2x + 8 = 44
2x = 36
x = 18
There are 18 boys, and 26 girls
*Brainliest please ♡´・ᴗ・`♡
The angle of depression equals 32.
A way that you can solve this is by finding angle c. Angle C would be the same as the angle of depression because of alternate angles being congruent.
So you do the triangle angle sum theorem.
58+90+x=180
Simplify
148 +x=180
Subtract 148 from both sides
x=32
So Since angle c equals to 32 degrees, then the angle of depression is also 32 degrees.
Answer:
b. -x + y = 0
Step-by-step explanation:
<u />
<u>Direct variation</u>:
Direct variation means "y varies directly as x”:

where k is the (non-zero) constant of variation.
To determine which of the given equations represents a direct variation, isolate y for each and compare with the <u>direct variation equation</u>.
<u>Equation a</u>

This is not a direct variation equation as there is an addition of -2.
<u>Equation b</u>


This is a direct variation equation where the constant of variation is 1.
<u>Equation c</u>


This is not a direct variation equation as y is <u>inversely proportional</u> to x.
<u>Equation d</u>

This equation does not include the variable x, and so is therefore not a direct variation equation.
Answer:
range of a function is that limit in which variation of any function is possible. Hence, required range of the given function y= -3sinx-4 is [-7,-1].
Step-by-step explanation:
Answer:
There is no difference in the mean number of times men and women send a Twitter message in a day
Zmen = 0.4
Zwomen = 0.2
Step-by-step explanation:
Null hypothesis: There is no difference in the mean number of times men and women send a Twitter message in a day
Alternate hypothesis: There is a difference in the mean number of times men and women send a Twitter message in a day
Z = (sample mean - population mean)/(sd ÷ √n)
Zmen = (25 - 23)/(5÷√1) = 2/5 = 0.4
Zwomen = (30 - 28)/(10÷√1) =2/10= 0.2
For a two tailed test, at 0.01 significance level, the critical value is 2.576
0.2 and 0.4 falls within the region bounded by -2.576 and 2.576, so we fail to reject the null hypothesis
There is no difference in the mean number of times men and women send a Twitter message in a day