Find the quadratic function y = ax2 + bx+c whose graph passes through the given points.

A rectangle has an area of 182 square feet and a base of 13 feet. What is the height?

skad [1K]

Answer:

14 feet

Step-by-step explanation:

Area= base x height

Height=area/base

182/13=14

6 0

3 years ago

one side of the square is 10 units. which is greater, the number of square units for the area of the square or the number of uni

Goshia [24]

It is the area because the perimeter is 10+10+10+10=40 but the area is 10*10=100.

7 0

4 years ago

Correct 0.04945 to two significant figures.

patriot [66]

Answer:

0.049

Step-by-step explanation:

Since the number next to nine is four so we just write out the first two significant figures which excludes zero

6 0

4 years ago

“ Emma needs to wrap a rectangular box with dimensions 24cm by 54cm by 4cm what is the surface area” pleaseeee help I don’t get

Gekata [30.6K]

Answer:

3,216 cm²

Step-by-step explanation:

The question is asking the surface area of a rectangular prism with the given dimension. That area is the sum of the areas of the 6 faces of the prism. Since opposite faces have the same area, we only need to compute 3 areas, then double the sum of those:

S = 2(LW +LH +WH)

This can be made a little easier to compute by some factoring:

S = 2(LW +H(L +W))

It does not matter which dimensions are designated length (L), width (W), or height (H).

__

S = 2((24 cm)(54 cm) +(4 cm)(24 cm +54 cm))

= 2(1296 +4(78)) cm² = 2(1608) cm²

S = 3216 cm²

The surface area of Emma's rectangular box is 3216 square centimeters.

6 0

4 years ago

Researchers suspect that 18% of all high school students smoke at least one pack of cigarettes a day. At the local high school,

Nataliya [291]

Answer:

We conclude that 18% of all high school students smoke at least one pack of cigarettes a day.

Step-by-step explanation:

We are given that researchers suspect that 18% of all high school students smoke at least one pack of cigarettes a day.

At the local high school, a randomly selected sample of 300 students found that 50 students smoked at least one pack of cigarettes a day.

Let p = proportion of all high school students who smoke at least one pack of cigarettes a day.

So, Null Hypothesis, $H_0$ : p = 18% {means that 18% of all high school students smoke at least one pack of cigarettes a day}

Alternate Hypothesis, $H_A$ : p < 18% {means that less than 18% of all high school students smoke at least one pack of cigarettes a day}

The test statistics that would be used here is One-sample z -test for proportions because we are given with the proportions values;

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

where, $\hat p$ = sample proportion of students who smoked at least one pack of cigarettes a day = $\frac{50}{300}$ = 0.167

n = sample of students = 300

So, test statistics = $\frac{0.167-0.18}{\sqrt{\frac{0.167(1-0.167)}{300} } }$

= -0.604

The value of z test statistics is -0.604.

Also, P-value of the test statistics is given to us is 0.2743.

Since, the P-value of test statistics is more than the level of significance as 0.2743 > 0.025, 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 18% of all high school students smoke at least one pack of cigarettes a day.

6 0

3 years ago