% * 800 = $40 per year in interest.

Since he borrowed the money for 3 years, he will pay a total of 3 * 40 = $120 in interest.

b) The total repayment amount will be the principal amount of $800 plus the interest of $120, for a total of 800 + 120 = $920.

Simple interest formula: I = P * r * t

Where:

I is the interest

P is the principal amount

r is the interest rate

t is the time in years

Interest per year: 5% * 800 = $40

Total interest: 3 * 40 = $120

Total repayment amount: 800 + 120 = $920

To learn more about interest here:

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Answer:

x = 21.287

Step-by-step explanation:

Use:

SOH CAH TOA

Cos(37) = 17.3/x

x = 21.287

Answer:

x = 21.287

Step-by-step explanation:

Use:

SOH CAH TOA

Cos(37) = 17.3/x

x = 21.287

Answer:

(6,-6)

Step-by-step explanation:

1. -10x-15y=30

-10x-15y+15y=30+15y

-10x/-10=30+15y/-10

x=-3 -3/2

plug in the other equation and solve for y

-9x-5y=-24

-9(-3-3/2)-5y=-24

y=-6

plug -6 in for y in one of the original equations

-9x-5y=-24

-9x-5(-6)=-24

solve for x

x=6

wonderful

Answer:

Step-by-step explanation:

Null hypothesis:

[tex]H_o : \mu = 0.50[/tex]

Alternative hypothesis:

[tex]H_a : \mu > 0.50[/tex]

The sample proportion [tex]\hat p = \dfrac{x}{n}[/tex]

[tex]\hat p = \dfrac{46}{58}[/tex]

[tex]\hat p = 0.7931[/tex]

The test statistics:

[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n} } }[/tex]

[tex]Z = \dfrac{0.7931 - 0.50}{\sqrt{\dfrac{0.5(1-0.5)}{58} } }[/tex]

[tex]Z = \dfrac{0.2931}{\sqrt{\dfrac{0.25}{58} } }[/tex]

[tex]Z = \dfrac{0.2931}{0.06565321643}[/tex]

Z = 4.46      (to two decimal places)

At 99% C.I

Level of significance is:

∝ = 1 - C.I

∝ = 1 - 0.99

∝ = 0.01

Thus, the lower confidence bound can be computed as:

[tex]= \hat p - Z_{\alpha} \sqrt{\dfrac{\hat p ( 1- \hat p )}{n} }[/tex]

Critical value of [tex]Z_{0.01/2} = 2.33[/tex]

[tex]= 0.7931 - 2.33 \sqrt{\dfrac{0.7931 (1-0.7931)}{58}}[/tex]

[tex]= 0.7931 - 2.33 (0.05319)[/tex]

= 0.7931 - 0.1239327

= 0.6691673

[tex]\simeq[/tex] 0.7    (to one decimal place)

(c)

Given:

[tex]P_o = 0.50[/tex]  and [tex]\hat p = 0.80[/tex]

Then:

[tex]\beta (0.8) = \phi \Big [ \dfrac{p_o-\hat p + Z_{\alpha} \sqrt{\dfrac{p_o(1-p_o)}{n}}}{\sqrt{\dfrac{\hat p(1-\hat p)}{n} } } \Big][/tex]

[tex]\beta (0.8) = \phi \Big [ \dfrac{0.5-0.8 + 2.33 \sqrt{\dfrac{0.5(1-0.5)}{58}}}{\sqrt{\dfrac{0.8(1-0.8)}{58} }}\Big][/tex]

[tex]= \phi \Big [ \dfrac{-0.3+ 2.33 (0.06565)}{\sqrt{0.0027586 }} \Big][/tex]

[tex]= \phi \Big [ \dfrac{-0.3+ 0.1529645}{0.052522} \Big][/tex]

[tex]= \phi \Big [ \dfrac{-0.1470355}{0.052522 } \Big][/tex]

[tex]= \phi \Big [-2.799\Big][/tex]

= 0.0026    ( to four decimal place).

Answer:

cross multification is correct answer

Answer:

the probability that more than 9 but fewer than 14 disapprove of smoking pot daily is 0.608

Step-by-step explanation:

From the information given:

Let N represent the total number of senior students

N = 17000

and k to be the number of seniors disapproving of daily pot smoking

k = 17000 × 0.70

k = 11900

sample size n = 18

Suppose X represents the random variable...

