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3 years ago

9

Line a passes through the points (-3, -2) and (0 , 4). Line b passes through the points (-2 , -3) and (0 , 1). Tell whether each

statement is True or False

1 answer:

Charra [1.4K]3 years ago

3 0

Answer:

F, T, T, F

Step-by-step explanation:

I used desmos (graphing calculator) to put in the points and compared the 2. Hope this helps!

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Which of the following is equal to 5 1/3

Andrews [41]

Answer:

C

Step-by-step explanation:

Using the rule of radicals/ exponents

$a^{\frac{m}{n} }$ ⇔ $\sqrt[n]{a^{m} }$

Given

$5^{\frac{1}{3} }$ = $\sqrt[3]{5}$ → C

7 0

3 years ago

A company is producing two types of ski goggles. Thirty percent of the production is of type A, and the rest is of type B. Five

exis [7]

Answer:

$\dfrac{14}{29}$

Step-by-step explanation:

Let <em>P(A) </em>be the probability that goggle of type A is manufactured

<em>P(B) </em>be the probability that goggle of type B is manufactured

<em>P(E)</em> be the probability that a goggle is returned within 10 days of its purchase.

According to the question,

<em>P(A)</em> = 30%

<em>P(B)</em> = 70%

<em>P(E/A)</em> is the probability that a goggle is returned within 10 days of its purchase given that it was of type A.

P(E/B) is the probability that a goggle is returned within 10 days of its purchase given that it was of type B.

$P(A \cap E)$ will be the probability that a goggle is of type A and is returned within 10 days of its purchase.

$P(B \cap E)$ will be the probability that a goggle is of type B and is returned within 10 days of its purchase.

$P(E \cap A) = P(A) \times P(E/A)$

$P(E \cap A) = \dfrac{30}{100} \times \dfrac{5}{100}\\\Rightarrow P(E \cap A) = 1.5 \%$

$P(E \cap B) = P(B) \times P(E/B)$

$P(E \cap B) = \dfrac{70}{100} \times \dfrac{2}{100}\\\Rightarrow P(E \cap B) = 1.4 \%$

$P(E) = 1.5 \% + 1.4 \% \\P(E) = 2.9\%$

If a goggle is returned within 10 days of its purchase, probability that it was of type B:

$P(B/E) = \dfrac{P(E \cap B)}{P(E)}$

$\Rightarrow \dfrac{1.4 \%}{2.9\%}\\\Rightarrow \dfrac{14}{29}$

So, the required probability is $\dfrac{14}{29}.$

7 0

4 years ago

Complete the statement. Round to the nearest hundredth if necessary<br> 18 ft = { }yd

pav-90 [236]

18 feet equals 6 yards. 18/3

7 0

3 years ago

Read 2 more answers

Use the line plot above to answer all 4 questions. Label your responses (a), (b), (c), and (d). When asked to explain you must u

mojhsa [17]

A) it is left skewed
B) the median is 5
C) the mean is 5.15
D) the mean would be more affected (a change of 1.05 versus a change of 0.5).

The majority of the data is to the right of the graph; this means it is left skewed.

To find the median, write all of the data values out:
2, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7

The middle value is 5.

We find the sum of this set of values and divide by 13, the number of data points, to find the mean:
2+3+4+4+5+5+5+6+6+6+7+7+7 = 67/13 = 5.15

If we added an additional data value at 20, the new median would be 5.5. The new mean would be (67+20)/14 = 6.2. The mean changes more than the median.

4 0

3 years ago

Can anyone check this if it’s right.

Romashka [77]

Yes this is the right answer

6 0

4 years ago