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3 years ago

Rebecca has 8 basketball cards. This is 1/5 the amount that Eden has. How many basketball cards does Eden have?

Mathematics

1 answer:

Margarita [4]3 years ago

7 0

Answer:

Eden has 40 basketball cards

Step-by-step explanation:

Just do 5*8 which equals to 40, you can go back and check your answer by finding the 1/5 of 40 and you would receive 8

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If the diver in item 2 leaves the board with an initial upward speed of 2.00 m/s, find the diver's speed when striking the water

Taya2010 [7]

Answer:

$v_f=9.0774m/s$

Step-by-step explanation:

Let's assume

initial velocity =vi

final velocity=vf

initial height =hi

final height =hf

acceleration due to gravity =g

we can use formula

$\frac{1}{2}v_i^2+gh_i= \frac{1}{2}v_f^2+gh_f$

we are given

$v_i=2m/s$

$h_i=2\times 2=4$

$h_f=0$

$g=9.8m/s^2$

now, we can plug values

$\frac{1}{2}(2)^2+(9.8)(4)= \frac{1}{2}v_f^2+(9.8)(0)$

now, we can solve for vf

$\frac{1}{2}(2)^2+(9.8)(4)= \frac{1}{2}v_f^2$

we get

$v_f=9.0774m/s$

4 0

3 years ago

Scale factor 3/4 Coordinates A(1,12) B(1,6) C (0,9) Triangle DEF is a dilation of triangle ABC What's the coordinates of triangl

Arisa [49]

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.

Dilation is the increase or decrease in the size of a figure by a factor (k). If k > 1, then it is a enlargement and if k < 1, it is a reduction. If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).

Triangle DEF is a dilation of triangle ABC by a factor of 3/4. Hence the coordinates of triangle DEF is:

D(3/4, 9), E(3/4, 9/2), F(3/4, 27/4)

6 0

3 years ago

Bradley's shoe length is 17 cm long. Which list shows the dinosaur skeletons that were more than 320 centimeters long?

Likurg_2 [28]

Wouldn't that be 320x17

4 0

3 years ago

The mean breaking strength of yarn used in manufacturing drapery material is required to be more than 100 psi. Past experience h

Ganezh [65]

Answer:

H0: μ = 100 ; H1: μ > 100 ;

Test statistic = 0.75 ;

We fail to reject null ;

Kindly check explanation for the rest

Step-by-step explanation:

Given that :

H0: μ = 100

H1: μ > 100

Sample mean, x = 100.6 ; n = 9 ; sample Standard deviation, s = 2.4

Test statistic :

(x - μ) ÷ s/sqrt(n)

(100.6 - 100) ÷ 2.4 / sqrt(9)

0.6 ÷ 0.8 = 0.75

Probability of not rejecting the null :

P = P(Z > 0.75) = 0.22663

α = 0.05

Since, P > α ; we fail to reject the Null ; there is no sufficient evidence to accept the claim that mean strength is > 100 psi

μ + Zcritical*s/sqrt(n)

Zcritical at (1 - α) = 1.645

100 + 1.645*(2.4/3)

100 + 1.316 = 101.316

(x - μ) ÷ s/sqrt(n)

(101.316 - 102) ÷ 2.4 / sqrt(9)

-0.684 ÷ 0.8 = 0.75

= - 0.855

P(Z < - 0.855) = 0.1963 (Z probability calculator).

95% lower confidence interval :

x - error margin, E

E = Zcritical * s/sqrt(n)

E = 1.645 * 0.8 = 1.316

100.6 - 1.316 = 99.284

From part c :

Interval becomes ;

(99.284, 101.316) ; this interval contains the hypothesized mean value of 100. Hence we fail to reject the null.

8 0

2 years ago

Convert 15.5 feet to<br>meters.

frutty [35]

Step-by-step explanation:

15.5 feet to meter =4.7244

5 0

2 years ago