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Liono4ka [1.6K]
3 years ago
5

You jog 3.6 miles in 30 minutes. At that rate, how long will it take you to jog 4.8 miles?

Mathematics
2 answers:
krek1111 [17]3 years ago
6 0

Answer:

40 minutes

Step-by-step explanation:

At this rate, to are running 1.2 miles ever 10 minutes. 1.2•4=4.8

madam [21]3 years ago
5 0

Answer:

40 minutes.

Step-by-step explanation:

If you divide 3.6 miles by 3, given that 30 minutes can be divided by 10, and then with the number being 1.2, divide 4.8 by 1.2 and multiply by 10, you should get 40 minutes.

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Several years​ ago, 39​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
BaLLatris [955]
<h2>Answer with explanation:</h2>

Let p be the population proportion  of parents who had children in grades​ K-12 were satisfied with the quality of education the students receive.

Given : Several years​ ago, 39​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students receive.

Set hypothesis to test :

H_0: p=0.39\\\\H_a :p\neq0.39

Sample size : n= 1055

Sample proportion : \hat{p}=\dfrac{466}{1055}=0.441706161137\approx0.44

Critical value for 95% confidence : z_{\alpha/2}=1.96

Confidence interval : \hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}

0.44\pm (1.96)\sqrt{\dfrac{0.39(1-0.39)}{1055}}\\\\0.44\pm0.0299536805135\\\\0.44\pm0.03\\\\=(0.44-0.03, 0.44+0.03)\\\\=(0.41,\ 0.47)

Since , Confidence interval does not contain 0.39.

It means we reject the null hypothesis.

We conclude that 95​% confidence interval represents evidence that​ parents' attitudes toward the quality of education have changed.

8 0
3 years ago
This question has two parts. First, answer Part A. Then, answer Part B.
masya89 [10]

Answer:

$10.12

Step-by-step explanation:

Step one:

given data

we are told that the cost of binoculars is $155.75

and also the sales tax is 7%

Step two:

We want to first solve for the sales tax which is 7% of  $155.75

=7/100* 155.75

=0.070*155.75

=10.12

Cassie will pay a tax of $10.12

Also Cassie will pay a total amount of

= 155.75+10.12

=$165.87

3 0
2 years ago
Using the quadratic formula to solve 4x2 – 3x + 9 = 2x + 1, what are the values of x?
yaroslaw [1]

Answer:

The value of x is:

x=\dfrac{5\pm \sqrt{103}i}{8}

Step-by-step explanation:

we have to use the quadratic formula to solve for x.

The equation is given as:

4x^2-3x+9=2x+1

which could also be written as:

4x^2-3x+9-2x-1=0\\\\4x^2-3x-2x+9-1=0\\\\\\4x^2-5x+8=0

The quadratic formula for the quadratic equation of the type:

ax^2+bx+c=0 is given as:

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

Here we have:

a=4, b=-5 and c=8.

Hence, by the quadratic formula we have:

x=\dfrac{-(-5)\pm \sqrt{(-5)^2-4\times 8\times 4}}{2\times 4}\\\\x=\dfrac{5\pm \sqrt{25-128}}{8}\\\\\\x=\dfrac{5\pm \sqrt{103}i}{8}

Hence, the value of x is:

x=\dfrac{5\pm \sqrt{103}i}{8}

8 0
3 years ago
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Place the fractions 3 7 , 1 3 , 2 5 , and 3 8 in order from least to greatest.
eimsori [14]

Answer:

1/3,  3/8,  2/5,  3/7

Step-by-step explanation:

3/7 \approx 0.42857142857

1/3 \approx 0.33333333333

2/5 = 0.4

3/8 = 0.375

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3 years ago
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How many spoons does Steven have
sleet_krkn [62]

Answer:

<u>The answer is...</u>

<u />

<u />s - 18.<u />

<u />

Hopefully, this helps you!!

AnimeVines

5 0
2 years ago
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