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3 years ago

Whats 7/8+2/3+11/12?

1 answer:

7 0

Simplify the expression and get:
Exact form : 59/24
Decimal form: 2.45833333...
Mixed number form: 2 and 11/24
Hope this helps

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If (x + 1)(x-3) = 5, then which of the following statements is true?

bixtya [17]

Answer:

x=−2 or x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x2−2x−3=5

Step 2: Subtract 5 from both sides.

x2−2x−3−5=5−5

x2−2x−8=0

Step 3: Factor left side of equation.

(x+2)(x−4)=0

Step 4: Set factors equal to 0.

x+2=0 or x−4=0

x=−2 or x=4

5 0

3 years ago

A car travels 50 km in 2 liters find

Savatey [412]

It can travel 125km with 5 liters
And 6 liters to travel 150 :)

5 0

2 years ago

Read 2 more answers

Which expression represents the relationship between the step number n and the total number of small squares in the pattern?

bixtya [17]

Need points sorry

Oofersss

6 0

2 years ago

Read 2 more answers

Plz help me with this

Cloud [144]

$\bold{\text{Answer:\qquad }b)\quad \bigg(\dfrac{1}{2},-2\bigg)}$

<u>Step-by-step explanation:</u>

The vertex form of an absolute value equation is: $f(x)=|x-h|+k$ where

(h, k) is the vertex. In the given equation, $f(x)=\bigg|x-\dfrac{1}{2}\bigg|-2$ , the h-value is 1/2 and the k-value is -2.

So, the vertex (h, k) = (1/2, -2)

8 0

2 years ago

The attention span of children (ages 3 to 5) is claimed to be Normally distributed with a mean of 15 minutes and a standard devi

Agata [3.3K]

Answer:

If the observed sample mean is greater than 17.07 minutes, then we would reject the null hypothesis.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 15 minutes

Sample size, n = 10

Alpha, α = 0.05

Population standard deviation, σ = 4 minutes

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 15\text{ minutes}\\H_A: \mu > 15\text{ minutes}$

Since the population standard deviation is given, we use one-tailed z test to perform this hypothesis.

Formula:

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

Now, $z_{critical} \text{ at 0.05 level of significance for one tail} = 1.64$

Thus, we would reject the null hypothesis if the z-statistic is greater than this critical value.

Thus, we can write:

$z_{stat} = \displaystyle\frac{\bar{x} - 15}{\frac{4}{\sqrt{10}} } > 1.64\\\\\bar{x} - 15>1.64\times \frac{4}{\sqrt{10}}\\\bar{x} - 15>2.07\\\bar{x} > 15+2.07\\\bar{x} > 17.07$

Thus, the decision rule would be if the observed sample mean is greater than 17.07 minutes, then we would reject the null hypothesis.

6 0

3 years ago