All categories

3 years ago

Mr. Weaver has 36 history students. The ratio of girls to boys is 2:1. How many girls does he have in his class?

Mathematics

1 answer:

mina [271]3 years ago

5 0

Answer:

24 girls

Step-by-step explanation:

24:12

2:1

You might be interested in

M is proportional to the cube of r. when r=3m,m=216.when r=5 find the value of m

klio [65]

Answer:

The value of m is 1000 for r=5

Step-by-step explanation:

Given that m is proportional to the cube of r

It can be written as:

$m \propto\ r^3$

When the proportionality symbol is removed a proportionality constant is introduced in the equation.

Let k be the proportionality constant

$m = kr^3$

Given

r=3,m=216

Putting the values

$216 = k(3)^3\\216 = k * 27\\k = \frac{216}{27}\\k = 8$

The equation will now become

$m = 8r^3$

Putting r = 5

$m = 8(5)^3\\m = 8 * 125\\m = 1000$

Hence,

The value of m is 1000 for r=5

7 0

3 years ago

It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 122 feet. A transportat

madreJ [45]

Complete Question

The complete question is shown on the first uploaded image

Answer:

the null hypothesis is $H_o : \mu = 122$

the alternative hypothesis is $H_a : \mu \ne 122$

The test statistics is $t = - 1.761$

The p-value is $p = P(Z < t ) = 0.039119$

$p \ge 0.01$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 122$

The sample size is n= 38

The sample mean is $\= x = 116 \ feet$

The standard deviation is $\sigma = 21$

Generally the null hypothesis is $H_o : \mu = 122$

the alternative hypothesis is $H_a : \mu \ne 122$

Generally the test statistics is mathematically evaluated as

$t = \frac { \= x - \mu }{\frac{ \sigma }{ \sqrt{n} } }$

substituting values

$t = \frac { 116 - 122 }{\frac{ 21 }{ \sqrt{ 38} } }$

$t = - 1.761$

The p-value is mathematically represented as

$p = P(Z < t )$

From the z- table

$p = P(Z < t ) = 0.039119$

$p \ge 0.01$

4 0

2 years ago

Graph the functions f(x) = -6x +2 and g(x) = -22+2 +6 on the same coordinate plane

Juliette [100K]

X=0 and x=2, the first graph is a line, the second graph is logrithmic and there are two points of intersection

4 0

3 years ago

Solve for x: 2-3(2x-1)=-6x+5

horrorfan [7]

Answer:

x=-1

Step-by-step explanation:

1.) 2-3(2x-1)=-6x+5

2.) -1(-2x-1)=-6+5

3.) (2x+1)=-6+5

4.) (2x+1)=-1

5.) 2x=-2

6.) x=-1

3 0

3 years ago

In a sequence described by a function, what does the notation f(3) = 1 mean?

Rudik [331]

Answer:

The third term in the sequence has a value of 1.

Step-by-step explanation:

"f(x)" is the name (label) of the function. If x is replaced by "3", f(3) represents the value of the 3rd term of the function, which is 1. This corresponds to Answer 3: The third term in the sequence has a value of 1.

5 0

3 years ago

Mr. Weaver has 36 history students. The ratio of girls to boys is 2:1. How many girls does he have in his class?​

Mr. Weaver has 36 history students. The ratio of girls to boys is 2:1. How many girls does he have in his class?