the length of a rectangular yard is 50ft and it's perimeter is less than 170ft. Describe the width of the yard.

There are 5 different French books and 5 different Spanish books. How many ways are there to arrange them on a shelf if

hram777 [196]

B because french and Spanish are alternate soo they grouped and spanish goes second and begin with french book

6 0

3 years ago

What is 1/10 of 0.092?

bezimeni [28]

When you multiply by 1/10 you normally add another 0:
1/10 * 0.092=0.0092

6 0

3 years ago

In a study of cereal leaf beetle damage to oats, researchers measured the number of beetle larvae per stem in small plots of oat

PSYCHO15rus [73]

Answer:

At 0.05 level of significance, there is no difference in the mean number of larvae per stem. This supports the scientist's claim.

(d) H0: MeanMalathion - MeanNoMalathion equals 0

H1: MeanMalathion - MeanNoMalathion not equals 0

Step-by-step explanation:

Test statistic (t) = (mean 1 - mean 2) ÷ sqrt[pooled variance (1/n1 + 1/n2)]

Let the difference between the two means be x and the pooled variance be y

n1 = 5, n2 = 12

t = x ÷ sqrt[y(1/5 + 1/12)] = x ÷ sqrt(0.283y) = x ÷ 0.532√y = 1.88x/√y

Assuming the ratio of x to √y is 0.5

t = 1.88×0.5 = 0.94

n1 + n2 = 5 + 12 = 17

degree of freedom = n1 + n2 - 2 = 17 - 2 = 15

significance level = 0.05 = 5%

critical value corresponding to 15 degrees of freedom and 5% confidence interval is 2.131

The test is a two-tailed test because the alternate hypothesis is expressed using not equal to.

The region of no rejection of the null hypothesis lies between -2.131 and 2.131

Conclusion

Fail to reject the null hypothesis because the test statistic 0.94 falls within the region bounded by the critical values.

The scientist's claim is right.

A null hypothesis is a statement from a population parameter which is either rejected or accepted (fail to reject) upon testing. It is expressed using the equality sign.

An alternate hypothesis is also a statement from a population parameter which negates the null hypothesis and is accepted if the null hypothesis is rejected. It is expressed using any of the inequality signs.

3 0

3 years ago

Jackson has a gift card for $120 to use at a department store. he wants to purchase 2 shirts and 3 pairs of pants with his gift

mylen [45]

The domain of this relationship can be defined as,

0 ≤ x ≤ 60

The range of this relationship can be defined as,

0 ≤ y ≤ 40

Definition of Domain and Range

The set of all the possible input values for which the provided function is defined is termed as the domain of that function.

The set of all the possible values that a given function can generate as an output is termed as the range of that function.

Forming the Relation

It is given that,

Jackson wants to purchase 2 shirts and 3 pairs of pants with his gift card

x represents the cost of the shirts and y represents the cost of the pants

The limit of the gift card = $120

Thus, the relation formed is given by,

$2x + 3y \leq 120$

Domain and Range of the Given Relation

We have,

$2x + 3y \leq 120$

⇒ $2x \leq 120$

⇒ $x\leq60$

Thus, the domain is given by,

⇒ $0\leq x\leq 60$

Similarly,

$3y\leq 120$

⇒ $y\leq 40$

Thus, the range is given by,

⇒ $0\leq y\leq 40$

Learn more about domain and range here:

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7 0

2 years ago

Simplify. (−5p4z6u)3

sineoko [7]

The rules of exponents tell you that you can distribute the exponent to each of the factors. When one already has an exponent, those exponents multiply.
$(-5p^{4}z^{6}u)^{3}=(-5)^{3}\cdot(p^{4})^{3}\cdot(z^{6})^{3}\cdot u^{3}\\\\=-125p^{4\cdot 3}z^{6\cdot 3}u^{3}\\\\=-125p^{12}z^{18}u^{3}$

4 0

3 years ago