A local high school is raffle off a college scholarship to the students in its junior class, If a girl has a 0.55 chance of winning the scholarship and 154 of the juniors are girls, how many of the juniors are boys? (Assume that every junior has an equal chance to win.)

Answers

Answer 1

Answer: 126

Step-by-step explanation:

55% of student population is girls

if there are 154 girls then
0.55x = 154, where x represents school population

x=280

assuming the school only has boys and girls, anyone that's not a girl must be a boy, so

boys = 280 - 154 = 126.

if the school is not only boys and girls,

there will be 126 or less boys


Related Questions

Expand and simplify 3(x-3)+5(3x+4)

Answers

Answer:

3(x-3)+5(3x+4)

=18x+11

Answer:

18x+11

Step-by-step explanation:

All you have to do is add,subtract, and multiply

What is missing from the frequency chart below
A. the tallies are missing
B. the title is missing
C. the total is missing
D. there is nothing missing

Answers

The title, A
That's the number one thing that should be put on the graph, then the data and then the total

Answer:

B. The title, every chart first starts with the title, then data recording.

Step-by-step explanation:

HELP ME NOW PLS NOWWWWWW

Answers

First we identify the percent's as decimals

1%=0.01                    64%=0.64

Then we multiply our decimals by 300

0.01 x 300 = 3          0.64 x 300 = 192

If you notice, 64 x 3 is equal to 192

64 x 3 = 192

So the answers are 3 and 192

(Hope this helps!)

write anAlgebraic expression-
1. a box has c blue pen stick, d red pen stick and e black pen stick find the number of pens in the box​

Answers

Answer:

headboard ud. He. I’d Vic if joe

Step-by-step explanation:

first 6,000 digits of pi

Answers

Answer: the first 6000 digits of pi are 3.1415926535 8979323846 2643383279

Step-by-step explanation:

What is the slope and y-intercept of this line?
y = -3x+ 9
O
slope: 3, y-intercept: -9
O
slope: -3, y-intercept: 9
O

Answers

The slope is -3 and the intercept is (0,9) or just 9 in this case, I hope that it’s right

Can someone please determine this for me

Answers

Answer:


The relation is not a function

The class president wants to survey the students at the high school about the selection of food offered by the school cafeteria. The president knows that there are 150 boys and 175 girls in the high school. Which of the following is a representative sample of the high school population?
A
Sample 1: 10 boys and 10 girls

B
Sample 2: 10 boys and 35 girls

C
Sample 3: 6 boys and 7 girls

D
Sample 4: 7 boys and 6 girls

Answers

Answer:

C . Sample : 6 boy and 7 girls

Step-by-step explanation:

Data :

  Boys = 150

  Girls = 175

So ratio between boys and girls

     175/150  = 1.67

So when boy is 6

   6 ×1.667 = 7

Hi, i'm working on a presentation
I have to explain why its better to be good at academics than sports.
I need some pointer, 3 will do :)

Answers

Answer:

academics are more important than sport sports.

Step-by-step explanation:

studies are always more important than sports, because studies have more  job opportunities than sports. If you are good at your school subjects than there will be many possibilities to get into a good collage and  a good or decent paying job, but with sports on the other hand its much harder to get a scholarship and your preformance has to be perfect to almost perfect  and quite frankly the average sports scholarships is less than $11,000 which if you look at it isnt that much. And you are more prone to getting injuries.

Do the ratios
2
6
and
7
9
form a proportion?

Answers

Answer:

No

Step-by-step explanation:

Cross multiplying shows this is false.

Which statement describes one way the point 2, -5 relates to -2, 5 on a coordinated plane

Answers

I think its D: The point (-2, 5) is a reflection of the point (2, -5) across the x-axis and then the y-axis.

simplify 2(x +2) - x +3 (-x -2) -(2x +4)

Answers

Answer:

-4x - 6

Step-by-step explanation:

2(x + 2) = 2x + 4

3(-x - 2) = - 3x- 6

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

Add these binomials together

2x - 3x - 2x = -3x

4 - 6 - 4 = - 6

Result

-3x - 6

Now to this result we must subtract an x

-3x - x - 6 = - 4x - 6

Answer:

[tex]\boxed{\tt -4x-6}[/tex]

Step-by-step explanation:

[tex]\tt 2(x +2) - x +3 (-x -2) -(2x +4)[/tex]

First, apply the (Distributive property):-

[tex]\boxed{\tt -\left(a+b\right)=-a-b}[/tex]

[tex]\tt 2\left(x+2\right)-x+3\left(-x-2\right)-2x-4[/tex]

