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2 years ago

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if there is 27 marbles in a bag and the amount of red marbles is 5 less than 3 times the amount of blue marbles how many marbles

are blue and how many are red

1 answer:

alexira [117]2 years ago

8 0

Answer:

54

Step-by-step explanation:

5-3=2

so you multiply 2 times 27.

2 times 27 is 54

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Help me, please! I'll give a brainlist point! :)

Allisa [31]

Answer:

105

Step-by-step explanation:

Area of a trapezoid is given by the formula:

A = (a+b)÷2×h

(where h is the vertical height, and a and b are the parallel lines)

Substituting values given gives us:

A = (6+15)÷2×10

A = 21÷2×10

A = 10.5×10

A = 105

Units will be m² as this is area.

7 0

1 year ago

Read 2 more answers

Claim: Fewer than 92% of adults have a cell phone. In a reputable poll of 1207 adults, 85% said that they have a cell phone. Fin

lina2011 [118]

Answer:

- 6.547

Step-by-step explanation:

Given that:

Sample size (n) = 1207

p = 0.85

p0 = 0.92

The test statistic :

Z = (p - p0) / √(p0(1 - p0) / n)

Z = (0.85 - 0.92) / √(0.92(1 - 0.85) / 1207)

Z = - 0.07 / √(0.92(0.15) / 1207)

Z = - 0.07 / √0.0001143

Z = - 0.07 / 0.0106926

Z = - 6.5465446

Z = - 6.547

6 0

2 years ago

Solve for b. 4b-3b+7= 10

Morgarella [4.7K]

b = 3

Step-by-step explanation:

$4b - 3b + 7 = 10$

Add similar terms :

$4b - 3b = b \\ b + 7 = 10$

Collect like terms and simplify

$b = 10 - 7 \\ b = 3$

7 0

2 years ago

Read 2 more answers

An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha

natita [175]

Answer:

Step-by-step explanation:

Given that:

Population Mean = 7.1

sample size = 24

Sample mean = 7.3

Standard deviation = 1.0

Level of significance = 0.025

The null hypothesis:

$H_o: \mu = 7.1$

The alternative hypothesis:

$H_a: \mu > 7.1$

This test is right-tailed.

$degree \ of \ freedom= n - 1 \\ \\ degree \ of \ freedom = 24 - 1 \\ \\ degree \ of \ freedom = 23$

Rejection region: at ∝ = 0.025 and df of 23, the critical value of the right-tailed test $t_c = 2.069$

The test statistics can be computed as:

$t = \dfrac{ \hat X - \mu_o}{\dfrac{s}{\sqrt{n}}}$

$t = \dfrac{ 7.3-7.1}{\dfrac{1}{\sqrt{24}}}$

$t = \dfrac{0.2}{0.204}$

t = 0.980

Decision rule:

Since the calculated value of t is lesser than, i.e t = 0.980 < $t_c = 2.069$ , then we do not reject the null hypothesis.

Conclusion:

We conclude that there is insufficient evidence to claim that the population mean is greater than 7.1 at 0.025 level of significance.

6 0

3 years ago

Priya has picked 1 1/2 cups of raspberries which is enough for 3/4 of the cake how many cups does she need for the whole cake

Zina [86]

Answer:

So Priya need $2$ cups of raspberries for the whole cake.

Step-by-step explanation:

Given data;

$1\frac{1}{2}=\frac{3}{2}$ cups of raspberries which is enough for $\frac{3}{4}$ of the cake.

For making $\frac{3}{4}$ of the cake need $\frac{3}{2}$ cups of raspberries.

For making $1$ cake need $\frac{\frac{3}{2}}{\frac{3}{4}}$ cups of raspberries.

For making $1$ cake need $\frac{3}{2} \times \frac{4}{3}=2$ cups of raspberries.

∴ Priya need $2$ cups of raspberries for the whole cake.

3 0

2 years ago