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2 years ago

If 75% of the budget is $1200, what is the full budget. using a tape diagram?

Mathematics

1 answer:

notka56 [123]2 years ago

6 0

Answer:

$1600

Step-by-step explanation:

Tape diagram is attached. The xoncept of tape diagram goes hand in hand with cross multiplication. The first diagram shows that 75% is equivalent to $1200 then the second diagram requires to know what 100% would represent.

If 75% which is equal to 3/4 or 0.75 represent $1200

Then what would be 100% or 1

We cross multiply 100*1200/75=$1600

Therefore, the full budget is $1600

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a car rental service rently purchased all new vehicles .to help cover the cost ,rental rates have to increase 26% from the norma

ruslelena [56]

Answer:

The new rate should be $56.67 per day

Step-by-step explanation:

Proportion states that the two fractions or ratios are equal.

As per the statement:

Normal rate per day = $45

To find the new rate:

Let new rate be x per day

By definition of proportion:

$\frac{126}{100} = \frac{x}{45}$

By cross multiply we have;

$100x = 126 \times 45$

Divide both sides by 100 we get;

$x = \frac{126 \times 45}{100}$

Simplify:

x = $56.7

Therefore, the new rate should be $56.7 per day

5 0

2 years ago

charmaine and tesha each have a number of cards, in the ratio 2:3. tesha and holly have a number of cards in the ratio 2:1. if t

Sav [38]

C:t=2:3
t:h=2:1

multiply first equation by 2 and 2nd by 3
c:t=4:6
t:h=6:3
so
c:t:h=4:6:3

if t is 4 more than c
t is 6 units and c is 4
6-4=2
so 4=2 units
2=1 unit

hollly is 3 units
3*2=6
holly has 6 cards

3 0

2 years ago

Leslie started last week with $1200 in her checking account. During the week, she wrote the checks below.

kifflom [539]

Answer: B
Look at the line where it says 935 54
Leslie goes to the salon and pays $30
$935.54 - $30 = $905.54

However, the line after the $30 says $900.59, which is incorrect.

Hope this helps!

6 0

2 years ago

Read 2 more answers

A car insurance company suspects that the younger the driver is, the more reckless a driver he/she is. They take a survey and gr

erastovalidia [21]

Answer:

The confidence interval for the difference in proportions is

$-0.028\leq p_1-p_2 \leq 0.096$

No. As the 95% CI include both negative and positive values, no proportion is significantly different from the other to conclude there is a difference between them.

Step-by-step explanation:

We have to construct a confidence interval for the difference of proportions.

The difference in the sample proportions is:

$p_1-p_2=x_1/n_1-x_2/n_2=(183/217)-(322/398)=0.843-0.809\\\\p_1-p_2=0.034$

The estimated standard error is:

$\sigma_{p_1-p_2}=\sqrt{\frac{p_1(1-p_1)}{n_1}+\frac{p_2(1-p_2)}{n_2} } \\\\\sigma_{p_1-p_2}=\sqrt{\frac{0.843*0.157}{217}+\frac{0.809*0.191}{398} } \\\\\sigma_{p_1-p_2}=\sqrt{0.000609912+0.000388239}=\sqrt{0.000998151} \\\\ \sigma_{p_1-p_2}=0.0316$

The z-value for a 95% confidence interval is z=1.96.

Then, the lower and upper bounds are:

$LL=(p_1-p_2)-z*\sigma_p=0.034-1.96*0.0316=0.034-0.062=-0.028\\\\\\UL=(p_1-p_2)+z*\sigma_p=0.034+1.96*0.0316=0.034+0.062=0.096$

The confidence interval for the difference in proportions is

$-0.028\leq p_1-p_2 \leq 0.096$

<em>Can it be concluded that there is a difference in the proportion of drivers who wear a seat belt at all times based on age group?</em>

No. It can not be concluded that there is a difference in the proportion of drivers who wear a seat belt at all times based on age group, as the confidence interval include both positive and negative values.

This means that we are not confident that the actual difference of proportions is positive or negative. No proportion is significantly different from the other to conclude there is a difference.

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2 years ago

Circle C is shown. Secants U W and Y W intersect at point W outside of the circle. Secant U W intersect the circle at point V an

Nookie1986 [14]

78 degrees mArc V X in the diagram

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2 years ago