Expand, (Apply Distributive property):-

[tex]\tt 2\left(x+2\right)= \underline{\tt 2x+4}[/tex]

[tex]\tt 3\left(-x-2\right)=\underline{\tt -3x-6}[/tex]

[tex]\tt 2x+4-3x-6-3x-4[/tex]

Combine like terms:-

[tex]\tt (2x-3x-3x)+(4-6-4)[/tex]

[tex]\tt (2x-3x-3x)=\underline{\bold{ -4x}}[/tex]

[tex]\tt (4-6-4)=\underline{\bold{ -6}}[/tex]

[tex]\tt -4x-6[/tex]

____________________

An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15. 7 inches, so the equation to solve is 2a b = 15. 7. If we recall that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side, which lengths make sense for possible values of b? Select two options. –2 in. 0 in. 0. 5 in. 2 in. 7. 9 in.

Answers

The lengths that make the sense for the value of b are 0.5 inches and 2 inches.

Given

An isosceles triangle has two sides of equal length, a, and a base, b.

The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7.

What is the triangle inequality theorem?

If two sides of a triangle are unequal, the longer side has a greater angle opposite to it.

[tex]\rm a+a > b\\\\2a > b[/tex]

The equation of the perimeter of the triangle;

[tex]\rm 2a+b = 15.7\\\\2a = 15.7-b\\\\a = \dfrac{15.7-b}{2}[/tex]

1. Substitute b = 0.5 in the equation;

[tex]\rm a = \dfrac{15.7-b}{2}\\\\ a = \dfrac{15.7-0.5}{2} \\\\ a = \dfrac{15.2}{2}\\\\a = 7.6[/tex]

Then,

Verify the triangle inequality theorem;

0.5 + 7.6 > 7.6 is true

7.6 + 7.6 > 0.5 is true

2. Substitute b = 2 in the equation;

[tex]\rm a = \dfrac{15.7-b}{2}\\\\ a = \dfrac{15.7-02}{2} \\\\ a = \dfrac{13.7}{2}\\\\a = 6.85[/tex]

Then,

Verify the triangle inequality theorem;

0.5 + 76.85 > 6.85 is true

6.85 + 6.85 > 2 is true

Hence, the lengths that make the sense for the value of b are 0.5 inches and 2 inches.

To know more about the Triangle inequality theorem click the link given below.

https://brainly.com/question/1026055

A recipe for crumb cake says to mix 38 cup of brown sugar and 13 cup of white sugar.
From this sugar mixture, set aside 14 cup for the crumb topping.
The remaining sugar mixture is used to make the cake.
What amount of the sugar mixture is used to make the cake?

A. 1124 cup
B. 12 cup
C. 712 cup
D. 1724 cup

Answers

The answer would be B

model with mathematics. A bus can hold no more than 86 students. Write an inequality to describe the situation. - Graph the inequality

Answers

Answer:

x less than or equal to 86

Step-by-step explanation:

this is because x represents the number of people since the bus cant hold anymore than 86 you can only have 86 or less people on the bus

1>) Alexa's 4th grade class has a spelling list organized by subject. The spelling list includes
170 words about history, 75 words about science, 60 words about math, and 55 words about
geography. Each week, Alexa's teacher tests her on 15 words from the list. Alexa's class has
already had 7 weeks of spelling tests. How many more words will Alexa be tested on before
the end of the year?

Answers

Answer:

Solution:

Total words are 170 + 75+60+55=360.

Each week, Sofia is test with 15 words from the list.

Total number of weeks it will take to finish the test is 24.

Average number of weeks in a year is 25 approximately.

Seven weeks are already over, that means 15×7=105 words are covered from the list. Conclusion:

Remaining words are 360—105=255.

These words can be covered in a group of 15 in a week, so 25515=17 are the number of weeks.

Therefore, the number of words that Sofia will be tested on before the end of the year is 255.

Step-by-step explanation:

Answer:

170+75+60+55=360

15x7=105

360-105= 255

Alexa has 255 more words until the end of the year.

Step-by-step explanation:

Hope this helps!!!

-Liyah

Are the following triangles Similar? State why or why not. *

Answers

Answer:

the answer is 56

Step-by-step explanation:

because i siad so

Helpppp pleasee

You can use the recursion xn=(xn-1+10/xn-1)/3
the process of iteration to estimate the value of
V10 without using a calculator. What is the value
of the 2nd iterate if x0 = 3.1? Carry out your
answers to the 5th decimal place.