Then,

X = 0,1,2,...,18

Thus X follows a hypergeometric distribution with parameters

(N = 17000, n = 18 & k = 11900)

Thus, the  probability mass function is:

[tex]P(X =x) = \dfrac{(^k_n) (^{N-k}_{n-x} ) }{(^N_n) }; \ max \{0,(N-K) \} \le x \le min \{n,k\}[/tex]

[tex]P(X =x) = \dfrac{(^{11900}_n) (^{17000-11900}_{18-x} ) }{(^{17000}_{18}) }[/tex]

[tex]P(X =x) = \dfrac{(^{11900}_n) (^{51000}_{18-x} ) }{(^{17000}_{18}) }; \ 0\le x \le 18[/tex]

Now, the required probability is computed as:

[tex]P(9<X<14) = P(10 \le X \le13)[/tex]

[tex]P(9<X<14) = P(X =10) +P(X =11) +P(X=12) +P(X =13)[/tex]

[tex]P(9<X<14) = \left\{\begin{array}{c} \dfrac{(^{11900}_{10}) (^{5100}_{18-10}) }{(^{17000}_{18})} + \dfrac{(^{11900}_{11}) (^{5100}_{18-11}) }{(^{17000}_{18})}+ \dfrac{(^{11900}_{12}) (^{5100}_{18-12}) }{(^{17000}_{18})} + \dfrac{(^{11900}_{13}) (^{5100}_{18-13}) }{(^{17000}_{18})}\end{array}\right\}[/tex]P(9<X<14) = 0.0811 + 0.1377 + 0.1874 + 0.2018

P(9<X<14) = 0.608

Thus, the probability that more than 9 but fewer than 14 disapprove of smoking pot daily is 0.608

Answer:

Hi how are you doing today Jasmine

Answer:

40 and 32 i think

Step-by-step explanation:

i did it and im pretty sure its 40 and 32

Answer:

22 and 26

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A. when using elimination all number cancel out making it infinite solutions

B. has the same slope meaning the lines are parallel and will never intersect

C. when you isolate the y on 1 side for the 1st equation the equations are the same meaning infinite solutions

so d is the only one left

Hope this helps or makes sense.

Answer:

0

Step-by-step explanation:

Answer:

The equation of line with slope -7 passing through (5,9) in point-slope form is:

[tex]y-9 = -7(x-5)[/tex]

Step-by-step explanation:

Given

Slope of line = m = -7

Point = (5,9)

The point slope form of equation is obtained from a point and slope. It is given by the equation:

[tex]y-y_1 = m(x-x_1)[/tex]

We know that (x1,y1) = (5,9)

Putting the values we get

[tex]y-9 = -7(x-5)[/tex]

Hence,

The equation of line with slope -7 passing through (5,9) in point-slope form is:

[tex]y-9 = -7(x-5)[/tex]

Answer:

The price of a cold drink is 10 dollars.

Step-by-step explanation:

We can use proportion.

[tex] \frac{5 \: ice \: creams}{125 \: dollars} = \frac{1 \: ice \: cream}{x} \\ \\ \frac{5x}{5} = \frac{125}{5} \\ \\ x = 25[/tex]

So we found out that one ice-cream costs $25.00.

The statement said, "An ice cream costs 15 more than a cold drink"

In other words, A cold drink costs 15 dollars less than an ice cream.

So we would subtract.

[tex]25 - 15 = 10[/tex]

So a cold drink costs $10.00.

Answer:

i think is -1 because the value is -1

Answer:

D. -1

Step-by-step explanation:

ed2021

Answer:

Girl's basketball team has more seniors

Step-by-step explanation:

A varsity boy's basketball team has ratio of seniors to juniors that is 7:4.

Let there are 7x seniors and 4x juniors in boy's basketball team.

ATQ,

7x+4x = 12

11x = 12

x = 12/11

Seniors = [tex]7\times \dfrac{12}{11}=7.63[/tex]

The varsity girl's basketball team has a ratio of seniors to juniors that is 3 to 2.

Let there are 7x seniors and 4x juniors in girl's basketball team.

3x+2x = 12

5x = 12

x = 12/5

Seniors = [tex]7\times \dfrac{12}{5}=16.8[/tex]

As we can see that girl's basketball team has more seniors as compared to the boy's team.

Answer:

x= 12

Step-by-step explanation:

16=24

2x-6= 18

2x= 18+6= 24

2x= 24

x= 24/2= 12

hope it helps!

Answer:

x=12

Step-by-step explanation:

Line AC and line PR are congruent.

2x-6=18

2x=24

x=12

Answer:

I think 0.4 would be the answer

Answer:

0.12 go to places to the left

Answer:

Option (1)

Step-by-step explanation:

Option (1)

[tex]3\frac{3}{9}+7\frac{6}{11}=10\frac{87}{99}[/tex]

[tex]3\frac{3}{9}+7\frac{6}{11}[/tex] [tex]=3+\frac{3}{9}+7+\frac{6}{11}[/tex]

             [tex]=(3+7)+(\frac{3}{9}+\frac{6}{11})[/tex]

             [tex]=10+(\frac{3}{9}\times \frac{11}{11})+(\frac{6}{11}\times \frac{9}{9})[/tex]

             [tex]=10+(\frac{33}{99}+\frac{54}{99})[/tex]

             [tex]=10+\frac{87}{99}[/tex]

             [tex]=10\frac{87}{99}[/tex]

True.

