Answer: 7410 watches
Step-by-step explanation:
From the random sample of 250 watches, 3 are defective. The percentage that's defective will be:
= 3/250 × 100
= 1.2%
Percentage that's not defective = 100 - 1.2 = 98.8%
Therefore, from the sample of 7500 watches, the number that's not defective will be:
= 98.8% of 7500
= 98.8/100 × 7500
= 7410
Therefore, 7410 watches aren't defective
Answer:
a) z = -0.358
b) z = 0.358
Step-by-step explanation:
We are given a standard normal distribution.
a) We have to find the value of z such that the proportion of observations that are less than z in a standard normal distribution is 0.36.
That is,
This value will be calculated with the help of a standard normal table.
From standard normal table we have,
Thus, for z equal to -0.358 the proportion of observations that are less than z in a standard normal distribution is 0.36
b) We have to find the value of z such that 36% of all observations from a standard normal distribution are greater than z.
This value will be calculated with the help of a standard normal table.
Calculation the value from standard normal z table, we have,
Thus, 36% of all observations from a standard normal distribution are greater than z equal to 0.358
Answer:
(1,2),(0,6)
Step-by-step explanation:
Let's solve for x.<span><span><span><span>5x</span>+y</span>−7</span>=0</span>Step 1: Add 7 to both sides.<span><span><span><span><span>5x</span>+y</span>−7</span>+7</span>=<span>0+7</span></span><span><span><span>5x</span>+y</span>=7</span>Step 2: Add -y to both sides.<span><span><span><span>5x</span>+y</span>+<span>−y</span></span>=<span>7+<span>−y</span></span></span><span><span>5x</span>=<span><span>−y</span>+7</span></span>Step 3: Divide both sides by 5.<span><span><span>5x</span>5</span>=<span><span><span>−y</span>+7</span>5</span></span><span>x=<span><span><span><span>−1</span>5</span>y</span>+<span>7<span>5</span></span></span></span>Let's solve for x.<span><span><span>6x</span>+y</span>=4</span>Step 1: Add -y to both sides.<span><span><span><span>6x</span>+y</span>+<span>−y</span></span>=<span>4+<span>−y</span></span></span><span><span>6x</span>=<span><span>−y</span>+4</span></span>Step 2: Divide both sides by 6.<span><span><span>6x</span>6</span>=<span><span><span>−y</span>+4</span>6</span></span><span>x=<span><span><span><span>−1</span>6</span>y</span>+<span>23</span></span></span>Answer:<span>x=<span><span><span><span>−1</span>6</span>y</span>+<span>2<span>3
</span></span></span></span>
Answer:
8 seconds
Step-by-step explanation:
d(t)=400
4t^2+18t=400
4t^2+18t-400=0 subtract 400 from both sides
2t^2+9t-200=0 divide by 2 on both sides
x=8; -25/2 solve using quadratic formula