Answers

Using the recursion equation, it is found that the value of the 2nd iterate is:

[tex]x_2 = 3.16228[/tex]

What is the recursive equation?

The value of the nth iteration is given by:

[tex]x_n = \frac{x_{n-1} + \frac{10}{x_{n-1}}}{2}[/tex]

The initial estimate is:

[tex]x_0 = 3.1[/tex]

Hence, the 1st iterate is given by:

[tex]x_1 = \frac{x_0 + \frac{10}{x_0}}{2} = \frac{3.1 + \frac{10}{3.1}}{2} = 3.1629[/tex]

The 2nd iterate is:

[tex]x_2 = \frac{x_1 + \frac{10}{x_1}}{2} = \frac{3.1629 + \frac{10}{3.1629}}{2} = 3.16228[/tex]

Thus, the fourth option is correct.

You can learn more about recursive equations at https://brainly.com/question/6561461

Draw a line representing the rise And a line representing the run of the mind state is slope of the line in simplest form

Answers

Answer:

The slope is (1/5)

Step-by-step explanation:

See attached

Dan selected a random sample of 100 students from the 1,200 at his school to investigate preferences for making up school days lost due to emergency closings. The results are shown in the table. Dan incorrectly performed a large sample test of the difference in two proportions using 58/100 and 42/100 and calculated a p-value of 0.02. Consequently, he concluded that there was a significant difference in preference for the two options. Which of the following best describes his error in the analysis of these data?
A. No statistical test was necessary because 0.58 is clearly larger than 0.42.
B. The results of the test were invalid because less than 10% of the population was sampled.
C. Dan performed a two-tailed test and should have performed a one-tailed test.
D. A one-sample test for a proportion should have been performed because only one sample was used.
E. More options should have been included, and a chi-square test should have been performed.

Answers

The error that Dan made was that D. A one-sample test for a proportion should have been performed because only one sample was used.

Facts about Dan's researchHe used only one sample being the 100 students he selected.He tested the difference in two proportions.

Dan should however have only used a one-sample test because the he only used one sample. By using a test that catered for two proportions, he misanalysed the data.

In conclusion, option D is correct.

Find out more on sample tests at https://brainly.com/question/15683511.

Megan buys 2 new shirts for $16 each, crocs for $34, and a hat for $13. She bought the new clothes with a discount code of 15% off. How much did everything cost Lilah if there was also a 5% sales tax? (Round to the nearest hundredth)​

Answers

Answer:

2 shirts - 16$ each

i.e. 32$

1 crocs pair - 34$

A hat - 13$

so the total she spent was,

16+16+34+13 = 79$

Now, if she is using 15% off in the total amount that will cost her => $11.85 !

since she is paying 5% sales tax so the final she paid is:

$12.44/

A new car costs $23,649. The dealer
has an end-of-the-year sale, and the
car will be priced at $22,399. How
much money can a customer save by
purchasing the car on sale?

Answers

Answer:

$1250

Step-by-step explanation:

subtract $22399 from $23649 which is $1250

Charlie wants to order lunch for his friends. He'll order 6 sandwiches and a $2
kid's meal for his little brother. Charlie has $32. How much can he spend on
each sandwich if they are all the same price?
Choose two answers: one for the inequality that models this situation and
one for the correct answer.
A. Inequality: 2x + 6 s 32
B. Answer: $13 or less
n C. Answer: $5 or less
D D. Inequality: 2x + 6 < 32
E. Inequality: 6x + 2232
-
F. Inequality: 6x + 2 5 32

PLEASE HELP

Answers

2 + 6x ≤ 32

6x ≤ 30

x ≤ 5

C and F are your answers

By selling a chair for $372, Daisy loses 7%. At what price must she sell it to gain 10%.​

Answers

Answer: $440

Step-by-step explanation:

Given selling price = $ 372

Loss % = 7%

We know, cost price = selling price × 100/100 - loss%

Therefore, cost price = 372 × 100/100 - 7

= 372 × 100/93

= $400

Now cost price = $400

Gain% = 10%

Therefore, selling price = (100 + gain%)cost price/100

= (100 + 10)400/100

= 110 × 4

= $440

find the perimeter of a square that is 3 3/4 inches on a side

Answers

Answer:

perimeter = 3 inches

Step-by-step explanation:

A square has 4 congruent sides , then

perimeter = 4 × [tex]\frac{3}{4}[/tex] ( cancel the 4's )

                = 3 inches

my question is “explain how to use partial quotients to divide 235 by 5.”

Answers

Answer:

235 can be split into 200+30+5. Each of these can be divided by 5: 200/5+30/5+5/5=40+6+1=47 to give us the quotient.

