Pls help me rn bec sue tmr pls pls

If the simple interest on $4000 for 2 years is $400, then what is the interest rate?

ivanzaharov [21]

Step-by-step explanation:

the answer is 5 percentage because the formula is 100 * 400 over 4000 * 2

6 0

2 years ago

Help ASAP please need it rn !!!

Leto [7]

I think maybe it’s C???

6 0

2 years ago

Write each compound inequality as an absolute value inequality 1.3

kakasveta [241]

Consider an absolute value inequality.

For example, 3≤|x-7|

this means that x-7 can be

i) 3, 3.4, 5, 7.5 etc

or ii) -3, -3.2, -4.7 etc since these values in abs value all are ≥3

thus the set of all values in i) is represented by x-7≥3, which means x≥10

and the set of all values in ii) is x-7≤-3, which means x≤4.

Thus, the compound inequality is : x≥10 OR x≤4

an absolute inequality corresponding to this compound inequality is 3≤|x-7|

7 0

3 years ago

the admission fee for a charity event is 7 dollars for children and 10 dollars for adults the event was attended by 700 people a

ollegr [7]

Given:
$7/child
$10/adult
Total people = 700
Total money = $6,400

First, make two equations.
Let a = # of adults & Let c = # of children.
Let p = total people

1. a+c = 700
2. 10a+7c = 6,400

Then, rearrange the equation to solve for a variable.
c = 700-a

Substitute (700-a) for c, or the # of children in the second equation.
10a+(700-a) = 6400
9a+700 = 6400
9a+700-700 = 6400-700
9a = 5700
9a/9 = 5700/9
a = 633 $\frac{1}{3}$ = # of adults attended

700-633 $\frac{1}{3}$ = c = 66 $\frac{2}{3}$ = # of children attended

4 0

3 years ago

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 420 gram setting. It is

anastassius [24]

Answer:

$t=\frac{424-420}{\frac{26}{\sqrt{61}}}=1.202$

$p_v =2*P(t_{(60)}>1.202)=0.234$

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the true mean is NOT different from 420. So the specification is satisfied.

Step-by-step explanation:

Data given and notation

$\bar X=424$ represent the sample mean

$s=26$ represent the sample standard deviation

$n=61$ sample size

$\mu_o =420$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is different from 420 or not, the system of hypothesis would be:

Null hypothesis: $\mu = 420$

Alternative hypothesis: $\mu \neq 420$

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{424-420}{\frac{26}{\sqrt{61}}}=1.202$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=61-1=60$

Since is a two sided test the p value would be:

$p_v =2*P(t_{(60)}>1.202)=0.234$

Conclusion

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the true mean is NOT different from 420. So the specification is satisfied.

4 0

2 years ago