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3 years ago

12

Find the z-score for the standard normal distribution where: P (z< -a) = 0.2451

1 answer:

Svetlanka [38]3 years ago

7 0

$\mathbb P(Z$

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Trains Two trains, Train A and Train B, weigh a total of 360 tons. Train A is heavier than Train B. The difference of their weig

Sergio [31]

Since both trains in total weigh 360 tons and train A weighs more than train be, it means that train B is the rest of the weight when you subtract train A from the total amount. Difference means subtraction so just solve this: 360-272 to get train B and you already know that train A is 272 tons. Please mark branliest!

8 0

3 years ago

A seamstress is paid $9.55 for every pair of pants made. how many pants would have to be made to receive $525.00 a week?

Svetlanka [38]

Let the number of pants have to be made be x.

So,

9.55 * x = 525.00

x = $\frac{525}{9.55}$ ≈ 54.97

Thus, the number of pants have to be made are 54.

8 0

3 years ago

Consider the following information related to a set of quantitative sample data:

svlad2 [7]

Answer:

(a) There are outliers

(b) $x$ and $x >62$

Step-by-step explanation:

Given

$\sigma = 14.92$

$\bar x = 22.0$

$q_0 = -24$

$q_1 = 14.5$

$q_2 = 24.5$

$q_3 = 33.5$

$q_4 = 64$

Solving (a): Check for outliers

This is calculated using:

$Lower = Q_1 - (1.5 * IQR)$ --- lower bound of outlier

$Upper = Q_3 +(1.5 * IQR)$ --- upper bound of outlier

Where

$IQR = Q_3 - Q_1$

So, we have:

$IQR = 33.5 - 14.5$

$IQR = 19$

The lower bound of outlier becomes

$Lower = Q_1 - (1.5 * IQR)$

$Lower = 14.5 - (1.5 * 19)$

$Lower = 14.5 - 28.5$

$Lower = -14$

The upper bound of outlier becomes

$Upper = Q_3 +(1.5 * IQR)$

$Upper = 33.5 + 1.5 * 19$

$Upper = 33.5 + 28.5$

$Upper = 62$

So, we have:

$-14 \le x \le 62$ --- the range without outlier

Given that:

$q_0 = -24$ --- This represents the lowest data

$q_4 = 64$ --- This represents the highest data

-24 and 64 are out of range of $-14 \le x \le 62$ .

Hence, there are outliers

Solving (b): The outliers

The outliers are data less than the lower bound (i.e. less than -14) or greater than the upper bound (i.e. 62)

So, the outliers are:

$x$ and $x >62$

4 0

2 years ago

How many and what type of solutions does 7x^2−4x+3 have? 1 rational solution 2 rational solutions 2 irrational solutions 2 nonre

Gre4nikov [31]

Answer:

2 non real solutions.

Step-by-step explanation:

We need to use discriminant,

for ax²+bx+c=0

The discriminat is b²-4ac

If the discriminant is,

→ less than 0, then 0 real solutions

→ equal to 0, then 1 real solutions

→ more than 0, then 2 real solutions

Given that,

7x²−4x+3=0

a=7, b=-4, and c=3

→ (-4)²-4(7)(3)

→ 16-84

→ -68

You can see this is less than 0, then non real solutions. [2 nonreal solutions]

7 0

3 years ago

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Ms. Carmell's art class is making a mosaic to cover an ugly concrete wall along a a highway off ramp the wall forms a right tria

GuDViN [60]

252 you multiply the 42 and 12 then devoid even by 2

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3 years ago