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Margaret [11]
3 years ago
5

What is the square root of 6.25

Mathematics
1 answer:
Crazy boy [7]3 years ago
6 0

Answer:

2.5

Step-by-step explanation:

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Consider the following hypothesis test: H 0: 20 H a: < 20 A sample of 60 provided a sample mean of 19.5. The population stand
viva [34]

Answer:

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.          

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, \bar{x} = 19.5

Sample size, n = 60

Alpha, α = 0.05

Population standard deviation, σ = 1.8

First, we design the null and the alternate hypothesis

H_{0}: \mu = 20\\H_A: \mu < 20

We use One-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{19.5 - 20}{\frac{1.8}{\sqrt{60}} } = -2.151

Now, z_{critical} \text{ at 0.05 level of significance } = -1.64

Since,  

z_{stat} < z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.

5 0
3 years ago
Rasheed bought two kinds of candy bars, chocolate and toffee, that came in packages of 2 bars each. He handed out 2/3 of the cho
Contact [7]

Answer:

9 packages of chocolate bars

Step-by-step explanation:

Let he bought c packages of chocolate bars and t packages of toffee bars,

Since, he bought 1 fewer package of chocolate bars than toffee bars.

⇒ c = t - 1  -----(1)

Also, he handed out out \frac{2}{3} of the chocolate bars and \frac{3}{5} of the toffee bars,

If he handed out the same number of each kind of candy bar.

\implies \frac{2}{3}\times c=\frac{3}{5}\times t

10c = 9t     ( By cross multiplication )

\implies t=\frac{10}{9}c    ( Division property of equality )

From equation (1),

c=\frac{10}{9}c-1

1=\frac{10}{9}c-c

1=\frac{10c-9c}{9}

1=\frac{c}{9}

\implies c = 9

Hence, he bought 9 packages of chocolate bars.

4 0
3 years ago
Please help me with this please and thank you
melamori03 [73]

Answer:

B

Step-by-step explanation:

let X represent the smaller paintings and Y represent the larger paintings

since she bought 8 paintings

X+Y=8

She bought all the eight paintings for $230 and X is worth 25 while Y is worth 40

25×X+40×Y=230

25X+40Y=230

7 0
2 years ago
Need help with this problem2(–2x – 4) + 6 = 5 – 3(x + 1) <br> I need the answer to this asap
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