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2 years ago

Please do 7 and 8….

Mathematics

1 answer:

LuckyWell [14K]2 years ago

7 0

Answer: 7. 35, 8. 42.50

Step-by-step explanation:

7. First, convert 4 3/8 to an improper fractoin.

4 3/8 = 35/8

Now divide 35/8 by 1/8 and you get 35.

8. Each ounce increased 5 dollars, so 8.5 ounces increased 8.5*5 dollars = $42.50

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Arielle is building the wooden framework for the roof of a house. She needs the angle created by the vertical and horizontal boa

serg [7]

A² + b² = c² ⇒ right triangle
a² + b² < c² ⇒ obtuse triangle
a² + b² > c² ⇒ acute triangle

a = 12 ft ; b = 15 ft ; c = 20 ft

12² + 15² = < > 20²
144 + 225 = < > 400
369 < 400 OBTUSE TRIANGLE

√369 = 19.21

20 - 19.21 = 0.79

<span>It is an obtuse triangle. About 0.8 foot needs to be removed from the 20-foot board to create a right triangle.</span>

4 0

3 years ago

Two perpendicular lines intersect on the y -axis. The equation of one line is x + 4y - 24 = 0 . Determine the equation of the ot

STALIN [3.7K]

Intersecting on the y axis means x=0.
Plug x=0 in the equation to find out the y value of the intercept> 0+4y-24=0, y=6
so the both line passes the point (0,6)

two perpendicular lines have slopes that are negative reciprocals of each other, that is, if one slope is a/b, the other is -b/a

In this case, the line x+4y-24=0, 4y=-x+24, y=-1/4 x + 6, the slope is -1/4, so the slope of the perpendicular line is 4/1.

the equation is y=4x+6

3 0

3 years ago

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An elevator has a placard stating that the maximum capacity is 1296 lb long dash — 8 passengers. So, 8 adult male passengers ca

Masja [62]

Answer:

There is a 98.26% probability that it is overloaded.

This elevator does not appear to be safe.

Step-by-step explanation:

Problems of normally distributed samples can be 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

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

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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem, we have that:

Assume that weights of males are normally distributed with a mean of 170 lb, so $\mu = 170$

They have a standard deviation of standard deviation of 29 lb, so $\sigma = 29$ .

We have a sample of 8 adults, so we have to find the standard deviation of the sample to use in the place of $\sigma$ in the Z score formula.

$s = \frac{\sigma}{8} = \frac{29}{8} = 3.625$

Find the probability that it is overloaded because they have a mean weight greater than 162 lb, so $X = 162$

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

$Z = \frac{162 - 170}{3.625}$

$Z = -2.21$

$Z = -2.21$ has a pvalue 0.0174.

So, there is a 1-0.0174 = 0.9826 = 98.26% probability that it is overloaded.

Any probability that is above 95% is considerer unusually high. So, this elevator does not appear to be safe, since there is a 98.26% probability that it is overloaded.

8 0

3 years ago

A wire was bent to make a triangular clothes hanger. If the lengths of the sides are 38 cm, 25 cm, 25 cm. Find the minimum lengt

erastovalidia [21]

Answer:

88cm

Step-by-step explanation:

38+25+25=88

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3 years ago

Store pays $50 for a pair of shoes. The markup is 25%.

monitta

Answer:

75%

Step-by-step explanation:

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2 years ago

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