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Rus_ich [418]
3 years ago
15

Use the Distributive Property to express 24 + 40.

Mathematics
1 answer:
timurjin [86]3 years ago
5 0

Answer:

4(6+10)

Step-by-step explanation:

4×6=24

4×10=40

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Alex Ar [27]

Answer:

You can either use substation or you can use elimination on both of the problems

Step-by-step explanation:

5 0
3 years ago
Chicken Delight claims that 87% of its orders are delivered within 10 minutes of the time the order is placed. A sample of 80 or
jeka57 [31]

Answer:

There is strong evidence that less than 87% of the orders are delivered in less than 10 minutes.

Decision rule: Reject the null hypothesis if (P-value < level of significance)

Test statistic z=-2.70

Decision: Reject the null hypothesis (0.003<0.010)

Step-by-step explanation:

In this question we have to test an hypothesis.

The null and alternative hypothesis are:

H_0: \pi\geq0.87\\\\H_a:\pi

The significance level is assumed to be 0.01.

The sample of size n=80 gives a proportion of p=61/80=0.7625.

The standard deviation is:

\sigma=\sqrt{\frac{\pi(1-\pi)}{N} }=\sqrt{\frac{0.87*0.13}{80} }=0.0376

The statistic z is then

z=\frac{p-\pi+0.5/N}{\sigma}=\frac{0.7625-0.87+0.5/80}{0.0376} } =\frac{-10125}{0.0376} =-2.70

The P-value is

P(z

The P-value (0.003) is smaller than the significance level (0.010), so the effect is significant. The null hypothesis is rejected.

There is strong evidence that less than 87% of the orders are delivered in less than 10 minutes.

Decision rule: Reject the null hypothesis if (P-value < level of significance)

Test statistic z=-2.70

Decision: Reject the null hypothesis (0.003<0.010)

6 0
3 years ago
It takes Martin 1 hour to ride 65 miles, 2 hours to ride 130 miles and 3 hours to ride 195 miles. How far does he travel in 1 ho
iren [92.7K]

Answer:

65 miles

Step-by-step explanation:

5 0
3 years ago
Solve for r. 42&lt;6-3r&lt;_24<br> Pls help it’s due today
Alika [10]

Answer:

r < -12 and r > -6

Step-by-step explanation:

7 0
3 years ago
X = -2y + 300 3y = 800 - 4x
devlian [24]

Answer:

<h2>x = 140, y = 80</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}x=-2y+300&(1)\\3y=800-4x&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\3y=800-4(-2y+300)\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\3y=800+(-4)(-2y)+(-4)(300)\\\\3y=800+8y-1200\\\\3y=8y-400\qquad\text{subtract}\ 8y\ \text{from both sides}\\\\-5y=-400\qquad\text{divide both sides by (-5)}\\\\y=80\\\\\text{Put it to (1):}\\\\x=-2(80)+300\\\\x=-160+300\\\\x=140

8 0
3 years ago
Read 2 more answers
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