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KiRa [710]
2 years ago
12

If f(x)=7e^x, find which is the value of f(−3) rounded to the nearest hundredth.

Mathematics
1 answer:
hoa [83]2 years ago
5 0

Answer:

f(-3)\approx0.35

Step-by-step explanation:

f(x)=7e^x

f(-3)=7e^{-3}\approx0.35

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In a study of the effect of college student employment on academic performance, the following summary statistics for GPA were re
11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μemployed(μ1) be the sample mean of students who are employed and μnot employed(μ2) be the sample mean of students who are not employed

The random variable is μ1 - μ2 = difference in the mean of the employed and unemployed students.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(μ1 - μ2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 3.22

μ2 = 3.33

s1 = 0.475

s2 = 0.524

n1 = 172

n2 = 116

t = (3.22 - 3.33)/√(0.475²/172 + 0.524²/116)

t = - 1.81

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [0.475²/172 + 0.524²/116]²/[(1/172 - 1)(0.475²/172)² + (1/116 - 1)(0.524²/116)²] = 0.00001353363/0.00000005878

df = 230

We would determine the probability value from the t test calculator. It becomes

p value = 0.036

Since alpha, 0.05 > than the p value, 0.036, then we would reject the null hypothesis.

Therefore, at a 5% significant level, this information support the hypothesis that for students at this university, those who are not employed have a higher mean GPA than those who are employed

3 0
3 years ago
Given right triangle jkl, what is the value of cos(l)? five-thirteenths five-twelfths twelve-thirteenths twelve-fifths
kykrilka [37]

The value of the cosine ratio cos(L) is 5/13

<h3>How to determine the cosine ratio?</h3>

The complete question is added as an attachment


Start by calculating the hypotenuse (h) using

h^2 = 5^2 + 12^2

Evaluate the exponent

h^2 = 25 + 144

Evaluate the sum

h^2 = 169

Evaluate the exponent of both sides

h = 13

The cosine ratio is then calculated as:

cos(L) = KL/h

This gives

cos(L) =5/13

Hence, the value of the cosine ratio cos(L) is 5/13

Read more about right triangles at:

brainly.com/question/2437195

#SPJ1

3 0
2 years ago
5. What is the value of the expression [(29 + 18) +<br>(17 - 8)] = 8?<br>S​
Vladimir [108]

Answer:

False ; the answer to that equation is 56

Step-by-step explanation:

6 0
3 years ago
I need help someone please number 7
lesya [120]

Answer:

he need to sell 200 tickets

Step-by-step explanation:

driks=500

we need 1000 more

divide 5 (value of tickets) into 1000 (we need) =200

6 0
3 years ago
Read 2 more answers
Given the value of the hypotenuse c for a 30°-60°-90° triangle, write the
zlopas [31]

Answer:

a= c/2

b= (c/2)×√3

side b is the side with the 60 degree angle.

side a is the side with the 30 degree angle.

using the theorem that the side with the 60 degree × 2 = length of side c and the side with the 60 degree × √3 = b.

I get the following equations shown above.

6 0
2 years ago
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