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zvonat [6]
3 years ago
11

Can someone please answer question number 7 with explanation ❤️

Mathematics
1 answer:
Ulleksa [173]3 years ago
7 0

Answer:

a

Step-by-step explanation:

you have to find the hole volume of the other shapes.

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Last Wednesday, a random sample of 24 students were surveyed to find how long it takes to walk from the Fretwell Building to the
Ray Of Light [21]

Answer:

E

Step-by-step explanation:

Solution:-

- We are to investigate the confidence interval of 95% for the population mean of walking times from Fretwell Building to the college of education building.

- The survey team took a sample of size n = 24 students and obtained the following results:

                Sample mean ( x^ ) = 12.3 mins

                Sample standard deviation ( s ) = 3.2 mins

- The sample taken was random and independent. We can assume normality of the sample.

- First we compute the critical value for the statistics.

- The z-distribution is a function of two inputs as follows:

  • Significance Level  ( α / 2 ) = ( 1 - CI ) / 2 = 0.05/2 = 0.025

Compute: z-critical = z_0.025 = +/- 1.96

- The confidence interval for the population mean ( u ) of  walking times is given below:

                      [ x^ - z-critical*s / √n  ,   x^ + z-critical*s / √n  ]

Answer:        [ 12.3 - 1.96*3.2 / √24  ,  12.3 + 1.96*3.2 / √24  ]

                   

3 0
3 years ago
Triangle ABC is shown below.
Andrew [12]

Answer:

C.) 14

Step-by-step explanation:

Look at the triangle: angles b and c have the same arch, so they are congruent.

In a triangle, if two angles are congruent, then the triangle is isosceles, having two equal sides.

The sides opposite the congruent angles are congruent:

∠B → opposite side → AC

∠C → opposite side → AB

The sides AB and AC are equal. Make an equation:

AB=AC\\\\2x=3x-7

Simplify the equation, solving for x. Add 7 to both sides:

2x+7=3x-7+7\\\\2x+7=3x

Subtract 2x from both sides:

2x-2x+7=3x-2x\\\\7=x

The value of x is 7. Insert the value of x into the given length of AC:

AC=3(7)-7

Simplify multiplication:

AC=21-7

Subtract:

AC=14

Therefore, the length of the line segment AC is 14.

:Done

8 0
3 years ago
Function for g whose graph is similar to f(x)=3x^2 shifted right 6 units and upward 5 units
vladimir2022 [97]

f(x) = 3 {x}^{2}

function g has to be the transformation of function f. Therefore,

g(x) = 3 {(x - 6)}^{2}  + 5

is the answer.

8 0
3 years ago
PLEASE HELP!!!!!! In which week was the rainfall in Portland the highest and how much fell?
garik1379 [7]

Answer:

Week 4, 1400

Brainliest plz

Step-by-step explanation:

5 0
3 years ago
The cost of John’s bike(p) cannot exceed $5,000. Write this sentence in the form of a set notation.
lakkis [162]

Answer:

p = \{x \ |  \ x \in Q^+ \  and \ x \leq \$5,000 \}

Step-by-step explanation:

The expression for the cost of John's bike (p) using set notation can written as follows;

We note that the cost of the bike is a member of the positive rational number  and the cost price of the bike cannot exceed $5,000, therefore, it is less than or equal to $5,000, therefore, we get the following set notation;

p = \{x \ |  \ x \in Q^+ \  and \ x \leq \$5,000 \}

5 0
3 years ago
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