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Vika [28.1K]
3 years ago
8

Two less than three-fifths a number less or equal to forty-one

Mathematics
2 answers:
Ivan3 years ago
8 0

Answer:

\frac{3}{5}x-2\leq 41

x\leq \frac{215}{3}

Step-by-step explanation:

In inequality,

'≥' = greater than equal to,

'≤' = less than equal to,

Given phrase,

two less than three-fifths a number less or equal to forty-one,

Let x represents the unknown number,

two less than three-fifths of a x = \frac{3}{5}x-2

\frac{3}{5}x-2 less or equal to forty-one,

\frac{3}{5}x-2\leq 41

Which is the required inequality,

By solving it,

\frac{3}{5}x\leq 43

x\leq \frac{43\times 5}{3}=\frac{215}{3}

Leviafan [203]3 years ago
6 0
(x divided by 3/5) -2<41
                                -
i hope this helps

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10

Step-by-step explanation:

Given:it takes them 1.5 hours to plant one acre.

So, in order to plant all 15 acres it would take

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3 years ago
Consider a left-tailed test, where the p-value is found to be 0.10. If the sample size n for this test is 49, then the t statist
tigry1 [53]

Answer:

df=n-1=49-1=48  

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p_v = P(t_{48} < t_{calculated})=0.1

And we can find the calculated value using excel or the t table.

If we use the following excel code we got: "=T.INV(0.1,48)"

And the calculated value is t_{calculated}=-1.29944

Step-by-step explanation:

State the null and alternative hypotheses to be tested  

We need to conduct a hypothesis in order to determine if the true mean is lower than specified valu \mu_o, the system of hypothesis would be:  

Null hypothesis:\mu \geq \mu_o  

Alternative hypothesis:\mu < \mu_o  

Compute the test statistic  

We don't know the population deviation, so for this case 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".  

We can find the degrees of freedom for this test given by:

df=n-1=49-1=48  

We know that the p value is 0.1, and since is a left tailed test would be given by:

p_v = P(t_{48} < t_{calculated})=0.1

And we can find the calculated value using excel or the t table.

If we use the following excel code we got: "=T.INV(0.1,48)"

And the calculated value is t_{calculated}=-1.29944

3 0
3 years ago
A package of 5 pairs of insulated gloves costs ?$31.45. What is the unit price of the pairs of gloves??
Eduardwww [97]
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6 0
3 years ago
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Cheryl is buying lace for her dance costume. One foot of lace costs 3 dollars. How much does each amount cost?
NemiM [27]

Answer:

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Step-by-step explanation:

This question is solved by rule of three, due to proportions.

One foot of lace costs 3 dollars. How much is 3/4 of a foot going to cost?

1 foot - 3 dollars

3/4 foot - x dollars

x = 3 \times \frac{3}{4} = \frac{9}{4} = 2.25

So

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7 0
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