Option (2)

[tex]2\frac{3}{8}+6\frac{4}{5}=8\frac{12}{40}[/tex]

[tex]2\frac{3}{8}+6\frac{4}{5}=2+\frac{3}{8}+6+\frac{4}{5}[/tex]

             [tex]=(2+6)+(\frac{3}{8}+\frac{4}{5})[/tex]

             [tex]=(8)+(\frac{3}{8}\times \frac{5}{5} +\frac{4}{5}\times \frac{8}{8})[/tex]

             [tex]=8+(\frac{15}{40}+\frac{32}{40})[/tex]

             [tex]=8+\frac{47}{40}[/tex]

             [tex]=8+\frac{40}{40}+\frac{7}{40}[/tex]

             [tex]=8+1+\frac{7}{40}[/tex]

             [tex]=9+\frac{7}{40}[/tex]

             [tex]=9\frac{7}{40}[/tex]

False.

Option(3)

[tex]3\frac{3}{7}+4\frac{2}{3}=7\frac{2}{21}[/tex]

[tex]3\frac{3}{7}+4\frac{2}{3}=(3+\frac{3}{7})+(4+\frac{2}{3})[/tex]

             [tex]=(3+4)+(\frac{3}{7}+\frac{2}{3})[/tex]

             [tex]=7+(\frac{3}{7}\times \frac{3}{3} +\frac{2}{3}\times \frac{7}{7})[/tex]

             [tex]=7+(\frac{9}{21}+\frac{14}{21})[/tex]

             [tex]=7+(\frac{23}{21})[/tex]

             [tex]=7+(\frac{21}{21}+\frac{2}{21})[/tex]

             [tex]=8+\frac{1}{21}[/tex]

             [tex]=8\frac{1}{21}[/tex]

False.

Option (4)

[tex]4\frac{5}{6}+5\frac{5}{7}=9\frac{10}{13}[/tex]

[tex]4\frac{5}{6}+5\frac{5}{7}=4+\frac{5}{6}+5+\frac{5}{7}[/tex]

             [tex]=(4+5)+(\frac{5}{6}+\frac{5}{7})[/tex]

             [tex]=9+(\frac{5}{6}\times \frac{7}{7}+\frac{5}{7}\times \frac{6}{6})[/tex]

             [tex]=9+(\frac{35}{42}+\frac{30}{42})[/tex]

             [tex]=9+\frac{65}{42}[/tex]

             [tex]=9+(\frac{42}{42}+\frac{23}{42})[/tex]

             [tex]=9+1+\frac{23}{42}[/tex]

             [tex]=10\frac{23}{42}[/tex]

False.

Therefore, Option (1) is the answer.

Answer:

well for me I think it's

Step-by-step explanation:

7.04×10^-2

Answer: y=−5/4x−5

Step-by-step explanation:

Answer:

The answer is C.This country has both a democracy and a theocracy

Given :

A bag contains 120 marbles. Some are red and the rest are black. There are 17 red marbles for every 3 black marbles.

To Find :

How many red marbles are in the bag.

Solution :

Let, number of red and black marbles are x and y respectively.

So, x + y = 120    ....1)

Now, it is given that there are 17 red marbles for every 3 black marbles.

So, 3x = 17y        ....2)

Putting value of x from equation 2) to equation 1), we get :

[tex]\dfrac{17y}{3}+y = 120\\\\\dfrac{20y}{3}=120\\\\y = 18\\\\x = 120 - 18\\\\x = 102[/tex]

Therefore, the number of red and black marbles are 102 and 18 respectively.

Answer:

A. 5

Step-by-step explanation:

-6 + 5 = -1

-1 + 5 = 4

4 + 5 = 9

9 + 5 = 14

Answer:

Yes, they are in a porpotional relationship.

Step-by-step explanation:

Answer:

A -$37

Step-by-step explanation:

5×6=30

30 +7= 37

since your losing money its negatively

-37

Answer:

We conclude that if we add (1, 4) to this set, it prevents the set from representing a function.

Step-by-step explanation:

Given the initial function

{(-3, 7), (1, 5), (4, 13)}

We know that the given function indicates the relation in which each input has only one output.

i.e.

at x = -3, y = 7

at x = 1, y = 5

at x = 4,y = 13

Thus, it represents a function, becaus there is no repetitive inputs.

The only way the above function will no longer be a function we bring a point, adding of which makes the initial function having repetitive inputs.

i.e. if we add (1, 4) to the initial set, the relation will no longer be a function.

because induction of the point (1, 4) causes repetitive inputs because x = 1 is already present in the set.

so adding the point (1, 4)

{(-3, 7), (1, 4), (1, 5), (4, 13)}

Now, check the points (1, 4) and (1, 5).

It is clear that there are multiple outputs for x = 1. In other words, the input is no more a unique value as x=1 has been repeated multiple times.

Therefore, we conclude that if we add (1, 4) to this set, it prevents the set from representing a function.

Answer:

y2=-8x is what's graphed so B.

Step-by-step explanation:

(I think you mistyped the choice)

Answer:

Which equation represents the parabola?  

a) y2 = –2x

b) x2 = –2y

c) y2 = –8x

d) x2 = –8y

Step-by-step explanation:

C for edge 2021