3y+15> -6 y=3 y= -7 y=13 y= -13

Evaluate the numerical expression 2+(65+7) multiply 3=what

mina [271]

218 is the right answer

6 0

4 years ago

1) Lisa took a trip to Kuwait. upon leaving she decided to convert all of her dinars back into dollars . how many dollars did sh

Yuliya22 [10]

Lisa took a trip to Kuwait upon leaving she decided to convert all of her dinars back into dollars how many

3 0

3 years ago

Kathy wants to paint the faces of her standard six-sided die so that each face is either red or blue. However, she does not want

Wittaler [7]

Answer:

The number of ways Kathy can paint her die is 52 ways

Step-by-step explanation:

The permutation and combination related question is answered as follows;

The number of faces in the six-sided die = 6

The number of colors available for painting the six-sided die = 2 colors

Therefore, we have, the total number of ways Kathy can paint her die, 'n', given as follows;

n = ₆P₂ + 2₄P₄ + 2₄P₃ + ₄P₂

Where;

₆P₂ = The number of ways of arranging 2 objects in 6 spaces = 30

₄P₄ = The number of ways of arranging 4 objects in 4 spaces = 1

₄P₃ = The number of ways of arranging 3 objects in 4 spaces = 4

₄P₂ = The number of ways of arranging 2 objects in 4 spaces = 12

∴ n = 30 + 2×1 + 2×4 + 12 = 52

The number of ways Kathy can paint her die, n = 52 ways.

6 0

3 years ago

I. In a shipment of 300 connecting rods, the mean tensile strength is found to be 45 kpsi and has a standard deviation of 5 kpsi

CaHeK987 [17]

Answer:

a) Between 39 and 40 rods can be expected to have a strength less than 39.4 kpsi.

b) 260 rods are expected to have a strength between 39.4 and 60 kpsi

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 45, \sigma = 5$

(a) Assuming a normal distribution, how many rods can be expected to have a strength less than 39.4 kpsi?

The percentage of rods with a stength less than 39.4 is the pvalue of Z when X = 39.4. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{39.4 - 45}{5}$

$Z = -1.12$

$Z = -1.12$ has a pvalue of 0.1314

13.14% of rods have a strength less than 39.4 kpsi.

Out of 300

0.1314*300 = 39.42

Between 39 and 40 rods can be expected to have a strength less than 39.4 kpsi.

(b) How many are expected to have a strength between 39.4 and 60 kpsi?

The percentage of rods with a stength in this interval is the pvalue of Z when X = 60 subtracted by the pvalue of Z when X = 39.4. So

X = 60

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{60 - 45}{5}$

$Z = 3$

$Z = 3$ has a pvalue of 0.9987

X = 39.4

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{39.4 - 45}{5}$

$Z = -1.12$

$Z = -1.12$ has a pvalue of 0.1314

0.9987 - 0.1314 = 0.8673

86.73% of the rods are expected to have a strength between 39.4 and 60 kpsi

Out of 300

0.8673*300 = 260

260 rods are expected to have a strength between 39.4 and 60 kpsi

4 0

4 years ago

Michael is taking a 500 mile road trip if he is 48% of the way there how many miles has he driven

Natalka [10]

Answer:

Step-by-step explanation:

500× 48 %=240 miles

8 0

3 years ago