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lbvjy [14]
3 years ago
14

A total of h males and (h - 2) females visit the museum on a certain day. If total of visitors for that day is 80, what is the v

alue of h? A. 38 С. 40 B. 39 D. 41​
Mathematics
1 answer:
Akimi4 [234]3 years ago
3 0

Given:

Number of males = h

Number of females = (h-2)

Total number of visitors = 80

To find:

The value of h.

Solution:

We have,

Number of males = h

Number of females = (h-2)

So, the total number of visitors is:

Total=h+(h-2)

Total=2h-2

It is given that the total number of visitors is 80. So,

2h-2=80

2h=80+2

2h=82

Divide both sides by 2.

h=\dfrac{82}{2}

h=41

Therefore, the correct option is D.

You might be interested in
A ball is chosen at random from a bag containing 150 balls that are either red or blue and either dull or shiny. There are 36 re
tino4ka555 [31]

Answer:

The probability of the chosen ball being shiny conditional on it being red is; 0.375

Step-by-step explanation:

Let A be the event that a red ball has been chosen

Let B be the event that a shiny ball has been chosen

Let S be the total outcomes = 150 balls

Thus;

P(A ∩ B ) = 36/150

A ∩ B' = 150 - 36 - 54

A ∩ B' = 60

Thus; P(A ∩ B') = 60/150

P(A') = 54/150

P(A) = (150 - 54)/150 = 96/150

Thus, probability of the chosen ball being shiny conditional on it being red is;

P(B | A) = P(B ∩ A)/P(A)

Thus; P(B | A) = (36/150)/(96/150)

P(B | A) = 0.375

8 0
2 years ago
1) h(x)=3x3<br>g(x)= - 4x+1<br>Find (h+g)(10)​
Aleksandr-060686 [28]

Answer:

(h+g)(10) = 2691

Step-by-step explanation:

h(x) = 3x^3\\g(x) = -4x+1

Adding both equations will make it:

(h+g)(x) = 3x^3-4x+1

Putting x = 10 will make it:

(h+g)(10) = 3(10)^3-4(10)+1

= 3(1000)-40+1

= 3000-39

= 2961

3 0
3 years ago
At the Foremost State Bank the average savings account balance in 2012 was $1900. A random sample of 45 savings account balanes
lakkis [162]

Answer:

The calculated  |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Mean of the Population = 1900

Given random sample size 'n' =  45

Mean of the sample x⁻ = 1000

Standard deviation of the sample = 225

<u><em>Null Hypothesis</em></u>:-

There is no difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012.

<u><em>Alternative Hypothesis</em></u> :-

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

<u><em>Step(ii</em></u>):-

Test statistic

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

        t = \frac{1000-1900 }{\frac{225}{\sqrt{45} } }

       t = -900 /33.54 = -26.517

      |t| = |-26.517|=26.517

Degrees of freedom

                       γ = n-1 = 45-1 =44

t₍₀.₀₁ , ₄₄₎ = 2.326

The calculated  |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

4 0
2 years ago
What is 6m+ 5 - 3m=7 (m-1)<br> Please answer ASAP
ELEN [110]

Step-by-step explanation:

6m+5-3m=7(m-1)

3m+5=7m-1

5+1=7m-3m

6=4m

6/4=m

3/2=m

I think it is correct .

5 0
3 years ago
Help please man please
Daniel [21]

Answer: 7

Step-by-step explanation:

4 0
3 years ago
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