Plz help with this problem pic down below

The Leukemia and Lymphoma Society sponsors a 5K race to raise money. It receives $55 per race entry and $10,000 in donations, bu

tester [92]

<span>x = number of entries 55x + 10000 - 15x â‰Ą 55000 First, subtract 10000 from each side 55x - 15x â‰Ą 45000 Now, we can combine 55x and 15x because they've both got the same variable attached 40x â‰Ą 45000 Now divide each side by 40 to isolate x (which is the number of entries) x â‰Ą 1125 The race needs at least 1125 entries to raise at least $55,000.</span>

5 0

3 years ago

F(x) = -x + 2 equation of inverse

natali 33 [55]

F(x)=-x+2
y=-x+2
x=-y+2
Solve for y
x-2=-y
-y/-1=(x-2)/-1
y=-x+2
So f^-1(x) is gonna be -x+2

6 0

2 years ago

The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of 16

dusya [7]

Answer:

$F=\frac{s^2_2}{s^2_1}=\frac{5.5}{2.5}=2.2$

Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have $n_2 -1 =16-1=15$ and for the denominator we have $n_1 -1 =16-1=15$ and the F statistic have 15 degrees of freedom for the numerator and 15 for the denominator. And the P value is given by:

$p_v =2*P(F_{15,15}>2.2)=0.138$

For this case the p value is highert than the significance level so we haev enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviations are not significantly different

Step-by-step explanation:

Information given

$n_1 = 16$ represent the sampe size 1

$n_2 =16$ represent the sample 2

$s^2_1 = 2.5$ represent the sample deviation for 1

$s^2_2 = 5.5$ represent the sample variance for 2

$\alpha=0.10$ represent the significance level provided

The statistic is given by:

$F=\frac{s^2_2}{s^2_1}$

Hypothesis to test

We want to test if the variations in terms of the variance are equal, so the system of hypothesis are:

H0: $\sigma^2_1 = \sigma^2_2$

H1: $\sigma^2_1 \neq \sigma^2_2$