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2 years ago

Share 120 in the ratio 3:5:7

Mathematics

1 answer:

Igoryamba2 years ago

6 0

Answer:

24:40:56

Step-by-step explanation:

3+5+7=15

120/15=8 1 Ratio is 8

3x8=24

5x8=40

7X8=56

i dont know if its the easiest method

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What’s the sum of -11+-5

gtnhenbr [62]

Negative + negative cancel each out

so -11 + -5 = 16

7 0

4 years ago

Read 2 more answers

What is the equation in standard form of an ellipse centered at the origin and vertex (1,0) and focus (4,0)

Dmitriy789 [7]

The correct question is
What is the equation in standard form of an ellipse centered at the origin and vertex (4,0) and focus (1,0)


we know that
Standard form of equation for an ellipse with horizontal major axis is
(x-h)²/a²+(y-k)²/b²=1
the center is the origin
so
(h,k) is (0,0)length of horizontal major axis------> 8=2a-----> a=4
a²=16
c=1 (distance from center to focal point)
c²=1
b²=a²-c²-----> b²=16-1----> b²=15

the equation is
(x)²/16+(y)²/15=1

the answer is
(x)²/16+(y)²/15=1

3 0

3 years ago

A college entrance exam company determined that a score of 24 on the mathematics portion of the exam suggests that a student is

seraphim [82]

Answer:

a) The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at 0.01% level of significance

They score is above 24 on the math portion of the exam

b)

Null Hypothesis: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

Alternative Hypothesis: H₁: μ ≠ 24

Step-by-step explanation:

Step(i):-

Given random sample 'n' = 250

Given data sample mean x⁻ = 24.5

Standard deviation = 3.3

Null Hypothesis: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

Alternative Hypothesis: H₁: μ ≠ 24

test statistic

$Z = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{24.5 - 24}{\frac{3.3}{\sqrt{250} } } = \frac{0.5}{0.2087} = 2.397$

a) 99% or 0.01% level of significance

Level of significance ∝ = 0.01

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.01}{2} } = Z_{0.005} =2.576$

The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at 0.01% level of significance

They score is above 24 on the math portion of the exam

b) 95% or 0.05% level of significance

Level of significance ∝ = 0.05

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96$

The Z -value 2.397 > 1.96 at 95% or 0.05% level of significance

Null hypothesis is Rejected at 0.05% level of significance

They score is below 24 on the math portion of the exam

6 0

3 years ago

Please show your work

HACTEHA [7]

250 = 167.93 + x

[She needs $250, she has $167.93, and she needs x more. x represents the amount of money she still needs in order to get 250]

250 = 167.93 + x Subtract 167.93 on both sides

250 - 167.93 = 167.93 + x - 167.93

250 - 167.93 = x

82.07 = x

She needs $82.07 more

Or you could have done:

250 - 167.93 = 82.07

4 0

3 years ago

Ted is a single guy who’s living the good life. The spreadsheet below shows Ted’s cash flow for a month.

Nonamiya [84]

It would be great if you attached the spreadsheet

4 0

4 years ago