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3 years ago

Solve the equation 10x^2+11-6=0

Mathematics

1 answer:

Ivan3 years ago

5 0

Do you have multiple choice? If so maybe this is the answer : 5(2x^2+1)

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What is the slope of the following line?

serg [7]

U use y=mx+b to find the slope, and the answer would be m=-3

8 0

2 years ago

Mr. Brutry ordered 78 pencils for the students in his class. He ordered enough pencils for each student to have exactly 3

alina1380 [7]

Answer:

He has 26 students

Step-by-step explanation:

78/3=26

4 0

3 years ago

A cylinder and a cone have the same base and height. The cylinder can hold about 4,712 Centimeters cubed of sand. Jared says tha

klasskru [66]

Answer:

C. Jared is not correct because the cone and the cylinder have the same base and height so the cone holds 4,712/3≈1,571 centimeters cubed of sand.

Step-by-step explanation:

We have a cone and a cylinder with the same base and height.

We can express the volume of the cylinder as:

$V_{cyl}=\pi r^2H$

being r the radius and H the height.

The volume of the cone can be written as:

$V_{con}=\dfrac{\pi}{3}r^2H=\dfrac{V_{cyl}}{3}$

As they have the same base and height, we know that the volume of the cylinder is 3 times the volume of the cone.

If the volume of the cylinder is 4,712 cm^3, then the volume of the cone is:

$V_{con}=\dfrac{V_{cyl}}{3}=\dfrac{4,712}{3}\approx1571$

8 0

3 years ago

Read 2 more answers

6 divided by 2 times in brackets 1 plus 2 Work this out please.

gogolik [260]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

In a program designed to help patients stop smoking. 192 patients were given to sustained care, and 80.2% of them were no longer

stira [4]

Answer:

We conclude that 80% of patients stop smoking when given sustained care.

Step-by-step explanation:

We are given that in a program designed to help patients stop smoking. 192 patients were given to sustained care, and 80.2% of them were no longer smoking after one month.

Let p = percentage of patients stop smoking when given sustained care.

So, Null Hypothesis, $H_0$ : p = 80% {means that 80% of patients stop smoking when given sustained care}

Alternate Hypothesis, $H_A$ : p $\neq$ 80% {means that different from 80% of patients stop smoking when given sustained care}

The test statistics that would be used here One-sample z test for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of patients who stop smoking when given sustained care = 80.2%

n = sample of patients = 192

So, the test statistics = $\frac{0.802-0.80}{\sqrt{\frac{0.802(1-0.802)}{192} } }$

= 0.07

The value of z test statistics is 0.07.

Also, P-value of the test statistics is given by the following formula;

P-value = P(Z > 0.07) = 1 - P(Z $\leq$ 0.07)

= 1 - 0.52790 = 0.4721

Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that 80% of patients stop smoking when given sustained care.

8 0

3 years ago