MATHEMATICS HIGH SCHOOL

In a housing project there are 350 households in which English is spoken, 50 in which Spanish is spoken, and 100 in which the language is other than English or Spanish. If a psychologist approaches a house at random to conduct an interview, the chance that the language in that household will NOT be English?a- .002b- .14c- .3d- .43

Answers

Answer 1

Answer:

Answer: C. 0.3

Step-by-step explanation:

Given : Number of English speaking households =350

Number of Spanish speaking households =50 (1)

Number of households in which the language is other than English or Spanish=100 (2)

Total households participates in this survey =350+50+100=500

No. of households not speak English =100+50=150 (Add (1) and (2))

If a psychologist approaches a house at random to conduct an interview, the chance that the language in that household will NOT be English will be :_

$\frac{\text{No. of households not speak English}}{\text{Total households}}\n\n=(150)/(500)\n\n=(3)/(10)=0.3$

Hence, the correct option is option (c).

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A phone store employee earns a salary of $450 per week plus 10% comission on her weekly sales. A) What function rule models the employee's weekly earnings? B)If the employee earned $570 in a week, what was the amount of her sales for that week?

Answers

Answer:

A) $E(w)=450+0.10w$

B) $1200

Step-by-step explanation:

Let w represent employee's weekly sales and $E(w)$ be total weekly earnings.

We have been given that a phone store employee earns a salary of $450 per week plus 10% commission on her weekly sales.

A) The total weekly earnings of employee would be weekly salary plus 10% of weekly sales.

10% of weekly sales, w, would be $(10)/(100)*w=0.10w$

$E(w)=450+0.10w$

Therefore, the function $E(w)=450+0.10w$ models the employee's weekly earnings.

B) To find the weekly sales in the week, when employee earned $570, we will substitute $E(w)=570$ in our formula and solve for w as:

$570=450+0.10w$

$570-450=450-450+0.10w$

$120=0.10w$

$0.10w=120$

$(0.10w)/(0.10)=(120)/(0.10)$

$x=1200$

Therefore, the amount of employee's weekly sales was $1200.

Which decimal represents 3/5

Answers

The fraction ' 3/5 ' means "three divided by 5" .
When you perform the division, the quotient is 0.6 .
That's the decimal form of the fraction.

.6--because 3 divided by 5 is .6

Savanah solved the equation 3 + 4| + 3| = 11 for one solution. Her work is shown below:4| + 3| = 8
| + 3| = 2
+ 3 = 2
= –1
x = –2

What is the other solution to the given absolute value equation?
x=

Answers

The other solution to the given absolute value equation is x = -6 and this can be determined by using the arithmetic operations.

Given :

Equation --- 3 + 4|x + 3| = 11

The following steps can be used to evaluate the given equation:

Step 1 - Write the given equation.

3 + 4|x + 3| = 11

Step 2 - Take the negative sign of modulus that is:

3 + 4(- x - 4) = 11

Step 3 - Simplify the above equation.

3 - 4x - 16 = 11

Step 4 - Add 4x on both sides in the above expression.

3 - 16 = 11 + 4x

-13 = 11 + 4x

Step 5 - Subtract 11 on both sides in the above expression.

-13 - 11 = 11 - 11 + 4x

- 24 = 4x

Step 6 - Divide 24 by 6 in the above equation.

x = -6

For more information, refer to the link given below:

brainly.com/question/15385899

Answer:

-10

Step-by-step explanation:

edg

A coach wants to know if soccer players who warm up before a game will score more points than those who don't warm up. He will break the team up into two groups and make sure each player gets equal time on the field. He will then count how many points each player makes during the game. What statistic should he study?The standard deviation of the number of points earned by each player
The standard deviation of the number of points earned by each group
The mean number of points earned by each player
The mean number of points earned by each group

Answers

The correct answer is the last option.

Since the coach is studying the two different groups, the results will be more meaningful if the groups are compared to one another as opposed to the players. It would also make more sense to study the mean (or average) of the points scored, rather than the standard deviation (which is essentially a measure of how spread out a set of numbers are).

Answer:

The answer is The mean number of points earned by each group

Step-by-step explanation:

How do you convert 0.125 into a ratio

Answers

Start by writing the ratio of:

0.125/1 (since a number divided by 1 is itself)

Then multiply the numerator and denominator by 10, 100, or 1000, etc. until the numerator becomes an integer: (in this case multiplying by 1000 does the trick)

(0.125*1000)/(1*1000)
125/1000

Now simplify by dividing by common factors. For this problem, 5 is a common factor of both the numerator and denominator:

(125/5)/(1000/5)
25/200

Do this again with another common factor if possible. For this problem, 25 is another common factor:

(25/25)/(200/25)
1/8

Now there are no more common factors between the numerator and denominator. When this is the case, the fraction can be considered to have been simplified:

Answer is: 1/8

Answer:

Start by writing the ratio of:

0.125/1 (since a number divided by 1 is itself)

Then multiply the numerator and denominator by 10, 100, or 1000, etc. until the numerator becomes an integer: (in this case multiplying by 1000 does the trick)

(0.125*1000)/(1*1000)

125/1000

Now simplify by dividing by common factors. For this problem, 5 is a common factor of both the numerator and denominator:

(125/5)/(1000/5)

25/200

Do this again with another common factor if possible. For this problem, 25 is another common factor:

(25/25)/(200/25)

1/8

Now there are no more common factors between the numerator and denominator. When this is the case, the fraction can be considered to have been simplified:

Answer is: 1/8

Step-by-step explanation:

A hot air balloon is flying above Groveburg. To the left side of the balloon, the balloonist measure the angle of depression to the Groveburg soccer fields to be 20° 15'. To the right side of the balloon, the balloonist measures the angle of depression to the high school football field to be 62° 30'. Find the distance from the balloon to the soccer fields

Answers

Answer:

Solution : 3.6 miles

Step-by-step explanation:

The first step in solving this problem is to convert 15' to degrees --- (1) . 15' is represented as 15 minutes, so to convert to degrees we have 15 / 60 = 0.25°. Adding 20 + 15' we should get 20 + 0.25 = 20.25 (degrees).

Now remember that on the right side we have the football field, 62° 30'. Let's convert that 30' into degrees --- (2). 30 / 60 = 0.5, and 62 + 0.5 = 62.5.

Using both this information we can calculate the angle from the balloon to the horizontal. That would be 180 - 20.25 - 62.5 = 97.25°. Therefore the distance from the balloon to the soccer fields would be as follows,

distance / sin(62.5) = 4 / sin(97.25)

Let distance = x ...

x / sin(62.5) = 4 / sin(97.25),

x / 0.88701083317 = 4 / 0.99200494968,

x * 0.99200494968 = 4 * 0.88701083317,

x * 0.99200494968 = 3.548,

x = ( About ) 3.5766 miles

Given the options the distance from the balloon to the soccer fields would be 3.6 miles.

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(x-4)^2+12(x-4)+20=0