2. The product of an even number and an odd number is an even number.

A fast-food restaurant claims that a small order of french fries contains 120 calories. A nutritionist is concerned that the tru

Pie

Answer:

Correct option is (C).

Step-by-step explanation:

The p-value is well defined as the probability, [under the null-hypothesis (H₀)], of attaining a result, of a statistical hypothesis test, equivalent to or greater than what was the truly observed.

A small p-value (typically ≤ 0.05) specifies solid proof against the null hypothesis (H₀), so you reject the null hypothesis.

A large p-value (> 0.05) specifies fragile proof against the H₀, so you fail to reject the null hypothesis.

A nutritionist is concerned that the true average calorie count in the french fries served by a fast-food restaurant is higher than 120 calories.

The hypothesis to test this can be defined as:

H₀: The true average calorie count in the french fries is 120 calories, i.e. μ = 120.

Hₐ: The true average calorie count in the french fries is more than 120 calories, i.e. μ > 120.

The test statistic is:

$z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}$

The sample mean calories in the sample of 35 small orders of french fries is,

$\bar x=155.6$

And the p-value is,

p-value = 0.00093

The p-value can be interpreted as the probability of getting a sample of 155.6 calories or greater when the population mean is 120 calories.

That is,

$\bar x-\mu=155.6-120=35.6$

The p-value can also be interpreted as probability of getting a sample of 84.4 calories or less when the population mean is 120 calories.

$\bar x-\mu=-35.6$ *

*Since the normal distribution is symmetric the P (Z < -z) = P (Z > z).

So,

$\bar x-\mu=-35.6$

$\\\bar x=-35.6+120\\\bar x=84.4$

Thus, the correct option is (C).

3 0

3 years ago

Carmen has a $350 gift card to spent at Modell's. She wants to buy 2 pairs of sneakers that cost $100 each. She wants to find th

tatyana61 [14]

Answer:

The inequality is $200 + x*$8≤ $350

Step-by-step explanation:

An inequality is an inequality between letters (unknowns) and numbers related by arithmetic operations. Its solution set is the set of real numbers that satisfy it. In other words, an algebraic inequality in which its members are linked by the signs <(less than), ≤ (less than or equal to),> (greater than) or ≥ (greater than or equal to) is called an inequality.

Solving an inequality is to find the values of the unknown for which the inequality holds. The solution of an inequality is an interval or a union of intervals of real numbers.

In this case, you know that Carmen wants to buy 2 pairs of sneakers that cost $ 100 each.So the 2 pairs of sneakers will cost Carmen:

2 * $ 100 = $ 200

On the other hand, Carmen wants to find the possible amount of socks that she can buy, knowing that a pair costs $ 8. Being x the amount of socks that she can buy, then Carmen spends on socks:

x*$8

Knowing that Carmen has a $ 350 gift card to spend at Modell's, then what she spent on sneakers and socks cannot be more than $ 350. That is to say, the sum of what was spent on sneakers and socks must be less than or equal to $ 350, because Carmen cannot spend more than she has. This is expressed by the following inequality:

$200 + x*$8≤ $350

Solving for x:

x*$8 ≤ $350 - $200

x*$8≤ $150

x≤ $\frac{150}{8}$

x≤ 18.75

Carmen can buy 2 sneakers and 18 or fewer socks with the $ 350 gift card.

3 0

3 years ago

What is the value of the function at x = 2?

frozen [14]

The value is 2 because it just is.

4 0

3 years ago

Read 2 more answers

PLS HELP 30 POINTS AND BRAINLIEST!!! Which statement correctly names the congruent triangles and justifies the reason for congru

kherson [118]

Answer:

ΔABC ≅ ΔEFD by HL

Step-by-step explanation:

The two triangles given, ∆ABC and ∆EFD, are right triangles.

BC in, ∆ABC, is the hypotenuse and has a length of 5 units, which corresponds to hypotenuse, DF, of ∆EFD. DF also has a length of 5 units.

Therefore, BC ≅ DF.

AC in ∆ABC, corresponds to DE in ∆EFD. Both have the same length.

Therefore, AC ≅ DE.

Since we the hypotenuse of both ∆s and 1 of their corresponding legs are equal, we can conclude that both triangles are congruent based on the Hypotenuse-leg congruency statement, which says that if two right triangles have the same hypotenuse length and a corresponding leg that is equal, both triangles are said to be congruent.

Therefore, ΔABC ≅ ΔEFD by HL

3 0

3 years ago

6.4 × 10^{3} [/tex] + 1.4 × 10^{4} [/tex] + 7.5 × 10³= ?

Gennadij [26K]

6.4 x 10^3 = 6400
1.4 x 10^4 = 14000
7.5 x 10^3 = 7500
total = 6400 + 14,000 + 7500
total = 27900 or 2.79 x 10^4 <===

8 0

4 years ago