Another way is to double 235=2*200+2*30+2*5=400+60+10=470 and divide the result by 10 by simply removing the zero to give the quotient 47. This works because dividing by 5 is the same as doubling and dividing by 10: 2/10=1/5.

A company rents out 18 food booths and 23 game booths at the county fair. The fee for a food booth is $175 plus $8 per day. The fee for a game booth is $50 plus $7 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.

Answers

Answer:

Step-by-step explanation:

For the food booths, we can create an equation based on the y = mx + b equation. Since they are charging 8 dollars per day and they last for d days, then the slope is 8 or the rate is 8d. Since they also charge us 175 dollars which is a one time fee, it is the y-intercept. So the equation is

y = 8d + 175.

Since there are 18 food booths, then we can multiply the equation by 18.

y = 18(8d + 175)

y = 144d + 3150

For the game booth, we do the same thing. Since they charge us 7 dollars per day and the fair lasts for d days, then the rate is 7d. Since they also charge us 50 dollars as a one time fee, then it is the y-intercept. The equation for the game booth is:

y = 7d + 50

Since there are 23 game booths, multiply the equation by 23.

y = 23(7d + 50)

y = 161d + 1150

Now add them up to know how much they are being paid.

y = 305d + 4300

Hope this helps.

Please help me anyone

Answers

Answer:

Katherine is 6, Katherine's mother is 38

Step-by-step explanation:

Katherine: x

Mother: x²+2

equation: x²+x+2=44

x²+x-42

sum: 1

product: -42

numbers: 7, -6

(x+7)(x-6)

x+7=0 so x=-7 but an age cannot be negative

x-6=0 so x=6 this is an appropriate answer

substitue values back in

Katherine : 6

mother: 6²+2 (36+2)=38

Answer:

1st option is correct.

kathryn is 6 and her mother is 38

Step-by-step explanation:

Let her mother's age be y,

y = 2+x²

x+y = 44

y = 44-x

Now,

y = 2+x²

or, 44-x = 2+x²

or, 44-2 = x²+x

or, x²+x = 42

or, x²+x-42 = 0

or, x²+(7-6)x-42 = 0

or, x²+7x-6x-42 = 0

or, x(x+7)-6(x+7) = 0

or, (x+7)(x-6) = 0

Now,

x + 7 = 0

either, x = -7

or,

x-6 = 0

so, x = 6

We know age is never negative so x is 6.

Now,

x+y = 44

or, 6+y = 44

so, y = 38

Sorry but I need help with more questions -_-

Answers

Given ratio :-

3 : 2

Let's write it in fraction:-

[tex] \boxed{ \tt \dfrac{3}{2} }[/tex]

Half ratio given :-

6 : ?

Now as u can see if 3 is multiplied by 2 then we get 6

so multiply numerator and denominator by 2

[tex] \to\sf \dfrac{3 \times 2}{2 \times 2} [/tex]

[tex] \to\sf \dfrac{6}{4} [/tex]

Required Answer:

6 : 4

g is a trigonometric function of the form g(x) = a sin(bx + c) + d. Below is the graph g(x). The function intersects its midline at 3/4 *pi, 3) and has a maximum point at (pi,7) Find a formula for g(x). Give an exact expression.​

Answers

Answer:

[tex]g(x)=4sin(2x+\frac{\pi}{2})+3[/tex]

Step-by-step explanation:

Because the function intersects its midline at [tex](\frac{3\pi}{4},3)[/tex], then the midline is [tex]d=3[/tex].

Additionally, the amplitude is just the positive distance between the maximum/minimum and the midline, so the amplitude is [tex]a=7-3=4[/tex].

Also, given that period is [tex]\frac{2\pi}{b}[/tex] and the fact that the period is [tex]\pi-0=\pi[/tex] from our given maximum, we have the equation [tex]\frac{2\pi}{b}=\pi[/tex] where [tex]b=2[/tex].

Lastly, to find [tex]c[/tex], we know that the phase shift, [tex]-\frac{c}{b}[/tex], is [tex]-\frac{\pi}{4}[/tex] (or [tex]\frac{\pi}{4}[/tex] to the left) since [tex]\pi-\frac{3\pi}{4}=-\frac{\pi}{4}[/tex]. Therefore, we have the equation [tex]-\frac{c}{2}=-\frac{\pi}{4}[/tex] where [tex]c=\frac{\pi}{2}[/tex].

Putting it all together, our final equation is [tex]g(x)=4sin(2x+\frac{\pi}{2})+3[/tex]

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