In a certain class, 40% of the students are girls, and 20% of the girls wear glasses.What percent of the children in the class are girls who wear glasses?

Answers

Answer 1

Answer: answer is 8%

(0.40)*(0.20) = 0.08 multiply by 100 to determine percent = 8% of the class are girls who wear glasses

Answer 2

Answer:

Answer:

20%

Step-by-step explanation:

hehe idk i just wanted some points

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Ln(x + 1) − ln(2) = 1

Answers

Answer:

The answer to your question is: x = 4.44

Step-by-step explanation:

Data

ln(x + 1) − ln(2) = 1

In (x + 1)/2 = 1

(x + 1) / 2 = e¹

x + 1 = 2 (2.7183)

x = 5.44 - 1

x = 4.44

What is the sum of the geometric sequence 3, 15, 75, … if there are 8 terms?39,062
58,593
195,312
292,968

Answers

If you would like to know the sum of the geometric sequence, you can calculate this using the following steps:

3, 15, 75, 75 * 5 = 375, 375 * 5 = 1875, 1875 * 5 = 9375, 9375 * 5 = 46875, 46875 * 5 = 234375

3 + 15 + 75 + 375 + 1875 + 9375 + 46875 + 234375 = 292,968

The correct result would be 292,968.

Answer:

292,968

Step-by-step explanation:

Step 1: Use geometric sequence formula $s_n=(a1r^n)/(1-r)$

$S_n$ & $n$ = the sum of geometric sequence & terms in total (8)

$r$ = common ratio (5)

$a_1$ = first term in sequence (3)

$s_8=(3(5)^(^8^))/( 1-5 )\ns_8=((3)390625)/(-4)\ns_8= (1171875)/( -4 )\ns_8=292968$

Solve the following system.
x^2 + y^2 = 25
2x + y = 10
The solution set

Answers

$\begin{cases} x^(2)+y^(2)=25 \n 2x+y=10 \end{cases} \n \n \begin{cases} x^(2)+y^(2)=25 \n y=10 -2x\end{cases} \n \n \begin{cases} x^(2)+(10-2x)^(2)=25 \ny=10-2x \end{cases} \n \n \begin{cases} x^(2)+100-40x+4x^(2)=25 \ny=10-2x \end{cases} \n \n \begin{cases} 5x^(2)-40x+75=0 \ny=10-2x \end{cases}$

$\begin{cases} x^(2)-8x+15=0 \ny=10-2x \end{cases} \n \n \begin{cases} \Delta=(-8)^(2)-4*1*15=64-60=4; \ \ \ √(\Delta) =2 \ny=10-2x \end{cases} \n \n \begin{cases} x_(1)= (8-2)/(2) =3 \ \wedge \ x_(2)= (8+2)/(2)=5 \ny=10-2*3=4 \ \wedge \ y=10-2*5=0 \end{cases}$

1. What is the ratio of PQ to XY?

Answers

Answer:

1 : 5

Step-by-step explanation:

The ratio of PQ ; XY = 5 : 25 = 1 : 5 ← in simplest form

What is the value of x in this triangle?A.0.58°
B.o 28.89°
C.o 56.51°
D.o 33.49°

Answers

The value of x is 33.49°.

What is a right triangle?

A triangle with one of its angles measuring 90° is known as a right triangle.

Given a right triangle with a hypotenuse of length 58 and a leg of length 32.

Use the sine rule:

(sin90°) / 58 = (sinx) / 32

sinx = 32/58

x = sin⁻¹ ( 32/58)

x = 33.49°

Hence, the value of x is 33.49°.

Learn more about right triangles here:

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Answer:

D. 33.49

Step-by-step explanation:

Data were collected on the distance a home is located from a major city, x (in miles), and the selling price of the home, y (in thousands of dollars). The scatterplot of the data yielded a linear equation, y =31.0+3.12x. Identify the slope and y-intercept of the regression equation.

Answers

Answer:

Step-by-step explanation: hey you know whats crazy we are doing the same problem i just did it so cross multiply y and x then divide b 100 and you will get your answer you can also use a couculator we us e them is school

Final answer:

The slope and y-intercept of the regression equation 'y =31.0+3.12x' are 3.12 and 31.0, respectively. It suggests for every mile increase in distance from a major city, the price of a home increases by $3,120 and a home in the city costs $31,000 as base price.

Explanation:

In your regression equation, y =31.0+3.12x, 'y' represents the selling price of a home and 'x' is the distance it is located from a major city. The slope of the line, represented by 3.12, translates to every mile increase in distance from a major city, there's an increase of $3,120 in the home price. The y-intercept is 31.0, which means when the distance from a major city is zero miles (i.e., the home is in the city), the base price of the home is $31,000.

Learn more about Linear Regression here:

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